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I..'II‘ I. ’I I "A" -II II' I'" "IIIII'I. .‘IIII I"I‘ ‘JI'H "I‘ llll mmumylgmumlmuflllulu Ill Ill NF... 3 12 I121 LIBRARY This is to certify that the thesis entitled Population Sampling and Spatial Distribution of the Immature Life Stages of the Onion Maggot, Hylemya Antigua (Meigen) presented by Raymond I. Carruthers has been accepted towards fulfillment of the requirements for Masters degree in Entomoloqy Major professor Date May 18; 1979 0-7639 OVERDUE FINES ARE 25¢ pER DAY PER ITEM Return to book drop to remove this checkout from your record. l [I [11'1"]. . ‘ . tilli.‘lllll|d|'§ll POPULATION SAMPLING AND SPATIAL DISTRIBUTION OF THE IMMATURE LIFE STAGES OF THE ONION MAGGOT, HYLEMYA ANTIQUA (MBIGEN) By Raymond I. Carruthers A Thesis Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Entomology 1979 ABSTRACT POPULATION SAMPLING AND SPATIAL DISTRIBUTION OF THE IMMATURE LIFE STAGES OF THE ONION MAGGOT, HYLEMYA ANTIQUA (MEIGEN) by Raymond I. Carruthers The onion maggot, Hylemya antiqua (Meigen) is a continuous prob- lem in onion production in northern United States and southern Canada. This study examines the spatial distribution of the immature life stages of this insect pest with the goal Of developing accurate yet economically reasonable methods Of density estimation. The spatial distribution of the immature life stages were found to be highly aggregated at various levels, from the regional distribu- tion of damage between fields down to the distributional pattern of maggots between onions. An ovipositional attraction for rotting and/or previously infested onions was found to exist, with a 20-fold increase in egg density on previously damaged onions. Regional and field level sampling techniques were developed for estimation of both onion maggot plant damage and actual age specific densities. Sample costs were evaluated for various universes of con— cern, sample sizes, and levels of precision. To my family ACKNOWLEDGEMENTS I wish to express my sincere appreciation to Dr. James E. Bath, Department Chairman, whose overwhelming enthusiasm initially attracted me to Michigan State University, and whose personal guidance has inspired me ever since. To Dr. Donald C. Cress, I extend my personal thanks for the gui- dance received at the onset of this study and wish him the best of luck with his new endeavors at Kansas State University. I especially thank Dr. Dean L. Haynes, not only for his constant support and guidance through this study as my major professor, but for the continuously stimulating experience of working with him on a daily basis. No other individual has contributed more to my education. To Dr. George w. Bird, Dr. Fred W. Stehr, and Dr. R. Lal Tummala, I would like to extend my appreciation for serving on my guidance committee and reviewing this manuscript. I wish to sincerely thank several Of my colleagues, especially Tom Ellis and Bill Ravlin, as their insight and friendship during this project was invaluable. Special thanks are extended to John Putnam (Dr. Coolie) and Mark Silliman (Dr. Labor) whose endless hours in the field made this study possible. Lastly, I would like to express my sincere gratitude and love to my wife, Diane, whose love and patience made all this possible. TABLE OF CONTENTS LIST OF TABLES . LIST OF FIGURES INTRODUCTION LITERATURE REVIEW Taxonomy , Geographic Distribution Life History , Developmental Rates Fecundity and Longevity Survival in Relation to Abiotic Factors Parasitoids and Predators Disease Rearing and Nutrition Spatial Distribution and Sampling METHODS Plant Damage Sampling , , , , , . . . Regional Plant Damage Sampling _ , , Field Level Plant Damage Sampling Within Field Sampling for Age Specific Onion Ovipositional Behavior 0 C O O O O O O 0 RESULTS AND DISCUSSION Spatial Patterns , , , , , , , , , , , , Statistical Distributions Nearest Neighbor Analysis , , , , , Specific Spatial Pattern Studies Pupal Distribution in Muck Soil Maggot Density. Seasonal Distribution of Onion Maggots Ovipositional Preference , , , , Distribution of Initial Attack , iv vi ix \OKDGJQQQUILD-bb [.0 O 11 11 11 15 17 21 23 23 23 41 42 42 47 47 53 TABLE OF CONTENTS (Continued) Plant Damage Sampling . Regional Plant Damage Sampling Field Level Plant Damage Sampling . Within Field Sampling for Age Specific Density Biological Monitoring . SUMMARY . . . . APPENDICES Appendix A: Appendix B: Appendix C: Appendix D: Appendix E: Appendix F: LITERATURE CITED Temporal Distribution . Onion Maggot Damage . Regional Plant Damage Sample Data Mass Rearing Technique Age Specific Sample Data Ovipositional Behavior Data . 57 57 75 80 103 111 113 125 150 159 161 191 193 10. 11. 12. 13. 14. LIST OF TABLES Sampling phenology for regional plant damage assessment . . . . . . . . . . . . . . . . . . . . . . . Predicted adult and larval density peaks for Grant, Michigan in 1976 and 1977 . . . . . . . . . . . . . . . Pit of the negative binomial distribution to observed field level plant damage sampling data . . . . . . . . . Fit of the negative binomial distribution to observed within field plant damage sampling data . . . . . . . . Fit of the negative binomial distribution to actual onion maggot counts within areas of damaged onions with application of a common K . . . . . . . . . . . . . . . Nearest neighbor analysis for within clump plant damage 0 O O O O O I O O O O O C O O O O O O O O O O O 0 Observed horizontal pupal distribution as compared with a poisson distribution . . . . . . . . . . . . . . Observed number of onion maggots per infested bulb in Grant, Michigan test field . . . . . . . . . . . . . Analysis of variance table for total eggs and larvae by onion type and condition . . . . . . . . . . . . . . Cell statistics for ovipositional preference ANOVA experiment I O O C O O O O O O O O I O I O C O I C O O 0 Runs test for distance between initial plant damage and clump centroids . . . . . . . . . . . . . . . . . . Within and between mean square for four onion regions and two sampling periods calculated using a one-way AN OVA 0 O O O O O O O O O O O O O C O C O O O O O O O 0 Regression statistics for within and between field mean squares for regional plant damage data . . . . . . Regression statistics for within and between field mean squares for regional plant damage data . . . . . . vi 14 16 26 28 38 43 44 48 50 52 56 58 61 61 LIST OF TABLES (continued) 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. Within field variance to mean relationship as estimated by log variance—log mean regression for various sample unit sizes . . . . . . . . . . . . . . Regression statistics for sampling time versus plant damage density . . . . . . . . . . . . . . . . . . . Field level variance to mean relationships as esti— mated by a log variance-log mean regression for various sample unit sizes . . . . . . . . . . . . . Optimum sample unit size as predicted by Equation 19 for various densities and levels of precision . . Summary for the 100 foot plant damage samples taken throughout the 1977 growing season in Grant, Michigan 1977 data collection summary for strata 2-5 in the Grant test field O O O O O O O O O O O O O I O O O 0 Means and multiple range tests for each life stage by strata (l-S) calculated from data pooled across the entire growing season . . . . . . . . . . . . . . . . Analysis of variance table for third instar larvae by clmp arid Strata O O O O O O O O C O C O O O O O C 0 Regression equation for mean-variance relationship by life stage for each stratum . . . . . . . . . . . Comparison of sampling methods for third instar larvae in Strata 1-5 0 o o o o o o o o o o o o o o 0 Comparison of sampling methods for total immature population in strata 1-5 . . . . . . . . . . . . . . Comparison of sampling methods for third instar larvae in Strata 2-5 0 o o o o o o o o o o o o o o 0 Comparison of sampling methods for total immature population in strata 2-5 . . . . . . . . . . . . . . Developmental base temperatures for third instar larvae and pupae of the onion maggot . . . . . . . . Mean degree-day requirements for various life stages of the onion maggot . . . . . . . . . . . . . vii 68 71 78 78 81 82 87 9O 93 94 96 99 101 118 119 LIST OF TABLES (continued) A-3. Average degree-day accumulation for adult onion maggot activity peaks . . . . . . . . . . . . . . . . . . 122 8-1. T-tests comparing population density in the within field plant damage plots . . . . . . . . . . . . . . . . 131 3-2. T-tests comparing soil parameters of the within field plant damage plots . . . . . . . . . . . . . . . . 131 8-3. Kruskal-Wallis one-way ANOVA for onion maggot plant damage by soil type . . . . . . . . . . . . . . . . . . . 134 B-4. Ordering of ranks by soil type for the ANOVA of Table B-3 0 o o o o o a o o o o o o o o o o o o o o o o o 135 viii LIST OF FIGURES 1. Michigan map with regional sampling areas indicated 0 O O O O O O O O O O O O O O O O O O O 2. Onion fields sampled in 1976 and 1977 in Grant, MiChigan O O O O O I O O O O O O O O O O O O O O 3. Negative binomial parameter k as a function of the sample mean (100 ft. plant damage samples) . 4. Negative binomial parameter k as a function of the sample mean (1 meter plant damage samples) . 5. Negative binomial parameter k as a function of the sample mean for the total immature population per onion within areas of damage . . . . . . . . 6. Horizontal distribution of onion maggot pupae in muck soil from onion source . . . . . . . . . . . 7. Vertical distribution of onion maggot pupae in muck soil from onion source . . . . . . . . . . . 8. Relationship between the mean number of onion maggots per bulb and the volume of the onion bulb 9. Plot of treatment means for ovipositional at— traction experiment . . . . . . . . . . . . . . . 10. Mean square to mean relationship for within and between field components of the regional sampling data 0 O O O O O O O O O O O O O O O O I O I O O 11. Regional sampling precision plotted as a function of sample unit size . . . . . . . . . . . . . . . 12. Sampling cost in minutes as a function of plant damage density . . . . . . . . . . . . . . . . . 12 18 36 36 39 45 46 49 51 6O 69 70 13-14. Necessary subsamples per field for various densities sample unit sizes, region Sizes, and levels of pre- cision (regional sampling) . . . . . . . . . . . . . ix LIST OF FIGURES (continued) 15-16. Sample cost in minutes for various densities, sample unit sizes, region size, and levels of precision (regional sampling) . . . . . . . . . . . . . 73 l7-20. Necessary number of subsamples per field to achieve specified levels of precision at given densities and region size (regional sampling) . . . . . 74 21-22. Necessary samples per field for various densities, sample unit sizes, and levels of precision (field level smpling) O I O O O I O O O O O O O O O O O O O 0 77 23-24. Sample cost in minutes for field level sampling . . . . 77 2S. Variance to mean relationship of eggs, and first and second instars in onion strata 2 and 3 . . . . . . 92 26. Pupal and total population plotted for the 1977 growing season . . . . . . . . . . . . . . . . . . . . 104 27. Contour map of onion maggot plant damage in Grant, Michigan 1976 . . . . . . . . . . . . . . . . . 107 28. Contour map of onion maggot plant damage in Grant, Michigan 1977 . . . . . . . . . . . . . . . . 108 A-l. Regression method for determination of develop- mental base temperature for third instar larvae . . . . llS A-2. Standard error method for determination of developmental base temperature for second and third instar larvae . . . . . . . . . . . . . . . . . . 117 A-3. Mean adult trap catch and weighted mean instar plotted against julian days for 1977 in Grant, Michigan . . . . . . . . . . . . . . . . . . . . . . . 121 A-4. Mean adult trap catch and weighted mean instar plotted against degree days for 1977 in Grant, Michigan . . . . . . . . . . . . . . . . . . . . . . . 122 B—l. Onion fields sampled in 1976 and 1977 in Grant, Michigan . . . . . . . . . . . . . . . . . . . . . . . 128 INTRODUCTION The onion maggot, gylemya antiqua (Meigen), is one of Michigan's most economically devastating vegetable insect pests. Mr. William Riley, Chairman of the Michigan Onion Growers Research Committee has stated that the onion maggot is the number one problem in the production of Michigan onions. Unchecked, each onion maggot larva can destroy up to 28 onion seedlings in the loop stage (Workman 1958). With adult females producing as many as 250 eggs (McLeod 1965), dam— age potentials can be extremely high (7,000 onions per female). Perron et al. (1955) cites crop damage as ranging from 10 to 85 per- cent depending on the population density. Direct physical damage such as this, coupled with the fact that the onion maggot is a known vector of Ervinia carotovora (Jones) (Gorlenko et al. 1956), a soft rot bacterium, causes onion growers to exert much time, effort, and money towards its control. Current control strategies consist of a granular soil insecti- cide at planting and directed foliar sprays for control of the adult flies. Michigan recommendations (Cress et a1. 1976) call for a 3-day minimum between foliar applications. Several commercial acreages are now approaching that rate of application. However, the intense use of chemical control has caused severe problems in the onion-pest- crop ecosystem. During the late 1950's and early 1960's, field studies indicated a high level of onion maggot resistance to cyclodiene insecticides throughout its North American and European distributions (Brown 1971, Gostick et al. 1971, Harris and Svec 1976, and Hennequin 1970). Chapman (1960) states that conditions for the selection of onion maggot resistance are ideal under commercial field conditions, i.e., the onion maggot is confined to one primary host plant which is uni- versally protected with a single type of insecticide over very large areas. Harris and Svec (1976) state that high levels of cyclodiene resistance developed quite rapidly after the initial indication that resistance was present. Resistance was first noted in Michigan during 1958 (Guyer and Wells 1959) and a major effort was made to shift away from the cyclodiene insecticides to the organophosphate group which immediately was used to control the maggot. The organophosphates have been used intensively since the early 1960's with a gradual decrease in their effectiveness. Harris and Svec (1976) attribute this decline in effectiveness to low level re- sistance. In testing several onion maggot population strains over the past 12 years for tolerance levels to various insecticides, two Michigan strains (Gun Marsh and Grant) were found to have significant increases in their level of parathion tolerance (2.8x and 5.1x, respectively). The Grant strain was found to have the highest level of resistance. This coincides with field observations, as Michigan's most severe onion maggot damage has been in the Grant area. Resis- tance levels found throughout the tested strains are considered low level, but highly significant. Brown (1971) points out that organo- phosphate resistance develops slowly, usually requiring three develop- mental stages: 1) the development of a latent period involving many generations of selection, 2) the development of a polyfactorial sys- tem leading to low level nonspecific resistance, and 3) the develop— ment of a monofactorial system leading to higher levels of specific resistance. Harris and Svec (1976) feel that the onion maggot is closely following the pattern described by Brown. Many growers are still increasing their insecticidal application rates and application frequencies with little increased control. The future of the existing onion maggot control program is ques- tionable. Other alternatives must be explored and viable means must be adopted to integrate alternate control procedures into commerCial operations. Such alternatives can only be designed when adequate biological information concerning the system dynamics is known. Basic to population dynamics research and certainly to applied pest management is the ability to estimate actual insect densities and their effects in terms of host plant damage. Methods for such estimates are presently lacking for the onion system; it is the goal of this report to develop methods by which both plant damage densities and actual insect densities per life stage can be estimated for future research and pest management goals. LITERATURE REVIEW The literature concerning gylemya antiqua (Meig.) is quite volu- minous with the majority being insecticide oriented and of little value in the accumulation of biological information. Scott (1969) assembled an extensive bibliography for g, antiqua covering the majority of the published material with the exception of taxonomic citations and actual spray calendars. Several authors (Doane 1953, Tozloski 1954, Workman 1958, Elling- ton 1963, and Loosjes 1976) have reviewed and collated much of the \ important biological literature concerning g, antiqua. The material presented in the following review is a resume of previous investiga- tions that lend pertinent information in the areas of taxonomy, geo- graphic distribution, life history, developmental rates, fecundity and longevity, survival, parasitoids and predators, diseases, rearing and nutrition, and spatial distribution and sampling. Taxonomy The taxonomic history is given by numerous authors. Most re- cently descriptions have been given by Huckett (1924), Doane (1953), Tozloski (1954), and Workman (1958). Keys that are useful in species identification have been compiled by Brooks (1951), Doane (1953), and Huckett (1971). Geographic Distribution A distributional map with a list of the areas inhabited by g. antigua was published by the Review of Applied Entomology (Distribu- tion Maps of Insect Pests, Series A, Map No. 75, issued June 1977). Ellington (1963) gives a brief update of the fly’s distribution in Europe. Life History In Michigan there are typically three distinct generations per year which overlap somewhat due to the longevity of the adult flies. The adults emerge from overwintering pupae in late April or early May. The exact date and length of the emergence period is dependent on temperature and depth of the overwintering pupae in the soil. As the soil profile warms, the pupae break diapause with the pupae closest to the surface emerging first. Developmental zero for the diapaused pupae is close to 40°F (Eckenrode, Ven and Stone 1975). Newly emerged adults are soft-bodied and require a day to dry and harden. At this time the fly emigrates to field borders and feeds on pollen from wild flowers and other weeds. The preovipositional period lasts about 10 days, varying slightly with micro-climatic fluctuations (Theunissen 1976). When gravid females move back into the onion field, they lay their eggs on the surface of the soil around the base of the plant in the leaf axils. After ecolosion the newly hatched first instar larvae move into the base of the onion bulb and feed, quickly disrupting the plant's vascular system which then shows signs of acute water stress. Lesions then open on the bulb surface which allows an invasion of microorganisms, primarily soft rot bacteria such as Erwinia corotovora (Jones). The microorganism development increases the rate of tissue degeneration within the onion and produces symptomatic damage. (Doane (1953) gives an indepth description of the onion maggot soft rot dam- age symptoms.) Onion damage is first characterized by flacid leaves, followed by leaf tip yellowing, and then complete foliage dehydration. With prolonged damage the bulb is completely consumed by the onion maggot soft rot attack, leaving only the desiccated leaf tissue and the outer bulb sheath. At this point the maggot moves into the soil and pupates or migrates to succeeding onions until development is completed (Workman 1958). Kendall (1932) reported that 96.6% of second generation flies reinfest previously infested onions. In the early part of the growing season, one maggot may consume numerous seedlings, resulting in a high rate of plant damage and mor- tality. As the season progresses and bulb size increases, one onion will support many more maggots, resulting in a doming of the damage curve (Loosjes 1976). Many traditional sampling schemes fail to deal with this functional shift; therefore, population estimates (adults and larvae) are often erroneously equated with damage predictions which often results in unnecessary spray applications. Pupating third instar larvae migrate from the onion plant to the soil where the puparium is formed. The non-diapausing pupal stage lasts about 13 days before the following generation adults emerge. The newly emerged adults of the second and third generations follow the same developmental pattern as the first. A small percentage of the second generation pupae and a high percentage of the third enter diapause (LaFrance and Perron 1959). Diapause is induced by the exposure of the late developing third instars and early pupae to low temperatures and a shortened photoperiod (Theunissen 1976). Developmental Rates Numerous observations concerning developmental rates have been made under a variety of laboratory and field conditions. Ellington (1963) reviewed the literature concerning this area and tabulated the results. Finding the existing data inconsistent, Ellington conducted laboratory experiments to define the developmental rates for eggs, larvae and pupae at various constant temperatures. Ellington's findings as well as other developmental data are discussed further in Appendix A. Fecundity and Longevity The ovaries of g. antiqua are meroistic polytrophic which results in a cyclic ovipositional activity (Missonnier and Stengel 1966). Due to the gravid female‘s ability to oviposit over an extended period of time, laboratory fecundity and survival studies have proven unre- liable in the field. The variability of experimental results suggests a great need for additional field experimentation in this area. Survival in Relation to Abiotic Factors Ellington (1963) discusses egg, larval and pupal survival under a variety of temperature and relative humidity regimes in the labora- tory. A review of the literature reveals the lack of completed work associating abiotic field conditions (temperature, relative humidity, soil moisture, etc.) with onion maggot survival. Although qualitative assessments linking these phenomena have been noted, no attempt has been made to quantify them. Workman (1958) qualitatively split soil moisture into three arbitrary classes (saturated, moist and dry) for greenhouse experiments. Data of this type is quite common, but is of little value for estimating actual field survival rates. Using the work of Ellington (1963) and others (Sleesman 1936, Doane 1953, Gray 1924, and Workman 1958) high moisture situations seem to increase the survival of egg and larval stages. Parasitoids and Predators Perron (1972) discusses several parasitoids and predators that were present in non—pesticided organic soil plots in the Ste. Clotilde region of Quebec (1951—1966). A staphylinid beetle, Aleochara bilin- gatg_(Gyllo), was most effective. A, bilineata as a larval parasitoid is capable of destroying 20% of the overwintering pupae (Perron 1972). It becomes a predator as an adult. A braconid wasp, Asphaereta pal- lipg§_(Say), was listed as the second most effective parasitoid, capable of destroying 12% of the overwintering pupae (Perron 1972). Several other parasitoids and predators were listed with a short evaluation of each. Ritcey (personnal communication, University of Guelph) stated that less than 10 parasitized individuals were observed from;the thousands of field-collected pupae in Ontario commercial production areas. It is believed that heavy pesticide usage (soil treatment at planting and weekly foliar applications) has effectively eliminated the natural enemy complex of the onion maggot from these areas. Disease Entomophthora muscae (Cohn) has been identified as a naturally occuring fungal pathogen of g, antiqua (Perron and Crete 1960, Krammer 1971, and Miller and McCallahan 1959). Perron and Crete (1960) cited E, muscae as the key factor suppressing outbreak levels of the onion maggot in Quebec. Infected flies could fly, mate and oviposit but at highly reduced rates. MacLeod et al. (1976) summarized Entomophthora species with muscae-like conidia; life histories, species identifica- tion, and a thorough bibliography are included. Rearing and Nutrition Rearing and nutritional information concerning g, antigua has been researched and well documented. Mass rearing programs have been carried out by several workers (Rawlings 1953, Perron et a1. 