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V. . .. ; :1: v...: Illltflllltliflflilllciizwiifliiilfli|l LIBRARY Michigan State University .3500 This is to certify that the dissertation entitled Factors Influencing Snowmobilers' Aberrant Behaviors: A Comparison of 1998-97 Convicted Snowmobile Law Violators and Other Snowmobilers presented by Joel Anthony Lynch has been accepted towards fulfillment of the requirements for Ph.D. degree in Paris. Beareation and Tourism Resources WM Major professor 77/3/00 MS U is an Affirmative Action/Equal Opportunity Institution 0- 12771 PLACE IN REI'URN BOX to remove this checkout from your record. To AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE p3 Wfléfl @2 JAN 0 ‘7 261% 11/00 M.“ FACTORS INFLUENCING SNOWMOBILERS’ ABERRANT BEHAVIORS: A COMPARISON OF 1996-97 CONVICTED SNOWMOBILE LAW VIOLATORS AND OTHER SNOWMOBILERS By Joel Anthony Lynch A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Park, Recreation and Tourism Resources 2000 ABSTRACT FACTORS INFLUENCING SNOWMOBILERS’ ABERRANT BEHAVIORS: A COMPARISON OF 1996-97 CONVICTED SNOWMOBILE LAW VIOLATORS AND OTHER SNOWMOBILERS By Joel Anthony Lynch In the 1990’s, increases in snowmobiling activity and fatalities over the previous decade heightened snowmobiler safety concerns. Attempts to curb accidents through law enforcement had been only moderately successful, due to limited personnel and budgets coupled with snowmobiler apathy toward regulations. A lack of knowledge about underlying factors contributing to risky or illegal snowmobiling behaviors was a further complication to snowmobile managers and law enforcement personnel. Most previous snowmobile safety research was restricted to accident circumstances or comparisons between accident victims and non-victims. The goal of this study was to identify salient variables that discriminate between convicted snowmobile safety law violators and other snowmobilers. The factors hypothesized to differentiate these two groups were conceptualized using the PRECEDE Model, which postulates that behavior is influenced by predisposing, enabling, and reinforcing factors. Variables for these factors were derived from studies examining snowmobile and vehicle accidents as well as from folk crime research, which compared traffic and fish and game law violators and non-violators. Mail questionnaire data fiom a census of the 983 individuals cited by Michigan Conservation Officers in winter 1996-97 and convicted of a snowmobile safety violation was contrasted with data fi'om a sample of 3,325 other snowmobilers not cited during the same winter. A series of logistic regression models was used to identify differentiating variables the two groups. Based upon this analysis, the 1996-97 convicted snowmobile law violators were younger, snowmobiled more and spent more on snowmobiling than other snowmobilers. They were also more critical of law enforcement and trail management, more likely to perceive the dangers of snowmobiling as someone else’s failure, and members of their households were less likely to have taken a snowmobile safety class. In an equal sized sub sample, the final model correctly classified about two-thirds of 1996-97 convicted snowmobile law violators and other snowmobilers. Model diagnostics suggest that those incorrectly classified as other snowmobilers may have been unwitting violators who had limited knowledge of their violation and no intention to violate. Conversely, many of those incorrectly classified as violators apparently were willing to violate, but were not apprehended in winter 1996-97 by Conservation Officers. Recommended intervention strategies target intentional, situational, and unwitting violators. Future research recommendations include comparing violators over a period longer than one winter with other snowmobilers and examining driving and other recreation related violations on a subject’s record. Also, clarifying the proportion and makeup of violator segments based on motivating factors (situational, intentional or unwitting) would assist managers to better target scarce educational and enforcement resources. DEDICATION T o my Mother, Father, and Wife; F or all their endearing love and support. iv ACKNOWLEDGEMENTS I would first like to thank Herb Burns, Laura Willard, William Leutscher, Susan Kapello, Dave Purol, and Curt Bacon of the Michigan Department of Natural Resources (MDNR) Law Enforcement Division and Dan Moore, Margo Fuller, and Hector Chiunti of MDNR Forest Management Division for their financial support and assistance throughout this project. I would also like to thank the Michigan Agriculture Experiment Station for their financial support. Secondly, I would like express my profound appreciation to Dr. Charles Nelson for his belief in me and my abilities throughout my tenure as a graduate student in the Department of Park, Recreation and Tourism Resources. I am especially thankfiil for his candor, his ability to keep things grounded in reality particularly when things became difficult, and for the innumerable contributions he made throughout my educational endeavors. I am also gratefiil for his guidance through this research and all the other countless research projects I was able to get my hands into during my years at Michigan State University. Thirdly, I cannot adequately express my deep gratitude to my wife Kristine for her all her support in maintaining my sanity while I pursued my degrees, especially my doctoral. I am also extremely appreciative of her taking time away from her own enormous workload to provide feedback and editorial assistance on this dissertation. Additionally, much of the support and encouragement to continue onward in my graduate studies at Michigan State University came as a direct result of my mother and father. I cannot truly express my appreciation to them for the impacts they made in my life from square one. Undoubtedly, without it I would not have achieved this degree. Additionally, I am appreciative of my brother Jason, older sister Juice, and my twin sister Jill, to whom I owe equal thanks for their encouragement and support. I would like to include all my friends for all the good times and the Michigan State University Hockey and basketball teams for the much needed intermissions fi'om the toils of school, work, and of course this dissertation! Finally, a big thanks goes to my committee members, Don Holecek, Gail Vander Stoep, and Larry Leefers as well as other faculty at Michigan State University whom, in their own ways, contributed to my success and my education. TABLE OF CONTENTS CHAPTER 1: INTRODUCTION ........................................................................................ 1 Evolution of Snowmobiles and Snowmobiling .............................................................. l Snowmobilcr Safety and Law Enforcement .................................................................... 2 Folk Crimes ..................................................................................................................... 5 State of Knowledge ......................................................................................................... 6 Conceptual Framework ................................................................................................... 9 Problem Statement ........................................................................................................ 11 Study Objectives ........................................................................................................... 12 Key Study Limitations and Delimitations ..................................................................... 12 CHAPTER 2: REVIEW OF LITERATURE ..................................................................... 14 Overview of Criminal and Deviant Behavior Theories and Models ............................. 15 Predisposing Influences ................................................................................................ 17 Past Behaviors ........................................................................................................ l7 Perceptions of Risk ................................................................................................ 18 Attitudes and the Theory of Planned Behavior ...................................................... l9 Personality .............................................................................................................. 21 Emotions ................................................................................................................ 23 Demographic Factors ............................................................................................. 23 Enabling Influences ....................................................................................................... 24 Exposure and Vehicle Characteristics .................................................................... 24 Skill Level .............................................................................................................. 25 Reinforcing Influences .................................................................................................. 26 CHAPTER 3: RELEVANT FACTORS AND HYPOTHESES ........................................ 29 Predisposing Factors ..................................................................................................... 29 Age ......................................................................................................................... 29 Perceptions of the Dangers of Risky Behaviors and Situations ............................. 30 Attitudes Towards Management and Law Enforcement ........................................ 30 Enabling Factors ............................................................................................................ 31 Exposure and Active Participation ......................................................................... 31 Performance Capabilities of Snowmobiles ............................................................ 32 Reinforcing Factors ....................................................................................................... 32 Family Based Activity ........................................................................................... 32 Investment in Snowmobiling ................................................................................. 33 Lack of Concern for Safety Education ................................................................... 33 Summary of Hypothesized Distinguishing Variables .................................................. 33 CHAPTER 4: METHODS AND PROCEDURES ............................................................ 36 Subjects and Sampling Protocol ................................................................................... 37 1996-97 Convicted Snowmobile Law Violators .................................................... 37 Other Snowmobilers .............................................................................................. 38 Data Collection Method ................................................................................................ 40 Technique ............................................................................................................... 4O Questionnaire Design and Administration .................................................................... 41 Questionnaire Design ............................................................................................ 41 Questionnaire Administration ................................................................................ 43 Questionnaire Response Rate ........................................................................................ 43 1996-97 Convicted Snowmobile Law Violator’s Response Rate .......................... 43 Other Snowmobiler’s Response Rate .................................................................... 44 Survey of Non-Respondents .................................................................................. 44 Administration of Non-Respondent Survey ........................................................... 45 Data Analysis .................................... 46 Descriptive Analysis .............................................................................................. 46 Logistic Regression Analysis ................................................................................. 47 Modeling Strategy ......................................................................................................... 49 Characterizing 1996-97 Convicted Snowmobile Law Violators and Other Snowmobilers ........................................................................................................ 50 Logistic Regression Diagnostics ................................................................................... 53 Nonlinearity in the Logit ........................................................................................ 53 Collinearity ............................................................................................................ 54 Evaluations of Residuals ........................................................................................ 54 Model Discrimination ................................................................................................... 55 CHAPTER 5: DESCRIPTIVE RESULTS ........................................................................ 57 Response and Non-Response Comparison .................................................................... 57 1996-97 Convicted Snowmobiler Law Violator Non-Response ........................... 57 Citation Data Summary and Response and Non-Response Comparison ............... 62 Other Snowmobiler Non-Response ....................................................................... 69 1996-97 Convicted Snowmobile Law Violator and Other Snowmobiler Comparison 72 Household and Respondent Characteristics ........................................................... 72 State and Region of Principal Residence ............................................................... 74 Household Snowmobiles and Use ......................................................................... 75 Rating of Dangerous Snowmobiling Behaviors and Situations ............................. 79 Rating of Fatality Reduction Initiatives ................................................................. 79 Household Snowmobiling Expenditures and Safety Education ............................ 82 Perceptions of Snowmobile Accident Factors ....................................................... 83 Assessment of Independence Between Independent Variables .................................... 84 Descriptive Summary .................................................................................................... 88 vii CHAPTER 6: LOGISTIC REGRESSION ANALYSIS RESULTS ................................. 93 Phase 1: Univariate Analysis ........................................................................................ 93 Phase 2: Initial Logistic Regression Analysis ............................................................... 95 Backwards Variable Selection Model .................................................................... 95 Single Block Entry Model ................................................................................... 100 Initial Logistic Regression Model Diagnostics .................................................... 106 Initial Logistic Regression Analysis Summary .................................................... 115 Phase 3: Logistic Regression Analysis: Model Discrimination .................................. 118 Model Discrimination .......................................................................................... l 19 Model Discrimination Summary .......................................................................... 121 CHAPTER 7: SUMMARY, IMPLICATIONS, AND CONCLUSION .......................... 123 Study Background ....................................................................................................... 123 Summary of Univariate Analysis Findings ................................................................. 124 Predisposing Factors ............................................................................................ 124 Enabling Factors .................................................................................................. 125 Reinforcing Factors .............................................................................................. 126 Summary of Logistic Regression Analysis Findings .................................................. 127 Study Implications and Recommendations ................................................................. 129 Dissemination of Information ............................................................................. 132 Education ............................................................................................................. 133 Law Enforcement ................................................................................................. 134 Legislation and Regulations ................................................................................. 137 Management ......................................................................................................... 139 Research Recommendations ....................................................................................... 141 Delimiting Violators and Non-Violators and Characterizing Different Violators ............................................................................................................... 142 Additional Information ........................................................................................ 145 Conclusion .................................................................................................................. 146 APPENDICES ................................................................................................................. 148 Appendix A: Michigan Snowmobile Questionnaire ................................................... 149 Appendix B: Other Snowmobiler Cover Letter .......................................................... 154 Appendix C: 1996-97 Convicted Snowmobiler Law Violator Cover Letter .............. 156 Appendix D: Other Snowmobiler Follow-up Cover Letter ........................................ 158 Appendix E: 1996-97 Convicted Snowmobiler Law Violator Follow-up Cover Letter ........................................................................................................................... 160 Appendix F: Michigan Snowmobiling Non-Respondent Telephone Survey ............. 162 viii REFERENCES ................................................................................................................ 165 GOVERNMENT REFERENCES ................................................................................... 175 Table 1. Table 2. Table 3. Table 4. Table 5. Table 6. Table 7. Table 8. Table 9. LIST OF TABLES Scale and data type of potential predisposing variables differentiating 1996-97 convicted snowmobile law violators and other snowmobilers. .......... 34 Scale and data type of potential enabling and reinforcing variables differentiating 1996-97 convicted snowmobile law violators and other snowmobilers. ................................................................................................... 25 Household size and snowmobile activity, age, and residency of 1996-97 convicted snowmobile law violator respondents and non-respondents who snowmobiled in Michigan during that winter. ........................................ 58 Selected characteristics of 1996-97 convicted snowmobile law violator respondents and non-respondents household snowmobiles used in Michigan during that winter. ............................................................................................ 59 Regional household snowmobiling activity of 1996-97 convicted snowmobile law violator respondents and non-respondents in Michigan during that winter. ............................................................................................. 60 1996-97 convicted snowmobiler law violator respondents and non-respondents rating of support for selected fatality reduction initiatives. ...61 Age, sex, and state and region of principal residence for all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. ............................................................................... 63 Month, day of week, time of day, and region citations were issued to all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. ........................................ 65 Number and type of moving violations issued to 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. ............................................................................... 67 Table 10. Table 11. Table 12. Table 13. Table 14. Table 15. Table 16. Table 17. Table 18. Table 19. Number and type warnings above and beyond the citation issued to all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter .......................................................... 68 Household size and snowmobile activity, age, and residency of other snowmobiler respondents and non-respondents who snowmobiled in Michigan during winter 1996-97. ..................................................................... 70 Selected characteristics of other snowmobiler respondents and non-respondents household snowmobiles used in Michigan during winter 1996-97. ............................................................................................ 71 Regional household snowmobiling activity of other snowmobiler respondents and non-respondents in Michigan during 1996-97 winter. ........... 71 Other snowmobiler respondents and non-respondents rating of support for selected fatality reduction initiatives. ............................................................... 72 Household size, snowmobiling activity, and respondent age for 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97 ............................................ 73 State and region of principal residence for 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97 ....................................................................................... 74 Snowmobile ownership and use in Michigan by 1996-97 convicted snowmobile law violators and other snowmobilers during winter 1996-97. ....75 Selected characteristics of 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97. ..76 Average estimated household miles and days of snowmobiling for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97 ....................................................................................... 77 xi Table 20. Table 21. Table 22. Table 23. Table 24. Table 25. Table 26. Table 27. Table 28. Regional household snowmobiling activity for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97. ....78 Rating of danger fiom selected snowmobiling behaviors and situations by 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97. ..................................................................... 80 Rating of support for selected fatality reduction initiatives by 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan dining winter 1996-97 ....................................................................................... 81 Household expenditures for snowmobiling and participation in snowmobile safety training for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97 ........................................... 82 Assessment of selected factors contributing to a personal injury or fatal snowmobiling accident with which 1996-97 convicted snowmobile law violators or other snowmobilers were familiar in Michigan during winter 1996-97. ............................................................................................................ 83 Bivariate correlation between independent variables measuring support for selected fatality reduction initiatives for 1996-97 convicted snowmobile law violators and other snowmobilers combined. ................................................... 85 Bivariate correlation between independent variables measuring danger from selected snowmobiling behaviors and situations initiatives for 1996-97 convicted snowmobile law violators and other snowmobilers combined ......... 86 Bivariate correlation between independent variables measuring danger from selected snowmobiling behaviors and situations and support for selected fatality reduction initiatives for 1996-97 convicted snowmobile law violators and other snowmobilers combined. .................................................................. 87 Bivariate correlation between independent variables measuring household snowmobiling activity, safety class, respondent age, snowmobile ownership and selected characteristics, and spending for 1996-97 convicted snowmobile law violators and other snowmobilers combined .............................................. 89 xii Table 29. Table 30. Table 31. Table 32. Table 33. Table 34. Table 35. Table 36. Table 37. Predisposing variables and their statistical significance between 1996-97 convicted snowmobile law violators and other snowmobilers. ........................ 90 Enabling and reinforcing variables and their statistical significance between 1996-97 convicted snowmobile law violators and other snowmobilers. .......... 91 Likelihood ratio and likelihood ratio chi-square tests between the dependent and predisposing independent variables. .......................................................... 94 Likelihood ratio tests between the dependent and enabling and reinforcing independent variables ........................................................................................ 95 Logistic regression statistics for the predisposing, enabling, and reinforcing variables selected in the backwards stepwise logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. ................................................................................................... 97 Logistic regression statistics for predisposing, enabling, and reinforcing variables using single block entry in logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. ........ 101 Logistic regression model statistics with, without, and combined non-significant variables identified in the single block entry in logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. ................................................................................. 102 Logistic regression statistics for predisposing, enabling, and reinforcing variables with the average engine size of household snowmobiles and danger associated with the speed of snowmobiles removed using single block entry in logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. .................................................................. 105 Nonlinearity in the logit results using the Box and Tidwell transformation of the relevant predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. ........ 106 xiii Table 38. Table 39. Table 40. Table 41. Table 42. Table 43. Table 44. Table 45. Nonlinearity in the logit results using the Box and Tidwell transformation of relevant and reconfigured predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. ................................................................................................. 107 Logistic regression statistics for final model with the reconfigured predisposing, enabling, and reinforcing variables using single block entry in logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. .................................................................. 108 Colinearity results for the reconfigured predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. ........................................................................................ 109 Mean age and proportion of the household completing a snowmobile safety class between cases with Studentized residuals values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. ....... 110 Percentage of support for more intensive enforcement of existing snowmobile regulations and rating of the danger associated with the public trail conditions between cases with Studentized residuals values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. ..................... l 11 Percentage of grouped average number of estimated snowmobiling days per household snowmobile and household expenditures for snowmobiling equipment, maintenance, insurance, and storage between cases with Studentized residuals values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. ..................................... 112 Means for the general predisposing, enabling, and reinforcing variables between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. ..................................... 113 Percentage of support for more intensive enforcement of existing snowmobile regulations and rating of the danger associated with the public trail conditions between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. ...................................... 114 xiv Table 46. Table 47. Table 48. Percentage of grouped average number of estimated snowmobiling days per household snowmobile and household expenditures for snowmobiling equipment, maintenance, insurance, and storage between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. ........................................................................................ l 15 Classification table for the final independent variables logistic regression model using single block entry between 1996-97 convicted snowmobile law violators and other snowmobilers. .................................................................. 119 Distribution of predicted probabilities for the final independent variables logistic regression model using single block entry between 1996-97 convicted snowmobile law violators and other snowmobilers. ....................................... 121 XV LIST OF FIGURES Figure 1. Three Michigan Snowmobile Regions ............................................................ 60 Figure 2. Five Michigan Snowmobile Regions .............................................................. 64 Figure 3. Histogram of Observed Group and Predicted Probabilities .......................... 120 xvi CHAPTER ONE INTRODUCTION Evolution of Snowmobiles and Snowmobiling Described as a light-weight sit-upon machine capable of traveling over snow and ice, the 'motor toboggan' developed by Carl Eliason in 1925 is considered the predecessor of the modern snowmobile (Horney, 1970). Yet, it was not until the refinement of the two-stroke engine in the late 1950’s that the snowmobile became economically feasible to mass produce (Sheridan, 1979). The development of the snowmobile, along with increasing participation in outdoor recreation during the 1960’s, dramatically transformed winter recreation patterns. Now, in the late 1990’s, snowmobiling represents a major wintertime recreational pursuit and a thriving industry (Zesiger, 1997). Nowhere else has this been more evident than in Michigan. In a 1997 study of Michigan snowmobiling, it was estimated that during the 1996-97 winter season, snowmobilers rode over 170 million miles during 2.3 million days of snowmobiling (Nelson et al., 1998). The equipment purchased and travel spending to support this use generated an estimated $321 million for Michigan’s economy (Stynes et al., 1998). Snowmobiling has undergone many changes since its emergence in the early 1960’s. The first commercially produced snowmobiles were difficult to handle due to inadequate suspension systems and a high center of gravity. These early snowmobiles likewise suffered from other deficiencies, including poor traction on ice, insufficient lights, and poor brakes (Waller & Lambom, 197 5). Trails for snowmobiling were also initially inadequate, forcing snowmobilers onto open fields, unplowed roads, and frozen waterways. Consequently, most snowmobiling occurred on private lands relatively close to home, with participants averaging four hours of riding per snowmobiling day (Bulter, 1974) Since then, however, snowmobile innovations and enhanced opportunities have dramatically transformed snowmobiling. For instance, snowmobiles were revolutionized in the early 1990’s by the development of suspension systems (Klim, 1996). This not only improved handling, but also the stability and comfort of snowmobiles. Current snowmobiles are also much more powerful, efficient, and considerably more durable than their predecessors. Such improvements have meant quicker acceleration, greater speeds, and longer driving ranges. Opportunities to ride also have been greatly enhanced. An estimated 200,000 miles of marked and groomed trails in the United States are open to snowmobiling enthusiasts. This system is comprised of a network of interconnected trails and links to communities providing lodging, food, fuel, and other amenities. Improvements related to trail systems and the comfort of snowmobiles have facilitated snowmobilers taking more extended trips involving overnight stays than ever before. These changes also have helped recruit new participants. In the 1990’s, a larger number of women and children became snowmobiling enthusiasts (Hermance, 1995). These newcomers have meant a ' growing snowmobile market. The International Snowmobiling Manufacturers Association has reported a resurgence in snowmobile sales since 1990 (Klim, 1997). However, even since its beginning, snowmobiling has not come without management challenges, especially as it relates to the safety of snowmobilers. Snowmobiler Safeg and Law Enforcement As the popularity of snowmobiling grew in the 1960’s, so too did concerns about the safety of the sport. By the late 1960’s, many states reported alarming incidents of non-fatal and fatal snowmobile accidents (Dewar, 197 3). Early examination of accident reports suggested that the causes of these accidents were primarily unsafe behaviors such as alcohol use, night-time operation, and excessive speeds as well as inadequacies related to snowmobile design and riding locations (Withington & Hall, 1970; Wenzel et al., 1973). Studies in the 1980’s and 1990’s examining the relationship between accidents, rider behaviors, and the shortcomings of snowmobiles had similar conclusions (Wenzel & Peters, 1986; James et al., 1991; Rowe et al., 1992; Avis, 1994; Rowe et al., 1994). To reduce the incidence of accidents, states initially instituted snowmobile operation and safety regulations as part of their comprehensive snowmobile legislation. By 1971, nearly all states with snowmobiling activity had enacted legislation outlining such regulations (U SDI, 1971). The intent of these regulations was to define a standard of operation to safeguard snowmobilers, bystanders, and the environment. These regulations can be segmented into three categories: registration, operation, and safety. Registration regulations cover machine licensing and use permit policies. Operation regulations guide the proper use of snowmobiles. These regulations under Michigan laws include setting of a minimum age for operating snowmobiles, prohibiting use on highways, operating while intoxicated, and disturbing the peace and wildlife. Safety regulations set minimum safety standards for snowmobiles, such as the presence of lights, as well as helmet requirements. Typically, a violation of these regulations results in a fine, while more serious offenses such as operation under the influence of alcohol could mean an arrest. Enforcement of snowmobile regulations and laws, especially on public lands, is primarily the responsibility of a state’s natural resource agency or some equivalent. County sheriff and municipal police departments, and, in some cases state police agencies, also have the authority to enforce snowmobile laws and often provide a presence within communities and along roadways. Accordingly, the enforcement of snowmobile laws on Michigan public lands and waterways had been delegated to the State’s Depm'tment of Natural Resources (DNR) Law Enforcement Division (LED). Michigan also has established a snowmobile enforcement grant program that in FY 1997- 98 provided $205,000 in matching monies to participating county sheriff departments to assist their enforcement efforts. In addition, Michigan Public Act 297 of 1998 extended grant eligibility to city, village, and township police departments for the winter of 1999- 2000. It also increased Michigan snowmobile registration fees to provide almost $1 million annually to counties and other local units of government. While snowmobile regulations and their enforcement have done much to improve the safety of snowmobiling, since the mid 1990’s concerns about the safety of snowmobiling have once again intensified. This increase is the result of the higher numbers of fatal and non-fatal accidents and the rising rate of participation in snowmobiling (IL-DC, 1996; CDC 1997; MN-DNR, 1997; WI-DNR, 1997). The magnitude of the predicament is particularly significant, since the number of snowmobiles registered in the 1990’s is considerably lower than the all time highs of the late 1970’s and early 1980’s, while accident numbers are higher. Michigan, as have other states, has experienced an increase in the number of fatal snowmobile accidents. During the winter of 1995-96 more than 40 snowmobiling related fatalities were recorded, doubling the totals from the winters 1993-94 and 1994-95 (Nelson et al., 1998). While the safety of snowmobilers has always been a priority of DNR-LED, the increase in fatal snowmobile accidents magnified this