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WES]: pm This is to certify that the thesis entitled An Evaluation of the Michigan Department of Natural Resources' White-tailed Deer (Odocoileus virginianus) Field Survey Methodologies presented by Sarah Laggner Cook has been accepted towards fulfillment of the requirements for M.S. degreeinFisheries & Wildlife gatnom Major professor 0-7639 MS U is an Affirmative Action/Equal Opportunity Institution LIBRARY Michigan State University PLACE IN RETURN 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 Earl; gugm3| DATE DUE 4117051 0511383 02. “ 233’ 3—1 MAY 01,98‘ zansl he 3'0““20052 (I; am a/CWIS AN EVALUATION OF THE MICHIGAN DEPARTMENT OF NATURAL RESOURCES’ WHITE—TAILED DEER (ODOCOILEUS VIRGINIANUS) FIELD SURVEY METHODOLOGIES By Sarah Laggner Cook A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Fisheries and Wildlife 2001 ABSTRACT AN EVALUATION OF THE MICHIGAN DEPARTMENT OF NATURAL RESOURCES WHITE-TAILED DEER (ODOCOILEUS VIRGINIANUS) FIELD SURVEY METHODOLOGIES By Sarah Laggner Cook The Michigan Department of Natural Resources (MDNR) needs reliable data for public accountability and sound scientific management of the state’s white-tailed deer (Odocoz'leus virginianus) herd. Three white-tailed deer field surveys were examined to evaluate the quality of the data collected. The biophysical data (biodata) collected from harvested deer brought to voluntary check stations provides the largest available source of data on Michigan’s deer herd, but biases, errors, and insufficient data limit the use of the biodata. However, the biodata can be used in the sex-age-kill estimates of population size, or to develop indices of herd health, track herd or harvest composition, and compare the herd composition of different years or geographic areas. The lactation data do not provide an estimate of annual recruitment, but they can be used to develop an index or minimum estimate of reproductive success. The inconsistent manner in which the winter severity index (WSI) data are collected prevents the index from being a useful tool with which to predict winter mortality or yearling beam diameters. Standardizing the collection process or developing an alternate WSI could make such predictions possible. By improving the quality of the data collected in the field surveys (e. g. by increasing the number of check stations or other methods), the MDNR will be better able to manage Michigan’s deer herd and will increase public confidence in their management decisions. To my parents, David and Kathi Cook Who give their children unending love and support iii ACKNOWLEDGMENTS Financial support was provided by the Michigan Department of Natural Resources (MDNR). Several MDNR Wildlife Division personnel provided valuable comments and assistance. Dr. Harry Hill, Dr. William Moritz, and John Urbain reviewed drafts of each chapter and suggested new questions or new interpretations of the data. Brian F rawley provided the mail survey harvest data, and Marshall Strong provided much needed ArcView support. I would especially like to thank Dr. Scott Winterstein, my major professor. He has provided unending patience, advice, and support throughout the project, and I have greatly enjoyed working with him. The other members of my committee, Drs. Henry R. Campa, Harry Hill, and Robert Tempelman, also deserve thanks and acknowledgement for their guidance. Several students in the Department of Fisheries and Wildlife provided me with support and assistance. Lori Corteville was especially helpful in introducing me to the biodata and helping me learn SPSS. Brandi Hughey also provided much appreciated assistance in literature searches, teaching me how to use ArcView, organizing the biodata, developing the B-WSI, and in many other ways. Without her help, this project would have taken much longer. I would also like to thank the many other graduate students who answered my questions or provided me with support. TABLE OF CONTENTS LIST OF TABLES ................................................................................... vi LIST OF FIGURES .................................................................................. ix CHAPTER 1 INTRODUCTION .................................................................................... 1 CHAPTER 2 THE BIODATA EVALUATION Introduction ................................................................................... 4 Question 1 ................................................................................... 10 Question 2 ................................................................................... 28 Question 3 ................................................................................... 35 Question 4 ................................................................................... 41 Question 5 ................................................................................... 49 Question 6 ................................................................................... 58 Question 7 ................................................................................... 67 Question 8 ................................................................................... 77 Question 9 ................................................................................... 84 Question 10 ................................................................................ 104 Conclusion ................................................................................. 1 10 CHAPTER 3 THE LACTATION SURVEY EVALUATION Introduction ................................................................................ 1 13 Methods .................................................................................... 114 Results ................................ 115 Discussion ................................................................................. 127 CHAPTER 4 THE WINTER SEVERITY INDEX EVALUATION Introduction ................................................................................ 1 33 Methods .................................................................................... 134 Results ...................................................................................... 139 Discussion ................................................................................. 158 CHAPTER 5 CONCLUSION .................................................................................... 163 APPENDICES ..................................................................................... 167 LITERATURE CITED ........................................................................... 176 LIST OF TABLES Table 1. Increase in the number of antlerless deer checked when antlerless hunting was permitted on at least two-thirds more of the county in Year 2 than in Year 1. Table 2. Percent of deer aged incorrectly by field personnel according to the ages determined at Rose Lake in 1999. Bold lines indicate deer of several ages were grouped in a single category. Table 3. Locations of the check stations from 1996 through 1999. Table 4. Change in the number of deer checked and harvested following the addition of a check station to a county. Table 5. Results of chi-squared tests comparing the 1999 distribution of the biodata to the distribution of the harvest data within the counties of each management unit. Table 6. The number (and proportion) of deer of each harvest-type category checked from each region and season. The chi-squared tests compared the harvest composition of the firearm and archery season in the biodata. All tests have 1 degree of freedom. Table 7. The number (and proportion) of antlered deer of each age category checked from each region and season. The chi-squared tests compared the antlered deer age composition of the firearm and archery seasons in the biodata. All tests have 1 degree of freedom. Table 8. The number (and proportion) of antlerless deer of each age category checked from each region and season. The chi-squared tests compared the antlerless composition of the firearm and archery seasons in the biodata. All tests have 2 degrees of freedom. Table 9. The number (and percent) of deer harvested and checked from private and public lands in 1999. Table 10. The 1999 numbers (and proportions) of antlered and antlerless deer harvested on public land according to the mail survey and the number (and proportion) checked from public land in the biodata. The chi-squared tests compare the public land harvest composition as reported in the mail survey to that reported in the biodata. Table 11. The 1999 numbers (and proportions) of antlered and antlerless deer harvested on private land according to the mail survey and the number (and proportion) checked from private land in the biodata. The chi-squared tests compare the private land harvest composition as reported in the mail survey to that reported in the biodata. Table 12. The 1999 numbers (and proportions) of antlered and antlerless deer of each age category checked from private and public land. The chi-squared tests compare the public land composition to that of private land. vi Table 13. The 1999 numbers (and proportions) of antlered and antlerless deer checked from private and public lands. The chi-squared tests compare the private land harvest composition to that of public lands. Table 14. The number (and proportion) of deer checked from public and private lands at highway and field stations. The chi-squared tests compare the land-type composition of deer checked at the highway stations to that of those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Table 15. The number (and proportion) of antlered and antlerless deer checked at highway and field stations. The chi-squared tests compare the harvest-type composition of deer checked at the highway stations to that of those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Table 16. The number of yearling and adult antlered deer checked at highway and field stations. (Proportions are in parentheses.) The chi-squared tests compare the age composition of antlered deer checked at the highway stations to those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Table 17. The number (and proportion) of fawn, yearling, and adult antlerless deer checked at highway and field stations. The chi-squared tests compare the age composition of antlerless deer checked at the highway stations to that of antlerless deer checked at field check stations during the firearm season. All tests have 2 degrees of freedom. Table 18. Number and percent of checked deer aged as ‘A’ or ‘AA’ each year. Table 19. Examples of some regional sample sizes from 1999 biodata. Table 20. The number of counties missing data necessary to calculate the listed ratios, and the number of counties, management units, and regions whose sample sizes are sufficient to calculate the listed ratios with a margin of absolute error (E) of 5%, 10%, or 20%. All numbers are based on 1999 data. Table 21. Examples of some management unit sample sizes from 1999 biodata. Table 22. Examples of some county samples sizes from 1999 biodata. Table 23. Crosstabulation of records between the ‘antler’ variable and the ‘killtype’ variable. Table 24. Results of a chi-squared test comparing the proportion of lactating does in the first week of firearm season to that of the second week of firearm season. vii Table 25. Average annual number of lactation records and the average annual margin of error associated with the estimates of the percent of does lactating in each region and management unit. The margins of error are based on absolute percentages. All values are averaged from 1993-1999. Table 26. Percent of does lactating from 1993 to 1999 in each region and associated sample sizes. Data are from October. Table 27. Percent of does lactating from 1993 to 1999 in each management unit and associated sample sizes. Data are from Firearm Week 1. Table 28. The mean corrected WSI values of the UP, averaged over the stations in the Western UP and Eastern UP management units, and the coefficient of variation. Table 29. The mean corrected WSI values of the Northern LP, averaged over the stations in the Northwestern LP, the Northeastern LP, and the Saginaw Bay management units, and the coefficient of variation. Table 30. The mean corrected WSI values of the Southern LP, averaged over the stations in the Southwestern LP, the South Central LP, and the Southeastern LP management units, and the coefficient of variation. Table 31. Results of the regression analyses of total annual WSI values and the first and fourth month annual WSI values against several dependent variables. Table 32. Results of regression analyses of monthly and annual B-WSI values against yearling beam diameter. Monthly and annual B-WSI values were divided by 10 and 25, respectively, to place them on a scale similar to that of the MDNR WSI. viii LIST OF FIGURES Figure 1. Regional (dashed lines) and wildlife management unit (solid lines) boundaries. Figure 2. Locations of the 1999 check stations. Highway check stations are circled. Figure 3. Percent of harvested deer checked by county during 1999. The 1999 TB surveillance counties are marked with a “*”. Figure 4. Percent of all harvested deer checked from each management unit. Figure 5. Total number of deer checked (solid line) and total number of deer harvested (broken line) in each region. Figure 6. Total number of antlered and antlerless deer checked and harvested in each region. Figure 7. Histograms of the number of counties whose difference between the harvest estimates and biodata estimates of the antlerless to antlered ratio falls within the listed categories. Figure 8. Number of deer given younger ages at the check stations than at Rose Lake (under-aged) or given older ages at the check stations than at Rose Lake (over-aged) in 1999. Figure 9. Percent of does lactating in Michigan, averaged from 1993-1999 (using October data). Error bars are :I: 1 standard error. Figure 10. Average beam diameter of all antlered deer checked in Michigan, averaged from 1992-1999. Error bars are i 1 standard error. Figure 11. Percent of yearling does lactating in each region, averaged from 1993-1999 (data from first week of firearm season). Error bars are + 1 standard error. Figure 12. Average yearling beam diameter in each region, averaged from 1987—1999. Error bars are + 1 standard error. Figure 13. The percent that each county contributed to the total number of deer checked (solid) and harvested (striped) in each management unit in 1999. Figure 14. Percent of deer checked during firearm and archery season and percent of deer harvested during archery and firearm season in Michigan. Figure 15. The percent of the firearm (solid line) and total (dashed line) biodata collected at the highway check stations: Alma, Big Rapids, Birch Run, and the Mackinac Bridge (added in 1999). Figure 16. Histogram of the number of counties in the archery season, firearm season, and all seasons combined whose difference between the harvest estimates and biodata estimates of the antlerless to antlered ratio falls within the listed categories in 1999. Figure 17. Distribution of public lands (shaded areas) in Michigan Figure 18. The percent of the firearm (solid line) and total (dashed line) biodata collected at the highway check stations: Alma, Birch Run, Big Rapids, and the Mackinac Bridge (added in 1999). Figure 19. Harvest locations of the deer checked at the four highway check stations in 1999. Approximate station locations are marked as white (Alma, Birch Run, Big Rapids) or black (Mackinac Bridge) circles. Figure 20. Age structure of the female and male deer classified as ‘A’ and aged at Rose Lake (in 1999), excluding fawns. Figure 21. Age structure of all female and male deer checked during 1999, excluding fawns. Figure 22. Percent of checked deer aged as (a) ‘A’ or (b) ‘AA’ during all seasons at highway check stations (solid line) and field stations (broken line). Figure 23. Number of deer checked from archery (solid line) and firearm (broken line) seasons from 1987 through 1999. Figure 24. Estimates of the number of deer harvested by county from the 1999 mail survey. Figure 25. Total number of deer checked from each management unit between 1987 and 1999. Figure 26. Number of bucks checked in 1999 by township and range coordinates. Figure 27. Percent of adult females lactating in Michigan from October to December, averaged from 1993-1999. Error bars are :I: 1 standard error. Figure 28. Percent of females in Michigan lactating in each age class (averaged from 1993-1999 using data from all seasons combined). Error bars are :t 1 standard error. Figure 29. Percent of females lactating in each age class and in each region (averaged from 1993 -1999 using October data). Error bars are + 1 standard error. Figure 30. Percent of females lactating from 1993 to 1999 in each age class and in each region (using October data). (Exact values and sample sizes can be found in Table 26) Figure 31. Correlations between the annual average beam diameter and proportion of lactating does (from October data) among yearlings. (UP: r2=0.3668, p=0.1495; NLP: r2=0.1929, p=0.3241; SLP: r2=0.1044, p=0.4796). Figure 32. Correlations between the annual average beam diameter and proportion of lactating does (from October data) among adults (2.5+ years old). (UP: r2=0.8561, p=0.0028; NLP: r2=0.0971, p=0.4964; SLP: r2=0.3909, p=0.1332). Figure 33. The WSI station locations. Figure 34. The availability of data from each WSI station from 1969 to 1998. The station codes correspond to the codes from Figure 33. A station with usable data indicates data were collected and used in the corrected WSI value. A station with unusable data indicates data were collected but could not be used in the corrected WSI value. A blank space indicates data were not collected that year. Figure 35. The time period WSI data were collected in each region from 1969 to 1999. The bold lines mark days 42 (December 13) and 168 (April 18). Figure 36. The annual corrected WSI values recorded at Allegan Farm (solid line) and Allegan Forest (broken line). Figure 37. The (a) cumulative and (b) weekly WSI values from three selected years with similar final WSI values in the Upper Peninsula. Figure 38. Corrected annual WSI values from 1977 to 1999 in the Upper Peninsula, Northern Lower Peninsula, and Southern Lower Peninsula. Figure 39. Corrected annual WSI values of the Western UP and the Eastern UP. Figure 40. Corrected annual WSI vaers of the management units of the Northwestern LP, the Northeastern LP, and Saginaw Bay. Figure 41. Corrected annual WSI values of the management units of the Southwestern LP, the South Central LP, and the Southeastern LP. xi CHAPTER 1 INTRODUCTION In 1996, the Michigan public passed Proposal G, a ballot initiative calling for the scientific management of Michigan’s wildlife resources. White-tailed deer (Odocoileus virginianus) are one of Michigan’s largest wildlife resources, and the Michigan Department of Natural Resources (MDNR) management of the deer impacts virtually every Michigan resident. The MDNR has found that Michigan residents have different opinions of and goals for the deer population (W. Moritz, MDNR, personnal communication). Many hunters prefer a large population of healthy animals with a large proportion of older, larger bucks. Farmers want low deer densities to reduce crop damage. The general public values deer viewing opportunities, but people do not want the deer eating their ornamental shrubs or causing car-deer collisions. With so many different opinions on the desired size and condition of rhe deer herd, the MDNR needs sound scientific data to develop effective management strategies and to justify its management techniques to the public. The MDNR collects data on the Michigan deer herd through several different field survey techniques. The annual field surveys of the white-tailed deer population of Michigan allow the MDNR to estimate population size, predict changes in population size due to harvests and winter mortality, and to gather information on the composition and health of the Michigan deer herd. Field surveys are techniques used to collect data fi'om the deer herd to estimate population parameters and to develop population indices (relative measures of population parameters) of wildlife species based on statistical principles. Field surveys allow wildlife managers to approximate the true population parameters based on results of sampling a fraction of the population. The field survey data, however, cannot be used confidently unless they are collected in a consistent and statistically valid manner. I evaluated the procedures used in data collection and analysis of 3 field surveys (the biodata, the lactation survey, and the winter severity index) to determine if they provide the most accurate data possible. I also evaluated the statistical validity of the data at the relevant scales. The results of the 3 different evaluations are presented in the following 3 chapters. The second chapter of this thesis discusses the evaluation of the check station data. The MDNR runs the voluntary check stations during the deer hunting seasons to collect biophysical data (known as the biodata) on the harvested deer. Chapter 2 is divided into several sections. The first section describes the biodata and the purpose of the evaluation. The following sections present several questions which the evaluation addressed, the methods used to answer each question, and the results of the evaluation. The final section draws conclusions about the quality of the biodata and their potential uses and suggests potential improvements in data use and collection. The third chapter discusses the evaluation of the lactation survey. The lactation data are collected as part of the biodata, but these data were evaluated separately. Chapter 3 is comprised of 4 sections, organized as a traditional research report. An Introduction describes the lactation data and the purpose of the evaluation. The Methods section describes the methods used to evaluate the lactation survey, and the Results and Discussion sections present the findings of the evaluation and suggestions for the improvement and use of the lactation data. The fourth chapter presents the evaluation of the winter severity index (WSI). The MDNR collects weather data throughout the winter to try to predict the impact of the winter severity on the deer population. The Introduction of Chapter 4 describes the WSI and the purpose for its evaluation. The Methods section describes the methods used to collect the WSI data and the methods used to evaluate the data. The Results and Discussion sections present the findings of the evaluation, the potential uses of the WSI data, and suggestions for the improvement of the WSI. Each chapter addresses specific objectives for the individual evaluation, but for each survey, my objectives were to: 1. evaluate the procedures used in data collection and analysis to determine if they provide the most accurate data possible; 2. evaluate the statistical validity of the data at the relevant scales; 3. determine if the survey provides the data necessary to accurately satisfy its present uses; and 4. make recommendations on the improvement of the current data collection and analysis procedures or on the development of new procedures. By meeting the above objectives, each evaluation will insure the quality of the data and the analyses in which the data are used. The recommendations will also suggest more accurate and efficient survey methodologies, resulting in a more effective use of MDNR I'CSOUI'CCS. CHAPTER 2 THE BIODATA EVALUATION Introduction Michigan’s current white-tailed deer population estimate greatly exceeds the MDNR’S deer population goal of 1.3 million deer (W. Moritz, MDNR, personal communication). The current estimated population of approximately 2 million deer is split fairly evenly among Michigan’s three regions (MDNR 2000a; see Figure 1 for regional boundaries). The primary means of managing the deer herd to achieve the desired population goal lies in regulating the annual deer harvest, during which Michigan hunters have recently harvested more than 500,000 deer in a single year (F rawley 2000). For the 2000 deer hunting season, the MDNR created harvest regulations to try to meet a target harvest ratio of 3 antlerless deer for every 2 antlered to reduce population growth (MDNR 2000b). The annual harvest is divided among several different seasons, which always include the split archery season from October 1 through November 14 and December 1 through early January, the firearm season from November 15-30, and the muzzleloader season in early December in the Upper Peninsula (UP) and mid December in the Lower Peninsula (LP) (MDNR 2000b). Recently the MDNR has also instituted some special Early and Late Firearm seasons for antlerless deer only to try to further reduce the deer population in areas with especially high deer densities. The MDNR needs a source of biological information to create a profile of the annual deer harvest, draw inferences about the state’s deer herd, develop population estimates, and examine the effects of current management practices. The largest source of such data is the biophysical data, known as the biodata, collected from voluntary deer Northern Lower Peninsula 8; new Bay m m m .... .. out - Southern Lower .. .. 