1951, Friend and Patton 1956, WOrkman 1958, Elmosa 1960, and Niemczyk 1964). Niemczyk (1964) developed a rearing technique for implementation at the Agriculture Canada, Entomology Laboratory, London, Ontario where modifications have been made to increase production levels and efficiency. These implementations increased the facility's rearing capabilities to 2,000,000 flies per month (Harris personal communication 1976) and are used for rearing laboratory colonies at Michigan State University (Appendix D). Friend et al. (1956 and 1957) defined complete nutritional infor- mation, including amino acid and vitamin requirements. Additional information concerning the accelerated development of g, antiqua, in the presence of microorganisms, has also been documented by Friend et al. (1959). 10 Spatial Distribution and Sampling Even though little has been published quantifying g. antiqua's spatial distribution in North America, numerous qualitative descrip- tions are found in the literature (Perron et al. 1955, Workman 1958, and Rawlins et al. 1960). These papers describe the maggot population as being distributed within and between fields in a clumped or an ag- gregated manner. In agreement with these findings, Loosjes (1976) examined various sets of sampling data from the Netherlands and cites the distribution as highly aggregate within fields. Aggregation, or the tendency to be found in groups, causes signif- icant increases in sample variation when compared with a randomly dispersed population (Taylor 1961, Southwood 1966, Pielou 1977, and Elliott 1977). This increase necessitates a larger sample size (n) to be collected for estimation of the population density given a fixed level of precision. As sample costs can be expensive, several alternate methods of sampling (simple, multistage, stratified, etc.) have been used to reduce the sample variance, and thus the sample size (n) (Cochran 1963, and Jessen 1978). Southwood (1966) and Elliott (1977) give excellent reviews of statistical sampling theory as it applies to sampling insect populations. Southwood also includes descriptions of several sampling methods and their uses. Several other authors have given excellent reviews of sampling theory and sampling methods associated with a wide variety of insect populations. Some of the most helpful publications are: Bliss (1967), Lewis (1973), Morris (1955 and 1960), Ruesink and Haynes (1973), and Taylor (1961). METHODS Plant Damage Sampling Characteristic plant damage symptoms associated with onion maggot attack are easily noted in the field and are very useful for monitoring plant damage spatial patterns and plant damage densities. Plant damage sampling was conducted at both the field and regional level to gain insight into the mode, distribution and intensity of onion maggot attack. Regional Plant Damage Sampling: To examine the spatial patterns of onion maggot damage and the feasibility of developing a regional sampling program for plant dam- age assessment, an intensive sampling scheme was set up to explore the allocation of regional variation in plant damage for various densities and sample unit sizes. Pest management field assistants, trained to recognize onion maggot damage symptoms, collected the sample data. Visually unbiased sample locations were selected by throwing an object into the onion field and using its landing point as the start of a sample unit. The field assistants paced along a 100 foot sample strip and recorded the number of damaged onion plants and their respective locations by one foot increments. This sampling procedure was repeated 10 times per sampled onion field. Four major onion producing regions (Figure 1) were monitored four times throughout the growing season. The first sampling period 11 12 L L 1. Bravo - Allegan Co. 2. Grant - Newaygo Co. 2 3. Imlay City - Lapeer Co. -1—~ 3 4. Eaton Rapids - Eaton Co. I 1 Marshall - Jackson Co. ' ' 7 ' Stockbridge - Ingham Co. 1 I '4 III - o . JJlll L——-—-‘—_.J L miles FIGURE 1. Michigan map with regional sampling areas indicated. 13 coincided with initial spring damage and was designed to gather data on the patterns of initial attack and the viability of the techniques associated with the sampling program itself. For this sampling period, field assistants were instructed to sample only one or two fields with known onion maggot damage and report any difficulties that arose during the procedure. The remaining three sample periods were planned to coincide with estimates of peak larval damage of the first, second, and third generations. Degree-day estimates were made using both previous trapping data and individual degree-day requirements of each life stage. These degree-day estimates (see Appendix A) were tracked in an on-line mode by PETE (Predictive Extension Timing Estimator) (Welch et a1. 1972) throughout the four onion producing regions sampled. Automatically generated messages were sent to the respective field assistants via PMEX (Pest Management EXecutive system) (Croft et a1. 1976) as their regional sampling dates approached. Sampling dates were estimated one and two weeks in advance to allow the field assistants to allocate specific time intervals for an intensive sam- pling period. Table 1 summarizes the phenology and amount of monitoring executed during each of the four sampling periods. Three of the four planned sampling periods were executed as designated. The final sampling period was cancelled because visual discrimination between infested and healthy plants became difficult as nonmal foliage die-back masked the onion maggot damage symptoms. Appendix C lists the sampling data for each region and sampling period. These data are listed by the foot as it was collected by the field assistants. l4 mmmud Ham I pwaamocmu xmmm newumuocoo phase EmnmcH I ma om\> I ©\h coumm I GOmeMh 0H mm\s I maxs suflo smaaH s om\n I vH\h ucmuo v >\n o>mum xmmm :ofiumuocmw pcoomm EmcmcH I ma 0H\o I o\o scumm I comeMh OH naxo I Hm\m sumo smHeH o h\o I m\@ ucmnu o «\m I om\m o>wum xmmm coflumumcwo umufim canoe—H I H oN\m coumm I comxomn m >H\m suflo smHsH H hH\m ucmuw m ma\m o>mum mHmEMm >Hmcflefiamum omamzdm moamHm mmmSDZ mmedo wszOBHZOz 20Humm DOHmmm OZHAmzdm .ucwEmmwmmm momEdp ucmHm Hmcoflmwu MOM >goHocw£m mafiamemm .H mqmde 15 Thirty six different onion fields were monitored during the 1977 growing season and of those 36, only 18 information data sheets were completed and returned by the growers. Supplementary information con- cerning planting rate, planting configuration, seeding date, surround- ing crops, insecticides used at planting, acreage and geographical location was collected for each field. Field Level Plant Damage Sampling: Field level plant damage was monitored annually in a muck vege- table producing area near Grant, Michigan. The annual sampling periods were planned to coincide with peak second generation larval damage since the cumulative onion damage curve normally approaches its maxi- mum yearly value (Loosjes 1976) and onion maggot plant damage symptoms are most easily identified during the mid summer months when water stress is normally high. Adult flight activity was monitored throughout the growing season and was used as a timing indicator of second generation emergence. Degree-day estimates of second generation peak damage were calculated using the peak second generation adult trap catch as a baseline to which the mean physiological time (600 degree-days, base 39) necessary for third instar development was added (see Appendix A). Degree-day accumulations were monitored on-line via PMEX (Croft et a1. 1976) and sampling dates were set as the actual accumulations approached the estimated plant damage peak. The estimated adult activity peaks and the actual sampling times (predicted peak damage) for the Grant area are listed in Table 2 by date and degree days. 16 TABLE 2. Predicted adult and larval density peaks for Grant, Michigan in 1976 and 1977. Estimated Adult Activity Peak Actual Sampling Time DATE DEGREE-DAYS DATE DEGREE-DAYS 7/14 1976 7/15 1977 1950 2360 8/3 2550 1976 8/4 2970 1977 17 The number of damaged and healthy onion plants was recorded for 50 one-meter samples per field; data on field locations, on surround- ing crops, and on several other specific observations (i.e., plant disease occurrence, special soil conditions, heavy wind damage, etc.) was also recorded. Twenty three onion fields in 1976 and 17 onion fields in 1977 were sampled. The resulting data is listed in Appendix B along with an analysis of the effect of soil calcification on onion maggot dam- age. Field locations varied between years (Figure 2) as rotation with either carrots, celery, or a cover crop was common. In both seasons, the sampling was completed in approximately 24 man hours, including the time spent within fields and the time spent moving be- tween fields. Within Field Sampling for Age Specific Onion Maggot Density_ Onion maggots are typically characterized as occurring in an aggregated pattern within and between fields (Loosjes 1976). Aggre- gation causes significant increases in sample variation; thus, a larger sample size (n) must be collected for precise estimation of population density. For estimation of age specific densities, simple random sampling is impractical, because the cost of data collection is extremely high. Individual onions must be pulled and dissected; the surrounding soil must be sifted; and the immature stages of the attacking insects must be identified, counted and recorded. There- fore, the processing cost per onion is quite expensive, and an effi- cient sampling strategy must avoid large sample sizes. 18 .:mmfinofl: .ucmuo as spas 6cm ohms as cmfimemm mnamgw :ofico .N MMDOHm mN mN 5N 0N mN vN MN NN MN NN HN ON ma ma ha 0H ma va MH whoa mhma ON ha 0H VA NH HH OH O‘ r-iN Fit-0 HNMVU‘IVDI‘CDO‘S BmHEEmm museum 19 The necessity to make age specific density estimates requires that an alternate sampling strategy be researched, with the goal of minimizing the necessary resources while providing a reasonable level of precision. Many sampling techniques including sample frame selec- tion, stratified random sampling, and cluster sampling produce signif- icant gains in overall precision and sample costs, if the proper re- lationships exist in the population under investigation (Cochran 1963, and Jessen 1978). Sawyer and Haynes (1978) have utilized stratified random sampling to optimize efficiency in estimating the density of the cereal leaf beetle, Oulema melanopus (L.), in five distinct habitats, as the per unit area means and the relative habitat sizes were of significant difference. Two classes or strata of onions (visually healthy and visually damaged) have already been mentioned; obvious differences are readily notable in the population parameters (u and 52) that lead to the use of stratified random sampling. To better examine the habitat struc- ture each group was subdivided. Under the visually healthy class is, 1) onions which are one or more feet removed from damaged plants, and 2) onions which are within a damage clump or less than one foot re- moved. Under the visually damaged class is, 3) onions exhibiting typical signs of onion maggot damage (flacid and slightly yellowed leaves), 4) onions showing signs of severe degradation from onion maggot attack (leaves highly dehydrated, yellowing over 75% and typ- ically decomposing with a soft rot bacteria), and 5) onions missing (assessed only if within an area of apparent onion maggot damage). 20 Periodic sampling throughout the 1977 growing season was essen- tially three-part. First, a plant damage survey, as described in the preceeding within field sampling section, was conducted to estimate the frequency of damage within the test field. Second, one hundred visually healthy onions were selected from the field and visually examined for signs of any onion maggot life stage. These onions were not removed from the soil, but the onion-soil interface and the leaf axiles were closely examined for egg deposition and sites of possible larval feeding. The third, and largest portion of the sample, con- sisted of grading and monitoring onions within damageclumps. Indi- vidual onions within a damaged area were numbered and then visually graded as to classes (described above). The spatial location of each onion plant in a clump was recorded using a two dimensional (x,y) coordinate system; (o,o) was set at the northwestern most onion in the clump. The onions were then removed from the soil and on site dissections were made whenever possible; when not possible, the onions were transported, individually packaged, to the laboratory where they were held at 40°F until they could be processed for deter- mination of the number and life stage of the specimens within. The soil beneath each plant was sifted on site with both the number of viable and previously emerged pupae recorded. The pupae were returned to the laboratory where they were allowed to emerge for purposes of identification and parasitoid detection. This process was typically repeated in several independent clumps of damage to provide an esti- mate of within and between clump variation. 21 Ovipositional Behavior A study investigating the site selection of the onion maggot was initiated in 1976 in a heavily infested commercial onion field in Grant, Michigan. This experiment was designed to test the ovipositional preferences of the gravid onion maggot female. Observational biology and the literature (Kendall 1932) suggest that the gravid female favored a combination of rotting and/or previously infested onions for oviposition. A three-way factorial design was utilized within the field (bulb type, bulb condition, and bulb location). The treatments consisted of: l) Immature bulbs (small green bulbs, 3/4" in diameter), Mature bulbs (large green bulbs, 2 3/4" to 3" in diameter), and Mature and Dry bulbs (large dry bulbs, 2 3/4" to 3" in diameter): 2) Rotting (R), Rotting and Infested bulbs (R + I), and Normal bulbs (N) (each R + I onion was preinfested with 3rd instar maggots): and 3) and area outside of, but along the periphery of field (A), and area within the three bor- dering rows of field (B), and an area in the geographic middle of field (C). The onions were placed in flats containing 3 inches of muck and were assigned random locations in their respective areas (A, B, or C). The flats were left in these locations for eight days. It was believed that this was enough time to obtain sufficient oviposition without severe alteration of the treatments. 22 At the end of the eight day period the flats were removed from the field. Dissections were performed to determine the presence of new larvae and eggs. The implanted 3rd instar larvae were in pupal or pre- pupal form and were easily distinguished from the newly attacking larvae. RESULTS AND DISCUSSION Spatial Patterns The study of spatial patterns of insect pests is an interesting aid in the handling of data for statistical analysis, and in gaining an understanding of the underlying biology which creates such patterns. An understanding of these factors enhances our ability as managers to manipulate pest populations within a cropping system. Onion maggot damage is frequently cited as being dispersed in a clumped or aggregated manner (Kendall 1932, Perron et a1. 1955, Work- man 1958, Rawlins et a1. 1960, and Loosjes 1976). These observations were mainly qualitative assessments of plant damage, with the excep- tion of Loosjes who used quantitative techniques to evaluate within field onion maggot damage patterns in the Netherlands. To further quantify the spatial configuration of the onion mag- got, its associated plant damage and the underlying biology, the following analysis utilizes descriptive, analytical, and experimental techniques. Statistical Distributions: The plant damage data and the actual onion maggot counts per onion have been examined for conformity, or fit, to theoretical prob- ability density functions. The observed populations are known to be contagious (s2 > E), thus the negative binomial distribution (NBD) 23 24 was used as the primary model. At extremely low density levels, the expected model was altered to the poisson, as it has long been con- sidered the "rare events" distribution by statisticians (Steel and Torrie 1960). The fit of the NBD to the observed data sets was evaluated using the procedures outlined by Elliott (1977). Initial estimates of the NBD parameter K were calculated using the moment estimation method (Equation 1) fi = -7'——*' (1) and refined by the iterative maximum likelihood estimator (Equation 2) N . 1n (1 + £) =1§ (AA(")) (2) K x-o K + x Where: N = total number of samples x = frequency class A(x) = total number of counts exceeding x m = total number of frequency classes Given K, the expected NBD frequencies were calculated from equa- tions 3 and 4 then tested against the observed frequencies with a chi- square goodness of fit test. -K NC) = (1 +1?) (3) _ K + (x - 1) i _ P(x) — ( x ) (—-———}_c + KI P(x 1) (4) In the case of the poisson distribution, the expected frequencies were calculated from Equation 5, also being tested against the observed data P(x) = e' -—-— (5) with a chi-square goodness of fit test. 25 When arbitrary physical units are used to sample in a continuous universe, as is the case with the plant damage samples, the NBD param- eter K has no absolute biological significance. The value of K, as with many other measures of aggregation, differs with changing sample unit sizes. Although no absolute biological meaning can be related to these values, they are measures of aggregation within a single sampling scheme and should only be used to evaluate the deviation from the random within fixed sampling techniques. Actual onion maggot counts are also examined on a per onion basis within clumps of visual damage. The sample unit (the onion) is considered a discrete unit of habitat, thus a standard from which ag- gregation can be measured. Field level aggregation (clumping between fields within a region) was evaluated using plant damage data sets (III A - 1 + 2) and fre- quency distributions generated from subsamples pooled on a field basis for each region and sampling period. The results are presented as Table 3. The field level analysis clearly shows the high aggregation noted between fields. Seven of the eight regional data sets fit the NBD with the eighth set fitting a poisson distribution due to low dam- age levels (only 1 damaged onion in 15 fields was observed). The two year analysis from Grant revealed that both data sets easily fit the NBD. Evaluation of the variance in the parameter K over the range of sample means indicates that no common clustering is found at the field level. (Further explanation of a common K will be discussed as it relates to within field analysis.) The lack of a common K or aggre— gation coefficient is easily understood, particularly at the field 26 omz mmm.m m Hmv.o mo.HooH mm.om “mums H AH ucmuo asum omz osm.s OH ovv.H va.omm mo.sH umume H mm ucmuo onum 20mmHom 8 noo.o 560.0 .OOH mH sucsooIHue snub omz Hmm.H v mmH.o mn.Homm o~.Hm .ooH 0H Homqu sens omz 0mm.m H mNH.o om.mmm~ om.~m .OOH a o>mum nsIn omz 0Hm.m m omo.o mm~.sv Hem.m .OOH a ucmuo as-» omz smo.m m onm.o oo.vm ov.v .OOH MH sucsooIHue heuo omz oov.H o ooH.o os.~mvm mH.hm .00H m “magma snuo omz mHH.~ m omm.o oo.msMH oo.mm .00H 6 o>mum ssum omz oov.v m mmm.o he.mmm mm.VH .00H 6 ucmuo nsIm mNHm maqum smHo «x on s Nm m eHza mo ammo mean mqmzmm mmmzoz .mmHmEmm “mums H can poem OOH How mumo mafiamEMm Ho>wH onwm oo>uomoo on» on COAusQfiuumflo Hafisocwn o>wummmc on» no uflm .m mqmda 27 level. Many variable factors, natural and man manipulated, cause great environmental variability between fields (i.e., moisture levels, insecticide types, insecticide rates, planting configurations, etc.), resulting in extreme variability in the observed spatial pattern (thus the variability in the parameter K). Within field aggregation was examined using the same data sets, only each field was analyzed separately based on the subsamples taken within fields (regional data 10-100 foot samples per field, Grant data 50-1 meter samples per field). Table 4 presents the results of this analysis for both data sets. Sixty nine fields from the regional data set were independently analyzed; 39 recorded no detectable damage, four recorded only one observation (determining poisson), and 26 re— corded multiple data observations each of which was successfully fit to the NBD. Of the 40 fields examined in Grant, six had no detectable damage, eight had observations of 0 and l, and 26 had multiple fre- quency classes, all of which were fit with the NBD. Examinations within each of these data sets for a common K or common aggregation pattern is again of interest. Figures 3 and 4 show the inverse of the parameter K plotted against the mean for the regional data set and the Grant data set, respectively. Elliott (1977) states, the calculation of a common K is not applicable if there is a relationship between l/K and the sample mean or if widespread scattering of the data is prevalent. In both cases no significant linear trend can be found, but the wide scatter between the points makes the use of a common K inappropriate. 