concern. As a result, the DNR-LED began an intensive patrol initiative during winter 1996- 97 to assess increased officer presence and target enforcement to reducing snowmobile accidents. A heavily used three-county area (Kalkaska, Wexford, and Grand Traverse Counties) in the northwestern lower peninsula was chosen for this initiative. During weekends, two units of five to seven officers patrolled trails and roadways targeting unsafe behaviors. While no empirical evidence was gathered on the effectiveness of this initiative, the LED concluded that such efforts were effective in reducing accidents in this area (Willard, 1998). Nevertheless, statewide fatal and non-fatal accidents remained steady that year. While attempts to mitigate the unsafe behaviors associated with snowmobile accidents by instituting and enforcing operation and safety regulations may be effective, it has its limitations. For instance, many regulations have not been amended since the early 1970’s and may not reflect snowmobiles and snowmobilers in the let century. In addition, the effectiveness of law enforcement is hampered by the expense of more personnel, over-time pay, and the immensity of the task. A vast system of intertwined trails and frozen waterways is difficult to patrol with few officers. Lastly, enforcement of any law is contingent upon the individuals being regulated and their disposition toward the law in general, as well as the behaviors the law is intended to regulate. Folk Crimes The term ‘folk crimes’ was first used by Ross (1961) to describe violations, such as traffic ofi'enses, that, while legally punishable, are not perceived by society as deviant behavior. A broader concept, ‘mundane crime,’ is used by Gibbions (1983) to depict a wider array of activities that include petty vice and public disorder offenses, work place crimes, environmental abuse offenses, and folk crimes. The characterization of certain violations as less than deviant emerges from fundamental differences between the nature of these acts and what many consider more serious forms of deviant behavior. For instance, the sheer volume of traffic violations committed each year is overwhelmingly larger than other offenses such as thefi (Ross, 1961). As a result, folk crime violations are largely viewed by society as part of some norm, especially since the typical penalty is a minor fine. F urthennore, a folk crime violator is not stigmatized by society since the violation is considered a relatively innocuous technical aberration that lacks immoral intent. A wide range of motives and situational influences, such as knowledge about the law, are also thought to be at the root of such acts, further compromising compliance and effective enforcement (Gibbions, 1983). This notion is central to Gramann and Vander Stoep’s (1987) segmentation of violators’ rationale for depreciative behaviors in outdoor recreation settings and Goldstein’s (1996) illustration of the motivations for vandalism. The persistence of these folk crime activities also is tied to the interaction between law enforcement personnel and violators. Officers typically have considerable discretion in determining whether to cite an individual for violating a law. For instance, police officers use ‘personal tolerances’ to define what constitutes a violation of the law (Rothe, 1994). Thus one officer may let a Speeder go while another enforces the law. Creating such inconsistencies reduces the internal integrity of the law (Ross, 1983). State of Knowledge Curtailing snowmobile accidents is a formidable task given the magnitude of the enforcement situation and the perspective some individuals take toward risky snowmobiling behaviors and the regulations governing them. However, this task is particularly hampered by a lack of knowledge about the relationship between risky snowmobiling behaviors and fundamental influences or circumstances driving such behaviors. As of the late 1990’s, research concerning the safety of snowmobilers has been focused primarily on describing the nature of snowmobile injuries and the circumstances surrounding the accidents, especially as they relate to the role of alcohol (Rowe et al., 1993). The limiting factor in these studies is that they utilized retrospective data derived from accidents reports. While these studies have contributed to our understanding of snowmobile accidents, few have considered how factors such as a snowmobiler’s attitudes, perceptions, experience, and other characteristics are related to aberrant behaviors and the likelihood of one being involved in an accident (Rowe et al., 1993). One of the first studies to do so was conducted by Carlson and Klein (1971) on snowmobile owners in Michigan. They compared the traffic records of snowmobilers who had reported a snowmobile accident with those who did not report one. They found that those with accidents had more traffic violations and automobile crashes than the other group. A 1972 comparison of driving records of a sample of snowmobile owners and non-owners from a single county in Vermont was made by Waller (1975). However, no difference in the number of traffic violations or accidents was found among the groups. Yet, differences were detected in a second study the following year (Waller & Lambom, 1975). In this study, they conducted extensive interviews with injured snowmobilers during the winters of 1971-72 and 1972-73. These snowmobilers were compared with non-injured snowmobilers interviewed during the same season. In terms of miles driven, injured snowmobilers had either ridden very few miles or had ridden 1,000 or more miles. Lack of familiarity with the machine or environment, higher horsepower snowmobiles driven at greater speeds, previous snowmobile accidents, greater likelihood of alcohol consumption, and being more prone to fi'ustration were all factors that differentiated injured and non-inj ured snowmobiles. Moreover, injured snowmobilers also were younger and lacked snowmobiling experience, skills, and judgment about safety. More recently, a 1993 mail survey was conducted with a sample of snowmobilers from Sudbury, Ontario, Canada to develop a profile of snowmobilers at risk for involvement in a snowmobile accident (Rowe et al., 1993). The results revealed that snowmobiling greater distances and a greater number of times per year, as well as frequently exceeding posted speed limits on lakes and groomed trails, put snowmobilers at greater risk to be involved in an accident. The use of high performance (greater than a 500 cc engine size) machines was not associated with accident involvement. Such studies have begun to identify factors that influence aberrant behaviors that potentially contribute to a snowmobiler’s risk of an accident. Yet much of the knowledge gained from these studies is based upon snowmobiling patterns and snowmobile characteristics of the 1970’s. Since the mid 1990’s, snowmobiles and snowmobiling have changed considerably. Furthermore, these studies have focused on snowmobilers who were involved in a snowmobiling accident and have overlooked those who violate snowmobile regulations. Traffic safety researchers have long been interested in how underlying factors, especially the role an individual’s psychological disposition, have influenced risky driving behavior and the likelihood of involvement in an accident (Elander et al., 1993). Early research, particularly Tilrnan and Hobbs’ (1949) study of cab drivers, identified a general association between social deviance and accident involvement. Similarly, through their work with adolescents, J essor and J essor (1977) assert that various deviant behaviors, such as dangerous driving and drug use, resonate from a general deviant disposition. Recent studies of those who disobey traffic laws have revealed not only a prior pattern of law violations, but also a greater likelihood of involvement in traffic accidents than law abiding drivers (West et al., 1993; Lawton et al., 1997a; Meadows et al., 1998). Evidence of these and other distinguishing factors associated with aberrant behaviors and accident involvement have been identified by researchers through comparisons between folk crime law violators and non-violators. Key comparisons have also been made in research involving traffic and fish and game laws. Conceptual Framework Conventional comparative research of violators and non-violators of traffic and fish and game laws has often been limited to a small number factors related to an individual's disposition. For example, studies have been conducted about how attitudes or personality differ among the respective groups. Yet, researchers have often speculated that a complex array of interactive factors influences an individual’s choice to violate a given law or put them at risk for being involved in an automobile accident. In an attempt to account for the influences of a multitude of factors, Gabany and associates (1997) have turned to the PRECEDE Model to develop a more robust inventory of factors that influence a driver’s speeding behavior. This model was developed originally by Green and colleagues (1980) to evaluate health education programs, but it has been shown to have other applications, especially in studying factors affecting unhealthy behaviors (Mullen et al., 1987). Thus, this model is applied to conceptualize and analyze differences between 1996-97 convicted snowmobile law violators and non-violators. The structure of the model is seen as a heuristic framework within which influences of behaviors are conceptualized as resulting from three components (Mullen et al., 1987, p. 974); l. Predisposing factors: Preferences and prior motives that people bring to an experience, including knowledge, attitudes, beliefs, values, and perceptions that either support or inhibit behavior. 2. Enabling factors: Objective characteristics of an individual, community, and environment that facilitate action on behavior. 3. Reinforcing factors: Rewards or punishments, including social support that follow a behavior or are anticipated as a consequence of it. Potential variables conceptually differentiating snowmobile law violators and non-violators are derived from research examining snowmobiling accidents as well as research comparing traffic, fish, and game law violators and non-violators. The variables identified in the traffic safety and fish/wildlife literature are conceptually generalizable to studying snowmobile law violators and other snowmobilers due to the similar nature of these aberrant behaviors. Differences are segmented using the three components of the PRECEDE Model. In general, predisposing factors suggest that violators differ from non-violators in past behaviors, perceptions of risk, attitudes, personality, and emotion factors. Regarding past behaviors, violators have been shown to have histories of prior traffic violations as well as accidents (Garretson & Peck, 1982; Cooper, 1997). Moreover, violators have been shown to have different perceptions of risk. For instance, they believe that they are less likely to be involved in accidents because they consider themselves to be more competent than the average driver (DeJoy, 1993; Guppy, 1993). In terms of attitudes, violators ofien have negative attitudes toward law enforcement and laws regulating behaviors (Andersen, 1987; Kanellaidis et al., 1995). Psychometric measurements of violators’ personalities have found them to be more sensation seeking, impulsive, and hostile (McMillen et al., 1992). Lastly, more positive feelings towards violating laws resulted in increased tendency to engage in violations @awton et al., 1997b). Exposure, defined as the duration of time one engages in an activity, is one enabling influence that differentiates traffic law violators from non-violators. Violators tend to drive more than non-violators (Kanellaidis et al., 1995). While vehicle characteristics have received limited attention, a weak relationship between engine size and the propensity for traffic accidents has been demonstrated (Rothengatter, 1988). Lastly, greater skill has been identified as a salient factor of hunters apprehended for violating game laws versus non-violating hunters (Gray & Karninski, 1994). Reinforcing influences characterize those factors that provide one with an incentive or reward for deviant behavior. Peer and family support have been shown to influence hunters and fishermen to violate fish and game laws (Jackson, 1980; Curcione, 1992). Moreover, while the prime motive for poaching is usually to provide food, research also has shown poaching offered pleasure, achievement, and excitement (F orsyth et al., 1998). 10 Problem Statement In the 1990’s, higher numbers of fatal and non-fatal snowmobile accidents, coupled with increased participation and more trails, have renewed concerns about snowmobiler safety. As a general rule, snowmobile regulations were instituted to establish a standard of safe operation and conduct. Attempts to curb snowmobiling accidents solely through the institution and enforcement of such regulations have been difficult due to limited law enforcement personnel and budget, as well as antipathy toward regulation by many snowmobilers. The situation is further complicated by insufficient knowledge about the influences and circumstances contributing to risky or illegal snowmobiling behaviors. Typically, research conceming the safety of snowmobilers has relied on accident data, focusing mostly on descriptions of accident circumstances. The few studies that were designed to distinguish underlying factors that influence aberrant snowmobile behaviors are out-of-date and restricted to individuals involved in snowmobiling accidents. Nevertheless, managers and law enforcement personnel are required to ensure the safety of snowmobilers and bystanders. Comprehending key factors affecting snowmobilers’ aberrant behaviors would be useful in improving snowmobiling safety. For example, law enforcement may be able to more easily identify high risk individuals or particular characteristics that contribute to unsafe behaviors. Managers may be able to learn more about the unsafe snowmobilers’ riding habits and institute changes in design, informational messages, safety education, and policies to improve the situation. Consequently, this study attempts to identify salient variables that predispose, enable, and reinforce aberrant snowmobiling behaviors. It then seeks to create a profile of a snowmobiler who is inclined to violate snowmobile laws. 11 Study Obiectives Three specific objectives are defined for this study. 1. Compare characteristics of those individuals cited for snowmobiling safety violations by Michigan DNR-LED Conservation Officers during the winter of 1996-97 and convicted for such offenses, (here-after called 1996-97 convicted snowmobile law violators) with a sample of Michigan snowmobilers not cited and convicted that winter (here-after called other snowmobilers). 2. Using those variables identified as having overt influences on snowmobilers’ behavior, examine the PRECEDE model’s ability to discriminate between 1996-97 convicted snowmobile law violators and other snowmobilers. 3. Based on the above two objectives, propose management actions to reduce risky snowmobiling behavior, and by inference, accidents. Key Study Limitations and Delimitations Limitations are shortcomings of the study methodology, while delimitations are researcher imposed boundaries placed upon on the study. In this study, the key limitation was the sample population of convicted snowmobile law violators. Those convicted violators included in the study are assumed to be representative of all those convicted of a Michigan snowmobile law violation in 1996-97. However, this can not be proven. This group only includes those who were cited by DNR Conservation Officers during winter 1996-97 and convicted. County Sheriffs and Michigan State Police also issued an unknown number of citations to snowmobilers during the winter 1996-97. Statewide data on their activities were unavailable at the time of the study, although following winter 1999-2000 such records are likely to be available from DNR-FMD. At the time of the study, such citations were reportedly kept on file at the individual county level or with the Michigan State Police. Hence, violators who were cited by either County Sheriffs or Michigan State Police, but not Conservation Officers, were excluded from this study because it was impractical to acquire these citations. The key delimitation of this study related to the definition used to segment 1996- 97 convicted snowmobile law violators and other snowmobilers. In this case, convicted snowmobile law violators included only those that were cited and convicted during the 12 1996-97 winter season. Inevitably, there were other snowmobilers during winter 1996-97 who violated the law but were not cited and convicted. Further, those cited and convicted of violations in the pervious winters were not included as violators. Finally, at the request of the DNR-LED, other snowmobilers or 1996-97 convicted violators were not asked about past convictions on snowmobile law violations. 13 CHAPTER TWO REVIEW OF LITERATURE The purpose of this study is to identify, through a comparison of 1996-97 convicted snowmobile law violators and other snowmobilers, salient variables that predispose, enable, and reinforce aberrant snowmobiling behaviors and to create a profile of a snowmobiler who is inclined to violate snowmobile laws. Research pertaining to traffic law violators and fish and wildlife law violators has identified a number of characteristics differentiating violators from other participants in those activities. Accordingly, these bodies of literature are examined to aid in formulating a conceptual set of variables likely to distinguish snowmobile law violators from other snowmobilers. Researchers studying traffic and fish and wildlife violators have developed their own definitions and research procedures. As a result, there are some fundamental differences between these two bodies of research that are important to note. For instance, offenders tend to be characterized differently. Traffic safety researchers often define violators based upon a specified quantity of traffic law convictions or the seriousness of their violation(s). A definition involving quantity is used because some traffic researchers generally feel that some driving violations are unintentional errors so that delineating individuals with more than one citation tends to segment the willful violator (Reason et al., 1990). In addition, traffic researchers classify violators as ‘high risk’ drivers. This spectrum also includes those involved in accidents and those who engage in dangerous behaviors such as speeding. Fish and wildlife researchers, on the other hand, tend to characterize violators based on a single conviction. However, these violators are not necessarily at high risk to repeat violations or a hunting accident. Lastly, offenders are ofien distinguished from non-offenders based upon self- reported behaviors or self-numerated convictions. Thus, members of comparative groups literally classify themselves and may not be mutually exclusive. Research comparing fish 14 and wildlife law violators from non-violators does so with convicted violators (as noted by a court of law) as a separate group, not relying on self-classification. The review of literature presented begins with a brief overview of the theoretical foundations and models used to explain deviant and criminal behavior. The rest of the chapter is a synopsis of key distinctions between folk crime violators and non-violators as well as accident victims and non-victims. This section is organized using the three conceptual components of the PRECED Model. It begins with the predisposing influences, which includes past behaviors, perceptions of risk, attitudes and the theory of planned behavior, personality, emotions, and demographic factors. Next, enabling influences cover topics pertaining to exposure, vehicle characteristics, and skill levels, while reinforcing influences include factors related to associations and motives. Overview of Criminal and Deviant Behavior Theories and Models There are a wide range of theories, and subsequently conceptual models, concerning the causation of criminal and deviant behaviors (Cullen & Agnew, 1999; Williams & McShane, 1999). Typically, the emphasis of these theories and models corresponds to major scientific disciplines such as biology, which looks to explain behaviors using genetic, chemical, neurological, or physiological variables; psychology, based upon personality or emotional aspects; and sociology, which explains behaviors using cultural and socio-demographic traits (Akers, 1994). Over the years, new theories and models have emerged integrating biology, psychology, and sociology elements (Miether & Meier, 1994; Williams & McShane, 1999). In addition, these theories and models are often further segmented based upon on their analytical dimension (Akers, 1994). For instance, some of the models focus on the individual’s human nature. They attempt to explain how someone becomes a criminal. Typically, these models focus on fundamental attributes, such as disposition, to explain differences between individuals who commit versus those who refrain from committing 15 criminal acts. Contrary to these models, the second dimension focuses on the social phenomenon, relating to social and cultural factors, of offender groups. As a result, the variables and structural relationship between model components vary considerably, ranging fiom simple sequential linear models to interactive and dialectical models (Einstadter & Henay, 1995). These criminal and deviant theories and models have limited applicability in studying folk crimes. For example, most theories focus exclusively on serious crimes involving willful intent (e. g. murder, rape) versus technical infiactions (e.g. traffic and public disorder offenses) (Ross, 1961 ). Moreover, they tend to concentrate on the explicit aspects of a criminal’s behavior, investigating only a few key variables rather than a totality of circumstances. However, integrative behavioral models focusing on targeted behaviors (legal or illegal) have proven more useful in studying common risky and illegal behaviors. For instance, the Theory of Reasoned Action (Ajzen, 1985), which postulates behavioral intentions are a function of attitudes, subjective norms, and perceived control, has been used by traffic safety researchers as a way to examine those involved in a wide number of risky and illegal traffic behaviors (Parker et al., 1996). More recently the PRECEDE Model, which postulates our behaviors are influenced by predisposing, enabling, and reinforcing factors, has been applied to develop an inventory of influences and circumstances related to driver’s speeding behavior (Gabany et al., 1997). The merit of the PRECEDE model, over the Theory of Reasoned Action Model, is that accounts for a wider range of prebehavioral influences and circumstances. As a result, it is adopted here to conceptualize and analyze differences between 1996-97 convicted snowmobile law violators and other snowmobilers. l6 Predisposing Influences Aberrant driving behaviors, and in many cases traffic accidents, often have been attributed to an individual’s disposition. Consequently, the psychological functioning of the driver has been a major subject of study of traffic safety researchers. Past Behaviors Some of the earliest traffic research of those involved in accidents detected a moderate, but reliable, correlation to prior traffic violations. For example, Jonah and colleagues (1981) conducted interviews with a sample of motorcycle operators from Ontario, Canada a year after they were licensed to ride. In a comparison of those involved in an accident with those who were not, they found that the accident group was more likely to a have traffic violations than the non-accident group. Moreover, they found the accident group was significantly younger, rode more powerful motorcycles, rode more miles, and reported that they had ridden after using alcohol. Of these factors, the age of the operator was found to be highly correlated with accident involvement, leading the authors to conclude that younger riders may lack experience and be more likely to engage in risk-taking behaviors. Similar findings about the relationship between traffic violations and accidents are noted with automobile drivers. For example, Garretson and Peck (1982) used discrinrinant analysis to differentiate a sample of fatally injured California drivers from a sample of drivers from the general population based on the total number and seriousness of prior traffic violations. They concluded that generally young male drivers with prior convictions were more likely to be involved in a fatal accident than others. Other researchers have examined the link between prior traffic violations and specific risky behaviors. Evans and Wasielewski (1982) compared the driving records of individuals identified from license plates in photographs measuring the time interval between them and the preceding vehicle in the same lane. As they predicted, drivers who 17 1efi less than one second between themselves and the preceding vehicle had significantly more points associated with traffic law violations. Using speeding as a form of risky behavior, Cooper (1997) matched the driving records of individuals involved in traffic accidents between 1991 through 1994 and found that drivers with more total speeding convictions were associated with a higher number of crashes. This was especially true if the convictions were for excessive speeds, defined as 40 km/h or more over the speed limit. The relationship between the abundance and seriousness of prior traffic violations and accident involvement has been the crux of much of the traffic safety research. This led to the question, what are the fundamental psychological influences on these risky drivers? One such area of traffic safety research that logically grew from this relates to the perception of risk. Perceptions of Risk Traffic safety researchers turned to investigating traffic offenders’ perceptions of risk and the association of that with skills, apprehension, and accident likelihood. In one such study of male drivers in the United Kingdom, Guppy (1993) asked violators and non-violators, classified by self-reported drinking and driving and speeding behaviors, to rate the probability of being apprehended by police and being involved in an accident. Through an analysis of variance, Guppy concluded that both those who drink and drive and those who speed considered themselves less likely to be involved in an accident or being apprehended than those who did neither. The likelihood of an accident was also the subject of a study by DeJoy (1992). Through a questionnaire, he asked male and female college students to judge their driving safety, skills, and accident likelihood against others in their own age group and the average driver. Additionally, they rated fifieen deviant driving behaviors on frequency, seriousness, accident likelihood, and apprehension likelihood. Finally, they self-reported their involvement in accidents and their convictions for speeding, driving under the 18 influence, and other moving violations. Using correlation analysis, DeJoy found that males considered themselves to be more competent and safer than females. While both males and females held similar perceptions about the frequency and likelihood of accidents resulting from deviant behaviors, males tended to perceive the behaviors as less serious. A violator index, created by summing all self-reported traffic convictions, was used as the dependent variable in a follow-up regression analysis of perceived driving safety, skill, and accident likelihood. It was concluded that those with worse records rated themselves as less skillful and safe. Jonah (1986) synthesized much of the early research related to young drivers and risky behaviors such as speeding or driving under the influence. He concluded that, even when controlling for exposure and age, younger drivers, particularly males (18-25 years old), engage in risky deviant behaviors more than others. This was the same conclusion reached by Elander and others (1993) in another review of traffic safety literature. Attitudes and the Theog of Planned Behavior Attitudes also have been investigated by researchers to identify distinctions between violators and non-violators. In one such study of Michigan deer hunters, Andersen (1987) used a mail questionnaire to compare attitudes towards wildlife laws and management between all those cited in 1982 for violating deer laws with a random sample of deer hunters derived from the same hunting year license sales. Additionally, he used ten socio-economic variables to explore their relationship to the formation of these attitudes. Through multivariate analysis he found partial support for the hypothesis that violators generally have unfavorable attitudes towards wildlife laws and management. In the analysis of socioeconomic variables, he found that lower occupation status, lower income, younger, long-time rural residents, and less educated individuals had more negative attitudes towards law enforcement and were more likely to violate. Similar attitudes towards wildlife laws, enforcement, and management as well as socioeconomic l9 variables have been corroborated in other studies comparing apprehended violators with lawful hunters (Stoll, 1975; Melynk, 1977). Attitudes also have been the subject of investigation in research concerning traffic violators and non-violators. Kanellaidis and others (1995) surveyed driver attitudes toward speed limits in Greece to determine a profile of speed limit violators. Using a mail questionnaire, data were collected about the driving habits, attitudes and views about speed limits, self-reported compliance with speed limit laws, demographic information, and attributes of the vehicle driven. Discriminant analysis was used to profile violators, while factor analysis was used to analyze the reasons for speeding. The discriminant analysis revealed that those who reported seldom or never complying to speed limits were younger males, had higher education level attainment, and annually drove a higher number of miles. Three factors were revealed by the factor analysis regarding violator’s attitudes toward speed limits. The first factor described violators who show off or speed as a way to release emotions. The second factor identified external reasons such as the absence of police or wanting to keep up with traffic, while the last factor showed a general disagreement with speed limits. Similar conclusions were reached in a study of Illinois motorcycle riders who had taken a safety course versus those who had not in during 1980-1983 (Mortimer, 1988). Using regression analysis with individuals cited for moving violations, Mortimer concluded that those with violations were younger, less likely to wear helmets, and more likely to be involved in accidents. The author concluded that “attitudes about safety gear, inexperience, and other aspects of youth and inadequate skill and judgment are related to motorcyclists’ violations” (Mortimer, 1988, p. 194). Donovan and others (1983) summarized several studies relating driver attitudes, violations, and accident occurrences. Their synthesis identified six attitudes that enhanced driving risk. These included: 1) attribution of the causes of accidents to factors beyond personal control, 2) driving as a means to reduce tension, 3) driving as a means of 20 increasing the perception of personal efficacy, status and power, 4) driving as a means of increasing personal confidence, 5) positive evaluation of speed, risk-taking, and sensation while driving, and 6) an aggressive attitude while driving through which acute and chronic anger and resentment are expressed (Donovan et al., 1983, p. 410). F ishbein and Ajzen’s (1975) model, the Theory of Reasoned Action, and its updated version, the Theory of Planned Behavior (Ajzen, 1985) have been used by traffic safety researchers as a way to examine the impacts of attitudes, subjective norms, and perceived control on behavioral intentions related to law violations. One such study assessed the intentions of drivers from southern England to engage in four types of deviant traffic behaviors (Parker et al., 1992). These included drinking and driving, speeding, close following, and risky overtaking. Based on a series of regression analyses using a number of variables measuring driving experience and demographics, they concluded that violators were more likely to be males, have high opinions of their skill, and be less concerned about other people’s opinions. Personalig Many traffic safety researchers have explored the function of decision making styles as independent measures, beyond beliefs and attitudes, of tendencies to violate traffic laws (Elander et al., 1993). Accordingly, psychometric measurements of personality related to sensation seeking, impulsively, hostility, and others have been used in numerous studies of traffic law violators and non-violators. One of the early studies to use measures of violator personalities was Shoham and associates (1984). In their study, they compared risk-taking, irnpulsiveness, anxiety, sensation seeking, driving habits, and other variables of known violators and non-violators. As postulated, non-violators (described as anxious drivers) and violators (depicted as reckless drivers) were found to differ from each other on all personality measures except risk-taking. They also noted that the reckless drivers tended to display deviant behaviors and break the law more often. 21 McMillen and others (1992) examined personality traits of drinking and non- drinking college students using scales measuring sensing-seeking, social responsibility, and hostility. In addition to the personality traits, students were asked about driving habits, accidents, traffic offenses, drinking behaviors, and perceptions of risk-taking by driving afier drinking. Through an analysis of variance, they concluded that those individuals apprehended for driving under the influence of alcohol (DUI) were significantly different on all personality measures fiom the other group. Wilson (1992) found similar personality traits in a comparable study of convicted DUI drivers in Ontario, Canada. However, this study differed from others because, in addition to the DUI and control group, it also examined drivers having three or more accidents and drivers with a high number of traffic law violations. The researchers obtained the driving records of all subjects and ascertained driving attitudes and motivations, deviant lifestyle habits, and social-environmental influences through interviews. As expected, the DUI group differed by having a more deviant lifestyle (using drugs, alcohol, etc.) from the accident and violation group, which was found to differ from the control group. However, with the exception of the control group, no differences were found with regard to driving-related attitudes. Other studies of traffic violators have examined the role of social deviance. For example, a series of questionnaires was administered to 108 drivers in England over a three-year period starting in 1988 to collect data on personality, demographic details, driving habits, accidents, and a scale measuring general social deviance (West et al., 1993). This scale asked drivers to report the likelihood that they would be tempted to engage in a variety of deviant behaviors where no one was harmed. Over the three-year period, young males were more likely be involved in an accident and report engaging in many forms of deviant behaviors. Lawton and associates (1997a) replicated the West et a1. (1993) study and expanded it to incorporate self-reported violations. Their study used a sample of 830 drivers from Reading and Manchester in the United Kingdom. Their 22 regression analysis confirmed the association between social deviance, accidents, and driving violations. They also concluded that driver age was negatively associated with accident likelihood and the tendency to commit violations. Emotions The emotional state of individuals also has been shown to be a salient factor of traffic accidents, but it has not been widely examined with traffic offenders until the 1990’s. Emotions were the focus of a study by Lawton and colleagues (1997b) in which a small sample of questionnaires was distributed on cars parked at shopping areas in Manchester, United Kingdom. The questionnaire first asked drivers to evaluate their engagement in twelve common traffic violations; they were asked to rate four (2 positive and 2 negative) affective items about each of the traffic violations. The last parts of the questionnaire measured personality, demographic characteristics, and driving habits. Using principle component analysis on the self-reported behaviors, three factors were identified. These include fast driving, assertive driving, and hostility directed at other road users. Analysis of variance with the demographic and driving habits revealed that young drivers had more tendencies to violate traffic laws, and because of assertive driving, males were more prone to violate traffic laws than females. Finally, in a regression analysis with the violation scores as dependent variables and affective scores as independent variables, they found that more positive feelings towards violating resulted in an increased tendency to violate. Demographic Factors Numerous studies of traffic violators and non-violators have sought to identify stable independent demographic variables that contribute to law violations or accident risk. Age and gender (i.e. young males) constantly have been correlated with the propensity to violate traffic laws (Jonah, 1986; Elander et al., 1993). However, Reason 23 and others (1990) used demographic variables to make distinctions between deliberate violations of the law and errors of judgment that led to violations. In order to obtain a wide range of ages, 520 drivers in their study were given mail back questionnaires at their cars parked along streets or in parking lots. This questionnaire was designed to elicit demographic information, driving habits, and self-assessments of driving skill, law compliance, and likelihood of making driver errors. In addition, they also were asked the frequency with which they committed 50 different violations categorized as either ‘slips’ caused by misinterpretation, ‘mistakes,’ ‘unintended violations,’ or ‘deliberate violations.’ The factor scores from three distinct conditions identified as deliberate violations, dangerous errors, and silly errors, were used as dependent variables and regressed against the demographics, driving habits, and self assessments factors. Being young, male, driving a high number of annual miles, and believing one was a better driver than others were found to be significant predictors to the commission of deliberate violations. Enabling Influences Enabling influences are generally thought of as factors that help provide the means that lead to deviant behaviors (Gabany et al., 1997). These factors include exposure (the miles driven each year), characteristics of vehicles used, and driving skill. Exposure and Vehicle Characteristics The role of exposure, defined as the annual miles driven and time spent driving, has been shown by some traffic safety researchers to be positively correlated with the propensity for traffic violation and accident involvement. Taken at face value, it is logical to contend that the more one drives, the greater the likelihood that they will receive a traffic citation. As a result, such variables distinguishing traffic law violators from non- violators have been challenged as independent factors. Such criticism has merit, because 24 early studies comparing violators and non-violators ignored exposure as a potential source of bias (Elander et al., 1993). In spite of this, even though most studies today control for exposure, a positive correlation between annual miles driven still has been demonstrated as a distinction between traffic law violators and non-violators (West et al., 1993; Kanellaidis et al., 1995; Lawton et al., 1997a). A second factor that has received limited attention by traffic safety researchers has been the role of vehicle characteristics as enabling influences leading to traffic law violations. In most studies in which such information has been incorporated, very little significance has been demonstrated (Kanellaidis et al., 1995). However, in some cases, vehicle characteristics, such as engine size, have been found to be mildly associated with the propensity for traffic accidents (Rothengatter, 1988). Skill Level Skill also has been identified as differentiating those involved in traffic accidents fi'om those who are not, although the association related to operating automobiles is primarily limited to hazard perceptions and visual skills (Elander et al., 1993). Skill level is different when it comes to differentiating those hunters apprehended for violating game laws from legal hunters. Such was the case in a study reported by Shafer and others in 1972. In their study, a mail questionnaire was sent to 1,200 New York deer hunters, half of whom had been convicted of a deer law violation in the past five years, while the other half had no violations recorded. The results indicated that violators were more successful at harvesting deer and presumably more skillful than non- violators. Other distinctions noted were that violators had more contact with conservation law enforcement officers during their years of hunting and felt that it was appropriate to illegally harvest deer if it was for food. Two similarities between violators and non- violators also were found in their study. These included similar attitudes toward hunting laws and regulations as well as investments in hunting equipment. 25 Similar distinctions regarding skill were noted by Jackson and his colleagues (1979) in a comprehensive study of waterfowl violators in Wisconsin. Through concealed field observations, they identified and quantified game law violations and conducted field interviews with waterfowl hunters. An additional post-season at home interview was conducted with those who agreed, to collect data on demographics, behavior scales, and open-ended questions. Several distinctions were made in their comparison of violators and non-violators. Demographic information revealed that violators were younger and had hunted fewer years than non-violators. In addition to better seasonal and daily successes, violators had more opportunities to shoot at game and tended to shoot more times when given the chance. Violators also were considered more dedicated to their sport, practicing more at skeet ranges, using duck calls, and reading technical information about waterfowl hunting. Moreover, violators were considered locals of the areas where they violated and knew the areas well. These same general conclusions and distinctions also were made in an extensive study carried out by Gray and Kaminski (1994) in 1990 in which they compared waterfowl violators and non-violators from twelve different states comprising the Mississippi F lyway. They also noted that violators hunted more frequently than non-violators. Reinforcing Influences Reinforcing influences are considered to be those factors that provide individuals with an incentive or reward for conducting themselves in a deviant manner (Gabany et al., 1997). Examples of such factors are group associations (including family), lack of law enforcement presence, and others. Jackson (1980) reported in his study of waterfowl violators about developmental influences on hunter behaviors and characteristics. Results indicate that violations tended to occur more fiequently with the presence of one or more hunting companions. This suggests that hunters’ associations may in some way 26 encourage violations. He also found that hunters graduating from hunter safety courses were no more likely to comply with wildlife laws than those not taking such courses. Illegally taking fish and wildlife also has been examined by sociologists applying more dynamic approaches to explain these types of violators. Such investigations have turned to the broader area of folk crimes to characterize fish and game violators. Typically such research relies upon anecdotal interviews of small groups of admitted fish and game law violators and law enforcement officials. One of the earliest such studies was conducted by Wilson (1983) in an investigation of commercial shell fisherman known to violate conservation laws in New England. Through observations and interviews with poachers and state fish and game wardens, she isolated characteristics leading to a pattern of mutual accommodation by violators and enforcement personnel allowing the persistence of this form of deviant behavior. In this case, accommodation for violators “involves not flaunting their violations, exercising self-regulation in time and place of offense, not embarrassing enforcers, and remaining within the bounds of the intent of the law” (Wilson, 1983, p. 128). As for the enforcers, accommodation “is premised on wide discretion in enforcement and involves avoidance of the crime scene and revealing their presence” (Wilson, 1983, p. 128). Wilson’s work help set the stage for similar studies that have detailed other characteristics of fish and game law violators. For example, a cohort of sixteen known marine recreational fisherman who poached in southern California were interviewed by Curcione (1992) over a period from 1987 to 1990. This group ranged from 22 to 56 years olds and all indicated that they were introduced to fishing through a family member at an average age of 10 years old. These same mentors also exposed them to deviant values and situations where fishing laws were regularly violated. Because these violators were characterized as skilled fisherman, they received special amenities (e.g., fiee trips, etc.) fiom boat captains as motivation to fish on their boats. This was because boat captains wanted to increase catch rates to show that they were successful boats, thereby increasing 27 business. Lastly, no one had criminal records, other than a speeding ticket, nor did they perceive any likelihood of being caught. A similar approach with similar findings was used in a study of 36 poachers in rural Louisiana by Forsyth and Marckese (1993). While the prime motive for poaching was for food, they found some indication that it also was a form of pleasure and excitement, offering a way to test their skills in outwitting the wardens. Forsyth and associates (1998) have replicated their previous study of poachers in rural Louisiana and augmented it with interviews of game warders. The motives of poachers was still primarily to provide food for their family, but other reasons included money, excitement, and tradition. Game wardens were more lenient on poachers who hunted for food, and less so on those who poached for money or excitement, especially if it involved a threatened or endangered species. These same motives of poachers as well as others are outlined by Muth and Bowe (1998) in a synthesis of literature on poaching. 28 CHAPTER THREE RELEVANT FACTORS AND HY POTHESES The review of research examining the circumstances of snowmobiling accidents as well as research comparing traffic and fish and game law violators with non-violators has identified a number of salient factors that predispose, enable, and reinforce traffic accident involvement and aberrant behaviors. Accordingly, these factors are used here to conceptualize relevant distinctions between 1996-97 convicted snowmobile law violators and other snowmobilers. Based upon the review of literature, an explanation of the potential distinguishing factors and rationale for their inclusion are furnished. A hypothesis statement describing the relationship of each factor between 1996-97 convicted snowmobile law violators and other snowmobilers follows. Predimsing Factors Age Consistently, evidence fiom previous snowmobile and traffic safety and fish and wildlife research has indicated that 16 to 25 year olds are more likely to commit law violations and be involved in traffic and snowmobile accidents (e.g., Dewar, 1973; Jackson et al., 1979; Anderson, 1987; James et al., 1991; Elander et al., 1993). However, while youthfirl age generally has been found to be highly correlated with such events, many researchers believe that it is not age itself that is the cause, but some combination of this age group’s tendency to engage in risky behaviors and/or their lack of experience and skills (Wallach & Kogan, 1961; Jonah, 1986). Nevertheless, it is hypothesized that: (1) 1996-97 convicted snowmobile law violators are younger than other snowmobilers. 29 Perceptions of the Dangers of Risky Beh_aviors and Situa_ti_on_s Past studies of traffic law violators and injured snowmobilers have shown that they have an inadequate perception about risky behaviors and situations. For example, Waller and Larnbom (1975) found that injured snowmobilers were twice as likely to report that they had been ‘drinking heavily’ prior to the accident and that they had a greater tendency to operate their snowmobile at higher speeds than uninjured snowmobilers. These were the same factors that Rowe and associates (1993) found in their study of injured snowmobilers. Likewise, traffic researchers have generally concluded that young drivers who have been convicted of a traffic violation and/or been involved in accidents (Mortimer, 1988; McMillen et al., 1992) perceive deviant driving behaviors (speeding, drinking and driving, not wearing helmets, etc.) as less serious, or they lack experience in judging the seriousness of such behaviors, than other drivers (Jonah et al., 1981). Moreover, there is also an assertion by some researchers that individuals will purposefully underestimate the risk of certain behaviors, such as speeding, in order to exonerate risky behaviors (Douglas & Wildavsky, 1982). As a result of these findings, it is hypothesized that: (2) 1 996-97 convicted snowmobile law violators will consider behaviors and situations related to alcohol use, speeding, skill of operators, operating on roadways, other vehicles on seasonal roads, other non-motorized trail users, and trail conditions and design as less dangerous than other snowmobilers. Attitudes Towards Management and ng Enforcement Opposing attitudes toward management, law enforcement, and statutes regulating behaviors also have been found to correlate with those convicted of violating wildlife laws (Stoll, 1975; Melynk, 1977; Andersen, 1987) and traffic laws (Mayer & Treat, 1977; Donovan et al., 1983; Kanellaidis et al., 1995). In addition, several researchers have found that those citizens who have had contact with police and/or received a citation generally have a more unfavorable attitude toward police officers than those who have not had contact (Cox & White, 1988). As a result, it is hypothesized that: 30 (3) 1 996-97 convicted snowmobile law violators will likely be less supportive of fatality reduction initiatives that pertain to establishing speed limits, licensing snowmobile operators, requiring personal liability insurance, and more intensive enforcement of existing snowmobile laws than other snowmobilers. Enabling Factors Expgsure and Active Participation Presumably, the more one engages in an activity, such as snowmobiling, the greater the likelihood events like an accident or citation will occur. Researchers refer to this as exposure and generally define it in terms of annual miles driven or time spent engaging in an activity. The role of exposure has been examined extensively by traffic safety researchers and most believe that greater exposure leads to greater risk of being involved in a traffic accident or being cited for violating a traffic law (West et al., 1993; Kanellaidis et al., 1995; Lawton et al., 1997a). However, a few researchers have reported a negatively accelerating curve in the association of total annual miles driven with increases in accident and citation risk (see Elander et al., 1993). This is due to the assertion that as one travels more, they gain more experience and likely adopt safe driving habits (Elander et al., 1993). In addition, they also spend more time on limited access highways which are safer. Studies of snowmobilers injured as the result of an accident indicate that they had ridden more miles and spent more time snowmobiling than uninjured snowmobilers (Waller & Larnborn, 1975; Rowe et al., 1993). Likewise, Gray and Karninski’s (1994) comparative study between hunters who violated wildlife laws and non-violators found that violators hunted more frequently than non-violators. As a result of these conclusions, it is hypothesized that: (4) I996-97 convicted snowmobile law violators will have more snowmobiling days than other snowmobilers. (5) 1996-97 convicted snowmobile law violators will have ridden more miles than other snowmobilers. 31 Performance Capabilities of Snowmobiles Previous research regarding snowmobile and traffic accidents has found limited support for the assertion that the greater a vehicle’s power, the more likely it is to be involved in an accident. However, there are conflicting conclusions about this relationship. For instance, Waller and Larnbom (1975) found that higher horsepower (HP) snowmobiles (30 HP or more) differentiated injured and non-injured snowmobilers, while Rowe and associates (1993) concluded that the use of high performance snowmobiles (greater than 500 cc) appeared not to adversely influence accident proneness. Incorporating automobile engine size as an enabling influence leading to an increase in traffic law violations or accidents also has limited support (Rothengatter, 1988). In addition, research associating motorcycle engine size with accident or citation risk has found conflicting conclusions. For instance, Jonah and associates (1981) found that engine size was statistically significant with those motorcyclists involved in an accident, but not with those who received a citation. The opposite conclusion was reached in another study of motorcyclists by Jonah and colleagues (1982). In both studies, engine size did not add much in the way of explanation to models distinguishing violation involvement. Nevertheless, it is hypothesized that: (6) 1996—97 convicted snowmobile law violators will have a higher than average engine size (cc) than other snowmobilers. Reinforcing Factors Family Based Activig The developmental influences of hunter behaviors also have been the subject of studies of hunters and fishermen who have violated game and fish laws. As a result of this work, researchers have found that violators were both introduced to the activity and exposed to deviant values and situations by family members (Curcione, 1992; Forsyth & Marckese, 1993). As a result, it is hypothesized that: 32 (7) The proportion of household members who snowmobiled in 1996-97 will be will be greater for convicted snowmobile law violators than other snowmobilers. Investment in Snowmobiling In Jackson and colleagues (1979, p. 316) comprehensive study of waterfowl violators, they concluded that violators were “deeply involved and dedicated to hunting.” Violators were found to practice more at skeet ranges, use duck calls, and read technical information about waterfowl hunting than non-violators. However, Shafer and his colleagues (1972) found that violators and non-violators were similar in their investments in hunting equipment. Nevertheless, it is hypothesized that: (8) 1996-97 convicted snowmobile law violators will have more snowmobiles than other snowmobilers. (9) I996-97 convicted snowmobile law violators will have newer snowmobiles than other snowmobilers. (10) 1996-97 convicted snowmobile law violators will have spent more on snowmobiling equipment than other snowmobilers. Lack of Concern for Safeg Education Jackson (1980) further reported in his study of waterfowl violators that those hunters who graduated from a hunter safety course were not any more likely to comply with wildlife laws than those who did not take such a course. Nevertheless, it is hypothesized that: (I 1) 1996-97 convicted snowmobile law violators will have been less likely to have had someone in the household complete a snowmobiling safety class than other snowmobilers. Smnmagy of Hypothesized Distingpishing Variables A summary of the scale and data type of the hypothesized predisposing, enabling, and reinforcing variables potentially differentiating 1996-97 convicted snowmobile law violators and other snowmobilers is displayed in Tables 1 and 2. 33 Table 1. Scale and data type of potential predisposing variables differentiating 1996-97 convicted snowmobile law violators and other snowmobilers. Data Predisposing Variables Scale Type Respondents age 14-81 Ratio Dangerous behavior or situation rating ' Operation of snowmobiles by intoxicated persons 1-5 Ordinal Drivers lacking skill in operating their machines 1—5 Ordinal Cars or trucks on seasonal roads 1-5 Ordinal Other uses of snowmobile trails (e.g. X-C skiing) 1-5 Ordinal Speed of snowmobiles 1-5 Ordinal Operation of snowmobiles by persons who have been 1_5 Or din al drinking, but are not intoxicated Public trail conditions 1-5 Ordinal Public trail design 1-5 Ordinal Snowmobiling on county or state roads 1-5 Ordinal Fatalig reduction initiatives rating b Mandatory training for all first year snowmobilers regardless 1_5 Or dinal ofage Mandatory personal insurance for all snowmobilers 1-5 Ordinal More intensive enforcement of existing snowmobile - regulations 1-5 Ordinal Licensing required for all snowmobilers 1-5 Ordinal Enforcement of a snowmobile speed limit on public lands, 1_5 Or din al trails, and waters a. Rating scale: 5= extremely dangerous, 4= highly dangerous, 3= moderately dangerous, 2= slightly dangerous, 1= not dangerous. b. Rating scale: 5= strongly supports, 4= moderately supports, 3= neutral, 2= moderately oppose, l= strongly oppose. 34 Table 2. Scale and data type of potential enabling and reinforcing variables differentiating 1996-97 convicted snowmobile law violators and other snowmobilers. Factor Variables Scale Data Type Enabling Average number of estimated snowmobiling days per household snowmobile ’ 1'1 15 Interval Average number of estimated miles ridden per household 10-5,333 Interval snowmobile ’ Average engine size (cc) of household snowmobiles ’ 90—1,100 Ratio Reinforcing Proportion of the household 12 years and older who snowmobiles during the winter of 1996-97 0-17'1-00 Interval Total nmnber of snowmobiles owned by the household 1-6 Interval Average age of the of household snowmobiles 1965-1997 Ratio Total household expenditures for snowmobiling equipment, . maintenance, insurance, and storage 0’126’550 Rat“) Proportion of the household 12 years and older with a snowmobile safety class 0-13'1 '00 Interval a. Averaged based on those snowmobiles used in Nfichigan during the 1996-9'7 wrnter. 35 CHAPTER FOUR METHODS AND PROCEDURES The data used to accomplish the goal of this study to identify salient variables discriminating convicted snowmobile safety law violators from other snowmobilers was complied in two separate projects. First, data on other snowmobilers used in this study were compiled in a winter 1996-97 statewide assessment of those who purchased a Michigan Snowmobile Trail Permit (Nelson et al., 1998). A Snowmobile Trail Permit is required to operate any snowmobile in Michigan on public lands (including road right-of- ways) and flown waters of the state except for the sole purpose of ice fishing. This study’s purpose was to examine resident and non-resident snowmobiling activity, household spending, opinions about management, support of policy initiatives, perceptions of dangerous situations, and factors contributing to snowmobile accidents. The 1996-97 convicted snowmobile violator data were compiled using the same instrument as the study of trail permit purchasers from a census of violators cited by Michigan DNR-LED during winter 1996-97 and convicted of violating safety regulations (Lynch & Nelson, 1998b). The purpose of this violator study was to better understand those who engage in risky snowmobiling behaviors by comparing them to other trail permit purchasers. Of the trail permit purchasers fiom the initial sample, those few who had been convicted of a 1996-97 snowmobile safety violation were eliminated. Both these studies were administered by the Department of Park, Recreation, and Tourism Resources at Michigan State University with funding from the DNR Forest Management Division (F MD) and Law Enforcement Division (LED), with additional support from the Michigan Agricultural Experiment Station. 36 The research reported here uses this information to distinguish underlying factors that potentially influence aberrant snowmobiler behavior by 1996-97 convicted snowmobile law violators. This will be accomplished through a comparison of 1996-97 convicted snowmobile law violators and other snowmobilers on a number of elements based on the aforementioned hypotheses. Subjects and Sampling Protocol 1996-97 Convicted Snowmobile Law Violators Convicted snowmobile law violators are defined as those individuals who were cited by Michigan DNR Conservation Officers during the winter of 1996-97 and convicted of violating operation and safety regulations as outlined by the Michigan Snowmobile Law P.A. 74 of 1968 as amended. These citations are kept on file at the DNR-LED in Lansing, Michigan. Copies of all 997 citations on file as of May 1, 1997 were procured by the researchers from Michigan State University and used in this study. The name, address, age, type of offense, number of offenses and warnings, and county where the citation was issued were entered into Microsoft’s Excel spreadsheet program. Seven individuals received more than one citation during the winter of 1996—97 and thus duplicate names were removed fi'om the database. Additionally, the names of seven other 1996-97 convicted snowmobile law violators were removed because they had been selected in the sample of other snowmobilers. As a result, there were 983 individuals in the 1996-97 convicted snowmobile law violator group. It is important to note that while the convicted snowmobile law violators included in this study are assumed to be representative of 1996-97 convicted Michigan snowmobile law violators, this can not be proven. Rather, they are those who were caught by DNR Conservation Officers and received a citation. County Sheriffs and Michigan State Police also issued an unknown number of citations to snowmobilers violating 37 snowmobile laws during the winter 1996-97. Statewide data on their activities were unavailable at the time of the study, although following winter 1999-2000 such records are likely to be available fi'om DNR-LED. At the time of the study, such citations were reportedly kept on file in each of the 83 counties or with the Michigan State Police. Hence, individuals who were cited by either County Sheriffs or Michigan State Police, but not Conservation Officers, were excluded from this study because it was impractical to acquire these citations. Moreover, no attempt was made to ask respondents about whether or not they had received a citation for any other offense this past winter or any other time. While such information may have proven useful, it was deemed too sensitive to request by the Michigan DNR-LED, the contracting agency. Other Snowmobilers Other snowmobilers are defined as those individuals who purchased a Michigan Snowmobile Trail Permit between October 1, 1995 and September 30, 1996 and snowmobiled during winter 1996-97 and were not cited by the DNR-LED for a snowmobile safety violation during that winter. A trail permit is required for a snowmobile to operate on public lands, waters, and roadway shoulders where permitted. In fiscal year 1995-96, approximately 212,000 permits were sold by a host of agents, including the Michigan Snowmobile Association; various local snowmobiling clubs in Michigan; license agents such as sporting goods stores, snowmobile retailers, or chain stores (such as Meijers, K-Mart, etc.); the Michigan Secretary of State; and the DNR. The record of the sale, including the name, address, and telephone number of the permit holder is maintained by the FMD of the DNR. While it appears that some permit records held by the issuing agent were not returned to the F MD during the fiscal year 1995-96, the vast majority were. These records served as the sampling frame for this study since complete permit records for the winter 1996-97 were not available at the time of the study. 38 A sample of 3,325 snowmobilers was systematically selected by taking every 30th legible name with complete address from a random starting point. Sampling procedures were employed to ensure that commercial businesses (e.g., snowmobile rental establishments) and duplicate names were not selected in the sample. Additionally, procedures ensured that those who had purchased multiple permits were no more likely than those purchasing a single permit to be selected. This provided data with a margin of sampling error of :l: 1% at the 95% confidence interval. The names, addresses, and phone numbers were then entered into Microsoft’s Excel spreadsheet program. The rationale for choosing trail permit purchasers versus snowmobile registrants as the sampling flame is threefold. First, Michigan registrants do not include the vast majority of non-residents who snowmobile in Michigan. It was estimated that about a third of the snowmobilers in Michigan are non-residents. Secondly, registrations may or may not include snowmobiles that are operated, or are intended to be operated, on public lands. Conversely, a trail permit is required to operate on public lands and specific trails for which public land managers are responsible. Lastly, if registrants were used, then a sample of registrations from many surrounding states would need to be generated to capture the range of non-residents who snowmobile in Michigan. This would be complicated since the proportions of non-residents from each state snowmobiling in Michigan was unknown. While these other snowmobilers are characterized as non-violators, as they were not cited by DNR-LED Officers in the winter 1996-97, they can not be regarded as never having violated snowmobile laws or having been cited during another year. Like the 1996-97 convicted snowmobile law violator group, no attempt was made to ask respondents about whether or not they had received a citation for any other offense this past winter or any other time. While such information may have proven useful, it was deemed too sensitive to request by the Michigan DNR-LED, the contracting agency. 39 Data Collection Method Technique In choosing the most appropriate method to elicit the necessary data, several constraints were taken into consideration. First, since this was a comprehensive assessment, nine broad objectives were outlined for this project. To ensure the objectives were met, it was necessary to employ lengthy and somewhat complicated items to rate the array of programs and potential options as well as enumerate details about snowmobiles, activities, and spending habits. Moreover, some of the questions were personal in nature and required a level of detail involving considerable thought by the respondents. Secondly, the magnitude of Michigan’s snowmobiling population is substantial and encompasses residents as well as non-residents from a number of states and provinces. Of the 212,000 trail permits sold during 1995-96, an estimated 79,000 were sold to non- residents (Nelson et al., 1998). Lastly, financial and personnel resources to conduct this study were limited. As a result of these constraints, it was decided that a self-administered mail questionnaire was the most appropriate means to collect the desired data. Mail questionnaires have been used successfully in a number of studies comparing violators and non-violators (Shafer, 1972; Kessel, 1974; Andersen, 1987; West et al., 1993; Gray & Kaminski, 1994). A mail questionnaire also has many advantages (Mangione, 1995). For example, it allows a researcher to contact a larger sample over a wide geographic area relatively inexpensively. Larger samples make it possible to make more precise statements about the group. Moreover, mail questionnaires give respondents time to answer the questions in private and at their own convenience. They also allow an individual an opportunity to collect information about questions that may not be readily available. 40 Against these advantages, there is a serious limitation of self-administered mail questionnaires that needs to be noted. As Mangione (1995, p. 60) points out, “non- response error is the single biggest impediment to any survey study, but it is particularly a risk for mail surveys.” As a result, a phone survey of a sub-sample of non-respondents with a shortened questionnaire was used with both groups to determine the effects of non- response bias. Questionnaire Desigp and Administration Questionnaire Desigr Questionnaire design can affect the quality of the data as well as the quantity of responses (Babbie, 1995). As a result, special attention was given to devising a simple and concise questionnaire that effectively achieved all study objectives. The questionnaire initially drafted by the researchers was revised during two rounds of reviews by DNR staff from LED and FMD. It was also reviewed and approved by the Michigan State University Committee on Research Involving Human Subjects. The result was a four-page questionnaire comprised of 31 questions measuring 124 items (Appendix A). About equal numbers of open-ended and closed-ended questions were employed. The vast majority of open-ended questions asked respondents to enumerate specifics about their household, snowmobiles, snowmobile activity, and household spending on snowmobiling. To simplify questions for ease of answering, a table format was used as much as possible. Four-other open-ended questions provided an opportunity for respondents to list other details or ideas not covered in previous questions. This was done to ensure an adequate range of ideas was captured. Closed- ended questions varied from checking “yes” or “no” to rating some aspect on a Likert scale (e.g., l= strongly oppose through 5= strongly support). Here again, tables were used to reduce the length of the questionnaire as well as to facilitate responses. 41 The questionnaire was divided into six sections: information about households and their snowmobiles, snowmobile activity, spending related to snowmobiling, opinions about snowmobile management, support of selected policy initiatives, and information about snowmobile safety and risk. Additionally, explicit directions with examples and definitions were provided to fully detail the nature of the information requested. Finally, the questionnaire was printed in green ink against a white background on 11x 17 inch paper that was folded in half. No pretest of the questionnaire was conducted due to time constraints. The quality and content of the cover letters accompanying the questionnaire can also influence response (Mangione, 1995). Separate cover letters were composed for other snowmobilers (Appendix B) and 1996-97 convicted snowmobile law violators (Appendix C). While this study was conducted in cooperation with the DNR, the cover letters were written on a Michigan State University Department of Park, Recreation, and Tourism Resources letterhead to ensure impartial responses, especially to questions asking respondents to rate DNR management. The purpose for conducting the study, as well as the value of the respondent’s reply, was given in the cover letter. Additionally, the letter included the process of how their names were selected, the voluntary nature of their participation, a guarantee of confidentially, uses to be made of the information, time necessary to complete the questionnaire, and the researcher’s contact information. The cover letters in the follow-up survey to non-respondents were slightly modified to highlight the importance of their response and value of their information. The other snowmobiler’s cover letter can be found in Appendix D and the 1996-97 convicted snowmobile law violator’s cover letter is in Appendix E. 42 Qpestionnaire Administration The other snowmobiler’s questionnaire was sent on June 3, 1997, and the questionnaire to 1996-97 convicted snowmobile law violators was sent on June 12, 1997. This initial mailing was sent by first class mail with a postage paid business reply envelope to ensure ease of response (Mangione, 1995). All questionnaires were individually numbered so that respondents could be eliminated from a follow-up of non- respondents. This follow-up mailing was sent by certified mail to other snowmobilers on July 10, 1997, and the follow-up was sent to convicted snowmobile law violators on July 17, 1997. Relying on one subsequent mailing was done because of previous success in obtaining adequate response rates through certified mail and also because substantial effort and cost is required in sending out reminders (Nelson & Lynch, 1994; Nelson & Lynch, 1995). Out of those not responding to the first and second mailing, a random sub- sample of 495 other snowmobilers and 139 convicted snowmobile law violators was selected for the non-respondent telephone follow-up survey. Questionnaire Response Rate 1996-97 Convicted Snowmobile Law Violator’s Remnse Rate Of the 983 snowmobilers cited by DNR Officers and convicted of a safety violation in 1997, 61 (6.2%) had an invalid address (e.g., no forwarding order, forwarding order expired, or no such person at this address) as reported by the United States Postal Service. Of the 922 (93.8%) with valid addresses, 367 (39.8%) returned questionnaires. From these, three questionnaires were excluded because the respondents filled out only a portion of the questionnaire. Furthermore, to certify that the individual who received the citation filled out the questionnaire, the age on the citation was compared to the age on the questionnaire. As a result of this analysis, four respondents were excluded due to significant inconsistencies (greater than 2 years). Consequently, there were 360 (39.0%) convicted snowmobile law violators used in this study. 