5mm“ __°a.; .... Peninsula Figure 1. Regional (dashed lines) and wildlife management unit (solid lines) boundaries. check stations. The goal of the voluntary check system is not to develop a harvest estimate, but rather to collect information on the harvest composition and the biological characteristics of the deer herd. Hunters in Michigan are not required to register their deer. Instead, they are encouraged to voluntarily bring their deer to a MDNR check station where the biodata are collected. To encourage participation in the voluntary deer checking system, the MDNR provides a patch for every deer a hunter brings to a check station. The check stations are distributed across the state. In 1999, the MDNR maintained 4 highway stations and 75 field stations at field offices and state parks, game areas, and recreation areas (Figure 2). During several days of the firearm season, the four highway check stations (circled in Figure 2) are located along three major southbound arteries and at the Mackinac Bridge. The other check stations are scattered throughout the state. The exact number and location of check stations varies slightly from year to year and has generally been increasing. The check stations are run by MDNR employees and other volunteers who have participated in annual training sessions. The check station workers are trained to collect a variety of data on each deer brought into the check station. Data are collected from each hunter and deer on the location and season of harvest, as well as the sex, age, antler size, lactation status (since 1993), and bovine tuberculosis (TB) status based on chest cavity inspection (since 1996). An example of a check station data sheet is in Appendix 1. Once all of the season’s data are collected, they are transcribed into an SPSS data file. Descriptions of each variable in the SPSS data file and the data contained within them can be found in Appendix 2. These data provide a wealth of information about the Michigan deer herd and annual harvest. - u .r u .n. ...... .. ...---1 . M. ”.0 iii. " 4- _ 4.-- _ ..- ..... .- 1 u m on." 3 nnnnnn no 0 _ 0mm 4.111” c m" i. w. o m o ._ ..lm.nu.uJ-I--.MJ o "m «a ...... LU ..... 0 1.1.1: t m o m n u s 1 .u lit- .I u. r w v m" n n m" a u 0 m V] rill” m . O u. m n. u w 71 _ In _ :- o . o . . KK . M _. -lI . T it i. a a p n 0 III . IIIIIL 3 ,. .1 w w r a... . _ u . m . t. . L W will” . l .......... l A A o u . .rlial.lil . _ . o W m .n n n O IIWIIIIIo m I u . O. . m up w w 0 n m a a nnnnnnn O" n 1 O u C u . r». u“ . _ ‘ n u n n . in: r H J u — _. ~ aw. Figure 2. Locations of the 1999 check stations. Highway check stations are circled. Harvest data are also collected through the annual mail survey of Michigan deer hunters. The mail survey is sent to thousands of randomly selected people who purchased Michigan deer hunting licenses. In 1999, the survey was sent to 5.7% of license buyers and had a 76% response rate (F rawley 2000). The survey asks for information on where the respondent hunted and what the respondent harvested. The statistical design of the random sampling method of the mail survey ensures that it provides a more accurate representation of the deer harvest than do the voluntary check stations, which are not a statistically designed, random representation. The mail survey does not provide as much data on each deer as the biodata, however. For example, the mail survey data does not include information on the age of the deer harvested. Therefore, although the MDNR also collects information on the deer herd using summer herd observations, winter dead deer surveys, deer-vehicle accident reports, and spring pellet surveys, the biodata represent the most comprehensive source of data on the herd. This chapter describes the results of an evaluation of the MDNR check station data collected between 1987 and 1999. The quality of these records is first dependent on the procedures used to collect the data. The procedures should insure that the data are random and accurately represent the true state of the parameter they are used to estimate. Biases in the data could result in inaccurate estimates. The distribution of the biodata is entirely dependent on the distribution of harvested and checked deer, but hunters do not tend to harvest a strictly random sample of the deer population. For example, hunters are more likely to harvest male fawns than female fawns (Coe et al. 1980). Hunters are also more likely to check older, antlered deer than younger does (Bull and Peyton 2000). Sampling regimes that favor a particular geographic area, age class, or sex will provide biased data. I evaluated the methodologies used to collect the biodata to identify biases or sources of error in the biodata. Question 1: Do the biodata represent the composition of the true harvest? Significance The biodata would not reflect the true composition of the harvest if they were susceptible to selection bias or measurement error. The biodata are collected from deer checked at voluntary check stations. The checked deer are therefore not likely a random representation of the true population of harvested deer. Due to hunter attitudes, certain sex and age classifications may be more likely to be checked than others. A pilot study (Bull and Peyton 2000) of Michigan deer hunters suggested that larger and older deer are 'more likely to be checked than smaller, younger deer. Hunters are also more likely to check antlered deer than antlerless deer (Bull and Peyton 2000). The biodata are also susceptible to measurement errors. For example, Ryel et a1. (1961) found that Michigan check station agers tend to under-age older deer (4.5 years old and older) and over-age younger deer. Although the mail survey is probably a more accurate representation of the harvest, it does not contain as much information as the biodata. The biodata are the only data available that provide detailed information about the composition and biological condition of the deer herd and harvest. It is necessary, therefore, to identify possible sources of bias and error within the check station survey process. Methods Although there is no census of harvested deer, the MDNR conducts an annual mail survey to provide an independent and more reliable and random representation of the annual deer harvest than the check station survey. I compared the biodata to the data collected in the mail survey (hereafter called harvest data) to compare the harvest 10 composition as represented by both surveys. I had to first assume that the mail survey provides an unbiased, random representation of the deer harvest. The random sampling procedure used to distribute the mail survey (F rawley 2000) should ensure that the harvest data meets these assumptions. I was able to calculate the percent of deer checked from each county by dividing the number of deer checked from a particular county by the mail survey’s county harvest estimate. Using the biodata and the harvest data, I calculated antlerless to antleredl ratios (the only designations available in the harvest data) to compare the composition of the checked deer to the composition of the harvested deer. By comparing these two surveys, I was able to identify hunter biases toward checking certain deer and geographic biases in the collection process. The second possible source of error is in measurement methods. I had little opportunity, however, to check the accuracy of the aging, sexing, and measuring involved in the data collection process. The sole opportunity to check the aging process was in comparing the ages determined in the field to the ages determined at the Rose Lake Wildlife Research Station when deer were tested for TB in 1999. Deer taken for TB testing are first sent to Rose Lake where they are aged by highly experienced agers. At both the check stations and Rose Lake, the deer are aged using the tooth wear and replacement patterns described by Severinghaus (1949). The Rose Lake agers have more experience than the field agers, however, and I assumed the age determined at Rose Lake ‘ Unless otherwise noted, all ‘bucks’ and ‘antlered’ deer are deer considered antlered according to a definition set by MDNR harvest regulations (used in the mail survey), rather than the biological definition. The differences between these definitions primarily affect yearling (1.5 year old) males whose antlers may be either short spikes or true antlers. The harvest definition defines a buck as any antlered deer with at least one antler greater than 3 inch spikes, placing some yearling males in the antlerless category. The biological definition describes a buck as any male deer that is not a fawn, placing all yearling males in the buck category. 11 was the more accurate age. Comparing the two ages allowed me to estimate the aging error of the field data within several different age categories. Results and Discussion The counties of the UP and Northern LP checked the greatest percent of harvested deer, especially those counties with intensive TB surveillance (Figure 3). The percent of deer checked peaked in 1994 (Figure 4) when the MDNR celebrated 100 years of licensed deer hunting in Michigan (MDNR 1994). Since dropping again in 1995, the percent of harvested deer checked has increased dramatically in the Northeast LP (Figure 4). The counties with the lowest percentages of deer checked in the Southern LP were also generally those counties without check stations (mostly along the border of the Southwestern management unit) (Figure 3 compared to Figure 2). The recent emphasis on checking deer from the Northeastern LP for signs of TB (since the TB testing began in 1996) has caused the higher checking rates in the Northern LP. The MDNR sent mailings to hunters in the TB surveillance region asking them to check their deer (W. Moritz, MDNR, personal communication). The TB outbreak was probably also at least partly responsible for the 1999 increase in the percent of deer checked from all management units (Figure 4) as hunters wanted to assure themselves that their deer were not diseased The greater checking rates in the northern regions of the state and the severe under-representation of the deer from the Southern LP in the biodata will cause statewide data to be biased in favor of the northern areas. The under-representation of the Southern LP also suggests that hunters from the southern counties were less likely to check their % checked [:1 < 5% 5 - 10% 10 - 20% 20 - 30% > 30% Figure 3. Percent of harvested deer checked by county during 1999. The 1999 TB surveillance counties are marked with a “*”. l3 -—X—West UP - i- East UP - - O - -Northwest LP — + . Northeast Lp — o- - Saginaw Bay - ‘A - Southwest LP - - O - - South Central LP —I— Southeast LP 20 18 [:1 I/’ 16 71 l/’ 14 h '3 f\\ ;I- - — - 4 g 12 I V. /’ / . \ a \ . ' / U 10 ‘ - . X, ,/ .1 I" ~ ‘ \ . / \ ¥ / fl \ / E s ’\ * - u .. 4 \\ u . v \ ’ I ’ , m ..... ~ ‘oyu/A. ‘ ’x— -’-' *. 0/0 6 . . I h u ‘ - - ‘~" ‘ ‘ a ' ’0 ‘-‘K ". ...... ‘b‘~L-:‘;’"‘i 4 . - . - t " . . l ‘ ‘.. ' . ~.' """ O ............ 2 o r 1 7 1' r fi' T I' 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 4. Percent of all harvested deer checked from each management unit. deer, therefore not providing enough data to analyze much of the Southern LP on the county level (see Question 9). Many of the southern counties could provide adequate sample sizes for county-level analyses, if a greater proportion of hunters checked their deer from these counties. The tendency of southern Michigan hunters to check their deer may increase, however, if the number and convenience of check stations increases (see Question 3). The disproportionate number of deer checked from the TB counties will cause the data for the Northern LP region and the Northeastern LP management unit to be biased toward the TB counties. If the deer of the TB positive counties are not similar to the deer of the entire Northern LP, regional averages will reflect the status of the Northeastern LP, rather than the entire region. The biodata’s bias toward the TB counties could therefore be of some concern when examining the data at the management unit or regional scales. I next compared the annual trends in the number of deer checked within each region to the estimated harvest numbers. Within the UP, the trends deviated from one another during the early 1990s, but recently have closely tracked one another (Figure 5a). In the Northern LP, the harvest and check numbers follow the same general trend, but their relative positions reversed in 1999 (Figure 5b). In the Southern LP, the number of deer harvested increased dramatically beginning in 1995, but the number of deer checked remained steady (Figure 5c). The lack of sufficient check stations in the Southern LP may explain the absence in a corresponding increase in the number of deer checked as the harvest numbers increased (Figure 2). The number of deer checked in the Southern LP is also significantly less than 10% of deer harvested in every year, although in the UP and Northern LP the number of deer checked is only slightly less than or even greater than (a) Upper Peninsula Number Checked 12000 120000 10000 100000 8000 80000 E E e- (b "I 6000 60000 a w 2 G v: 4000 40000 8 D. 2000 20000 O 1 l l -' 1 i i 1 O 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year (b) Northern LP 25000 250000 20000 200000 2 E t - 5 35000 , ’ 150000g 5 a I... E Q 9 @0000 100000?b z a. 5000 50000 0 l 1 1 1 i. 1 i E 0 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 5. Total number of deer checked (solid line) and total number of deer harvested (broken line) in each region. 16 Number Checked (0) Southern LP 35000 350000 30000 7‘ , 300000 I 25000 to 250000 I. ' 20000 , 200000 0 15000 " "e , - 9 " 4 150000 0 10000 100000 5000 50000 0 l l 4- 1 i l + i 0 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 5 (cont'd). DOJSQMBH .IaqurnN 10% of the deer harvested (Figures 5a-c). The relationship between the total number of deer checked to the total number of deer harvested is very similar to the relationship between the number of antlered or antlerless deer checked and the number of antlered or antlerless deer harvested (Figures 6a—c). Any discrepancies between the trends of the number of deer checked and harvested are therefore due to differences in both the antlered and antlerless deer numbers. The fairly consistent relationship between the number of deer checked and harvested in the northern areas of the state suggests that the biodata from these regions have represented a similar subset of the harvest over the past ten years. Annual data are therefore comparable to one another. The parallel patterns also indicate that the biodata were not dependent on the same group of hunters each year. As more hunters were successful, more hunters checked their deer. The dramatic increase in the harvest data, accompanied by only a slight increase in the check data from the Southern LP indicates that recently a large portion of the harvest has gone unchecked. As this was not the case during the first half of the decade, the earlier data may not be comparable to the most recent data. Although the hunters may have checked an adequate percentage of the harvested deer to theoretically represent the true harvest, the distribution of the checked deer did not appear to be random and the composition of the deer harvested may not be equivalent to the composition of the deer checked. To address this issue, I compared the harvest data’s and biodata’s antlerless to antlered ratios. Although the MDNR uses only the data from the yearling population to calculate the adult buck and doe composition, the total antlerless to antlered ratio was the only ratio I was able to calculate using the harvest l8 +Antlered Checked +Antlerless Checked - .- Antlered Harvested ' 'X - Antlerless Harvested (a) Upper Peninsula 8000 7000 !L 6000 , - ~ 2 g I . E f, 5000 ’ t 5 0 er I: 0 U "I 5 4000 E .9 x _ 2 E 3000 ,- ar o :1 I \ '3 Z ’ \ CD a. 2000 - 1000 0 1 1 1 1 1 1 1 1 O 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year (b) Northern LP 14000 140000 12000 120000 .51 1000002 .93 :1 o E ,2 80000 g D 33 E .9 60000 3 E o g a 40000 a 20000 O 1 1 1 1 1 1 1 1 0 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 6. Total number of antlered and antlerless deer checked and harvested in each region. (c) Sonthern LP 18000 75 180000 16000 . 160000 AK 14000 w 140000 I I . ~ 3 12000 1 I -. I 1 f 120000 :1 I I ‘ I 8 , " I .1: 10000 , .I 100000 0 j ,3" 1... . I 3 8000!. ‘f- _., 80000 a 1 ~ —* z 6000 60000 4000 40000 2000 20000 0 1 1 1 1 1 1 1 1 0 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 6 (cont'd). 20 parse-urn .raqrnnN data. If the biodata and the harvest data represented the same population of harvested deer, the shape of the distributions in Figure 7 would be normal; there should be some variation, but the distribution should peak at 0 (the ratios are the same) and fall off symmetrically on either side. Such a pattern would indicate that the ratio of antlerless to antlered deer was similar between each county’s biodata and harvest data. The distribution of the difference between the harvest ratio and the checked ratio tended to be skewed to the right, however, indicating that counties more frequently had a higher harvest antlerless to antlered ratio than checked ratio (Figure 7). Hunters, therefore, checked a greater proportion of antlered deer than antlerless ones. The biodata do not appear to represent the same population of deer as the complete harvest, which may provide an inaccurate view of the state of the deer herd. Management decisions based on information contained within the biodata could be affected, leading to undesired effects on the composition of the deer herd. In one instance I was able to check the biodata against itself. I looked at the trend of the number of antlerless deer checked as the number of antlerless permits increased (Table 1). When an entire county issued antlerless permits following a year in which no antlerless permits were issued (except block permits) the number of antlerless deer checked increased an average of 622%. When the area of a county that issued antlerless permits increased by at least two-thirds of the county’s area, the number of antlerless deer checked increased an average of 261%. These results suggest that the biodata do not just include records from the same successful hunters every year. When more antlerless permits were available, more hunters were successful, and the number of checked antlerless deer increased. 21 (1)1990 (11) 1991 35 35 3 30 E :1 25 O U 20 S g 15 a 10 5 z 5 - O .1 < -0.4 -0.2 0.0 0.2 > 0.4 < .04 -0,2 0,0 02 > 04 Harvest Ratio - Checked Ratio Harvest Ratio - Checked Ratio (iii) 1992 (iv) 1993 35 35 330 a 30 1: a I:25 5 25 520 5 20 “a “a I. 15 1... 15 .8 .8 a 10 a 10 = 5 z 5 Z 5 0 0 < -0.4 -0.2 0.0 0.2 > 0.4 < -0.4 -0.2 0.0 0.2 > 0.4 Harvest Ratio - Checked Ratio Harvest Ratio - Checked Ratio (v) 1994 (vi) 1995 35 35 g 30 g 30 g 25 E 25 U 20 U 20 "5 “a I- 15 1.. 15 0 0 '2 10 '5 10 :2 5 2 5 O O < -0.4 -0.2 0.0 0.2 > 0.4 < .04 -02 0,0 02 > 04 Harvest Ratio - Checked Ratio Harvest Ratio - Checked Ratio Figure 7. Histograms of the number of counties whose difference between the harvest estimates and biodata estimates of the anterless to antlered ratio falls within the listed categories. 22 (vii) 1996 35 30 g 5 25 9 o 20 h- < -0.4 -0.2 0.0 0.2 > 0.4 Harvest Ratio - Checked Ratio (ix) 1998 35 830 "2 =.25 O 020 ‘5' I-.15 0 £10 < -0.4 -O.2 0.0 0.2 > 0.4 Harvest Ratio - Checked Ratio Figure 7 (cont'd). 23 (viii) 1997 35 830 'g =25 c 020 "e" 11.15 0 510 b Nu 0 < -0.4 -0.2 0.0 0.2 > 0.4 Harvest Ratio - Checked Ratio (x) 1999 35 830 E =25 o 020 "5 1.15 B 510 :1 Z 5— 0- < -0.4 -0.2 0.0 0.2 > 0.4 Harvest Ratio - Checked Ratio Table 1. Increase in the number of antlerless deer checked when antlerless hunting was permitted on at least two-thirds more of the county in Year 2 than in Year 1. County Year 1 Year 2 Area Yr 11 Area Yr 22 % increase3 Mason 1994 1995 0 1 206.25 Mecosta 1994 1995 0 1 796.55 Newaygo 1994 1995 O 1 285.96 Emmett 1994 1995 0 1 1200.00 average 622.19 Gogebic 1998 1999 0 2/3 185.71 Iron 1998 1999 0 2/3 436.59 Kalkaska 1994 1995 0 2/3 100.00 Lake 1994 1995 0 2/3 72.22 Mackinac 1998 1999 0 2/3 1171.43 Missaukee 1994 1995 0 2/3 192.50 Ontonogon 1998 1999 0 2/3 217.65 Houghton 1998 1999 0 2/3 500.00 Muskegon 1987 1988 1/3 1 0.00 Osceola 1994 1995 1/3 1 128.89 Montmorency 1995 1996 1/3 1 405.45 Wayne 1997 1998 1/3 1 0.00 Otsego 1998 1999 1/3 1 175.73 Alpena 1994 1995 1/3 1 109.52 Benzie 1994 1995 1/3 1 537.50 Dickinson 1994 1995 1/3 1 174.26 Iron 1994 1995 1/3 1 411.50 Cheyboygan 1995 1996 1/3 1 156.25 Manistee 1995 1996 1/3 - 1 250.00 Benzie 1997 1998 1/3 1 37.50 Cheyboygan 1997 1998 1/3 1 43 1 .82 Grand Traverse 1997 1998 1/3 1 45.00 average 260.89 l. The area of the county for which antlerless permits were issued in Year 1. 2. The area of the county for which antlerless permits were issued in Year 2. 3. The percent increase in the number of antlerless deer checked from Year 1 to Year 2. 24 The final check of the biodata against the true harvest was the check of the accuracy of the aging techniques. When compared to the age determined at Rose Lake (assumed to be the true age), the age determined in the field decreased in accuracy with increasing age (Table 2). Field personnel always aged fawns correctly and aged yearlings correctly 94.85% of the time (male ages may be more accurate than female ages due to field agers use of antlers as additional evidence). When separated into their individual age categories, deer 2.5 years old or older were aged incorrectly more than 25% of the time in almost all categories. Deer 2.5 years old or younger tended to be overaged (assigned higher than true ages) at the check stations, while older deer tended to be underaged (assigned lower than true ages) at the check stations (Figure 8). The field—determined ages could be used to lump the older deer into a single 2.5+ category with 93.35% accuracy (males ages were less accurate than female ages in this category). Although reducing the number of age categories to three (fawns, yearlings, and 2.5+) would potentially increase the accuracy of the aging process, knowing the complete age structure of population is still necessary to address landscape level issues. Determining the true age of the deer may also be important for public relations issues, because many hunters are interested in knowing the exact age of their deer (H. Hill, MDNR, personal communication). 25 Table 2. Percent of deer aged incorrectly by field personnel according to the ages determined by Rose Lake personnel in 1999. Bold lines indicate deer of several ages were grouped in a single category. Age Male Female Total (in field): N % Incorrect N % Incorrect N % Incorrect fawn 31 0.00 24 0.00 55 0.00 1 547 2.93 171 12.28 718 5.15 2 120 26.67 140 30.00 260 28.50 2+ 170 15.88 386 2.59 556 6.65 3 40 40.00 96 29.17 136 28.46 3+ 50 28.00 246 7.72 296 l 1.1 5 4 7 71.43 60 43.33 67 46.27 5 2 50.00 33 36.36 35 37.14 6+ 1 100.00 57 17.54 58 18.97 26 iUnder—aged IS Over-aged 50 45 4o 35 30 25 20 Number of Deer 15 10 ////////////// N 1.5 Yrs 2.5 Yrs 3.5 Yrs ‘ Rose Lake Age 4.5 Yrs 5.5 Yrs Figure 8. Number of deer given younger ages at the check stations than at Rose Lake (under-aged) or given older ages at the check stations than at Rose Lake (over-aged) in 1999. 27 Question 2: Do the biodata represent the composition of the true population? Significance Data collected from harvested deer, whether at the voluntary check stations or the more structured mail survey, are not necessarily representative of the entire Michigan deer herd. Hunting regulations strictly control the number of antlerless deer that can be harvested. Hunter attitudes also affect harvest composition. Many hunters would rather take a “big buck” than a fawn or a doe (Bull and Peyton 2000). Some deer are also more susceptible to harvest than others. Males may be more susceptible to harvest due to larger home ranges and greater movements (Roseberry and Klimstra 1974). Lone fawns may also be highly susceptible to harvest (Coe et al. 1980). The biodata collected from the harvest may, therefore, not be useful for creating estimates of the true population parameters, but the data may be useful to indicate general trends in the herd. Methods If the biodata represent even a moderately accurate picture of the state’s herd, they should present general trends in antler size and the percent of does lactating (hereafter refered to as the lactation rate for simplicity) that the literature suggests is true of deer biology. I examined the lactation trends of the checked deer by age class and geographic region to compare them to what the literature suggests the true trends should be. I similarly examined beam diameters of checked deer. If the patterns presented in the literature are reflected in the biodata, then the biodata could possibly provide an indicator of general trends among the population as a whole. Eberhardt (1960) also developed a 28 method to check for the accurate representation of fawns in the harvest by comparing the female fawn to 1.5+ doe ratio of one year to the 1.5 doe to~2.5+ doe ratio of the following year. I was unable to perform Eberhardt’s (1960) analysis, however, because necessary assumptions were not satisfied. First, Bull and Peyton (2000) found that hunters are less likely to check fawns than older deer so the biodata would not represent the proportion of fawns in the true harvest. The analysis also assumes that mortality rates are consistent from 6 months to 18 months and from 18 months to 30 months. F awns are more susceptible to predation and harsh winter conditions than older deer, however. I was therefore unable to check how well the biodata may represent the age structure of the deer population. Results and Discussion The percent of does lactating (Figure 9) and mean beam diameter (Figure 10) both increased with increasing age, according to the biodata. Although there is some error associated with the ages of the older deer (Question 1), the general trends of lactation and antler size are still apparent. Scanlon and Urbston (1978) found that higher lactation rates among adults than among yearlings in South Carolina. Ozoga et al. (1994) also found that, in Michigan, older deer are more likely to breed than younger deer, especially under stressful conditions. Increases in beam diameter with increasing age were also expected based on results in the literature (Severinghaus et al. 1950; McCullough 1982; Ozoga et al. 1994). The geographic variations in the lactation rates and antler size are most apparent among the yearlings. The percent of lactating does decreased with increasing latitude 29 Percent Lactating 9O 80 70 60 fl .. / 4O / 30$, 20 10 O T I I 1.5 Years 2.5 Years 3.5 Years 4.5 Years 5.5+ Years Age Figure 9. Percent of does lactating in Michigan, averaged from 1993-1999 (using October data). Error bars are d: 1 standard error. 