28 I I I I O O omz OmH.N m th.m hOO.H m.O .OOH OH o>mum thO omz hO0.0 m mHhH.O NNH.> m.H ZOmmHOm I I 8 OOH.O H.o omz HO.N m vOO0.0 ovo.OH O.N omz mm.h m mO0.0 NNH.HmN m.vH omz Hm.v v OHmm.O NNH.OO h.v I I I I O O I I I I O O I I I I O O I I I I o o .ooH 0H ummmmq snIo MNHm OHmHm amHo «x mm x «m m 9H2: mum ammm memo mmqmzflm mmMZDz .mmHmEMm umumE H can UOOM OOH How mcoHuanHumHO OCHHQEMm OHon cHnuH3 Ow>ummoo on» Ca coHuooHuumHo HMHEocHn m>Hummwc osu mo uHm .v Mammy 29 002 HH.0 H 0000.0 000.0 0.0 002 H0.0 0 0000.0 HH0.0 0.0 002 00.H H 0000.0 000.0 0.0 00:000I009 002 HH.0 H 000H.0 000.H 0.0 002 0H.H H 0000.0 000.0 0.0 002 0H.H 0 H000.0 000.0 0.0 002 00.0 0 0000.0 000.00 0.0 002 H0.0 0 0000.0 000.H 0.0 I I I I 0 0 .00H 0H 00000 00I0 002 00.0 0 0HH0.H 000.00 000.0 002 HH.0 0 0000.0 000.00 0.0 002 H0.0 0 0HH0.0 000.00H 0.0 .00H 0H o>000 00I0 0000 00000 0000 02 00 2 00 m 0020 000 0000 0000 000200 0000200 HomncHucoov .v mqmda 29.1 I I I I 0 0 .00H 0H 000000 00I0 I I I I 0 0 sz mm.N m mmN.o HHHb.O v.0 002 H0.0 0 000.0 0.HH 0.H .00H 0H 0ucnooIHue 00I0 MNHw QHMHm BmHD «x ho M m x BHZb mmm 000 002 00.0 0 0000.0 0000.0H 0.0 2000000 I I 8 000H.0 0.0 002 00.0 0 0000.0 0000.0 0.H 002 00.0 0 0000.0 0000.0 0.0 002 00.00 0 0H00.0 0000.00H 0.00 I I I I 0 0 I I I I 0 0 .00H 0H 000000 00I0 0000 00000 0000 02 00 2 00 m 0020 000 0000 0000 000200 0000200 20000000000 .0 00000 31 I I I 8 000.0 0.0 0ucsooI000 I I I I 0 0 I I I I 0 0 sz HH.N I-l «HH.0 hwm.m 5.0 sz NN.® v ommm.o omh.aa m.H .00H OH UGMHO bhlh 0000 00000 0000 00 00 0 00 x 0020 000 0000 0000 000200 0000200 Aomsc0ucoov .0 00000 32 002 00.0 0 000.0 000.0 00.0 002 00.0 0 000.0 000.0 00.0 002 00.00 0 000.0 000.0 00.0 002 00.0 0 000.0 000.0 0.0 .000 00 00000 00I0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 .000 00 00:000I000 00I0 0000 00000 0000 02 00 0 00 m 0020 000 0000 0000 000200 0000200 Avmficflucoov .v mqmde 33 2000000 I I 8 0000.0 00.0 2000000 I I 8 0000.0 00.0 I I I I 0 0 I I I I 0 0 I I I I 0 0 I I I I 0 0 002 000.0 0 000.0 0000.0 00.0 002 000.0 0 000.0 0000.0 00.0 002 000.0 0 000.0 0000.0 00.0 002 000.0 0 000.0 0000.0 00.0 002 000.0 0 000.0 0000.0 00.0 002 000.0 0 00.0 0000.0 00.0 00000 0 00 00000 00I0 0000 00000 0000 00 00 0 00 m 0020 000 0000 0000 000200 0000200 AU0900ucoov .v mqmde 34 I I I 8 Omho.o mo.o omz 0m.m v m©H.o oovm.o mm.o sz mN.N m OOH.0 omvm.o ON.O sz mm.v w VOH.O hmmm.o vm.o sz mo.H N ovm.o OHNm.o om.o ZOWmHOm I I 8 oovo.o ¢0.0 I I I I o C omz 0mm.© m Omv.o omhv.H 00.0 amz mmm.m m mv>.o OHmm.H vm.o sz Om©.HH w mvo.o OONH.H vm.o omz OHH.m m «HH.0 ommo.H mm.o sz ovm.m m mom.o OOHM.H ov.o kuwE H Om UCMHU ohlm 20mmHOm I I 8 OON0.0 No.0 HmumE H Om UCMHO OBIm MNHm QAMHh BmHD 0x mm M mm m BHZD mmm flmmd mafia mam2¢m mmgmzdm Avmscflucoov .v mqmde 35 20mmHOm I I I ON0.0 No.0 I I I I o 0 sz mmv.o N omm.o Hmm.o ov.o sz Omo.v m OHm.o voo.o v¢.o zommHOm I I 8 ovo.o v0.0 20mmHOm I I 8 ON0.0 No.0 sz N®©.v h Ohm.o omb.v NM.H sz mHm.h m OhN.H hmm.o mm.o sz OH®.® q me.o omh.H mm.o sz ooo.m H 0mm.o oom.o om.o sz omn.m v OmH.o 000.H @N.o Hmqu H om ucmuw bhlm WNHm DHmHm BmHD 0x be m 00 M BHZD mam fimmfl mfifld mqmzdm mmnm2¢m AflwDCHuCOUV .v mqmdfi 36 om.N b .AmmHQEmm 000806 ucmHQ uwuwe HV 0005 mHmEmm mo 00000000 0 mm x 000080000 HMHEOCHQ w>0ummwz zmw: Mszcm co.~ cm.“ 0 p 0 D whogm unpu: 0 no.“ 0 b .v mmDUHm om.o - M/I .AmmHmEmm 000506 0:000 .00 OOHV :me mHQEmm may 00 :00uocsm m 00 x 000050000 H005000n m>0ummwz .m 003000 200: 040200 0.00 0.00 0.00 0.00 0.0 0.0 P'Prb LI— h h b h h b P Fir—I P b b h S b L h P P 0000:00 0000 000 In 0 V [fir 0'92 ”/1 37 Aggregation or clumping within fields was the dominant spatial pattern in this study, although no common K or clustering coefficient was found. These results agree with the within field spatial pattern analysis carried out by Loosjes (1976) on onion maggot damage in sandy soils in the Netherlands. Loosjes cites four reasons for within field clumping: l. clustered egg deposition, 2. oviposition preference for certain sizes or densities of onions, 3. strong ovipositional preference for previously damaged onions, and 4. possible density dependent survival, but Loosjes states that no common aggregation coefficient can be spec- ified as various combinations of these factors interact and produce different patterns. This study fully agrees with his conclusions with one major addition to the list of factors causing aggregation within fields. A fifth, and major, cause of damage aggregation in Michigan onions is the spatial distribution of the granular insecticide placed in the soil at the time of seeding (this aspect will be discussed in some detail later in this section). The observed frequency distributions of actual onion maggot counts per onion within areas of defined onion maggot damage (strata 2-5 as discussed on page 19) were also fit to the negative binomial frequency distribution. Each independent clump of damage was analyzed separately (results listed in Table 5). All 26 separate clumps analyzed through- out the 1977 growing season clearly fit the NBD. Plotting l/K against the sample mean (Figure 5) we find an indication of a common factor 38 Hm.mH 00.0 mo.HH m ome.o mo me.mb oNN.o N Hm.mH om.MH mm.NH 0H mth.o Hv mow.Nw muo.h H Hum Nm.oH mN.HH 00.0H m vOVN.o om Hmm.Nv mmo.¢ H NHIm ho.HH mm.0H mm.b m mmmv.o mm vmm.mm mmo.m N ho.HH mm.m mo.H m ova.o vm Nwm.mm mMN.w H mum mm.NH mm.HH 00.0 m VhVM.o 00 000.0H mVH.N H mNth vm.m « mm.o H moHo.o mH mom.m HNv.o v vm.m « 00.0 H mMNo.o mm omo.NH wa.o m vm.m No.N mm.o H omHm.o mN MNN.o 00H.o N vm.m « mm.o H mmHo.o mm vmm.m Hem.o H HNIh « « I o ammo.o NH mmm.H mmm.o m mm.m mo.m mn.m N mmmN.o mm mvw.o Hbmq.o v Nm.> mm.m mo.N m ONNH.o mv ovm.H mmHv.o m mm.m mm.o mm.o N MFOH.0 mm omH.N mmm.o N mm.NH vm.o vv.m w ooNH.o mNH MOH.OH 050.0 H Huh no.vH 00.0 HH.0 h HhhH.o 00H moo.m cvn.o 0 ho.HH mo.h Hm.v m mOHH.o No «Vb.m mmm.o m Nm.h Nm.m mH.m m NOMN.o mH mmo.H HNv.o v mv.m Nh.h om.o v Nvom.o hm MON.m 0mh.o m m¢.m vm.h ON.¢ v OhmH.o mm mvv.H mwv.o N mv.a No.H no.0 v OHom.o om omN.m mmm.o H omlo Nm.h Hm.H Hv.H m mmHN.o 0N 0N>.HH ONm.H m mv.m mm.» 0N.h v ova.o mm oon.mH ONNo.H v mm.NH 00.0 0H.m o mmHH.o mOH mNm.m Hmmo.o m bo.HH mo.h NN.0 m NmmH.o mp omm.m omv.H N no.HH vm.v mv.v m oNhN.o 50 000.0 OHmm.H H mNIm o 0 amuHmo M M 00 0 000000 omuHmo amnHmo omnHmo M z «m m mango 000a .ONmN.o mo AUMVM COEEoo 0 mo coHu0oHHmm0 0G0 mcoHco 00m0fi00 mo m00u0 :quH3 mucsoo pomm0E coHco H0suo0 ou coHuanHume H0HEOCHQ 0>Hu0m0c 0:0 mo uHm .m mqmde 80.0 .04 1/K 39 FIGURE 5. I T T ' r V W 2.0 4.0 6.0 8.0 10.0 SRMPLE MERN Negative binomial parameter k as a function of the sample mean for the total immature population per onion within areas of damage. 40 of aggregation. The value of K (l/K as plotted) seems totally inde- pendent of the sample mean and fairly stable about its mean. In opposition to this common factor of aggregation are four aberrant points at the low density range. These points are marked by an aster- isk in Table 5. Closer examination revealed significant plant damage in these data sets, although the actual number of non—zero onion mag- got observations was limited to one or two insects per data set. Comparing the indicated sample dates with Figure A-3 shows peak second generation emergence coinciding with these sampling dates. Removal of the majority of the population from the sampling universe (emergence as adults) is believed to be the cause of the deviation in the param- eter K. A common K (KC) was calculated using all the data sets of Table 5, except those considered as outliers in the previous paragraph. A common K (KC) of 0.252 was calculated as the arithmetic mean of the Kis. Table 5 lists the results of the chi-square goodness of fit test to the negative binomial distribution using the Kc value for the parameter K in each test. As indicated, the only significant devia- tions were those four outlying points previously described. The exis- tance of a common K or common clustering coefficient at this within clump level, while not at higher levels seems probable for several reasons, 1) the higher the level examined, the higher the level of exogenous variability, 2) the environment, within any single clump or area of damage, is essentially homogeneous, and 3) the within clump level is the universe within which the immature stages of this insect actually operate. 41 The within clump study was conducted in a single field; it is not yet known whether the common aggregation coefficient found in this study is independent of field differences. Clearly, the significance of these findings suggests that the onion maggot utilizes a common mode, within a localized population, to exploit its immediate environ- ment. Nearest Neighbor Analysis: Quadrate sampling was used to analyze between and within field aggregation patterns. As mentioned earlier, the use of artificial sample quadrates biases the aggregation coefficient (K) of the NBD. No comparison between differing quadrate sizes is then possible. Dis- tance sampling (Clark and Evans 1954, and Pielou 1977) completely avoids the use of arbitrary sampling units and their associated prob- lems (Pielou 1977) by examining the distance between individuals with- in a population (nearest neighbor) or by examining the distance from a random point to the closest individual. Clark and Evans (1954) suggest the use of the ratio (Equation 6) A R = :—' (6) I13 where: f = mean distance from random individuals to A . . their nearest neighbor EB = mean distance from random individuals to their nearest neighbor if the population were distributed at random as a means of the degree to which the observed data approaches or de- parts from random expectation. As Equation 6 clearly reveals, an R 42 value of 1.0 indicates a random distribution. The parameter is also bounded at both extremes, R = O for absolute aggregation (all individ- uals at one point) and R = 2.1491 for a uniform pattern. Application of this technique at the between or within field level is somewhat awkward as the selection of totally random individ— uals would be difficult to manage. This technique was utilized on the data sets collected in the within field sampling study (the same set utilized for the fit of actual onion maggot count to the NBD). As described on page 20, the (x,y) coordinates of every onion within a clump were recorded. For this analysis, only the onions actually attacked by onion maggots were run through the analysis (algorithm, Clark and Evans 1954; computer program, Lampert and Untung 1978, and Untung 1978), which measured the within clump deviation of plant damage from random. Eighteen individual data sets were analyzed (results in Table 6). All data sets indicate a high degree of dam- aged plant aggregation. Specific Spatial Pattern Studies: Pupal Distribution in Muck Soil--In conjunction with the age specific onion maggot density sampling, two sample plots were exca- vated on August 3, 1977. A third sample plot was excavated on August 12, 1977. Three hundred and twenty nine pupae, surrounding 25 damaged plants, were extracted from the sample plots. Distances from the onion source, horizontal and vertical planes, were calculated with the resultant frequency distributions as given in Table 7 and Figures 6 and 7. A poisson distribution clearly fit the horizontal (Table 7 and 43 TABLE 6. Nearest neighbor analysis for within clump plant damage (distance in feet). DATE CLUMP :— VAR R C" 6-23-77 1 0.1246 0.0075 0.1088 7.625 2 0.1409 0.0106 0.1380 7.375 3 0.1050 0.0053 0.0985 7.713 4 0.1036 0.0028 0.0802 7.869 5 0.1384 0.0048 0.0875 7.807 6—30-77 1 0.1604 0.6272 0.110 7.605 2 0.1609 0.0039 0.0852 7.826 3 0.2047 0.0698 0.1476 7.290 5 0.2228 0.0212 0.1607 7.180 6 0.1463 0.0093 0.1918 6.914 7-7-77 1 0.2249 0.0065 0.2505 6.412 2 0.2332 0.0106 0.1142 7.578 3 0.1251 0.0043 0.0662 7.989 4 0.2228 0.0067 0.1260 7.477 7-29-77 1 0.1805 0.0106 0.2166 6.703 8-3—77 1 0.1407 0.0012 0.1379 7.375 2 0.1269 0.0043 0.1319 7.426 8-12—77 1 0.1114 0.0023 0.1444 7.321 * C is compared against the standard variant of the normal dis- tribution for a particular level of significance (a = 0.05 - SD = 1.96). C values greater than 1.96 are significantly dif- ferent from random at the 5 percent level. 44 TABLE 7. Observed horizontal pupal distribution around a source onion in muck soil as compared with a poisson distribution (i = 3.21). Tabled values are in terms of inches. mx g 1 0-1 12 13.27 0.1215 2 1-2 45 42.60 0.1352 3 2-3 61 68.40 0.8006 4 3-4 87 73.20 2.6000 5 445 53 58.70 0.5500 6 5-6 43 37.70 0.7451 7 6-7 11 20.10 4.1200 8 7-8 14 9.25 2.4400 9 8-9 1 3.70 1.9700 10 9-12 2 1.75 0.0360 IE329 13.5100 a = 0.05 Tabled x2 = 15.507 II 00 DP // 7/////////////////fl 7///////////////////////////% 7//////////////////////////////////////////////% / W 7 ............... onhcbzmom .52: mo Fzmumum 0 1 2 13 4 £5 6 7 a 9 10 ION INCHES FROM THE 0N . Horizontal distribution of onion ma ot u ae in muck soil from onion source 0- V / é / ¢ “a? 000000 TTTTTTTTTTTTTTTTTTTTTTTT 47 Figure 6) but no distribution was fit to the vertical distribution (Figure 7) due to the small number of frequency cells. Figure 6 shows that approximately 90% of the pupae were located within a six inch radius of the onion source. Figure 7 shows that approximately 100% of the pupae lie above the six inch depth. Seasonal Distribution of Onion Maggots Per Bulb--Table 8 lists the mean number of immature onion maggots found per bulb along with associated variance. If the data is plotted over the onion bulb volume, a linear increase is observed (Figure 8), although considerable variance is noted about the regression line due to changing density levels as population maturation and adult emergence occur. Ovipositional Preference-—The experimental data (total eggs and larvae) was first analyzed using a three—way ANOVA (see Appendix F for complete data set). As no differences were found due to field loca- tions, the data was pooled to increase the per cell replication from 6 to 18. A two-way analysis of variance was then used to test for differences. The analysis of variance was then used to test for differences. The analysis showed significance for both factors (bulb size and bulb condition) as well as an interaction (Table 9). A plot of the means (Figure 9) and the per cell statistics (Table 10) show the treatment results. Bulb type showed an obvious effect due to bulb size: small bulbs were found with a reduced mean, while large green bulbs and large dry bulbs (high mean) showed no significant differences. All three treat- ments of bulb condition (R, R + I, N) were significantly different. Rotting and Infested (R + I) were the most attractive. Rotting (R) 48 TABLE 8. Observed number of onion maggots per infested bulb in the Grant, Michigan test field. DATE MEAN VARIANCE DE32¥$$BEULB 6-23-77 4.40 17.41 20 6-30-77 2.80 7.87 12 7-7-77 3.18 17.67 21 7-21—77 7.11 61.11 22 7-29-77 4.42 24.54 29 8-3-77 7.75 72.07 40 8-12-77 8.64 54.40 39 9-1-77 11.88 110.30 37 14 1 UNION HRGGOTS/BULB 49 FIGURE 8. l l T l 4477 e 16 24 32 4o 48 BULB VOLUME (CU. CM.) Relationship between the mean volume number of onion maggots per bulb and the volume of the onion bulb. TABLE 9. Analysis of variance table for total 50 onion type and onion condition. eggs and larve by SOURCE OF SUM OF MEAN VARIATION SQUARES DF SQ. ACRES F SIGNIFICANCE Onion Type 3780.48 2 1890.24 31.68 0.001 Onion Condition 12519.51 2 6259.79 104.91 0.001 Interaction 3849.93 4 962.48 16.13 0.001 Error 9128.5 153 59.66 TOTAL 29278.5 161 51 35 DLarge Dry Bulbs ELarge Green Bulbs 5:5: Small Green Bulbs 30 MEAN ONION MAGGOTS/BULB 15 20 25 10 ROTTEN & INFESTED ROTTEN GOOD BULBS BULBS BULBS FIGURE 9. Plot of treatment means for ovipositional attraction experiment. 52 TABLE 10. Cell statistics for ovipositional preference ANOVA experi- ment (mean and 95% confidence limits). Large Dry Bulb Large Green Bulb Small Green Bulb )7 C.L. i C.L. i C.L. Rotten 30.77 27.18 12.669 9.069 0.3889 0.0 and Infested 34.38 16.264 3.98 Rotten 29.167 25.569 10.83 7.236 0.222 0.0 32.764 14.430 3.819 Good 5.889 2.291 4.61 1.014 0.9444 0.0 9.486 8.209 4.54 Grand Mean = 10.6111 Total N = 162 02 of Cell Means = 1.821 53 onions showed some attraction for oviposition, while healthy onions were essentially neutral (extremely low means). Although significant differences were found between R + I and R treatments, the results must be evaluated with respect to the experiment itself. It is be— lieved that the differences found between the R and R + I treatments are partially due to onion desiccation in the R group during the expo- sure period. The addition of active larvae in the R + I treatment created higher moisture conditions throughout the test period.‘ It is not known whether the difference noted was due to the higher moisture levels in the treatment, the continued maceration of bulb tissue by the implant larvae (thus an increase in onion volatiles), the presence of an actual ovipositional stimulant produced by the larvae, or other unknown factors. Of significant importance is the verification of an ovipositional preference for rotting and/or infested onions for which this experi- ment, in conjunction with the findings of those from the age specific sampling study (discussed later) which revealed a 20-fold increase in eggs found on damaged (grade 3) onions as compared to adjacent healthy onions, gives quantitative proof. Distribution of Initial Attack--Numerous field observations have noted a wide range of onion maggot damage patterns. Although aggrega- tion is typically the rule, the range of aggregation varies highly between areas. As expected, the field-wide pattern of initial plant damage is also variable, but a common pattern, near random damage, was observed within limited areas of initial damage. In other words, 54 some fields showed high initial damage aggregation at the field level (1 or 2 rows heavily damaged, while the remainder of the field was damage free) but in areas of apparent damage (heavily damaged rows), the initial attack approached a random pattern. To test these observations, early season plant damage samples collected by the pest management field assistants were analyzed. Six sets of early season damage samples, consisting of 10-100 foot samples per set, were collected in mid May (May 15 - May 20) with the number of damaged plants being recorded by the foot. The distance between damaged plants was calculated and a Runs test (Siegel 1956) was used to test for deviation from a random pattern within samples. The sam- pling distribution being tested under Ho is considered approximately normal with: _ 2n; n2 Mean 11 fi—Tn— + 1 (8) 1 2 Standard deviation = 0 Vbn n (2n n - n - n ) (8) r 1 2 1 2 1 2 ’— (n +n)2(n +n -1) 1 2 1 2 where: n number of observations below the sample mean 1 n 2 number of observations above the sample mean Therefore, the normal score Z (Equation 9) can be tested against the standard normal distribution for deviation from randomness. Z=——-—— (9) where: r = runs = number of sequential data observations above or below the mean As multiple observations per sample were necessary for this test, only samples consisting of five or more damaged plants were evaluated. This 55 reduced the number of fields available for analysis to three. As mid to late season damage is believed to be built from the same base pat- tern established from the initial attack, seven sets of data collected later in the same season were also evaluated. These sets all showed high aggregation (several damaged plants for each observation) but if they developed from an initially random base pattern the centroids of each clump should reflect the initial pattern of damage. In each of these sets, the distance between the clump centroids was measured and analyzed as above. The results (Table 11) indicate that every data set tested (the initial plant damage and the centroids of damage clumps) showed no deviation from a random pattern. Therefore it is highly probable that the initial attack within a limited area of an onion field ap- proaches a random pattern. The actual field level damage patterns visualized do not reflect the total initial attack, only the successful attacks. The variability noted in the field level damage patterns is believed to be partially induced by natural environmental factors, but the natural selection of microhabitat may be overshadowed by pesticide induced mortality. Large areas of onions are often left vulnerable to onion maggot attack when, during seeding time, the application equipment, which places the granular soil insecticides in the furrow, malfunction. By random oviposition initially in the spring, such unprotected areas become flagged by damaged plants. This initial random damage quickly evolves into more highly aggregated patterns as the damaged onions begin 56 .m.z m6.o 6 oo.6 6H.m v 6 mH aposoo-Hne 66-6-6 .m.z 66.H 6m 6m.H~ 66.HH 6H 6m 6 o>num 66-m-6 .m.z 66.o- v oo.6 66.6 6 6 oH 66-mH-6 .m.z mm.o e o6.m oo.6 m e 6 66-mm-6 .m.z 66.H me 66.66 oo.6 6m 66 6 66-mm-6 .m.z 6m.o- 6N 66.6m Hm.6 6H 66 6 66-mH-6 .m.z mm.o NH mm.oH 66.6 6 6H 6 966066 66-6-6 .m.z 66.6 o om.m oo.mH 6 m H bongo 66-6H-m .m.z 66.o- m 66.6 MH.oH 6 o H o>oum 66-MH-m .m.z H6.o- 6 oo.6 6H.m 6 6 H uoomnq 66-6H-m mozeonHonm N 622m 9: m Nz flz mmmmmm onomm ween .mpflouucwo QEDHU can 006566 unmam HmHuHcH cmw3umn mucmumwc How mummu mafia .HH mqmda 57 attracting egg laying adults, thus allowing the population to locate areas of successful survival within a highly toxic environment. If an insecticide become ineffective, due to improper placement, leaching, or insect resistance, initial damage is likely to occur ran- domly throughout the field, and later produce randomly dispersed clumps of damage throughout the field. Typically some intermediate condition exists between these two extreme cases, producing the variable inten- sity of aggregation noted in this study and in the literature. Plant Damage Sampling Regional Plant Damage Sampling: The precision with which regional population densities can be determined is dependent on the amount and type of sample variations found throughout a region and the quantity of available resources for data acquisition. Regional sampling variation is essentially two part, consisting of within and between field variance components (Morris 1955, and Ruesink and Haynes 1972). The distribution, or re- lative amount of regional variation, allocated to each variance com- ponent, sets the structure within whichthe sampling program must be designed. The sample variance for each region and sampling date was sepa- rated into its within and between field components using a one-way analysis of variance (Table 12) (Sokal and Rohlf 1969, and Jessen 1978). The mean square among (MBA) estimates the between field variance component (8;) of a region by Equation 10 and the mean square 58 E6£mcH I 6666.6 6H 666.6 66H 666.6 60666 - 606x066 666H.6 6 666.666 66 666.6H 66Ho 66H6H H666.6 6 666.6 66 66H.6 66666 666H.6 6 666.666 66 666.66 o>666 6666 6066666666 660066 E6£mcH I 6666.6 6H 666.6 6HH 666.6 6ou66 - 6066066 6666.6 6 666.66H 66 666.66 6660 66HEH 6666.H 6 666.66 66 666.6H 06666 6666.6 6 666.66H 66 666.66 o>666 x666 60Hu6um666 66666 x 66 662 66 662 on666 oonmm oqumzam .AmomH MHnom 6:6 meomv 6066666> mo 6 150660 m6oflumm wcflams6m o3u 6:6 mcowmmu 650m Now 666566 C666 A d Hm>H6c6 >6suwco 6 6:66: 6mu6a m mzv cmm3umn 6:6 A mzv Casufiz .NH mqmce 59 error (MSE) of the ANOVA estimates the within field variance component (5:) directly (Jessen 1978). MS — MSE S = -———-———- (10) where: n = number of samples per treatment. 