43 Other Snowmobiler’s Response Rate Of the 3,325 trail permit purchasers sampled, 173 (5.2%) had invalid address (e.g., no forwarding order, forwarding order expired, or no such person at this address) as reported by the United States Postal Service. Of the 3,152 valid addresses, 1,535 (48.7%) returned questionnaires. Of those returning questionnaires, 27 (1.8%) reported they had sold their snowmobiles and were no longer snowmobiling. The remaining 1,508 (98.2%) were still involved in snowmobiling. However, in order to make meaningful comparisons between other snowmobilers and1996-97 convicted snowmobile law violators, only those individuals who snowmobiled in Michigan during the winter of 1996-97 were included in this study. Of the 1,508 respondents, 1,348 (89.4%) fit this definition. Survey of Non-Remnants With any self-administered mail questionnaire, the data gathered can be subject to bias as a result of differences between those who do and those who do not respond (Mangione, 1995). There are widely differing opinions about what constitutes an adequate response rate for a self-administered mail questionnaire (Tull & Hawkins, 1993). For instance Babbie (1995) contends that 50% is adequate for analysis, while Brown and associates (1989) assert that 70% is a feasible target and thus a reasonable response rate. In spite of these conflicting differences, response rates are often a function of factors such as the complexity of the questionnaire, respondents’ interest in the subject matter, or type of population being sampled (Crompton & Tian—Cole, 1999). These factors may help explain the response rates attained for 1996-97 convicted snowmobile law violators and the other snowmobiler group. The 1996-97 convicted snowmobile law violators response rate of nearly 40% is more subject to non-response bias. Nevertheless, this response rate is comparable to that of other studies of violators in which a self-administered mail questionnaires were used to collect data. For example, Shafer and associates (1972) and Andersen (1987) had response rates of 28% and 39.3% respectively. Regardless, as with the other snowmobiler survey, a follow-up survey of non-respondents is considered desirable to assess bias associated with non-response. The other snowmobiler response rate of nearly 49% is considered adequate given the late spring timing of the mailing and the intricacy of the questionnaire. This response rate falls in the middle of other snowmobile studies in which a self-administered mail questionnaire was used (MN -DNR, 1970; Lanier, 1974; WA-SPRC, 1988; Robertson, 1996). Nevertheless, non-response biases may be evident and thus a survey of non- respondents is warranted. Administratipn of an-Resppndent Survey A telephone survey, using a shortened version of the mail questionnaire (Appendix F) with a sub-sample of non-respondents from both groups, was used to gather data to determine non-response bias. Since phone numbers are not included on citations, 1996-97 convicted snowmobile law violator telephone number were obtained fiom PhoneDisc, a CD-ROM database of telephone directories for midwest states, located at the Michigan State University Library. Of the 555 (60.2%) 1996-97 convicted snowmobile law violators who did not return a questionnaire, 85 (15.3%) were selected for the follow-up study. However, of the 85 names, only 55 (64.7%) had listed phone numbers that corresponded with the address. Calls to 1996-97 convicted snowmobile law violators were made during October and November 1997. Phone numbers for the other snowmobilers were included as part of the trail permit information. Of the 1,617 (51.3%) non-respondents for the other snowmobilers group, 166 (10.3%) were selected for the follow-up study. Calls to this group were made during September and October 1997. 45 Data Analysis The Statistical Package for the Social Sciences (SPSS) version 8.0 was used to analyze the data. First, basic descriptive statistics are used to characterize the 1996-97 convicted snowmobile law violators and other snowmobiler groups. Logistic regression analysis was then used to identify key variables differentiating 1996-97 convicted snowmobile law violators from other snowmobilers and predicting respondent group membership. Descriptive Analysis The data used in this research were compiled for a multi-objective study of Michigan snowmobiling during winter 1996-97. One of the principal aims of this study was to better understand those snowmobilers who engage in illegal and risky snowmobiling behaviors. To recap, two distinct groups of snowmobilers were operationally defined for comparison. The first group, labeled 1996-97 convicted snowmobile law violators, consisted of all snowmobilers who were cited by Michigan DNR Conservation Officers during the winter season of 1996-97 and convicted of violating operation or safety regulations. Conversely, snowmobilers who purchased a Michigan Snowmobile Trail Permit between October 1, 1995 and September 30, 1996 and were not cited by Michigan DNR Conservation Officers for a snowmobile safety violation during the winter 1996-97 were defined as other snowmobilers. While both 1996-97 convicted snowmobile law violators and other snowmobilers are part of a larger population of winter 1996-97 Michigan snowmobilers, they are considered as mutually exclusive groups since sampling procedures insured that no snowmobiler was included in both groups. Given this distinction and the objective of the research to identify differences between the 1996-97 convicted snowmobile law violators and other snowmobilers, the groups are deemed to be independent samples so that tests of significance are used to accomplish the research objectives. 46 The statistical tests used to analyze differences between 1996-97 convicted snowmobile law violators and other snowmobilers included the two sample t-test of means for the interval or ratio data and the Mann—Whitney U test for ordinal data and the chi-square for nominal data were also used. A significance level of 0.05 was used to established differences between the groups for these statistical tests. This significance level was chosen because it is not considered exceedingly stringent or lax, thereby allowing general differences between the two groups to be identified. In addition to these tests, bivariate correlation matrices were used to assess independence of the explanatory independent variables. The Speannan’s rho (r,) was used as a measure of independence for ordinal variables since they bear a close resemblance to continuous interval or ratio data, in this research (Healey, 1993). For interval or ratio data the Pearson’s r statistic was used to measure the independence of the explanatory independent variables. Those variables with r of $0.40 were deemed to be independent. Where r > 0.40 only one of the variables was included in the analysis. Logistic Reggession Analysis A variety of statistical analyses and methods have been used to identify key variables discriminating various types of folk crimes (Gabor, 1986). Traffic safety research methodology has typically relied upon linear-based ordinary least squares (OLS) models of regression and discriminant analysis. While these statistical techniques have been used successfully, there are a number of constraints associated with them that limit their usefirlness. For example, linear regression models require the dependent variable to be continuous, unbounded, and measured on an interval or ratio scale (Menard, 1995). Moreover, linear regression is extremely vulnerable to violations of OLS model assumptions (Demaris, 1992; Menard, 1995). Discriminant analysis, on the other hand, allows the use of dichotomous dependent variables and has fewer assumptions than linear regression analysis. However, the researcher is faced with using only interval, ratio, or 47 dichotomous independent variables in the analysis. Furthermore, discriminant analysis is intolerant of violations of multivariate normality and similar covariance matrices (Press & Wilson, 1978). Since the 1980’s however, new statistical techniques have been devised to analyze categorical data, especially dichotomous dependent variables (Demaris, 1992; Kleinbaum, 1994). The value of such techniques is that they require fewer assumptions than do regression and discriminant analysis, making them more statistically robust (Press & Wilson, 1978; Demaris, 1992; Menard, 1995). One such statistical technique is the probit analysis. This technique is more appropriate for designed experiments, since its firnction is to measure the relationship between the strength of a given stimulus and the proportion of cases manifesting a certain response to the stimulus (Norusis, 1997). Closely related to probit analysis, are a couple of statistical techniques based upon the logit model and logistic firnction. Two such techniques include loglinear regression analysis and logistic regression analysis. In situations where the independent variables are categorical, the loglinear regression analysis is best (Gabor, 1986). On the other hand, where there is a mixture of numerical and categorical independent variables, logistic regression analysis (LRA) is particularly appropriate (Demaris, 1992). The logistic regression analysis, like discriminant analysis, is designed to find the best fitting and most parsimonious model to describe the relationship between a dichotomous dependent variable and a set of independent variables. It is also used in classifying individuals into group associations (Press & Wilson, 1978). As a result of these attributes, LRA is beginning to be used in distinguishing wildlife (Gray & Kaminski, 1994) and traffic law (Cooper, 1997; Meadows et al., 1998) violators from non-violators. Thus it is adopted here as the preferred method of statistical analysis. 48 Mathematically, the logistic regression model is formulated from the logistic function (Kleinbaum, 1994). The product derived from this function yields estimates restricted between 0 and 1, thereby allowing a dichotomous dependent variable to be formulated as a probability function. To use this probability in regression, it must first be re-conceptualized as an odds ratio to contend with the possibility that the observed values of the probability will be less then 0 or greater then 1 (Menard, 1995). As a result of this conversion, the dependent variable in this context is expressed as the odds or ratio of the probability that a given snowmobiler will be a violator (Y = 1) versus the probability that they will be a other snowmobiler (Y = 0), given a set of independent variables. This can be rewritten as: Odds(Y = 1) = P(Y = 1) / [1 - P(Y = 1)] where (P) is the probability (Menard, 1995). Furthermore, transforming P(Y =1) / [1 - P(Y =1)] with the natural logarithm, called Logit(Y), produces a value that in theory ranges fi'om +/— infinity, thus allowing the dependent variable to be interpreted as a linear model (Menard, 1995). This in turn produces the logistic regression equation of Logit(Y) = or + [3,X, + 02X, + kak. In logistic regression, the maximum likelihood method is used to have the greatest probability of getting the observed results. The overall significance statistics in logistic regression assess how well the model fits, the importance of the independent variables, and the proportion of the cases classified correctly. Typically, a 0.50 split is used to classify cases. Modeling Strategy There are two basic goals of this research. The first is to identify those predisposing, enabling, and reinforcing variables that best differentiate 1996-97 convicted snowmobile law violators and other snowmobilers and secondly to examine the model’s ability to discriminate between 1996-97 convicted snowmobile law violators and other 49 snowmobilers. In order to accomplish these goals, a properly devised modeling strategy is imperative. Hosmer and Lemeshow (1989) outline such a strategy for selecting variables in LRA. This basic modeling strategy is adopted here to accomplish the research goals. Characterizing 1996-97 Convicted Snowmobile Law Violators and Other Snowmobilers Developing a parsimonious predictive logistic regression model begins with a properly defined procedure for selecting independent variables (Hosmer & Lemeshow, 1989; Kleinbaum, 1994). The goal of this process is to eliminate irrelevant variables and minimize their numbers to only those that measurably add to the best fitted model. This is done to avoid biases and numerically unstable estimates (Gabor, 1986; Hosmer & Lemeshow, 1989; Menard, 1995). Consequently, Hosmer and Lemeshow (1989) suggest a thorough univariate analysis be conducted using contingency tables between the dependent variable and each of the independent variables. The likelihood ratio chi-square (LR-x2) test with k - 1 degrees of freedom was used to test the association between the dependent variable and independent ordinal and interval/ratio variables with less than or equal to five integers. This test statistic was chosen because the likelihood ratio chi- square is “exactly equal to the value of the likelihood ratio test for the significance of coefficients for k - 1 variables in a univariate logistic regression model” (Hosmer & Lemeshow, 1989, p. 83). To test for significance with interval or ratio variables with more than five integers, a univariate logistic regression model was used to obtain the likelihood ratio test (LR). Those explanatory independent variables with a significance level of $0.25 were included in the multivariate logistic regression model. Mickey and Greenland (1989) have shown that a significance level of $0.05 often fails to identify relevant independent variables. 50 The logistic regression analysis was then applied with all cases and relevant independent variables identified in the univariate analysis to ascertain which variables best differentiated 1996-97 convicted snowmobile law violators from other snowmobilers. Considering that there were a number of potential variables identified in chapter three and the theory behind comparative research between 1996-97 convicted snowmobile law violators and non-violators is limited, this analysis used a backwards likelihood-ratio stepwise variable selection approach with a 0.15 criterion entry level of significance (Hosmer & Lemeshow, 1989). The backwards elimination method helps lessen the risk of excluding independent variables that may have a statistically significant effect in predicting the dependent variable only when another variable is included in the model (Menard, 1995, p. 55). In such circumstances, both variables are already generally in the model. The likelihood-ratio test (LR) involves “estimating the model with each variable eliminated in turn and looking at the change in the likelihood-ratio when each variable is eliminated” (Norusis, 1997, p. 53). The choice of setting the statistically significance criterion for entry at 0.15 is to “prevent the failure to find a relationship when one exists” (Menard, 1995, p. 55). Due to similar results between the likelihood-ratio test (LR) and Wald statistic (Wzk), the latter was used to evaluate the significance of the individual independent variables to the prediction of the dependent variable. Considering that the aim of this research is to develop a parsimonious predictive logistic regression model, any independent variables not contributing to the model were eliminated and a new LR model calculated using the single block entry approach. The single block approach enters all independent variables concurrently in the order in which they emerged in the backwards stepwise logistic regression model. This second step is conducted to verify the significance of each of the independent variables included in the original model. This is done by comparing the regression coefficients and the Wald 51 statistics of the individual independent variables (Hosmer & Lemeshow, 1989). In cases where the change in coefficients, Wald statistics, and significance level of the independent variable were noticeably different, a comparison of the logistic regression model with and without the independent variable(s) in question was conducted in order to determine if their inclusion is statistically significant. The adequacy of the overall model will be assessed with the model chi-square (Model X2). This provides a test for the null hypothesis when all the coefficients in the regression equation take on a value of zero (Menard, 1995). A 0.05 level of significance is used to test the model’s adequacy. In addition, the proportional reduction in the model chi-square (R2,) will be used to evaluate “how much the inclusion of the independent variables in the model reduce the badness-of-fit of the model chi-square statistic” (Menard, 1995, p. 22). Where R2L is 0, the independent variables are useless in predicting the dependent variable and where it is 1, the independent variables perfectly predicts the dependent variable. Provided there is theoretical relevancy, the interaction between two independent variables can also be incorporated in logistic regression analysis (Demaris, 1992; Menard, 1995). This cross-product term, which is calculated within SPSS, is computed by multiplying the two independent variables together (Norusis, 1997). The term is then added to the logistic regression model and new parameters computed. The change in the model chi-square and proportional reduction in the model chi-square fi'om the original LR model to the new LR model, as well as the significance of the variable, will be used to assess the interaction effects of the cross-product term (Menard, 1995). 52 Logistic Reggession Diagpostics Violations of the assumptions of logistic regression analysis can potentially produce biased coefficients, ineffective estimations of the coefficients, or invalid statistical inferences (Menard, 1995). As a general rule, tests for nonlinearity in the logit, collinearity between independent variables, and the evaluation of residuals should be conducted to identify any of these issues (Hosmer & Lemeshow, 1989; Menard, 1995). Nonlinearig in the Lo git One of the assumptions of logistic regression is that there is a linear relationship between the natural logarithm of the dependent variable [logit(Y)] and the interval or ratio data independent variables (X) (Hosmer & Lemeshow, 1989). That is, “if the change in logit(Y) for a one-unit change in X is constant and does not depend on the value of X, we say the logistic regression model has a linear form, or that the relationship is linear in the logit, and the change in logit(Y) for a one-unit change in X is equal to the logistic regression coefficient” (Menard, 1995, p. 60). While there are a number of ways to evaluate nonlinearity in the logit, one relatively easily procedure is the Box-Tidwell transformation (Hosmer & Lemeshow, 1989). This transformation adds a “term of the form X[ln(X)] to the model” (Hosmer & Lemeshow, 1989, p. 90). In this case, the term X[ln(X)] will be added to the logistic regression model using the single block entry approach. Where the coefficient of X[ln(X)] is statistically significant (p= $0.05) there is an indication of nonlinearity in the logit (Menard, 1995). Although the Box-Tidwell transformation is simple to conduct, it is not overly sensitive in identifying minor deviations from linearity (Hosmer & Lemeshow, 1989). Nevertheless, it should be included as part of the logistic regression diagnostics. In cases where there is evidence of nonlinearity of a particular independent variable, the values of the variable in question will be grouped into the five categories used in the descriptive analysis comparing 1996- 53 97 convicted snowmobile law violators and other snowmobilers. The model would then be recomputed, testing the reconfigured variable for nonlinearity in the logit. Collineariy The issue of collinearity results from the correlation between independent variables, which in turn can potentially yield biased logistic regression coefficients and a higher RZL. While there is no procedure for assessing collinearity among the independent variables in the logistic regression function of SPSS, it can easily be checked using the tolerance statistic in the linear regression function, since we. are merely interested in the relationship among the variables and not the functional form of the model (Menard, 1995). Tolerance values less than 0.20 are an indication of collinearity (Menard, 1995). Evaluations of Residuals The residual is generally defined as “the difference betWeen the observed probability of the event and the predicted probability of the event based on the model” (Norusis, 1997, p. 57). According to Menard (1995, p. 71), “the principle purpose for which residuals analysis is used in logistic regression is to identify cases for which the model works poorly, or cases that exert more than their share of influence on the estimated parameter of the model.” As a general rule, the analysis of residuals should include a review of the Studentized residual, the leverage statistic, and dbeta (Menard, 1995) The Studentized residual is used to identify cases that may fit the model poorly. Generally, residuals less than -3 and greater than +3 should necessitate an examination of the case. Less of a concern, but still enough to require a review of the case, are residual values less than -2 and greater than +2. The leverage statistic values are used to indicate cases that may be unduly influencing the parameters of the logistic regression model (Hosmer & Lemeshow, 1989; Menard, 1995). These leverage statistic values will fall 54 between zero, meaning no influence, and one, meaning a complete influence of the parameters. Those cases where the leverage statistic values are larger than 0.012 may be potentially influential and thus need to be reviewed. Any case with values of 0.018 or more should be examined closely (Menard, 1995). Lastly, the dbeta values denote changes in the regression coefficients when cases are deleted from the modeling process (Menard, 1995; Norusis, 1997). Dbeta values greater than one indicate that the case should be examined more closely. Without fail, an analysis of residuals will identify problem cases. This is especially relevant in the analysis between the 1996-97 convicted snowmobile law violators and other snowmobilers, since the definition used to determine group membership is definitive, but may not accurately characterize behavior. For example, a 1996-97 convicted snowmobile law violator, while characterized as an offender, may have unwittingly violated the law and would not have done so if they were aware of the rule. Likewise, another snowmobiler may be a willful violator who simply did not get caught and did not receive a citation during the 1996-97 winter. Consequently, the residuals may not necessarily indicate a problem using the legalistic definition of group membership, but may be problematic when considering behavior or motivation for behavior. Thus caution should be used when deciding to delete the case. Model Discrimination To further assess the performance of the model, the predicted and observed group membership of the cases was examined for accuracy in distinguishing classification of 1996-97 convicted snowmobile law violators and other snowmobilers (Norusis, 1997). In cases where there is a large disparity between the sample size of each of the two groups, as is here, the classification procedure is potentially biased since most individuals will be classified in the larger group (Morrison, 1969). Consequently, the smaller sample of the two groups is used to determine the effective sample size for the model to classify 1996- 55 97 convicted snowmobile law violators and other snowmobilers. This provided an equal chance for a given snowmobiler to be classified. A logistic regression analysis was then used with the independent variables from the final model. Model discrimination is evaluated using a classification table. This table indicates the “observed and predicted group membership when cases with a predicted probability of 0.5 or greater are classified” as violators (Norusis, 1997, p. 44). The c statistic is used to measure the significance of this model’s capability in distinguishing between the two groups (Norusis, 1997). According to Norusis (1997, p. 61), “it can be interpreted as the proportion of pairs of cases with different observed outcomes in which the model results in a higher probability for the cases with the event [being a violator] than cases without the event.” The value of the c statistic ranges from 0.5 to 1. Values closer to 1 mean that the model assigns higher probabilities to cases with the event [being a violator] than without (Norusis, 1997). In addition, a histogram of the estimated probabilities of being a violator is used to assess the probabilities of being incorrectly classified. 56 CHAPTER FIVE DESCRIPTIVE RESULTS This chapter includes the response and non-response comparisons as well as the descriptive analysis for other snowmobilers and 1996-97 convicted snowmobile law violators. In addition, bivariate correlation matrices assessing the independence of the explanatory independent variables is also included in this chapter. Remnse and Non-Response Comparison Non-response bias for both the 1996-97 convicted snowmobile law violators and other snowmobilers was assessed by means of a telephone survey using a shortened version of the mail questionnaire (Appendix F). Calls were made to the other snowmobiler group during September and October 1997 and during October and November 1997 for the 1996-97 convicted snowmobile law violator group. While these data were compared with those from the mail questionnaires to identify discrepancies, no statistical tests of significance were performed since responses in both groups were too small for meaningful comparisons. 1996-97 Convicted Snowmobile Law Violator Non-Response Of the 55 1996-97 convicted snowmobile law violator non-respondents selected with phone numbers that corresponded with the address given on the Snowmobile Trail Permit, 8 (14.5%) refused to participate, while 14 (25.5%) responded to the shortened survey. The other 33 (60.0%) non-respondents where not able to be reached on five different occasions at different times of the day because the phone number had been disconnected or was wrong. 57 Of these 14 non-respondents contacted, the average number of household members 12 years and older was higher (3.5 vs. 2.5 people) than those who responded to the mail questionnaire (Table 3). However, the average proportion of the household members who snowmobiled in Michigan during the winter of 1996-97 was 60% compared to 83% for respondents. The percentage of those who were residents of Michigan was similar, at a little over 80%, for both groups. The mean age of non- respondents was 30.1 years old, which is slightly lower than respondents who averaged 34.2 years old. A possible explanation for this difference was that there were proportionally more 26 to 35 year olds and no 55 and older individuals in the non- respondent group compared to the respondent group. Table 3. Household size and snowmobile activity, age, and residency of 1996-97 convicted snowmobile law violator respondents and non-respondents who snowmobiled in Michigan during that winter. Respondents Non-Respondents Household and Respondent Characteristics (N= 360) (N= 14) >‘< 2 Number of household ’ 2.5 3.5 Pr0portion of household who snowmobiled ’ 0.83 0.60 % % Michigan resident 81.9 85.7 Age in years 525 18.8 21.4 26-35 41.9 57.1 36-45 25.6 21.4 46-55 10.7 0.0 255 3.1 0.0 2 = 34.2 (10.0) b 2 = 30.1 (6.5) b a. Includes only rnmviduals 12 years an oldfi. b. Standard deviations in parentheses. 58 The mean number of snowmobiles owned (1.64 vs. 2.14 snowmobiles) and used (1.43 vs. 2.11 snowmobiles) during winter 1996-97 by the household was less for non- respondents than respondents (Table 4). Non-respondents had considerably more powerful engines, averaging 620 cc, than respondents, which averaged 538 cc. Table 4. Selected characteristics of 1996-97 convicted snowmobile law violator respondents and non-respondents household snowmobiles used in Michigan during that winter. Respondents Non-Respondents Household Snowmobile Characteristics (N= 360) (N= 14) >7 >‘< Number of snowmobiles owned 2.14 1.64 Number snowmobiles used 2.11 1.43 Average engine size (cc) ' 537.6 620.1 Average model year ' 1992.4 1993.6 Average estimated annual miles ' 1,061.5 1,465.4 Average estimated annual machine days ‘ 18.2 28.5 a. Averaged based on fliose snowmcfliiles used in Mflfigan duringflie 1996-9'7 wmter. The average age of the machines was also different as non-respondents tended to have newer machines (1994. vs. 1992) than respondents. Both the average estimated annual miles (1,465 vs. 1,062 miles) and number of days (28.5 vs. 18.2 days) each snowmobile was operated was much greater for non-respondents than respondents. Correspondingly, the total number of non-respondent household snowmobiling days was considerably more than respondents, primarily in the Upper Peninsula (Table 5) (Figure 1). 59 Table 5. Regional household snowmobiling activity of 1996-97 convicted snowmobile law violator respondents and non-respondents in Michigan during that winter. Respondents Non-Respondents Region ' (N= 360) (N= 14) >’< >7 Number of Upper Peninsula days 9.5 18.9 Number of Northern Lower Peninsula days 21.3 21.4 Number Southern Lower Peninsula days 0.7 0.9 Total number days 34.6 41.2 a. See Figure 1 for display of regions. Peninsula Southern Lower , Peninsula 1 | I Figure 1. Three Michigan Snowmobile Regions 60 When asked about their support for selected fatality reduction initiatives, non- respondents and respondents differed slightly (Table 6). Non-respondents were less supportive of mandatory training for all first year snowmobilers regardless of age than respondents. Overall however, they were similar to violator respondents in that they were generally less supportive of fatality reduction initiatives than snowmobilers not cited for a safety violation in winter 1996-97. Table 6. 1996-97 convicted snowmobiler law violator respondents and non-respondents rating of support for selected fatality reduction initiatives. Respondents Non-Respondents Fatality Reduction Initiatives ' (N= 360) (N= 14) >7 % Support " )7 % Support b Mandatory training for all first year snowmobilers regardless of age 3-86 64-4 3-36 50-0 Mandatory personal insurance for all More intensive enforcement of existing snowmobile regulations 3’01 343 3-36 50-0 Licensing required for all snowmobilers 2.83 35.6 3.07 35.7 Enforcement of a snowmobile speed limit on public lands, trails, and waters 2-45 24-6 2-43 21-4 amafing scale: 5 = strongly supports, 4= moderately suppommoderately oppose, 1= strongly oppose. b. Percentage of individuals strongly or moderately supporting the initiative. The comparison of 1996-97 convicted snowmobile law violator respondents from the mail questionnaire and the sub-sample of non-respondents may indicate some moderate differences. For example, non-respondents were slightly younger, owned newer and much more powerful snowmobiles, and rode them more often than respondents. However, the exact nature of these differences may be strongly influenced by the relatively small number of non-respondents who completed the shortened survey. Following is a more revealing examination of possible differences between respondents and non-respondents based on the actual citation records. 61 Citation Data Summg and Response and Non-Remnse Comparison The information from all 983 snowmobile operational and safety citations on file at the DNR-LED was available for this analysis. This was compiled in order to characterize the entire population of 1996-97 convicted snowmobile law violators and compare those who did and did not respond to the mail questionnaire. This provided accurate information on the age, sex, and state and region of principal residence of the total 1996-97 convicted snowmobile law violator population and is compared to respondents in Table 7. The average age of all 1996-97 convicted snowmobile law violators was 33.0 years old and the mean age of respondents was similar at 34.4 years old. Considering age ranges, those from 36-55 were slightly more likely to respond and those under 25 were slightly less likely to respond. This result is similar to the comparison between respondents from the mail questionnaire and the sub-sample of 1996-97 convicted snowmobile law violator non-respondents. 62 Table 7. Age, sex, and state and region of principal residence for all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. All 1996-97 Violators Violator Respondents Category (N= 983) (N= 360) Age in years N % N % $25 288 24.9 69 19.2 26-35 375 40.9 146 40.7 36-45 208 22.7 95 26.5 46-55 78 8.5 37 10.3 255 28 3.1 12 3.3 >‘<= 33.0 (10.2) ' >‘<= 34.3 (10.0) ‘ Sex Male 945 96.3 344 95.6 Female 36 3.7 16 4.4 State of residence Michigan 81 1 82.5 295 81.9 Out of State 172 17.5 65 18.1 Region of county residence b' ‘ Western UP 33 3.4 9 2.5 Eastern UP 46 4.7 12 3.4 Northwestern LP 91 9.3 32 8.9 Northeastern LP 62 6.4 17 4.7 Southern LP 579 58.9 223 62.3 Out of state 172 17.5 65 18.1 a. Standard deviations in parentheses. b. See Figure 2 for display of regions. c. For Michigan residents. 63 There were also few differences between the total population of violators and respondents concerning gender and state and region of origin (Figure 2). Southern LP f i ”—1- Alll Figure 2. Five Michigan Snowmobile Regions Only minor differences were found between the population of all 1996-97 convicted snowmobile law violators and respondents concerning the month, day of week, time of day, and region in which the citation was issued (Table 8). Slightly more than 95% of citations issued to 1996-97 convicted snowmobile law violators occurred between December and February, with January accounting for more than 40% of the citations. Nearly all citations issued during 1996-97 were given on the weekend between 12:00 PM and 1:00 AM. The largest number of citations was issued in the northwestern Lower Table 8. Month, day of week, time of day, and region citations were issued to all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. All 1996-97 Violators Violator Respondents Category (N= 983) (N= 360) Month N % N % October 1 0.1 0 0.0 November 13 1.3 4 1.1 December 253 25.7 98 27.2 January 401 40.8 152 42.2 February 287 29.2 100 27.8 March 27 2.7 5 1.4 April 1 0.1 1 0.3 Day of week Sunday 207 21.1 67 18.7 Monday 20 2.0 10 2.8 Tuesday 27 2.7 10 2.8 Wednesday 10 1.0 6 1.7 Thursday 32 3.3 12 3.3 Friday 145 14.8 58 16.2 Saturday 541 55.1 196 54.6 Time of day 1:00AMto 5:59AM 10 1.0 3 0.8 6:00 AM to 11:59 AM 63 6.4 24 6.7 12:00 PM to 5:59 PM 488 49.9 183 51.1 6:00 PM to 12:59 AM 416 42.6 148 41.3 Region citation issued ' Western UP 121 12.3 51 14.2 Eastern UP 199 20.3 73 20.3 Northwestern LP 312 31.8 110 30.6 Northeastern LP 251 25.6 90 25.0 Southern LP 99 10.1 36 10.0 a. See Figure 2 for display of regions. 65 Peninsula (31.8%), followed by the northeastern Lower Peninsula (25.6%), and the eastern Upper Peninsula (20.3%) (Figure 2). The larger proportion of citations issued in the northwestern Lower Peninsula may be a function of the previously described DNR- LED intensive patrol initiative during winter 1996-97. Of all the citations written in 1996—97 by Conservation Officers, 904 (92%) were single offenses, while 70 (7.1%) were for two offenses and 9 (0.9%) were for three (Table 9). The proportions of the number of offenses written for respondents was similar to those of all 1996-97 violators. Slightly more than half of the citations written during 1996-97 were for operating on a public roadway, while 14.4% were for other roadway related offenses, such as operating against the flow of traffic, failing to operate in a single file order, or failing to be at the extreme right of the roadway going with the flow of traffic. Of the 79 (8.0%) snowmobiles cited for more than one offense, most citations related to riding on public roadways, operating against flow of traffic, not operating in a single file, or not operating to the extreme right of the roadway, coupled with registration problems such as no proof of registration or improper placement or display of snowmobile registration. Respondent citations were pr0portionally similar to all 1996-97 convicted snowmobile law violators in the type of violation. Along with receiving a citation, 8.9% of the 1996-97 convicted snowmobile law violator population were warned about other offenses (Table 10). The frequency and type of warnings received by respondents were in similar proportion to all 1996-97 convicted snowmobile law violators. Based upon this extensive review of citation data comparing respondent violators to all 1996-97 convicted snowmobile law violators, no significant non-response bias is noted. 