30 35 33 31 29 27 25 23 21 Mean Beam Diameter (mm) l9 17 15 1.5 / / / / Years 2.5 Years 3.5 Years Age 4.5 Years 5.5+ Years Figure 10. Average beam diameter of all antlered deer checked in Michigan, averaged from 1992-1999. Error bars are :t 1 standard error. 31 (Figure l 1); fewer deer were lactating in the northern than in the southern regions. Ozoga et al. (1994) describe the same pattern and suggest it is due to the greater stress in the more northern regions. Northern Michigan has harsher winters, less productive soils, and less farmland, on which deer could find abundant food, than southern Michigan. The pattern is similar for yearling beam diameters. The deer of the Southern LP had larger average beam diameters than the deer of the Northern LP and UP (Figure 12). As with the lactation trends, the patterns of beam diameters may be due to the quality of the deer habitat or population density across the state. Severinghaus et al. (1950) found that antler development was related to the availability of forage due to habitat quality and deer density in New York. As Ozoga et al. (1994) report, the Northern LP and UP have higher deer population densities than the Southern LP, but poorer deer habitat. The trends of lactation rates and beam diameter in the biodata reflect the trends expected from the literature. The data also support the concern that the recent heavy bias of the data collection in favor of the Northeastern LP, which is not representative of the entire state, could bias the data, leading to erroneous conclusions about the condition of the herd. These results support the use of the biodata to provide an index of the true condition of the state’s entire herd, rather than just the harvested population. If the checked animals were grossly misrepresenting the population as a whole, the trends in lactation and antler size would not follow expected patterns. 32 35 30 N Ll. N C Percent Yearlings Lactating 15 10 5 0 _ Upper Peninsula Northern Lower Peninsula Southern Lower Peninsula Region Figure 11. Percent of yearling does lactating in each region averaged from 1993- 1999 (data from first week of firearm season). Error bars are + 1 standard error. 33 25 N O _ M 1 H O I Average Yearling Beam Diameter (mm) LII 0.. Upper Peninsula Northern Lower Peninsula Southern Lower Peninsula Region Figure 12. Average yearling beam diameter in each region averaged from 1987- 1999. Error bars are + 1 standard error. 34 Question 3: How do the locations of the check stations affect the spatial distribution of the biodata? Significance Many of the problems associated with the biodata are due to under-representation of certain geographic areas or to generally low sample sizes. The only way to improve the situation is to collect additional data from those areas that are under-represented. One way to increase data collection may be to add additional check stations, a tactic that will work only if the location of the check stations affects the tendency of hunters to check their deer. If hunters will check more deer if check stations are more convenient, then the distribution of the check stations across the state may play a large role in the spatial distribution of the biodata. A pilot study of Michigan check stations (Bull and Peyton 2000) found that hunters who check their deer are more likely to live within 16 miles of a check station than do hunters who do not check their deer. Hunters also expressed the importance of the convenience of checking a deer, both in terms of location and the amount of time it takes, in their decision to check a deer (Bull and Peyton 2000). The results of the pilot study suggest that if increasing the number of check stations increases the accessibility and decreases the time it takes to check a deer, hunters will be more likely to check their deer. Methods Accurate lists of check station locations were available for only as far back as 1996 (Table 3), so I first identified any counties in which check stations were added since 35 Table 3. Locations of the check stations from 1996 through 1999. Station Name 1996 1997 1998 1999 Algonac State Park Allegan State Game Area Alma HighwayStation Alpena Field Office Atlanta Field Office Bald Mtn. Recreation Area Baldwin Field Office Baraga Field Office Barry State Game Area Bay City Office Bellaire Field Office Big Rapids Highway Station Birch Run Highway Station Brighton Recreation Area Cadillac Field Office Cass City Field Office Cheboygan Field Office Crane Pond State Game Area Crystal Falls Field Office Curran Check Station Escanaba Field Office Evart Field Office x Fish Point Wildlife Area Flat River State Game Area Fort Custer Recreation Area Fort Wilkins State Park Gaylord Field Office Gladwin Field Office Grand Rapids Field Office Grayling Field Office Gwinn Field Office Harrison Field Office Harsen's Island Holly Wildlife Area Houghton Lake Field Office Indian River Field Office Ishpeming Field Office Island Lake Recreation Area Kalkaska Field Office Lake Hudson Recreation Area Lapeer State Game Area Lincoln Field Office Livonia Office Mackinac Bridge Highway Station Manton Field Office Marquette Field Office x x x X XXXXXXXXXX XXXXXXXXXX XXXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX XX X XXXXXXXXXXX XX XXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXXXXXXXXXXXXXXXXX XXXX XXXX XXXXXXXXXX X X XXXXXXXX X X X X X XXXXXX 36 Table 3 (cont'd). Maybury State Park McLain State Park Mio Field Office Mitchell State Park Morrice Field Office Mt. Clemens Field Office Muskegon State Game Area Naubinway Field Office Nayanquing Point Wildlife Area Newberry Field Office Norway Field Office Onaway Field Office Paris Field Office Pellston Field Office Plainwell Office Platte River Field Office Porcupine Mtn. State Park Port Huron Field Office Posen Check Station Pte. Mouillee State Game Area Rifle River Recreation Area Roscommon Field Office Rose Lake Field Office Sand Lakes Corners Sault Ste. Marie Field Office Shingleton Field Office St. Charles Field Office Standish Field Office Stephenson Field Office Tawas Point State Park Traverse City Field Office Van Buren State Park W J Hayes State Park Warren Dunes State Park Waterford Field Office Waterloo State Game Area West Branch Field Office West Walker Sportsman Club Wolf Lake Fish Hatchery XXXX XX XXXXXXXX XXXX XXXXXXXXXXXX XXXX X XXXXXXXX XXXX XXXXXXXXXXXX XX XXXXXXXXX XXXXXXXX XXXXXXXXXX X XX XXXXXXXX XXXXXXXXXXXXXXXXXXXXX XXXX 37 1996. I then compared the number of deer checked from a particular county for the year the station was added to the number of deer checked in the previous year. I also compared the number of deer harvested (based on the mail survey estimates) from the same counties in the same years to determine if any trends found in the number of deer checked was due to similar changes in the number of deer harvested. Results and Discussion The number of deer checked in a county increased by an average of 88.21% following the addition of a check station to the county (Table 4). The increase in the number of checked deer was accompanied by only a 17.19% increase in the number of deer harvested in the corresponding counties and years (Table 4). The number of deer checked decreased in both Keweenaw and Bay counties following the addition of a check station. The Keweenaw decrease was probably due to the larger decrease in the number of deer harvested. The decrease in the number of checked deer in Bay County is not due to a decrease in harvest, but the total number of deer checked between the two years differs only by seven deer, suggesting the decrease is not as great as it may appear. Adding a check station, therefore, tended to increase the percent of deer checked from the county in which the station was added. Increasing the number of check stations may decrease the pressure on any individual station, reducing the amount of time necessary to check a deer. Perhaps more importantly, adding check stations increases the convenience of checking a deer for the hunters by reducing the amount of time they must drive to reach a check station. The distribution and placement of check stations could be altered 38 Table 4. Change in the number of deer checked and harvested following the addition of a check station to a county. % Change County Station(s) Added Year added Checked Harvested Cheboygan Cheboygan Field Office 1999 53.79 -4.15 Mackinac Mackinac Bridge 1999 290.52 107.23 Emmet Pellston Field Office 1999 228.09 4.93 Antrim Bellaire Field Office 1999 130.77 24.38 Iosco Sand Lake Corners 1999 50.81 -12.39 Roscommon Houghton Lake Field Office 1999 80.42 6.84 Presque Isle Posen Check Station and 1998 89.18 29.64 Onaway Field Office Alcona Curren Check Station 1998 127.11 71.06 Ogemaw West Branch Field Office 1998 24.89 33.24 Bay Nayanquing Point Wildlife Area 1998 -8.14 9.21 Tuscola Fish Point Wildlife Area 1998 8.98 18.50 Keweenaw Fort Wilkins State Park 1997 -17.95 -82.20 Averafi 88.21 17.19 39 to increase the sample size of biodata in different counties or to balance the unequal emphasis on certain counties within the biodata. 40 Question 4: Does the spatial distribution bias the biodata? Significance Due to the voluntary nature of deer checking, the location of check stations, and the distribution of lands available for deer hunting, not all counties are represented equally in the biodata. Each county does not contribute equally to the deer harvest, however, so each county need not check an equivalent number of deer. Ideally the distribution of the biodata would be equivalent to the distribution of the harvest data. For several reasons, however, certain counties may account for more or less of the biodata than they may of the harvest data, potentially biasing the biodata. Methods I calculated the percent of total check station records that each county contributed to the biodata within a particular wildlife management unit in 1999. I then did the same for the harvest data and compared the distribution of the check station data within a management unit to the distribution of the harvest data. Chi-squared tests, comparing the observed biodata distribution to the expected distribution based on the harvest data, determined the statistical significance of the differences between the distributions. Results and Discussion Chi-square tests revealed a statistically significant difference between the distribution of the biodata and the distribution of the harvest data among the counties within all eight management units (Table 5). In the Western UP, the largest differences 41 Table 5. Results of chi-squared tests comparing the 1999 distribution of the biodata to the distribution of the harvest data within the counties of each management unit. 2 Management Unit d.f. x p-value Western UP 10 135.541 <0.001 Eastern UP 3 38.418 <0.001 Northwestern LP 12 1865.851 <0.001 Northeastern LP 13 2468.658 <0.001 Saginaw Bay 9 3980.185 <0.001 Southwestern LP 11 2389.501 <0.001 Southcentral LP 1 1 531.97 <0.001 Southeastern LP 6 419.457 <0.001 42 were in Dickinson and Gogebic counties where the percent harvested exceeds the percent checked (Figure 13a). Both could be due to inaccessibility of check stations; Gogebic did not have a check station in 1999, and Dickinson’s check station was located on the extreme southern edge of the county (Figure 2). In the Eastern UP, the greatest differences were in Chippewa and Mackinac counties (Figure 13b). Mandatory deer checking on Drummond Island probably caused the greater percent of deer checked in Chippewa. The difference in Mackinac is difficult to explain. The placement of the new Mackinac Bridge check station should allow a greater percentage of the harvested deer to be checked. Many of the counties in the Northwestern LP exhibited large differences between the percent deer checked and harvested (Figure 13c). Mecosta, Newaygo, Mason, and Oceana counties were all under-represented in the biodata, probably due to the lack of check stations in the area (Figure 2). Osceola, Lake, Missaukee, and Kalkaska counties may have been over-represented in the biodata because they contained several check stations among them, and they are located near the TB surveillance area. The TB positive counties in the Northeastern LP were all over-represented in the biodata due to hunters checking their deer for TB test results (Figure 13d). The over-representation in these counties caused under-representation in the remaining counties of this management unit. In the Saginaw Bay management unit, the counties without check stations (Figure 2) tended to be underrepresented in the biodata (Figure 136). Clare was over-represented due to a quality deer management project which required participating organizations to check a minimum number of deer (J. Urbain, MDNR, personal communication), while Saginaw’s two check stations may have contributed to its dominance in the biodata. 43 (a) Western UP 1,) O N M N o 1 Percent Checked or Harvested (b) Eastern UP 40 354 301 / 25- 20‘ 15+ 10 -~—— —— Z: 1A A A Chippewa Mackinac Schoolcraft Luce Percent Checked or Harvested Figure 13. The percent that each county contributed to the total number of deer checked (solid) and harvested (striped) in each management unit in 1999. 44 Percent Checked or Harvested Percent Checked or Harvested (c) Northwestern LP 25 20 15+ \\\\\ X m 10- 0- 89"" .319 $9 049 gas as"? 4? @040 be? 63° ”3° 18 (d) Northeastern LP 16 - 14 - 12 4 10 E r I 8 - f “ I 41 . 'f l | 5.5 2 - I I I ‘I‘ o z a \0 4‘ 9 o b . § 0'). '6' \069 do? 630496"0 {5 955$ 665$) 060% (5130‘ x049 V9660 663% 496° \5’0 V4990 0&6??? 0 09° 0 C80 C365> Figure 13 (cont'd). 45 30 Percent Checked or Harvested N M Percent Checked or Harvested O 1 M 1 O 1 (e) Saginaw Bay i\\\\\\\\\\\\\V Clare Saginaw Tuscola Arenac Sanilac Midland Isabella Gladwin Huron (1) Southwestern LP Bay Figure 13 (cont'd). 46 (g) South Central LP Percent Checked or Harvested 10 a 8 _ 6 — V 5 4 « / 5 2 . é _ ol 4 e e o «5 \féfigp 3&0 $15? 06“? 061$ @965 xoéy v .51" 31° a“? 60 (h) Southeastern LP \ \\\\ N M C 1 & o 1 N C i Percent Checkgd or Harvested O — O Genesee St. Clair Figure 13 (cont'd). Lapeer 47 M Oakland Macomb Monroe Wayne Areas with low check-station density are under-represented in the biodata (i.e. Sanilac, Isabella, and Huron counties). In the Southwestern LP, Allegan and Van Buren counties both had two check stations (Figure 2) and were over-represented in the biodata (Figure 13f), while Kalamazoo had no check stations and yet was also over-represented. The border counties of the Southwestern management unit (Branch, Calhoun, and Kent) lacked sufficient check stations and so tended to be under-represented in the biodata. The South Central management unit had the same problem with the western border counties (Hillsdale, Eaton, Ionia, Montcalm) (Figure 13 g). The distribution of the biodata and harvest data in the Southeastern LP (Figure 13h) did not appear to be related to the distribution of check stations; Genesee county had no check stations and yet was over-represented in the biodata, while Lapeer did have a check station and was under-represented. Generally, the management units provide the most practical and statistically valid division for combining and averaging the biodata. Ideally the distribution of the data within each management unit should reflect the harvest distribution as closely as possible. The over— and under- representation of particular counties within the biodata is usually due to the distribution of check stations. Opening new check stations in areas that are under-represented (such as many counties in the Southern LP) could balance the distribution of the biodata throughout the management units. 48 Question 5: Does the seasonal distribution bias the biodata? Significance The majority of the biodata are collected from deer harvested during the firearm season, both because the majority of the deer are harvested during the firearm season and because the highway check stations are only open during the firearm season. If the data harvested during the firearm season do not represent the same population as the deer harvested during the other seasons, especially the archery season, then the biodata could be biased in favor of the population harvested during the firearm season. Methods Although the majority of the biodata come from deer harvested during the firearm season, the second largest source of data is the archery season. I therefore compared the composition of the firearm season and archery season to explore any differences between the two seasons in the age structure of the antlered and antlerless harvest separately and the harvest composition (antlered vs. antlerless). All comparisons were made using Pearson’s chi-squared test for each region and year separately. I also compared the biodata ratio of antlerless to antlered deer in the archery season, firearm season, and all seasons combined to the corresponding harvest ratio of the same seasons. Results and Discussion Generally, over 80% of the biodata were collected from deer harvested during the firearm season, although usually no more than 70% of the harvest came from the firearm 49 season (Figure 14). The difference in the percent of data from the firearm season and the percent of deer harvested during the firearm season is probably due to the highway check stations. The highway check stations provide a convenient location for many hunters to check their deer. Over 15% of the firearm biodata have been collected at highway check stations over the past thirteen years (Figure 15). The majority of the non-firearm season biodata are collected from deer harvested during the archery season. In most cases, the composition of the firearm harvest was significantly different from the composition of the archery harvest. For the past decade, the antlered to antlerless ratio of the archery season has differed significantly from that of the firearm season every year (Table 6). The firearm season generally had a higher proportion of antlered deer than the archery season, except for a few year in the Southern LP. The age structure of the buck harvest was significantly different between the two seasons in all cases except recently in the UP (Table 7). Generally, the archery harvest consisted of a higher proportion of yearlings than the firearm harvest. The two seasons differed less in the composition of the antlerless harvest. Although the Northern LP always presented Significant differences in the antlerless harvest (except in 1999), the significance of the differences in the UP and the Southern LP tended to fluctuate (Table 8). Mattson Hansen (1998) reported similar results in her comparison of Michigan’s archery and firearm data using smaller geographical units. As Mattson Hansen (1998) reported, the causes of these differences are unknown but could be related to biological factors, equipment biases, or hunter selection biases that differ between archery and firearm season. The significant differences in the composition between the archery and the firearm season indicate that when the data of the two seasons are combined in a single 50 +Archery-Checked ' ‘I " Archery-Harvest + Firearm-Checked ' i ' Firearm-Harvest 100 Percent Deer Checked or Harvested 0 T I I I I I I 1990 1991 1992 1993 1994 1995 1996 1997 Year I 1998 1999 Figure 14. Percent of deer checked during firearm and archery season and percent of deer harvested during archery and firearm season in Michigan. 51 Percent of Checked Deer 30 ,. /\/\ . .-/ V\/\ 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 15. Percent of the checked deer harvested during firearm season that are checked at highway check stations: Alma, Big Rapids, Birch Run, and the Mackinac Bridge (added in 1999). 52 Table 6. The number (and proportion) of deer of each harvest-type category checked from each region and season. The chi-squared tests compared the composition of the firearm and archery seasons in the biodata. All tests have 1 degree of freedom. Firearm Archery Year Region Antlered Antlerless Antlered Antlerless I: p—value 1987 UP 3900 (0.6) 2566 (0.40) 137 (0.49) 141 (0.51) 13.508 <0.001 NLP 8325 (0.70) 3605 (0.30) 731 (0.43) 979 (0.57) 489.864 <0.001 SLP 3165 (0.63) 1849 (0.37) 554 (0.61) 350 (0.39) 1.111 0.292 1988 UP 4344 (0.83) 904 (0.17) 143 (0.51) 137 (0.49) 174.788 <0.001 NLP 8739 (0.64) 4983 (0.36) 727 (0.44) 933 (0.56) 247.543 <0.001 SLP 3484 @58) 2475 (0.42) 616 (0.63) 362 (0.37) 7.099 0.008 1989 UP 4430 (0.78) 1217 (0.22) 200 (0.52) 183 (0.48) 138.421 <0.001 NLP 7053 (0.60) 4656 (0.40) 753 (0.41) 1076 (0.59) 235.536 <0.001 SLP 3810 (0.56) 2958 (0.44) 743 (0.59) 519 (0.41) 2.885 0.089 1990 UP 4175 (0.79) 1141 (0.21) 182 (0.51) 176 (0.49) 144.377 <0.001 NLP 8358 (0.61) 5327 (0.39) 871 (0.47) 993 (0.53) 139.967 <0.001 SLP 3215 (0.57) 2449 (0.43) 748 (0.64) 426 (0.36) 19.286 <0.001 1991 UP 4339 (0.78) 1232 (0.22) 194 (0.39) 304 (0.61) 366.491 <0.001 NLP 7658 (0.71) 3183 (0.29) 836 (0.37) 1394 (0.63) 893.241 <0.001 SLP 3288 (0.60) 2237 (0.40) 727 (0.55) 593 (0.45) 9.644 0.003 1992 UP 3962 (0.74) 1396 (0.26) 197 (0.44) 248 (0.56) 178.209 <0.001 NLP 5353 (0.67) 2622 (0.33) 719 (0.39) 1122 (0.61) 499.408 <0.001 SLP 2907 (0.62) 1782 (0.38) 830 (0.57) 623 (0.43) 11.056 0.001 1993 UP 4424 (0.90) 514 (0.10) 239 (0.42) 331 (0.58) 893.77 <0.001 NLP 5567 (0.78) 1542 (0.22) 616 (0.44) 783 (0.56) 691.601 <0.001 SLP 2922 (0.63) 1691 (0.37) 863 (0.59) 595 (0.41 8.136 0.004 1994 UP 6967 (0.87) 1052 (0.13) 427 (0.41) 620 (0.59) 1308.37 <0.001 NLP 9180 (0.92) 812 (0.08) 1076 (0.49) 1137 (0.51) 2525.739 <0.001 SLP 4856 (0.67) 2435 (0.33) 1276 (0.62) 794 (0.38) 17.555 <0.001 1995 UP 5297 (0.65) 2807 (0.35) 426 (0.47) 482 (0.53) 119.88 <0.001 NLP 8479 (0.80) 2101 (0.20) 1111 (0.49) 1136 (0.51) 925.71 <0.001 SLP 4641 (0.64) 2587 (0.36) 1232 (0.58) 876 (0.42) 23.242 <0.001 1996 UP 3325 (0.69) 1471 (0.31) 227 (0.44) 294 (0.56) 140.608 <0.001 NLP 7514 (0.65) 4100 (0.35) 915 (0.48) 975 (0.52) 183.77 <0.001 SLP 4174 (0.55L 3355 (0.45) 1407 (0.62) 848 (0.38) 34.262 <0.001 1997 UP 2545 (0.79) 664 (0.21) 146 (0.39) 224 (0.61) 282.381 <0.001 NLP 7419 (0.66) 3881 (0.34) 941 (0.44) 1206 (0.56) 365.449 <0.001 SLP 3742 (0.47) 4222 (0.53) 1307 (0.56) 1039 (0.44) 55.21 <0.001 1998 UP 3319 (0.88) 441 (0.12) 222 (0.44) 284 (0.56) 623.186 <0.001 NLP 7816 (0.48) 8490 (0.52) 1154 (0.43) 1554 (0.57) 26.363 <0.001 SLP 3964 (0.49) 4143 (0.51) 1306 (0.59) 902 (0.41) 72.999 <0.001 1999 UP 5287 (0.77) 1577 (0.23) 412 (0.50) 419 (0.50) 290.665 <0.001 NLP 9825 (0.51) 9516 (0.49) 1217 (0.49) 1287 (0.51) 4.279 0.039 SLP 3845 (0.48) 4133 (0.52) 1510 (0.62) 938 (0.38) 136.415 <0.001 53 Table 7. The number (and proportion) of antlered deer of each age category checked from each region and season. The chi-squared tests compared the antlered deer age composition of the firearm and archery seasons in the biodata. All tests have 1 degree of freedom. Firearm Archery Year Region 1.5 2.5+ 1.5 2.5+ x2 p-value 1987 UP 2110(0.58) 1542(0.42) 100 (0.76) 32 (0.24) 16.955 <0.001 NLP 5797 (0.72) 2290 (0.28) 521(0.76) 164(0.24) 6.000 0.014 SLP 2111(0.69) 964 (0.31) 405 (0.78) 111(022) 20.389 <0.001 1988 UP 2252 (0.52) 1882 (0.48) 97 (0.70) 41 (0.30) 13.494 <0.001 NLP 5791 (0.68) 2679 (0.32) 512(077) 149 (0.23) 23.685 <0.001 SLP 2396 (0.71) 998 (0.29) 464 (0.80) 117(020) 21.109 <0.001 1989 UP 1630(0.43) 2137 (0.57) ll6(0.63) 69 (0.37) 27.001 <0.001 NLP 3404 (0.39) 2152 (0.61) 506 (0.78) 140 (0.22) 72.302 <0.001 SLP 2472 (0.69) 1122(031) 544 (0.78) 154 (0.22) 23.453 <0.001 1990 UP 1714 (0.43) 2291 (0.57) ll3(0.65) 61 (0.35) 33.238 <0.001 NLP 5159 (0.64) 2933 (0.36) 584 (0.74) 206 (0.26) 32.575 <0.001 SLP 2109 (0.68) 1011(032) 550 (0.78) 154 (0.22) 30.058 <0.001 1991 UP 1899 (0.47) 2165 (0.53) 103 (0.57) 79 (0.43) 6.805 0.009 NLP 4882 (0.66) 2517(034) 598 (0.78) 173 (0.22) 42.395 <0.001 SLP 2095 (0.66) 1074 (0.34) 510(075) 171 (0.25) 19.752 <0.001 1992 UP 1389 (0.38) 2249 (0.62) ll8(0.63) 70 (0.37) 45.260 <0.001 NLP 3308 (0.65) 1799 (0.35) 499 (0.77) 147 (0.33) 39.843 <0.001 SLP 1859 (0.66) 959 (0.34) 592 (0.77) 181(0.33) 31.551 <0.001 1993 UP 1765(0.42) 2435 (0.58) 132 (0.59) 91(041) 25.484 <0.001 NLP 3206 (0.59) 2201 (0.41) 396 (0.73) 149 (0.27) 37.023 <0.001 SLP 1758 (0.62) 1059 (0.38) 575 (0.72) 220 (0.28) 26.678 <0.001 1994 UP 3798 (0.57) 2832 (0.43) 286 (0.71) 119(029) 27.860 <0.001 NLP 5739 (0.66) 3003 (0.34) 718(0.74) 253 (0.26) 26.989 <0.001 SLP 3003 (0.65) 1592 00.35) 873 (0.76) 275 (0.24) 47.855 <0.001 1995 UP 2600 (0.53) 2276 (0.47) 272 (0.72) 106 (0.28) 49.158 <0.001 NLP 5888 (0.73) 2185 (0.27) 807 (0.82) 172 (0.18) 40.887 <0.001 SLP 2913(0.67) 1410(033) 825 (0.76) 267 (0.24) 27.191 <0.001 1996 UP 897 (0.29) 2168 (0.71) 92 (0.46) 109 (0.54) 24.340 <0.001 NLP 4599 (0.63) 2667(0.37) 639 (0.76) 206 (0.24) 50.281 <0.001 SLP 2827 (0.70) 1190 (0.30) 1004(0.78) 288 (0.22) 26.168 <0.001 1997 UP 678 (0.28) 1760 (0.72) 42 (0.35) 77 (0.65) 3.142 0.076 NLP 4562 (0.64) 2594 (0.36) 622 (0.74) 216(0.26) 36.100 <0.001 SLP 2435 (0.67) 1200 (0.33) 887 (0.75) 300 (0.25) 25.004 <0.001 1998 UP 1991 (0.62) 1230 (0.38) 127 (0.62) 79 (0.38) 0.002 0.963 NLP 5001 (0.66) 2592 (0.34) 773 (0.74) 270 (0.26) 28.168 <0.001 SLP 2542 (0.66) 1290 (0.34) 929 (0.77) 281 (0.23) 46.735 <0.001 1999 UP 3007 (0.58) 2178 (0.42) 225 (0.60) 147(040) 0.884 0.347 NLP 5905 (0.62) 3608 (0.38) 818(0.73) 309 (0.27) 47.841 <0.001 SLP 2540 (0.69) 1163 (0.31) 1101 (0.79) 295 (0.21) 52.423 <0.001 54 Table 8. The number (and proportion) of antlerless deer of each age category checked from each region and season. The chi-squared tests compared the antlerless composition of the firearm and archery seasons in the biodata. All tests have 2 degrees of freedom. Year Reg. 0.5 Firearm 1.5 2.5+ 0.5 Archery 1.5 2.5+ 213 p-value 1987 UP NLP SLP 1086 (0.43) 1330 (0.38) 801 (0.44) 368 (0.15) 737 (0.21) 443 (0.24) 1051 (0.42) 1461 (0.41) 576 (0.32) 43 (0.33) 420 (0.45) 156 (0.46) 21 (0.16) 206 (0.22) 90 (0.27) 67 (0.51 ) 313 (0.33) 91 (0.27) 5.852 21.928 2.961 0.054 <0.001 0.227 1988 UP NLP SLP 284 (0.34) 1779 (0.37) 1049 (0.43) 168 (0.20) 387 (0.46) 1095 (0.23) 1970 (0.41) 631 (0.26) 763 (0.31) 33 (0.26) 351 (0.40) 174 (0.50) 34 (0.27) 258 (0.29) 82 (0.23) 59 (0.47) 269 (0.31) 94 (0.27) 4.503 35.673 5.81 0.105 <0.001 0.055 1989 UP NLP SLP 392 (0.41) 1639 (0.42) 1217 (0.43) 144 (0.15) 707 (0.18) 732 (0.26) 431 (0.45) 1546 (0.40) 895 (0.31) 45 (0.26) 431 (0.44) 250 (0.50) 46 (0.27) 223 (0.23) 114 (0.23) 79 (0.46) 318 (0.33) 135 (0.27) 20.369 20.154 9.257 <0.001 <0.001 0.010 1990 UP NLP SLP 344 (0.32) 1915 (0.37) 987 (0.41) 235 (0.22) 484 (0.46) 1095 (0.21) 2199 (0.42) 604 (0.25) 795 (0.33) 50 (0.29) 422 (0.46) 199 (0.48) 43 (0.25) 232 (0.25) 105 (0.25) 78 (0.46) 271 (0.29) 108 (0.26) 1.054 54.717 9.487 0.590 <0.001 0.009 1991 UP NLP SLP 405 (0.36) 1245 (0.40) 941 (0.43) 175 (0.16) 553 (0.18) 481 (0.22) 543 (0.48) 1303 (0.42) 775 (0.35) 93 (0.33) 618 (0.47) 245 (0.44) 59 (0.21) 288 (0.22) 141 (0.25) 130 (0.46) 422 (0.32) 171 (0.31) 4.702 41.333 5.147 0.095 <0.001 0.076 1992 UP NLP SLP 425 (0.34) 930 (0.37) 765 (0.44) 238 (0.19) 548 (0.22) 428 (0.24) 584 (0.47) 1032 (0.41) 555 (0.32) 64 (0.29) 406 (0.39) 288 (0.49) 62 (0.28) 264 (0.25) 137 (0.23) 94 (0.43) 375 (0.36) 168 (0.28) 9.645 9.537 4.298 0.008 0.008 0.1 17 1993 UP NLP SLP 208 (0.42) 568 (0.38) 707 (0.43) 93 (0.19) 295 (0.20) 396 (0.24) 194 (0.39) 637 (0.42) 558 (0.34) 91 (0.32) 352 (0.48) 235 (0.42) 69 (0.24) 161 (0.22) 154 (0.27) 127 (0.44) 216 (0.30) 173 (0.31) 8.607 35.43 3.217 0.014 <0.001 0.200 1994 UP N LP SLP 389 (0.38) 296 (0.38) 988 (0.42) 212 (0.21) 155 (0.20) 564 (0.24) 415 (0.41) 333 (0.42) 814 (0.34) 194 (0.33) 447 (0.42) 345 (0.46) 131 (0.22) 242 (0.23) 185 (0.25) 264 (0.45) 385 (0.36) 216 (0.29) 4.661 8.462 7.974 0.097 0.015 0.019 1995 UP NLP SLP 940 (0.37) 627 (0.31) 956 (0.38) 503 (0.20) 487 (0.24) 606 (0.24) 1079 (0.43) 881 (0.44) 928 01.37) 104 (0.24) 410 (0.39) 364 (0.44) 135 (0.31) 296 (0.28) 195 (0.45) 347 (0.33) 213 (0.26L257 (0.31) 40.339 36.576 12.004 <0.001 <0.001 0.002 1996 UP NLP SLP 390 (0.29) 1 1 19 (0.28) 1341 (0.41) 255 (0.19) 871 (0.22) 729 (0.22) 714 (0.53) 1965 (0.50) 1226 (0.37) l 66 (0.24) 293 (0.33) 339 (0.42) 55 (0.20) 255 (0.28) 186 (0.23) 156 (0.56) 351 (0.39) 278 (0.35) 2.721 34.735 1.854 0.256 <0.001 0.396 1997 UP NLP SLP 237 (0.37) 1132 (0.30) 1613 (0.39) 112 (0.18) 721 (0.19) 969 (0.23) 285 (0.45) 1918 (0.51) 1580 (0%) 46 (0.24) 327 (0.29) 336 (0.34) 32 (0.16) 257 (0.23) 262 (0.26) 117 (0.60) 537 (0.48) 397 (0.40) 15.408 7.978 9.198 <0.001 0.019 0.010 1998 UP NLP SLP 151 (0.35) 2668 (0.32) 89 (0.21) 188 (0.44) 1635 (0.20) 3914 (0.48) 1635(0.41) 898 (0.22) 1480(0.37) 68 (0.25) 447 (0.31) 355 (0.4;) 69 (0.25) 360 (0.25) 201 (0.23) 138 (0.50) 639 (0.44) 305 (0.35 8.774 18.896 0.746 0.012 <0.001 0.689 1999 NLP SLP 423 (0.28) 278 (0.18) 808 (0.54) 2671 (0.29) 1967 (0.21) 4578 (0.50) 1613 (0.40) 897 (0.22) 1519 (0.38) 79 (0.20) 348 (0.29) 330 (0.37) 99 (0.25) 274 (0.22) 238 (0.27) 217 (0.55) 597 (0.49) 325 (0.36) 14.744 0.821 8.195 0.001 0.663 0.017 55 analysis, the results of the analysis will be heavily biased by the effect of the firearm season data. For example, Mattson Hansen (1998) found that SAK model estimates differ when the firearm and archery seasons’ data are combined or when the firearm season’s data are considered separately. I found that the firearm and archery data considered separately provide a more accurate view of the true harvest of their respective seasons, than the combined data provide of the entire harvest (Figure 16). The antlerless to antlered ratios from the firearm and archery seasons’ biodata generally match more closely to the same ratio calculated using the harvest data than does the combined season data (Figure 16). The biodata do appear to be biased in favor of the firearm data. The composition of the biodata is not equal to that of the true harvest, and combining the data of both the archery and firearm seasons may provide a less accurate picture of the true harvest than considering them separately. 