2 Both components of the regional sample variation (S13 and 82) are w dependent on the sample mean, as is the total variation of many samples. A log variance-log mean function (Equation 11) has been used by several authors (Morris 1955, Wayman 1959, and Taylor 1961) to describe the variance to mean relationship of sampling data from various populations. log 02 = log a + b log i or (11) 2 b o = a(x) Parameter "a" depends chiefly on the size of the sampling unit, while parameter "b" is an index of aggregation varying continuously from 0 for a uniform distribution to plus infinity for extremely contagious populations ("b" + 1 when the population is randomly dispersed) (Tay- lor 1961). The regression of log MS on log mean was used to estimate both parameters "a" and "b" for the within and between field variance com- ponents of the cumulative 100 foot samples (see Table 12). As seen in Figure 10 and the ANOVA Tables 13 and 14, excellent fits (r2 > 0.98) were given for both mean square components. Finney (1971), Morris (1955), and Bliss (1967) have shown that the arithmetic means is underestimated when predicted from the geometric mean of a logrithmic 60 .6u66 @cflHQE6m H6coflmou 0:0 60 60:0:OQEOU 6H0Hm :003003 6:6 £66063 MOM mechHu6H0u :60E ou 066530 :60: .OH mmDUHm zcmz ofi o.H H.o H0.0 6 6 _ 6 _ 1 .no .U ”.0 6 a%&3 1w. o a nuuu o a “M 4 a a ”N 11.66 nonu nu o o . mw 3. a . rmw no onuum zuwzhmm a a abwau znrhmz o r 0001 61 TABLE 13. Regression statistics for predicting within field mean square for the 100 foot sample unit. SOURCE DF SS ms Regression 1 11.1400 11.14000 Residual 6 0.2167 0.03612 Total 7 11.3600 y intercept ("a") 0.9152 1 0.0699 slope ("b") 1.399 1 0.0865 2 r 0.9809 TABLE 14. Regression statistics for predicting between field mean square for the 100 foot sample unit. SOURCE DF SS ms Regression 1 17.4800 17.480 Residual 6 0.2406 0.041 Total 7 17.7200 H- y intercept ("a") = 1.543 0.0708 slope ("b") 1.719 i 0.0823 2 r 0.9864 62 regression plot. Bliss (1967) suggests Equation 12 to adjust for this biased regression estimate. y = Antilog (a + b log x + 1.1513 82) (12) where: S2 = error mean square from the analysis of variance table of the regression The correction factor slightly raises the magnitude of the intercept (parameter "a") but has no effect on the slope (parameter "b") of the regression equation. Equations 13 and 14 represent the Mean Square function predicted by the log MS log mean regression for within field and between field components respectively. Equations 15 and 16 represent the same rela- tionships as Equations 13 and 14, but have been adjusted as suggested by Bliss. MSw = 8.28(§)1-“° (13) M8: = 9.13(§)1-“° (15) MSb = 34.9(701-72 (14) M5; = 38.8(x)1'72 (16) Morris (1955) after segregating variance components used Equation 17 to solve for the total number of units (Nt) to be sampled, given several values of Nw and the number of subsamples per unit. sénw + s: Nt = (Sy)N (17) w where: S? = standard error of the predicted mean (logrithmic scale) Morris goes on to show that the Optimal sampling strategy, given the condition 5; > s: is to take 1 subsample per unit (Nw = 1) as long as the time spent moving between units was not large compared to the time spent collecting a single sample within a unit. However, no 63 consideration was given to sampling optimization in a finite universe, as in this case the sample units (trees in the forest) were essentially infinite when compared with the number drawn in the sample. Ruesink and Haynes (1973), considering Nw (subsamples per grain field) to be 1, as the s; > 5:, used an equation (Equation 18) similar to that of Morris but included the necessary components to adjust for sampling in a finite universe for specific levels of precision. 2 5 NF Nt ‘ s2 + (aimr (18’ where: NF = total fields per region S2 = total variance of the region a = precision level (Si/x) Although this equation considers a finite universe, it will give erroneous results in a two-stage sampling program if the number of primary sampling units (fields per region) becomes limiting. As the number of grain fields per region was large, Ruesink and Haynes did not experience this problem. However, in onion production, the number of fields per region is much smaller and quickly becomes a limiting factor necessitating an increase in Nw (subsamples per field). Cochran (1963) discusses two-stage sampling and offers Equation 19 to describe the total variation by its within and between unit com- ponents. The approach considers a finite universe for boththe sample unit and the number of subsamples per unit. Sb M - m i —+ —— mm?) = (5246—2).- < M ) m = (a?)2 (19) where: i = regional mean 5; = between field variance a = precision (s§/§) s: = within field variance NF = number fields/region M = possible subsamples/field n = number fields sampled/region m = number subsamples/field 64 A closed form method for evaluating the optimal number of samples within and between units is given (Cochran 1963) but it is dependent on the F distribution, which assumes normality. Normality cannot always be assumed, nor can a normalizing transformation always be made when sampling from low-medium density aggregated populations; therefore, an alternate approach is used. Solving Equation 19 for m (subsamples per field) we obtain Equation 20. 1“ = T (20) The component Sé/M of the denominator is of little or no signif- icance in this equation as most commercial onion fields are 10 acres or larger. Calculation of M (4,000 possible subsamples per 10 acre field) with division into the highest within field variance noted, produces an insignificant change in the estimate of m. To be conser- vative, the component Sé/M is considerd as 0, thus increasing the value of m for a safer estimate. The resulting expression can be written as: 52 m: =2 zwn (21) + —- n(au) Sb(NF 1) As the true population parameters, 0, S2 b' and Si, are not known and their sample estimates must be substituted, the square of one tailed standard score from the normal distribution (Z) must be included. (If the corresponding sample size is small, the t statistic must be sub- stituted. (Karandinos 1976).) The statistics involved in this 65 substitution necessitate the consideration of the probability state- ment associated with the confidence region about the mean (Equation 22). ' s - s P = < < + 2' _ r(X) (201/235 Ll X (ZCX/Z.)l/F (l a) (22) where: H = sample mean a = probability of type 1 error Z = the one tailed standard score of the normal 0/2. distribution Based on the Central Limit Theorem, the assumption of normality will hold true for the distribution of population means, even though the Xi's may not be normally distributed (Steel and Torrie 1960). The value of Z depends on the confidence coefficient which is an arbitrary variable chosen by the researcher (typically 0.95). Setting the value at 0.95 a value of 1.96 is obtained for Z. Substituting Equation 15 for 8:, the application of Equations 15 and 16 with Equation 11 for 5;, and with the inclusion of 22 we obtain Equation 23. (3.84)(9.13)(§)1°”{) n (38.8(§)‘°72 - 9.13(§)"“°) Mai-32 +615; - 1)( 10 0 m = (23) ) By examining Equation 19 it can be seen that the addition of sample units at the field level (n) decreases the within and the be— tween field variation while an equal increase in the number of sub- samples per field (m) only decreases the within field component of variation. Jessen (1978) states that when the cost of sampling pri- maries (fields) essentially equals that of the secondaries (subsam- ples per field) it is always optimal to increase the number of primary units to the maximum before increasing the number of subsamples. The only additional cost in sampling more fields is the cost of moving 66 from one field to the next. The cost involved in moving between onion fields within a region is essentially zero as the fields are typically found in large geographic clusters due to the strict dependence on soil type. Following the above logic given by Jessen (1978) and using rea- sonable estimates for i, a, and NF (maximum NF seen < 40), it can al- ways be seen that every field per region must be sampled before any reasonable level of precision can be reached. By sampling every onion field in a region, the between field variance component can be eliminated from the denominator, leaving Equation 24, (3 84)Sz ' w m = "j"?— (24) NF(ax) or, in the case of the 100 foot sample unit: (3.84)(9.13(§)1'“°) NF(aJ-'?)2 m = from which the optimal number of samples (m) within each field can now be directly calculated for various combinations of i, a, and NF. An additional factor, the sample unit size in linear row feet (L), must be examined before the calculation of the optimal within field sample size (m). Taylor (1961) noted that the variance mean relationship changes as the sample unit size changes, thus directly affecting the optimal sampling strategy. Sample data was recorded by one foot increments; sample unit lengths ranging from 1 to 100 linear row-feet were randomly extracted from each subsample. As before, an analysis of variance and a log variance log mean regression (the intercept “a" as adjusted by Bliss 1967) was performed to estimate the variance to mean relationship 67 for all 100 values of L for the within and the between field cases. Although some decrease in between field variance was noted, the re— duction was not significant, as even the smallest between field vari— ance necessitated sampling every field per region. The effect of L on the within field variance-mean relationship (Table 15) can be noted in Figure 11; the precision (Si/X) of the pooled onion maggot damage data is plotted against the sample unit size (L). Given any set values for m and NF, the sampling precision steadily improves as L approaches 100 feet. Of greater importance, is the effect of the sample unit size on the number of samples per field and the related costs given a set level of precision. To estimate the cost of sampling, the time involved in collecting data for various densities of damage was recorded. A linear function (Figure 12 and Table 16) was found to estimate the time in minutes necessary to sample 100 linear row feet for the density range examined (0-100 damaged plants per 100 foot strip). Movement between samples within a field is independent of the density and was found to take approximately 1 minute. Coupling these two time components (Equation 25) with Equation 24 and the ten variance-mean relationships of Table 15, the total cost of regional sampling can be compared for various values of L, 2, NF and a (Si/2)° Cost = (1. + L(FC/100.))mNF (25) within field sample size where: m L = feet per sample unit PC = minutes to sample 100 feet NF = fields per region 68 TABLE 15. Within field variance to mean relationship as estimated by a log variance-log mean regression for various sample unit sizes. L Adj "a" "b" Deiiiifiiiiifi 7:2) 10 14.24 1.51 0.91 20 14.16 1.54 0-95 30 11.09 1.48 0.94 40 9.74 1.48 0-96 50 9.13 1.45 0.96 60 8.58 1.48 0.97 70 9,11 1.49 0.97 80 9,26 1.43 0.98 90 9,35 1.41 0.98 100 9.13 1.40 0.98 - b General Form S2 = 6100 69 0.40 0.36 L L 0.32 L Si/i (R) 0.24 0.28 1 41 r1 1 11 I 1 0.20 l f I T I V o 20 4o 80 80 100 SRHPLE UNIT SIZE (LI FIGURE 11. Regional sampling precision plotted as a function of sample unit size. 70 63-- 100 FOOT SFII‘IPLES MINUTES I T r I l 40 r 0 20 DENSITY/100 FO0T PLOT T l 60 80 100 FIGURE 12. Sampling cost in minutes as a function of plant damage density. 71 TABLE 16. Regression statistics for sampling time versus plant dam- age density. ) SOURCE DF SS ms Regression 1 134.6 134.6 Residual 11 12.1 1.1 Total 12 146.7 y intercept ("a") 1.741 i 0.2908 slope ("b") 0.09553 i 0.008635 r2 0.92 72 As expected, given any set precision level, the larger sample unit required fewer samples to be taken per field (see Figures 13 and 14) except when m reaches the minimum value of one sample per field where L < 100 (possible only at high densities or low precision). The cost functions (Figures 15 and 16) indicate that the larger 100 foot sample units are the most efficient in terms of time spent sam- pling, again with the exception where m +1 for L < 100. No sample unit sizes larger than 100 feet were examined, but as can be seen in Figures 15 and 16, the cost function has begun leveling off with minor increases in efficiency as L +100. The exception is where low densities (& < 1) and high precision ("a" f_0.1) are required. The sample unit size of 100 row feet will be used to complete this analysis as it gives the maximum efficiency over the largest range of densities. Figures 17-20 give the optimal number of samples per field as calculated from Equation 23 for three levels of precision and four values of NF (total fields per region). In this study only a portion of the fields within each of these regions were monitored, thus prohibiting precise estimates of their mean damage values. For future utilization of this sampling information it should be noted that regional means were found to lie in the range of 1.5 and 6.0 damaged plants per 100 foot sample. Using these ex- pected mean values and Figures 17-20, the necessary number of subsam- ples per field (m) can easily be found for the three given precision levels. SRHPLES/FIELD (I) HINUTES 73 O. O 8: uraso 8'. ”'=’° l “LPN“: .1 i KPH“: .2 ‘ d O. 1 O 4 R: a" 4 4 4 4 9‘ .. =I< 8: . 3: 4 D 4 1 —J ‘ 04 In a 4 64 7" 6‘ {ggj 1 m ‘ ‘ xonk=Io 3 , ‘ L 2 = 9‘ «1 as 2: O 4 : Io-I 9.. '1 ‘ u 1 4 4 4 XMR=IOO ‘ o 4 ° 4 ”“8100 V V Y Y 17? fi V I Y 1 1 v I V V Y 1 T V V ' V I . V V V V V V V V V V v V V V vi V V ' ' I “b 20. 40. so. 00. I00. ”0. :5. 45. 05. 05. I00. SRHPLE UNIT SIZE (L) SRHPLE UNIT SHE (L) FIGURE 13 FIGURE 14 O. a O O 8“ 8! l -. ' ‘ “'830 1 ":30 8 4 RLPHflsol 9° 4 “7%.! o- 8 ID “.1 1 4 1 4 g" -? 0.1 '1 §': 1 1 o ‘ m I 8 4 U 4 8‘ ’5 a. 4 2 . 4 4 H .. t : xuua 8 4 - 4 8’.“ §- ‘ 4 ”M810 .- I §‘ " .3: §< 850 ‘ :80 1 j xmflo' 4 Milan 4 . V‘YT‘T I v v T v I v v v v v v v v v v V 0 v ' V v v v v v ' cb- 20- 40- 03- 03. TT30- “b. 25. 45. . . f05.' . . '05 . . Ioo SRHPLE UNII SIZE IL) snnPLE quI SIZE IL) . FIGURE 15 FIGURE 16 FIGURE 13-14. Necessary subsamples per field for various densities, sample unit sizes, region sizes, and levels of precision (regional sampling). FIGURE 15-16. Sample cost in minutes for various densities, sample unit sizes, region size, and levels of precision (regional sampling). 74 NF:10 NF=20 SUBSHHPLES/FIELO (H) [0 IS 20 26 30 88 4 l + l A l A 1 A l L l n r SUBSRHPLES/FIELD (HI I? If 2? 2? 3(1) 3? 4 v v 1 v v 1 v I w 1 V 0 IO 20 30 40 50 O 10 20 30 40 ‘0 REGIONRL HEBN REGIONAL HEAN FIGURE 17 FIGURE 18 fi V 1' V 1 NF=30 4 NF=40 I . 84 2.1 4 I L .. SUBSRHPLESIFIELO (H) D “~— SUBSRHPLES/FIELO (H) II 20 FF 1 6 l .1 F I P I: It I: o . I3 4. :5 44* :3 - 45 . 63 o In 23 so 40 so REGIONHL HERN REGIONHL HER" FIGURE 19 FIGURE 20 FIGURE 17-20. Necessary number of subsamples per field to achieve specified levels of precision at given densities and region size (regional sampling). 75 Field Level Plant Damage Sampling: Determination of accurate within field plant damage densities, as with the preceeding regional densities, necessitates an understand- ing of the variance to mean relationship within the sample universe. As noted earlier, the variance of a sample mean depends on population density and dispersion, as well as the structure of the sample unit itself. Cochran (1963) defines the variance of a sample mean derived from simple random sampling as: VARW) = 1:0? - 02 = —-(—’L'——’l’ = (an-)2 (26) field mean n number samples/field where: precision true population mean 2 Z W XI ll possible samples/field S true population variance The term (N - n)/N compensates for sampling within a finite universe, but as the sample size, n, is small in comparison to the possible num- ber of samples, N, the resultant value approaches 1. To be conserva- tive in estimating n, the value of (N - n)/N was set equal to 1.0, resulting in Equation 27. S2 2 VAR(IJ) = :1— = (all) (27) The true population parameters 0 and S2 are unknown, and the es- timates i and S2 from sampling data must be used. Karandinos (1976), adjusting for the estimation of u and S2 and solving for n, transforms Equation 27 to Equation 28. (z >st 2 n = -—91-§——2—— on: n = iii—44$ (28) (ax) (a?) where: (Za/Z) depends on the confidence coefficient which is an arbitrary variable chosen by the researcher (typically 0.95, which sets Za/Z = 1.96) 76 Simple means and variances were calculated for numerous values of L (sample unit size) using the 71 sets of field data (Appendix C). As before, a log variance-log mean regression was fit for each test value of L which generated the regressions listed in Table 17. An identical regression analysis was performed on the 1 meter sample unit data col- lected from Grant, Michigan (Table 17). As the tabled values suggest, the resultant variance to mean relationships (3 foot and 1 meter) are not significantly different (ta = 0.3372, tb = 0.6598, Table t = 1.98; Cox 1976). Equation 28 was linked with the variance to mean relationships of Table 17 (L 6 10 + 100, by 10) to estimate the sample size (n) for differing densities and precision levels. Figures 21 and 22 indicate, as expected, N decreasing as L increases. Of particular importance, apparent in both these figures, is the leveling effect noted in the slope of the function at the higher densities, which suggests optimum sample unit sizes less than 100 feet. The cost function related to the within field sampling program is essentially equivalent to the regional sampling program, with two minor adjustments. The multiplicative factor associating the number of fields per region, NF, may be totally extracted, and the parameter representing movement between samples within fields is cut from 1 minute to 1/2 minute as the distance between samples is reduced ap- proximately 50% due to the increase in the sample frequency per field. SRHPLES/FIELD (N) MINUTES 77 9- I I 4 o 4 ‘ flLPNfl:.2 4 4 4 4 .83.- ; E1 reams 4 U 4 4 o 4 4 _’ 4 4 I: 0‘ §: ‘t A: * xaAA:Io 33 ‘ "“'=1° 4 _J 4 4 0" < 8. E 8. '4 m “4 4 4 4 4 o 4 4 8‘ K ""‘5" 8‘ xmeso . ‘ 1 : xannsIoo j xuanexoo *V‘Y "Tf 'Y‘VIV'V'I"" Yrvv TTf‘V’ vvvv rwrw TYVV “b 20 45 so so 100 “b 23 .3 .5 63 (Ba SRHPLE UNIT SIZE (LI SRHPLE UNIT SIZE (LI FIGURE 21 FIGURE 22 84 84 0, fiLPNflsJ 0. 4 4 ‘ xlfllss 4 IO N < I . 4 . 4 4 4 O O 9“ 0-4 " “4 ‘ xann=Io . 4 a: < 4 u . 8- '5 3. " . z "4 4 z 4 8L 8: “- XMR=$O ". 4 M 4 2‘ 8': X xanneso j ‘ \ H 4 J xannano O *f'T""I""T""TTr7—'j O"V'T""T*"'I""fi*"1 o 20 40 so so I00 0 20 40 so so I oo SFIHPLE UNIT SIZE (LI SRHPLE UNIT SIZE (LI FIGURE 23 FIGURE 24 FIGURE 21—22. Necessary samples per field for various densities. sample unit sizes, and levels of precision (field level sampling). FIGURE 23-24. Sample cost in minutes for field level sampling. 78 TABLE 17. Field level variance to mean relationship as estimated by a log variance-log mean regression for various sample unit sizes (L). Coefficient of L Adj' "a" "b" Determination (r2) 3 3.01 1.24 0.9733 10 3.43 1.26 0.9703 20 3.57 1.27 0.9727 30 3.99 1.30 0.9761 40 4.21 1.31 0.9802 50 4.39 1.32 0.9815 60 4.60 1.33 0.9859 70 4.76 1.34 0.9857 80 4.85 1.34 0.9866 90 5.02 1.34 0.9867 100 4.98 1.35 0.9877 * 1 meter 3.04 1.26 0.9562 *Independent data set from Grant, Michigan (1976-1977). General Form 82 = a6?)b TABLE 18. Optimum sample unit size (L) as predicted by Equation 19 for various densities and levels of precision (densities based on 100 foot plots). 