66 Table 9. Number and type of moving violations issued to 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. All 1996-97 Violator Violators Respondents Number and Type of Violation Issued (N= 983) (N= 360) Number of violations N % N % One 904 92.0 330 91.7 Two 70 7.1 26 7.2 Three 9 0.9 4 1.1 Type of violation ‘ Operation on public roadway 516 52.5 188 52.2 Operation against flow of traffic, not in a single file, at extreme right/left 142 14-4 61 17-0 Operator or passenger without helmet 70 7.1 24 6.7 Operation on railroad right of way 63 6.4 25 6.9 Operation too fast for conditions 54 5.5 19 5.3 Failure to stop for stop sign, road, crossing or railroad crossing Minor operating snowmobile w/o supervision, 50 5.1 21 5.8 safety certificate, or crossing public roadway 16 1'6 4 1’1 Operating under influence of intoxicating liquor 16 1.6 4 1.] Operation within 100 ft of person/ice shanty 12 1.2 1 0.3 Operation in forest reproduction or 11 1 1 4 1.1 restricted area, prohibited area trespass ' Operation without head light or tail light 7 0.7 2 0.6 Fleeing and eluding, not stopping for officer’s signal 8 0'8 2 0'6 Operation on airport property 6 0.6 0 0.0 Operation with improper muffler 4 0.4 2 0.6 Pursuing or harassing wildlife 3 0.3 1 0.3 Operation during closed hours or firearm season 2 0.2 1 0.3 Operation without event permit 2 0.2 1 0.3 Failure to report an accident 1 0.1 0 0.0 a. Where there were multiple Violations, the first Violation listed was used. 67 F"II Table 10. Number and type warnings above and beyond the citation issued to all 1996-97 convicted snowmobile law violators and respondents cited by Michigan Conservation Officers during that winter. All 1996-97 Violator Violators Respondents Number and Type of Warnings Issued (N= 983) (N= 360) Number of warnings N % N % None 896 91.1 323 89.7 One 60 6.1 27 7.5 Two 27 2.7 10 2.8 Type of warning ' No proof of registration, improper ' placement or display of registration 32 36'8 12 32'4 Expired or no trail permit or failure to display 17 19.5 5 13.5 Operation against flow of traffic, not in a single file, at extreme right/left 13 14'9 5 13.5 Operation on public roadway 8 9.2 6 16.2 Operation too fast for conditions 7 8.0 4 10.8 Operator or passenger without helmet 3 3.4 1 2.7 Operation within 100 ft of person/ice shanty 3 3.4 1 2.7 Failure to stop for stop sign, road crossing, 2 2 3 1 2 7 or railroad crossing Operation in forest reproduction or 1 1 1 1 2 7 restricted area, prohibited area trespass ' ' a. Where there were multiple warnings, the first listed was used. 68 Other Snowmobiler Non-Response Of the 166 other snowmobiler non-respondents selected, contact was made with 70 (42.1%). The 96 (57.9%) non-respondents not contacted were either unavailable on five different occasions, the phone number had been disconnected, or it was a wrong phone number. This inability to contact non-respondents suggests that many individuals may not reside at the street address provided with the Snowmobile Trail Permit. Consequently, some mail questionnaires may not have reached the targeted individual, even though the U. S. Postal Service did not return them as undeliverable. Of the 70 contacted, 18 (25.7%) refused to participate, 5 (9.6%) had sold their snowmobiles and stopped snowmobiling, and 47 (67.4%) responded to the shortened survey. The percentage of non-respondents that had sold their snowmobiles was considerably greater (9.6% vs. 1.8%) than those who responded to the mail questionnaire. This suggests that some of the non-response may be related to those who have stopped snowmobiling. Of the 47 non-respondents still involved in snowmobiling, the average number of household members 12 years and older was higher (3.26 vs. 2.49 pe0p1e) than respondents to the mail questionnaire (Table 11). However, these non-respondent households do not appear to be as active in snowmobiling, since the proportion who snowmobiled in Michigan during the winter of 1996-97 was slightly lower (71% vs. 84%) than respondents. The percentage of non-respondents who were residents of Michigan was 78.7%, which is greater than for respondents, as 63.3% were residents of the state. Despite the similarity in average age between these two groups (40.0 vs. 39.1 years old), there were more 36 to 45 year olds and fewer 46 year olds and older non- respondents than respondents. 69 Table 11. Household size and snowmobile activity, age, and residency of other snowmobiler respondents and non-respondents who snowmobiled in Michigan during winter 1996-97. Respondents Non-Respondents Household and Respondent Characteristics (N= 1,348) (N= 47) >7 >7 Number of household ' 2.49 3.26 Proportion of household who snowmobiled ' 0.84 0.71 % % Michigan resident 63.3 78.7 Age in years £25 8.1 8.5 26-35 32.3 31.9 36-45 30.5 40.4 46-55 18.4 10.6 255 10.8 8.5 >2: 40.0 (11.7) " >7= 39.1(11-4)b a Ecludes ofily indmduals 12 years an older. b. Standard deviations in parentheses. The mean number of snowmobiles per household owned and used during Michigan’s 1996-97 winter was slightly less for non-respondents (1.96 vs. 2.11 snowmobiles) than respondents (Table 12). The non-respondent’s household snowmobiles were on average slightly less powerful (506 vs. 525 cc) and older (1991 vs. 1992) than respondents. While the average estimated annual miles each snowmobile was operated was slightly greater for respondents than non-respondents (814 vs. 788 miles), predictably the average estimated number of days each snowmobile was used was almost 10 more days for non-respondents due to the higher proportion of Michigan residents. Correspondingly, the mean number of household snowmobiling days for non-respondents was considerably more at 40.7 days than respondents, who rode their snowmobiles for an average of 23.5 days (Table 13). 7O Table 12. Selected characteristics of other snowmobiler respondents and non-respondents household snowmobiles used in Michigan during winter 1996-97. Respondents Non-Respondents Household Snowmobile Characteristics (N= 1,348) (N= 47) >7 >7 Number of snowmobiles owned 2.11 1.96 Number snowmobiles used 1.97 1.83 Average engine size (cc) ' 524.8 505.8 Average model year ' 1992.2 1991.1 Average estimated annual miles ' 814.3 788.5 Average estimated annual days ' 12.6 22.3 a. Averaga 538a on fifOSC SHOWIIIOBIICS 118a 1n “10138311 during ETC 1993-g, Wlntel'. Table 13. Regional household snowmobiling activity of other snowmobiler respondents and non-respondents in Michigan during 1996-97 winter. Respondents Non-Respondents Region ' (N= 1,348) (N= 47) >7 5? Number of Upper Peninsula days 9.1 7.5 Number of Northern Lower Peninsula days 12.1 30.3 Number of Southern Lower Peninsula days 2.4 3.1 Total number of days 23.5 40.7 a See Figure I for display of regons. When asked about their support for selected fatality reduction initiatives, non- respondents and respondents were similar (Table 14). Both groups were most supportive of mandatory training for all first year snowmobilers regardless of age, and less supportive of an enforced snowmobile speed limit on public lands, trails, and water. Of all the similar mean ratings, the percentage strongly or moderately supporting the initiatives were less for the non-respondents in three of the five initiatives. 71 Table 14. Other snowmobiler respondents and non-respondents rating of support for selected fatality reduction initiatives. Respondents Non-Respondents Fatality Reduction Initiatives ' (N= 1,348) (N= 47) >2 % Support b 2 % Support b Mandatory training for all first year snowmobilers regardless of age 4-03 72-7- 3-71 66-6 More intensive enforcement of existing snowmobile regulations 3.69 59.1 3.38 53.3 Mandatory personal insurance for all snowmobilers 3.66 59.4 3.18 46.7 Licensing required for all snowmobilers 3.06 40.7 3.00 44. 5 Enforcement of a snowmobile speed limit on public lands, trails, and waters 299 41-4 2-98 42-2 a. Rating scale: 5= strongly supports, 4= moderately supports, 3= neum, 2= moderately oppose, 1= strongly oppose. b. Percentage of individuals strongly or moderately supporting the initiative. While differences exist between the other snowmobiler respondents of the mail questionnaire and the sub-sample of non-respondents, they are minor. Furthermore, based upon the number of disconnected and wrong phone numbers, it appears that many of the non-respondents may have moved even though the questionnaires were not returned as undeliverable or the forwarding order expired by the US. Postal Service. Consequently, the response rate may be higher than it appears. In total, non-response bias does not appear to adversely affect the other snowmobiler data in this project. 1996—97 Convicted Snowmobile Law Violator and Other Snowmobiler Comparison Household and Respondent Characteristics The total number of individuals 12 years old and older in households of 1996-97 convicted snowmobile law violators and other snowmobilers was comparable, averaging 2.5 people (Table 15). Likewise, the proportion of the household that snowmobiled in Michigan during the 1996-97 winter was similar between these groups. While the age range between the two groups was similar, proportionally, 14 to 35 year olds accounted 72 for 61% of the 1996-97 convicted snowmobile law violators, while they only made up 40% of the other snowmobiler group. Consequently, the mean age of 1996-97 convicted snowmobile law violators was statistically significantly younger at 34.2 years old than other snowmobilers at 40.0 years old (F -8.61 l, p= 0.000). Table 15. Household size, snowmobiling activity, and respondent age for 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97. 1996-97 Violators Others Household and Respondent Characteristics (N= 983) (N= 1,348) Number of household ‘ N % N % One 52 14.4 162 12.1 Two 172 47.8 709 52.8 Three 71 19.7 226 16.8 Four 44 12.2 178 13.3 Five or more 21 5.9 68 5.1 >7= 2.5 (1.2)b >7= 2.5(l.1)b Proportion of household who snowmobiled ‘ 525% 15 4.2 23 1.7 26% to 50% 70 19.4 318 23.7 51% to 75% 34 9.4 99 7.4 276% 241 66.9 903 67.2 Age in years * $25 26-35 36-45 46-55 255 >-<= 0.83, (0.26) b 67 18.8 149 41.9 91 25.6 38 10.7 11 3.1 >2: 34.2 (10.0) b 52= 0.84 (0.24) b 107 8.1 429 32.3 405 30.5 244 18.4 143 10.8 >2: 40.0 (11.7) b 3. Includes orfly individuals 12 years an older. b. Standard deviations in parentheses. "' Significant difference using the independent-samples t-test at 0.05 level of significance. 73 State and Region of Principal Residence The state of principal residence was statistically significantly different between the groups (Z= —6.700, p= 0.000), as 80% of 1996-97 convicted snowmobile law violators were Michigan residents compared to 63% for the other snowmobilers (Table 16). A statistically significant difference between the two groups was also found for the region of county residence in Michigan (Z= -4.789, p= 0.000). Sixty-two percent of the 1996-97 convicted snowmobile law violators were from the southern Lower Peninsula, compared to 42% of the other snowmobilers. Table 16. State and region of principal residence for 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97. 1996-97 Violators Others Principal Residence (N= 360) (N= 1,348) State of residence * N % N % Michigan 295 81.9 853 63.3 Out of state 65 18.1 495 36.7 Region of county residence " * Western UP 9 2.5 59 4.6 Eastern UP 12 3.4 28 2.2 Northwestern LP 32 8.9 120 9.3 Northeastern LP 17 4.7 54 4.2 Southern LP 223 62.3 538 41.6 Out of state 65 18.2 495 38.3 a. See Figure2 for display of regions. * Significant difference using the Mann-Whitney U test at 0.05 level of significance. 74 Household Snowmobiles and Use Snowmobile ownership, characteristics, and use are shown in Tables 15 through 18. On average, both 1996-97 convicted snowmobile law violator and other snowmobiler households owned slightly more than 2 snowmobiles (Table 17). Proportionally though, 14.5% of 1996-97 convicted snowmobile law violator households owned four or more snowmobiles, compared to 10.9% of other snowmobiler households. While similar in ownership patterns, the mean number of household snowmobiles used during Michigan’s 1996-97 winter was significantly greater (t= 2.239, p= 0.025) for violators, with 2.11 household snowmobiles used versus 1.98 for other snowmobilers. Average engine size of household snowmobiles used during winter 1996-97 was also significantly higher for convicted snowmobile law violators (538 cc vs. 525 cc) than the other snowmobilers (t= 2.107, p= 0.035) (Table 18). There is no statistically significant difference in the age of snowmobiles owned by 1996-97 convicted snowmobile law violators versus other snowmobilers, with the mean snowmobile being five years old. Table 17. Snowmobile ownership and use in Michigan by 1996-97 convicted snowmobile law violators and other snowmobilers during winter 1996-97. 1996-97 Violators Others Household Snowmobiles (N= 360) (N= 1,348) Number of owned N % N % One 104 29.6 380 28.4 Two 145 41.3 599 44.8 Three 51 14.5 213 15.9 Four 34 9.7 104 7.8 Five 17 4.8 41 3.1 >7= 2.2 (1.1)'l >7= 2.1 (1.0)‘1 Mean number used b" >2: 2.11 (1.06) ‘ >-<= 1.98 (0.95) * a. Standard deviations in parentheses. . b. Averaged based on those snowmobiles used in Michigan during the 1996-97 wrnter * Significant difference using the independent-samples t-test at 0.05 level of significance. 75 Table 18. Selected characteristics of 1996-97 convicted snowmobile law violators and other snowmobilers who snowmobiled in Michigan during winter 1996-97. 1996-97 Violators Others Household Snowmobiles (N= 360) (N= 1,348) Average engine size (cc) " * N % N % $450 70 20.5 309 24.4 451-500 71 20.8 259 20.5 501-550 54 15.8 210 16.6 551-600 84 24.6 302 23.9 2601 62 18.2 184 14.6 >7= 537.6 (104.5) b >7= 524.8 (98.7) b Average model year ' $1980 17 5.0 52 3.9 1981-85 22 6.4 95 7.2 1986-90 51 14.9 202 15.2 1991-93 40 11.7 223 16.8 1993-97 212 62.0 755 56.9 >7= 1992.4 (5.4) b 52: 1992.2 (5.0) b a. Averaged based on those snowmobiles used in Nfichigan during the W b. Standard deviations in parentheses. * Significant difference using the independent-samples t-test at 0.05 level of significance 76 One of the key statistical differences between 1996-97 convicted snowmobile law violators and other snowmobilers was the average annual mileage (t= 5.863, p= 0.000) and number of days (t= 6.268, p= 0.000) household snowmobiles were used during Michigan’s 1996-97 winter (Table 19). In terms of mileage, the snowmobiles owned by 1996-97 convicted snowmobile law violators were ridden approximately 20% more miles and used for approximately 30% more days than the snowmobiles owned by other snowmobilers. Table 19. Average estimated household miles and days of snowmobiling for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97. 1996-97 Violators Others Household Snowmobile Use (N= 360) (N= 1,348) Average estimated miles ‘” * N % N % $500 100 28.7 579 44.0 501-1,000 101 28.9 388 29.5 1,001-2,000 113 32.4 285 21.7 2,001-3,000 30 8.6 48 3.7 23,000 5 1.4 15 1.1 >7= 1,061.5 (732.9) b >7= 814.3 (691.4) b ' Average estimated days " * $5 62 17.8 459 34.9 6-10 82 23.5 348 26.5 11-20 109 31.2 305 23.2 21-30 40 11.5 104 7.9 231 56 16.0 99 7.5 >7= 17.9 (17.6) " >7= 12.5 (13.5) b a. Averaged based on those snowmobiles used in Michigan during winter 1996-9'7. b. Standard deviations in parentheses. * Significant difference using the independent-samples t-test at 0.05 level of significance. 77 Regionally, 1996-97 convicted law violator snowmobile activity was greatest in the northwestern Lower Peninsula, averaging 14.4 days per household or 41.4% of the days by households (Table 20). This was nearly twice the mean number of days per household by other snowmobilers in that same region. The northwestern Lower Peninsula includes the Kalkaska, Traverse City, and Cadillac areas. This was the region where the most intensive DNR-LED enforcement activity occurred during the winter of 1996-97 and may have had an influence on this skewed proportion of 1996—97 convicted snowmobiler law violator snowmobiling days to other snowmobilers. Statistically, 1996- 97 convicted snowmobile law violator household snowmobile days were significantly greater statewide and across each region except the western Upper Peninsula (Figure 2). Table 20. Regional household snowmobiling activity for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97. 1996-97 Violators Others Regional Snowmobiling Days (N= 360) (N= 1,348) Region” )7 (s) ‘ % >7 (3) ' % Western UP 3.5 10.7 10.2 4.9 12.4 20.9 Eastern UP "' 6.0 12.0 17.4 4.1 10.0 17.6 Northwestern LP * 14.4 23.1 41.6 7 .8 16.9 33.1 Northeastern LP "' 6.9 17.7 20.0 4.3 11.6 18.3 Southern LP * 3.7 9.7 10.8 0.29 3.7 10.1 Statewide * 34.6 34.4 100.0 23.5 25.4 100.0 a. Ttandard deviations. b. See Figure 2 for display of regions. "' Significant difference using the independent-samples t-test at 0.05 level of significance. 78 Rating of Dangerous Snowmobiling Behaviors and Situations To better understand snowmobilers’ perceptions about the dangers of snowmobiling, respondents were asked to rate the danger of a variety of behaviors and situations (Table 21). Both 1996-97 convicted snowmobile law violators and other snowmobilers considered the operation of snowmobiles by intoxicated persons and snowmobilers lacking skill in operating their machines as the two most dangerous situations. Conversely, both thought that public trail conditions and snowmobiling on county or state roads were least dangerous. The primary difference between the two groups was that 1996—97 convicted snowmobile law violators perceived that the speed of snowmobiles and the operation of snowmobiles by persons who have been drinking, but are not intoxicated, as less dangerous than other snowmobilers. Overall, 1996-97 convicted snowmobile law violators differed significantly from other snowmobilers concerning the perceived risks of the operation of snowmobiles by intoxicated snowmobilers (Z= -2.349, p= 0.019); the operation of snowmobiles by person who have been drinking, but are not intoxicated (Z= -2.695, p= 0.007); the speed of snowmobiles (Z= -3.358, p= 0.001); public trail conditions (Z= -3.507, p= 0.000); and snowmobiling on county or state roads (Z= -2.756, p= 0.006). Rating of Fatality Reduction Initiatives Respondents were asked about their support for five selected fatality reduction initiatives (Table 22). There was significant statistical difference on initiatives between groups because 1996-97 convicted snowmobile law violators were less supportive than other snowmobilers of any initiative. Overall, both groups were most supportive of mandatory training for all first year snowmobilers regardless of age and least supportive of enforcing a snowmobile speed limit on public lands, trails, and waters. 79 ZN m.mm wAN _.N_ wd 5.: wd w.— wd “OZ mom 5mm adm _.m~ WE QNN 3N fix 5N EEG Qmm 9mm fig. NSN 93 6.2 5:” —.o~ m6 0. 58006.2. _. AME 01% wé We 56 md— 93 #6— mg.— mHN ad— ad QN m6. 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Em. .0000 0.308305 0 ..0 8080000080“ . . . . ._ 80.308305 ..0 . mm o m. 0 mm m m. N.m~ wsm v.2 N.N~ 0.0. 0.0. 00.. 0008.00 80.8000... .. 000000.800 0.5083000 Wm ms Nana m.m~ 0.0-m 0.x. 1N. v.00 0.x. m0. ..0 808080.80 028008. 000$. _. 80.508308 3.. 0... 0.0. 0.0. Wmv 0.8 0.0 wém 0.0. .6». ..0 00.0 00:00:08 .8082. 8000.803. _.. 0w0 .00 80.00090 80.508305 m0 5m Ow. m.- 0.0.0 0.x 0.0 m0. Nw. N00 0000 08m ..0 00.. 88.08 0.080.802 Mg and mam-.4 wad—0'0 a.“ a a 3 mafia mama 0,80. 030%. 0000402 0% 3 000.0% 0420.00.12 maulm 80.00”. .x. .83 "z. 89“ "z. 82003 8050 8000.0; 00-000. 00.00200”. N3:000". 80-000. 008.? M0086 00030.82 8 80.508305 0050 .80 8000.03 30. 0.308308 0000.800 00-000. 3 00300.08. 00.000000 00:80.0 00000.00 00.. 0000000 ..0 M053. .mm 0.00..- 81 Household Snowmobiling Expenditures and Safeg Education As indicated in Table 23, 1996-97 convicted snowmobile law violators spent significantly more (t= 4.043, p= 0.000), an average of $5,456 for winter 1996-97, on snowmobiling equipment, maintenance, insurance, and storage versus other snowmobilers who spent an average of $3,752. While the proportion of the household 12 years and older who had completed a snowmobiling safety class was slightly less for 1996-97 convicted snowmobile law violators than for other snowmobilers (14% vs. 16.9%), the difference was not statistically significant (t= -l .570, p= 0.117). Table 23. Household expenditures for snowmobiling and participation in snowmobile safety training for 1996-97 convicted snowmobile law violators and other snowmobilers in Michigan during winter 1996-97. 1996-97 Violators Others Household Spending and Safety Class (N= 360) (N= 1,348) Annual expenditures on snowmobiling " * N % N % $5500 80 23.4 487 36.2 $501 to $2,000 56 16.4 266 19.7 $2,001 to $5,000 55 16.1 163 12.1 $5,001 to $10,000 105 30.7 300 22.3 2$10,001 46 13.5 131 9.7 >‘<= $5,456 (10,472) ° >7= $3,752 (5,742) ° Proportion of household previously completing a safety class " None 275 76.4 956 71.2 325% 7 1.9 42 3.1 26% to 50% 44 12.2 205 15.3 51% to 75% 13 3.6 44 3.3 276% 21 5.8 96 7.1 >7= 14.2% (28.5) ° >7= 16.9% (30.1) ° a. Includes equipment, maintenance, insurance, and storage expenses. b. Includes only individuals 12 years an older. c. Standard deviations in parentheses. "' Significant difference using the independent-samples t-test at 0.05 level of significance. 82 Perceptions of Snowmobile Accident Factors Of the 1996-97 convicted snowmobile law violators, 193 (53.6%) knew of a winter 1996-97 personal injury or fatal snowmobiling accident as did 707 (52.4%) of the other snowmobilers. When asked the circumstances surrounding the accidents, 1996-97 convicted snowmobile law violators and other snowmobilers had widely differing views (Table 24). For example, 1996-97 convicted snowmobile law violators cited lack of operator skill, trail conditions, and visibility as the top three factors that contributed to the accident. This contrasted with other snowmobilers who cited speed, alcohol, and operator’s lack of skill as the main factors of the accident. With the exception of visibility, the proportion citing each of these factors was significantly different between the two groups. Table 24. Assessment of selected factors contributing to a personal injury or fatal snowmobiling accident with which 1996-97 convicted snowmobile law violators or other snowmobilers were familiar in Michigan during winter 1996-97. 1996-97 Violators Others Factor (N= 193) (N= 707) N % ' N % ‘ Lack of driving skill * 104 53.9 293 41.4 Trail conditions "' 82 42.5 _ 160 22.6 Visibility 78 40.4 268 37.9 Speed * 69 35.8 462 65.3 Alcohol * 67 34.7 338 47.8 Ice conditions 44 22.8 148 20.9 Snowmobile on roadway 28 14.5 130 18.4 Fatigue 19 9.8 46 6.5 Non-snowmobilers on trail 11 5.7 43 6.1 a. Multiple factors were often perceived to be involved, hence percent coTumns add to more than 100.0%. "' Significant difference using the chi-square test at 0.05 level of significance. 83 Assessment of Independence Between Independent Variables Bivariate correlation matrices, using the Speannan’s rho (r,) and Pearson’s r tests of association, were computed to assess the independence of the explanatory independent variables. Four pairs of variables were correlated (r,>0.40) for the ratings of support for selected fatality reduction initiatives and the ratings of the danger of snowmobiling behaviors and situations (Gray & Kaminski, 1994) (Tables 25 - 27). Of these variables, rated support for the creation and enforcement of a snowmobile speed limit on public lands, trails, and waters correlated with the variable measuring support for more intensive enforcement of existing snowmobile regulations (r,= 0.487, p= 0.000) (Table 25) and the rated danger associated with the speed of snowmobiles (r,= 0.645, p= 0.000) (Table 27). Consequently, rated support for enforcement of a snowmobile speed limit was eliminated in favor of the other two variables. This was because the creation and enforcement of a speed limit can be considered analogous to more intensive law enforcement, while the danger associated with the speed of snowmobiles is an important factor in determining the snowmobiler’s perceptions of the safety of snowmobiling. The third set of correlated variables (r,>0.40) included the danger associated with the operation of snowmobiles by intoxicated persons and the operation of snowmobiles by persons who have been drinking, but are not intoxicated (r,= 0.514, p= 0.000) (Table 26). Since it is widely known that operating a snowmobile when intoxicated is dangerous, the variable measuring the danger of operating a snowmobile by persons who have been drinking is included in the logistic regression analysis. The last pairs of correlated variables (r,>0.40) pertained to public trail conditions and trail design (r,= 0.565, p= 0.000). The rating of trail conditions was selected for inclusion in the analysis since it is influenced by design and other factors. 84 .8305 803.2. .23 A 0. 0500208 2.. 88.0.0800 ..0 .00. 000 0.008000% .0 000.03 .0 .0000. .0000. 000:0 =0 .08.. ooo.. 8.. 00.3 mmmo o0. .o 00o.o ..8... 000mm 00000 0.5083000 0 ..0 8080000..:m. . . . . 000000800 0.3083080 ooo . v0~ o 0mm o 0.~ o 808000005. 30.0000 ..0 808080.80 03000.8 000.). 80.. 3.3 800 8:8... 002.8838 =0 0o. 02.002 8.88... . . 8000083000 ooo . 0mm o 00:00:08. ..0 00-. 00:00:08 .000800 000.005.). . 0w0 ..0 000.000w00 82.008380 ooo . 0000003. 0000 .80 ..0 00.. 80.800. 000.0000: ..8... 0025 8080000000.. 00:00... 00:00:00. 0000003.. 0.00.00> 000.008. 0000003. 0.00.00. . 0080800 82.008380 000.0 0000 80.0.03 30. 0.5083000 00.0.88 00-000. 00.. 003.008. 00000000 0.00.0. 00.00.00 00.. .000000 8.00.0008 00.00.00> 800000008 8003.00 0000.00.80 0.0.0.35 .mm 0.00 .0 85 .00.00.00> 00003000 803 A 0. 00.00.0800 0.... 80000000000 .00 0000 000 0.8050000m .0 . . . 00000 00000 ooo . 0.N o mm. o wmmo wwmo 0w..o 0v~.o NN..o .m..o 003000.”. 00 38000 000 w:...00830=m ooo. .1. m0m.o .36 mod oNNo ommo mm . .o m.o.o 000.000. 000.000 ..000 000000. ooo. wood- 08o wmmo ammo .0. .o .voo- 0000.0.0000 000000.008 ..000 000?. 0000000000. 00: 000 000 £80.80 .0000 ooo.. homo 08o mnoo o. ..o I. 00. 0o 90.0.0000. 0>00 003 00000000 00 0000083000 .00 00000000 ooo. wvoo- omoo .moo «so 000% 00.000830000 .00 000% . . . . .0500 0-x 0.00 0.0000 80: 000 o 002 0000 00800050 2.853800088 0200 o 0 o mge ooo . 00.. o who o 00.0.00> .0000000 :0 00.0000 00 0000 . . 0080.008 0.000 $500000 ooo . o: o :06 8 :30 $00.00. 000309 . 00000000 000000808 00 ooo . 00000000000. 00.308305 ..0 80.000000 86 003003. 08.000. 0000.00.00 080.800. 000% 00003 00.0.00> :05 0000000000. 0.00.00> 5.003% 00000 00 00.>000m. 0:000w0000. . 000.0800 80.308308 00000 0000 00000.00, 30. 2.0083000 00000800 .0000. 00.. 00300.08. 0000000000 0000 000000000 0800083000 00.00.00 800.0 00300 w80=0008 00.00.00.» 800000.000. 000300 00.00.0008 000000005 .00 0.00 ... 02.05., 0828 .80 A 0 802208 i. 003005 00 0800002. 80 00 as 00 8300 80 ..0 80.00.8000 ..0 0000 000 0000800005 .0 000.0 08.0 08.0- 80.0 2.. 00.0.0 08.0- 08.0 08.0- :3 00a: 0800 0.0.0 0.8.0 08.0- :8 003 08.0- 08.0 08.0 20.0 05.820000 000.0 08.0 08.0 80.0 000.0 08.0 03.0 000.0 0:0 8:8: 0.8.0 0.8.0 08.0- 000.0 02.0 08.0 80.0 :00 00 0.0 85505 08.0 08.0 08.0 000.0 03.0 08.0 08.0 000.0 03.0 8032.0 0032.00 00080 250080 0:00:00 0.800 008: 0200 802$ :00 808002.00 .. 200.59 . 0080800 002308305 000.00 000 00000.03 30. 0000830000 0000.800 00-000. 00.. 0030008. 000000000 0.0000,. 00000.00 00.. 0000.00 000 000.0030 0000 000300.00 90050830000 00000.00 800.. 000000 90000008 00.00.00> 800000.008 00003000 00.00.00.000 000.00>.m. ...N 0.00 .H 87 The bivariate correlation matrices for independent variables measuring household snowmobiling activity, safety certificate possession, snowmobile ownership, selected snowmobile characteristics, respondent age, and non-trip spending is shown in Table 28. Of the variables, the average age and engine size of household snowmobiles used in Michigan during the 1996-97 winter are correlated (t= 0.492, p= 0.000). The latter variable was selected since the average age was found not to be statistically significance between the 1996-97 convicted snowmobile law violator and other snowmobiler groups. The other set of correlated variables involve the average annual miles and days household snowmobiles were used during Michigan’s 1996-97 winter (r= 0.534, p= 0.000). The average annual snowmobile days was selected for inclusion in the modeling process because estimating annual mileage is difficult and days seem to be a more accurate measure of snowmobiling activity. Descriptive Summm Of the fifteen predisposing independent variables theorized to differentiate 1996- 97 convicted snowmobile law violators and other snowmobilers, 11 (73.3%) were found to be statistically different between the two groups at the 0.05 level of significance (Table 29). These included age and five of the nine dangerous behaviors or situations relating to drinking, the speed of snowmobiles, trail conditions, and riding on roadways. The variables measuring snowrnobilers’ perceptions of the dangers of operating snowmobiles when intoxicated and the public trail design were found to be correlated with other variables and thus were eliminated fi'om the modeling process. The list of statistically different variables also contained all of the fatality reduction initiatives. However, the variable measuring support for the creation and enforcement of a snowmobile speed limit on public lands, trails, and waters was eliminated fiom the modeling process since it was correlated with two other variables. 88 .8300? 08380 .000 A 0 0000.280 2.. 000000000 0w00000 000 6000-808 6000000808 80808.00 0000.00. .0 0000.3 0.0-000. 00.0 mar—:0 00300.3. 0. 0000 0000083000 00000 :0 0000.. 00w000>< .0. 80.00.8000 .00 0000 0 0.000000 .0 . . . 9 3.0008380 0000 000 0 0000 :00 000.0 000.0 000.0- 000.0 000.0 0000800 8083080800080. 000.. 8.0.00.0 30.0 000.0 000.0. 000.0- 000.0 000.0 802 .8000 0800508 80082 000.0 000.0 000.0 000.0- 000.0- 000.0 000.0 0000 00000 020808 000830 000.0 8.0000 000.0- 000.0- :00 03.0 80.0 .8332: 00082 000.0 000.0- 000.0- 000.0- 000.0- 00 .000 2008 000830 000.. 000.0 000.0 000.0 8030 8030 80502 01803300030 000.. 000.0- 000.0 8000 .080 000 00808080 08.. «8.0 000.0 000.0 000.000 0 :03 000000000 ooo. 00.308305 00.508305 0:3 80.800000 0.0 880 0m 200800: 0000800 8:2 0000 00< 00 08:30 o0< 80.0 800053000 20000> .980 .000”. . 000.0800 00000083000 000.00 000 00000.03 30. 0.5083000 0000.800 3.000. 00.. 00.00000 0:0 00000000000005 00000.00 0:0 00.000030 0.5083000 .0w0 0000000000 000.0 000.00 500.000 303083000 0.00.0002. 80.000008 00.00.50, 0000000000. 0003000 00.00.0800 00000005 .wm 0.0.00. 89 Table 29. Predisposing variables and their statistical significance between 1996-97 convicted snowmobile law violators and other snowmobilers. Significantly Predisposing Variables different ‘ Respondent’s age S Dangerous behavior or situation rating " Operation of snowmobiles by intoxicated persons ‘ S Drivers lacking skill in operating their machines NS Cars or trucks on seasonal roads NS Other uses of snowmobile trails (e.g. X-C skiing) NS Speed of snowmobiles Operation of snowmobiles by persons who have been drinking, but are not intoxicated Public trail conditions S Public trail design ‘ NS Snowmobiling on county or state roads S F atalig reduction initiatives rating ° Mandatory training for all first year snowmobilers regardless of age S Mandatory personal insurance for all snowmobilers S More intensive enforcement of existing snowmobile regulations S Licensing required for all snowmobilers S Enforcement of a snowmobile speed limit on public lands, trails, S and waters ‘ a. S = significant statistical difference at 0.05 level, NS = not significant. b. Rating scale: 5= extremely dangerous, 4= highly dangerous, 3= moderately dangerous, 2= slightly dangerous, 1= not dangerous. c. Rating scale: 5= strongly supports, 4= moderately supports, 3= neutral, 2= moderately oppose, 1= strongly oppose. d. Correlated variable eliminated fi'om modeling process. 90 As for those potential enabling variables theorized to differentiate 1996-97 convicted snowmobile law violators and other snowmobilers, all were found to be statistically significantly different (Table 30). However, since the average estimated annual miles and days household snowmobiles were used during Michigan’s 1996-97 winter were correlated, only the estimated days variable was included in the logistic regression analysis. Table 30 also displays the potential reinforcing variables. Only one variable, annual household expenditures on snowmobiling, was found to be statistically different. The average age of household snowmobiles was eliminated since it was correlated with the average engine size of household snowmobiles. Table 30. Enabling and reinforcing variables and their statistical significance between 1996-97 convicted snowmobile law violators and other snowmobilers. Factor Significantly Variables different ‘ Enabling Average number of estimated snowmobiling days per household S snowmobile b Avg. number of estimated miles ridden per household snowmobile b' ° S Average engine size (cc) of household snowmobiles b S M00002 Proportion of the household 12 years and older who snowmobiled NS during the Winter of 1996-97 Total number of snowmobiles owned by the household NS Average age of the of household snowmobiles b’ c NS Total household expenditures for snowmobiling equipment, S maintenance, insurance, and storage Proportion of the household 12 years and older with a snowmobile NS safety class a. S = significant statistical difference at 0.05100, NS = not significant. b. Averaged based on those snowmobiles used in Michigan during the 1996-97 winter. c. Correlated variable eliminated from modeling process. 91 While only about two-thirds of the hypothesized variables were identified as being statistically different between 1996-97 convicted snowmobile law violators and other snowmobilers, all (except those correlated with others) will be included in the logistic regression analysis. This is because different tests of significance with a larger acceptable significance level will be applied. 92 CHAPTER SIX LOGISTIC REGRESSION ANALYSIS RESULTS Three phases were involved in the logistic regression modeling process in order to identify those variables best differentiating 1996-97 convicted snowmobile law violators from other snowmobilers and predicting each group’s membership. First, a univariate analysis was conducted between the dependent variable and all independent explanatory variables. Secondly, those independent variables potentially contributing to the explanation of the dependent variable were then used in a series of logistics regression (LR) models to elicit those variables that best discriminated the 1996-97 convicted snowmobile law violators from other snowmobilers. Third, the model’s accuracy in predicting each group’s membership was examined. Phase 1: Univariate Analysis Of the twelve predisposing independent variables included in the univariate analysis (Table 29), eleven were statistically significant with a p-value less than or equal to 0.25 (Mickey & Greenland, 1989) (Table 31). The respondent’s age was highly significant (LR= 78.069, d% 1, p= 0.000). Of the seven dangerous behaviors or situations, all but operator’s lacking driving skill was statistically significant. Two had significance levels of 0.000. These included the speed of snowmobiles (LR-x2= 39.964, df= 4) and trail conditions (LR-x2= 20.928, df= 4). All of the fatality reduction initiatives were statistically significant, with mandatory personal insurance (LR-x2= 79.941, df= 4, p= 0.000) and more intensive law enforcement (LR-x2= 25.088, df= 4, p= 0.000) as most significant. 93 Table 31. Likelihood ratio and likelihood ratio chi-square tests between the dependent and predisposing independent variables. ' Predisposing Variables Value (if p Respondent’s age " 78.069 1 0.000 * Dangerous behavior or situation rating b‘ ° Drivers lacking skill in operating their machines 0.180 4 0.996 Cars or trucks on seasonal roads 6.812 4 0.146 * Other uses of snowmobile trails (e.g. X-C skiing) 7.149 4 0.128 * Speed of snowmobiles 39.964 4 0.000 * Operation of snowmobiles by persons who have been drinking, but are not intoxicated ““800 4 0'019 * Public trail conditions 20.928 4 0.000 * Snowmobiling on county or state roads 11.394 4 0.022 "' Fatalig reduction initiatives °' ° Mandatory training for all first year snowmobilers ..- regardless of age 8'804 4 0'066 Mandatory personal insurance for all snowmobilers 25.088 4 0.000 * More intensive enforcement of existing a: snowmobile regulations 7994] 4 0000 Licensing required for all snowmobilers 6.997 4 0.136 * a. Dependent variable coded 0= other snowmobilers and 1=T99637 convicted violators. b. Rating scale: 5= extremely dangerous, 4= highly dangerous, 3= moderately dangerous, 2= slightly dangerous, l= not dangerous. c. Rating scale: 5= strongly supports, 4= moderately supports, 3= neutral, 2= moderately oppose, 1= strongly oppose. d. Likelihood ratio test. e. Likelihood ratio chi-square. * Significance at p3 0.25. Both the enabling independent variables, average household snowmobiling days (LR= 33.647, df= 1, p= 0.000) and engine sizes (LR= 4.413, df =1, p= 0.036), were statistically significant (Table 32). Only two of the four reinforcing independent variables were found to be statistically significant with the dependent variable (Table 32). These were total household spending on snowmobiling (LR= 14.479, df= 1, p= 0.001) and the proportion of household 12 years and older having attended a snowmobiling safety class (LR= 2.445, df= 1, p= 0.118). The proportion of household 12 years and older who snowmobiled during the 1996-97 winter and the total number of snowmobiles owned by the household were not statistically significant and thus were eliminated from the modeling process. 