56 All Seasons I Archery El Firearm N 0'5 N & N N \K\ N o u—s oo i—n Oi g i— I—I oo o N «h 1 H Number of Counties < -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 >0.4 Harvest Ratio - Checked Ratio Figure 16. Histogram of the number of counties in the archery season, firearm season, and all seasons combined whose difference between the harvest estimates and biodata estimates of the antlerless to antlered ratio falls within the listed catgories in 1999. 57 Question 6: Does the composition of checked deer differ between private and public lands? Significance Many hunters believe that the public land deer harvest has a different age and sex composition from that of the private land harvest. The tendencies of hunters to check their deer are also thought to differ between those hunting on private and public land (H. Hill, MDNR, personal communication). If the composition of the harvest differed between public and private lands, and the checking tendencies differed between public and private land hunters, then the biodata could be biased. Since 1998, therefore, the MDNR has collected information on whether checked deer were taken on private or public land (data collected since 1997 in the harvest data) so it is now possible to identify differences in the checking tendencies and composition between private land and public land harvests. Methods Although Michigan has separate quotas for public and private land harvests, the MDNR has collected data on the private or public land harvest classification only since 1998 in the biodata and since 1997 in the harvest data. The 1997 and 1998 harvest data were not available, so I restricted the evaluation to the 1999 data. I compared the private land harvest composition to the public land harvest composition as reported in the biodata, and I compared the harvests reported in the mail survey and biodata on public and private lands. All comparisons were made using Pearson’s chi-squared tests. One 58 potential error in the data is the identification of Commercial Forest Reserve (CF R) lands as public lands. These private lands get a tax exemption if they are open to hunting, and many hunters may report CF R lands to be public lands since they are usually open to hunting (W. Moritz, MDNR, personal communication). The errors should be consistent between the biodata and the harvest data, however, and should have little effect on the relative relationships between the two datasets. Results and Discussion Statewide, approximately 17% of the deer harvest was taken on public lands in 1999 according to the mail survey. The distribution of the harvest across private and public lands varied among the regions as the availability of public lands varies. More than one third of the UP’s harvest came from public lands (Table 9) where public land is abundant (Figure 17). In the Southern LP, however, there is’very little public land (Figure 17) and less than 10% of the harvest came from public lands (Table 9). The percent of deer checked from public lands greatly exceeded the percent of deer harvested from public lands in both regions of the LP, implying that hunters were more likely to check their deer taken from public lands than from private lands in these regions (Table 9). Hunters hunting on public land have to leave their property and are more likely to pass a check station while transporting their deer than hunters hunting on private land. Check stations also tend to be located on public land hunting areas, which could increase the tendency of public land hunters to check their deer. In the UP, however, the percent of deer checked from public lands was only slightly higher than the percent of deer harvested from public lands (Table 9). In all regions, more deer were checked and 59 Table 9. The number (and percent) of deer harvested and checked from private and public lands in 1999. Region Public Harvested Checked Private Harvested Checked Upper Peninsula Northern Lower Peninsula Southern Lower Peninsula 23657 (31.7) 2577 (32.9) 46314 (23.5) 7111 (30.9) 23394 (8.8) 1524 (13.6) 51001 (68.3) 5247 (67.1) 150626 (76.5) 15873 (69.1) 242579 (91.2) 9705 (86.4) 60 Figure 17. Distribution of public lands (shaded areas) in Michigan. 61 harvested from private lands than from public lands. On both public (Table 10) and private (Table 11) lands, the harvest composition differed significantly between the mail survey results and the biodata results. The biodata, therefore, do not represent the true harvest composition on either private or public land. The biodata also suggest there are significant differences in the age composition of the deer harvested on private and public land. The age composition of the antlered and antlerless deer differed significantly between private and public land in all regions except the antlerless harvest in the Southern LP (Table 12). The harvest composition also differed significantly between private and public lands in all regions except the Southern LP (Table 13). These differences between the private and public lands indicate that, because the majority of deer are harvested and checked from private lands, the biodata reflect the condition of the deer harvested on private lands, which is different from that of the deer harvested on public lands. The situation may not be as serious as these results imply. In much of the state, hunters are more likely to check deer from public lands than private lands. The motivation for checking deer may be different for private and public land hunters. Private land hunters may check their deer to get accurate sex, age, and beam measurements so they can keep track of the deer herd on their lands. Public land hunters may check their deer to cooperate with the MDNR. Different motivations may skew the picture of the herd composition the biodata provides. The biodata do not represent the true harvest, so the differences seen between the composition of the deer checked from private and public lands may only be an artifact of checking habits and not a reflection of true differences in the harvest. 62 Table 10. The 1999 numbers (and proportions) of antlered and antlerless deer harvested on public land according to the mail survey and the number (and proportion) checked from public land in the biodata. The chi-squared tests compare the public land harvest composition as reported in the mail survey to that reported in the biodata. 2 Region Harvest Mail Biodata X. d.f. p-value Upper Antlered 19006 (0.80) 2154 (0.86) 49.149 1 <0.001 Peninsula Antlerless 4632 (0.20) 345 (0.14) Northern Antlered 26720 (0.58) 3538 (0.53) 59.019 1 <0.001 LP Antlerless 19606 (0.42) 3174 (0.47) Southern Antlered 10366 (0.44) 724 (0.50) 19.039 1 <0.001 LP Antlerless 13056 (0.56) 720 (0.50) 63 Table 11. The 1999 numbers (and proportions) of antlered and antlerless deer harvested on private land according to the mail survey and the number (and (proportion) checked from private land in the biodata. The chi-squared tests compare the private land harvest composition as reported in the mail survey to that reported in the biodata. Region Harvest Mail Biodata X. d.f. p-value Upper Antlered 30310 (0.59) 3448 (0.67) 117.62 1 <0.001 Peninsula Antlerless 20676 (0.41) 1681 (0.33) Northern Antlered 70946 (0.47) 7410 (0.49) 22.422 1 <0.001 LP Antlerless 79684 (0.53) 7676 (0.51) Southern Antlered 108536 (0.45) 4652 (0.51) 125.25 1 <0.001 LP Antlerless 134055 (0.55) 4531 (0.49) 64 N 82 N Sou A383“ A285 @538 @8882 6868 828 a: 82.2.5. .5 Bod _ 63 A88: €3va A385 63.8 a: 8.22.... 52.2.8 Sod N 83 A888; $6886 @888 A884:- am8m5 5888 82.2.5 .3 25¢ _ E3 A883 93.838 . A8862 33.885. 8.22.... 5222 Bed N 8? $3. 2 5.83 5.88 38% p233 @6843. 8222.... 252.3 mm; 2 :3. 898% 23.882 A3822 A8888 622......- .25: +3 3 m... +3 3 m... 25. 2:9»-.. a... x 33:.— SSEQ «metal nemwom 65w— 3§ta mo 35 8 8360888 wea— ozna 05 8888 memo“ Begum-Eu 2E. 65: 333 was 033.:— Eat woo—cone bowoumo owe :23 no .808 macro—:3 Ea 822:8 mo Amcomtoaoa 2:8 838:: 32 23. .N— 0.3—ah. 65 Table 13. The 1999 numbers (and proportions) of antlered and antlerless deer checked from private and public lands. The chi-squared tests compare the private land harvest composition to that of public lands. Region Harvest Private Public x2 d.f. p-value Upper Antlered 3448 (0.67) 2154 (0.86) 309.964 1 <0.001 Peninsula Antlerless 1681 (0.33) 345 (0.14) Northern Antlered 7410 (0.49) 3538 (0.53) 23.99 1 <0.001 LP Antlerless 7676 (0.51) 3174 (0.47) Southern Antlered 4652 (0.51) 724 (0.50) 0.135 1 0.713 LP Antlerless 4531 (0.49) 720 (0.50) 66 Question 7: Does the composition of checked deer differ between highway and field check stations? Significance Most of Michigan’s check stations are field stations located at MDNR field offices, and state parks, game areas, and recreation areas. Traditionally, however, the MDNR has maintained three highway check stations at Birch Run, Alma, and Big Rapids. In 1999, a fourth highway check station was added at the Mackinac Bridge. These four check stations are located along major southbound arteries in Michigan (Figure 2) and are meant to be a convenient place for hunters who hunt in the UP or Northern LP to stop and check their deer on their way home to southern Michigan. Unlike the field stations, the highway check stations are only open during several days of the firearm season, but they check thousands of deer every year. The Alma highway check station will close after the 2000 hunting season due to the Michigan Department of Transportation’s closing of the rest area and the off-ramp (H. Hill, MDNR, personal communication). The significance of the highway check stations to the collection of the firearm biodata and the impending loss of the Alma check station suggested I should examine any differences between the biodata collected at the highway check stations and the data collected at the field check stations. Methods Although not every check station has an individual code in the ‘station’ variable of the SPSS biodata file, each highway check station does have its own designation 67 (Appendix 2). I was therefore able to determine whether each record in the biodata was collected at a highway station or a field station. The highway check stations are open only during the firearm season, so in comparing the field data to the highway data I chose to compare only firearm season data. All other seasons were eliminated from the analyses. I then divided the data among the three regions and compared the composition of the biodata collected at the field stations to the data collected at the highway stations among the three regions since 1987. All comparisons were made using Pearson’s chi- square test. Results and Discussion The data collected at the highway check stations has made up from 16.0% to 28.5% of firearm season biodata and from 13.8% to 25.8% of all biodata collected over the past 13 years (Figure 18). The decrease in the percent of deer checked at the highway check stations over the past several years may reflect the recent increase in the number of field stations. The highway check stations collect data primarily from deer harvested in the UP (Mackinac Bridge station), the Northeastern LP (Birch Run station), and the Northwestern LP (Alma station and Big Rapids station) (Figure 19). Although some people may live and hunt in the counties immediately surrounding each station and simply come to the highway station because it is nearby, many people appear to be checking their deer at the highway stations as they travel home from their hunting grounds. As a consequence, more of the data are collected from public lands at highway stations than at field stations (Table 14). Many hunters from southern Michigan, where there is little public land available for hunting, travel to the Northern LP or the UP to hunt 68 30 25 =8 N O \ 15 Percent of Biodata 10 0 Y I T T I 1987 1988 Year I 1989 1990 1991 1992 1993 1994 I 1995 l 1996 if 1997 1998 1999 Figure 18. The percent of the firearm (solid line) and total (dashed line) biodata collected at the highway check stations: Ahna, Birch Run, Big Rapids, and the Mackinac Bridge (added in l 999). 69 é, Birch Run Figure 19. Harvest locations of the deer checked at the four highway check stations in 1999. Approximate station locations are marked as white (Alma, Birch Run, Big Rapids) or black (Mackinac Bridge) circles. 70 Table 14. The number (and proportion) of deer checked from public and private lands at highway and field stations. The chi-squared tests compare the land-type composition of deer checked at the highway stations to that of those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Highway Field Year Region Public Private Public Private x2 p-value 1998 UP 139 (0.43) 185 (0.57) 1256 (0.36) 2267 (0.64) 6.747 0.009 NLP 1531 (0.38) 2509 (0.62) 3448 (0.27) 9517 (0.73) 189.989 <0.001 SLP 40 (0.09) 395 (0.91) 899 (0.11) 6993 (0.89) 1.987 0.159 1999 UP 552 (0.48) 589 (0.52) 1662 (0.29) 4110 (0.71) 167.849 <0.001 NLP 1601 (0.39) 2458 (0.61) 4680 (0.29) 11377 (0.71) 159.971 <0.001 SLP 48 (0.10) 415 (0.90) 1069 (0.14) 6812 (0.86) 3.855 0.050 7] on public land. The land-type composition of the harvest seen at the highway check stations could be explained if fewer hunters from southern Michigan travel north to hunt on private land than they do to hunt on public land. The highway and field check stations differed not only in who checked the deer there, but in what deer were checked. In regions and years with significant differences, hunters tended to check a greater proportion of antlered deer at highway check stations than at field check stations (Table 15). Hunters must, therefore, have checked a greater proportion of antlerless deer at field check stations than at highway stations (Table 15). Although there is a bias against checking antlerless deer (Question 1) hunters who hunt on private land may be more interested in checking all deer they harvest to get accurate data on the deer from their lands. The greater tendency of private land hunters to check their deer at field stations could lead to the difference in the composition of antlered and antlerless checked deer at highway and field check stations. The age composition of the checked deer also differed between highway and field check stations. The differences in age composition were found primarily among the checked antlered deer (Table 16) while the antlerless deer age compositions tended to be more similar (Table 17). Among the years and regions where there were significant differences, a greater pr0portion of yearling antlered deer tended to be checked at highway stations than at field stations. The difference in age composition is more difficult to explain than the difference in harvest-type composition, because the pattern is opposite from what I would expect based on the land-type composition (Question 6). There are, however, a few possible explanations. If private land owners were practicing self-imposed Quality Deer Management (QDM) on their own land, they would have 72 Table 15. The number (and proportion) of antlered and antlerless deer checked at highway and field stations. The chi-squared tests compare the harvest-type composition of deer checked at the highway stations to that of those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Highway Field Year Region Antlered Antlerless Antlered Antlerless x2 p-value 1987 UP 285 (0.93) 22 (0.07) 3615 (0.59) 2544 (0.41) 142.387 <0.001 NLP 3250 (0.73) 1180 (0.27) 5075 (0.68) 2425 (0.32) 42.862 <0.001 SLP 222 (0.76) 71 (0.24) 2943 (0.62) 1778 (0.38) 21.374 <0.001 1988 UP 549 (0.87) 79 (0.13) 3789 (0.82) 825 (0.18) 10.883 0.001 NLP 3856 (0.64) 2209 (0.36) 4786 (0.64) 2722 (0.36) 0.041 0.840 SLP 256 (0.63) 152 (0.37) 3172 (0.58) 2301 (0.42) 3.580 0.058 1989 UP 437 (0.80) 111 (0.20) 3991 (0.78) 1106 (0.22) 0.610 0.435 NLP 3264 (0.61) 2108 (0.39) 3789 (0.60) 2546 (0.40) 1.093 0.296 SLP 245 (0.54) 206 (0.46) 3550 (0.56) 2737 (0.44) 0.785 0.376 1990 UP 363 (0.78) 101 (0.22) 3809 (0.79) 1040 (0.21) 0.026 0.873 NLP 3597 (0.60) 2375 (0.40) 4720 (0.62) 2913 (0.38) 3.636 0.057 SLP 157 (0.49) 163 (0.51) 3049 (0.57) 2280 (0.43) 8.175 0.004 1991 UP 358 (0.80) 87 (0.20) 3981 (0.78) 1145 (0.22) 1.846 0.174 NLP 3311 (0.76) 1057 (0.24) 4347 (0.67) 2126 (0.33) 93.989 <0.001 SLP 196 (0.61) 125 (0.39) 3087 (0.59) 2104 (0.41) 0.318 0.573 1992 UP 326 (0.70) 143 (0.30) 3636 (0.74) 1253 (0.26) 5.250 0.022 NLP 2254 (0.73) 851 (0.27) 3082 (0.64) 1767 (0.36) 69.950 <0.001 SLP 167 (0.73) 63 (0.27) 2740 (0.61) 1719 (0.39) 11.562 0.001 1993 UP 745 (0.88) 104 (0.12) 3676 (0.90) 404 (0.10) 4.190 0.041 NLP 2578 (0.81) 610 (0.19) 2981 (0.76) 930 (0.24) 22.306 <0.001 SLP 196 (0.74) 68 (0.26) 2726 (0.63) 1623 (0.37) 14.327 <0.001 1994 UP 808 (0.84) 154 (0.16) 6081 (0.88) 864 (0.12) 9.588 0.002 NLP 3328 (0.93) 264 (0.07) 5815 (0.91) 545 (0.09) 4.571 0.033 SLP 284 (0.78) 81 (0.22) 4567 (0.66) 2354 (0.34) 21.772 <0.001 1995 UP 651 (0.63) 390 (0.37) 4644 (0.66) 2415 (0.34) 4.239 0.040 NLP 3863 (0.81) 885 (0.19) 4614 (0.79) 1214 (0.21) 7.896 0.005 SLP 288 (0.75) 95 (0.25) 4336 (0.64) 2478 (0.36) 21.104 <0.001 1996 UP 190 (0.57) 141 (0.43) 3135 (0.70) 1330 (0.30) 23.784 <0.001 NLP 2492 (0.69) 1113 (0.31) 5022 (0.63) 2987 (0.37) 44.887 <0.001 SLP 273 (0.76) 88 (0.24) 3901 (0.54) 326740.46) 62.532 <0.001 1997 UP 181 (0.78) 52 (0.22) 2364 (0.79) 612 (0.21) 0.405 0.525 NLP 2529 (0.69) 1127 (0.31) 4890 (0.64) 2754 (0.36) 29.682 <0.001 SLP 249 (0.53) 192 (0.44) 3493 (0.46) 4030 (0.54) 16.830 <0.001 1998 UP 280 (0.89) 36 (0.11) 3039 (0.88) 405 (0.12) 0.038 0.846 NLP 2385 (0.61) 1499 (0.39) 5431 (0.44) 6991 (0.56) 370.795 <0.001 SLP 266 (0.65) 142 (0.55) 3698 (0.48) 4001 (0.52) 45.681 <0.001 1999 UP 936 (0.83) 194 (0.17) 4351 (0.76) 1383 (0.24) 25.774 <0.001 NLP 2324 (0.60) 1574 (0.40) 7501 (0.49) 7942 (0.51) 152.000 <0.001 SLP 277 (0.62) 167 (0.38) 3568 (0.47) 3966 (0.53) 37.930 <0.001 73 Table 16. The number (and proportion) of yearling and adult antlered deer checked at highway and field stations. The chi-squared tests compare the age composition of antlered deer checked at the highway stations to those checked at field check stations during the firearm season. All tests have 1 degree of freedom. Highway Field Year Region 1.5 2.5+ 1.5 2.5+ x’ p—value 1987 UP 142(0.52) 120 (0.46) 1968 (0.58) 1422 (0.42) 1.481 0.224 NLP 2429 (0.76) 769 (0.24) 3368 (0.69) 1521(0.31) 47.533 <0.001 SLP 172(079) 47 (0.21) 1939 (0.68) 917(032) 10.713 0.001 1988 UP 326(0.60) 215(040) 1924 (0.54) 1663 (0.46) 8.310 0.004 NLP 2774 (0.72) 1054 (0.28) 2951(0.65) 1597 (0.35) 55.211 <0.001 SLP 203 (0.80) 51 (0.20) 2148 (0.70) 938 (0.30) 11.984 0.001 1989 UP 153 (0.51) 147 (0.49) 1477 (0.43) 1990(057) 7.933 0.005 NLP 1541(0.64) 865 (0.36) 1863 (0.59) 1287(0.41) 13.832 <0.001 SLP 118(0.57) 89 (0.43) 2346(0.70) 1029 (0.30) 14.208 <0.001 1990 UP 162 (0.46) 187 (0.54) 1551 (0.42) 2102 (0.58) 2.041 0.153 NLP 2356 (0.67) 1180(0.33) 2781(0.62) 1734 (0.38) 21.762 <0.001 SLP 117(077) 35 (0.23) 1990 (0.67) 969(0.33) 6.251 0.012 1991 UP 190 (0.54) 165 (0.46) 1709 (0.46) 2000(054) 7.212 0.007 NLP 2349 (0.72) 917(0.28) 2533 (0.61) 1600 (0.39) 91.939 <0.001 SLP 135(070) 59 (0.30) 1956 (0.66) 1014(034) 1.130 0.288 1992 UP 161 (0.50) 158 (0.50) 1228 (0.37) 2091(0.63) 22.376 <0.001 NLP 1539 (0.69) 693 (0.31) 1759 (0.62) 1100 (0.38) 30.301 <0.001 SLP 129 (0.77) 38 (0.23) 1730 @65) 921(035) 10.055 0.002 1993 UP 335 (0.47) 380 (0.53) 1428 (0.41) 2055 (0.59) 8.346 0.004 NLP 1612(0.64) 924 (0.36) 1588 (0.55) 1275 (0.45) 36.535 <0.001 SLP 129 (0.68) 60 (0.32) 1629 (0.62) 999 (0.38) 2.952 0.086 1994 UP 476 (0.59) 326(0.41) 3278 (0.57) 2477 (0.43) 1.646 0.199 NLP 2227 (0.69) 1023 (0.31) 3486 (0.64) 1969 (0.36) 19.258 <0.001 SLP 199 (0.71) 81(0.29) 2801 (0.65) 1509 (0.35) 4.297 0.038 1995 UP 395(0.61) 248 (0.39) 2203 (0.52) 2028 (0.48) 19.658 <0.001 NLP 2899 (0.77) 863(0.23) 2987(O.69) 1322 (0.31) 60.945 <0.001 SLP 205 (0.72) 78 (0.28) 2698 (0.67) 1327 (0.33) 3.518 0.061 1996 UP 75 (0.40) 114(0.60) 822 (0.29) 2054 (0.71) 10.558 0.001 NLP 1680 (0.68) 799 (0.32) 2919(0.61) 1868 (0.39) 32.426 <0.001 SLP 212(079) 57 (0.21) 2615 (0.70) 1133 (0.30) 9.838 0.002 1997 UP 76 (0.44) 97 (0.56) 602 (0.27) 1663 (0.73) 24.106 <0.001 NLP 1630 (0.65) 865 (0.35) 2932 (0.63) 1729 (0.37) 4.138 0.042 SLP 191(0.77) 58 (0.23) 2244 (0.66) 1142 (0.34) 11.418 0.001 1998 UP 196(0.70) 83 (0.30) 1795 (0.61) 1147 (0.39) 9.213 0.002 NLP 1691(0.71) 679 (0.29) 3310(0.63) 1913(037) 46.135 <0.001 SLP 180 (0.68) 86 (0.32) 2362 (0.66) 1204 (0.34) 0.227 0.633 1999 UP 595 (0.64) 337 (0.36) 2412(057) 1841 (0.43) 15.946 <0.001 NLP 1557 (0.68) 731(032) 4348 (0.60) 2877 (0.40) 45.726 <0.001 SLP 194(071) 80 (0.29) 2346 (0.68) 1083 (0.32) 0.671 0.413 74 Table 17. The number (and proportion) of fawn, yearling, and adult antlerless deer checked at highway and field stations. The chi-squared tests compare the age composition of antlerless deer checked at the highway stations to that of antlerless deer checked at field check stations during the firearm season. All tests have 2 degrees of freedom. Year Region Highway 0.5 1.5 2.5+ 0.5 Field 1.5 2.5+ 1'2 p—value 1987 UP NLP SLP 9(0.45) 0(0.00) 461 (0.39) 227 (0.19) 23 (0.32) 14(020) 11 (0.55) 485 (0.41) 34 (0.48) 1077 (0.43) 869 (0.37) 778 (0.44) 368 (0.15) 510 (0.22) 429 (0.25) 1040 (0.42) 976 (0.41) 542 (0.31) 3.792 3.188 9.070 0.150 0.203 0.01 1 1988 UP NLP SLP 30 (0.39) 11(0.14) 842 (0.38) 439 (0.20) 62 (0.41) 37 (0.24) 36 (0.47) 917 (0.42) 53 (0.35) 254 (0.33) 912 (0.35) 978 (0.43) 157 (0.21) 642 (0.25) 584 (0.26) 351 (0.46) 1042 (0.40) 707 (0.31) 2.056 15.959 0.910 0.358 <0.001 0.634 1989 UP NLP SLP 41 (0.59) 5(007) 773 (0.46) 233 (0.14) 74 (0.41) 36 (0.20) 24 (0.34) 660 (0.40) 70 (0.39) 351 (0.39) 865 (0.39) 1139 (0.43) 139 (0.15) 473 (0.21) 690 (0.26) 407 (0.45) 886 (0.40) 821 (0.31) 10.888 40.584 5.880 0.004 <0.001 0.053 1990 UP NLP SLP 38 (0.38) 16(O.16) 889 (0.38) 474 (0.20) 64(0.40) 36 (0.23) 47 (0.47) 984 (0.42) 60 (0.38) 306 (0.32) 1017 (0.36) 920 (0.41) 219 (0.23) 607 (0.22) 567 (0.26) 437 (0.45) 1199 (0.42) 733 (0.33) 2.962 2.329 1.519 0.227 0.312 0.468 1991 UP NLP SLP 24 (0.29) 18(0.21) 403 (0.39) 203 (0.20) 44(035) 38 (0.30) 42 (0.50) 435 (0.42) 43 (0.34) 381 (0.37) 842 (0.41) 897 (0.43) 157 (0.15) 350 (0.17) 440 (0.21 ) 501 (0.48) 868 (0.42) 727 (0.35) 3.455 3.268 6.345 0.178 0.195 0.042 1992 UP NLP SLP 48 (0.34) 29 (0.20) 274(032) 183(0.22) 24 (0.38) ”(02$ 66 (0.46) 388 (0.46) 22 (0.35) 377 (0.34) 655 (0.39) 741 (0.44) 209 (0.19) 364 (0.22) 518 (0.47) 642 (0.39) 411 (024L533 (0.32) 0.149 14.631 0.853 0.928 0.001 0.653 1993 UP NLP SLP 43 (0.41) 24 (0.23) 216(0.35) 123 (0.20) 30 £1.45) 12(0.l8) 37 (0.36) 271 (0.44) 25 (0.37) 161 (0.42) 350 (0.39) 677 (0.42) 68 (0.18) 172 (0.19) 384 (0.24) 156 (0.41) 366 (0.41) 533 (0.33) 1.787 2.527 1.398 0.409 0.283 0.497 1994 UP NLP SLP 65 (0.42) 32 (0.21) 104(0.40) 48 (0.18) 24 (0.30) 24 (0.30) 57 (0.37) 110 (0.42) 33 (0.41) 309 (0.37) 191 (0.37) 964 (0.42) 177 (0.21) 107 (0.21) 540 (0.24) 343 (0.41) 221 (0.43) 781 (0.34) 1.458 0.863 5.114 0.482 0.650 0.078 1995 UP NLP SLP 163(0.42) 74 (0.19) 286 (0.33) 208(0.24) 30 (0.32) 26(0.27) 150 (0.39) 372 (0.43) 39 (0.41 ) 777 (0.36) 341 (0.30) 923 (0.39) 429 (0.20) 278 (0.25) 576 (0.24) 927 (0.43) 508 (0.45) 882 (0.37) 4.699 1.775 2.000 0.095 0.412 0.368 1996 UP NLP SLP 52 (0.37) 23 (0.16) 329 (0.30) 242 (0.22) 36M1) 17(019) 65 (0.46) 533 (0.48) 35 (0.40) 338 (0.28) 790 (0.28) 1305 (0.41) 232 (0.19) 629 (0.22) 712 (0.22) 649 (0.53) 1432 (0.50) 1191 (0.37) 5.442 1.846 0.483 0.066 0.397 0.786 1997 UP NLP SLP 20 (0.40) 8(0.16) 363 (0.33) 203 (0.18) 70 (0.36) 36 (0.19) 22 (0.44) 550 (0.49) 86 (0.45) 217 (0.37) 104 (0.18) 263 (0.45) 769 (0.29) 518 (0.20) 1368 (0.52) 1543 (0.39) 933 (0.24) 1494 (0.38) 0.196 4.815 4.523 0.907 0.090 0.104 1998 UP NLP SLP 17(0.47) 5(0.14) 550 (0.37) 304 (0.20) 57 (0.40) 33 (0.23) 14 (0.39) 638 (0.43) 51 (0.36) 134 (0.34) 84 (0.21) 174 (0.44) 2118 (0.31) 1331 (0.20) 3276 (0.49) 1578 (0.41) 865 (0.22) 1429 (0.37) 2.717 20.132 0.092 0.257 <0.001 0.955 1999 UP NLP SLP 71 (0.37) 45 (0.23) 517(033) 328 (0.21) 67 (0.40) 36 (0.22) 77 (0.40) 721 (0.46) 64 (0.38) 352 (0.27) 233 (0.18) 731 (0.56) 2154 (0.28) 1639 (0.21) 3857 (0.50) 1546 (0.40) 861 (0.22) 1455 (0.38) 16.628 15.736 0.057 <0.001 <0.001 0.972 75 harvested a greater proportion of larger, older bucks than hunters hunting on public land. (QDM is a program in which hunters take fewer yearling bucks and more antlerless deer to try to balance the sex ratio of the deer population [MDNR 2000b].) Private landowners may also have been more familiar with the deer available on their land and so could be more selective in choosing the deer they harvest. 