10 20 30 40 50 60 7O 80 90 100 a=0.l 100' 100' 50' 50' 50' 40' 20' 20' 20' 20' 0.2 100' 100' 50' 40' 50' 50' 40' 20' 20' 20' 0.3 100' 100' 50' 50' 40' 50' 50' 20' 20' 20' 79 Adapting Equation 25 as above, we obtain: Cost (0.5 + L (PC/100.))n (29) where: L feet per sample unit n sample size FC minutes to sample 100 feet (from regression equation, Table 16) and thus the curves in Figure 23 and 24. Figures 23 and 24 clearly indicate optimal sample unit sizes less than 100 feet for two of the densities graphed. The relationship between the density and optimal sample unit size (L) seems to be little effected by the precision levels as indicated in Table 18. Although the values of Table 18 re- flect the true optimum sample unit size, often the effect of varying L over a wide range will have little effect on the overall time spent sampling (Figure 23: i = 50). For other densities, the time savings can be appreciable (Figure 23: i = 100; savings 8 33%). The necessary sample size (n) is conditional on the size of the sample unit selected. If apriori estimates of the field density are available from previous sampling dates or from preliminary sampling, Table 18 gives the optimum sample unit length (L). When such informa- tion is lacking, the lowest density of interest must be selected from Table 18. In either case, the estimated population variance can be calculated from the regression coefficients of Table 17 and then used in Equation 28 for calculation of the necessary sample size n. If low precision estimation is adequate and the resultant sample size is less than 30 samples per field, it must be remembered that the properties of the Central Limit Theorem do not hold and normality 80 cannot be assumed. In that event the use of Chebyshev's Theorem (Steel and Torrie 1960) allows the estimation of confidence limits for any type of distribution. Within Field Sampling for Age Specific Density Within field density sampling was conducted ten times throughout the 1977 growing season. The first two sample periods (June 10 and June 14) revealed no observable onion maggot damage within the test field; therefore, samples were taken to estimate onion maggot density within stratum 1 (healthy onions). With the first observable onion maggot damage (June 23), sampling was initiated in strata 2-5. Tables 19 and 20 list the sampling phenology along with a data collection summary for each sampling period. The complete set of sampling data is listed in Appendix E. The healthy onion samples (stratum 1) are not listed in either Table 19 or 20 because only observations of 0.0 were recorded for every sampling date. Although no true means were established, some insight into the stratum density can be established using detectable survey techniques. Since no observations larger than 0.0 were made, the actual fit of any probability density function cannot be tested, but the applica- tion of the poisson distribution is a reasonable assumption, because attacks on young virgin onions occur randomly (page 53) and as statis- ticians have long recognized, the poisson is the "rare events" distri- bution (Steel and Torrie 1960, and Sokal and Rohlf 1969). 81 TABLE 19. Summary for the 100 foot plant damage sample taken through- out the 1977 growing season within a single test field in Grant, Michigan. M... 53333: :33. 6-10 0 0 0 6-14 0 0 0 6-23 42.1 10.90 2,8 6-30 56.9 11.10 3,8 7-7 60.8 10.80 4,1 7-21 69.8 12.50 4,7 7-29 67.0 14.80 4,5 8-3 74.7 16.40 5,0 8-12 70.9 13.76 4,7 9'1 71.1 12.21 4,7 * Based on full stand of 15 onions per foot. 82 TABLE 20. 1977 data collection summary for strata 2-5 in the Grant test field. #CLUMPS LIFE DATE SAMPLED STRATA STAGE MEAN VARIANCE VAR/MEAN 6-23 5 2 193 E 0.0777 0.3325 4.28 l 0 0 - 2 0 0 - 3 0.0104 0.0103 0.99 P 0 0 - 3 36 E 2.0556 14.5111 7.06 1 1.0278 8.3706 8.14 2 1.3056 5.5325 4.24 3 1.1667 1.1714 1.00 P 0.1389 0.1230 0.88 4 78 E 0.0461 0.2166 3.38 1 0.0513 0.2051 3.99 2 1.1795 6.5910 5.88 3 0.6538 1.2682 1.94 P 0.2821 0.3350 1.1875 5 0 None Observed - - 6-30 6 2 229 E 0.0873 0.4046 4.63 l 0 0 - 2 0.0087 0.0087 1.00 3 0.0480 0.0722 1.50 P 0.0087 0.0087 1.00 3 38 E 1.4211 5.7639 4.06 1 0.2895 0.5896 2.04 2 0.9211 4.6152 5.00 3 1.0263 1.6479 1.60 P 0.6053 0.7319 1.21 4 88 E 0 0 - 1 0.0114 0.0114 1.00 2 0.1023 0.7365 7.199 3 0.1364 0.4180 3.06 P 0.4432 0.3646 0.8224 5 0 None Observed - - 7-7 '8 2 E 0.0244 0.0435 1.78 1 0.0488 0.3996 8.18 2 0.0049 0.0049 1.00 3 0.0146 0.0145 1.00 P 0.0049 0.0049 1.00 3 E 0.9600 4.9567 5.16 1 1.3600 10.3233 7.59 2 0.3200 0.6433 2.01 3 0.8400 4.1400 4.90 P 0.9200 1.8267 1.90 83 TABLE 20. (continued) #CLUMPS LIFE DATE SAMPLED STRATA n STAGE MEAN VARIANCE VAR/MEAN 7-7 8 4 36 E 0.0833 0.2500 3.00 l 0 0 - 2 0.1111 0.4444 4.00 3 0.0278 0.0278 1.00 P 0.6111 0.6803 1.11 5 62 P 0.5000 0.6803 1.36 7-21 4 2 52 E 0.1154 0.4962 4.30 l 0 0 - 2 0 0 - 3 0.0385 0.7690 2.00 P 0 0 - 3 9 E 1.6667 6.5000 3.90 1 0.6667 4.0000 6.00 2 3.0000 22.0000 7.33 3 0.4444 0.5278 1.19 P 0.3330 0.2500 0.75 4 5 E 0 0 - 1 0 0 - 2 0 0 - 3 0.2000 0.2000 1.00 P 0 0 - 5 56 P 0 0 - 7-29 1 2 20 E 0.1000 0.2000 2.00 1 0 0 - 2 0.5000 5.0000 10.00 3 0.2500 0.6184 2.47 P 0 0 - 3 2 E 0 0 - 1 0 0 - 2 0 0 - 3 0 0 - P 6.0000 2.0000 0.33 4 9 E 0 0 - 1 1.0000 9.0000 9.00 2 1.7800 28.4400 15.98 3 0.4400 1.0278 2.34 P 2.8890 6.1110 2.12 5 43 P 1.7200 4.7290 2.75 8-3 2 2 9 E 0 0 - 1 0.2220 0.4440 2.00 2 0.8889 0.6111 0.69 3 1.6670 2.2500 1.35 P 2.1110 11.8611 5.62 84 TABLE 20. (continued) #CLUMPS LIFE DATE SAMPLED STRATA n STAGE MEAN VARIANCE VAR/MEAN 8-3 3 9 E 0 0 - l 0 o .. 2 2.0000 7.2500 3.63 3 1.3330 1.7500 1.31 P 10.6667 181.5000 17.02 4 9 E 0 0 - 1 0 0 - 2 0.7778 1.9444 2.50 3 0.6667 1.0000 1.50 P 10.8890 72.6111 6.67 5 43 P 2.6512 21.8992 8.26 8-12 1 2 35 E 0 0 - 1 0 0 - 2 0 0 - 3 0.2000 0.6941 3.47 P 0.1429 0.2437 1.71 3 10 E 0 0 - 1 O O - 2 0 0 - 3 1.2000 4.4000 3.67 P 11.1000 122.3220 11.02 4 22 E O 0 - l 0 0 - 2 0 0 - 3 0.1818 0.2511 1.38 P 7.7273 28.8745 3.74 9-1 2 2 33 E 0.0910 0.2727 3.00 1 0 0 - 2 0 0 - 3 0 0 - P 0.3939 1.4962 3.80 3 15 E 1.2667 9.2095 7.27 1 1.6000 12.8286 8.02 2 1.8000 20.3143 11.29 3 0.6667 4.3810 6.57 P 11.0000 115.8570 10.53 4 30 E 0 0 - 1 0 0 - 2 0 0 - 3 0.0667 0.1333 2.00 P 12.8670 41.5678 3.23 5 31 P 2.0645 18.0624 8.75 85 Assuming these data to be poisson distributed, the probability (P(r)) of finding r individuals per sample is given by Pielou (1977) as: Ar A _ §__ ‘X P(r) r! e (30) where: Q expected mean e base of the natural logarithms For detection purposes, this function can be rewritten to calculate the probability (P) of finding at least one organism, probabilistically one minus the probability of finding zero organisms in N samples (Rue- sink and Haynes 1973). P = 1 - e (31) Lampert (1976). solving Equation 31 for N (Equation 32), was able to directly calculate the maximum possible value of the population mean for any given sample size (N) and the level of confidence (P). x = -lnél - P) (32) Using Equation 32 with a 95% level of confidence, the maximum possible value of the stratum 1 mean (N = 100) is 0.03. The true value of the mean may lie well below this level, but no tighter upper limit can be established without drastically increasing the sample size (N): there- fore stratum 1 is considered to have a maximum possible density of 0.03 onion maggots per onion thoughout the entire season. The remaining strata (2-5) each contained non-zero data elements, thus the computation of means and variances was trivial. Each stratum was analyzed separately for the immature stages (egg-pupa) as well as for the cumulative immature population. Analysis of variance was per- formed on the logarithmic transformation of these data for each sampling 86 data and the pooled sets to determine if the assigned grades truly represented meaningful strata. Significant differences were found among the strata in every analysis with the pooled multiple range test (Student-Newman-Keuls: a = 0.05) for the cumulative immature population showing complete separation of the class means. Table 21 gives the stratum means and the multiple range tests of the pooled data for each life stage and cumulative immature population. Specific life stages are found occurring more frequently in some strata than in others (i.e., first instar larvae rarely occur in strata l, 2, 4, and 5, while typically abundant in stratum 3). Since strata definitions were based on the evolution of damage through time, it was expected that these life stages would require different levels of stratification. 0f significant importance is the stratum loading of the egg stage, whose density is approximately 20 times greater in stratum 3 (damaged onions) than in any other strata. The stratum loading indicates an ovipositional preference for previously damaged onions and is believed to be a key factoriklthe population dynamics of this insect. As the age structure of the population changes throughout the season, the expected differences between stratum densities are not always apparent due to low levels of specific life stages. For exam- ple, the sample taken on July 21 revealed no significant differences between any stratum due to the recent emergence of the second genera- tion adults (Figure A-3). Since individual sampling dates all possess bias due to the existing age structure, the data sets pooled across sampling dates are believed to best represent the stratum loading for 87 TABLE 21. Means and multiple range tests (Student—Newman-Keuls) for each life stage by strata (1-5) calculated from sampling data pooled across the entire growing season. LIFE STAGES STRATA MEANS & GROUPINGS 0.0300 * 0.0646 1.2946 0.0324 0 9) Eggs Ulb¢brord mmo'm 0.0300 0.0162 0.6822 0.0567 0 First Instar m.b(»tora mmo‘mm 0.0300 0.0283 1.0465 0.5182 0 Second Instar Ulabwwl-d 0700079: 0.0300 0.0606 1.0078 0.3239 0 Third Instar Ulb»uik)h‘ 0:0me 0.0300 0.0363 2.1163 1.5263 1.2026 Pupae mwaH ()0me 0.0300 0.2059 6.1473 2.4576 1.2026 Cumulative Population tn.b(»rola mantra: *Means with the same letter are not significantly different (P = 0.95). 88 each life stage and their cumulative total. Even though sampling pre- cision varies somewhat due to the population's shifting age structure, stratum weighing, if based on yearly averages, should drastically in- crease the precision over simple random sampling. Cochran (1963) gives the mean of a stratified sample as: Ystrat = wth (33) and the variance of the mean as: I: 2 var({(strat)gi‘12:{fair-'3“ (34) h where: L = number of strata Wh = proportion of stratum h (§?) nh = sample size of stratum h n = total sample size §n = mean of stratum h Sh = standard deviation of stratum h Setting the standard error of the mean equal to a fixed percentage of the mean (a) we obtain Equation 35. 2 n = (z )2(h-1whsh) (35) (ai)2 The optimal allocation of n for each stratum (nh), assuming equal sampling costs per stratum, is given by Cochran (1963) as: W S _ h h opt (nh) — n (XS ) (36) h The calculation of the total number of samples n and its allocation be- tween strata (nh) is dependent on the stratum mean (§ STRAT), its standard deviation (Sh), and its size as a proportion of the total sample universe (Wh). When sampling apriori knowledge of W can be h easily gathered using damage sampling techniques similar to those 89 presented on page 41, but apriori knowledge of both u and $2 is expen- sive and time consuming. Instead of time specific estimates, prede— termined expected values can be used. Substituting yearly averages for expected values is one possible solution to this problem and will be used here to demonstrate the increased efficiency of sample strati- fication. If sampling is done frequently through time, a more efficient method would be to use sample estimates of §h and 8; calculated from the most recent sampling date. To evaluate the effects of within field aggregation on sampling procedures, analysis of variance was also used to test between clump differences for each life stage. Analyses were made on the stratified and unstratified data sets. As the total number of analyses exceeded 50 tests, the third instar results which clearly represent the trend seen in every life stage will be presented. In the unstratified analysis, significant differences were found in the per onion density of each life stage between damage clumps. Inclusion of the onion strata in the analysis (two—way ANOVA life stage x strata x clump) clearly showed that between clump differences were due to the onion strata and not the physical clumps. Table 22 shows the results of five two-way analyses of variance for the third instar population. In all cases, using the above stratification scheme, the between clump differences are non-significant. Clumps of damage can be described as being composed of varying numbers of onions belonging to each of these strata, and their use as control variables clearly helps elimi- nate excessive variation between areas. TABLE 22. Analysis of variance table for third instar larvae by clump and strata. 90 SOURCE OF SUM OF MEAN DATE VARIATION SQUARES DF SQUARES F SIGNIFICANCE 6—23 Clump 1.180 4 0.295 1.741 0.141 Strata 27.068 2 13.534 79.900 0.001* Error 50.816 300 0.169 6—30 Clump 0.810 5 0.162 1.367 0.236 Strata 14.513 2 7.257 61.245 0.001* Error 41.115 347 0.118 7-7 Clump 0.518 7 0.074 1.201 0.302 Strata 4.231 3 1.410 22.912 0.001* Error 19.514 317 0.062 7-21 Clump 0.037 3 0.012 0.265 0.851 Strata 1.210 3 0.403 8.547 0.001* Error 5.429 115 0.407 8-3 Clump 0.598 1 0.598 2.913 0.093 Strata 10.184 3 3.361 16.374 0.001* Error 13.343 65 0.205 *P < 0.01 91 The variance of the mean, for the third instar larvae and the total immature population, was calculated based on simple random sam- pling, stratified proportional sampling, stratified optimal sampling, and yearly average stratified sampling. To estimate sample allocation based on yearly averages, log variance-log mean regressions were used to estimate the variance to mean relationships for each immature life stage and the cumulative immature population for each stratum. For some combinations, the re- gressions of the various life stages per stratum showed no statistical differences, the data then being pooled and a more generalized model fit (Figure 25: variance to mean relationship of eggs, first and second instars in strata 2 and 3). Table 23 lists the regression statistics for each life stage by stratum, adjusted as suggested by Bliss (1967). The yearly means (Table 21) can be used in their respective regression equations of Table 23 to estimate their expected variances, which are in turn used in Equation 36 for the determination of sample allocation between strata (nh). These values, along with Wh (calculated from Tables 19 and 20) and the sample estimates of § STRAT and S2 STRAT were used in Equation 34 to calculate the actual variance of the mean stratified by the yearly averages. The results (Tables 24 and 25) are presented in terms of the standard error to mean ratio for easy comparison. As the tables indicate, stratification is always more efficient than simple random sampling, and stratification based on yearly averages is always better than proportional stratification, but rarely approaches the precision of optimal allocation. As mentioned earlier, preliminary L00 VRRIRNCE FIGURE 25. 2.00 LP; 1 0.80 1.20 1.60 0.40 92 U I I T 1 ' I T 1 -0026 0000 0026 0050 LOG HEHN T ”0050 l -0076 Variance to mean relationship of eggs, and first and second instars in onion strata 2 and 3. 93 .wumeflumm ou wumu oou ucmbm a 68.0 n mm.o om.o mmm.o u :oflumasmom o.~xo.m fl :.~X¢w.N h.nxmm..m o.~xmm.m fl 0>fiUMH3=BU 48.0 n osm.o 688.0 o.~xo.m u 8.2me.H 6.2xam.a . mmmum Hausa mam.o ham.o nam.o n 4 5.1084 _.zx~n.m 1.3xms.m u umumcH ounce om.o om.o om.o . . «.2xm>.m . umumcH umuflm om.o mmm.o u . : ~.nxm>.m .:.~xm.oa u wwmum mom a u u m a a u n u a n n s u N n I a n u m.: n u n I u u u I ..m.: n u mmomem mqu n mamaem .Esumuum £000 MOM woman >n mwzmcofiumamu I A>v moc0flum> I Axv :me MOM mcofluwsvm Cmemwuowm .mm wands 94 TABLE 24. Comparison of third instar sampling precision using simple random (SR), proportional stratification (Prop), yearly average stratification (Ave), and optimal stratification (Opt) sampling in strata 1—5. DATE 0_ 0_/x x x 6-23-77 SR 0.000211 0.28 Prop 0.000161 0.24 Ave 0.000112 0.20 Opt 0.000064 0.15 6-30—77 SR 0.000147 0.31 Prop 0.000129 0.29 Ave 0.000095 0.25 Opt 0.000054 0.19 7-7-77 SR 0.000366 0.45 Prop 0.000243 0.36 Ave 0.000108 0.24 Opt 0.000043 0.15 7—21-77 SR 0.000246 0.36 Prop 0.000220 0.34 Ave 0.000190 0.32 Opt 0.000077 0.203 7-29-77 SR 0.000938 0.49 Prop 0.000661 0.41 Ave 0.000556 0.37 Opt 0.000128 0.18 95 TABLE 24. (continued) DATE 0 0_/x XI )4 8-3—77 SR 0.002768 0.43 Prop 0.000576 0.20 Ave 0.000223 0.12 Opt 0.000084 0.08 8-12-77 SR 0.000943 0.46 Prop 0.000793 0.43 Ave 0.000427 0.31 Opt 0.000135 0.18 9-1-77 SR 0.000939 0.73 Prop 0.000865 0.71 Ave 0.000415 0.49 Opt 0.000229 0.36 96 TABLE 25. Comparison of total immature pOpulation sampling precision using simple random (SR), proportional stratification (Prop), yearly average stratification (Ave), and optimal stratification (Opt) sampling in strata 1-5. DATE 03 0_/§ x x 6-23-77 SR 0.002150 0.35 Prop 0.001150 0.25 Ave 0.000230 0.11 Opt 0.000080 0.07 6-30-77 SR 0.000901 0.30 Prop 0.000487 0.22 Ave 0.000193 0.14 Opt 0.000064 0.08 7-7-77 SR 0.003141 0.31 Prop 0.002207 0.26 Ave 0.000567 0.13 Opt 0.000126 0.06 7-21-77 SR 0.014377 0.53 Prop 0.009540 0.43 Ave 0.001840 0.19 Opt 0.000410 0.09 7-29-77 Sr 0.036990 0.31 Prop 0.025760 0.26 Ave 0.008090 0.15 Opt 0.001598 0.06 97 TABLE 25. (continued) Opt 0.000574 DATE 0_ o_/x x x 8-3-77 SR 0.117968 0.29 Prop 0.060899 0.21 Ave 0.013086 0.10 Opt 0.003210 0.05 8-12-77 SR 0.048080 0.34 Prop 0.021790 0.23 Ave 0.003540 0.09 Opt 0.000729 0.04 9-1-77 SR 0.062014 0.31 Prop 0.016720 0.16 Ave 0.002783 0.06 0.03 98 sampling to estimate 52 STRAT or utilization of data from recent sam- pling periods could more efficiently allocate the samples between strata, thus approaching the precision achieved with optimal sample stratification. The allocation of samples is heavily weighted toward stratum 1 (approximately 80% for proportional allocation and 70% for average allocation). The large area covered by this stratum necessitates a high proportion of the samples allocated even though the mean value is always low (0.03). The calculation of n, total samples (Znh), for a moderate level of precision (a = 0.2) yields extremely large values (approximately 2,000 for third instars and 500 for the total immature population). Approximately 70-80% of this sample is allocated to find extremely rare individuals in stratum l where no non-zero observations were recorded all season and a "maximum" possible density is known to be below 0.03. Due to the extremely low density found within this stratum and its effect on the overall sample size, the sampling sta- tistics will again be calculated with the stratum 1 onions framed out of the sample universe. Tables 26 and 27 list the variance of the sample mean and the standard error to mean ratio of the samples for the third instar larvae and the total immature population respectively. In most cases the standard error to mean ratio is reduced, but more importantly, the number of samples necessary to predict the population mean of strata 2-5 at the same level of precision (a = 0.2) was re- duced approximately 50%. Using density estimates calculated only from strata 2—5 and then weighing those estimates by the proportion of the total universe 99 TABLE 26. Comparison of third instar sampling precision using simple random (SR), proportional stratification (Prop), yearly average stratification (Ave), and optimal stratification (Opt) sampling in strata 2-5. N DATE 0_ O_/x x x 6-23-77 SR 0.00210 0.15 Prop 0.00150 0.13 Ave 0.00080 0.09 Opt 0.00030 0.06 6-30-77 SR 0.00130 0.09 Prop 0.00100 0.07 Ave 0.00070 0.06 Opt 0.00020 0.03 7-7-77 SR 0.00102 0.41 Prop 0.00080 0.36 Ave 0.00051 0.29 Opt 0.00018 0.17 7-21-77 SR 0.000747 0.50 Prop 0.00060 0.45 Ave 0.00050 0.402 Opt 0.00030 0.312 7-29-77 SR 0.00440 0.51 Prop 0.00410 0.48 Ave 0.00400 0.47 Opt 0.00090 0.22 TABLE 26. 100 (continued) DATE 0_ 0_/§ X X 8-3-77 SR 0.01281 0.24 Prop 0.00940 0.21 Ave 0.00930 0.20 Opt 0.00120 0.07 8-12-77 SR 0.01031 0.40 Prop 0.00900 0.37 Ave 0.00770 0.35 Opt 0.00190 0.17 9-1-77 SR 0.00670 0.73 Prop 0.00610 0.69 Ave 0.00200 0.40 Opt 0.00090 0.27 101 TABLE 27. Comparison of total immature population sampling precision using simple random (SR), proportional stratification (Prop), yearly average stratification (Ave), and optimal stratifi- cation (Opt), sampling in strata 2-5. DATE 0 f 0_/52 x x 6-23—77 SR 0.030200 0.13 Prop 0.018900 0.11 Ave 0.010400 0.08 Opt 0.003530 0.05 6-30-77 SR 0.010340' 0.14 Prop 0.005868 0.10 Ave 0.004150 0.09 Opt 0.001365 0.05 7-7-77 SR 0.015250 0.21 Prop 0.011235 0.18 Ave 0.005624 0.13 Opt 0.001595 0.07 7-21-77 SR 0.061100 0.49 Prop 0.041366 0.40 Ave 0.012673 0.23 Opt 0.004250 0.13 7-29-77 SR 0.235670 0.23 Prop 0.195450 0.21 Ave 0.180640 0.20 Opt 0.045000 0.10 102 TABLE 27. (continued) DATE 0 O /x XI X 8-3-77 SR 0.972525 0.17 Prop 0.680664 0.15 Ave 0.578580 0.13 Opt 0.179570 0.07 8-12-77 SR 0.491043 0.17 Prop 0.300240 0.14 Ave 0.211651 0.11 Opt 0.055690 0.06 9-1-77 SR 0.656786 0.12 Prop 0.279454 0.08 Ave 0.220135 0.07 Opt 0.062090 0.04 103 they represent, allows density estimates of the total universe to be made. Figure 26 shows the per onion density of both onion maggot pupae and the cumulative immature population in the Grant, Michigan test field. Abundance curves for the earlier life stages will not be pre- sented because the sampling interval used in this study was too large to estimate their age specific densities. This interval does not effect the point estimation of density or the methods presented in this section, it merely eliminates the ability to evaluate total incidence through time. To make abundance curves for the earlier life stages, the sampling interval must be reduced at least to the length of the developmental stadium in question (see Appendix A on temporal distri- bution for developmental data). Biological Monitoring Periodic assessment of the biological components (host plant, pests, parasitoids, etc.) within an agroecosystem is essential for the development and implementation of crop management programs. Crop loss assessment as well as effective pest management systems are two such programs that are highly dependent on effective biological monitoring schemes. Biological monitoring programs are typically goal oriented, with a given objective or set of objectives firmly defined at the onset of the project. To meet such objectives, which can be quite broad in scope, it may be necessary to utilize a series of specific sampling techniques simultaneously or sequentially through time. Sampling meth- odology is usually very specific in orientation and statistical inter- pretation. Coordination in the use of such techniques and trade-offs 104 .c0mmom qcfi3oum whoa 0:0 new popuon coflumHsmoa Hope» 020 Hogan .om mmDon 8108/810008" NOINO N83“ 820:... :2. ~22 w>¢o z¢_4:w omu ova emu oww o—N cow om“ o3 a: F . . . F . b L P . b L .0 o . DEE 22238.. DEE Tm lo .9 rmo 9 [0 r 10 i. 105 between their breadth, precision, and economic costs must be closely evaluated in terms of the objectives of the overall biological moni- toring program. Construction of a biological monitoring program for onion maggots in Michigan could take innumerable forms depending on the specific objectives at hand. The possibilities range from small plot damage estimation to regional density estimates of the insect itself, both of which can be accomplished using variations of the same sampling techniques. For pest management purposes, the needs of an immature onion mag- got monitoring program are extensive and provide an excellent example of how several sampling techniques can be structured to work towards common goals. In Michigan and other northern states, onion production is pri- marily limited to organic soils. As formation of these soils typically occurs in old lake and river beds, (Davis and Lucas 1959) its geograph- ical distribution is highly aggregated, thus producing similar patterns in muck grown crops such as onions. A characteristic organic soil production region is the Rice Lake area near Grant, Michigan. This muck area, an old lake bed, contains approximately 9 square miles of organic soil and is farmed by numerous growers. Figure 2 provides discrete boundaries of the muck area and shows those field which were planted in onions during the 1976 and 1977 growing season. The onion maggot, an obligate pest of Allium spp., is found at- tacking onions throughout the Grant growing region. Few, if any, 106 Allium spp. are present in the surrounding areas; therefore, the onion maggot population is primarily limited to commercial onion fields. As adjacent fields are controlled by different owners, their management policies, including onion maggot control, are usually inde- pendent of one another. In contrast, onion maggot damage seems to occur over a broader area, being unrestricted by actual field bound- aries. Figures 27 and 28 are contour maps showing second generation onion maggot plant damage over the entire Grant region for 1976 and 1977, respectively. The maps were constructed using the data as listed in Appendix B with contour lines drawn through points of equal damage. Each contour line represents the number of injured plants per 1 meter section of row (approximately 23 onions per meter). These maps indi- cate onion maggot damage as a regional problem with adjacent fields showing similar density levels. The adult onion maggot is highly mobile (Loosjes 1976); therefore, movement between surrounding fields needs to be considered when designing and executing onion maggot man- agement strategies. Metcalf and Luckman (1975) stress the need for development of pest management systems which operate at the ecosystem level, taking into account the total pest population, its full effective range, and other major factors affecting its survival and development. These principles are presently being researched at Michigan State University (Haynes et a1. 