94 Table 32. Likelihood ratio tests between the dependent and enabling and reinforcing independent variables. ' Factor Variables Value df p Enabling Average number of estimated snowmobiling days per household snowmobile b 33-647 1 0.000 * Average engine size (cc) of household snowmobiles b 4.413 1 0.036 * Reinforcing Proportion of the household 12 years and older who 0 330 snowmobiled during the winter of 1996-97 1 0566 Total number of snowmobiles owned by the household 1.108 1 0.293 Total household expenditures for snowmobiling * equipment, maintenance, insurance, and storage ”A79 1 0-001 Proportion of the household 12 years and older 2 445 l 0 118 a: with a snowmobile safety class a. Dependent variable coded0= other snowmobflers and 1= 1996-97 convicted Violators. b. Averaged based on those snowmobiles used in Michigan during the 1996-97 winter. * Significance at pS 0.25. Phase 2: Initial Logistic Regression Analysis Backwards Variable Selection Model The initial LR modeling process, encompassing all cases and significant independent variables identified in the univariate analysis, employed the backwards stepwise variable selection approach using a 0.15 criterion entry level of significance. The choice of setting the statistical significance criterion for entry at 0.15 is to “prevent the failure to find a relationship when one exists” (Menard, 1995, p. 55). Of the fifteen independent variables, seven were not statistically significant (p= 0.15) predictors of the dependent variable (distinguishing 1996-97 convicted snowmobile law violators from other snowmobilers). These non-significant variables included four variables describing the dangers related with drinking and snowmobiling, vehicle use of seasonal roads, riding on public roadways, and other users of snowmobile trails. The last 95 three non-significant variables pertained to respondent’s support for initiatives to reduce snowmobiling relates fatalities. These included licensing operators, requiring personal insurance, and mandatory training for first year snowmobilers. Since these independent variables were not statistically significant predictors of dependent variable, they were eliminated from the modeling process. The logistic regression statistics for those predisposing, enabling, and reinforcing independent variables that were significant predictors of the variable distinguishing 1996- 97 convicted snowmobile law violators from other snowmobilers are displayed in Table 33. Consistent with the descriptive analysis, age was best at differentiating 1996-97 convicted snowmobile law violators from other snowmobilers (W 2k= 28.5376, p= 0.0000). This was expected since 1996-97 convicted snowmobile law violators were on average approximately six years younger than other snowmobilers. Youthfulness of violators is also consistent with past snowmobile, traffic safety, and fish and wildlife research on law violators and accident casualties (Dewar, 1973; Jackson et al., 1979; Anderson, 1987; James et al., 1991; Elander et al., 1993). The second of the significant predisposing independent variables that divided the two groups was support for more intensive enforcement of existing snowmobiles regulations (W 2,= 23.9049, p= 0.0000). As one might expect, 1996-97 convicted snowmobile law violators were less likely to support more enforcement. Researchers have found that, in general, individuals who have received a citation have a more unfavorable attitude toward the police and their presence than those who have not received a citation (Cox & White, 1988). This has been corroborated in other studies comparing apprehended wildlife law violators with lawful hunters (Stoll, 197 5; Melynk, 197 7). 96 .000 00 00 808000000 _. 0883 3-000. 000 @0000 00300.2 00. 000: 02.008305 00000 :0 00000 00w000>< .0 0000.0...000 00.00.00.000 .0800 n 0 000000.880 n 0 800000.. ..0 000090 n ..0 6.00.0000 0.0..» u .03 .0000.0m...000 00.000800 ..0 00000 00000000 u.m.m 00.00.00.000 000.0000m00 H m .0 000.0 000.00 00008305 0 003.c- .. 38.0 000.0 man-Nd 0000.0. 00. 3 000.0 000 00000 N. 0.0000000 00. ..0 00.000080 . . . . . 0w00000 000 60:00:00. 600000.808 .8080.000 0- .00 o 0. .000 o 0000 0 .0000 o 808 o m0...008305 00.. 0000000000000 0.0000000 .000 ..- 0.8800040 $00.0 .. 0000.0 0000.0 0000.0 200.0 .. 80005308 2008000 00 .80 80.... 2008 0082.0. . . . . . 02.008305 0.0000000 00 008 o .. 0.8 o 003 o. .08 0 mm... o 0 000 w:...008305 00008.000 ..0 000800 0w000>< 00.140301. mono-o- .. .08... 090.0 0000.0 mmm ..o- 00..008305 ..0 00000 000 00.3 020.0500 009000. 800.0 _._ moood 030:0... 0000.0 5.2. 000.0.0000 ..80 00000 000 00.3 080.0500 00w000n. . - . . . . 000000.800 2.008305 .3. o 0. 88 o 030 mm 003 .0 30m 0. 90.00.00 ..0 058080.00 000.0008. 0008 00.. 000005 30......- _. coco... 00mm.w~ 008.0 83.0.- 0w0 0.0500500. Mada-0% 0 0 .03 .m.m m 0.00.00> 00000 0. . 0000008305 00000 05 00000.0.> 30. 00008305 0000.800 3.000. 0003000 0.0.0.0000 00.0000w00 0.0080. 00.30000 000030.000 000 8. 00000.00 00.00.00> 90.000.00.00 000 08.0000 000.005.0000 000 00.. 00.00.0000 00.000800 0.00800 .mm 0.00 ..- 97 Of the dangerous behaviors and situations, the two most significant independent variables from the univariate analysis, public trail conditions (W2k= 12.9278, p= 0.0003) and the speed of snowmobiles (W2k= 4.3436, p= 0.0371), were significant predictors of the dependent variable. In this model, the 1996-97 convicted snowmobile law violators considered the speed of snowmobiles as less dangerous and public trail conditions as more dangerous than other snowmobilers. Logically, with greater the speed of the snowmobile, it is more likely that imperfect trail conditions will influence safety and control. In addition, comparative studies of individuals who have not and those who have violated wildlife laws concluded that violators are generally more unfavorable towards any management activities (Melynk, 1977; Andersen, 1987). This suggests that 1996-97 convicted snowmobile law violators are more likely to be dissatisfied with trail management (e.g., public trail conditions) than other snowmobilers. As postulated, the average number of days each household snowmobile was used for snowmobiling during the 1996-97 winter (W2k= 10.2557, p= 0.0014) and the average engine size of household snowmobiles (W2k= 3.7093, p= 0.0541) were statistically significant enabling predictors in differentiating 1996-97 convicted snowmobile law violators from other snowmobilers. In this model, 1996-97 convicted snowmobile law violators had more snowmobiling days than other snowmobilers. This is comparable to other studies where injured snowmobilers spent more time snowmobiling than uninjured snowmobilers (Waller & Lambom, 1975; Rowe et al., 1993) and wildlife law violators hunted more than non-violators (Gray & Kaminski, 1994). While there are conflicting conclusions about the significance of engine size as it relates to law violations, this model found that 1996-97 convicted snowmobile law violators had slightly larger engines than other snowmobilers. 98 Of the original five reinforcing variables hypothesized to differentiate 1996-97 convicted snowmobile law violators and other snowmobilers, only two were included in the LR model. First, as noted in the descriptive analysis, 1996-97 convicted snowmobile law violators tended to spend more for snowmobiling equipment, maintenance, insurance, and storage costs than other snowmobilers (W2k= 7.5300, p= 0.0061). The second significant variable was the proportion of a household that completed a snowmobiling safety class (W2k= 5.1859, p= 0.0228). As speculated, a smaller proportion of 1996-97 convicted snowmobile law violator household members had taken a snowmobile safety class than those in other snowmobiler households. Altogether, the variables selected using the backwards stepwise approach produced a statistically significant model (Model X2= 152.516, d% 8, p= 0.0000). However, the proportional reduction in the model chi-square (R2L= 0.1037) suggests only a slight association between the combination of independent variables and the dependent variable distinguishing 1996-97 convicted snowmobile law violators from other snowmobilers. This weak association suggests that additional independent variables are necessary to reduce the badness of fit, or simply that the variation between the respondents in each group is in fact small. This latter explanation is perhaps more plausible since group membership over time may shifi. Other snowmobilers, while characterized as non-violators, cannot be regarded has never having violated snowmobile laws. It is also likely that some of the 1996-97 convicted snowmobile law violators disobeyed the law unknowingly. Lastly, the R2L statistic should be analyzed with caution, since the focus of this part of the LR analysis was to identify distinguishing variables. The adequacy of the model in distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers is also a measure of goodness of fit of the model and will be further addressed. 99 Single Block Eng Model To substantiate the significance of the independent variables selected in the backwards stepwise logistic regression model, a second LR analysis was conducted using a single block entry procedure. This procedure enters the selected independent variables at the same time in the order in which they emerged in the backwards stepwise logistic regression model. This second model is used to validate the significance of each independent variable distinguishing 1996-97 convicted snowmobile law violators from other snowmobilers (Hosmer & Lemeshow, 1989). This validation is accomplished through a comparison of regression coefficients and Wald statistics from the original LR model to the LR model using single block entry. The logistic regression statistics for independent variables are displayed in Table 34. While all the independent variables exhibited some variation in the regression coefficients and Wald statistic, four in particular changed noticeably. The regression coefficient for the proportion of the household with a snowmobile safety class changed fi'om -0.5450 to -0.4740, while the Wald statistic decreased from 5.1859 to 4.1228. However, these changes did little to affect the statistical significance of the variable. Likewise, the danger associated with the public trail conditions regression coefficient decreased from 0.2187 to 0.1916 and the Wald statistic decreased from 12.9278 to 10.4223 without affecting the significance of it. The other two variables did have significance levels that change markedly from the backwards stepwise model to the single block entry model. The statistical significance of the variable gauging the danger associated with the speed of snowmobiles increased fi'om 0.0371 to 0.0772. In this case, the regression coefficient when from -0.1335 to - 0.1105 and the Wald statistic decreased from 4.3436 to 3.1221. Lastly, the statistical significance level of the average engine size of household snowmobiles increased from 0.0541 to 0.0664. However, little change in the regression coefficient and Wald statistic was noted. 100 .80 mg a 85000000 .. .3000— 00053 w:_0:0 :0»_:0=2 E 000: 0230:0305 000:0 :0 0000: 003020. .: 4:060:08 500—00000 00:00: N 0 00:85:?” n 0 .800000 .00 0000m00 n 00 600080 0.03 n .03 06065000 :0mmm00w00 .00 00000 0000500 ".m.m £56508 :000000m00 n m .0 000.0 30.000 2308305 0 N586- .. 33.0 _ 32.: mmmmd 9.3.0- :00: 00:0 0:0 0000.» N: 20:00.00: 0:: .00 5000000: . . . . . 0w0000m 0:0 00:00:05 60:38:02: 4:083:00 38 o .. goo o _ mm: n :58 0 880 o w:=_:0:030:0 00.: 8030:0900 20:00.00: 030,—. 3.00043 008.0 0000.0 _ moomd good m Sod .0 0.0—30.00305 20:00:00: .00 A08 00:0 3&5 0w000>< . . . . . .0 2508305 20:00:00: 00: 53 o .. wooo o _ 0mmm : 3.8 c R S o 930 30.508305 0000:0000 .00 00:80: 0w000>< 003.040 :86- «Rod : :NN— .m Rood m3 :6. 0230:0305. .00 000% 05 :03 0030800 00w:0Q N306 .. «Sod _ mmmvd— named 03— .o 0:020:00 00.: 0::0: 0:0 :00: 00.060000 00w:0Q . - . . . . 0:002:30 0::05305 3N: o .. coco o _ memo cm 33 c m EN 0. $0000 00 808000005 0 $8005 0008 00.0 000096 :2 .o- _.. ooood : wamwm N806 named- 0%: 0.300330% m.||m.|l:mmo 0000: 0 a 00 «a 0.0 m 2.005 00000.: . 002505305 0050 0:0 00000—00, 30. 2508305. 00:03:00 3.03. :00300: $0205 :0_mm00w00 000%2 :0 9:0 :02: 0_w:_0 3%: 003053 w:m000.0::00 05 $5305 0500000000 00.: 0000080 :000000w00 000mg: .3“ 030,—. 101 The variation of the regression coefficients and the Wald statistic between these two entry procedures is principally related to the statistical algorithms used in calculating them (Hosmer & Lemeshow, 1989). Nevertheless, it does highlight the potential uncertainty about the relative importance of the variables in the overall logistic regression model. As a result, a comparison of the logistic regression model with and without these non-significant variables was performed. The logistic regression model with all eight independent variables entered as a single block produced a statistically significant Model X2 of 149.122 with a proportional reduction model chi-square of 0.097 (Table 35). Excluding the independent variables measuring the respondent’s opinions about the danger associated with the speed of snowmobiles reduced the Model X2 to 145.989 and the R2L to 0.094. In doing so, the significance level of the average engine size of household snowmobiles increases from p= 0.0664 to p= 0.1340, reducing its overall significance. Table 35. Logistic regression model statistics with, without, and combined non- significant variables identified in the single block entry in logistic regression analysis between 1996-97 convicted snowmobile law violators and other snowmobilers. ' Logistic Regression Model 5 Model X2 df R2L With both variables included 149. 122 8 0.097 Without the danger associated with the speed of snowmobiles variable 145989 7 0’094 Without the average engine size (cc) of household snowmobiles variable 149641 7 0'095 Without either variable 147.762 6 0.093 Combining both variables ° 147.818 7 0.097 a. Mode 72 = model chi-square, df = dimes offieedom, and R‘L = proportion reduction in the model chi-square. b. LR model includes independent variables selected in the backwards stepwise logistic regression analysis. c. SPSS automatically calculates and creates new variable for those specified independent variables believed to be interactive terms. 102 The same situation arises when the independent variables measuring the average engine size of household snowmobiles are excluded. While the Model X2 actually increases by 0.519, the R2L decreases slightly by 0.002 from the LR model with all eight variables, and the danger associated with the speed of snowmobiles becomes insignificant. When both independent variables are excluded the resulting Model X2 equaled 147.762 and the R2L equaled 0.093. These results suggest that both the danger associated with the speed of snowmobiles and the average engine size of household snowmobiles add only slightly to the overall model. Moreover, both independent variables appear to be mutually related to one another since the exclusion of either from the model affects the other. Since the speed of snowmobiles is partially related to the average engine size of household snowmobiles, these two variables were multiplied together to form a cross- product or interaction term (Hosmer Lemeshow, 1989). This term was then entered in the logistic regression model along with the other significant independent variables. The change in the model chi-square and proportional reduction in the model chi-square from the original LR model to the new LR model, with the interactive term as well as the statistical significance of the new independent variable, exhibited some significance (Hosmer Lemeshow, 1989) (Table 35). The results yielded a Model X2 of 147.818 and R2L of 0.097. Moreover, this new variable produced a statistically significant (p= 0.0431) coefficient of -0.0002 and Wald statistic of 4.40908. However, its significance is marginal and its overall inclusion does little to improve the model. Furthermore, it would be difficult to draw concise conclusions about this variable, so it was eliminated from the model. 103 The logistic regression statistics for the single block entry model without the cross-product between the average engine size of household snowmobiles and danger associated with the speed of snowmobiles included is displayed in Table 36. Both the respondent’s age and the variable measuring support for more intensive enforcement of existing snowmobile regulations had Wald statistic that increased significantly. For instance, the Wald statistic from age increased from 28.3198 in Table 35 to 30.4656. Support for more intensive law enforcement increased from 26.0803 in Table 35 to 37.2407. Overall, these six independent variables produced a statistically significant Model X2 of 147.762 with a proportional reduction model chi-square of 0.093. 104 .80 00 a 8:800:00 .. .3000: 00053 w:_0:0 53:22 :2 000: 0230:0305 000:0 :0 0000: 00w000>< .: 3208000 :00200000 3000: .I. 0 .00:005:w_0 u 0 .800000 .00 0000w00 u .00 6000000 0:03 H .03 03208000 :20000w00 3 00000 0000530 ".m.m 03208000 :20000w00 u m .0 00:0 30.000 2308305 0 vovod- .. 38.0 2 800.0 SmNd N098- :: 3 000.0 0:0 0000 x N: 03:88: 0:: .00 5:00:00: . . . . . 0w00000 0:0 00:00:03 60:32:08 30:00:60 003 o .. ~08 o _ :80 0 508 o 880 o w::30:030:0 00.: 0003005900 03:83: 300,—. 000.000 . . . . . 0 2308380 03:00:00: 00: some o .. Boo o : wnmm m: 030 o 9.5 o 0 >00 w::30:030:0 0000:0000 .«0 03:00: 0w000>< m:::0:m 9.3.0 .. Seed _ mmmwd «03.0 2.3: .o 0:030:00 =00 23:0 05 :23 0000000000 0m§Q . - . . . . 0:002:30 2308380 003 o .. 88 o _ 80m 0m 83 0 Sen 0. @0008 3 308000030 0 30:00:: 0008 00.0 000096 mmm _.o- a. good 2 030.9” 0086 2.8.0- 0w0 0350:0003: 3 0 a .00 003 .m.m m 03200> 00000.: . 002305380 0:00 0:0 00000—0? 30_ 2305308 00:03:00 3.003 :00300: 20%—0:0 :20000w00 000:»0. :_ 300:0 2003 2w£0 m:_0: 00>0:000 0230:0305 .00 000% 0:0 :23 0000000000 00m:00 0:0 0230:0305 03:00:00: .00 020 0:_w:0 0w000>0 0:0 :23 0030:0003 €300,330 0:0 3:305 3500:2005 00.0 00000000 :20000wo0 000304 .3 030:. 105 Initial Logistic Regression Model Diagnostics To assess nonlinearity in the logit, a Box-Tidwell transformation was made of the six independent variables, which were then added to the single block entry logistic regression model (Hosmer Lemeshow, 1989; Menard, 1995). Any transfonned variable that was statistically significant (p= <0.05) indicated nonlinearity (Menard, 1995). The results of this transfonned model showed that the average number of estimated days each household snowmobile was used during the winter of 1996-97 and the total household expenditures on snowmobiling that same winter were significant (Table 37). Contending with this issue can simply be a matter of rescaling the values of variables (Hosmer & Lemeshow, 1989). Consequently, the grouped values form of these independent variables presented in Tables 19 and 23, were transformed using the Box-Tidwell procedure and reapplied to the model. The grouping of the data follows the configuration used by Rowe Table 37 . Nonlinearity in the logit results using the Box and Tidwell transformation of the relevant predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. " Factor Variable B p Predisposing Respondent’s age 0.0285 0.4361 Support for more intensive enforcement of existing snowmobile regulations '0-3164 01507 Danger associated with the public trail conditions 0.0687 0.7730 Enabling Average number of estimated snowmobiling days per household snowmobile " ‘0-0141 0-0011 * Reinforcing Total household expenditures for snowmobiling 410001 0.0489 .. equipment, maintenance, insurance, and storage Proportion of the household 12 years and older With 0.6241 03443 a snowmobile safety class a. B = regression coefficients and p = sigm:ficance. . b. Averaged based on those snowmobiles used in Michigan during the 1996-97 wmter. "' Significance level of p5 0.05 indicates nonlinerarity of the logit. 106 and associates (1993). The results of this analysis are displayed in Table 38. In both cases, the grouped version of the total household expenditures independent variable (B= - 0.2778, p= 0.2385) and the average number of estimated snowmobiling days per household snowmobile (B= -0.4958, p= 0.1137) reduced the nonlinearity. Table 38. Nonlinearity in the logit results using the Box and Tidwell transformation of relevant and reconfigured predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. ' Factor Variable B p Predisposing Respondent’s age - 0.0293 0.4207 Support for more intensive enforcement of existing snowmobile regulations '0-3229 0.1433 Danger associated with the public trail conditions 0.0893 0.7078 Enabling Grouped average number of estimated snowmobiling days per household snowmobile ” ‘0-4958 (“137 Reinforcing Grouped household expenditures for snowmobiling _ equipment, maintenance, insurance, and storage ° 0'2778 02385 Proportion of the household 12 years and older with a snowmobile safety class 05237 0'3665 a. B = regression coefficients and p = significance. b. Average days categories: l= $5, 2= 6-10, 3= 11-20, 4= 21-30, and 5= 231. c. Expenditures categories: 1 = S $500, 2= $501-$2,000, 3= $2,001-$5,000, 4= $5,001- $10,000, 5= 2310,001. When both of these grouped variables are included in a logistic regression model using a single block entry procedure, they were determined to be significant factors differentiating 1996-97 convicted snowmobile law violators from other snowmobilers (Table 39). In this model, the Wald statistic for the grouped variable of the average number of estimated snowmobiling days per household snowmobile increased to 23.7754 from a value of 12.2278 from the previous model in Table 36. The Wald statistic for the 107 .000 00 0 808000000 .. 08.2% "0 08.000-08.00 n0 08.00-0800 um 0800-500 "0 .800 m u 0 “88038 023005900 .0 .SN "0 05 .020 "0 .00-: um 00-0 um .00 n: ”88028 0000 000022 .0 002000000 000200000 :00000 .I- 0 0000000000 u 0 800000.: :0 0000000 .I- :0 .0::0::0:0 0:03 n 00>» 082000000 50000000 .:0 00000 00000000 n.m.m 082000000 :0:0000w00 u m .0 000:0 30:00 23083000 0 0000.0- ... 2.8.0 : 00.2.0 003.0 0000.0- :0 3 00:0 000 0000» N: 03:33: 0:: .:0 000000000 . . . . . 0 000020 0:0 00000008 6000:2808 00080300 0000 0 _.. 0000 0 : 2mm N: 300 0 :00: 0 0003083000 00.: 0000000000000 0:0:0000: 0000000 00300040000: . . . . . .0 23083000 0:0:0000: 000 00:00 00:: 0 _.. 0000 0 : 00: mm 0000 0 000m 0 080308308 00:08:00 .:0 00:80: 00000 >0 0000000 0308'”: 0000.0 0 0.0000 : 020.:- 00000 20:0 0:200:00 000: 0:300 0:: :03 00:0:00000 00:09 . - . . . . 00002300 2308380 N00: 0 .. 0000 0 : wmw: mm 0000 0 0:0m 0- 0:00:00 .:0 8080000.:00 0:00:08: 0008 00.: :00000m 00~:.0- _._ 0000.0 : mmmmfim 0000.0 N080- 0w0 00000000000: wag-:3“ 0 0 00 .03 0.0 0 2000; 0.01:.00. 0: . 002308308 0050 0:0 000:0:0:> 30: 23083000 00:03:00 00-000: 000300: 0:00:80 020000000 2:200: :: x0000 0:003 200:0 00:00 0030:00> 000000-8000 000 083000 0800000000 00000000000 0:: :03 :0008 :000 00.: 0000080 :20000000 0:00:00: .0m 0300. 108 grouped total household expenditures also increased over its former version from 7.4831 to 12.3312. The inclusion of both these new variables resulted in much better model overall as the Mode X2 increased from 147.762 to 165.378, while the R2L also increased from 0.093 to 0.104. Collinearity between independent variables was assessed using the linear regression function of SPSS to calculate the tolerance statistic (Menard, 1995). Those variables with values less than 0.20 indicate a problem of collinearity (Menard, 1995). As indicated in Table 40, all of the independent variables had a tolerance statistic of 0.85 or greater. Thus, collinearity is not an issue with these data. Table 40. Colinearity results for the reconfigured predisposing, enabling, and reinforcing variables distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers. Factor Variable Tolerance Predisposing Respondent’s age 0.913 Support for more intensive enforcement of existing 0 845 snowmobile regulations ' Danger associated with the public trail conditions 0.977 Enabling Grouped average number of estimated snowmobiling O 949 days per household snowmobile ‘ ' Reinforcing Grouped household expenditures for snowmobiling 0 962 equipment, maintenance, insurance, and storage " ‘ Proportion of the household 12 years and older with O 986 a snowmobile safety class ’ a. Average days categories: 1= SS, 2= 6-10, 3= 11-20, 4= 21-30, and 5= 231. b. Expenditures categories: 1 = SSSOO, 2= $501-$2,000, 3= $2,001-$5,000, 4= $5,001- $10,000, 5= 2510,001. 109 The review of Studentized residuals for the seven independent variables revealed 45 cases with values that ranged fi'om 2.01 to 2.58. While values greater than £3.00 are considered a major concern, values greater than i 2.00 also should be reviewed for problems (Menard, 1995). Of the 45 cases, all were 1996-97 convicted snowmobile law violators who were identified in the logistic regression model as an other snowmobiler. A comparison of the means and percentage for the six independent variables between the 45 cases with Studentized residuals values greater than 2.00, all 1996-97 convicted snowmobile law violators, and other snowmobilers is displayed in Tables 41 - 43. As shown, the average age of the identified cases was 10 years older than the 1996-97 convicted snowmobile law violators and 6 years older than other snowmobilers. They also had slightly fewer household members take a safety class. These 45 respondents Table 41. Mean age and proportion of the household completing a snowmobile safety class between cases with Studentized residual values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 M cases Violators Others Variable (N= 45) (N= 360) (N=l,348) Predisposing 52 SE >‘< Respondent’s age 44.5 34.2 40.0 Reinforcing Proportion of the household 12 years and older 0 13 with a snowmobile safety class 0'14 0-17 were also much more likely to support more intensive law enforcement efforts and believe that the danger associated with the trail conditions is less serious than the other two groups. Moreover, this group also rode their household snowmobiles much less and spent less than either the 1996-97 convicted snowmobile law violators or other snowmobilers. 110 Table 42. Percentage of support for more intensive enforcement of existing snowmobile regulations and rating of the danger associated with the public trail conditions between cases with Studentized residual values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 Factor cases Violators Others Variable (N= 45) (N= 360) (N=l,348) Predisposing % % % Support for more intensive enforcement of existing snowmobile regulations Strongly supports 40.0 16.3 33.6 Moderately supports 28.9 18.0 25.5 Neutral 28.9 34.4 25.2 Moderately oppose 0.0 12.4 7.3 Strongly oppose 2.2 18.9 8.4 Danger associated with the public tr. conditions Extremely dangerous 0.0 10.9 4.5 Highly dangerous 6.7 10.9 9.7 Moderately dangerous 33.3 31.4 31.1 Slightly dangerous 44.4 30.0 32.9 Not dangerous 15.6 16.9 21.8 111 Table 43. Percentage of grouped average number of estimated snowmobiling days per household snowmobile and household expenditures for snowmobiling equipment, maintenance, insurance, and storage between cases with Studentized residual values greater than 2.00, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 E99191 cases Violators Others Variable (N=45) (N=360) (N=l,348) Enabling % % % Grouped average number of estimated snowmobiling days per household snowmobile 55 37.8 17.8 34.9 6-10 35.6 23.5 26.5 11-20 22.2 31.2 23.2 21-30 2.2 11.5 7.9 231 2.2 16.0 7.5 Reinforcing Grouped household expenditures ' 55500 55.6 23.4 36.2 $501-$2,000 15.6 16.4 19.7 2,001-$5,000 17.8 16.1 21.1 5,001-$10,000 11.1 30.7 22.3 2$10,001 0.0 13.5 9.7 a. Expenditures mcludes snowmobiling eqqument, maintenance, insurance, and storage. As noted previously, it is expected that a number of cases will not fit the model. This is because the definition of a 1996-97 convicted snowmobile law violator is of limited time duration. A convicted snowmobile law violator one year will not necessarily be a violator in another year. An individual may also have been cited and convicted of a violation simply as the result of unwitting action, not a deliberate attempt to break the law. The 45 cases appear to be a more conservative group than either the 1996-97 convicted snowmobile law violators or other snowmobilers. Hence, while these cases do not illustrate a problem with the data and thus are retained in this analysis, they do indicate a theoretical challenge for fimher research. 112 The analysis of leverage values, which indicate cases that may unduly influence the parameters of the model, highlights the variability of the respondents in each group (Hosmer & Lemeshow, 1989). In this analysis, 73 cases were found to have leverage values of greater than 0.012 (Menard, 1995). These 73 cases were almost equally split between the 1996-97 convicted snowmobile law violators and other snowmobilers. When comparing the means and percentages of the independent variables, some interesting patterns emerge (Tables 44 - 46). For instance, the cases with leverage values over 0.012 were younger, averaging 30.4 years old compared to 34.2 years for 1996-97 convicted snowmobile law violators and 40.0 years for the other snowmobilers. These 73 cases also had households with a much greater proportion completing a snowmobiling safety class. Table 44. Means for the general predisposing, enabling, and reinforcing variables between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 £10104 cases Violators Others Variable (N= 73) (N= 360) (N=l,348) Predisposing )’< >7 >‘< Respondent’s age 30.4 34.2 40.0 Reinforcing Proportion of the household 12 years and 0 43 0 14 0 17 older with a snowmobile safety class This younger group also had vastly differing views. They had little support for more intensive law enforcement, while their opinions about the danger of public trail conditions were much stronger than either the 1996-97 convicted snowmobile law violators or other snowmobilers. These 73 cases also had households with more days per snowmobile and higher annually non-trip related expenditures on snowmobiling. While these residual values point to cases that may adversely affect the result of the logistic regression model, it suggests that there is wide variation within each group. This implies overlap in group membership. 113 Table 45. Percentage of support for more intensive enforcement of existing snowmobile regulations and rating of the danger associated with the public trail conditions between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 5.3—CM cases Violators Others Variable (N= 73) (N= 360) (N=l,348) Predisposing % % % Support for more intensive enforcement of exrsting snowmobile regulations Strongly supports 12.3 16.3 33.6 Moderately supports 1 1.0 18.0 25.5 Neutral 24.7 34.4 25.2 Moderately oppose 13.7 12.4 7.3 Strongly Oppose 38.4 18.9 8.4 Danger associated with the public tr. conditions Extremely dangerous 43.8 10.9 4.5 Highly dangerous 8.2 10.9 9.7 Moderately dangerous 15.1 31.4 31.1 Slightly dangerous 11.0 30.0 32.9 Not dangerous 21.9 16.9 21.8 114 Table 46. Percentage of grouped average number of estimated snowmobiling days per household snowmobile and household expenditures for snowmobiling equipment, maintenance, insurance, and storage between cases with leverage values greater than 0.012, 1996-97 convicted snowmobile law violators, and other snowmobilers. Identified 1996-97 15% cases Violators Others Variable (N= 73) (N= 360) (N=l,348) Enabling °/o °/o % Grouped average number of estimated snowmobiling days per household snowmobile $5 13.7 17.8 34.9 6-10 2.7 23.5 26.5 11-20 16.4 31.2 23.2 21-30 16.4 11.5 7.9 231 50.7 16.0 7 .5 Reinforcing Grouped household expenditures ’ 55500 20.5 23.4 36.2 $501-$2,000 13.7 16.4 19.7 2,001-85,000 11.0 16.1 21.1 5,001-810,000 31.5 30.7 22.3 2810,00] 23.3 13.5 9.7 a. Expenditures includes snowmobfling equipment, maintenance, insurance, and storage. The analysis of the dbeta values, which also indicates the influences of a particular case, did not identify observations with a value more than one (Menard, 1995). Initial Logistic Regression Analysis gummy The initial logistic regression analysis to identify those independent variables that best differentiate 1996-97 convicted snowmobile law violators from other snowmobilers encompassed two steps. In the first step, the backwards likelihood-ratio stepwise variable selection approach was employed with all cases and the fifteen statistically significant variables identified in the univariate analysis. To substantiate those independent variables selected in the backwards stepwise logistic regression model, a second model was computed using a single block entry procedure. 115 From the backwards likelihood-ratio stepwise variable selection model, eight independent variables differentiated 1996-97 convicted, snowmobile law violators fiom other snowmobilers. Of these, age was the best discriminator, followed by the variable defining the respondent’s support for more law enforcement. The average number of estimated snowmobiling days per household snowmobile and the assessment of the danger associated with trail conditions were the next best at discriminating these two groups. In addition to these independent variables, the total household expenditures for snowmobiling equipment, maintenance, insurance, and storage as well as the proportion of the household 12 years and older with a snowmobile safety class were also identified. Finally, the assessment of the danger associated with the speed of snowmobiles and average engine size of household snowmobiles were also slightly significant in the backwards stepwise logistic regression model. However, both of these variables were found to be insignificant discriminators in the single block entry logistic regression model. Yet when multiplied together and incorporated as an interacting term in the logistic regression model, they were found to be statistically significant. In spite of this, the interacting term did little to improve the overall model and thus was eliminated. The single block entry logistic regression model and six independent variables differentiating 1996-97 convicted snowmobile law violators from other snowmobilers were further scrutinized in a series of diagnostic procedures. In this phase, both the average number of estimated snowmobiling days per household snowmobile and the total household expenditures for snowmobiling equipment, maintenance, insurance, and storage were detected as having a nonlinear relationship with the dependent variable, but this was remedied by rescaling them to five ordinal categories and reentering them in the single block entry LR model (Table 39). 116 Of these six final independent variables, support for more intensive enforcement of existing snowmobiles regulations (W2k= 35.1838, p= 0.0000) was best at differentiating 1996-97 convicted snowmobile law violators from other snowmobilers. As hypothesized, 1996-97 convicted snowmobile law violators were less supportive of enforcement than other snowmobilers. Second most significant was respondent’s age (W21,== 27.3353, p= 0.0000). Here 1996-97 convicted snowmobile law violators were younger than their counterparts. The grouped average number of estimated days each household snowmobile was used (W2,= 23.7754, p= 0.0000); spending on snowmobiling equipment, maintenance, insurance, and storage costs (W2k= 12.3312, p= 0.0004); the danger of public trail conditions (W2k= 7.6335, p= 0.0057); and the proportion of the household completing a snowmobile safety course (W 2,= 4.3370, p= 0.0373) round out the rest of the independent variables. Convicted snowmobile law violators are likely to snowmobile more, spend more on snowmobiling, rate public trail conditions as more dangerous, and be least likely to have someone in their household with a snowmobile safety course than other snowmobilers. Analysis of the residuals from the single block entry LR model identified relatively significant numbers of high Studentized residuals and leverage values. This suggests that a notable proportion of the 1996-97 convicted snowmobile law violators and other snowmobilers, while defined as members of each exclusive group, could be characterized as a member of the other group in a future or past year. A more detailed analysis of the model’s ability to discriminate between the groups will be conducted in a subsequent section. 117 Phase 3: Logistic Regression Analysis: Model Discrimination The performance of the model is firrther assessed for accuracy in distinguishing 1996-97 convicted snowmobile law violators and other snowmobilers by examining predicted and observed group membership. However, since there are many other snowmobilers versus fewer 1996-97 convicted snowmobile law violators, the classification outcome is potentially compromised as most individuals will be classified in the larger group (Morrison, 1969). As a result, the total number of 1996-97 convicted snowmobile law violators cases used in testing the model was applied to derive the appropriate sample size for each group. All 1996-97 convicted snowmobile law violators were included, while a random selection procedure was used to generate a comparably sized sample of other snowmobilers. This resulted in a sample of 321 cases for each group. The model’s ability to discriminate was evaluated using a classification table, a histogram of estimated probabilities, and the c statistic. These were computed or derived from the results of the single block entry logistic regression model with the final independent variables identified in Table 39. The classification table distinguishes both the observed and predicted group membership. A predicted probability value of 0.5 or greater was used to classify the case as a snowmobile law violator, while less than 0.5 indicated an other snowmobiler. A histogram of predicted probability is used to show where the cases fall along the distribution. Finally, the c statistic is used to assess the significance of the model’s capability in distinguishing between the two groups. In order to calculate the c statistic, the predicted probabilities (ranging from 0 to 1) are divided by 0.00005 to create a new variable that groups the predicted probabilities into a large number of distinct groups (Norusis, 1997). This is then used in a cross-tabulation with the actual group membership (dependent variable) to calculate a Somers’ (1 statistic. Somers’ d is then divided by two 118 and 0.5 is then added to the quotient to derive the c statistic (Norusis, 1997). Its value ranges from 0.5 to 1.0. A value of 0.5 suggests the model has no predictive ability and a value of 1.0 that is 100% accurate in the model assigns higher probabilities to cases with the event (being a violator) than without (Norusis, 1997). Model Discrimination The classification table for the final logistic regression model between 1996-97 convicted snowmobile law violators and other snowmobilers shows approximately two- thirds of the cases correctly classified (Table 47). The model classified slightly more other snowmobilers correctly (220 or 68.5%) than 1996-97 convicted snowmobile law violators (212 or 66.0%). Table 47. Classification table for the final independent variables logistic regression model using single block entry between 1996-97 convicted snowmobile law violators and other snowmobilers. ' Predicted 1996-97 Violators Others Observed (N= 321) (N= 321) N % N % 1996-97 Violators 212 66.0 109 34.0 Others 101 31.5 220 68.5 a. Cut-oil value rs 0.50. Figure 3 is a histogram of predicted probabilities comparing the distribution of the observed and predicted group membership. Nearly half of the other snowmobilers incorrectly classified as snowmobile law violators fell between a predicted probability of 0.5 to 0.59, while less than 10% of other snowmobilers have predicted probabilities of 0.7 or better (Table 48). There is a sirrrilar pattern for 1996-97 convicted snowmobile law violators as nearly 80% of misidentified convicted snowmobile law violators had predicted probabilities between 0.30 to 0.48 with about equal proportions classified between 0.30-0.39 and 0.40-0.48. This distribution confrrms the findings from the 119 +HHH+HHH+HHH+HHH 82335 833 Be 9.80 8288 do Sameam .m 2&3 .880 mm; figmoaom 32.