76 Question 8: How does aging deer as ‘A’ or ‘AA’ affect the biodata? Significance Although MDNR personnel are trained in aging deer prior to the start of the season, determining the exact age of a deer can be difficult due to variability in wear and replacement patterns. Check station agers may also not be able to determine the age of a deer because the head is frozen and the jaw cannot be examined. When agers cannot determine the age to a specific year, they record the age as either ‘A’ (not a fawn) or ‘AA’ (older than a yearling). I examined the effect this practice has on the biodata. Methods I examined the true ages, as determined at the Rose Lake Wildlife Research Station (see Question 1) of deer aged as ‘A’ by field personnel. The sample size was too small to conduct similar analyses on deer aged as ‘AA.’ 1 determined the true age structure of the ‘A’-aged deer in both sexes and compared it to the age structure of all known-age checked deer. I also tracked the change in the percent of deer aged as ‘A’ or ‘AA’ over time and examined how it differed between highway check stations and other check stations. Results and Discussion Annually, an average of 1500 deer are placed in the ‘A’ age category and almost 2000 are placed in the ‘AA’ age category, leaving an average of greater than 10% of the checked deer without known ages (Table 18). The loss of these data may be unavoidable. 77 Table 18. Number and percent of checked deer aged as 'A' or 'AA' each year. Year A AA Total Deer % A or AA 1987 967 1954 27948 10.45 1988 1071 2023 29264 10.57 1989 4026 3639 29022 26.41 1990 1068 2297 2961 l 1 1.36 1991 1 172 2282 27224 12.69 1992 1302 1889 22966 13.89 1993 923 1585 21213 11.82 1994 1701 2188 32853 11.84 1995 2287 2096 32780 13.37 1996 1418 1721 30267 10.37 1997 1153 1427 29351 8.79 1998 1407 1327 35718 7.65 1999 1570 1455 42769 7.07 average 1543 1991 30076 12.02 78 The only cause for concern would be if the true age distribution of the unaged deer was different from that of the true age distribution of the known-age deer. The Rose Lake aging procedure identified almost 6% of the ‘A’-aged deer as fawns, which should not be included in this age category at all. These results are somewhat surprising, as the fawn age category was the only category in which the field personnel achieved 100% accuracy in the Rose Lake aging analysis (Table 2). The age composition of the remaining deer (Figure 20) matched fairly closely with that of the true age structure of the checked deer (Figure 21). The ‘A’-aged male deer’s true age distribution matched more closely to the actual age distribution than that for females probably because agers can use the antlers to help determine the ages of the younger males. Although the true age distribution of the ‘A’-aged deer did not match exactly with that of the aged deer, the differences were not great and do not seem cause for concern. If the differences had been larger, the loss of information resulting from unaged deer could have been affecting certain age categories more than others, causing the aged deer to present a false age distribution. The minor differences and small sample sizes involved do not appear to cause a problem, however. I can only assume the same is true for the ‘AA’-aged deer, but a similar analysis is not possible due to small sample sizes of ‘AA’-aged deer sent to Rose Lake. Recently, the percentage of deer categorized as ‘A’ or ‘AA’ has decreased (Table 18). Although the percent of deer aged as ‘A’ has remained constant (Figure 22a), the percent of deer aged as ‘AA’ has decreased over the past several years, leading to the overall decrease in the percent of deer with unknown age (Figure 22b). The decrease may indicate that agers are becoming more confidant in their aging ability due to experience or increased training. Highway check station agers tend to categorize deer as 79 I1 212 133 E4 [1115 56+ 70.26 Percent of A-aged Deer 232; 204 0.23 0.11 Females Males Figure 20. Age structure of the female and male deer classified as 'A' and aged at Rose Lake (in 1999), excluding fawns. 80 '1 B2 E313 154 IlllS 86+ Percent of Aged Deer Females 68.10 8.57 335555232; 1-52 0.29 0.18 Figure 21. Age structure of all female and male deer checked during 1999, excluding fawns. 81 (a) deer aged as 'A' 30 : A .5 /\ /\ 10 Percent of Checked Deer 0 r j I 1 l l T T l l 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year (b) deer aged as 'AA' 14 12 / \ 10 - 3r J . r\ “'~ .I ,l 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Percent of Checked Deer T r Year Figure 22. Percent of checked deer aged as (a) 'A' or (b) 'AA' during all seasons at highway check stations (solid line) and other check stations (broken line). 82 ‘A’ or ‘AA’ with less frequency than do agers working at other check stations (Figure 22). The only exception to these trends was in 1989 when weather conditions resulted in a higher than normal proportion of frozen deer and aging was difficult (H. Hill, MDNR, personal communication). Highway station agers may age fewer deer as ‘A’ or ‘AA’ because there are generally more personnel working at highway stations at any given time than at field stations. If questions arise as to the age of a particular deer, a highway ager can ask the opinions of others while the field ager may not have that opportunity. 83 Question 9: At what level do sample sizes provide the desired level of precision for statistical analyses? Significance When the biodata are collected, information is recorded on where each deer was harvested. The location information is recorded as township and range, deer management unit, and county. Based on the county designation, the data can then be combined into the eight wildlife division management units and the three ecoregions (see Figure 1 for boundaries). The location information can then be used to stratify the data for statistical analyses based on several different spatial scales. Statistical analyses are most valid when the data fulfill minimum sample size requirements. I examined several subsets of the biodata to determine what scales provide the minimum required sample sizes. Methods In most cases, the biodata are used to determine proportions (proportion of antlered vs. antlerless, fawns vs. does, lactating vs. non-lactating, etc.). In such binomial situations, the minimum required sample size can be approximated using the following equation: n =(22a/2P(1'P))/52 where n is the required sample size, za/z is the value on the standard normal curve that corresponds to (I-a9 percent confidence, p is the proportion of interest, and E is the desired margin of error (Wackerly et al. 1996). The margin of error can be quantified using either relative error or absolute error. Relative error is expressed as some percent 84 of the proportion of interest. For example, a proportion of 0.30 with a relative margin of error of 20% would have a confidence interval of 0.30 :1: 0.06, because 0.06 is 20% of 0.30. Absolute error is expressed as a number of percentage points. For example, a proportion of 0.30 with an absolute margin of error of 20% would have a confidence interval of 0.30 i 0.20. The values for relative error change with each estimated proportion, so I used absolute error in all calculations. Assuming maximum variance (p = 0.5), to achieve a 20% margin of absolute error with 95% confidence, at least 24 deer must be sampled from the area of interest, whether it is a county, management unit, or region. The required sample size for a 10% margin of error with 95% confidence is 96 deer. The required sample size for a 5% margin of error is 385 deer. These numbers reflect the worst case scenario. If information is already available on the proportion of interest, the preliminary data can be used to provide an estimate of p, and the resulting required sample size will be smaller than those described above. I divided the biodata into several different categories based on season harvested, age, sex, and harvest type, and on several different levels (county, management unit, region, and, in one case, township and range). Although the DMUs may provide the most useful divisions for management purposes, they are generally too small and too variable to be of practical use for statistical comparisons. I first evaluated the data based on the above selected sample sizes. I then calculated several ratios that may be of greatest interest to MDNR managers to determine whether or not the data are sufficient to provide 5%, 10%, or 20% margins of error. 85 Results and Discussion Although the biodata are collected throughout all deer seasons, the data are sometimes sub-divided and examined separately by season. The most common divisions are between the archery season and the firearm season. The number of deer checked from archery season has doubled since 1987, but the archery season generally provides fewer data than the firearm season in all categories (Figure 23). The sample size of the archery data could be especially significant for analysis of the lactation data. The archery season provides the most accurate data for lactation analyses because does start to wean their fawns during the fall and generally stop lactating sometime during the fall or early winter (Scanlon and Urbston 1978). Therefore, the archery data may provide lactation data before a large proportion of does have stopped lactating. The archery season provides much smaller sample sizes than the later firearm season, however, providing less precise estimates. The appropriate scale for analysis of the lactation data is discussed more completely in Chapter 3. The rest of this section will focus on the sample sizes from firearm season only or all seasons combined. The UP has the smallest sample sizes among the regions, although all regions contain at least 100 records in almost all categories (Table 19). The UP has the lowest harvest levels (Figure 24) and the fewest check stations (Figure 2) among the regions, leading to the fewest checked deer. The regional sample sizes are sufficient across almost all categories, however, to calculate several different ratios with a margine of absolute error of less than 5% (Table 20). The ratio of lactating to non-lactating does using the October data is the only ratio whose absolute error exceeds 5% in two regions (Table 20). 86 Number of Deer Checked 40000 35000 p 30000 / I— -l\ / 25000 rial!- "!-. 20000 \\~ 4 15000 l 0000 0 I T I T 1 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 23. Number of deer checked from archery (solid line) and firearm (broken line) seasons from 1987 through 1999. 87 mowm wcmm .w: 39.. 03... ammm 3% m9... £355.. .53.... 2.55:5 3.0 28 owmm RS mmom mac: 3... ~33 «.355.— .539. F5537. 8N. chem wwm ommm m . m omom anm «can 2.5.5.5.. 5......— Efifiuaa. 55G .36... 82.5.2.4 .5535. 5:32.... 85.5.25. 8.25 .55: .33. 5&3. +m.N wag—«8w ”5.2a“; .8305 35. So... m5~.m 5.2.88 .223.— 588 .0 8.9538”. .3 53a... 88 # deer harvested D < 500 500 - 1000 1000 - 4000 4000 - 8000 > 8000 IIID Figure 24. Estimates of the number of deer harvested by county from the 1999 mail survey. 89 .MZDS. 2.. .3 .55.:23 8.68. 8:85» 6\6 55 8 85.23.85 6. 2.8 6.2.... .23 90 m m m w m m S E on o 5882.2 3.3362 6.262 m m m w 6 6 66 8 2 2. 2 32663 <3 3+ 82.382 m m 2 w 6 2 62 2. o 222 28860 3+ 82238.. m m m w 22 6 226 mm 6 N 22... 3+ 82238.2 m m m w m w R 66 6m 6 .2582... .33: 62.2228» m m m w 22 w 8 E 8. m 22.... 3232 52.22.32, m m m w w 6 63 t. 2 2 2. 22882.2 8:365... m m .6. 22 22 n t. 226 2 N 22... 8:35.... 2.223122 2.222": $612.2 .2231: 2.22218 $612.. .5223": $222": 2.6": 32. 622 828m 2...: 8172. 2228: 3172. 2225 2.6222 .8172. 322255 823.6 3m. :0 .568. 5.5 652.88 ..< .6\6om 2o .6\oo. .23m .0 Am. 885 8282.23 .8 8868 a 8.3 60.28 .636... 2.2 86.25.25 8 85.05226 58 63.6 5.2.8266 562.3 6:6.on .683 .38: 858586868 $5.885 m: 238:: 2.2 .686 .886: .56.. 2.. 86.3.8 9 88658: 86.6 w:.mm.8 65.8228 .0 52.828 2.... .3 538,—. The Southeastern LP and the Eastern UP contain the fewest records among the management units (Table 21). The Southeastern LP is geographically the smallest management unit, and the greater metropolitan area of Detroit makes up a large fraction of the management unit, leaving little area available for deer harvest. The Eastern UP has the second smallest area of the management units and contains none of the counties with the highest harvest levels (Figure 24). There are also very few check stations in the Eastern UP compared to other areas of the state (Figure 2). Other than the Southeastern LP and the Eastern UP, the management units have recently contained at least 100 records in almost all categories (Table 21). The number of checked deer has fluctuated greatly over the past 13 years, and most of the management units saw dramatic increases in 1999 (Figure 25). The recent increases in the number of checked deer are probably due primarily to the increased interest in checking deer for TB, but they provide greater sample sizes for greater statistical precision. In general the management units do provide sufficient data to analyze the data with margins of error less 10%, although many management units do not have sufficient data to calculate ratios with absolute margins of absoluate error of less than 5% (Table 20). Although the regions and management units provide large samples with which to statistically analyze the deer harvest and population, such analyses may be most useful when conducted by county or even smaller units. Analysis at such fine scales may not always be practical, however. When plotted by township and range coordinates, the buck data reveal that very few units contained more than 40 checked bucks (Figure 26). The distribution of the checked bucks suggests that analysis on the township level would not be statistically valid, especially outside the Northern LP. Analysis on the county level 91 nmm wwm mm . Nam EN new can now. .3 586.3555 emu Nmm .mm mmo. cow :3. o. m . ow.m .3 .9550 5.6m mmo. man. a; men. awn mwm. m3. .65..V .3 5383.....5 Nov. «3. wmm .No. So 83 .mwm Ewm .3.— 3.3.95 camm 3.0 .o. m. 3mm mg. NS» 3% mmnm. .3 53635:}. Now . .wmm mmv mwvm own oamm whom 38 .3 aback—.25. .o. Mme E e... no u. m omm. awe. .5 586a...— ovo. bvwm v. m v9.6. w:V NE. v.3 38 m: 5883 5:3an .509 .33. 82.5.23. 69.2.5. 652.... 662.8..=< 8.25 been .39... 3.5 +m.~ ”—5.58% ”5.23? «sauna—82 .8360... mom. 802.. 63.6 0.9566 :52 EoEomewE 088 .o 8.955.. AN 2...; 92 —)(—West UP - fl - East UP - - O - -Northwest LP - + . Northeast LP — O- - Saginaw Bay - A - Southwest LP - - O - - South Central LP + Southeast LP I I 12000 ‘ i I I 10000 I. I k I / \4' '0‘ ~'~.o ¥§A__\ 4000 ~ ..':,.¢—" /'G.':G- “.. ,/'/ B--—{ V’ °"--o----o--" Number of Deer Checked 00......' 4 \*_-— 0 I I T l I Y I l T l T l l 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 25. Total number of deer checked from each management unit between 1987 and 1999. 93 # bucks checked < 5 5 - 10 10 - 40 4O - 80 > 80 IIIEID Figure 26. Number of bucks checked in 1999 by township and range coordinates. 94 may be more feasible, however, and may be gaining more significance for managers, even though the county boundaries are not ecologically meaningful. The DMU boundaries, on which harvest regulations are based, have begun to match county boundaries, especially in the Southern LP, setting a precedent for county level analysis. Several counties have shown consistently high or low sample sizes of checked deer. In almost all cases, the TB surveillance counties and Lake, Osceola, Clare, Gladwin, Allegan, and Menominee counties provide the highest samples sizes, while the Detroit area counties (primarily Monroe, Wayne, and Macomb) and Brand, Berrien, and Keweenaw counties have the smallest sample sizes (Table 22). The TB surveillance counties have high numbers of checked deer due to high harvest levels (Figure 24) and especially because of the emphasis that has been placed on checking deer from these counties to test for TB. The high sample sizes in Lake, Osceola, Clare, and Gladwin are probably due to their proximity to the TB surveillance area and high harvest levels (Figure 23). Menominee County also has a large harvest (Figure 24), but the high number of checked deer in Allegan County cannot be fully explain by harvest numbers, which generally do not fall within the highest levels. Allegan County has abundant land for public hunting, however, which could increase the percent of deer checked. The Detroit area counties, Berrien County, and Keweenaw County have especially low harvest numbers (Figure 24), resulting in low checking numbers. The low sample sizes of Branch County are probably due to the lack of check stations in the immediate area, rather than to especially low harvest numbers (Figure 2). Due to the great variability in the number of deer checked from each county, county-level analyses should be treated with caution. In several cases, counties contain 95 62 662 6. 662 66 66 666 666 66.3.8666 66 v6. 62 666 66 66 666 666 6666.662 6 66 6 :2 6 6 662 R2 85 66 .66 66 666 66 6: 666 666 63666.5 ficflauoad noon— —a~¢.~. macro—«=4 “5.5—=36 magah mum—ho—u=< axon—m— uowa— 739—. bun—50 +m.N w:...:3> uni—66> 6.85:6... 62.6.3 886%. 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As discussed earlier, the population of checked deer is not necessarily similar to the population of harvested deer. 103 Question 10: What errors does the database contain? Significance The MDNR field personnel record the biodata on datasheets (Appendix 1), which are then collected at the Lansing offices and transcribed into the computerized database (Appendix 2). Although several checks are run to check for logical errors (such as inconsistencies in the location information), the final SPSS data file may contain errors or inconsistencies that make data analysis difficult. Methods While working with the biodata, I discovered several problems that made some analyses difficult without additional cleaning of the data. Some of my observations are of errors or inconsistencies within the data. Others, however, are comments on missing information whose inclusion into the database may make possible several analyses that cannot currently be performed. Results and Discussion Quality checks are run on the biodata immediately after they are entered to check for inconsistencies in the location data (for example, checking for township and range coordinates that do not fall within the reported county). The checks, however, do not identify inconsistencies between the date reported in the “remar ” column and the season in which the deer was harvested. The date in the “remarks” column identifies the date on which the hunter or ager observed the lactation status of the deer. Although the 104 date of harvest is not recorded in the biodata, the lactation date provides a close estimate of the harvest date for a small subset of the biodata. The lactation date should fall within the boundaries of the season in which the deer was harvested, or a few days thereafter, as it most likely reports the date on which the hunter dressed the deer. A comparison of the dates of the firearm and archery seasons and the date reported in the “remarks” column reveals that 2.87% of the regular firearm deer and 1.58% of the archery deer fall outside the bounds of their respective season (a total of 871 deer from 1993-1999). Although a few of these inconsistent records are probably caused by hunters not checking the deer until after the season ends, it is unlikely that this is true for all the deer, especially those reported several weeks after the season ended. This explanation also could not apply to deer reported before the season in which they were supposedly harvested. The hunters may be reporting the date wrong, or the recorder may be writing the date down wrong. These results suggest that a more accurate date to record for lactation status would be the date on which hunters harvest their deer, not the date they field-dress their deer. Many of the variables contain inconsistencies that make comparisons among different categories within the variable or comparisons between different variables difficult. The most common is the notation used to indicate missing or illegible data. For many of the variables, ‘99’ indicates missing data, but blanks are also used, and in the “tb” variable, ‘0’ is used to indicate no data could be collected. Several different annotations for missing data make it difficult to determine exactly how many records are missing data. Compounding the problem is the practice of leaving the “cseason” column blank to indicate the deer was harvested during firearm season. When examined in the context of the rest of variables, the blank would appear to indicate the season is unknown. 105 In the comparison of the season dates and “remarks” dates, the firearm season had a greater percentage of inconsistencies than the archery season. The difference may be due to the fact that some “cseason” entries were lefl blank if the season was not reported or was unknown. The blanks would automatically place the deer in the firearm season, causing greater inconsistency in the firearm season than the archery season. One easily remedied inconsistency is found in the annotation of dates. Dates are recorded in both the “remarks” column and the “date” column. In both cases, numbers less than 10 are recorded as both single and double digits (with a leading zero). For example, the date ofJanuary 1 may read as ‘1/1,’ ‘01/01,’ ‘01/1,’ or ‘1/01.’ Some dates in both columns may also include the year while others do not. These inconsistencies make recoding these dates into the “sepldays” column (number of days since September 1) and picking out individual dates difficult and tedious. Since 1997, the MDNR has held late firearm seasons, generally sometime during the last two weeks of December through the first week of January. During the first year, data collected during the late season was recorded as the ‘H’ season (holiday season) while the season was recorded as ‘L’ (late season) during the following years. The different symbols made the data appear to have come from different seasons. In a similar case, some (fewer than 50 records) of the original data under the “prv_pub” variable were coded as ‘ l 1’ and ‘22’ rather than ‘PB’ or ‘PT’ with no indication as to which code stood for private land and which stood for public land. Other problems I observed in the database concerned the omission of data that may be necessary to include. One significant omission is the check station location for each deer. Each datasheet gives the name of the check station from which the data were 106 collected. When the data are transcribed in the computer database, however, the check stations are lumped according to the district (1987-1997) or management unit (1998- 1999) in which the station is located. Even the combinations are not consistent, however. Several check stations are recorded individually, including all highway check stations, the Marquette, Roscommon, and Lansing Field Offices, Drummond Island, and the Houghton Lake, Cusino, and Rose Lake Wildlife Research Stations. Identifying the individual stations at which each deer was checked would allow the MDNR to determine patterns of check station usage and identify those areas that need additional check stations or check stations that may be underused. Knowing the check station location for each deer could also aid in determining how many heads each station receives for TB testing to aid in planning to meet TB testing quotas. Check stations could also be individually evaluated for quality control. The original datasheets also include individual page and line numbers, which provides each entry with an individual code. Although these page and line numbers are included in the individual yearly databases, the comprehensive database of all years does not include these variables. This omission makes it impossible to track an entry back to the original datasheet if a question arises about the data. A third type of data problem is the coding used to determine the antler status of the deer. Antlered deer are those deer with at least one antler greater than 3 inches long. All other deer are antlerless. Although this definition appears straightforward, two different variables code the deer into the ‘antlered’ and ‘antlerless’ categories and are not always consistent with one another. The original variable, “killtype,” first lists antlered deer as all males that are not fawns, A, or AA. It then determines that all antlerless deer 107 are all females (not age A or AA), all male fawns, and all males with spikes. All others (including only all A and AA deer) are considered unknown. 