1977) and it has become obvious that to effectively develop management strategies for the onion maggot, its density through- out the total region is of key importance. In Grant the area necessary for consideration is clearly the entire nine square mile muck region. 107 ___Az FIGURE 27. Contour map of onion maggot plant damage in Grant, Michigan 1976. 77777 109 The true onion maggot densities of every onion field within a region would give complete knowledge to base management decisions on. In reality, the absolute densities are impossible to acquire, thus sampling estimates must be substituted. As previously described, data collection for estimating the absolute immature onion maggot density is quite expensive and quickly becomes prohibitive when sampling mul— tiple fields. An alternative approach to intensive sampling for absolute densi- ties in every field is the construction of a hierarchical sampling system. By using a less comprehensive sampling method initially, the total sampling universe can be divided into portions of variable in- terest. These subunits can then be dealt with in more specific terms without impinging unnecessary methods, thus cost, on the total universe of concern. Using plant damage as an indicator of actual immature onion mag- got densities, a regional survey involving every field within a region, can be used to identify fields above and below a predetermined critical density level. Field level plant damage sampling techniques give the number of subsamples per field necessary for precision estimation at the field level. Extraction of 10-100 foot plant damage subsamples per field allows a damage density as low as 3% to be estimated with a precision range of approximately 3.0. The exact time involved in completion of a regional sampling program is dependent on the size of the region and can be estimated from Equation 25. Using ten 100 foot samples per field, the approximate completion time per field is less 110 than one hour, thus requiring approximately 25 man hours to sample a growing area the size of Grant, Michigan. Fields revealing damage levels below the level of interest should then be eliminated from the sampling universe. Those fields showing higher densities should be more closely evaluated using the extensive sampling techniques for estimation of actual immature onion maggot densities (see pages 80 to 102). A total biological monitoring program for onion pest management or even for onion maggot control may have many more components than the above example, as many more biological entities are sure to be involved (Haynes et al. 1977). With the addition of more components, the costs of the monitoring system quickly inflates, thus coordination or structuring of the system to meet multiple objectives simultaneously is manditory. Biological monitoring is much more than a simple sampling proce- dure. It is a management system divised for optimization of specific biological data collection given standard sampling techniques, re- stricted resources, and a set of closely defined objectives. SUMMARY The spatial distribution of the immature onion maggot was evalu- ated at various geographic levels. Aggregation or clumping was found to predominate from the regional distribution of plant damage between fields down to the distributional pattern of the maggot within damaged onions. The negative binomial frequency distribution was utilized to describe the majority of the observed sampling data. Although the NBD typically fit quite well, no KC or common aggregation coefficient was indicated above the within clump level. A common K was found for the actual onion maggot counts within areas of damage, but it is not known if the pattern holds between fields. Ovipositional attraction was tested and preference for rotting and/or rotting and infested onions was found to exist. These experi- mental results are heavily supported from independent field data which shows a 20-fold increase in egg density on previously damaged onions over adjacent healthy onions. This behavioral biology in combination with the spatial pattern of initial plant damage is felt to play a key role in the mode and the distribution of onion maggot attack through- out the season. Sampling techniques were developed for estimation of both onion maggot induced plant damage and actual age specific onion maggot den- sities. Two stage sampling techniques were utilized for determination of the optimal sample unit size and the optimal number of samples to 111 112 be drawn for precision estimation of regional onion maggot plant dam- age. Sampling costs, evaluated in terms of time units, were also measured and incorporated into the overall analysis. A similar anal- ysis followed for determination of the optimal sampling methods for within field plant damage sampling. As with the preceeding section, sample unit lengths, sample sizes, and sampling costs were all evalu- ated. Stratified random sampling techniques were used in the develop- ment of sampling methods for age specific onion maggot density estima- tion. Stratification was based on visual plant damage symptoms pro- duced by onion maggot larvae feeding in the onion bulb. A comparison of age specific sampling using simple random sampling, proportional stratification, yearly average stratification, and optimal stratifica- tion clearly showed the utility of the techniques: sampling precision was increased while it reduced the number of samples actually extracted. Development of more comprehensive biological monitoring programs was discussed in general terms, stressing the differences between standard sampling methodology and the more inclusive objectives of a biological monitoring program. An example program for regional onion maggot density estimation, using a hierarchical sampling scheme, was also presented. This study was designed to address several questions relating to immature population monitoring of the onion maggot. It is hoped that these findings will serve future researchers in their studies pertain- ing to the population biology and eventually the population management of this insect pest. APPENDICES All Data Files in the following Appendices can be found in a User Permanent File, 7-track tape, VRN=UP1200. APPENDIX A Temporal Distribution The onion maggot is multivoltine with a variable number of gen- erations found throughout its geographic distribution. In Michigan, typically three generations per year are noted. The females exhibit a cyclic ovipositional pattern and remain gravid over an extended period of time (Missonier and Stengel 1966). This extended oviposi- tional activity allows an overlapping of life stages and under some conditions an overlapping of generations. Although the temporal distribution is not the main thrust of this study, population phenology is important in various types of entomolog- ical studies. It is believed that the inclusion of such information will aid in future interpretations of this study and will develop a better understanding of the onion maggot biology as a whole. Developmental Zeros and Heat Accumulation Requirements: Numerous observations concerning the developmental rates of g, antiqua have been made under a variety of laboratory and field condi- tions. Ellington (1963) reviewed the literature concerning this area and tabulated the results. Finding the existing data inconsistent, Ellington conducted laboratory experiments to define the developmental rates for eggs, larvae, pupae, and preovipositional adults at various 113 114 constant temperatures. The data presented by Ellington was in the . 0 form of days for development for a series of temperatures (50 , 600, 70°, 80°, and 90°F). Additional developmental data was obtained through the University of Guelph (Ritchey, personal communication 1977). The data consisted of mean days for development of the egg, the first, second, and third instars and the pupal stage given six temperatures (50°, 54.50, 590, 65.5°, 68°, and 77°F). To determine degree-day accumulations it is necessary to first establish lower limit thresholds, below which no development occurs. Threshold determination is typically done by plotting percent develop- ment per day over a range of temperatures, finding the point at which the regression line crosses the x axis, and defining that point as the lower threshold. The accuracy of this method depends on two major assumptions: 1) that the data (original or transformed) is linear, and 2) that the test temperatures include or approach the suspected minimum develop- mental threshold. Both data sets used a low temperature of 50°F (100 higher than the suspected threshold base). Since the range of extrapolation is large, care must be taken in the use of regression analysis. Regres- sion analysis was performed on the linear portion of the data to ap- proximate the base temperature (Figure A-l). Another method, standard error determination (Casagrande 1971) was also used to estimate the base temperature. This method uses several temperatures bracketing PERCENT DEVELOPMENT/DRY 115 3RD INSTRR ONION HRGGOTS fi-i T l T 30 4o 50 60 70 80 90 TEMPERATURE (F) FIGURE A-l. Regression method for determination of developmental base temperature for third instar larvae. 116 the suspected true base temperature for calculation of degree-day accumulations. Standard errors are calculated for each base tempera- ture (Figure A—2). The minima of the standard error function deter— mines the base temperature that best fits the given data set. The short developmental stadiums for the egg, first instar and second instar necessitate very short periods of time between samples if the data is to be used for threshold determination. Ellington's daily sampling was not precise enough to use for such calculations. The longer third instar and pupal stadium did provide suitable data for this analysis. Table A-1 presents this data along with the mean and its 90% confidence limits. Mean degree—day accumulations for the egg, larval (first, second, and third instars), pupal, and preovipositional adult stages are listed in Table A-2 along with their sources. Ellington's data for instar l and instar 2 was omitted because of low sampling frequency. Population Maturity Fulton (1973) discusses several methods for evaluating population age distributions or maturity through time. The weighted mean instar (WMI) maturity scale was extremely useful as the population age struc- ture is represented as a single number. Weighted mean instar is calculated as in Equation A-l. t . t P _ WMI = , i 1 Ni/. PiNi (A 1' 1:1 1=1 where: Pi proportion of total developmental stadium spent in life stage i 2 II number of individuals in life stage i number of life stages being evaluated 117 64 1 4 380. INOTRRS STRNDRRD ERROR (Sy) 2 1 cga °°‘ 240. tusmns .J O ‘ I ' T fl T i T ' I '7 r ‘r 1 24 20 32 36 4o 44 40 52 DEGREE-DRY BHSES (F‘) FIGURE A-2. Standard error method for determination of developmental base temperature for second and third instar larvae. 118 TABLE A-l. Developmental base temperatures of third instars and pupae. Using U. of Guelph's Data Third Instar Pupae Linear regression 39.0 42.1 Standard error analysis 39.5 41.0 Using Ellington's Data Linear regression 37.5 37.0 Standard error analysis 36.0 38.0 i = 38.76 s = 2.06 8x = 0.728 t90% = 1.86 § with 90% confidence limits 38.76 i 1.37 119 couwcfiaam u m cmawsw mo auflmum>flcb n w Anomav coumcflaam 0cm smamsw mo auflmH0>HcD u m 0 I O 0 0 I x N mm ha 0H m0 4m mv 4 HH m 04 m um 0.mmH 00.0mm 00.00m 00.00H 00.50 00.00 20m: . . u c m mmBA00< O m madman mmdemzH U m ummemzH 0 m wademzH u H mwwm .uomme coeco onu mo mommum TMHH msoflum> MOM Amomm u 0mmnv mucmamnwsku >mplmmummp c002 .NI¢ mamde 120 Computation of WMI for the immature onion maggot population (0 = E, l = first instar...4 = pupa) from the data collected in Grant, Michigan is plotted along with the mean adult activity trap catch. from the same area (Figure A-3). Adult population phenology has been evaluated using degree days by several researchers (Eckenrode et al. 1975, Libby unpublished, and Vail unpublished) and has been suggested as a method to help time adult control measures (Eckenrode et al. 1975). These studies, conducted in New York and in Michigan, report similar degree-day requirements for peak adult flight activity (Table A-3). Although the heat accumulation between these peaks corresponds closely with that necessary to complete a full generation, care must be taken when predicting second and third generation emergence. This method does not account for major population time shifts due to mor- tality. Figure A-4 shows the expected adult activity peak (arrows) using the degree-day model of Table 21 (Michigan values). As the figure clearly indicates, large deviations from the expected peaks can be noted. This deviation from the expected is thought to have been caused by high immature mortality early in the growing season. Larval damage was expected as early as 700 degree—days (initial emergence and preovipositional period) but was not encountered until 1650 degree- days, well in excess of the required accumulation. The hot dry con— ditions which persisted through the early growing season, in combina- tion with the granular insecticide placed at planting, were presumably 121 .cmmflcoflz .ucmuu :w whoa 00m m>mp cmfiadh umcflmom poquHQ Mmumcfl c005 poucoflm3 paw £0000 soup uHSUm :00: .MId mmaon 53034. >._ 2 ><<< 5:? g w>¢0 chnap 00w 0¢N ONN 00w ecu — _ p — P cod 0: owu p — — AU P P HUISNI NUBN 031H013M Z Z Hz: H3180 dUUl N83” 122 .cmmflnowz .ucmuw EH whoa new m>mp 000000 umcflmmm p0uuoHQ umumcw 000E p0u£0fi03 0cm £0000 amuu waspm :00: .vl< mmsuHm h. ommumwcm w>¢0|mm~8m0 moo. comm coon 000w ooow 003 003 com 0 . . . p . _ . p L r . . . _ . 0 M. . a a: 1. :4 mw .1 Thu ”H l p . J . m” 901 In“ “N u m. u" 1 v n" m .1 n: c. .5 WW ..... o .. no 0 . . U m 7.. i i ( um H :5 . rm. * ¢ * U 9 r0 123 TABLE A-3. Average degree-day accumulation for adult onion maggot activity peaks from New York and Michigan. (Eckenrode et a1. 1975, and Vail unpublished). lst GENERATION 2nd GENERATION 3rd GENERATION LOCATION PEAK PEAK PEAK New York 0 710 1900 3150 base = 40 F Michigan 670 1710 2920 base = 39 F 124 responsible for the high mortality rates. Shifting the expected second and third generation peaks by this 900 degree-day deviation (stars) explains the majority of the observed deviation. In summary, phenology models which operate on developmental rates exclusively must be used with caution; critical deviations from the expected are possible. With the inclusion of environmental mortality or on-line monitoring such models could produce more reliable results. APPENDIX B Introduction Current onion maggot control strategies consist of a granular soil insecticide at planting for control of larvae and directed foliar sprays for control of the adult flies. Michigan recommendations (Cress et al. 1976) call for one of three currently registered granular soil insecticides (Dansanit, Dyfonate, or Ethion) to be applied at planting. In addition to these recommendations a warning was issued which states: Dansanit has given erratic control for the past year or two, particularly in the Grant area. Growers are advised to use maximum rates and correct applications. Dansanit gave spotty control in several fields which were composed of various mixtures of Martisco, Houghton, Edwards, Deford, and Tawas muck soils (soil types determined from Mokma and Whiteside 1973). Although the damage was not quantified within or between fields, local onion growers and county extension agents felt that a significantly higher amount of onion maggot damage was found in connection with tiled drainage ditches and fields high in marl content. Edwards, Martisco, and Houghton mucks are all found overlaying a marl base. Marl, a highly alkaline material, is also found in areas of the Grant swamp. Fields composed chiefly of Martisco mucks (marl less than 16" from the soil surface) are usually avoided for onion production, but both Edwards-Martisco combinations (soil type E, Mokma and Whiteside 125 126 1972) and Houghton (HM) mucks are used extensively in Grant, Michigan for onion production. The fields containing the marly drainage ditches in question were composed mainly of Edwards and Houghton mucks (marl 16" to 54" from soil surface). These tile lines were visually apparent in the field and appeared as whitish-gray strips 3 to 4 feet wide and extending the majority of the field's length. The color differential is due to the calcium carbonate particulate matter found within the strips. The material was lifted from the underlying marl base at the time of tile installation and was mixed throughout the trench backfill. Speculation by both Dr. Don Cress, vegetable extension entomolo- gist (Michigan State University) and Bob VanKlompenberg, district extenstion horticulture agent, suggests that the increased alkalinity within these marly strips causes an acceleration in the chemical de- gradation of the acidic reacting insecticides. An acceleration of the chemical breakdown could account for increased onion maggot sur- vival in such areas, thus explaining the 1974-75 observations. Methods A project was designed in the spring of 1976 to test the hypothesis of early chemical degradation in high alkaline tile line ditches using population damage as an indicator. The experimentation was conducted in the Rice Lake muck area near Grant, Michigan where many of the initial observations concerning this hypothesis were first noted. In 1976, the initial year of this project, Dansanit was removed from the market in the formulation registered for use in onion maggot 127 control. Most growers replaced Dansanit was another organophosphate insecticide, Dyfonate. Dyfonate was never cited in the 1974-75 obser- vations of damage in marly soil. However, because the chemical reac- tion of the two insecticides in the soil is thought to be similar, it was felt that this study should continue (Cress personal communication 1976). Within Field Analysis A field in section 10 of Grant Township (Field #10, Figure B-l) which was composed primarily of Houghton muck, was selected for the within field experimentation. The field was chosen for three reasons: 1) the field was noted in 1975 as having moderately high damage levels from the onion maggot with a substantial over-wintering population known to exist for the 1976 growing season, 2) some of the preliminary observations concerning the hypothesis in question came from the adjoining fields, and 3) the grower was willing to allow the removal of onions from his field for sampling purposes. The field was tiled in a north—south direction with a drainage canal on the southern parameter of the field. Existing tile lines could easily be located. As expected, the location of the tile lines coincided with the whitish-gray marl streaks visible in the field. The onions (downing yellow globe) were planted parallel to the drainage tile extending north from the canal approximately 1/4 mile. The onions were planted in six foot bands consisting of eight rows per band with a 1 foot tractor break between each band. A broadcase ap- plication of 300 pounds per acre of potash was placed before planting 128 .cooecoflz .ucopo op Emma poo whoa :A pdeEow opeoflw t3:0 .Hum mesoee JJIIJIIJ mm mm mm 0N mm VN mm mm hhma MN NN Hm ON ma 0H ha 0H ma Va ma whoa ON ha OH vH NH HA 0" O‘OHN HHH HNMQ‘WOI‘m pwdeMm mvawfih 129 and then supplemented by a within furrow application of an 8-32-16 fertilizer mix with 3% Manganese at the rate of 600 pounds per acre. Dyfonate was also applied as a within furrow application at the rate of 15 pounds per acre. Two sample plots were laid out with respect to tile line location and areas of the field. Plot A was an onion band exactly overlaying an existing marly tile line, while plot B was equal distance from two such lines, thus making a nearly independent area with respect to the marly areas. Both plots were 200 feet in length and were kept 200 feet away from the edge of the field to avoid any edge effect in the distributional pattern of the maggot. Ten one—row meter long samples of onion plants were randomly removed from each plot four times during the growing season. These plants were examined for onion maggot damage and the percent damage was calculated. In addition to the plant damage samples, ten soil samples were collected within each plot at the time that significant damage was first noted (July 1, 1976). These samples were submitted to the soil testing lab on campus where the analysis was performed. The soil parameters measured were pH, phosphorus, potassium, calcium, and magnesium. Between Field Analysis Between field sampling was also carried out in connection with a regional monitoring program. The objective was to compare field damage estimates with field soil types as given by Mokma and Whiteside (1973). The soil types analyzed were: 1) MF/CM (muck overlaying shallow 130 sand), 2) CM (muck 16" to 51" deep overlaying sand), 3) E (Martisco- Edwards muck 0" to 16" deep overlaying marl), and 4) HM (Houghton muck 16" to 51" deep, overlaying marl). For detailed descriptions of each soil type (MF, CM, E, and HM) see Mokma and Whiteside (1973). Twenty three fields were sampled in 1976, and 17 fields were sampled in 1977 (see Figure B-l). Fifty random samples (1 meter in length) were taken in each field. The number of damaged and healthy onions in each sample was recorded along with notes concerning any special observations (i.e., occurrence of other diseases, special soil conditions, heavy wind damage, etc.). Results Within Field Analysis: The sample results from the within field damage were analyzed as paired sets through time. The null hypothesis Ho: u = “B with the A alternative hypothesis H1: “A # “B was tested for each sampling date. The results of these comparisons are in Table B-1. The null hypothe- sis (Ho: pl = 02) was easily accepted for every sampling date at the 95% confidence level (0 = 0.05). The results of the soil sample analyses conducted on July 20, 1976 are presented in Table B-2. The analysis of soil plots A and B closely followed the procedure set for the bioassays. Tests were con- ducted for each variable between plots A and B. The null hypothesis 11:11 0 A = “B was tested and accepted at the 95% level of confidence (0 = 0.05). 