—Sm nonm— fiofi—oE 33 3305305 38:68 363— I > fiBEoEBoE .850 I Z ”235% .2. m_ .8333 32 ozpoEBoam 33:68 3-32 a ma QEEonEoE tom—338a 38:65 05 SH 33> been". on... unsouo H m. m. b. m. m. o. n. N. H. o "noun .......... +---------+------u--+------r--+---------+---------+---------+---------+---------+--------- couuHooum z 2 H 2 H g>>§>§§>§z§§zz>zzz§>zz>>zzzz>zz§z>zz§zzzzzzzzzzzzz>zzzzz H >>>>> >z>>>>>z>>>>>>z>zzzz>>zz>>z>>z>>2222>zzzz>zzzzz>zz>zzzzzz>zz +m >>>> >>>>>>>>>>>>>>>>zz>>z>>z>>z>>zzzz>zz>z>zz§>zz>zz>zzz>zz H Hr >>> >>>>>>>>>>>>>>zz>>z>>>>z>>>>>z>z>>>zz>z>zz>z>zz > H 0 >> >> >> >>>>>>z>>z>>> >>>>>>>>>>>>z> >2 H z > >> >>>>> >>>> >>>>> >>>>z> z +OH m > >>>>> >> >>>> >>z> > H D > >>>>> >> > >> H O > > > H m > > +mH m > H m > H H + on 120 analysis of the residuals, which suggested that a notable proportion of the 1996-97 convicted snowmobile law violators and other snowmobilers, while defined as a member of the group, can be characterized as a member of the opposite group. Table 48. Distribution of predicted probabilities for the final independent variables logistic regression model using single block entry between 1996-97 convicted snowmobile law violators and other snowmobilers. 1996-97 Violators Others Predicted Probabilities (N= 321) (N= 321) N % N % 0.0 - 0.09 0 0.0 2 0.6 010-019 4 1.2 33 10.3 0.20 - 0.29 19 5.9 64 19.9 0.30 - 0.39 39 12.1 61 19.0 0.40 - 0.49 42 13.1 57 17.8 0.50 - 0.59 59 18.4 47 14.6 0.60 - 0.69 52 16.2 27 8.4 0.70 - 0.79 51 15.9 20 6.3 0.80 - 0.89 49 15.3 8 2.5 0.90 — 1.00 6 1.9 2 0.6 In all, the c statistic indicates that in 74% of all possible pairs of cases, the five independent variables assign a higher probability of being a 1996-97 convicted snowmobile law violator to cases that are in fact violators. In other words, the model is moderately better than chance at distinguishing between cases in these two groups. Model Discrimination Summa_ry With two-thirds of the cases correctly classified, the model is considered moderately successful in discriminating between 1996-97 convicted snowmobile law violators and other snowmobilers. However, a sizable proportion of the cases were incorrectly classified. This suggests that while a given respondent may be defined as either a 1996-97 convicted snowmobile law violator or other snowmobiler, they may characterized as a member of the opposite group at another time or in different circumstances. 121 This may be due to a number of factors. First, by definition, 1996-97 convicted snowmobile law violators were only defined based on one winter’s behavior and their apprehension and conviction by enforcement and judicial officials. Hence, some proportion who violate the law are not caught in a given year. Convicted snowmobile law violators also range from deliberate (conscious and lacking respect for authority), to situational (would not normally violate but circumstances influenced it), to unwitting (would not knowingly violate). This conclusion corroborates the results of the analysis of Studentized residuals and leverage values. A subsequent comparison of those cases with extreme values to their respective group found many differences (Tables 41- 46). For instance, those cases with high Studentized residuals were all 1996-97 convicted snowmobile law violators classified as an other snowmobiler since they were older, snowmobiled less, and were more likely to support increased law enforcement. These present a classic picture of the unwitting violator. As for those cases with high leverage values, these respondents were on average younger, snowmobiled more, and were less supportive of more law enforcement than either group. These present a profile of violators, some of whom were cited and convicted in winter 1996-97. 122 CHAPTER SEVEN SUMMARY, IMPLICATIONS, AND CONCLUSION Stud Back und In the 1990’s, more snowmobiling and snowmobile accidents, coupled with expanded trail facilities, renewed snowmobiler safety concerns that had declined during the slump in snowmobiling in the 1980’s. Attempts to curb accidents through the institution and enforcement of safety regulations have only had moderate success, due to limited law enforcement personnel, budget restrictions, and snowmobiler apathy toward the regulations. The situation is further complicated by a lack of knowledge about influences and circumstances that predispose, enable, and reinforce risky and illegal snowmobiling behaviors. Typically, the research concerning the safety of snowmobilers has been limited to descriptions of accident circumstances. Those few studies designed to distinguish underlying factors that influence aberrant snowmobile behaviors are outdated and restricted to comparisons between snowmobile accident and non-accident victims. Accordingly, this study attempts to identify salient variables that discriminate between known convicted snowmobile law violators and other snowmobilers to create a profile of snowmobilers who are known to violate snowmobile laws. To accomplished this, 983 individuals cited by the DNR-LED in winter 1996-97 and convicted for a snowmobile safety violation and a sample of 3,325 other snowmobilers who purchased a 1996-97 Michigan Snowmobile Trail Permit and were not cited by the DNR-LED during winter 1996-97 were compared using a comprehensive mail questionnaire. Of those surveyed, 39.8% of the 1996-97 convicted snowmobile law violators and 48.7% of the other snowmobilers responded to the questionnaire. 123 Summm of Univariate Analysis Findings The factors hypothesized to differentiate 1996-97 convicted snowmobile law violators from other snowmobilers were conceptualized using the PRECEDE Model, which postulates that our behaviors are influenced by predisposing, enabling, and reinforcing factors Nullen et al., 1987). These potential factors were derived from studies examining snowmobiling accidents and folk crime research comparing traffic and fish and game law violators and non-violators. Initial descriptive and likelihood ratio statistics on the variables identified a number of distinctions among the two groups. Predisposing Factors In the PRECEDE model, predisposing factors refer to what an individual brings to an experience. These would include age, knowledge, attitudes, beliefs, and perceptions that either support or inhibit a given behavior. In this study, 1996-97 convicted snowmobile law violators were found to be on average, nearly six years younger than other snowmobilers. This is consistent with previous snowmobile, traffic safety, fish, and wildlife research (Dewar, 1973; Anderson, 1987; James et al., 1991; Elander et al., 1993). Convicted snowmobile law violators also had differing perceptions of danger relating to risky behaviors and situations. For instance, they regarded trail conditions and the presence of non-motorized users on the trails as more dangerous than did other snowmobiling, snowmobiling on roadways, and the presence of other vehicles on seasonal roads as less dangerous. Such perceptions are consistent with the behaviors of injured snowmobilers reported in past studies. They tended to operate their snowmobiles at greater speeds and consume more alcohol while snowmobiling than those not involved in accidents (Waller & Lambom, 1975; Rowe et al., 1993). Similar perceptions and behaviors of violators have been noted in studies comparing traffic law violators and non- 124 violators as well as those involved and not involved in an automobile accident (Evans & Wasielewski, 1982; Donovan et al., 1983; Mortimer, 1988; Dejoy, 1992). Along with perceptions of risk that differed fiom other snowmobilers, 1996-97 convicted snowmobile law violators were less supportive of selected proposed initiatives to reduce fatalities. This was especially true for increased enforcement of existing snowmobile regulations. This is similar to the results of Andersen’s (1987) work with deer poachers and Cox and White’s (1988) work with traffic law violators. In general, most folk crime law violators oppose management actions, law enforcement, and statutes regulating behaviors (Melynk, 1977; Mayer & Treat, 1977; Kanellaidis et al., 1995). Enabling Factors Enabling factors are depicted as objective characteristics, such as level of participation and snowmobile attributes, that provide a potential means to deviant behaviors. Results showed that 1996-97 convicted snowmobile law violators snowmobiled more than other snowmobilers. This was also true in studies comparing injured and uninjured snowmobilers (Waller & Lambom, 1975; Rowe et al., 1993). Moreover, Gray and Kaminski’s (1994) comparative study of hunters found that violators of wildlife laws hunted more days than non-violators. Likewise, comparative studies of traffic law violators and non-violators have often found that violators tend to drive more miles in a given year (Reason et al., 1990; Kanellaidis et al., 1995). While there is considerable debate about the role high performance snowmobiles play in contributing to deviant behaviors and accident proneness, these data indicate that 1996-97 convicted violators own and use more powerful snowmobiles than their counterparts. While higher horsepower snowmobiles differentiated injured and non- injured snowmobilers in Waller and Larnbom’s (1975) study, Rowe and associates (1993) did not find a significant difference. Higher performance being associated with accidents 125 also has some support in automobile (Rothengatter, 1988) and motorcycle (Jonah et al., 1981) literature. Reinforcing Factors Reinforcing factors are those that stimulate behavior, whether as an incentive or pmrishment. These might include personal support networks, devotion to the activity, and education related to the activity. Of the four variables hypothesized to differ among groups, two were deemed insignificant. Curcione (1992) and Forsyth and Marckese (1993) found that hunting violators were not only introduced to the activity, but exposed to deviant values and situations, by family members. Consequently, the proportion of the household 12 years and older that snowmobiled during the winter of 1996-97 was hypothesized to be greater among convicted snowmobile law violators than other snowmobilers. However, no statistical difference was found between the groups. Secondly, while there are conflicting conclusions among researchers, wildlife law violators are considered to be more devoted to their sport than non-violators since they practiced more and utilized more tools and information in hunting (Jackson et al., 1979). The total number of snowmobiles owned by the household and total annual household expenditures on snowmobile equipment, maintenance, insurance, and storage were used to represent devotion to the sport of snowmobiling. Of these, total number of household snowmobiles was similar among the groups and thus statistically insignificant. However, 1996-97 snowmobile law violators were found to have significantly higher total annual household expenditures than other snowmobilers. This contrasts with Shafer and his colleagues’ (1972) findings of no difference in hunting equipment investments. In addition to the significant difference in spending, 1996-97 snowmobile law violators had fewer household members completing a snowmobiling safety class. 126 Summgy of Logistic Regression Analysis Findings To fulfill the first two objectives of this study, a series of logistic regression models and diagnostics calculations were conducted. The regressions used the significant hypothesized variables identified in the univariate analysis to ascertain which best differentiated 1996-97 convicted snowmobile law violators from other snowmobilers and predicted their group membership. Based upon this analysis, a total of six independent variables were found to best distinguish 1996-97 convicted snowmobile law violators fiom other snowmobilers. Given its significance in the descriptive analysis, the best discriminator among these six variables was that measuring support for more enforcement of existing regulations. Convicted snowmobile law violators were much less likely than other snowmobilers to support increased law enforcement as a means to help reduce incidents of fatal accidents. This coincides with the claims of other researchers that citizens who have had contact with police and/or received a citation generally have a more unfavorable attitude toward police officers than those who have not had contact (Cox & White, 1988). This may be especially relevant in this study, since over a third of 1996-97 convicted snowmobile law violators who provided a rationale for their support or the lack of it for more snowmobile law enforcement considered the officer to be rude and overzealous (Nelson et al., 1998). Secondly, as one might expect based upon folk crime violator and non-violator comparative studies, the next best discriminator was the age of the respondent. In this study, 1996-97 convicted snowmobile law violators were younger than their counterparts. Some researchers have suggested that it is not so much the age of the individual that is the cause, but rather some combination of the younger adult’s tendency to engage in risky and illegal behaviors and lack of experience (W allach & Kogan, 1961; Jonah, 1986). Yet, the focus of this assertion generally revolves around the 16-25 year olds. In this snowmobile study, the average age of the 1996-97 convicted snowmobile law violators 127 was 34 years old, 6 years younger than the other snowmobilers. Presumably this group should be less apt to engage in such risky activities. Yet, those aged 14-25 accounted for only 18% of the 1996-97 convicted snowmobile law violator respondents, while 26-35 years old accounted for 42% of this group. It is likely that snowmobile use and ownership is skewed to older individuals than are driving a car or violating games laws. Next, 1996-97 convicted snowmobile law violator households rode their snowmobiles more often than other snowmobilers. This enabling characterization is consistent with other comparative studies between folk crime violators and non-violators (Waller & Lambom, 1975; Reason et al., 1990; Rowe et al., 1993; Gray & Kaminski, 1994; Kanellaidis et al., 1995). The fourth most significant discriminator was total household expenditures for snowmobile equipment, maintenance, insurance and storage. Convicted snowmobile law violators spend nearly a third more than other snowmobilers. Fifth, 1996-97 convicted snowmobile law violators rated trail conditions as more dangerous than did other snowmobilers. Interestingly, in the initial backward variable selection LR model, the speed of snowmobiles was another significant variable that was considered less dangerous by 1996-97 convicted snowmobile law violators. While this variable was found to be an insignificant discriminator in the single block entry model, one could argue that 1996-97 convicted snowmobile law violators perceptions about the speed of snowmobiles could dictate to some degree their perception of trail conditions. For instance, the greater the speed of the snowmobile, the more likely that imperfect conditions will manifest themselves leading to the appearance of poor trail conditions. Moreover, this perspective suggests that 1996-97 convicted snowmobile law violators view accident factors beyond the operator’s control (e.g., trail conditions) as more meaningful than those factors that result from controllable behavior choices (e.g., speed), which is consistent with the conclusion reached by Donovan and others (1983) in a synthesis of traffic safety research. 128 Lastly, the least significant independent variable that differentiated these two groups was the proportion of the household completing a snowmobile safety class. In this case, 1996-97 convicted snowmobile law violator households had a smaller proportion completing a snowmobile safety class. Overall, based upon the LR model, the 1996-97 convicted snowmobile law violators were younger, snowmobiled more, spent more on snowmobiling, were more critical of law enforcement and trail management, were more likely to perceive the dangers of snowmobiling as someone else’s failure rather than theirs, and household members were less likely to have taken a safety class. The model correctly classified about two-thirds of 1996-97 convicted snowmobile law violators and other snowmobilers. Hence, while this successful classification rate was significantly better than chance, it was a less than perfect classification tool. Study Implications and Recommendations Two fundamental implications emerge from the univariate and LR modeling analyses differentiating 1996-97 convicted snowmobile law violators from other snowmobilers. First, many of the same variables that were significant discriminators of these two groups parallel those distinguishing snowmobilers involved in snowmobiling accidents from those not involved (Waller & Lambom, 1975; Rowe etal., 1993). This study suggests a link between many snowmobiling accidents and risky and illegal behaviors (Rowe et al., 1993). Furthermore, these factors appear to mirror many of the characteristics differentiating other folk crime law violators from non-violators suggesting that similar influences and circumstances may be at the foundation of deviant behavior. 129 Secondly, this study also provides vital and timely knowledge for those administering snowmobile programs. The distinguishing variables, particularly the six variables gleaned from the LR modeling analysis that best differentiated these two groups of snowmobilers, provide invaluable insight into the fundamental influences and circumstances snowmobile program administrators face in safeguarding snowmobilers, bystanders, and the environment. As a rule, neither of the six variables necessarily improves law enforcement’s ability to identify potential snowmobile law violators in field settings, however they still present administrators with some useful information in developing intervention strategies that may help mitigate risky and illegal snowmobile behaviors. Just as this research has shown that a snowmobiler’s choice to engage in risky and illegal behaviors arises from a diversity of interconnected factors, any intervention strategies devised to alleviate such behaviors must not only be integrative and comprehensive, but must also mirror these interactive factors (Rowe et al., 1993). However, a few points regarding these convicted violators need to be clarified. First, snowmobile law violators are a minority of total snowmobilers. Based on the number of citations issued, most snowmobilers conduct themselves in an appropriate manner while snowmobiling. Secondly, the definition used to delineate 1996-97 convicted snowmobile law violators from the other snowmobilers was based upon one winter’s behavior as well as their apprehension by Conservation Officers and conviction by judicial officials. Given the constraints facing law enforcement, data for a single season cannot ‘catch’ all the law violators. Consequently, those other snowmobilers, while depicted as ‘non-violators,’ were characterized in the LR modeling process as convicted snowmobile law violators and thus may represent ‘potential violators’ that were not caught in winter 1996-97. Lastly, research from other folk crimes has revealed, as data from this research suggest, that the act of violating arises from a host of underlying motives and situational circumstances (Gibbions, 1983; Gramann & Vander 130 Stoep, 1987; Reason et al., 1990; Goldstein, 1996). As a result, there is a wide variety of circumstances associated with violators. For instance, some violations may arise because the snowmobiler is unaware of the regulations, such as operating a snowmobile in a restricted area that is not adequately posted. Moreover, there are others that may be aware of the regulations but unwittingly deviated fi'om them, such as operating with a tail light burned out. Still further, there are those that willingly violate regulations, but rationalize it as necessary because they saw no other alternative. An example would be snowmobiling on a public road, even if illegal, in order to obtain gasoline. Such sorts of violations might explain some of the 1996-97 convicted snowmobile law violators that did not fit the model well, particularly the 45 cases with high Studentized residuals. These 1996-97 convicted violators were older, less active in snowmobiling, and were more likely to support increased law enforcement. In addition to these violators, there are those that are clearly deliberately intentional, such as racing down a road merely to see who can go the fastest. Such violators appear to correspond with those 1996-97 convicted snowmobile law violators with high leverage values. They were on average younger, more active in snowmobiling, and were less supportive of more law enforcement than 1996-97 convicted snowmobile law violators as a whole. As a result of these different types of violations, intervention strategies must cover the gamut, targeting the unwitting violators, those that violate only by “necessity” (situational), and the willful violator (Rowe et al., 1993). In addition, these intervention strategies must be integrative so that a number of tactics are being used concurrently. Such intervention strategies might include dissemination of information, education, law enforcement, legislation, and management actions. 131 Dissemination of Information Communicating information regarding snowmobile safety regulations, the consequences of risky and illegal snowmobiling activities, and the details of snowmobile accidents would be useful to both unwitting and situational snowmobile violators to help acquaint them with the hazards of snowmobiling and perhaps stimulate them to engage in more acceptable legal and safe snowmobiling behaviors. This is because 1996-97 convicted snowmobiler law violators generally had inaccurate perceptions about the dangers of risky snowmobiling behaviors and situations. Moreover, it appears that they are not necessarily so cognizance or adept as other snowmobilers at recognizing the inherent consequences of their actions. Which may perhaps in part be related to a lack of knowledge about the situation. There are a number of mechanisms to disseminate such information. For instance, in order to operate on public lands and frozen waters in Michigan, all snowmobiles must have an annual Michigan Snowmobiling Trail Permit. The point of sale for these permits provides a good opportunity to distribute a concise outline of snowmobiling regulations and other pertinent information, such as a summary of fatal accident circumstances from the pervious year. Presently, no such information is provided. It could be modeled after hunting and fishing pamphlets. This information booklet should also be provided with any snowmobile registration. The booklets should also be made available for distribution to business establishments, such as restaurants, sporting good shops, hotels, gas stations, etc. Since many younger snowmobilers have access to and readily utilize the intemet, information such as the consequences of risky and illegal snowmobiling activities and the details of snowmobile accidents can be published on web pages. Another underutilized means of getting the message out could be through the use of billboards and other promotional materials made available to establishments that cater to snowmobilers. The International Snowmobile Manufacturers Association (ISMA) has developed a safety and 132 rider responsibility campaign using posters and other literature. These are made available to the public free of charge. Regulatory agencies and the manufacturing industry could combine efforts and jointly publish such information with other snowmobile organizations and clubs. The ISMA has also developed a short safety video entitled ‘Safe Ridersl,’ that provides a basic overview of riding responsibilities and proper techniques. Given the number of snowmobile clubs and organizations around the state that could gain access to schools and civic organizations, this could provide another positive means of getting the message out, especially if the message was tailored to Michigan snowmobiling. The DNR-LED has also undertaken an initiative to improve snowmobile accident reporting so that more detailed and timely information is gathered. All available efforts should be made to summarize this information and make it more readily available, especially to the media including newspapers, magazines, and television. Other opportunities to promote safe snowmobiling exist through television weather forecasts providing a snowmobile safety tip or a public service announcement at the conclusion of their weather forecasts. While this is not an exhaustive list of mechanisms to disseminate information, it offers a set of ideas that could be incorporated relatively inexpensively. The key is to explore and develop partnerships with communicators of information to effectively disseminate information to the snowmobiling public. Education Besides disseminating information, a formal education program can also serve as a mechanism to positively influence and perhaps modify predisposing factors, especially for unwitting and situational violators. This is especially relevant since the LR model found that 1996-97 convicted snowmobile law violators were generally younger and had fewer household members who had completed a snowmobile safety course. Moreover, a majority of 1996-97 convicted snowmobile law violators (64%) and other snowmobilers 133 (72%) supported mandatory snowmobile safety education and certification. While the State of Michigan currently offers a snowmobile education program, it is voluntary and targeted at snowmobilers under 18 years old. Given that Michigan requires all individuals to pass an education/training course to operate an automobile and to hunt, it seems reasonable that similar requirements be extended to all first time snowmobilers regardless of age. Hunter education, which is given partial credit for reducing hunting accidents state and nationwide, provides both information and positive reinforcement to encourage good or proper behavior. The snowmobile program should be modeled after this program. Law Enforcement Enforcement of regulations is intended to control and eliminate illegal behaviors by encouraging individuals to act responsibly, while making explicit the prohibitions against and the consequence of undesirable behaviors (Anderson et al., 1998). Because a uniformed law enforcement officer is easily recognizable in recreation settings, they are generally believed to be effective deterrents to non-compliant behaviors (Rowe et al., 1993; Swearingen & Johnson, 1995; Anderson et al., 1998; Duda et al., 1998). As a result, enforcement of safety regulations is often one of the most popular and common responses to modifying risky and illegal behaviors in recreation settings (Rowe et al., 1993). In fact, when the other snowmobilers were asked to rate possible initiatives to reduce snowmobiling fatalities, 60% were strongly or moderately supportive of more intensive enforcement of existing snowmobile regulations. Other snowmobile studies have noted the same desires (Rowe et al., 1993; McElvany, 1994) as have studies of hunters and fishermen (Purol etal., 1978; Responsive Management, 1993; Gray & Kaminski, 1994). 134 In many regards, law enforcement is an effective approach for the unwitting and situational violators as well as the willful violator. Studies of traffic violations have shown that the visible presence of a law enforcement officer reduces incidences of violations, but as visibility is reduced violations increase to their former levels (Shinar & McKnight, 1985). The study of Michigan snowmobiling during the winter of 1996-97 found that nearly a third of the households reported that at least one member was stopped by a law enforcement officer, while over half of the households had at least someone who saw an officer while snowmobiling (Nelson et al., 1998). In spite of their apparent visibility, there are still challenges for snowmobile law enforcement. For example, limited budgets and personnel, coupled with a massive land base, limits the time that any given trail or frozen lake can be patrolled. In 1999-2000, increased funding for the Michigan Snowmobile Enforcement Grant Program, which provides matching monies to county sheriff, city, village, and township police departments to assist their enforcement efforts, increased local law enforcement presence. Perhaps some of this money should be used to develop memorandums of agreements or understandings with these other jurisdictions to create joint data bases and sharing information. In other recreation settings, non-enforcement trained volunteer safety patrols have been used effectively to aid in controlling and eliminating non-compliant behaviors (East Bay Regional Parks, 1991; Moore, 1994). In Michigan, a volunteer Off-Road Vehicle (ORV) Safety Patrol has been established for some ORV trails. This trained group has no law enforcement authority, but does act as law enforcement eyes and ears with the ability to contact officers and provide on-site information and education resources. This program could be adapted to snowmobiling. In some cases, these programs do provide targeted, limited law enforcement authority, such as the Snowmobile Trail Officer Program (STOP) in Sudbury, Ontario, Canada. In this program, individuals are given extensive 135 training and are designated as special constables and Provincial Offenses Officers to assist law enforcement officers on the snowmobile trails (Rowe et al., 1993). In spite of visible enforcement efforts, law enforcement alone may not necessarily be effective with the willful violator group. They were much less supportive of law enforcement than others and tended to avoid times or areas where law enforcement officers are patrolling. Consequently, low profile enforcement, such as undercover operations where officers patrol without uniforms or marked snowmobiles, may be necessary. Additionally, officers may be able to use surveillance tactics in known trouble spots to apprehend willful violators. Moreover, one could argue that some of this disrespect towards law enforcement may be related to violators’ treatment by officers. As noted previously, over a third of 1996-97 convicted snowmobile law violators who provided a rationale for their rating of current snowmobile law enforcement considered the officer who contacted them to be rude and overzealous (Nelson et al., 1998). The image and effectiveness of law enforcement go hand in hand. As a result, law enforcement officers should make every possible effort to develop a positive approach to contacts rather than alienate snowmobilers. They can also use positive reinforcing tactics. For instance, law enforcement officers in Sudbury, Ontario rewarded non-drinking snowmobilers with license holders bearing the message “thanks for being a safe and sober snowmobiler” (Rowe et al., 1993). Similar means can also be applied with those who are stopped and found to have been obeying all laws. Additionally, expanding the efforts of law enforcement should be tied to a safety promotion campaign. For example, changes in Michigan’s drinking and driving laws in 2000 were accompanied with an extensive public announcement program. There have been similar updates in Michigan’s snowmobiling law, including points added to the driver’s license and/or the confiscation of driver’s license for those snowmobilers convicted of operating under the influence of alcohol. 136 Legislation and Regulations An important component to ensuring the safety of snowmobilers has been and will continue to be the institution and improvement of operation and safety regulations (U SDI, 1971). Yet, merely imposing regulations does not guarantee their success in modifying risky and illegal behaviors. Pertinent regulations, particularly those that are linked to direct benefits, such as increased snowmobiler safety or the elimination of a particular behavior that interferes with the freedom and enjoyment of others, would be more accepted (Lucas, 1983). Communicating the rationale and informing all of the regulations, especially new ones, is also paramount in helping gain compliance (Anderson et al., 1998). Consequently, imposing new regulations should be part of an overall comprehensive intervention strategy that needs to include an information campaign and consistent enforcement. Finally, it also helps if the regulation is targeted at a particular group that is properly defined. For example, a speed limit regulation may target a designated trail system and those snowmobilers who engage in racing there. Possible new legislation and regulations might include tougher penalties for selected violations, requiring personal liability insurance, and imposing speed limits at defined locations that would be applicable for all violators, but especially the willful violator. One of the most frequently cited factors associated with snowmobiling accidents has been alcohol use (Wenzel & Peters, 1986; James et al., 1991; Rowe et al., 1992; Rowe et al., 1993; Avis, 1994; Rowe et al., 1994; Nelson et al., 1998). Based upon the data in this study, it appears that most snowmobilers are aware of the dangers of operating a snowmobile while intoxicated. Eighty-six percent of the 1996-97 convicted snowmobile law violators and 89% of the other snowmobilers rated it as extremely or highly dangerous. Moreover, 30% of the 1996-97 convicted snowmobile law violators and 38% of other snowmobilers also considered the operation of a snowmobile by an individual who has been drinking, but was not intoxicated, as extremely or highly dangerous. 