1 developed a second variable, “antler,” which first lists antlered deer as all males with points but not short spikes. Antlerless deer are then listed as all females, all male fawns, and all males with spikes. The unknowns are then all non-fawn males missing points data (including those coded as ‘99’ in the “points” column) and all males with a ‘B’ in the “points” column. The primary inconsistencies in the two variables lie in the ‘unknown’ category. If “antler” and “killtype” described antler status in the same manner, Table 23 would have totals along the diagonal and zeros elsewhere. As they stand, the variables are not consistent with one another. The “killtype” variable lists five deer as ‘bucks’ which the “antler” variable lists as ‘antlerless,’ but the primary inconsistencies in the two variables lie in the ‘unknown’ designation. The “killtype” variable describes only deer of unknown age as having unknown antler status (Table 23). The “antler” variable codes deer with unknown age in the same manner as deer with known ages, and describes only males with broken antlers as having unknown antler status. 108 Table 23. Crosstabulation of records between the "antler" variable and the "killtype" variable. "Antler" Unknown Antlered Antlerless Total Unknown 1625 32061 12176 45862 Bucks 14553 203432 0 217985 Antlerless 1 84 5 126965 127154 Total 16362 235498 139141 391001 "Kiutype" 109 Conclusions The check station biodata can be used to estimate population parameters and to develop population indices of Michigan’s deer population. Direct counts of the total deer population are impossible and impractical due to the size of the state and the number of deer in the population. Hawn and Ryel (1969) compared a direct count survey with a sampling survey of harvest estimates in Michigan and found that the sampling survey was more efficient and more accurate than the direct count. Measurements of such aspects of the deer population as antler dimensions or lactation status are likewise impossible on every individual deer. The check station surveys can therefore save valuable financial and personnel resources while providing accurate data. The biodata allow wildlife managers to draw inferences about the true population based on data collected from a fraction of the population. The biodata, however, cannot be used confidently unless their biases and limitations are understood. This evaluation identified several compositional, spatial, and seasonal biases in the biodata. o Hunters tend to check a greater proportion of the harvested antlered deer than of the harvested antlerless deer. o Counties with at least one check station tend to have a greater number of checked deer than those without check stations. 0 The TB surveillance counties check a greater percentage of their harvested deer than other counties. 0 Deer harvested during the firearm season are more likely to be checked than deer harvested during the archery season. 110 o In the LP, hunters are more likely to check deer harvested on public land than those harvested on private land. Although some biases are inherent in the voluntary checking system, the biodata can still provide valuable information about Michigan’s deer. The lactation data or beam diameter data could be used to provide indices of herd health. Other data could be used to compare the harvest composition between different years or geographic areas. The geographic distribution of the biodata could also be examined in conjunction with ecological data to delineate ecologically significant areas that contain sufficient sample sizes for statistical analyses. Such areas could take the place of the current DMUs, which are too variable and sometimes too small for statistical analyses. Burgoyne (1981) argues that biased data can still be used in developing estimates or indices of population size. The quality of the biodata can also be improved, and the effects of biases can be reduced. Estimates derived using the biodata may have greater precision if the values are weighted by the harvest levels of the particular geographic area or by the seasonal distribution of the data. Further study is necessary to determine if such estimates would be more accurate than those calculated without weights. The distribution of the check stations could be examined and reorganized to increase the percent of deer checked and to decrease the effects of spatial biases. The MDNR could educate hunters on the importance of checking their deer and the value of the data collected. Such an education program could increase participation and decrease compositional or seasonal biases. Increased efforts in personnel training and in planning could also decrease the occurrence of errors in the collection and transcription of the data. The biodata are a valuable lll resource for Michigan’s deer managers and every effort should be made to maintain or improve the quality and utility of these data. 112 CHAPTER 3 THE LACTATION SURVEY EVALUTION Introduction At voluntary deer check stations, the MDNR has collected data since 1993 on the number of female white-tailed deer who show evidence of lactation. Ideally, the data could be used as an indicator of the state of the herd based on the assumption that higher reproductive rates, especially within the yearling population, indicate a healthy herd. Doe fawns will not breed at 6 months old unless they have reached a minimum body size; the quality of the habitat and the density of the herd determine the percentage of doe fawns who reach puberty during their first year (Jacobson 1994). Thus, high yearling reproductive rates would indicate sufficient high quality food for the deer population. Antler measurements are also an indicator of herd health (Severinghaus et al. 1950, Richie 1970). Correlations between average buck antler size and doe lactation rates could support the use of lactation rates as an indicator of herd health. A second projected use of the data is as an estimate of annual recruitment, assuming that only those does whose fawns have survived through the entire summer will still be lactating during the hunting season, when the lactation data are collected. I examined the distribution and abundance of the lactation data, the accuracy of the data, how the data could be used in deer population management, and on what temporal and spatial scales the data provide the most accurate and useful information. 113 Methods The source of the data examined in this study are check-station records collected between 1993 (the year lactation data were first recorded in Michigan) and 1999. The records are stored as an SPSS file that contains the biophysical data from all check station records from 1987 to 1999. I eliminated all records that did not contain lactation data, all data from fawns and any deer whose age was recorded as ‘A’ (not a fawn but cannot be aged), and any record where the date of observation of lactation was recorded as later than the date the form was completed (due to some transcription or typographical error). I sorted the data to determine how it was distributed among several different categories including age, year killed, geographic location, and season the lactation data were collected. For most analyses the deer were divided into 3 age categories: 1.5 years old, 2.5 years old, and 3.5 years old and older. The division excluded the data from deer classified as ‘AA’ (2.5 years old or older), which made up less than 10% of the data in each year. Geographic divisions were based on Wildlife Division management units and regions, first designated in 1998 (Figure 1). Data collected before 1998 were assigned to the appropriate management unit based on the county in which the deer was reported killed. The regional boundaries were based on the ecoregions defined by the MDNR (Figure 1). Seasonal divisions used were October 1-31, November 1-14, November 15- 22, and November 23-30. Seasonal divisions were assigned based on the date that evidence of lactation was or was not observed, recorded in the “Remarks” column of the Deer Physical Data sheet (Appendix 1). 114 I chose the divisions used in the final analyses because they contained a sufficient number of records. Minimum required sample sizes were calculated using the following equation: n =(z’6p(1-p))/52 where za/z is the value on the standard normal curve that correlates to (l-a) percent confidence, p is the proportion of lactating does, and E is the desired margin of error (measured as an absolute percent) (Wackerly et al. 1996). In a binomial distribution, if p is unknown, a p value of 0.5 is used to calculated minimum required sample size because it provides maximum variance. Data are already available on the lactation rates, however, and they can provide an estimate of p, which can be used in the above formula to provide smaller required sample sizes. Afier determining the appropriate scales on which to analyze the lactation data, I examined the trends in lactation rates associated with age and geographic location. I also tracked annual trends in lactation rates. Finally, I determined the correlation between annual lactation rates of yearlings and adults and the average annual beam diameter of yearlings and adults. Results Lactation data are available on approximately 76% of all mature does (1.5 years old and older) that came through the check stations between 1993 and 1998, resulting in a final sample size of 37,100. Annual sample size increased 503% from 1993 (n=1 ,923) to 1999 (n=9,665), largely due to an increase of 363% in the number of female deer checked during the same years. Hunters’ observations of the presence or absence of milk when 115 field dressing the deer provided 98.1% of the lactation data. Check station workers collected the remaining data while completing the physical data sheet entry on the animal. The quality of the lactation data is therefore dependent on the hunters’ ability to correctly identify whether or not a deer is lactating and accurately report their observations at the check stations. If the hunters assign the deer into one category or another without sufficient observation to determine the true state, the data would not adhere to basic biological patterns. The dates of weaning should vary among the deer due to differences in birth date, experience of the mother, and environmental conditions. The variation should cause the percent of deer reported lactating to decrease as the hunting season progresses, if the lactation status is not assigned randomly. The percent of lactating deer does decrease from October to December (Figure 27). Ozoga et al. (1994) report that only 5% to 60% of doe fawns breed each year while more than 95% of older does breed. The available lactation data reflect this situation and show that the percent of lactating yearlings during the hunting season is lower than that of the older does (Figure 28). The above evidence suggests the hunters do not randomly assign lactation status; they appear to be able to determine accurately the lactation status. Assuming maximum variance, a sample size of 385 gives an estimate accurate to within 5% with 95% confidence. A sample size of 96 gives an estimate accurate to within 10% with 95% confidence. When the available lactation data are used to estimate the true variance, smaller sample sizes are required and vary depending on the estimate used. I looked at both the optimum sample sizes and the estimated required sample sizes 116 70% 60% 50% \ 50 Q E \ 3 40% a A \ fl 5 30% - O in .. \i a. 20% 10% 0% October November December Month Figure 27. Percent of adult females lactating in Michigan from October to December, averaged from 1993-1999. Error bars are :t 1 standard error. 117 70% 60% - ‘% 40% 30% Percent Lactating 20% 10% 0% 1 I I 1.5 yrs 2.5 yrs 3.5 yrs 4.5 yrs 5.5+ yrs Age Figure 28. Percent of females in Michigan lactating in each age class (averaged from 1993-1999 using data from all seasons combined). Error bars are d: 1 standard error. 118 to determine whether the data are sufficiently abundant when divided into different geographical areas, years, and seasons. The earliest available lactation data should provide the most precise and representative estimate of true reproductive rates because the percent of lactating deer decreases as the season progresses (Figure 27). Data from October and early November would thus be the most useful, but the sample sizes are generally much smaller than those from the November firearm season (November 15-30). The first 2 weeks in November do not provide sufficient data to be statistically useful. A chi-square test demonstrates that there is a significant decrease in the lactation rates from the first to the second week of the firearm season (Table 24). The October data and the first week of firearm season therefore provide the most potentially useful lactation data. The largest sample sizes, and therefore the smallest margins of error, are found in the regional Firearm Week 1 data (Table 25). Among the management units, the Eastern UP and the Southeastern LP sample sizes are generally too small to provide accurate estimates of lactation rates (Table 25). The October data can be used to estimate the minimum proportion of lactating does in each region. Percent of lactating does increases with increasing age within the 3 regions and decreases with increasing latitude within the state (Figure 29). The lactation rate for 1.5 year old does in the Southern LP is twice that of the 1.5 year old does in the northern regions of Michigan. While the difference is not as dramatic in the older age categories, the percentage of lactating does in the northern regions is consistently lower than in the Southern LP. Between the first and second years of life, reproductive effort 119 Table 24. Results of a chi-squared test comparing the proportion of lactating does in the first week of firearm season to that of the second week of firearm season. Ream Age x2 value df p-value Upper Peninsula 1.5 0.212 1 0.645 2.5 0.547 0.460 3.5+ 11.313 0.001 Northern Lower 1.5 2.706 0.100 Peninsula 2.5 3.637 0.057 Southern Lower 1.5 1 . 181 0.277 Peninsula 2.5 44.254 <0.001 3.5+ 22.27 <0.001 1 l 1 l 3.5+ 10.036 1 0.002 1 l l 120 Table 25. Average annual number of lactation records and the average annual margin of error associated with the estimates of the percent of does lactating in each region and management unit. The margins of error are based on absolute percentages. All values are averaged from 1993-1999. October Firearm Week 1 Region/U nit Age 11 Error 11 Error UP 1.5 23.9 12.95 92.6 6.44 2.5+ 71.0 11.40 293.1 6.53 Northern LP 1.5 144.9 7.57 389.7 4.33 2.5+ 377.6 6.00 1174.0 3.70 Southern LP 1.5 106.6 9.58 407.3 4.55 2.5+ 154.3 6.82 654.6 3.91 Western UP 1.5 35.0 16.08 138.3 6.58 2.5+ 68.7 12.89 332.0 6.75 Eastern UPll 1.5 48.3 11.74 207.9 15.74 2.5+ 125.6 28.42 515.4 21.89 Northwestern LP 1.5 82.9 15.46 166.1 8.75 2.5+ 185.6 10.42 390.9 8.55 Northeastern LP 1.5 32.0 10.47 137.5 5.69 2.5+ 59.4 8.77 299.3 4.90 Saginaw Bay 1.5 48.9 15.01 216.3 8.94 2.5+ 132.5 11.02 543.5 7.00 Southwestern LP 1.5 85.8 15.71 155.2 6.37 2.5+ 201.4 9.23 400.1 5.49 Southcentral LP 1.5 29.4 17.53 136.8 8.97 2.5+ 58.0 15.45 306.9 7.69 Southeastern LP 1.5 53.7 24.66 242.4 20.71 2.5+ 147.3 20.18 616.6 15.80 a. No lactation records were recorded from the Eastern UP during the firearm seasons of 1997 and 1998 so these years are not included in the averages of n and the margin of error. 121 131.5 yrs .25 yrs U3.5+yrs \O O OO O 76.76 78.35 71.53 I... \l C Q C J M O 1 40.00 .b o r w o l Percent Lactating N O l 6 Upper Peninsula Northern Lower Peninsula Southern Lower Peninsula Region Figure 29. Percent of females lactating in each age class and in each region (averaged from 1993 -l999 using October data). Error bars are + 1 standard error. 122 apparently doubles in the Southern LP and triples and quadruples in the Northern LP and UP respectively. Although the large categories are useful for observing general trends, smaller categories, such as by year and management unit, are useful for observing annual fluctuations and developing area specific management plans. Annual division by region provides larger datasets than the management units and provide smaller margins of error (Table 25). October data can also be used for better minimum estimates. Plots of trends in the percent of lactating does over the past 6 years, as measured during October, reveal annual variation, especially in the UP (Figure 30, Table 26). The greater variation in the UP may be due to the smaller sample sizes in the region, or it may reflect greater effects of climatic fluctuation on the deer population. The fluctuations in annual proportion of lactating does of the different age categories track each other fairly closely, indicating that the deer of different age classes are generally affected in the same manner by environmental variations. When divided by age class, the sample sizes the first week of firearm season provide margins of error of less than 10% in all 8 management units except the Eastern UP and Southeastern LP units (Table 25). The October data provides margins of error of less than 20%, again except in the Eastern UP and the Southeastern LP (Table 25). The firearm data of the management units reflect the same pattern as the regions of increasing lactation rates with increasing age (Table 27). The northern management units also tend to have lower lactation rates (Table 27). Among the yearling population, there were no significant correlations between lactation rates and antler beam size. Contrary to expectations, the UP and Southern LP 123 (a) Upper Peninsula - 9' 1.5 yrs —I—2.5 yrs +3.5+ yrs 90 80 70 60 50 40 30 Percent Lactating 10 0 1993 { \ ‘I’ %A H \ ¥ ‘ \ 20¢“ .-.' ...’ T 1994 1995 (b) Northern Lower Peninsula ___,. 80 05% CO 1996 1997 1998 1999 ~ *— W‘ .6 -—::L\1 Ur O \1 .5 O U) C Percent Lactating N O ————4—Q—- O ‘ ‘ ---4L----9._ ._._,.-‘----? .— O 0 j 1 1993 1994 1995 1996 1997 1998 1999 (c) Southern Lower Peninsula 90 80 \l O ON C Jim CO Percent Lactating b) O N O .—a O 0 T r l l 1 1993 1994 1995 1996 1997 1998 1999 Figure 30. 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Discussion One of the proposed uses of the lactation data is to estimate annual recruitment, the number of fawns who survive from birth until hunting season, by using the assumption that the number of lactating does reflects the number of surviving fawns. Unfortunately, several unknowns and wide variability prevent the use of the lactation data in this way. Does that give birth to 2 or 3 fawns will continue to lactate even if they have lost 1 or 2 fawns, so long as at least one fawn still lives. The lactation data cannot distinguish among these possibilities. One significant unknown is how long a doe continues to produce milk, even after she has lost all her fawns. Does that are lactating in October or November may not have a surviving fawn but may still be producing milk. We also do not know when fawns are weaned. If a doe is not lactating during the hunting season, it could be because she lost her fawn several months earlier, or because her fawn survived to hunting season and has been weaned. The lactation data are therefore not useful as an estimate of deer recruitment. The data appear to accurately reflect the lactation status of the deer that come through the check stations (see Results), so they may be useful as a minimum estimate or an index of reproductive success. In several categories of the data, the significant decrease in the proportion of lactating deer between the first and second week of firearm 127 0 Upper Peninsula X Northern LP A Southern LP M # S o q 9‘? D” 8 X — oo .— O\ —. h .— N Average Beam Diameter (mm) [> [> 10 Y T T l l I l’ 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 Proportion Lactating Figure 31. Correlations between the annual average beam diameter and proportion of lactating does (from October data) among yearlings. (UP: r2=0.3668, p=0.1495; NLP: r2=0.l929, p=0.324l; SLP: r2=0.1044, p=0.4796). 0 Upper Peninsula X Northern LP 34 32 3O 28 26 24 22 Average Beam Diameter (mm) 20 l T l I T l T l 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 Proportion Lactating Figure 32. Correlations between the annual average beam diameter and proportion of lactating does (from October data) among adults (2.5+ years old). (UP: r2=0.8561, p=0.0028; NLP: r2=0.0971, p=0.4964; SLP: r2=0.3909, p=0.1332). 129 season suggests that the first week of firearm season will provide the more precise estimates (Table 24). The October and Firearm Week 1 data provide sufficient sample sizes to be useful (Table 25). The October data are most useful as a minimum estimate of reproductive success, because they provide the earliest available estimates of the number of lactating does. Lactation rates drop dramatically after the minimum duration of lactation of 4 months for does with living fawns (Scanlon 1978). Most Michigan does give birth in late May or early June (Ozoga et al. 1994) so lactation rates would start to decline during October. The November data provide larger sample sizes for a shorter period of time, but by mid November the observed lactation rates no longer accurately reflect the true proportion of does whose fawns survived through the summer. The November data therefore do not reflect even the minimum number of reproductively successful does, but could be used as an index of reproductive success. The October data show that almost 80% of does 2.5 years old and older are reproductively active in the Southern LP (Table 26). The Southwestern and Southeastern LP deer populations have especially high lactation rates (Table 27). What may be more significant is the high levels of yearling reproductive effort, which reaches a maximum of almost 40% in the Southern LP and at least 15% to 20% throughout the UP and Northern LP (Figure 30, Table 26). Yearlings generally only reproduce when resources are abundant and environmental conditions are favorable (Jacobson 1994). Such high levels of yearling reproductive effort are a sign of a healthy deer herd. The annual variation in the percent of does lactating at both the regional (Figure 30, Table 26) and management unit (Table 27) levels suggests that the health of the herd may be susceptible to climate, p0pulation density pressures, or other variable factors. The sudden drop in lactation rates 130 in the fall of 1996, especially in the UP (Figure 30a, Table 26), may reflect the severe winter of 1995-1996 (Langenau 1996). The lower lactation rates in the Northeast LP management unit as compared to the Northwest LP management unit, especially among the. 1.5 and 2.5 year old deer (Table 27), may reflect the higher population densities in the Northeast management unit. Ozoga et a1. (1994) suggested using both productivity and antler size as indicators of herd health. Although both productivity rates, as measured by lactation rates, and antler size, as measured by beam diameter, should increase as habitat conditions improve, the 2 indicators are not significantly correlated with one another at all among yearlings (Figure 31) and only in the UP among adults (Figure 32). The same habitat factors that affect the reproductive success of does may not have similar effects on the antler development of bucks. Once a doe has lost her fawn due to harsh winter conditions, she is not able to become pregnant again, so high quality summer habitat and climate conditions will not increase her chance of reproductive success. On the other hand, a buck who has experienced harsh winter conditions can benefit from higher quality summer conditions and still develop large antlers, regardless of the previous winter’s conditions. These differences may be contributing to the lack of correlation between lactation rates and beam diameters. Although the lactation data are not useful as an estimate of deer recruitment, they do provide some indication of the variation of reproductive effort across age, geographic, and annual divisions. More data need to be collected in October from the UP, especially the Eastern UP, and the Southeastern LP to provide more accurate estimates of lactation rates. Data recorded earlier in the autumn would provide more exact estimates of 131 reproductive success, but collecting such data would be expensive and time-consuming. Using the October regional data as a minimum estimate and the Firearm Week 1 management unit data as an index of reproductive success are the most reasonable uses of the available lactation data. These uses would provide sample sizes large enough to examine both annual and regional differences 132 CHAPTER 4 THE WINTER SEVERITY INDEX EVALUATION Introduction White-tailed deer survive harsh northern winters by taking shelter in cedar swamps and hemlock stands and by supplementing their stored fat reserves with winter browse (Ozoga et al, 1994; Langenau, 1996). Even so, white-tailed deer populations suffer annual winter losses, especially during long or especially severe winters. Cold weather and windy conditions increase body heat loss, and deep snow covers browse and causes deer to expend more energy when searching for food (V erme, 1968). Verme ( 1968) recognized these conditions as the major factors contributing to winter deer mortality and devised a winter severity index (WSI) to measure the harshness of the winters on a scale that would reflect the conditions actually experienced by the deer. Using Verme’s (1968) index, the MDNR has measured the WSI for the UP and Northern LP since the winter of 1969-1970 (henceforth winters will be identified by the first of the 2 years) and in the Southern LP since 1988. Currently the WSI is used primarily to explain observations of high winter mortality and low reproductive success, especially of yearlings. The WSI could also be useful as a predictive tool of harvest numbers, lactation rates, proportion of yearlings in the population, doe to fawn ratios, and winter losses. Such uses for the WSI are possible only if the data are reliable and collected in a consistent and statistically valid manner. This study examined the methods used to collect the WSI data, the accuracy of the data, and how the data may be useful in predicting various measures of the white-tailed deer population of Michigan. 