131 .m.z HOH.N 00mm.o 0.0Hv m.NHN Hm.hmm 0.NON US .0.z Ho0.~ mam.a o.oflpavm o.oooo0 o.0mvvbs o.emvo0 40 .0.2 Ho0.~ mm0.0 «.0040 o.o- o.eomm e.~om s .0.2 Ho0.m mmo.0 >0.om em.0m m.m0 0.00 m .0.2 Ho0.m ome.0 omoo.o o~.e vmoo.o 00.8 mm b x D x mo.o u o 00 I 00 N I N I . . . 1000000 ommsummv 100000 00020 009024040 002400002000 9 00040 a 040 m 9000 a 9000 .00000 000200 0:000 00000 000003 000 00 0000080000 0000 000000500 00000I9 .mIm mqmda .m.z 00H.m 00.0 00.0 m0.H no.0 00.0 HIm .m.z HOH.N 00.00 mm.m 00.0 mv.H 00.0 HIm .m.z Hoa.m 0 0 0 0 0 Hun .0.2 000.0 0 0 0 0 0 HI0 b x 0 x m0.0 u 0 00 u 00 N I m I A000000 c0030wmv A 0000 00020 0000 muzmuHm 20 . m B . 0 . H H0 8 MA 0 B H U m 904m < 904% .0500 :0 0000a 000500 00000 00000 000003 000 :0 0000000 :0000admom 000000600 00000IB .Hlm mamas 132 It should be noted that for soil pH at the 90% level of confidence, the null hypothesis could be rejected and the alternative hypothesis Hi: “a # “b accepted. As the predetermined level of confidence was set at 95%, the null hypothesis is still accepted. Between Field Analysis: The between field damage sampling analysis was more complex than the within field study due to the field distribution of onion maggot populations. Onion maggot damage appears in a clumped or aggregated pattern within and between fields. There are several reasons for this aggregated distribution of onion maggot damage: 1) the irregular- ity of chemical insecticide application at planting (missing of spots within the application area), 2) the variability of abiotic factors enhancing survival (soil moisture levels, etc.), 3) the ovipositional attraction of gravid females to previously infested and/or rotting onions, and 4) the higher survival rates of larvae attacking previously damaged onions. This clumping or aggregation causes problems in the application of parametric statistics such as Analysis of Variance. The sampling data fit a negative binomial distributions with no common K (see pages 24 to 42). By using the transformation log (x + 1), many negative binomial distributions can be normalized and the assump— tion of the analysis of variance met. Due to the high aggregation of the onion maggot population under these field conditions and the low population densities found in many of the sampled fields, these data could not be normalized, which rules out the use of parametric statis- tics. 133 Several non-parametric statistical tests are available for anal— ysis of such data. The Kruskal-Wallis one-way ANOVA was chosen (Siegel 1956, and Nje et al. 1975). The analysis examined damage levels and soil types within each year and in the two years pooled. Table B-3 summarizes the data of that analysis. Although some other differences are noted throughout the analysis, the one soil type that is significantly different (0 = 0.05) throughout every test is soil type B. This soil type was found having significantly lower damage levels (see Table B-4) than the other soil types examined. Soil type CM was found low in damage during 1976, but had higher damage esti- mates in 1977 and its mean rank was readjusted. Conclusion The paired bioassay analyses of the marly tile area versus the area between tile lines indicated no damage difference between the plots throughout the growing season. Moderate damage levels were noted in many areas of the field and visual observations of those damaged areas showed no noticeable preference for marly areas. The soil analysis performed indicated there was little difference between the plots in the parameters that were measured. Many of the other unmeasured micronutrients may actually be more important in the breakdown of a soil insecticide. If the bioassays would have in- dicated a significant difference, more intense soil analyses and chem- ical testing would have been pertinent. The between field analyses seem to indicate an effect opposite that which was expected from the hypothesis in question. The soil 134 0 zoImz zoIzm omma 0009 00:00 0000000: 000000 00.0 hv.0v v.m00 v.0mm v.0m0 m.m00 0000 0>oc< 0031000 hhu0bma m zoImz z: .00 ome 0009 00:00 00000052 00.0 00.mm 0.00m 0.0mm h0.maw mn.wvm 00> 0>o:¢ >03I0co hhma mo.o u o 0 so am zoImz omaa 0009 00000 0000000: 00.0 0.00 m.0m0 mam.m 0.000 m.mm0 000a 0>oc< >03I0co 0500 moz0 000800 0:0HQ 000005 000:0 000 «>024 >03I000 0000031H0x050M .MIm mamme 135 TABLE B-4. Ordering of ranks (onion maggot damage) by soil type for the Kruskal-Wallis ANOVA of Table B-3. SOIL TYPES AND ORDER OF MEAN RANK (1 = high) YEAR ...................... MF-CM CM E HM 1976 1 3 4 2 1977 3 1 4 2 1976-77 3 2 4 1 Pooled 136 type highest in marl content seemed to consistently show lower damage levels than any other soil type examined. Overall, this study seems to indicate that areas high in marl concentrations did not increase the insecticide decomposition rate to a level detectable by natural population difference. Grant Onion Maggot Survey Data 1976 Field Number Soil Type (1-4 as defined in methods section) N F ) d l e .1 Fl / S S e t l n p a m l a P S .d P e e g t a e m m a D l _ : : 0 STDI. (SD CDDA76ONIONFIELDDAMAGE (9X,I2,3X,Il,3X,IZ) FN ST DP FN ST DP ST DP FN 222227.22222220&22222222220122220d20522222222222222 2042222223333331.333333333333331.33333333333333333 99032100000000IUOOrUOOrUrUrU000000010010000000101000 11!112222222222222222222222229.22222222222222222 1...!11229.222?.227.22222222an22220426522229.205227.22222 10.10038u2n4ugro3022000u000359.u521111122u0102nfiu2123 11111111111111111111111111.111111111111111111111 1111111111111111111111111111111111111111111111 137 138 1976 Grant Onion Maggot Survey Data (continued) 333333333333333333333333333333333333336)33333333333305. 000000OOOOFJOOOO210201OO1O000100000001000110210000000 01222222222223?)333305.333333333333333333333? 33333333333 139 1976 Grant Onion Maggot Survey Data (continued) 889990, 99999999999990]9999999999990. 9999999999999999999 33331111111111111111|11111111111111111111111111111111 33333331.3333333333333337331J333333339- 33333333333333333 6660667777777777777777777777777777v77777777777777777 1976 Grant Onion Maggot Survey Data (continued) 10 1O 10 1O 1O 10 1O 1O 1O 10 1O 1O 10 10 10 10 10 1O 1O 10 1O 1O 10 10 10 1O 1O 10 10 10 1O 10 1b 10 1O 1O 1U 1U 10 10 10 10 1O 10 10 1O 1O 1O 1O 10 11 11 u .. 1:34:42 mmsnazzzzzzzzn-zzz:zrzzzztzczzzzzzzzcz4:224:32:- (2.5.1? —-I—§ 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 140 . OJOOOO-bOC’OOU‘NiVCCONWC‘GO—‘OCCOOC‘ONOOOOOOOOOOOOOO—‘COOOOO 12 12 12 12 12 12 12 12 12 12 19 12 12 19 b 12 12 12 12 12 12 12 12' 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 53:41:74: mmwmmmzzzzzzzzzzzzzzz32:52:22::rzzzzzzzzzzzzzzz N 1976 Grant Onion Maggot Survey Data (continued) 13 13 13 13 13 13 13 13 11 -J—8A-A—h—J—b-JNNNNNNNNAJNN[UNNNNNNNNNNNNNNNNNNNNNR)N.UNNIUNNNNN AOOOOOOOOOOOOOOCOtOCOOO—i—bOOONOWOIVOOOOOOCOOOOOOOOOOOO 1L1 111 1L1 1L1 1L1 1L1 111 111 111 111 1L1 1L1 111 1L1 121 1L1 1L1 1L1 111 111 111 111 111 111 1L1 111 111 1L1 1L1 111 1L1 1L1 1L1 111 111 111 111 111 1a 1L1 121 1L1 15 15 15 15 15 15 15 15 15 15 NNNNNNNNNMAAAAAAAAAAAAAAAAAAAAAA_.s_a_a_;_s_s_s_;_4_.s_sd_a_s_a_s_s_a_a_; 141 NNNNNNNNNNNNIUNNIUNN1UK1NNNNNNNNNNNNIVNIUNIUNNIUNNIvNNIUNNNNNN OOCOOONOOO-‘OOOOOU‘AOCOOOOOOCOOWNOOOOOOOOOOOOOOOC‘CWN-‘O ' d 1976 Grant Onion Maggot Survey Data (continue ) 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 NIUNN.UNN1\J NNNNNNIU lUf\)1\)1\)Nl\)l\) \JNlUNNN \)l\)f\)&)1\)|\)l :31\)|\)|\)1\)I 333333 33:34:: , OOC OC-JO-‘OC—b NNOO-‘ON COOOCO ONIJOOO 1 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 1'7 17 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 142 "‘ «1:34:53: 32:34-4‘: 3:42.534: 4: “42.233332235523333 A—I-J—J—b—b—A—é 4. A—J-J-J—bd—tu-A O—‘C‘w O-AOOOwO L'OOOOOO COSOO—IOC‘O—JOOOOOOC‘O .30»- , OOOONU‘O OOOOOC‘O Add—:44...) _.s_s_.|._s._s._n_s._h_a _.|_s_a_s._|_a_.|_a__| ._|_.L._L_b._t_.s__|_s 34:53:54 1:53:47: 3:47:55: O-A-‘O ozwoz—so . OOOONNO OOOOOOC-fi OwOOOO—b OOOOCOO NOOOOO OOOOOO 1976 Grant Onion Maggot Survey Data (continued) NNNNNNNNNNNNNNNNNNNIUJ:1:34:31:35:55:233353523353334:23:33 O—‘OOOOC‘OOOOOOOOC‘OOOOOOfiOOCddwodOOW—bOOOOOWOOOOOdO—IOO-é 20 20 2O 2O 20 2O 2O 2O 20 2O 20 20 20 20 20 2O 2O 2O 2O 20 20 20 2O 20 20 20 2O 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 ’21 21 21 143 2 #2::33334:332:33:txtt-z-B’NNNNNNNNNNNNNNNNNNNNNNNNNNI'UNN 21 21 A 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 . mmmmmmmmmmmmmmmmmmmmmmmmzzzxrzzzzz:zzzzzzzzzxrzzzzzn:4:4:- OO—J—‘OOOOOON—‘OOUJOANOOO'JOC‘C‘OOOOOCOOCOOOO—‘OOOOCOO—‘OOO—‘OO 144 1976 Grant Onion Maggot Survey Data (continued) m I X 3 ,UAU,U,U,UAU.I,UAU,U”U,UAU.U“UrUAUA2ru“UAUnUAUAUrU.I “no;nu,U.UFU,UAUAUAU.UAUnUnUnUnUnUnUnUAUnU U no u 22222222222222222222222222 2pT33333333333333333333 Q6 I QJQJQJQJQJQ.232525QJQJQJQJQJQJQJQJQJQJQJQJQJ3 3,UnU XHN u.u.u.u.u.u.u.u‘u.u.Ozo/o/QJo/QIQJQIQIQ, 9.9.9.92929.9.929.929.22122222222212“2222222222 9 P. a .T. a@ pm vJD em .UAUAUAUrUAUnUnUAU,U.UAU.U,UAU,U,UrUnUAUAUAUAUAUAUnUnU,U mummw.U,U“UAU“UnunuAU”UAU.U,U,U,UAU,UAUAUAU.U UF Sm 9.9.9.9.9.9.9.9.9.9.7_Q_9_9_9_929.92929.929.929.92929292 +.T.W“5)?)QJ25239)a;239353QJQJQJQJQJQJQJQJQJQJ mom 7 3333333333333333333333333333 87N44444444444444444444 9.929.929.92/_9.92 2:29.929./_2.21222n2n2n2n2n2n2n2n2a2 aam_f MUD C n O .l n no pl A2AUHUA2nunUAU.I“Un2rofl2hqu.l,U.2,U,UnurunU,UnU,UnUnU,U +L nuAUAUAUAUAU“UAU“UAUAUAUPUAU.UAU“UAUAUAUAU n m T 22222222222222.22222222222222 G 8339,33333333333333333 9.9_?_9_92927.2 9.9.2 2_/_ .222225212222 2.22212 2A2 2A2 N”nwnwuvu.u.u.u.uwu.utn.u.u.u.u.u.u.u.u.u. n2n2 2:2 2 2.2.2 222222222 212 2222222, 2 2.222222222 at 1977 1977 Grant Onion Maggot Survey Data (continued) __s_.;_s_;_s_s_.a_a_a_s OOOOOOOOOOQQOOOOOOOOOOOOQ -| C.‘ _L_s_.s_.s_s_s_.|_.s_s_|_s_a_s_.s__s_;_s_a..s_s..|_s_s_.s_s_.r OOOC’OOOOOC’OOOOOOOC‘OOOOCOOOCOOOOOOOOOOOOOOOOOOOOOOOOO 1O 10 1O 1O 1O 1O 1O 1O 1O 1O 1O 10 1O 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 145 NNNNNNNRDIU[\1[\1|\)I\)1\)1\31\)l\\|\)1\)l\)IUN|\1|\)R3NR1K3R1NNNNNIVR3K3R3NSSS-fitttkczttk JOOOOOOOC‘AGO—‘OOOOO—boOOONOOOOWOO401UO—‘OOOO—‘OOOOOOOCOOO 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 19 12 12 12 12 111 111 111 1a 1L1 1L1 1L1 111 1L1 111 111 1L1 111 111 1L1 1L1 d-J—as—A—A—I—b—J—b—8--|--b—I-|—I>—-‘fit-l:J?12:32:53.1:fizzc'ztz-C’E£334:1\)|\)I\)I\JNI\3NNNNR) 146 1977 Grant Onion Maggot Survey Data (continued) 14 1 0 16 2 O 17 u 0 1L; 1 0 1o 2 o 17 u 0 1M 1 0 16 2 O 17 u 1 1h 1 0 16 2 O 17 u 0 1H 1 O 16 2 O 20 2 0 1M 1 0 16 2 0 20 2 1 14 1 3 17 u 0 20 2 1 14 1 O 17 u 0 20 2 2 16 2 0 17 H 2 20 2 3 16 2 O 17 u 1 2O 2 1 16 2 1 17 4 O 20 2 O 16 2 0 17 14 0 2O 2 O 16 2 0 17 H O 20 2 1 16 2 0 17 u 0 20 2 O 16 2 O 17 M 0 2O 2 O 16 2 O 17 u 0 2O 2 0 16 2 U 17 H O 20 2 O 16 2 1 17 h 0 20 2 0 16 2 O 17 u 0 2O 2 O 16 2 0 17 u 0 20 2 O 16 2 O 17 4 ,0 20 2 1 16 2 1 17 11 0 2O 2 U 16 2 0 17 u 0 20 2 O 16 2 O 17 4 0 2O 2 O 16 2 0 17 M O 20 2 1 16 2 O 17 14 0 2O 2 0 16 2 1 17 11 2 2O 2 O 16 2 O 17 H 2 20 2 0 16 2 0 17 3+ U 20 2 0 16 2 0 17 u 0 2O 2 1 16 2 1 17 H 1 2O 2 O 16 2 O 1'7 N O 20 2 O 16 2 O 17 11 0 2O 2 2 16 2 1 17 u 0 2o 2 0 16 2 1 17 u 0 20 2 1 16 2 0 17 N O 20 2 8 16 2 1 17 H 0 20 2 1H 16 2 0 17 u ' 0 20 2 2 16 2 0 17 U 0 20 2 0 16 2 0 17 U 3 20 2 1 16 2 2 17 u 3 20 2 1 16 2 1 17 H 2 2O 2 O 16 2 O 17 u 0 20 2 3 16 2 0 17 N O 20 2 O 16 2 O 17 H 0 2O 2 1 16 2 0 17 u 0 20 2 0 16 2 O 17 H 0 2O 2 O 16 2 O 17 11 O 20 2 0 16 2 o 17 l: o 20 2 o 16 2 0 17 N 0 20 2 1 16 2 O 17 4 0 2O 2 0 1977 Grant Onion Maggot Survey Data (continued) 20 2O 2O 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 [\1NNNNN1VIVNNNNNNR)1\)1\)I\JI\)1\)|\)1\)IUNR1I\)I\11\3I\)I\3NNNN1\)1\)N1\)N1\)1\)NN1\1NNNNNIUN1\1 OOOOOOOCOON-‘OOO—‘OOCOCOOOCOOOO—A-fi—i-‘O[VA—IOWUW—‘WN-l—‘OOOOOOC‘ 22 23 23 23 23 23 23 23 23 23 23 23 23 23 23 147 HNNNNNIVIUIU[UNNNNIVNNNIVNNIUNNNI’UNNNIVR‘NR1R1NNNNNNNNNIVNIVNNNNNN OOOOOOCCOOAOOOOOOOO—‘OOOOOOOC‘OOO-‘OC‘OOOOOOOOOOOOOOOOOO 211 211 211 211 211 211 211 214 211 214 2’4 214 211 214 211 211 211 211 211 214 2’4 214 211 211 211 2’4 211 211 211 2’4 211 211 2’4 211 2’4 211 211 2’4 211 211 211 211 214 211 2’4 211 211 211 25 25 dédédéd—k—J—h—I—ld—é—Q—fi—Q—IAAA—JAdd—J—Q—I—b—I—I-A—Iu—k—J—AA—I—h—A—I—b—Ad—J—JAAJAAJ OOOOOOCO-‘OC’OOOOOOOOOOOOOOOOOOOOOO—‘OOOOOR’OOO—‘NOOOOOOO ontinued) t Onion Maggot Survey Data (c 1977 Gran 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 u—J—J-J —|--§—-‘ -—. A A A—A—J—A _3 A —‘—-|_. —. é-J—n. —‘ d Add A-‘ d—J—J A—J—fi NNNR1|UJ 0000 00000 OO—fi—IO OOOOO OOOCOOOOOOOOOO 'OOOO OOOOC OOOOO COO—3d 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27 27 148 NM [VIVN’IVN NEUNIVN NNNNN NNIUNN 1NNN1VN ‘NNNIVR NNNNR NK1NNN NNNNN NNNNIU O U‘OCO-b OOCOJ ' WO-AOO OOOCO OOOUUO OOOOO (DIVO-AN wowmo OOOO‘O -‘1\>OOOUO NNNNN \H\)I\)u\)l\) )NNNNNI i\>Nl\)I\)l\ mmmmmmmmmmmmm mmmmm mmmmm wwww wwwww Div—3CD OR‘OC‘N Ol\10w—| OOO—I—s OwOWOOCOOCOOO OOOO—b , COOOO OOOCO OOCOO 1977 Grant Onion Maggot Survey Data (continued) 28 28 28 28 28 28 23 28 28 23 28 28 28 28 28 28 29 29 29 29 29 29 COOOOOOOWOOIVOOOOOOCDOOO 29 29 29 29 29 29 2Q 29 29 29 149 WWWWWWWgflWWWWWWWWWLJWWWW OOOOOOC’OOOOOOOOCOOC‘OOO wwwwwwwwwwwwwwwwwwwwww OCOOOOOOOOOOOOOOOOOOOO APPENDIX C Regional Plant Damage Sample Data (REP = Replicate, DIS = Distance, OBS = Observation) Bravo 5/26/77 - 6/2/77 CDDAOMSURVEYBRAVOTl (12,13,12) REP DIS OBS REP DIS OBS REP DIS OBS 1 60 1 h 92 5 2 75 1 2 o D 5 64 1 2 8M 1 3 o o 6 3n 3 2 97 2 u 25 1 7 o O 3 6 1 h 96 2 8 o O 3 12 1 5 o o 9 59 8 3 24 2 6 9o 2 9 68 10 3 25 2 7 o 0 10 o o 3 27 2 8 D 0 1 o o 3 3n 1 9 28 1 2 50 6 3 39 3 1o 10 1 3 o 0 3 52 A 1 o 0 u o o 3 6o 1 2 o 0 5 o o 3 6n 2 3 O O 6 2H 5 3 66 1 b O O 6 28 2 3 68 1 5 O O 6 29 2 3 7O 1 6 o 0 6 3o 1 3 96 1 7 O 0 6 31 1 A o o 8 O O 6 38 8 5 1 1 9 O O 6 60 6 5 1o 1 10 o 0 6 61 6 5 32 3 1 o o 7 0 o 5 33 2 2 o o 3 o 0 5 90 3 3 0 0 9 o 0 5 100 1 A o 0 10 o o 6 2 1 5 o o 1 7 1 6 7 1 6 O U 1 37 2 6 28 1 7 o O 1 60 u 6 he 3 8 0 o 1 6h 1 6 80 2 9 O O 1 7h 1 7 76 2 10 o o 1 86 1 7 79 2 1 o o 1 90 3 8 9 1 2 0 0 2 8 2 8 3o 2 3 10 u 2 16 1 8 M3 1 3 8M 10 2 26 2 8 8M 1 u 6 5 2 27 2 9 3H 1 5 us 2 2 u3 3 9 6n 2 N 68 10 2 M6 3 9 95 1 u 88 7 2 M8 1 10 5a 1 150 151 Regional Plant Damage Sample Data (continued) 6/2/77 - 6/7/77 Grant (12.13.12) CDDAOMSURVEYGRANTTl SOOOOOO2O.UO1OOn/_hfi0000000 u._000000300070052_U0.UOOO0 890123u5678901nd314567890 1 All All 03.“...“3rorhvr0boq143.011400100100 03h5hvr07390qg 0 003003600 510.06 0.0 Q... . 9. Huh. 7. 0,0, .4 1 00000000UOOOOalrQOOOaIOn/brCQJ? 00000000UOOOOgrdnUOOOOndnCO? 5 .10 4138 1.QaiJu.RJho7.Qoo/no1.9.2;h.R1h671QJQ/no1.1.1.1. 4' 1| 5/31/77 - 6/15/77 Lapeer (IZ,I3,I2) CDDAOMSURVEYLAPTI 112011111u1¢11112200111rd 09. 00“? 071 «4134171008 27.. 88 1117.31.45 8 7| “.3 .b0 (078 99 2.6 OOOOOOOOOU.OOOOOOOOO11 11 23u5078901n43u5.b789011 1| 1| OOOOOOOUOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOO 17.3.4r9578901n43145678901 41 1| Regional Plant Damage Sample Data (continued) 7 8 9 1O 1O .4 O 4.1.4.4.)..- __‘ kWNNd-J-J—‘d-d444—3100OOOOOOOOOOOOOOOOOOOJDJ)Q-Qowzwm-‘O O O O 13 61-1 77 86 I. O O 100 O O 80 100 110 L11 1 38 39 1 4O 6O 61 67 71 75 81 9O 91 92 93 16 211' 25 26 51+ 60 711 L1 36 66 67 68 69 7O 71 914 100 ’42 99 O 118 Noggggaa—bafl—Am-xl—tK3-J—‘Nr-fifi‘o—‘NW—‘K-AUJK1—‘K1-J—‘N—3-JdK‘OO—‘OOW—‘N-JAOOO 152 51-1 52 98 100 36 96 2O 28 32 116 88 22 2‘2 214 28 30 311 36 116 5O 58 60 611 72 78 88 9O 82 98 6 8 MRS-am—bwwtO—I—‘NAN-ANt-A—bw-A—b—le—sdamawklwWK14aam—s1vwr—sm—s—s—smrvo... 9 16 10 1O 1O 1O 1O \OCDNO‘UT.EJUR?dd—‘COCDNO‘U‘f'wmdooommWNOvU‘U‘U‘tNWN ..|_s_.| 000 10 10 100 36 38 110 62 80 22 68 22 7L1 1+6 51. 811 611 ad—‘WNOOOOOO-‘CJN—‘dOOOOOOC-OAOON—b—S—IUONO—bxlNO—é-AOdw—I—b—b—IN—b—t-A 153 Regional Plant Damage Sample Data (continued) Tricounties 6/10/77 6/6/77 — (12,13,12) CDDAOMSURVEYTRITI OOOOOOOOOOOOOOUOOOOOOOOO0000510000241Ond2213321u13 00000000000000UOOOOOOOOO.UOOO1OOOOOM30AJQQJ1 5.1 15 1n In.5678901rd3u5107890123u5.10730.01nd3195678890000.0000000 «1 1| 1 14.111114111111411 0000OOOOOOOOOOOOOOOO0000000000010000000000000220 000000000000000000000000060.0000anOOOOOOOOOOOOOfiwO 7890123“5.b78901nd3u5107890123..“567890123856789012Fd3 4|. 1| 1| all 1| oondnUOOOOOOndnCOOOOOOOOOn/TUU00000000n¢190000000000000 n u 123u5.b7-8901123h5678901”(3195.1078901233u567890123u56 «1 1.. 4| 1 154 Regional Plant Damage Survey Data (continued) 7/7/77 Bravo (I2,I3,12) CDDAOMSURVEYBRAVOTZ 000000000550000058 00.000000001OOOOOAIO “U. 50, ..b78901a/...3195510789000 41 411111 79.9.9.0000000000000000 ”OOOOOOOOOOOOOOOOO 1. 069. 146 788010123u51078901ud3|45 1| 4|. 1|4l| 23852.918590125002d38980 1.1.1.1.L.U.RJQquOJO/O/ 414124 11111122rd2fi423ur3555r96 7/20/77 7/19/77 - Grant (I2,I3,12) CDDAOMSURVEYGRANTTZ 00000.UOOOOOOOOOOOOOOOO.UOO OOOOOUOOOOOOOOnUOOOOOOOUOO b789012385.678901nd3u567890 1| 41 1| 0000000OOOOOOOOOOOOOOOOOO 00000006000OOOOOOOOOOOOOOO 1231a.Sbfl-80;0123.u.5678901123u.5 «1 1| 02.20.1361.O210.UOOIH~/.OOOOOO1IO 00005800000000 7-00 0 1| 1.rial“.55556778901223u567890 41 1| 155 Regional Plant Damage Sample Data (continued) (12,I3,I2) CDDAOMSURVEYLAPTZ 7/13/77 — 7/22/77 Lapeer 3125ndu111,1032221|2262~C2211.121111211/011111u1113132111 ”01u025n50225.5u. 5:130 0U.01U.9.U.Q102U. 257573.50) 1140u6 0208 89 111659 2L». :778 955 111:3 5.0106889 22333 “L456 100 “.IH55555555.b.b6.00.06666677..88Q.8888888888888999999999 nun69au.9.?49.9.9.9.1.L.Ru1.1.1.1.RJKJ1.1.QJ1.1.1.1.1.1.1.R1921.1.1.QJQJ1.1.1.9.9.9.92U.9.9.9.1. 12070.46 80 2.“. 1112 102 0:8 0.7.00 21414 14555 510781 20 0 2: La. 36 689 7 90111111111111111112hdnd9.7.29.7.2222222222,/.»/_33333U.U.14r4 1 000000000000000000000.0000000000000000.00000000000 000000000000000000000000000000000000000000000000 17.3“5Au7890123.45.57.59019.385.578901r43u56789019....555678 1 1 1 1 156 Regional Plant Damage Sample Data (continued) 0000101111.U101111111121131.40 “U 7 89 2 000450,.‘5uubflah5.b_b7-0 9 11:2 2333“““66 9 4| 1| 003u210200001105000n451110000 3827. u 25 2 830.“.0 4|. 1| 567788901”d3uuu567899001nd3h56 1| 1|1| 332..”6119—31122212301300111113 2 001...“..0288 "(9333.14 Tricounties 7/6/77 — 7/20/77 (12,13,12) CDDAOMSURVEYTRITZ OOOOO.UOOOOOOOOOO OOOODUDODOOOOOOO 3h567890123u5ro78 1: 0000000000000000 0000000000000000 7890123..“56789012 1| 1 1.000000000000000 3000000000000000 1n/_3.h.5.078904|23u.5ro 1| 157 Regional Plant Damage Sample Data (continued) 0O0000000000000OOOOOOOOOOOOOOOOOOO 00000000HUD00000000nU000000000000000 78901nd3|95ro7890123Ju5678901~43u5.67890 1| 1| 1 1| OO0000000000000oonofluOOOOOOOOOOPUoooo 00000000000000OOOOVOOOOOOOOOOOOOOOO 3.“.5.ID78901I2A0101010101010101010101010101010101uwuwuwuwuwuwuwuwuw01010101010101010101010101 _L_s|\)(n_aAdd—SadaodaAAAAAJAAAAJAAAAAAAAAAAAW”Wam(n(n(.)_s_s_a(n_g(n OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOWOOOOOOOOOL‘OOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OONOOCOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOC‘O 170 OOONNOOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOR)OOOOOOOCO c>c>—-c>—sc>c>c>c>c>c>c>c>c>c>c>c~c>c>c>c>c>c’c~c~c~c>c>c>c>c>c>c>c>c>c>c>c>c~c»c>c>c>c>—ac>c>c>c>c>c~c> .650 .725 .790 .875 .960 .051 .126 .221 .311 .461 .581 .706 .811 .891 .971 .136 .211 .301 .371 .456 .546 .631 .711 .796 .866 .956 .036 .136 .196 .306 .376 .471 .541 .641 .721 .796 .866 .956 .000 .178 .293 .464 .055 .140 .306 2.466 2.707 2.782 2.948 3.303 3.374 NNNNN NMN-J—A-JONNNNNNNNNNNN-Jd—A—‘d—t—b—b—I—s—I—s 064 042 018 .049 .561 .589 .567 .570 .600 604 .609 .587 .615 618 570 547 600 603 H \J p.» Age Specific Data (continued) 181 6 1 0 0 0 0 0 3.464 -.032 181 6 1 0 0 0 0 0 3.549 -.031 181 6 1 0 0 0 0 0 .047 .535 181 6 3 0 0 0 0 1 .298 .538 181 6 3 0 0 0 0 1 .368 .539 181 6 3 0 0 0 0 1 .463 .565 181 6 3 0 0 0 0 1 .539 .541 181 6 3 0 0 0 0 1 .629 .593 181 6 1 0 0 0 0 0 .960 .546 181 6 3 0 0 0 0 0 1.065 .547 181 6 3 0 0 0 0 0 1.185 .549 181 6 1 3 0 0 1 0 1.306 .551 181 6 2 0 0 0 0 3 1.456 .552 181 6 3 0 0 1 0 0 1.771 .607 181 6 1 0 0 0 0 0 2.283 .512 181 6 1 0 0 0 0 0 2.388 .539 181 6 1 0 0 0 0 0 2.388 .513 181 6 3 0 0 0 0 0 2.709 .518 181 6 1 0 0 0 0 0 2.950 .521 181 6 1 0 0 0 0 0 3.065 .547 181 6 1 0 0 0 0 0 3.150 .523 181 6 1 2 0 0 0 0 3.256 .524 181 6 2 6 0 0 2 0 3.401 .526 181 6 2 0 0 1 0 0 3.526 .553 181 6 2 3 0 0 3 0 3.642 .504 181 6 2 2 0 2 5 0 3.797 .557 181 6 3 0 0 0 0 0 3.952 .559 181 6 1 0 0 0 0 0 4.075 .050 181 6 1 0 0 0 0 0 4.140 -.055 181 6 1 0 0 0 0 0 4.216 -.057 181 6 1 0 0 0 0 0 4.291 -.034 181 6 1 0 0 0 0 0 4.406 -.O38 181 6 1 0 0 0 0 0 4.472 -.015 181 6 1 0 0 0 0 0 4.567 -.043 181 6 1 0 0 0 0 0 4.652 -.071 181 6 1 0 0 0 0 0 4.718 .003 181 6 1 0 0 0 0 0 4.798 -.025 181 6 1 0 0 0 0 0 4.878 -.028 181 6 1 0 0 0 0 0 4.964 -.030 181 5 1 0 0 0 0 1 5.084 -.009 181 6 3 0 O 0 0 0 5.205 .012 181 6 2 0 0 0 0 1 5.410 .006 181 6 1 0 0 0 0 0 5.646 -.001 181 6 1 0 0 0 0 0 5.802 .019 181 6 1 0 0 0 0 0 5.927 .040 181 6 1 0 0 0 0 0 6.053 .011 181 6 1 0 0 0 0 0 6.133 .034 181 6 1 0 0 0 0 0 6.218 .031 181 6 1 0 0 0 0 0 6.304 .003 181 6 1 0 0 0 0 0 6.454 -.002 181 6 1 0 0 0 0 O 6.570 -.005 181 6 1 0 0 0 0 0 6.655 -.008 Age Specific Data (continued) 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 181 _s...