137 Rowe and colleagues (1993, p. 22) assert that snowmobilers “have a fair grasp of alcohol effects and generally are aware of the risks associated with snowmobiling and drinking.” However, they go on to conclude that this apparent knowledge does not necessarily translate into appropriate behaviors and that simply educating snowmobilers about the effects of alcohol use will not necessarily bring about a behavior change (Rowe et al., 1993). Many of the other snowmobilers in the current Michigan study suggested imposing tougher penalties, such as adding points to the driver’s license and confiscation of driver’s license or snowmobile for those convicted of operating under the influence of alcohol (Nelson et al., 1998). Imposing stricter penalties has been found to be effective in deterring drinking and driving behaviors (Rowe et al., 1993) and with serious hunting violations (Hall, 1992). As a result, Michigan Public Act 451 (Natural Resources and Environment Protection Act), was amended by Public Act 43 of 1999, to allow law enforcement officers to confiscate a snowmobiler’s driver’s license if they were operating a machine under the influence of alcohol. In addition, Michigan Public Act 300 (Michigan Vehicle Code Act) was amended by Public Act 21 of 1999 to add points to a snowmobiler’s driver’s license for operating under the influence of alcohol while snowmobiling. While such regulations are an improvement, perhaps they should be extended to other moving violations, such as operating on a roadway, or specific road right-of-way violations, such as operating against flow of traffic, not in a single file, not at the extreme right, etc. In cases where the adoption of a new regulation is necessary to help modify risky and illegal behaviors, it is suggested that the regulations’ effect be broadly targeted at those who regularly violate the law (Anderson et al., 1998). For instance, penalties added to driving records would not only affect an individual’s ability to drive, but they would also affect their insurance rates. Allowing the market forces in the insurance industry to financially discourage bad behavior may help alleviate problems. Many consider this a viable means to achieving an end, as 45% of the 1996-97 convicted snowmobile law 138 violators and 59% of the other snowmobilers strongly or moderately supported mandatory personal liability insurance for all who snowmobile in Michigan. Another frequently cited, but less understood, factor associated with snowmobiling accidents is the role of speed. (Waller & Lambom, 1975; James et al., 1991; Rowe et al., 1993). In this study, the danger associated with the speed of snowmobiles was noted as being extremely or highly dangerous by 34% of the 1996-97 convicted snowmobile law violators and 48% of the other snowmobilers. Furthermore, 36% of the 1996-97 convicted snowmobile law violators and 65% of the other snowmobilers noted speed as a factor contributing to a snowmobile accident that they knew about. However, the challenge of adopting speed reducing regulations was made clear when snowmobilers were asked about their support for establishing an enforced snowmobile speed limit on public land, trails, and waterways. Only 25% of the 1996-97 convicted snowmobile law violators and 41% of the other snowmobilers strongly or moderately support the speed limits. Nevertheless, establishing a speed limit on snowmobile trails, especially in accident prone locations, may be necessary (Hermance, 1995). This topic is currently under review by Michigan’s DNR and legislative bodies (Lansing State Journal, 2000). Management As in any recreation setting, proper design and maintenance of facilities are essential for safety and resource protection. Yet, these activities can also help minimize risky and illegal behaviors through limiting or directing behavioral options. Such activities would be especially useful for targeting the unwitting and situational violators. Of the types of moving citations issued to 1996-97 snowmobile law violators, seven out of ten were roadway related infractions, such as operating on a public roadway, operating against flow of traffic, not in a single file, or failing to be to the extreme right of the roadway going with the flow of traffic. In addition, when asked about the dangers of 139 operating on state or county roads, only 10% from both groups considered it to be extremely or highly dangerous. This is similar to rider perspectives about the circumstances related to a snowmobile accident. Convicted 1996-97 snowmobile law violators cited road riding as a factor in 15% of the accidents of which they were aware and other snowmobilers cited it in about 18% of accidents. These perspectives are counter to the details contained in 146 police reports of Michigan snowmobile fatalities from 1993-1997. Review of these reports found that nearly half of the accidents began or occurred on a public roadway (Nelson et al., 1998). This clearly suggests a false sense of security among snowmobilers as few perceive danger in operating on roadways. As of 1999, Michigan laws governing snowmobiles permit them to operate on the right-of-way of a plowed state highway, except along limited access highways. In addition, counties or cities may designate rights-of-ways on plowed roadways for use by snowmobilers. Based upon the analysis of the 146 Michigan fatal accident reports, it appears that the hazards pertaining to roadways are related to their inherent characteristics (Nelson et al., 1998). For example, Michigan roadways are relatively flat, straight, wide- open places that provide an opportunity for a snowmobiler to rapidly attain high levels of speed. In contrast, most snowmobile trails are narrower, follow the contour of the land, and change direction often. They thereby discourage snowmobilers from attaining high speeds. The exception to this is rail trails, which often mimic the characteristics of roads without the automobile traffic. Much of Michigan’s designated and groomed snowmobile trail system relies on unplowed state and national forest roads. However, plowed county roadway shoulders are often used to create connections to other snowmobile trails and towns allowing access to food, fuel, and lodging services. With the improved comforts of snowmobiles and an established network of trails, long distance, multi-day snowmobile trips have become an increasingly typical pattem. This is likely to continue in the future. Development of connecting trails to towns and other trail systems is also likely to increase as communities recognize the financial benefits of providing services (Stynes et 140 al., 1998). Yet, since new trail construction costs are high and trails cross both public and private lands, development of new connecting trails has lagged behind snowmobiling activity (Nelson et al., 1998). The draft Michigan Snowmobile Plan advocates additional safer snowmobile trail connectors to services and towns (MDNR, 1998). This includes construction of additional trail connectors on public lands and securing easements where necessary to cross private property. Managers also have some control over trail conditions. While trail conditions depend upon many factors, such as snowfall and weather, grooming is also a strong influence. Based upon the LR model, rider assessment of trail conditions was one aspect that differentiated 1996-97 convicted snowmobile law violators from other snowmobilers. The convicted violators rated trail conditions as more dangerous than other snowmobilers. In addition, they considered the trail conditions more likely to be a factor associated with accidents than other snowmobilers. While improving trail conditions may help reduce the risk of accidents, it could also be counterproductive since well groomed, wide, straight trails may also contribute to increases in speed and accident risk. Hence, proper trail grooming that provides safe, enjoyable riding conditions while limiting speed is desirable. Research Recommendations As of the late 1990’s, research concerning the safety of snowmobilers has been almost exclusively focused on describing the nature of snowmobile injuries and the circumstances surrounding snowmobiling accidents (Rowe et al., 1993). Several studies, however, have considered how factors, such as a snowmobiler’s attitudes, perceptions, and other characteristics, are related to the likelihood of one being involved in an accident (Waller & Lambom, 1975; Rowe et al., 1993). These studies have entailed comparing those involved in a snowmobile accident with those not involved. While such comparative studies have begun to identify factors that influence behaviors contributing 141 to a snowmobiler’s risk of an accident, they are limited and all have applied univariate analysis between factors. Comprehensive comparative studies between those who violate folk crime laws and non-violators have revealed a host of distinguishing factors associated with aberrant behaviors and accident involvement. Accordingly, this research aimed to identify differences between 1996-97 convicted snowmobile law violators and non-violators using a comprehensive conceptual model and logistic regression analysis. This type of analysis allows researchers to find the most parsimonious model to describe the relationship between a dependent variable and a set of independent variables. In this study, the PRECEDE Model (Green et al., 1980) was used to ascertain differences that predispose (e.g., attitudes), enable (e. g., snowmobile characteristics), and reinforce (e.g., support networks) those that violate safety regulations. In this study, the PRECEDE model and analysis proved moderately effective in identifying key influences and circumstances that contribute to risky and illegal snowmobiling behaviors. Consequently, future endeavors aimed at identifying distinctions between accident victims or violators and their counterparts might find this model useful. Yet, as with any research, there is room to improve methodology and answer new questions brought about by data analysis. For example, examining different ways to delimit violators and non- violators, segmenting different types of violators, and gathering additional information distinguishing snowmobile law violators and other snowmobilers. Delimiting Violators and Non-Violators and Characterizing Different Violators One of the challenges of this research pertained to the limited definition used to segment 1996-97 convicted snowmobile law violators and other snowmobilers. In this study, 1996-97 convicted snowmobile law violators were defined as those who were cited by Michigan DNR-LED Conservation Officers during the winter season of 1996-97 and convicted of violating operation or safety regulations. Conversely, other snowmobilers 142 were all those who purchased a Michigan Snowmobile Trail Permit and were not cited by Conservation Officers for a snowmobile safety violation during the winter 1996-97. Applying such a segmentation scheme creates a few research challenges. First, these 1996-97 convicted snowmobile law violators include only those that were caught and cited by Michigan DNR Conservation Officers and later convicted. Those cited by County Sheriffs and Michigan State Police were not included as there is no central data base of all these citations. Secondly, the 1996-97 convicted snowmobile law violators were only defined based upon one winter. Intuitively, some proportion of snowmobilers who violate the law are not caught in a given year. This means that some of the other snowmobilers, while characterized as non-violators during winter 1996-97, violated, but were not cited. This may explain why some of the other snowmobilers were characteristically similar to the 1996-97 convicted snowmobile law violators. Thirdly, and perhaps somewhat more challenging, characterizing snowmobiler law violators based on a single conviction does not necessarily constitute an individual as a high risk or regular willful law violator. There is a wide range of reasons and situations leading to law violation. For instance, there are willful violators (conscious and lacking respect for authority), situational violators (would not normally violate but circumstances influenced it), unwitting violators (would not knowingly violate) and those who do not violate. These differences in violators can and do, as this research indicates, affect the distinguishing variables identified and the results of the logistic regression analysis. For example, comparison between those cases with extreme residual values within the groups found many differences. For instance, those cases with high Studentized residuals were all 1996-97 convicted snowmobile law violators classified as an other snowmobiler. They were older, snowmobiled less, and were more likely to support increased law enforcement and, thus, they are likely unwitting violators. As for those with high leverage values, these respondents were on average younger, snowmobiled more, and were very 143 unlikely to support more law enforcement. As a result, they are considered to be likely willful violators who where either caught or avoided a citation by LED Officers in winter 1 996-97. These segmentation scheme issues highlight two areas of opportunity for further research work. First, applying other approaches to characterize violators from non- violators could provide a better portrait of those who are likely to engage in risky and illegal snowmobile activities. Typically, other folk crime researchers, particularly in traffic safety, define law violators based upon a specified quantity of law convictions or the seriousness of their violation(s). A definition involving quantity is used because traflic safety researchers generally feel that some driving violations are unintentional errors and this is one way to lessen their influence (Reason et al., 1990). Perhaps other natural resources related citations (e.g., ORV, hunting, fishing) or driving citations could be used in conjunction with the snowmobile violation conviction to define violators. This presents the challenge of developing a data base of citations for natural resource based recreation violations. While all the citations issued by DNR-LED Conservation Officers are kept on file in one location, they are not catalogued in an electronic data base. Moreover, no attempt is made to link the DNR citations to driving records. However, with the recent mandate adding points to driver’s licenses for snowmobile law infractions, this connection is slowly being made. Besides this, the driver’s license point system used by the Secretary of State to evaluate driver records can also be used to develop a better means of segmenting violators from non-violators. Lastly, another means traffic safety researchers have used to classify violators from non-violators has been through a series of questions where respondents rate their probability of engaging in a set of traffic offenses and deviant behaviors (Lawton et al., 1997a; Lawton et al., 1997b). These questionnaires have proven useful in segmenting drivers. The point system and questionnaire of traffic offenses and deviant behaviors also have been used to segment different types of violators (Reason et al., 1990; Meadows et 144 al., 1998). In such cases, quantity and seriousness of various traffic offenses are used to develop a composite picture of various segments of violators. These scales are then applied to models to develop distinct profiles of the different types of violators. Using such information, when available, to segment snowmobile law violators into different types of violators would identify pertinent segments useful to snowmobile law enforcement and managers. Additional Information While this study attempted to elicit a gamut of influences associated with aberrant snowmobiling behaviors, more information could provide more accurate and detailed segmentation of the snowmobile law violator. For instance, traffic safety researchers have explored the role of personalities in the tendency to violate traffic laws (Elander et al., 1993). Using psychometric measurements, such as sensation seeking, irnpulsiveness, and hostility, may also help differentiate violators from non-violators. While at a field enforcement level this has little practical applications in a safety training program, it may help target efforts and key messages to potential problem riders. Another potential area of research might include understanding snowmobilers’ knowledge about general snowmobile operation and safety regulations. This could prove useful to understanding unwitting violators. This information could also be used to improve safety education. Such a study might also involve following individuals who completed a snowmobile safety course for a period of time to answer the question of whether those who complete safety training are less likely to violate or have an accident. While this has been determined for hunter safety, it has yet to be studied for snowmobile safety as mandates for safety education are more recent or, in some jurisdictions, non- existent. 145 In addition to this, few data in this study were collected about specific riding habits of snowmobile law violators, such as primary riding party composition, location where they typically snowmobile, places they frequent, time of day and week they ride, other activities they engage in while riding, etc. Such information could help law enforcement better focus their patrols. Other useful data that could aid in developing better promotion campaigns would be information about the types and sources of information snowmobile law violators use. Intervention messages could then be targeted at these channels. Finally, another aspect that traffic safety researchers have recently begun to identify as they develop profiles is correlating violations with a variety other risky deviant behaviors, such as stealing, fighting, etc. (West et al., 1993; Lawton et al., 1997a). Criminal checks for warrants, automobile driving records, or other activities such as hunting or off road vehicle violations could prove useful in understanding the relationship of snowmobile law violators to other illegal behaviors. 9mm Snowmobiling has changed considerably since its inception in the 19605, explosive growth in the 19708, decline in the 19808, and rebound in the 19905. The development of more powerful snowmobiles and better suspension has given riders quicker acceleration and improved the ease of handling, stability, and comfort. Besides improvements to snowmobiles, designated trail opportunities also have increased, providing an extensive network connecting snowmobilers to communities providing services. Increasingly, snowmobilers are traveling further over several days in family and other groups. Yet, along with the improvements in snowmobile technology, increased participation, and more designated opportunities, an increasing number of states have reported increases in the number of snowmobiling accidents, particularly fatalities. Curtailing such snowmobile accidents is a fonnidable task, given the magnitude of the 146 enforcement situation and the perspective some individuals take toward risky snowmobiling behaviors and the regulations governing them. It is imperative that all involved in alleviating risky and illegal behaviors which lead to accidents, including snowmobilers themselves, have an adequate knowledge of the key factors affecting snowmobilers’ risky and illegal behaviors. While this research provides a baseline of the influences driving risky snowmobiling behaviors and circumstances, much more needs to be done. As snowmobiling moves into its fifth decade, it is likely to continue to evolve. As such, it will be critical for trail managers and law enforcement personnel to regularly monitor changes in snowmobilers, machines, and legal and illegal activity patterns and seek ways to enhance rider safety, reduce conflicts, and protect the natural and social environment. 147 APPENDICES 148 APPENDIX A MICHIGAN SNOWMOBILE QUESTIONNAIRE 149 \Ill lllgnll \mmnmlilllllg I‘llitNliHllllJll't‘ Please complete the following table to describe the people in your household and their involvement in snowmobiling, If there are no people in a certain category, please use 0 for that category. Number in Num who snowmobiled Num. who snowmobiled in Num. who completed Household winter of 1996-97 MI winter of 1996-97 snowmobile safety class Adults 18 or older Children 12-17 Children li-younger [If no one from your household snowmobi_led in Michigan in winter 1Wease skip to QUESTION 16. 2. Model Year For each snowmobile owned in you household. please complete the table below. CC of 1996-97? sticker? Please esnmte, using the table below, how my MACHINE DAYS during the winter of 1996-97 you and household members operated your snowmobile(s) (in question #2) in these five regions of Michigan. Please consider each day, or part of a day, a machine was operated as l MACHINE DAY. ugu s when you were snowmobiling vs. using the snowmobile to support activities like ice fishing. For Examples, if household members with 2 machines snowmobiled for 3 days in the Western UP, and 1 machine was also used for I day to support ice fishing, you would write 6 under Western UP snowmobiling days and I under Western UP support days. If you didn 't snowmobile or use the machine to support another activity in a region, please leave it blank Snowmobile Region # Days Used during winter Had 1997 M1 trail Michigan Approx. # Miles driven in MI winter 1996.97 Support it Days 1 Western UP (West of Marquette/Escanaba) 2. Eastern UP (East of Marquette/Escanaba) 3 Northwest LP (N of Bay City/Muskegon &. W of 175/23) 4 Northeast LP (N of Bay City/M uskegon & E of 175/23) 5 Southern LP (South of City/Muskegon) TOTAL MACHINE DAYS If you had any SNOWMOBILE DAYS in Region 3 (Northwest LP), how many days were near one or more of the towns of Traverse City, Kalkaska. or Cadillac? ....................... it days Of the total number of SNOWMOBILE DAYS (lst colunm in Question 3 above). how many were: Days involving overnight stays from your permanent home ....................... # days Days not involving stays away from home but traveled 100 or more miles one way to snowmobile ........................... # days Days not involving overnight stays and less than 100 miles from home .............. # days TOTAL MICHIGAN SNOWMOBILE DAYS (same it as Q3 1st column) .......... # days How many of the TOTAL SNOWMOBILE DAYS (same it as Q3 1st column) were mostly spent on the public snowmobile trail system (trails marked with orange diamonds)? ............ # days How many gallons of gasoline did your household use in all of its snowmobiles in Michigan during winter of 1996-97? it gallons 150 way from home or snowmobiled more than i an Ice (one way) from your permanent home. please answer you reported a winteWMlchlggn snowmobile outing in response to question 4 when you stayed overnight questions 7-13 about your MOST RECENT outing. If not, pleas skip to QUESTION 16. 8. What were the date(s) of the MOST RECENT outing? ................. From To 9. In what Michigan County (or near what town) was it prirmrily focused? . . . . How many miles was this from your principle home? ................... miles 10. How many people from your household .............................. it 11. How many of your snowmobiles it were involved during that MOST RECENT outing? 12. How many MACHINE DAYS were the snowmobiles used for snowmobiling (not as support for fishing) during that MOST RECENT outing? ................................ 13. Was there an overnight stay away from your permanent home? ........... Yes No if you stayed overnight away from your home. where did you stay? Please check all that apply. Own Second Home Motel / hotel / rental cottage or cabin Camped At friend’s lrelatives Other: Please explain 14. How much money did your household spend on the entire trip during that MOST RECENT outing? Please complete the table below for spending at home in preparation, traveling to and from the snowmobile area, and in the local area where you rode. If you spent nothing on a item, please leave it blank. At Home En Route Local Area Grocery and convenience store food and drink 5 00 S .00 S .00 Tow vehicle expenses (gasoline, repairs, etc.) 5 .00 S .00 S .00 Snowmobile expenses (gasoline. repairs, etc. 5 00 S .00 S .00 Restaurant and bar (meals and drinks) g: ,‘j‘j :‘Q'Mfi‘j. :‘3 S .00 S .00 Sporting goods (bait, fishing tackle. etc.) 5 .00 S .00 S .00 Lodging (motel, campground, rental cabin, etc.) figmlgy S .00 S .00 All other item (film, souvenirs, etc.) 8 .00 S .00 S .00 15. Whom did these expenditures cover? _ Your household only OR Your household + _ # others? 16. What were your household’s snowmobiling related expenses in the past l2 months in the following categories? Purchase of snowmobile equipment (snowmobile, trailer. etc.) .......................... S .00 Snowmobile repair /. maintenance not done during a Ml snowmobile trip ................. S .00 Insurance on your snowmobile(s) ................................................ S .00 Off-season storage costs ........................................................ S .00 151 I Now I’d like to ask some questions about your perceptions oTM'lchlgan snowmoblTlng & its management. ] 17. Please rate the following services / situations regarding the Michigan DNR’s snowmobile program. Use a scale of l to 5, with 5 as very good, 4 as good, etc. Pleas circle the appropriate number for each item. Very Very Services I Situations Good Good OK Poor Poor Why your ratting? _Publlc trail groomlng 5 4 3 2 I DNR maps of snowmobile trails 5 4 3 2 I Public trail design 5 4 3 2 i Trailhead parking / staging areas 5 4 3 2 i Snowmobile law enforcement 5 4 3 2 l Snowmobile safety education 5 4 3 2 1 18. Is the public snowmobile trail system in Michigan overcrowded? Yes No 19. Please list ONE IMPROVEMENT you would most like to see in the Michigan snowmobile trail system 20. Would you be willing to support an increase in the cost of the state snowmobile trail sticker to pay for this improvement if it involved increased costs? Yes No __ Undecided 21. Over winter 1996-97. more than 40 snowmobilers were killed during Michigan Snowmobiling. The DNR is considering potential ways to reduce fatalities. Please circle your level of support for each of these on a scale of] to 5. with 5 strongly support, 4 moderately support. etc. Strongly Moderately Moderately Strongly Fatality Reduction Initiative Support Support Neutral Oppose Oppose Enforce snowmobile speed limit on public 5 4 3 2 1 lands. trails, and water Mandatory training required for all first year 5 4 3 2 l snowmobile operators regardless of age Licensing required of all snowmobile tors 5 4 3 2 I Mandatory personal liability insurance for 5 4 3 2 1 all snowmobile operators More intensive enforcement of existing 5 4 3 2 l snowmobiling regulations 22. Please list any other ideas you have about ways to reduce fatalities? 23. if implementing fatality reduction initiatives you supporwd in question 19, or your own suggestion, results in additional costs, would you support an increase in the Michigan snowmobile trail sticker to cover that cost? Yes No __ Undecided 152 24. 25. 26. 27. 28. 29. 30. 32. How many times during the winter of 1996-97 in Michigan were you or members of your household checked or stopped by a law enforcement officer while snowmobiling? it Did you or members of your household see, but were not stopped or checked by a law enforcement officer while snowmobiling in Michigan during the winter of 1996.97 Yes No Please rate the level of danger to snowmobilers from the following, based on your snowmobiling experiences. Use a rating scale of l to 5, with 5 being extretnely dangerous, 4 highly dangerous, etc. and circle the appropriate number for each. Extremely Highly Moderately Slightly Not Behavior / Situation Dangerous Dangerous Dangerous Dangerous Dangerous Operation of snowmobfles by persons who have been drinking, but are not 5 4 3 2 l intoxicated Operation fincwmobfles by intoxicated persons 5 4 3 2 1 Speed of snowmobiles 5 4 3 2 1 Drivers lack of skill in operating their machines 5 ‘ 3 2 1 Cars / Trucks on seasonal roads 5 4 3 2 1 Public trail conditions 5 4 3 2 1 Public trail design 5 4 3 2 1 Other uses of snowmobiles trails (e.g. dog sledding, X-C ski) 5 2 ‘ Snowmobiling on county / state roads 5 4 3 2 1 List other behaviors / situations that you feel are extremely or highly dangerous? Do you know the circumstances of a snowmobile accident that involved an injury or fatality? Yes No If Yes to question 26, please check each of the following factors that contributed to the accident Alcohol ‘Wrn-snowmobfler on trail Speed Fatigue Lack of driver skill Visibility Snowmobile on roadway lce Conditions Trail conditions Other (Explain) What is your 5 digit home zipcode? 31. What is your age? years At what age did you begin snowmobiling? years If you have any other comments about Michigan Snowmobiling, please write them here. Thanks for your input. Please min the completed questionnaire back to tne in the postage paid envelope provided. Thanks for you help and your time. Chuck Nelson, Assistant Professor Department of Park, Recreation. and Tourism Resources 131 Natural Resources Building, Michigan State University East Lansing, Michigan 48824 (517) 353-5190 153 APPENDIX B OTHER SNOWMOBILER COVER LETTER 154 June 3, 1997 Dear Michigan Snowmobile Trail Sticker Purchaser: The Michigan Department of Natural Resources (DNR) and Michigan State University are cooperating to better serve the snowmobiling public. Enclosed is a brief questionnaire asking about your recent Michigan snowmobiling experiences, your assessment of current snowmobiling programs, opinions about future program options and basic information about your household. Your responses will be critical in shaping the DNR’s future snowmobiling program. In particular, the results will be used by trail managers, housed in the Forest Management Division and conservation officers, housed in the Law Enforcement Division. Your name was chosen from DNR records of snowmobile trail stickers sold for winter 1995-96. This was the last winter for which complete information was available. Snowmobile trail sticker sales were chosen rather than snowmobile registrations, as all who snowmobile on public lands in Michigan, residents and visitors, are included. Please take the 15 minutes or so necessary to complete the questionnaire. Your participation is voluntary and you indicate your willingness to participate by completing and returning this questionnaire. This will allow your opinions to be heard by the DNR and other policy makers concerning future snowmobile programs. When you have completed the questionnaire, please mail it back to me in the postage paid enveloped provided. Your responses will be kept confidential and you name will not be associated with any of the results. Thanks for you help. If you have any questions or concerns about this survey, please contact me at the phone or fax number listed alongside. If you wish to contact the DNR snowmobile program managers, for trail maintenance and design matters contact (517) 373-1275 and for law enforcement matters contact (517) 373-1230. Sincerely, Chuck Nelson, Assith Professor CDC. 155 APPENDIX C 1996-97 CONVICTED SNOWMOBILER LAW VIOLATOR COVER LETTER 156 June 12, 1997 Dear Snowmobiler: The Michigan Department of Natural Resources (DNR) and Michigan State University are cooperating to better serve the snowmobiling public. Enclosed is a brief questionnaire asking about your recent Michigan snowmobiling experiences, your assessment of current snowmobiling programs, opinions about future program options and basic information about your household. Your responses will be critical in shaping the DNR’s future snowmobiling program. In particular, the results will be used by trail managers, housed in the Forest Management Division and conservation officers, housed in the Law Enforcement Division. Your name was chosen from DNR records of snowmobilers issued a citation for safety related rule violations during 1996-97. This was done to understand the perspective of those who have had contact with law enforcement personnel while snowmobiling. Please take the 15 minutes or so necessary to complete the questionnaire. Your participation is voluntary and you indicate your willingness to participate by completing and returning this questionnaire. This will allow your opinions to be heard by the DNR and other policy makers concerning future snowmobile programs. When you have completed the questionnaire, please mail it back to me in the postage paid enveloped provided. Your responses will be kept confidential and you name will not be associated with any of the results. Thanks for you help. If you have any questions or concerns about this survey, please contact me at the phone or fax number listed alongside. If you wish to contact the DNR snowmobile program managers, for trail maintenance and design matters contact (517) 373-1275 and for law enforcement matters contact (517) 373-1230. Sincerely, Chuck Nelson, Assistant Professor CDC. 157 APPENDIX D OTHER SNOWMOBILER FOLLOW-UP COVER LETTER 158 July 10, 1997 Dear Michigan Snowmobile Trail Sticker Purchaser: About a month ago I mailed you a questionnaire concerning Michigan snowmobiling. At this time, I have not received your response. If you have already replied and our letters cross in the mail, thank you for responding and please accept my apologies for this extra contact. I have sent this final questionnaire to you by certified mail to emphasize its importance and to ensure it delivery in case you did not receive the first one or have misplaced it. For a few who did respond but destroyed the code number stamped on the survey, you are being surveyed again because I was unable to determine that you responded the first time. While your participation is voluntary, it provides an excellent opportunity for your opinions to be heard. Policy makers will use the results of this study when considering snowmobile regulations. law enforcement, fees and trail design and maintenance. Please take the 15 minutes or so necessary to complete it and join with the many other snowmobilers who have let their opinions be heard. Remember even those of you who did not snowmobile in Michigan during the winter 1996-97, there are portions of the questionnaire still directed at you since you have snowmobiled here in the past. When you have completed the questionnaire, please mail it back to me in the postage paid enveloped provided. Your responses will be kept confidential and you name will not be associated with any of the results. Thanks for you help. If you have any questions or concerns about this survey, please contact me at the phone or fax number listed alongside. If you wish to contact the DNR snowmobile program managers, for trail maintenance and design matters contact (517) 373-1275 and for law enforcement matters contact (517) 373-1230. Sincerely, Chuck Nelson, Assistant Professor 159 APPENDIX E 1996-97 CONVICTED SNOWMOBILER LAW VIOLATOR FOLLOW-UP COVER LETTER 160 July 17, 1997 Dear Snowmobiler: About a month ago I mailed you a questionnaire concerning Michigan snowmobiling. At this time, I have not received your response. If you have already replied and our letters cross in the mail, thank you for responding and please accept my apologies for this extra contact. I have sent this final questionnaire to you by certified mail to emphasize its importance and to ensure it delivery in case you did not receive the first one or have misplaced it. For a few who did respond but destroyed the code number stamped on the survey, you are being surveyed again because I was unable to determine that you responded the first time. While your participation is voluntary, it provides an excellent opportunity for your opinions to be heard. Policy makers will use the results of this study when considering snowmobile regulations. law enforcement, fees and trail design and maintenance. Please take the 15 minutes or so necessary to complete it and join with the many other snowmobilers who have let their opinions be heard. Remember even those of you who did not snowmobile in Michigan during the winter 1996-97, there are portions of the questionnaire still directed at you since you have snowmobiled here in the past. When you have completed the questionnaire, please mail it back to me in the postage paid enveloped provided. Your responses will be kept confidential and you name will not be associated with any of the results. Thanks for you help. If you have any questions or concerns about this survey, please contact me at the phone or fax number listed alongside. If you wish to contact the DNR snowmobile program managers, for trail maintenance and design matters contact (517) 373-1275 and for law enforcement matters contact (517) 373-1230. Sincerely, Chuck Nelson, Assistant Professor 161 APPENDIX F MICHIGAN SNOWMOBILING NON-RESPONDENT TELEPHONE SURVEY 162 Michigan Snowmobiling Non-Respondent Telephone Follow-up Phone # Hello, my name is from Michigan State University. I’m calling about his/her Michigan Snowmobiling. (if not individual, say “May I speak to him/her?”) , l have a few questions about your household's snowmobiling this past winter. We mailed you a questionnaire earlier this year, but we didn’t receive a completed one back. To best represent the opinions of snowmobilers to the DNR, I would appreciate just 5 minutes of your time to answer a few key questions. Would you be willing to help? (Wait for a response. if no, say thank you and good bye. If yes, say thank you.) First I’d like to get some information about your household and their snowmobiling. 1. Including you, how many people are in your household? # 2. How may snowmobiled in winter of 1996-97 # 3. How may snowmobiled in Michigan in winter of 1996-97 # 4. Please tell me about the model year and CC level of each of the snowmobiles your household owns. (DO A through D ONE AT A TIME AND FILL IN THE CHART BELOW) a. Which machines were used during winter of 1996-97? b. Which had Michigan trail stickers in winter of 1996-97? c. Approximately, how many miles was each driven in Michigan during winter of 1996-97? d. How may different days was each machine operated in Michigan for snowmobiling. This does not include it use for support of other activities such as ice fishing. Used during winter Had 1997 M1 Approx. # Miles driven in Num. of Michigan Model Year CC of 1996-97? trail sticker? Ml winter 1996-97 snowmobile 5. Of the # (Total from chart above) MI snowmobile days, how may were in the UP? # days in UP 6. How many were in the NLP (N. of Bay City/ Mount Pleasant! Muskegon)? # days in NLP 8. SKIP - Don’t ask. just subtract Southern Lower Peninsula? # days in SLP 9. Of these # (Total from chart above) MI snowmobiling days, how many were on trips more than 100 miles from home or where you stayed away from home one or more nights? # days ovemight/ 100 miles away 10. Were you or members of your household ever stopped or checked by a law enforcement officer while snowmobiling in Michigan during winter 1996-97? Yes or No 163 Now I’d like to ask you some questions about Michigan snowmobiling and its management. ll. l3. 14. Please rate the following services and situations on a scale of very good to very poor, with the choices being very good (5), good (4), OK (3), poor (2), and very poor (1 ). First would you rate: a. Public trail grooming # Why this rating? b. Snowmobile law enforcement # Why this rating? Over winter l996«97, more than 40 snowmobilers were killed during Michigan Snowmobiling. The DNR is considering potential ways to reduce fatalities. Please rate your level of support for each of these on a scale of l to 5. with 5 strongly support, 4 moderately support, 3 neutral, 2 moderately oppose. and 1 strongly oppose. 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Department of Interior Task Force Study. Washington D. C. 176 MICHIGAN sran UNIV. LIBRQRIES lllIllllllIllIllllllllllllllllllllllllllllllll 31293020485415