133 Methods The MDNR collects WSI data using the technique devised by Verme (1968). A chillometer measures atmospheric chill, and a compaction gauge measures the potential of the snow for supporting a deer. Weekly measurements from both devices are combined to form a weekly value, and a final cumulative value of all weekly values is determined at the end of the winter. As of 1999, the MDNR collected WSI data from 10 stations in the UP, 8 stations in the Northern LP, and 12 stations in the Southern LP (Figure 33). The exact number and location of stations varies slightly from year to year, however (Figure 34). The data are collected and summed weekly for each station to provide that station's cumulative WSI value. At the end of the winter, the cumulative WSI values from each of the stations in a region are averaged to provide the final WSI value for that region. The MDNR stores the weekly cumulative station values and regional averages in Excel files that contain the WSI data from all years and in individual files separated by year. The MDNR stores only the cumulative values, so I first created a non-cumulative weekly WSI value for each station. I subtracted from each weekly value the cumulative value of the previous week. In some cases, large negative values resulted from the subtraction; in such cases I eliminated that station’s data from that year’s average total WSI value because the data must have been gathered or recorded incorrectly. I numbered each data collection date by the number of days since November 1. A plot of the range of data collection days for all years in all regions (Figure 35) shows that the data most consistently cover the time frame from day 42 (December 13) to day 168 (April 18 or April 17 in leap years). I then created new cumulative WSI values (henceforth referred to 134 Legend: 01 Allegan Forest 02 Allegan Farm 03 Atlanta 04 Baldwin 05 Baraga 06 Cadillac 07 Cass City 08 Crane Pond 09 Crystal Falls 10 Cusino 26 1 6. 10 . 1 l = ' l8 102 ~01 1 / l 1 ° 33 ‘ 28 J4!!! ll Dunbar 20 Kenton 30 St. Charles 12 Escanaba 21 Lapeer 31 Thompson 13 Flat River 22 Manistique 32 Wakefield l4 Gaylord 23 Mio 33 Waterloo 15 Gladwin 24 Muskegon 16 Gwinn 25 Naubinway l7 Houghton Lake 26 Newberry (Porter Ranch) 27 Platte River 18 Holly 28 Pointe Moillee 19 Kalkaska 29 Rose Lake Figure 33. The WSI station locations. 135 .886 88 088:8 8: 883 «80 888.08 80% 0.8“... < .883 .03 08888 8: 8 08: 8. 8: 0.38 80 088:8 883 860 888.08 «80 8888 8.? 8.83 < .829» .m? 08888 80 8 .88 08 088:8 885 800 888.08 «80 808: 5.3 808.0. < .00 8.88.... 88.. 808 80 8 082.888 808 80me 8.... .wao. 8 000. 80.0 8.88 .03 88 88... «80 .8 68:50.38 2.... .60 98”.... 80> och waa. 0mm. 6mm. Noo. cam. wwa. 0wa. 6wa. Nwm. owm. 06o. 06a. 66a. 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I XXX XX XXXXXXX'XXXXXX XX XX XX XX' XXX XXXX XX XXXXXXXXXXXXXX Il*x 'XXX'XX"'X X XX'X""XXXXX XX'XX F2 X'X"XXXXXX X'XXXX'XXXXXXX' XXX XXXX XX XXXX X"XXXXXX XX X XX X XX xI I I I I I I I I X X X X x x I x I I 'XX XXX XXXX XX XXX XXXX XX XXXXXXXXXXXXXX XXX XXXX XX XXXXXXXXXXXXXX XXI r I 1 T T 1 I VMN CONWK‘Q MM") MNNNN 80885 I 8383 X 1% 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year I Region \UP - SLP 28 56 84 1 12 140 168 196 Days (since November 1) in WSI Figure 35. The time period WSI data were collected in each region fi'om 1969 to 1999. The bold lines mark days 42 (December 13) and 168 (April 18). 137 as the corrected WSI) by summing the weekly values beginning from approximately day 42 until approximately day 168. (All sums include data from the 19 weeks most closely matching the days 42-168 period, although some sums may include a few additional days due to leap year or data collection periods longer than 7 days. Note that although the recorded start date is day 42, the data collected on day 42 covers the week immediately preceding it.) I did not calculate a station’s corrected WSI value if data were missing from several weeks during a single year. I also calculated a modified WSI value for each region by summing the weekly values of only days 42-63 (first-month WSI) and days 147-168 (fourth-month WSI). After finding the annual corrected WSI value for each station, I calculated the average WSI values and the coefficient of variation (CV) for each management unit and region. I regressed several population parameters on the corrected WSI values by region and by management unit and on the first- and fourth-month WSI values for each region. The population parameters include: (from the succeeding autumn’s harvest) the buck harvest (uncorrected and corrected for hunter effort); total harvest (uncorrected and corrected for hunter effort); proportion of lactating yearlings, 2.5 year olds, and 3.5+ year olds during the first week of firearm season; proportion of yearling bucks in the entire harvest; and average yearling beam size of deer checked during the following fall’s hunting season. To explore possible alternatives to the current WSI, I developed an alternative index. Minimum temperatures and daily snow depth values from December 1986 through March 2000 were aquired from the National Oceanic and Atmospheric Administration website (www.ncdc.noaa.gov/ol/climate/stationlocator.html). The data 138 were collected from 3 UP stations (Marquette, Manistique, and Ironwood) and 4 Northern LP stations (Alpena, Cheboygan, Houghton Lake, and Traverse City). From the minimum temperature data, the variable Degree<32 was created, which is the sum of the daily differences between minimum temperature and 32 °F. A monthly average was calculated from the snow depth data. A weighted value was then assigned to the monthly average based on the system developed by Leckenby and Adams (1986). I was then able to calculate the B-WSI as follows: Monthly B-WSI = (Monthly Sum Degree<32)*(Snow Depth Weighted Value). The yearly B-WSI is the sum of the Monthly B-WSI values for December through March. The regional values are the average of the individual station values. See Appendix 3 for an example B-WSI calculation. Afier developing the B- WSI, I examined the correlation between the B-WSI and the MDNR WSI and the correlation between the B-WSI and yearling beam diameter. Results The WSI data collection stations are evenly distributed throughout the entire state (Figure 33). Each management unit contains at least 3 stations, although Cass City and St. Charles in the Saginaw Bay management unit only began collecting data in 1998. In the Southwestern management unit, however, 2 of the stations (Allegan F arm and Allegan Forest) are located within a few miles of one another. Allegan Farm and Forest apparently experience similar climatic pressures, creating almost identical trends in annual WSI values (Figure 36), but the trends are usually more than 25 points apart. WSI values are available for the UP and the Northern LP for the last 30 years and for the last 11 years in the Southern LP. Over the years, however, the time frame for the 139 140 120 A 100 / \ 1 80 \V/ \/ 60. ' I if. ws1 /> 4O 20 0 I I T I I I I l 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year Figure 36. The annual corrected WSI values recorded at Allegan Farm (solid line) and Allegan Forest (broken line). 140 collection of the WSI data varied (Figure 35). For example, during some years collection did not begin until late December or early January, while recently, collection began in early November in the UP. The length of the collection also varied from 83 days (in 1972 in the Northern LP) to 173 days (in 1992 in the UP). Even for those years when values covered the same number of days, the starting and ending dates were frequently different. Also, the WSI rarely covered the same time frame in the 3 different regions in any single year. Occasionally, data collection did not begin and end on the same date even for different stations within the same region. Such inconsistencies in the current uncorrected data make comparisons between years and regions impossible because the WSI is cumulative, and its final value depends on the number of days and the period for which the data were collected. The time frame covered most consistently was between days 42 and 168 (days since November 1). The corrected WSI values (described above) were used for all of the following analyses. Calculating the non-cumulative weekly WSI values made it possible to examine trends in winter severity as it fluctuated throughout the season. Each winter has its own pattern of fluctuating WSI values. An example of 3 winters in the UP with similar final WSI values is shown in Figure 37. Currently, the MDNR creates figures similar to Figure 37a to compare the severity of several winters. Such figures may obscure the true differences between the weather patterns of these 3 winters. After the first week, the 1998 winter was more severe than the others in the beginning of the season (Figure 37b). The 1994 winter peaked above the others in the middle and end of the season (Figure 37b). The 1990 winter had a large drop in severity in the middle of the season (Figure 37b). These patterns are not visible in Figure 37a. 141 (a) 80 70 ON C M 0 Cumulative WSI 8 8 N O p—I O 0 (b) 10 *1994-95 " ‘- ' 1990-91 —i-l998-99 -—LI I I T fl *I fl T T 'I 77 f I I T I T I 7- 14- 21- 28- 4- ll- 18- 25- l- 8- 15- 22- l- 8- 15- 22- 29- 5- 12- 19- 26- Dec Dec Dec Dec Jan Jan Jan Jan Feb Feb Feb Feb Mar Mar Mar Mar Mar Apr Apr Apr Apr Date +1994-95 (total=68.62) ' I ' 1990-91 (total=7l.57) q—1998-99 (total=73.48) l/ \\ I \ 1‘ \ Weekly wsr O I I T T I T I I T l I I I l 7- 14- 21- 28- 4- ll- 18- 25- l- 8- 15- 22- l- 8- 15- 22- 29- 5- 12- l9- 26- Dec Dec Dec Dec Jan Jan Jan Jan Feb Feb Feb Feb Mar Mar Mar Mar Mar Apr Apr Apr Apr Date Figure 37. The (a) cumulative and (b) weekly WSI values from three selected years with similar final WSI values in the Upper Peninsula. 142 Restricting the WSI data to those years that covered the day 42 to day 168 period, reduced the available data to 20 years in the UP, 16 years in the Northern LP, and 11 years in the Southern LP (Figure 38). From the available data, the worst winter on record for the Northern LP and the Southern LP was the winter of 1993. The 1993 winter was of average to below-average severity for the UP, however, where the worst winters were in 1978 historically and 1995 recently. In all 3 regions, the mildest winter on record was the 1997 winter. The Northern LP and Southern LP winters are more similar to one another than either’s winters are to the UP, but the WSI values for all 3 regions track one another closely (Figure 38). The WSI values averaged across the entire region, may not be an accurate reflection of the true winter conditions of the region, especially in the Northern LP and Southern LP. In the UP, when the data were divided into the separate management units, the lines rarely deviated from one another (Figure 39), suggesting that the severity of the winters across the UP was fairly homogeneous. The similarity was also reflected in the CV values (Table 28). The variation of the WSI values for the entire region was no greater than the variation of values for the separate management units. In the Northern LP, however, the WSI values of the Northeastern management unit were generally larger than those of the other 2 management units (Figure 40). But note that Gladwin was the only station that had data from more than one year in the Saginaw Bay management unit (Figure 34), so the Saginaw Bay management unit values were not representative of the entire management unit. The CV values varied across the years within both the average regional and average management unit WSI values (Table 29), perhaps indicating that winter weather varied widely across the region, and was not adequately represented by 143 coom 32 mag 82 03. m3: 08: mg— mg: _ p _ h p r _ p l— .c2m8 :08 E 32 8 32 Eat 82? 53 0358 080880 .wm 953:. 58> 3: O8— mwa wwa: 5o: cam: 32 vwa $2 $3 $2 8o: 33 mg: RE 03— - x / ..-Ii|-b.wl. \ — ‘ s o OI. — a . .............. a. uuuuuuu Starr's. IIIIII .............. w-...-.m--..-u..---.- a i 0 ~ I I . O _ p n L h p b p _ 1P — p h p P o ION r ow ow8>a mum I'll'l Ill own—3a .52 1 cc Adz 38-838823: . ow .1 ~ — .......... 1.-....1..-.q-...-.-----....-.---.---.-.-......-.... OI — , 882:5 roo- — \ I . 9‘ o . e [ON— m: . Q ~ «. .o: oc— ISM 144 WSI —O—Western UP ' 'I ' Eastern UP 160 .- 100 80 60 140 / 120 81 m \f M 5* 40 3 20 O I \qflb\9’\'\\9’\ ‘i: \9 4°) \ I _I T—I —I— \ I 9%“\9%\9°°'K9%°’ 9%K9‘b‘ifib 9%\9%°°\9%9 99°\99\99'K993\99“\995\99 I I \ fi' f I If I I j \ Year fir I I 6 T i I \991\99<13\999L®o Figure 39. Corrected annual WSI values of the Western UP and the Eastern UP 145 Table 28. The mean corrected WSI values of the UP, averaged over the stations in the Western UP and Eastern UP management units. Year Unit/Region N Mean WSI CV 1969 Western UP 3 114.28 12.7 Eastern UP UP 3 114.28 12.7 1977 Western UP 4 108.5 19 Eastern UP UP 4 108.5 19 1978 Western UP 5 145.02 13.5 Eastern UP UP 5 145.02 13.5 1981 Western UP 3 128.42 19.4 Eastern UP 3 135.4 14.4 UP 6 131.91 16.7 1983 Western UP 6 109.6 18.8 Eastern UP 4 115.23 12.4 UP 7 112.81 14.1 1984 Western UP 6 100.77 18.2 Eastern UP 4 107.75 17.7 UP 10 103.56 17.3 1985 Western UP 6 118.33 16 Eastern UP 4 106.58 7.2 UP 10 113.63 14.1 1986 Western UP 4 55.13 27 Eastern UP 4 64.58 14.7 UP 8 59.85 21.1 1987 Western UP 6 100.18 23.2 Eastern UP 4 90.9 10.2 UP 10 96.47 19.4 1988 Western UP 6 106.48 21.8 Eastern UP 4 90.48 15.5 UP 10 100.08 20.8 1989 Western UP 6 86.17 22.7 Eastern UP 1 107.3 UP 7 89.14 21.9 1990 Western UP 6 69.87 23.9 Eastern UP 4 74.13 18.4 UP 10 71.57 20.8 146 Table 28 (cont'd.) 1991 Western UP 6 75.2 19.2 Eastern UP 4 79.18 25.1 UP 10 76.79 20.6 1992 Western UP 6 76.9 21.4 Eastern UP 4 78.85 24.2 UP 10 77.68 21.3 1993 Western UP 6 82.67 17 Eastern UP 4 93.29 15.7 UP 10 86.92 16.7 1994 Western UP 6 69.23 22.3 Eastern UP 4 67.7 19.1 UP 10 68.62 20 1995 Western UP 6 122.25 18.4 Eastern UP 4 107.51 16.8 UP 10 116.35 18.2 1996 Western UP 6 109.13 18.6 Eastern UP 4 97.41 19.8 UP 10 104.45 18.9 1997 Western UP 6 56.18 16.4 Eastern UP 4 54.06 29 UP 10 55.33 20.6 1998 Western UP 3 73.63 21.2 Eastern UP 5 73.38 17.8 UP 8 73.48 17.6 1999 Western UP 4 76.42 11.4 Eastern UP 3 70.4 26.4 UP 7 73.84 17.3 147 —O—-Northwestern LP " C ' Northeastern LP —A" Saginaw Bay 100 90 80 70 60 50 4O 3O 20 10 0 \9‘9 \9‘6“ 0%" @558 9%" \q‘b‘i’ 9‘19 99° \99‘ 99" 993 \99“ \99" \qu .99“ 99% \ng r1000 WSI Year Figure 40. Corrected annual WSI values of the Northwestern LP, the Northeastern LP, and Saginaw Bay. 148 Table 29. The mean corrected WSI values of the Northern LP, averaged over the stations in the Northwestern LP, Northeastern LP, and Saginaw Bay management units, and the coefficient of variation. Year Unit/Regifli N Mean WSI CV 1984 Northwestern LP 2 67.5 7.12 Northeastern LP 2 69.3 12.4 Saginaw Bay 1 75.1 Northern LP 5 69.74 8.4 1985 Northwestern LP 2 66.9 27.9 Northeastern LP 2 82.2 16.2 Saginaw Bay 1 60.1 Northern LP 5 71.66 21.2 1986 Northwestern LP 2 39.15 23.7 Northeastern LP 2 41.5 26.6 Saginaw Bay 1 34.7 Northern LP 5 39.2 19.7 1987 Northwestern LP 2 63.65 11 Northeastern LP 2 38.25 29.4 Saginaw Bay 1 42.1 . Northern LP 5 49.18 30.2 1988 Northwestern LP 4 58.6 21.7 Northeastern LP 3 73.63 17.9 Saginaw Bay 1 52.8 Northern LP 8 63.51 21.9 1989 Northwestern LP 4 54.73 16.1 Northeastern LP 3 92.67 24.2 Saginaw Bay 1 46.7 Northern LP 8 60.45 25.2 1990 Northwestern LP ' 4 46.25 14.4 Northeastern LP 3 69.2 21.3 Saginaw Bay 1 47.3 Northern LP 8 54.99 26.9 1991 Northwestern LP 4 43.15 12.7 Northeastern LP 3 69.9 25.7 Saginaw Bay 1 41.9 Northern LP 8 53.03 32.7 149 Table 29 (cont'd). 1992 Northwestern LP 4 46.25 20.4 Northeastern LP 1 56.6 Saginaw Bay 1 50.8 Northern LP 6 55.28 16.5 1993 Northwestern LP 4 70.75 10.7 Northeastern LP 3 91.53 25.9 Saginaw Bay 1 69.7 Northern LP 8 78.41 22.2 1994 Northwestern LP 4 46.25 16 Northeastern LP 3 62.33 27 Saginaw Bay 1 43.5 Northern LP 8 51.94 25.8 1995 Northwestern LP 4 70.45 19 Northeastern LP 1 67.9 Saginaw Bay 1 67.4 Northern LP 6 69.52 15.1 1996 Northwestern LP 3 65.12 17.4 Northeastern LP 3 74.77 21 Saginaw Bay 1 50.8 Northern LP 7 67.21 21.1 1997 Northwestern LP 2 30.85 13.5 Northeastern LP 2 39.55 5.9 Saginaw Bay Northern LP 4 35.2 16.3 1998 Northwestern LP 4 48.13 8.3 Northeastern LP 3 55.27 22.9 Saginaw Bay Northern LP 7 51.19 17 1999 Northwestern LP 3 43.67 21.3 Northeastern LP 1 39.9 0 Saginaw Bay Northern LP 4 42.73 18.3 150 the chosen stations. In the Southern LP, the WSI values of the Southwestern management unit were consistently several points higher than those of the South Central and Southeastern management units, although all follow the same general pattern (Figure 41). The regional CV values were greater than the management unit CV values in almost every year (Table 30). The Southwestern LP appeared to experience more severe winters than the rest of the Southern LP and its WSI values were inflating the regional average. The results of the regression analyses varied drastically and showed few obvious patterns on either the regional or management unit scales (Table 31). Generally the p- values were lower and the r'2 values were higher for the UP and its management units than for the other regions and management units. No population parameters were significantly correlated with the WSI for all regions. The slopes of the regression lines even varied in sign in several of the categories. Correcting the buck and total harvest for hunter effort generally decreased the significance and the fit of the regression line. In a few cases, using the WSI values summed for only the first and fourth month improved the fit of the regression line, but generally there was little change from the regressions using the total WSI values (Table 31). The B-WSI correlated well with the MDNR WSI in the UP (r=0.9067) and only moderately well with the MDNR WSI in the Northern LP (r=0.8108). Regressions against yearling beam diameters using the yearly B-WSI values provided similar results to the regressions using the MDNR WSI (Table 32 as compared to Table 31). Using just the UP February and Northern LP March monthly B-WSI values, however, provided stronger correlations with yearling beam diameter than using the yearly B-WSI values (Table 32). 151 WSI 90 80 70 60 ' '0 " Southwestern LP —I— South Central LP fl' Southeastern LP + I \ ,4. ’A‘ I \‘r 12%. 50 , 40 \ r \ "‘ I 20 10 O T T T T v I I I I I I I 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 Year Figure 41. Corrected annual WSI values of the Southwestern LP, South Central LP, and the Southeastern LP. 152 1998 1999 2000 Table 30. The mean corrected WSI values of the Southern LP, averaged over the stations in the Southwestern LP, South Central LP, and Southeastern LP, and the coefficient of variation. Year Unit/Region N Mean WSI CV 1988 Southwestern LP 1 41.7 South Central LP 4 41.1 23.7 Southeastern LP 3 43.7 11.4 Southern LP 8 42.16 16.7 1989 Southwestern LP 3 68.2 24.8 South Central LP 4 37.3 19 Southeastern LP 3 46 23.3 Southern LP 10 49.17 36.6 1990 Southwestern LP 3 57.5 29.3 South Central LP 4 37.5 6.8 Southeastern LP 3 31.4 33.6 Southern LP 10 41.68 37.8 1991 Southwestern LP 3 53.9 33.2 South Central LP 4 32.6 6.9 Southeastern LP 3 40.6 14.8 Southern LP 10 41.37 34.5 1992 Southwestern LP 3 63 33.6 South Central LP 3 43.6 3.7 Southeastern LP 3 43.1 38.4 Southern LP 9 49.91 36.6 1993 Southwestern LP 3 88.5 33.1 South Central LP 3 56.8 1.3 Southeastern LP 3 63.2 28.1 Southern LP 9 69.49 35.6 1994 Southwestern LP 3 59.9 32.1 South Central LP 4 43.8 18.1 Southeastern LP 3 34.7 21.3 Southern LP 10 45.88 35.5 1995 Southwestern LP 3 75.3 26.9 South Central LP 4 50.4 15.3 Southeastern LP 1 34.1 Southern LP 8 57.71 36.5 153 Table 30 (cont'd). 1997 Southwestern LP 3 48.7 22.1 South Central LP 4 30.2 27.5 Southeastern LP 3 21.2 33.2 Southern LP 10 33.05 43.3 1998 Southwestern LP 3 65.3 23.3 South Central LP 3 43.6 10.4 Southeastern LP 3 33.3 28.5 Southern LP 9 47.41 37.4 1999 Southwestern LP 3 49.73 32.7 South Central LP Southeastern LP 3 28.97 33.2 Southern LP 8 45.18 39.4 154 Table 31. Results of the regression analyses of total annual WSI values and the first and fourth month annual WSI values against several dependent variables. Total Annual ws1 1't & 4‘" Month Annual wsr Dep. Var. Region/U nit N Int. Slope p 1'2 Int. Slope p I‘2 Buck UP 16 78376 -348.23 0.062 0.262 67894 -761.11 0.038 0.312 Harvest Western UP 16 63557 -294.62 0.011 0.356 Eastern UP 16 15675 -88.956 0.003 0.467 Northern LP 13 107927 -193.47 0.387 0.058 93221 207.84 0.668 0.015 Northwest LP 13 44899 -23.017 0.849 0.003 Northeast LP 13 39265 43.564 0.658 0.016 Southern LP 8 95414 122.7 0.859 0.004 106208 -341.03 0.813 0.007 Southwest LP 8 23246 149.85 0.305 0.131 South Central LP 8 30312 172.52 0.564 0.043 Southeast LP 8 16684 -l71.64 0.133 0.259 Total UP 16 121544 -587.73 0.076 0.240 101587 -1200.3 0.069 0.249 Harvest Western UP 16 98103 —490.84 0.023 0.298 Eastern UP 16 20080 -114.91 0.015 0.336 Northern LP 13 238920 -1339.8 0.041 0.285 167448 -375.18 0.805 0.005 Northwest LP 13 91569 -339.34 0.411 0.053 Northeast LP 13 82666 -186.83 0.380 0.060 Southern LP 8 272155 -1662.4 0.410 0.087 223154 -2104.6 0.624 0.032 Southwest LP 8 61426 18.719 0.965 0.000 South Central LP 8 96741 -598.86 0.543 0.048 Southeast LP 8 37707 -486.26 0.079 0.336 Buck UP 11 37.512 -0.023 0.886 0.002 38.0602 -0.1016 0.763 0.010 Harvest Western UP 11 41.041 -0.0331 0.812 0.006 per Eastern UP 11 34.215 -0.1117 0.367 0.082 Thousand Northern LP 10 23.328 -0.024 0.748 0.011 21.288 0.0397 0.795 0.007 Hunter Northwest LP 10 19.503 0.0503 0.541 0.039 Hours Northeast LP 10 22.123 0.0036 0.947 0.001 Southern LP 8 14.607 0.031 0.723 0.017 15.784 0.0211 0.909 0.002 Southwest LP 8 13.02 0.0475 0.279 0.145 South Central LP 8 12.883 0.1026 0.401 0.090 Southeast LP 8 15.12 -0.1124 0.266 0.152 Total UP 11 55.124 -0.0323 0.891 0.002 53.339 -0.0388 0.938 0.001 Harvest Western UP 11 64.023 -0.0799 0.717 0.014 per Eastern UP 11 41.388 -0.1067 0.472 0.053 Thousand Northern LP 10 54.965 -0.2962 0.127 0.217 38.84 -0.054 0.898 0.002 Hunter Northwest LP 10 39.838 -0.0234 0.926 0.001 Hours Northeast LP 10 49.023 -0.157 0.220 0.146 Southern LP 8 41.187 -0.2227 0.419 0.083 32.85 -O.1593 0.787 0.010 Southwest LP 8 32.615 -0.0327 0.828 0.006 South Central LP 8 40.942 -0.1958 0.634 0.030 Southeast LP 8 35.047 -0.3843 0.143 0.248 %1.5 yrs UP 6 20.473 -0.1284 0.143 0.376 16.529 -0.2825 0.112 0.426 Lactating Northern LP 6 5.7661 0.1388 0.320 0.196 8.5992 0.3309 0.339 0.182 Southern LP 5 35.528 -0.1495 0.439 0.156 37.681 -0.7117 0.213 0.354 155 Table 31 (cont'd). %2.5 yrs UP 6 62.108 -0.2216 0.023 0.675 56.244 -0.5273 0.001 0.894 Lactating Northern LP 6 43.639 0.0722 0.435 0.126 48.62 -0.0479 0.839 0.009 Southern LP 5 68.516 -0.0959 0.637 0.061 72.074 -0.6159 0.310 0.253 %3.5+ yrs UP 6 81.523 -0.3007 0.004 0.840 69.685 -0.5529 0.026 0.664 Lactating Northern LP 6 46.871 0.1595 0.229 0.273 55.291 0.0562 0.874 0.006 Southern LP 5 60.956 0.0803 0.545 0.098 69.749 -0.3467 0.397 0.183 %Yearling UP 11 74.245 -0.3791 0.024 0.449 63.092 -0.861 0.010 0.540 Bucks in Western UP 11 69.13 -0.3261 0.017 0.450 Harvest Eastern UP 11 72.151 -0.3097 0.010 0.500 Northern LP 12 61.869 -0.0766 0.549 0.037 61.69 -0.2592 0.334 0.094 Northwest LP 12 72.779 -0.1517 0.464 0.055 Northeast LP 12 56.665 -0.0391 0.722 0.013 Southern LP 9 55.504 0.0515 0.383 0.110 55.269 0.1879 0.105 0.331 Southwest LP 9 52.224 0.1367 0.121 0.308 South Central LP 9 56.241 0.0207 0.796 0.010 Southeast LP 9 54.483 -0.101 0.258 0.178 Average UP 15 -1815.4 24.051 0.004 0.478 -1815.4 24.051 0.004 0.478 Yearling Western UP 13 18.431 -0.0133 0.021 0.397 Beam Size Eastern UP 13 19.055 -0.017 0.072 0.264 Northern LP 13 18.651 -0.01 0.149 0.179 18.452 -0.0224 0.128 0.197 Northwest LP 13 19.101 -0.0079 0.323 0.089 Northeast LP 13 17.911 -0.0065 0.177 0.159 Southern LP 10 22.996 -0.0266 0.017 0.533 21.981 -0.0176 0.523 0.053 Southwest LP 9 23.386 -0.0283 0.000 0.851 South Central LP 10 22.955 -0.0177 0.217 0.183 Southeast LP 10 22.61 -0.0147 0.444 0.075 156 Table 32. Results of regression analyses of monthly and annual B-WSI values against yearling beam diameter. Monthly and annual B-WSI values were divided by 10 and 25, respectively, to place them on a scale similar to that of the MDNR WSI. B-WSI Refln N Int. Slope p-value r2 December UP 13 17.509 0.0042 0.4295 0.0576 Northern LP 13 18.167 0.0055 0.2702 0.1096 January UP 13 17.654 0.0042 0.3557 0.0779 NorthemLP 13 18.151 0.0017 0.69 0.022 February UP 13 18.299 0.0139 0.0064 0.5061 Northern LP 13 18.197 0.0031 0.3936 0.0669 March UP 13 17.71 0.0093 0.1122 0.2132 Northern LP 13 18.403 0.0183 0.0018 0.6039 Annual UP 13 18.1 0.0091 0.043 0.3222 NorthernLP 13 18.302 0.0052 0.1379 0.1888 157 Discussion The quality of the WSI data depends on how well the data represent the true winter conditions across Michigan and the consistency of the data collection process. On a geographic scale, the data present few concerns. The stations are scattered evenly throughout the management units (Figure 33). Although historically only Gladwin has represented the Saginaw Bay management unit, the recent addition of St. Charles and Cass City will provide a more accurate average WSI of this management unit (Figure 33). The average WSI value of the Southwestern management unit is heavily biased in favor of the winter conditions within the Allegan area. Although the Allegan Farm and Allegan Forest stations provide consistently different WSI values (Figure 36), probably due to higher snowfall at Allegan Farm, they may not provide independent data because of their close proximity to one another. Although the geographic distribution of the WSI data is generally sound, the inconsistencies in the dates of data collection detract from the quality of the data. The WSI is a cumulative index, and annual values cannot be compared unless each station collects the data for the same time period each year. I had to calculate corrected annual WSI values because of the variation in the collection times (Figure 35). Using the corrected values reduced the number of years in the historical record in some regions by almost half (Figure 34). The choice of the day 42 to day 168 time period was based solely on the condition of the available data, and I do not recommend using this time period for all future WSI surveys. Future data collection time periods should be determined by MDNR personnel familiar with Michigan’s winter conditions and should cover all months during which winter conditions are expected. The time period used in 158 the corrected value eliminated the early winter values from the index. Winter arrives early in the UP, and including data from November and early December would increase the accuracy of the index. If early winter data are used in the UP, statewide comparisons cannot be made unless the UP WSI values are corrected for the time period covered by the Lower Peninsula data. Data must also be collected on the same dates at every station. If a station is missing data from even just a few weeks throughout the season, that station’s data must be eliminated from the regional average for the entire season. Once each station’s data are standardized, the final values can be averaged to determine a WSI value for each management unit or region. Averaging over such large geographical areas may not make sense, however. The UP has fairly homogeneous winter weather patterns (Figure 40, Table 28), but the Northern LP (Figure 40) and the Southern LP (Figure 41) each contain a management unit whose winter severity differs from the other two management units in the region. These results imply that using the WSI on the management unit level would be more accurate than on a regional level. The regression analyses do not reflect this, however; the regressions against the management unit WSI values do not generally provide better fits than those against the regional values (Table 31). In several cases, regressions against the management unit values were not possible due to insufficient data (in the dependent variables). Whatever spatial division is used in the WSI, other data must be available on the same scale for such correlational studies. Verme (1968) suggested that a critical WSI value can be determined for each area to mark when winter losses will reach significant levels. He observed that in the UP, a WSI value of greater than 100 led to moderate to severe losses in deer as reported by 159 field biologists. When the index did not reach 100, winter losses were insignificant. Based on Verme’s (1968) critical value of 100 for the UP (which covers the same time period as the corrected WSI of this study), few recent winters should have resulted in severe winter losses (Figure 38). Similar critical values can be determined for the Northern LP and Southern LP based on climate, habitat carrying capacity, and population density (Verme, 1968). The MDNR would then be able to predict moderate to severe winter losses when a region’s WSI value passed its critical value. In its present form, the WSI can produce similar final values for years whose winter weather patterns are different from one another (Figure 37). Severinghaus (1947) found that severe weather during the early months of spring has a greater adverse effect on the deer than a similar pattern occurring earlier in the year. As winter progresses, deer gradually use up their fat stores and will not survive the winter if spring and its new food sources come too late (Mautz, 1978). Early onset of winter will also decrease the length of time deer have to accumulate their fat supplies. In the example presented in Figure 36, I might expect higher deer mortality following the 1994 winter. The winter began and ended more severely than the others (Figure 37b). The current index gives the 1994 winter the lowest WSI value of the 3 winters presented, however (Figure 37a). Verme and Ozoga (1971) recognized the greater effect the beginning and end of winter has on deer and compared a WSI of the first and fifth months of winter weather to the total WSI value. They found that the first and fifth month index provided much better correlations with deer physical condition and fawn mortality than the total WSI value. Using the first and fourth month (probably comparable to Verme and Ozoga’s (1971) second and fifth month) WSI value increased the quality of the fit of the regression in a 160 few cases, but did not demonstrate a consistent pattern of better fit (Table 31). The index might have provided a better fit if the first month included data from November or early December, rather than mid December to January. An accurate winter severity index that reflects the true winter conditions of Michigan could be used to predict over-winter deer losses and the percentage of pregnancies that are carried to term in spring. The current WSI cannot be used in this manner. This evaluation highlights several options for the future of the WSI. The current system could be maintained with improvements made in the collection process. The dates of collection must be standardized across the state and across years. Additional evaluations may also be necessary to determine what combinations of months will provide the best index. The number of collection stations could be increased to reduce the influence of any one station on the average and decrease the variance of the regional means. The location of the stations could also be evaluated to determine if they are placed in the areas with the highest deer population levels. A final option would be to explore other methods of collecting similar data. Other severity indices for use in big game management have been developed based on daily maximum temperatures and snow depth (Picton and Knight, 1971); the number of days of winter stress (Roper and Lipscomb, 1973); the deviation from monthly temperature and precipitation means (Picton, 1979); weekly air temperature, air movement, snow cover, and snow depth (Leckenby and Adams, 1986); and previous winters’ snow (Mech et a1, 1987). Data collected by the weather service such as daily snowfall, average daily temperature, and daily minimum and maximum temperatures may provide such a solution. The data would be available from more stations throughout 161 the state to increase the number of replicates, would not require MDNR personnel to collect the data, and would be more easily standardized. As an example of the possibilities for such an alternative WSI, I developed a preliminary alternative index, which I named the B-WSI. The B-WSI is not strongly correlated with the current WSI, but the differences appear to make it a stronger predictor of yearling beam diameters (Table 32). Single monthly values of the B-WSI (Table 31) are more strongly correlated with yearling beam diameter than either the yearly MDNR WSI or the first and fourth month MDNR WSI (Table 31). The B-WSI is also calculated from a reliable and standardized data source that is easily accessible. Further exploration into the development of a new winter severity index may be the best alternative to the current WSI system. 162 CHAPTER 5 CONCLUSION The voluntary check stations, the lactation survey, and the winter severity index can all provide valuable data to the MDNR for the management of Michigan’s white- tailed deer. The check stations provide data that can be used in the SAK estimates of population size, in deriving indices of herd health, and in tracking herd or harvest composition. The lactation data are perhaps the least affected by hunter-derived bias and provide useful data on the proportion of lactating does. The winter severity index can be used to predict antler development, a possible indicator of herd health. All three surveys have not reached their full potential, however. All can be improved to increase the quality of the resulting data and the manner in which those data are used. The biodata also faces possible significant changes as the MDNR discusses mandatory deer registration. The evaluation of the check station data suggests several management recommendations that could improve the quality of the biodata: 0 Increasing the number of check stations, especially in the Southern LP where checking rates are low, could increase the number of deer checked and reduce geographic biases. As the number of check stations increases, the convenience of checking deer will increase, encouraging more hunters to check their deer. Checking convenience can also be increased by opening check stations during the evening or weekend hours. Longer hours of operation may be especially important in collecting additional data from the archery season when the convenient highway check stations are not open. 163 If the number of check stations are increased, however, the number of qualified. agers will have to also increase through more intensive training methods. Current aging practices lead to acceptable error rates if deer are classified as fawns (0.5 years), yearlings (1.5 years), or adults (2.5+ years). Divisions into older age classes severely reduces accuracy. If individual age classes are deemed necessary, more intensive training could increase the number of people qualified to age deer, making more check stations possible, and could increase the accuracy of the aging deer into older age categories and decrease the number of deer aged as ‘A’ or ‘AA.’ While the lactation and beam diameter data follow expected trends and could be used as indices of herd health, additional research should be conducted to determine exactly how these indices could be calculated and used. Additional research could also be conducted to explore the possibility of weighting the biodata by the distribution of the biodata records across a geographic region or a the different seasons to provide more precise estimates. Such weights could counter the effect of observed geographic and seasonal biases. Until sample sizes are increased through the addition of check stations or other means, most analyses should not be conducted on the county level. Many counties do not have sufficient sample sizes to make calculations within an acceptable margin of enon The data transcription process could be revised to eliminate inconsistencies or to include data that could be useful in the analysis of the biodata. Most of these recommendations are valid only for the current voluntary checking system. If Michigan institutes mandatory deer registration, the biodata could change drastically. 164 The results of the biodata evaluation do not suggest that a mandatory registration system is necessary to collect accurate and useful data on Michigan’s harvested deer. The current data have several valuable uses, and implementing the above recommendations can only improve their quality and value. The lactation data, as a subset of the biodata, will also benefit from many of the recommendations listed above for improving the biodata. The evaluation of the lactation survey found that, while the data may not be useful as an estimate of annual recruitment or even as an estimate of the number of reproductive does, they may provide a useful index of reproductive success. Additional research could answer questions as to when fawns are weaned and how long a doe continues to lactate after her fawn dies. Such information could be used in conjunction with the lactation data to develop estimates of recruitment. By increasing the total number of deer checked, the MDNR should also be able to increase the number of does checked during October to provide more accurate estimates of the number of reproductively active females on smaller geographic scales, such as by management unit or possibly county. The WSI is entirely separate from the check station data and would not be affected by improvements to the biodata. The evaluation of the WSI did suggest several management recommendations that could improve the quality of the winter severity data. The MDNR must first decide whether the current WSI should be maintained with greater quality control measures, or whether an alternate WSI should be developed. The current WSI could be vastly improved by standardizing the data collection process, but such improvements may not necessarily increase the value of the WSI. By exploring alternative WSIs, the MDNR could develop an index that incorporates easily collected 165 data but that provides valuable predictive power for winter mortality, beam diameters, or other measures of herd health. By improving and standardizing data collection and analysis processes and by increasing the geographic and temporal coverage of each field survey, the MDNR will be able to collect more accurate and precise data on Michigan’s white-tailed deer herd. These data can then be used to track the success of current management practices or to determine the necessity for changes in management practices. The MDNR will also be able to justify their management decisions to the public by providing high quality data as supporting evidence. Improving the quality of the field surveys can increase the confidence the MDNR has in their management practices and the confidence the public has in the MDNR. 166 APPENDICES 167 Appendix 1. The data sheet used to record the 1999 biodata. MICHIGAN DEPARTMENT OF NATURAL RESOURCES - WILDLIFE BUREAU 1999 DEER PHYSICAL DATA Please pnnl clearly with a number 2 penal! (A\ I fir . I I l . T \ ,”‘A fl 13‘8”; (3;: (3; ; LOCATION TAKEN ; (Q, :3. 5-..,DAITLERS ' (a. . 63 I If; le @ : I l ‘ "P 4: ‘ V ,3 3 f .l :R. I)! '“m I 15' I. E 'POIVATE 0n- MG. ”5‘; l (5‘ C‘ I SEX AG: ' 7". . 7" 1 A, I SPIKES I . ‘ ‘. I cl , 11 3 JR 1 UNIT 1 V V I V’ I N I'msl; 4:" i \“J 1 ~13! , LESS 1 I LAC’ATION I ‘ "i I c a E swaps? .0110. g courlrv . ; or , , I IOTA. . THAN? lucmlsn DA'ECP I ASEF ... L j 1 1 110.13 I 2355 L TOM.‘ I RANGE . F . 11.37.101.81 POINTS . w 1 :00 I REMARKS HS 113 I f 5 I :PVTI I I I ‘ “ i I [ I :1 PUB' 1 '. l I: 9VT: "3 Pue‘ :1 PVT! msmgmg E PVT m2 PVT gmzmzmzmzmg :3:- PVT w E w 81 E . 1': PVT N, w ' s E PVT N' w! 5‘ E 3 PVT N w S E El PVT w "‘ E :3 PVT w E 3 PVT w! E I :3 PVT w pUBI E Ia PVT W ;-— s E PVT; N w P031 5 E a 13 PVT N w 8 E 1 :3 PW, N w "'7 S E I: PVT, N w s E D PVT N w 5 E [3 PVT N w . S E @STATTON STATION NUMBER 1 (13) DATE ® UNIT OR STATION SUPERVISORS SIGNATURE 1 I I I 4- Mo Day Yr i I MAIL COMPLETED FORM PROMPILY TO. WlIdITIe Fueld Surveys - Michigan Demnmenl 01 Natural Fesowces 8011 30030 - 1.808109, Mlcmgar 48909-7330 R-2064 (Rev 771971999, 168 Appendix 1 (cont’d). INSTRUCTIONS FOR DEER PHYSICAL DATA SHEET EXPLANATION OF DATA ENTRIES - Each line on the form is for recording information ab0ut one deer. 1 h) 6-7. 10-11. VISIBLE or CONCEALED; Highway check stations only. Write “V" it the deer would be vusrble to an observer standing ott the road on the passenger side of the vehicle Write “C" it it IS nOt vrs:ble from that location. B. M. E or L: Leave blank .t the deer was killed during the regular firearm oeer season. Otherwrse write "B" for bow season. "M" for muzzleloader season. ”E“ tor early season. or "L' tor late antlerless season. PRIVATE or PUBLIC LAND‘ Check “PVT" fOr private land or “PUB" for public land. DEER MANAGEMENT UNIT: For eacn deer Checked. ass:gn a three-digit Deer Management Unit (DMU). The DMU shOUld reference the unit where the deer was tagged. not where the hunter had a permit. COUNTY CODE: Record the code number for the county in which the deer was killed. The county code shoulc be a two d'git number. Le. Alcona County should be recorded as 01 TOWNSHIP and RANGE: Record the location where the deer was killed. Township and range should be recorded as two digit numbers. Circle direction, Le. “N“ or “S" for township and "W" Or “E” for range. SEX: Record the sex of the deer. Use “F" IOr temale or “M" for male. and no other symbols. AGE: Use the fellowing age classes: 1/2. 1-1/2. 2-1/2. 3412. etc.. but record these as 1/2, 1, 2. 3. etc. It the deer is, not a lawn. but cannot be aged to the nearest year. age as follows: “A" (adult; not a lawn but can't be aged) or “AA" (adult-adult; 2-1/2-years-old or older). lnexpenenced agers should only use the codes ‘1/2" (lawn), “1" (yearling). or “AA” (older than yearling). BEAM DIAMETERS: Record the diameter of each antler measured one inch above the burr. Each record is the average ot two measurements taken at the greatest and smallest diameters. If either antler is less than one inch long. record “8" (broken). The beam diameter of Spikes should be measured even it spikes are less than three inches in length. Beam diameters should be recorded for all bucks. 169 12. ..A '(A) 14. ‘15 16. TOTAL POINTS: Record the total number of boots on the two antlers. Spike deer Should be included 00 not estimate the number of paints: if one or both antlers is broken. record "8" =br0keni. Leave this column blank tor antlerless deer SPIKES LESS THAN THREE INCHES. Check (1!) this column it the longest spike is less than three inches. Measure from the Skull not from the burr Be sure to record beam diameters of all spike bucks. DO NOT check this column for button bucks. LACTATION CODE: Code “HM+" it the hunter saw milk. “HM—" it the hunter saw no milk. “M+" it yOU saw milk and “M-" if no milk was present LACTATION DATE OR REMARKS Write the date the milk was or was not seen; the date is critical. Also use this space to record anomalies. tag numbers. specrmen bag numbers. ager names. etc. TB . WILDLIFE BUREAU PERSONNEL ONLY: Deer that come into any deer cheek station should have their rib cage examined for TB tubercles (see lamirated pictures). Record a “+" it pea- s:zed tan or yellow nodules or lumps are seen on the inside of the rib cage. If no nodules are seen. record a “-". It you could not examine the rib cage. record a “o". It tubercles are present. collect the head and a section of the rib cage. and record the hunter‘s name. address and telephone number in the remarks column. AGED BY: Fill in the ager's code number. The ager 5 code number should be tilled in for eacn deer. Do not use ditto marks. If the ager does not have a number. leave the number column blank. but be certain to record the full name ltirst. middle initial and last) in the column marked Lactation Date or Remarks (column 15). 16-20. BOTTOM OF PAGE: Record the station name. number and date checked. Wildlife Management Unit or station supervrsor should check each form for errors before signing. Appendix 2. Descriptions of the variables contained in the SPSS biodata file ‘8799bio.’ year: year during which the deer was harvested and checked (January harvests are listed under the previous year with the rest of that year’s harvest) cseason: categorical code for the season during which the deer was harvested blank = firearm B = bow (archery) M = muzzleloader E = early season L = late season dmu: deer management unit in which the deer was harvested (these boundaries change each year) county: numerical code for the county in which the deer was harvested cage: categorical code for the age of the deer A = not fawn AA = not fawn or yearling 00 = fawn 01 = 1.5 years old etc. clbeam: categorical code for the diameter (in mm) of left beam at 1 inch above the burr, recorded for only yearlings through 1991 B = beam is broken (less than 1 inch long) crbeam: same as above for right beam cpoints: categorical code for the total number of points on the two antlers B = one or more antlers broken staff: ager number agerdiv: ager division code, recorded through 1998 blank = Wildlife Division 1 = Forest Management 2 = Parks and Recreation 3 = Administrative Services 4 = Fisheries 5 = Law 6 = DEQ 7 = Volunteers 8 = all other DNR divisions 9 = US Fish and Wildlife Service, US Forest Service, or US Park Service 170 Appendix 2 (cont’d). station: station where deer was checked (district and management unit codes are conglomerates of all check stations within those areas) 1 = Alma highway check station 2 = Birch Run highway check station 3 = Mackinac Bridge highway check station 4 = Big Rapids highway check station 8 = ? 10 = ? 11 = District 1 12 = District 2 13 = District 3 14 = District 4 15 = District 5 16 = District 6 17 = District 7 18 = District 8 19 = District 9 20 = District 10 21 = District 11 22 = District 12 23 = District 23 25 = Marquette Office 26 = Roscommon Office 27 = ? 29 = Drummond Island 30 = Lansing Office 31 = Houghton Lake Wildlife Research Station 32 = Cusino Wildlife Research Station 33 = Rose Lake Wildlife Research Station 41 = Western UP Management Unit 42 = Eastern UP Management Unit 43 = Northeastern LP Management Unit 44 = Northwestern LP Management Unit 45 = Saginaw Bay Management Unit 46 = Southwestern LP Management Unit 47 = South Central LP Management Unit 48 = Southeastern LP Management Unit 99 = unknown remarks: date lactation status observed cspike: marked with ‘1’ if antlers were spikes < 3 inches long 171 Appendix 2 (cont’d). tb: TB status of the deer as observed by the ager, collected since 1996 + = signs of TB observed in ribcage - = no signs of TB observed in ribcage 0 = rib cage could not be examined blank = no observation made lactate: lactation status of does, collected since 1993 HM+ = hunter saw milk on the date recorded in remarks HM- = hunter looked but did not see milk on the date recorded in remarks M+ = ager saw milk on the date recorded in remarks M- = ager looked but did not see milk on the data recorded in remarks prv_pub: land type on which the deer was harvested, collected since 1998 PB = public land PT = private land Blank = unknown town and range: town and range where the deer was harvested, collected since 1998 in the UP and since 1999 in the LP section: section of township in which the deer was harvested (this data has never been collected in the general biodata) vorc: recorded at highway check stations only v = deer would be visible to an observer standing off road on the passenger’s side c = not visible from that position (concealed) season: numerically coded season variable 1 = firearm season 2 = bow season 3 = muzzleloader season sex: numerically coded sex variable 1 = male 2 = female age: numerically coded age variable 0 = 0.5 years old 1 = 1.5 years old 5 = 5.5+ years old 6 = A 7 = AA 172 Appendix 2 (cont’d). lbeam: numerical equivalent to clbeam, with B’s eliminated rbeam: numerical equivalent to crbeam, with B’s eliminated points: numerical equivalent to cpoints, with B’s eliminated date: data recorded when datasheet was complete (not date of harvest or check) avebeam: average of lbeam and rbeam mgtunit: management unit in which the deer was harvested (determined by county) 1 = Western UP 2 = Eastern UP 3 = Northwestern LP 4 = Northeastern LP 5 = Saginaw Bay 6 = Southwestern LP 7 = South Central LP 8 = Southeastern LP muregion: region in which the deer was harvested, determined by county not mgtunit so the Saginaw Bay Management Unit is split between the NLP and SLP) 1 = Upper Peninsula 2 = Northern Lower Peninsula (all counties of MU 3 and MU 4 plus Clare, Gladwin, and Arenac counties) 3 = Southern Lower Peninsula (all counties of MU 6, MU 7, and MU 8, plus Isabella, Midland, Bay, Saginaw, Tuscola, Huron, and Sanilac counties) killtype: antlered and antlerless determination 1 = Bucks = if male and not fawn, ‘A,’ or ‘AA’ 2 = Antlerless = if female and not ‘A’ or ‘AA,’ or if male fawn or male with spikes 0 = unknown = all others 173 0:.hv0:oooooccco_m2¢n0>wage—ozto—EEES enun— n 8.2 3 m: m: m: n: m— n: z 3 c: o- 2 2 a m— m: m: m: m— C 3 m- m— m: 3 N.— m_ m: Egon N wmfiflimome:N_m_owwhhhwhbhhwooeovvvcnm595— .N.NNNNNNNNNNNN6444nmmmmmmnneemeNNN588N. .w>< m an an a" nu on ma VN an «N —N ea 3 an S 2 m— 3 n— n— = c— a a h o n v n _ 0_aatn> 62 > 880 385 088883 a 8:08 8: $68 08 8:08 8: .28 580 Beam own-8.8 80 88:88 .082 .m NNNNNVNN_E__TTN-2:N_422282822882_-_-44N_N2N_NE N McNesz em on 8:28 NNNN22NENTN2N NN.NN NNNNN:2oN an:- N ea : N N «N NN N2 6 : «N 2 NM «N EN EN 4N NN oN NN 2 NM 8 2 2 8 R 2 N o. 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S o o N _ c on 0. mm N. _ m~.o+ od mNdu :mm N— j a 8 >5: 8 8 8. 88> 08%7595 .w>< 5.82 :5 0o .— 3 mu 8 _ / \ «Nd- mm 88> 088803 88088888 .Gwi .m8~0< 05 388—8..— ofi 8 888 :6 .8 580 88% 8800 305 08883 385 own-86 5 08 858809 m80=oamoboo 80 505 588 a 8 08868 8:08 08.303 8E- 175 LITERATURE CITED 176 LITERATURE CITED Bull, P. and B. Peyton. 2000. Pilot Study Report: The 1999 Michigan Deer Check Station Survey to Michigan Department of Natural Resources: Wildlife Division. 62 pages. Burgoyne, G. E. Jr. 1981. Observations on a heavily exploited deer population. Pages 403-413 in C. W. Fowler and T. D. Smith, eds. Dynamics of large mammal populations. John Wiley and Sons, New York. Coe, R. J ., R. Downing, and B. S. McGinnes. 1980. Sex and age bias in hunter-killed white-tailed deer. Journal of Wildlife Management. 44: 245-249. Eberhardt, L. 1960. Estimation of vital characteristics of Michigan deer herds. Michigan Department of Conservation, Game Division Report Number 2282. 192 pages. 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J. Ozoga. 1971. Influence of winter weather on white-tailed deer in upper Michigan. in A. O. Haugen, editor. Proceedings of Snow and Ice in Relation to Wildlife and Recreation Symposium. Iowa State University, Ames, Iowa. p. 16-28. Wackerly, D. D., W. Mendenhall, and R. L. Scheaffer. 1996. Mathematical Statistics with Applications. Wadsworth Publishing Company, Belmont, CA. 179 CHG 12 3 7111llllllllllllllllfllllll 2088 2605 930