|_§_.|_.|_.|_b.;_s_n_.|ANdewwmwwWA_s_s_.\[\)_;[\)_a_s_¢_s_a_s_t.;_t_s_a._s._s_;_.s_s_;_s_s_;._|_s_s OOOOOOOOOOOONOCOOOOOOOOOOOOOU‘CDOOC‘OOOOOOOOC‘OOOOOOOOOO OOC’OOC’OOOOOOOOC‘OOONOOOC‘OOOOOC‘C‘OOOOOOOOOOOC‘OOOOOOOOOO OOOOOOOOOOOOOOCOC‘OOOOOOOOOOOOOOOOC‘OOOOOOOCOCOOOOOC’OO 172 OOOOOOOOOOOO—ba‘ocOOOOOOOOOOOOO—IOOOOOOOOOOOOC‘OOOOOOOOOC" OOOOOOCOOOOOOOC‘O-‘OW—‘d—iOOOOAOOOOOOOOOOOOOOC‘OOOCOOOOOO .735 .936 .046 .051 .147 .232 .423 .593 .679 .819 075 .056 .126 .217 .307 .402 .478 .558 .653 .724 .799 .894 .980 .080 .210 .421 .557 .712 .049 .134 .194 .269 .460 .646 .726 .801 .957 .404 .564 N440oooooooommmmmguzzzzz=23224fl44444<4400 (X’s) 0‘ 18:1.» UWUWUT 8. 445 8. 575 8.705 9.115 9.220 9. 305 9. 395 9. 505 9.705 .015 -.042 -.121 .030 .027 .024 -.004 .018 -.038 -.040 .006 .001 .502 .500 .523 .495 .517 .489 .512 .484 .481 .504 .501 .499 .495 .491 .485 .506 .515 .513 .486 .534 .477 .522 .519 .517 .537 .624 .594 .591 .587 .011 -.017 .026 .012 .016 .011 -.022 -.063 173 Age Specific Data (continued) 181 6 1 O O 0 0 0 9.800 -.007 181 6 1 0 0 0 0 0 9.880 .019 181 6 1 0 0 0 0 0 9.975 -.O14 181 6 1 0 0 0 0 0 10.070 -.077 181 6 3 0 0 0 0 0 10.160 -.021 181 6 1 0 0 0 0 0 10.250 -.024 181 6 1 0 0 0 0 0 10.690 -.040 181 6 1 0 0 0 0 0 11.070 -.054 181 6 3 0 0 0 0 1 11.220 .020 181 6 3 0 0 0 0 0 11.310 -.034 181 6 1 0 0 0 0 0 11.620 .014 181 6 1 0 0 O 0 0 11.750 .039 181 6 1 0 0 0 0 0 11.900 -.026 181 6 1 0 0 0 0 0 8.130 .649 181 6 1 0 0 0 0 0 8.230 .645 181 6 1 0 0 0 0 0 8.300 .642 181 6 1 0 0 0 0 0 8.395 .639 181 6 1 0 0 0 0 0 8.500 .605 181 6 1 0 0 0 0 0 8.655 .659 181 6 1 0 0 0 0 0 8.805 .683 181 6 1 0 O 0 0 0 8.925 .708 181 6 3 0 0 0 0 2 9.075 .673 181 6 3 0 0 0 0 0 9.155 .729 181 6 1 0 0 0 0 0 9.300 .724 181 6 1 0 0 0 0 0 9.390 .750 181 6 2 0 0 3 0 1 9.580 .684 181 6 1 0 O 0 0 0 9.840 .734 181 6 1 0 0 0 0 0 9.950 .759 181 6 1 0 O 1 0 0 10.060 .726 181 6 2 0 0 8 1 0 10.160 .752 181 6 3 O 0 0 0 0 10.280 .747 181 6 1 0 0 0 0 0 10.430 .682 181 6 1 0 0 0 0 0 10.530 .738 181 6 1 0 0 0 0 0 10.640 .734 181 6 1 0 0 0 0 0 10.720 .731 181 6 1 0 0 0 1 0 10.870 .606 181 6 2 0 0 0 0 1 10.930 .723 181 6 2 0 0 0 0 1 10.970 .781 181 6 3 0 0 0 0 0 11.080 .806 181 6 3 0 0 0 0 1 11.410 .765 181 6 2 7 0 0 1 0 11.890 .747 181 6 3 0 0 0 0 0 12.170 0.000 181 6 1 0 0 0 O 0 12.290 0.000 181 6 3 0 0 0 0 1 12.450 -.025 181 6 3 0 0 0 0 1 12.620 0.000 181 6 3 0 0 O 0 0 12.780 -.025 181 6 1 0 0 O O 0 12.280 .550 181 6 1 0 O 0 0 0 12.370 .525 181 6 1 0 0 0 O 0 12.470 .550 181 6 1 0 O 0 1 0 12.690 .525 181 6 3 0 1 8 1 1 12.780 .550 181 6 2 0 0 1 3 0 12.950 .525 Age Specific Data (continued) 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Ngwaaaaazmézzwm54Ad—JJzzmzzzaaazdwzzd:Naaaa-s-s-a-t-s-s-s—swz—L OOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOCOOOOOO OOOOOOOOOOOOOONOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO COOOOOOOOOOOOOWC’OOOOOOOOOOOCOOOOOOOOOOOOOOOOOOOOOOOO 174 OOOOOOOOOOOOOO—SC‘OOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOC‘O—AOOOO .050 .251 .462 .557 .732 .868 .978 .149 .199 .269 .390 .540 .645 .756 .816 .957 .102 .323 .463 .594 .714 .945 .231 .371 .587 .753 .933 .089 .234 .430 .580 .701 .791 .866 .952 .107 .328 .458 .599 .769 .950 .046 .243 .373 .444 .534 .634 .661 .841 .068 5.214 U1zzzz-BzzSWWWWWWNNNNNNNNddddd—‘WWWWWWNNNNNNNNNd—fid-J-J—h—b IIIIIIII 0000000000 3 U‘ \D .Il.l.ll. .2 12’ \O .547 .544 .516 .539 .511 .533 .530 .528 .527 .526 .524 .496 .518 .516 .513 .510 .533 -.507 -.509 -.536 -.512 -.513 -.641 -.388 -.517 -.469 -.522 175 Age Specific Data (continued) 188 1 3 0 0 0 0 1 5.355 -.524 188 1 3 0 0 0 0 0 5.637 -.476 188 1 4 6 0 0 0 0 5.748 -.453 188 1 4 0 0 0 0 c: 5.924 -.429 188 1 4 0 0 0 0 0 6.084 -.482 188 1 3 0 0 0 0 0 6.256 -.459 188 1 4 0 0 0 0 0 6.432 —.461 188 1 4 0 0 0 0 1 6.598 -.438 188 1 4 0 0 0 0 0 6.784 -.491 188 1 1 0 0 6 0 0 6.959 -.544 188 1 1 0 0 0 0 0 7.065 -.520 188 1 3 0 0 0 0 0 7.297 -.497 188 1 4 0 0 0 0 0 7.443 -.499 188 1 4 0 6 0 0 0 7.594 -.501 188 1 4 0 0 0 0 0 7.775 -.504 188 1 4 0 0 0 0 0 7.935 -.556 188 1 1 0 6 6 0 6 4.644 .455 188 1 4 6 6 6 6 0 4.245 .478 188 1 1 6 6 6 6 6 4.391 .476 188 1 1 6 6 6 0 C) 4.456 .475 188 1 4 6 6 6 6 6 4.597 .499 188 1 1 6 6 6 6 6 4.793 .446 188 1 1 6 6 C) 6 6 4.955 .494 188 1 1 6 0 6 6 6 5.675 .493 188 1 1 6 6 0 6 0 5.211 .491 188 1 1 0 0 0 0 0 5.347 .515 188 1 1 6 6 C) 6 0 5.488 .488 188 1 1 6 6 C) 6 6 5.553 .461 188 1 1 2 6 6 6 C) 5.644 .486 188 1 2 2 12 6 6 1 5.746 .510 188 1 3 0 0 6 0 3 5.916 .482 188 1 4 6 6 6 6 1 6.162 .505 188 1 4 6 c. 6 (1 6 6.278 .478 188 1 3 6 6 6 6 6 6.424 .501 189 1 ‘3 6 0 c) 0 6 6.505 .525 188 1 3 6 6 6 6 6 6.655 .473 188 1 3 0 6 6 6 6 6.746 .497 188 1 1 6 6 0 6 6 6.957 .469 188 1 1 6 6 0 0 0 7.068 .468 188 1 1 0 0 0 0 0 7.304 .465 188 1 1 0 9 0 1 0 7.385 .489 188 1 2 0 0 0 0 1 7.541 .512 188 1 4 0 0 0 0 1 7.762 .459 188 1 1 0 0 0 0 0 7.973 .456 188 1 4 0 0 0 0 0 8.093 -.479 188 1 4 0 0 0 0 0 8.254 -.460 188 1 4 0 0 0 0 0 8.410 -.490 188 1 4 0 0 0 0 0 8.565 -.496 188 1 4 0 0 0 0 0 8.766 -.529 188 1 4 0 0 0 0 2 8.912 -.509 188 1 4 0 0 0 6 1 9.688 -.491 188 1 4 0 0 0 0 0 9.249 -.547 Age Specific Data (continued) '188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 .2 NNNNNK’NNNNNNNNNNNN1UNNNNNNNNNIUQJ_I_A_s_.0_;_s_n_s_5_s.3_.n_s._|.a_s_0_s_s_s AAdazwwgamAt-b-deNAAA-bodN—sA—a—sggdAdmwdaazzwwww Ants—saga , O OOOOOOOOOOOOOOtOOO-JOOOOOOOO—‘OOOONONOOOOOOOOOOOOOOOOO "' OOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOCONO—AOOOOOOO4—OOOOO OOOO OOC‘OOOOOOOOOOOSOOOOOOOOOOOOOOCOIUOAOOOOOOOOOOOOOO 176 - OOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOCOU‘OOO-‘OOOOOOOOOOO OLA) OOOOOOOOOO—‘NNOOOOOOOOOAOOOOCONOAOOOOOOOOOOOOOOOW CC 9.394 9.505 9. 646 9. 776 9. 937 8. 093 8. 234 8 304 8.435 8.560 8.641 8.751 8.817 8.977 9.113 9 259 9.375 9. 485 9.565 9.671 9. 782 9. 977 0.000 .111 .221 .302 .548 .663 .794 .970 1.106 1.302 1.397 1.503 1.578 1.633 1.724 1.940 .045 .116 .206 .281 .377 .457 .553 .628 .935 1. 095 1. 251 -.527 -.531 -.512 -.517 —.473 .497 .516 .539 .484 177 Age Specific Data (continued) 188 2 4 0 0 0 0 0 1. 432 .499 188 2 1 0 0 0 0 0 1. 638 .509 188 2 1 O O 0 0 0 1. 688 .429 188 2 1 0 0 0 0 0 1. 704 .630 188 2 1 0 0 0 0 0 1.764 .423 188 2 1 0 0 0 0 0 1.809 .369 188 2 1 0 0 0 0 0 1.814 .571 188 2 1 O 0 0 0 0 1.889 .388 188 2 1 0 0 0 0 0 1.910 .589 188 2 1 0 0 0 0 0 1.965 .458 188 0 0 0 0 0 0 0 0. 000 0.000 188 3 4 0 0 0 0 0 .074 -. 444 188 3 1 0 0 0 0 0.193 -.500 188 3 1 0 0 0 O 0 .263 -.529 188 3 1 0 0 0 0 0 .328 -.505 188 3 2 5 0 0 1 0 .397 -.507 188 3 2 0 0 0 2 0 .482 -.536 188 3 3 0 0 O 0 0 .557 - 513 188 3 2 O 0 O 2 0 .627 -.489 188 3 1 0 0 0 0 0.701 —.492 188 3 1 0 0 0 0 0.771 -.520 188 3 1 0 0 0 0 0 .851 -.523 188 3 2 0 0 0 0 3 .931 -.526 188 3 3 O 0 0 0 0 1.005 -.502 188 3 1 0 0 0 0 0 1.055 -.478 188 3 1 0 0 0 0 0 L 100 -.558 188 3 1 0 0 0 0 0 L 115 -.428 188 3 1 0 0 0 0 O 1.160 -.560 188 3 1 0 0 0 0 O 1.175 -.378 188 3 1 0 0 O 0 0 1.214 -.588 188 3 1 0 0 0 0 0 1.230 - .432 188 3 1 0 0 0 O 0 1.269 - .563 188 3 1 0 0 0 0 0 1. 290 -.408 188 3 1 0 0 0 O 0 1. 354 -.489 188 3 1 0 0 0 0 0 1. 404 -.412 188 3 1 0 0 0 0 0 1. 459 - .492 188 3 1 0 0 0 0 0.051.518 188 3 1 0 0 0 0 0.116.516 188 3 1 0 0 0 0 0.181.513 188 3 1 O O 0 0 0 .260 .511 188 3 1 0 O 0 0 0 .330 .534 188 3 1 0 0 0 0 0 .405 .506 188 3 1 0 0 O 0 0 .475 .503 188 3 1 0 O 0 0 0 .535 .501 188 3 1 0 O O 0 0 .614 .498 188 3 1 0 0 0 0 0 .724 .494 188 3 1 0 0 O 0 0 .814 .491 188 3 3 0 0 0 0 1 .933 .487 188 3 2 2 0 0 O 1 1.048 .483 188 3 3 0 0 0 1 0 1.137 .506 188 3 1 0 0 0 0 0 1.262 .528 188 3 1 0 0 0 0 0 1.317.526 Age Specific Data (continued) 188 188 188 188 188 188 133 188 188 188 183 188 188 188 188 188 188 188 183 188 188 183 188 188 188 188 188 188 188 188 183 188 183 183 188 138 188 183 188 188 188 188 188 188 188 188 188 188 188 188 188 188 EKOWW mwmmu‘mmmmmmmozzzzzzzzzzzzzL-zzzztzzzzzzzzzzzzzz UW N—bwwwwNAAA—AOAA ' fizzzddzdzaadgaaamAAd a—s-a-azwwwwww—s-aczzzr: ' COCO OOOOOOOOOOOOOOOOOOOOOCOOOOOOOOOOOC‘OOOOOOOOOOOOOO OC‘OOO OOOOOOOOC’OOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOO OOC‘OOO OOOOOOOOOOOOOOOOOOC’OOC‘OOOOOOOOOOOOOOOOOOOC‘OOC’O 178 0000000 OOOOOOOOOOOOOOOC‘OOOOOC‘OOOOOOOOOOOOOC‘OOOOOOOOO C‘OC‘O OOOOOOOOO—e—‘OOONOéw—lOIUUUOONONOOOOOOOOOOOOOOOOOC‘COO 1.372 1.11117 0.000 .043 .103 .1911 .275 .386 .496 .582 .683 .789 .880 1.021 1.132 1.207 1.323 1.11511 1.580 1.731 1.857 1.968 2.01111 2.1311 .113 .466 .582 .668 .789 .925 1.106 1.263 1.439 1.590 1.757 1.933 2.099 0.000 .055 .136 .221 .311 .391 .467 .562 .652 .763 .953 1.048 1.144 1.244 0' O. 0' CO 0' A E; O 179 Age Specific Data (continued) 188 5 1 0 0 0 0 0 1.400 -.552 188 5 1 O 0 6 6 6 1. 475 -.556 188 5 1 0 0 O 0 0 .055 .554 188 5 1 0 0 0 0 0 .110 .551 188 5 1 O O O O 0.191 .547 188 5 1 0 0 0 O 0.266 .518 188 5 1 O 0 0 0 0.336 .540 188 5 1 0 0 0 0 0 .431 .510 188 5 1 0 0 O O 0.512 .506 188 5 1 0 0 0 0 0.602 .501 188 5 1 0 0 0 0 0.662 .523 188 5 1 0 0 0 0 0 .717 .546 188 5 1 0 0 0 0 0 .803 .542 188 5 1 0 0 0 0 0 .858 .514 188 5 1 0 O 0 O O .943 .509 188 5 3 O 0 0 O 1 .988 .507 188 5 2 0 0 0 0 1 1.064 .453 188 5 1 0 0 0 0 0 1.129 .500 188 5 1 0 0 0 0 0 1.189 .497 188 5 1 0 0 0 0 0 1.294 .567 188 5 1 0 0 O 0 O 1.380 .563 188 0 0 0 O 0 0 0 0.000 0.000 188 6 1 0 0 0 0 0 .044 -.565 188 6 1 0 O 0 O 0 .105 -.592 188 6 1 0 0 0 0 0 .135 -.u39 188 6 1 0 0 0 0 0 .231 —.519 188 6 1 0 0 0 0 0 .302 -.495 188 6 1 0 0 0 0 0 .402 -.651 188 6 1 0 0 0 0 0 .519 -.424 188 6 2 0 0 1 0 2 .610 -.426 188 6 1 0 0 0 0 0 .696 -.377 188 6 1 O 0 0 0 0 .736 -.606 188 6 1 0 0 O 0 0.807 -.457 188 6 4 0 0 0 0 0 .923 -.485 188 6 1 0 0 0 0 0 .042 .512 188 6 1 0 0 0 0 0 .107 .536 188 6 1 0 0 0 0 0 .142 .381 188 6 1 O O 0 0 O .198 .277 188 6 1 0 0 0 O 0 .208 .456 188 6 1 0 0 0 O 0.284.480 188 6 1 0 0 0 0 0.365 .478 188 6 1 0 0 0 0 0.451 .476 188 6 1 0 0 0 0 0 .537 .499 188 6 1 0 0 0 0 0 .592 .472 188 6 1 0 O O 0 0 .653 .496 188 6 1 0 0 0 0 0 .713 .520 188 6 1 0 O 0 0 0.824 .440 188 6 1 0 0 0 0 0 .946 .1137 188 6 4 O 0 0 0 0.835.500 188 0 0 0 0 0 0 0 0.000 0. 000 188 7 1 0 0 0 0 0 .049 - .569 Age Specific Data (continued) 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 188 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 N—‘dzdzth-JARES-5:34:34tW-E-ZJ‘JZK—fi-Jdd-JJ—‘A—‘NN-AAO—é—b—b—I—fi—b—b—s—AN.4 C‘OOOOOOOOOOOOOOOOC’OOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOO —b MOOOOOOOOOOOOOOOOOOOOOOOOOOCOCOOOOOOOOOOOOOOOOOOOONO 180 C‘NOOOOOOOOOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOCO .130 .226 .307 377 A53 .128 .213 .299 .375 .441 0.000 .080 .162 .259 .366 .468 .058 .149 .236 .302 .399 .476 .142 277 .457 .587 .778 .918 1.073 1.248 1.449 1.594 1.749 1.914 2.100 2.260 2.410 2.591 2.736 2.961 .089 .249 .504 .615 .780 .960 1.090 1. 246 1. 371 1.461 -.577 -.562 -.570 -.577 -.585 .482 .474 491 .508 500 .468 0.000 —.540 -.548 551 542 558 .526 .542 .534 -.492 -.490 -.486 -.482 ’0 ”78 -.525 -.470 - .466 - A61 Age Specific Data (continued) 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 WWWWWWWWWWWWWWUUONNNIUNNNNNNIUNIUNNNNNNNNNNNNO—fid—b—A—J—b—I—s—I—i zzzzzzzztzwm-I—fiAOAw—h—A-J-b—fith—I—h—A—A—A—A—ASSSNde—JO—I—Izz-lt—s—I—az OOOOOOOOOOOSOCOOOOOOOOOOOC’OOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOO‘OOOOOOOOOOOOOOOOOCOOOOOOOOOOOOOOOOOOOOOO —3 OOCOOOOOOOOOOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOO 181 OOCOOOOOOOONOOOOC‘AOOOOOOOOOOOC‘OOOOOO—AOOOOOOOOOOOOOOO OOCOOOCOOOOOOOOOOOOOOOOOO-‘OOOC‘OOOOOO—bOOOOOOC‘OOOOOCOO .601 .746 .887 .092 .247 .418 .558 .768 .878 .963 .000 .072 .162 .267 .367 .542 .747 .917 1. 087 1.182 1.247 1.342 1.447 .062 .408 .497 .692 .762 .912 1.037 1.087 1.167 1.227 1. 302 1. 372 1.452 0. 000 .055 .115 .190 .350 .470 .600 .755 .925 1. 095 1. 240 1. 410 1.575 1.745 1.915 2.080 ONNNNNNN—t—sa .561 .565 .569 556 Age Specific Data (continued) 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 202 210 210 210 210 210 210 210 210 .aa—aa-a—s—aazzzzzzzzzzzzzzzzzzzowwwwwwwwwwwwwwwwwwwwwwww z—‘Bz-B’JI-fl’t-S—‘dtz-LT—im—b-‘d—‘d—fiJ:—J-‘-—|—|CttJr-Irkt-Irfiwwzzzzt—bN—é—b—b—bz—bm OOOOOOOOOOOOOOOU‘IOOOOOOOOOOQOOOOOC‘OOOOOOCOOOOO-‘COOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOCWOOOOOOOOOOOOOOOOOOOOOOOOOCOONC‘OOOOOO 182 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOCOO-‘OOOOOOO OOOOOOOOOOOOOOCOOOOOOOOOOOOOOOOOOOOOOOOOOCOO—IOOOOOOO 2.365 2.500 2.725 2. 940 .120 .200 .305 .405 .575 .760 .905 1. 085 1. 245 1. 440 L 555 L 755 1. 910 2.085 2. 255 2. 400 2. 580 2.755 2.925 0.000 .070 .171 .283 .370 .593 .765 .872 1.080 1.192 1.283 1. 380 .169 .600 .743 .900 L 083 1.174 1.418 .248 .429 .605 .756 .903 1.044 1.271 -.416 -.439 -.460 -.406 .533 .559 .560 .537 .539 .541 .519 .547 .550 .553 .556 .558 .536 .564 .516 .570 .572 .550 .528 .530 0. 000 - .456 - .456 -.481 -.430 -.430 -.456 -.456 -.481 -.430 -.405 -.430 .506 .532 .557 .532 .532 .532 .532 .532 -.508 -.521 -.537 -.552 -.565 -.498 -.537 -.530 Age Specific Data (continued) 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 A JAJJAd—JAAAAAAAAAAA.‘dJ—JA—J-J—J-J—A-J—A—bdd.J—JAA—I—h—A—J—A—ld—I—Jdddd‘ .=.=-a.=u=.=Lo-ax:x::::=::¢:UJsrcnzuszLD-AL».z-a.:.=.=.=.=.:tu-a-a-a.z-a-a-a-a-a.zLu.=-A.=L»-a-AL».4.= OOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONOOO OOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOCOOOOOOOOOOOJ‘OOOOOOOOOOOOOOCOOOOO 183 OOOOOOOOOOOOOOWOOOOCOOOOOOOOOC’OAOOOOOOONOO-AOOOC‘OOOUOO OOOOOOOOWONU‘WBad-fid-fiN—AO—JOOON—fiwz—‘wOOOSOOOOOUWO‘NOUTO‘COO‘OO 1.426 1.593 1.674 1.754 1.875 2.041 2.253 2.474 2.595 2.797 2.923 3.094 3.235 3.311 3.497 3.553 3.638 3.819 3.886 3.971 .085 .271 432 .604 .750 .941 L 072 L 223 1.394 1.521 1. 732 2. 059 2.155 2. 261 2. 412 2. 589 2. 775 2.977 3.112 3.269 3.430 3.601 3.772 3. 944 4. 054 4. 296 4. 442 4.578 4.764 5.011 5.248 5.419 -.569 -.531 -.538 -.545 -.555 -0 5,43 -.561 -.580 -.564 -.555 -.566 -.554 -.593 -.520 -.589 -.488 -.522 -.590 -.438 -.550 .545 .582 .516 .527 .594 .577 .566 .553 .539 .554 .562 .508 .526 .517 .504 .568 .552 .588 497 .563 .523 .534 .546 .531 - .524 -.517 -.502 -.513 -.527 -.546 -.487 -.526 Age Specific Data (continued) 210 210 210 210 210 210 210 210 210 210 210 210 210 210 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 NNNOJQ-L‘_.|_3_s_.|_a..s_a_.s_;_n_s_a_;_s_a_s_3_s_s__|_s_.\_.s_s_a_s_s.4...|_.\.A_s_a._|_s._s._s_.s_a_5_.s._s_s_t Stzozzz-Z-JW-t—‘NWWWDb-‘NE-P-‘d-S’NNWUON-J-AtNKZEZZ-fi—Jttbké4:4:NNJ‘J-B’J: OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOONOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO oooooooo—smowm-s:ooo—sooo—‘oooooxlooozooooocooooooooooooo 184 OOOOOOOOUOI’UOUO—‘NNOOONOOOsz-‘OO-‘OOOWOOOOOC‘OOOOOOOOOOOCO NOOC‘O—‘OONOO‘O‘U‘NOOO —J .A NN O—‘éOOOOOOOMOUUU‘ZWUT—‘NAWWOOOOOGJOUTOONUTW-J 5. 581 5. 777 5. 9113 11.107 11. 3211 11. 586 11. 757 4.984 5.2111 5.1127 5.583 5. 7119 5. 901 5. 9111 .0911 .21111 .1150 .591 .751 .962 1.107 1.228 1. 328 1. 669 1. 830 1.930 2. 206 2. 316 2. 517 2.698 2.908 .097 .287 .1173 .588 .759 1. 246 1. 441 1.682 1. 862 1. 993 2.133 2. 299 2.449 2.560 2.740 2.941 .098 .239 .414 .585 -.513 -.476 -.541 .537 .520 .526 .512 .521 .553 .512 .526 .539 .501 .576 -.551 -.560 -.547 -.581 -.591 -.578 -.587 -.542 -.574 -.569 -.553 -.533 -.549 -.556 -.516 - .579 - .566 566 .528 .517 .562 .551 .537 .548 536 . 51 1 . 555 .520 .510 .11119 .11911 . 483 . 1197 . 1199 .541 498 mllll 65‘. Age Specific Data (continued) 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 215 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 \OU‘KICDCDO—buJ1 MEN EON _b WOOOOOONOOOOOOOK]SWONAOOUWNAAOOO—b—SOONNJ‘JNNEN _J _._._._._._._._6_..._-_s_s_a—s_-_:—1—-mmmmwmmmmwammmmmmmmmmmmmmmmmmmmm —-I zzzzczzmazz-A-aaawwwwzzz-a-a:zzzazzzzzzwwzzmzzmww24:31:22.1: COOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOC‘OOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOC’OOOOOOOOOOOOOOOOO oooooooooooooooooooooom—tocoooooooooomooooooooooooooo OOOOOOOWOOOOOOOO-‘OOOOON-‘OCOOOOOOC’OOOUUOOOOOOOOOOOOOOO _§ .736 .922 .083 .420 .606 .787 .857 .043 .254 .435 .616 .751 .922 .109 .264 .420 .591 .762 .932 .103 .249 .445 .596 .767 .933 .098 .334 .505 .606 .777 .928 .928 .116 .221 .317 .477 .563 .643 1.719 1.814 1.935 2.080 2.211 2.307 2.432 2.603 2.759 2.935 3.101 3.261 3.452 NNNNNN—‘A—h—Idd A—b—I—J—AdNNNNNNN—A—Jd—h—l—J -.506 -.515 -.524 -.507 -.515 -.499 -.456 -.460 -.496 -.481 -.464 -.474 -.533 -.567 .592 .610 .550 .593 .532 .549 .566 .559 .548 .541 .584 .575 .540 .528 .571 .592 .583 .575 .575 -.481 -.487 -.492 -.502 -.507 -.512 -.490 -.522 -.476 -.459 —.466 -.472 -.506 -.490 -.525 -.509 -.519 -.529 -.540 Age Specific Data (continued) 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 224 d44dd—b—h—é—b—J—A—b—J—Dd—hA—I—I—A—J‘A—l—I—I‘d—IJ—A—b—bJ—Jg—Iédd—S—AdA—D—l-Jd‘d‘d wwwzd-J—fi—‘d-‘d—‘dA-JAAAWWWNNNWW-Egkz-CNNN-‘dd—bJ=J=—*d—*dd-‘WWWWWW OOOOOOOOOOOOOOOOOOC‘OOOOOOOOOOOOOOOOOOOOOOOOOOCOOOOC‘O OOOOOOOOOOOOOOOOOOOOOOOOOOOCOOOOOOOOOOOOOOOOOOOOOOOO COOOOOOOOOOOOOOOOOOOOOOOOOOCOOOOOC’OOOOOOOOOOOOOOOOOO 186 COOOOOOOOOOOOOUJOOOOOOOOUOOOOCOOOOOOBOOOOOOOOOOOONOOOO CKOOUJ—fi—h-BOONOOOOOOOONO‘WOAO‘ -| le-‘O‘OOOOOOOONOOOOONP-‘U‘ 3.568 3.643 3.729 3.814 3.879 3.980 11.1111 4.312 4.417 4.477 4.558 11.633 11.7711 11.925 1.121 1.226 1. 307 1. 402 1. 5118 1. 628 1.7011 1.910 2.090 2.256 2.1117 2.588 2. 729 2. 804 2. 889 2. 975 3.075 3.151 3.231 3.317 3. 397 3. 467 3. 553 3.6118 3.719 3.809 3.8911 3.975 4.055 11.2116 11.1172 4.558 4.804 4. 970 5.064 5. 2111 5.294 5.384 -.547 -0 551 -.556 -.538 -.518 -.522 -.553 -.531 -.513 -.548 .572 .539 .561 .529 .5112 .564 .551 .5111 .584 .5118 .538 .529 .551 5.20 .5111 .535 .531 .526 5.21 511.2 .538 .533 .527 .523 .51111 .513 .561 .556 .518 .531 .553 .564 .5511 -.565 -.575 -.5511 -.561 187 Age Specific Data (continued) 224 1 2 0 0 0 6 2 5.539 -.518 224 1 3 0 0 0 1 11 5.639 -.525 224 1 2 0 0 0 0 6 5.714 -.531 224 1 4 0 0 0 0 0 5.899 -.517 224 1 1 0 0 0 0 0 6.034 -.500 224 1 1 0 0 0 0 0 6.279 -.518 224 1 1 0 0 0 0 0 6.439 -.556 224 1 1 0 0 0 0 0 5.031 .531 224 1 4 0 0 0 0 12 5.261 .541 224 1 3 0 0 0 0 16 5.386 .533 224 1 3 0 0 0 0 4 5.466 .554 224 1 3 0 0 0 0 3 5.551 .574 224 1 2 0 0 0 0 39 5.631 .595 224 1 4 0 0 0 0 2 5.761 .586 224 1 4 0 0 0 0 0 5.912 .602 224 1 4 0 0 0 0 0 6.087 .616 224 1 4 0 0 0 0 0 6.232 .606 224 1 1 0 0 0 0 0 6.357 .624 224 1 1 0 0 0 0 0 6.452 .617 244 1 1 0 0 0 0 0 .036 -.514 244 1 1 0 0 0 0 2 .126 -.515 244 1 3 0 0 0 0 17 .201 -.516 244 1 3 0 0 0 0 9 .301 -.490 244 1 4 0 0 0 0 4 .411 -.491 244 1 3 0 0 0 0 13 .546 -.519 244 1 4 0 0 0 0 3 .736 -.494 244 1 2 0 2 0 0 6 .951 -.497 244 1 4 0 0 0 0 3 1.076 -.525 244 1 4 0 0 0 0 11 1.246 -.527 244 1 3 0 0 0 0 22 1.451 -.529 244 1 3 0 0 0 0 7 1.541 -.530 244 1 2 2 0 6 0 3 1.646 -.558 244 1 1 0 0 0 0 3 1.791 -.500 244 1 1 0 0 0 0 0 1.861 -.534 244 1 1 0 0 0 0 0 1.956 -.535 244 1 1 0 0 0 0 0 2.026 -.535 244 1 4 0 0 0 0 0 2.226 -.538 244 1 4 0 0 0 0 0 2.401 -.540 244 1 2 0 0 0 0 13 .124 .566 244 1 3 0 0 0 0 6 .204 .565 244 1 4 0 0 0 0 17 .409 .563 244 1 3 0 0 0 0 10 .629 .588 244 1 3 0 0 0 0 22 .714 .587 244 1 2 0 0 0 0 3 .789 .586 244 1 2 0 0 0 0 19 .859 .585 244 1 2 0 0 0 0 11 .964 .557 244 1 2 0 0 0 0 31 1.044 .583 244 1 1 3 0 0 0 6 1.133 .609 244 1 1 0 0 0 0 0 1.209 .582 244 1 1 0 0 0 0 0 1.295 .581 244 1 1 0 0 0 0 0 1.378 .607 244 1 1 0 0 0 0 0 1.459 .579 244 1 1 0 0 0 0 0 1.544 .578 Age Specific Data (continued) 2411 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 2411 244 244 244 244 244 244 244 244 244 244 244 244 21111 244 R‘IUR‘K‘K’NNR3R‘I\)I\)I\3NI\31\)I\1[\3l\)f\)1\31\3[\3l\)1\)l\)l\)l\)f\‘1\)l\‘l\)l\1l\)l\\1\3l\‘l\\l\)l\‘l\)l\.)l\\l\1l\\o4.3.3.5444 A—A-A—b-A-J-i—A-‘d—S—S—‘UJUU—J-JAFrWWR1-E’WWW1UR1-é-AAJ?trJ—‘I’EP-fi'wwwwoJTJ—‘Jr—JLAJNUU OOOOOCOOOOCOOOOOOOOOOOOOOCOO«JOOOCOOOOOOOOOOOOOOOOOOO OOOOOCOOOOOOOOOOOOCCOOWOOOOO‘CDOOCCOOOOOOOOOOOOOOOOOWO OOOOOOOOOOOOOOOOOOOOOOIUOCOOOOOLDOOOOOOOOOOOOOOCOOOOOO 188 OOOOCOOOOOOOOOOOOOOOOOOOOCOOR‘OOCCOOOOOOOOOOOOOOOOOON —J A [UN-4 [\1—A ....|_a NA .2 OOOOOOOOOOOOOR‘R11VOOdeO‘R1thoUTUJW-KOOOOOOOOOOtNO‘m—AOOOOO 1.674 1.774 1.859 1.943 2.089 2.239 2.394 0.000 .034 .109 .215 .472 .587 .748 .915 1. 081 1.237 1.403 1.584 1.755 1.865 1.951 2.052 2.147 2.218 2.298 2.374 2.464 2.595 2.726 2.806 2.967 3.093 3.254 3.385 3.470 3.541 3.637 3.803 3.893 3.969 .037 .122 .223 .298 .369 .464 .540 .630 .696 .791 .882 .577 .575 .548 .601 5.72 .597 5.96 O. 000 -.526 -.526 -.526 -.500 -. 579 -.500 -.500 -. 500 -. 474 -. 4117 - .500 - .474 -.500 -. 500 -.500 .474 5.26 .474 -.500 -.500 -.11711 -. 474 -. 474 -.4711 -. 4711 -.500 -. 474 -.500 -. 473 -. 474 -. 447 -. 447 -. 395 .526 .526 .579 .553 .553 .579 .605 .553 5.79 .579 .553 Age Specific Data (continued) 244 244 244 244 2411 244 244 244 244 2411 244 244 244 244 21111 244 244 2411 244 244 21111 244 244 2411 [\1l\)l\)1\)l\)f\)l\)l\)|\)l\3|\)l\)l\3l\)l\)l'\)[\3f\\|\)l\)l\)l\)l\3l\) —I OOOCOOOOOOOOOOCOOOOOOOOO OOOCOOOOOOOOOOOOOOOOOOOO _I OOOR’QOOOOOOOOOCOOOOOOOOO 189 OOCOUJOOOOOOOOOCOOOOOOOOO —aou u1::u1~acac>c>n)c>c>c> a _s oer‘NO‘OOWN .973 .093 .259 .390 .566 .752 .938 .145 .215 .381 .462 .547 .633 .723 .819 .945 .076 .257 .398 .468 .544 .644 WWWWWWNNNR‘NR‘R‘NN—b—I—I—h—I—a w .4 N O 3.936 .553 .579 .579 .579 .579 .526 .526 .579 .553 .579 .553 .526 .553 .553 .553 .553 .553 .579 .579 .605 .605 .605 .579 .605 APPENDIX F Ovipositional Behavior Data The data is listed as i,j, k where i stands for bulb condition (1 = rotting + infested 2 = rotting, 3 = normal), j stands for bulb type ( l = large dry bulbs, 2 = large green bulbs, 3 = small green bulb.) and K equals the total number of immature onion maggots associated with each bulb. CDDAONIONACT (5X , 3F5 . O) 190 191 Ovipositional Behavior Data OOOOOO_UOOOOOOO6O1O00300OOOOOO1OOO.UOOOOOOOOO030000071700 11111111111111.11112”(Zr/—22222222222rd22333333333333333333 33333333333333.4333?333333333333333333333333332:333333333 097975613290011014.“.926214610514006070207u60503h. 12 «I? 211 1111. 1| 1112 11 1.. 4|. 1| 2 11111111111111.11112222222222222229.22333333335333333333 222222»42222222229.9."5222222227.?—2222222222222229.222222227— 729 5:0083070 7:633753810786129611 6085937375u2u600u72 1.14.3 51:323522 1421A. L9:.n/_n/_51|1122n/_32 H. In. 11 1| 4| 111111111111111111222222n/bn/bnd22222222n433333333339‘3333333 LITERATURE CITED LITERATURE CITED Bliss, C. I. 1967. Statistics in_Biology. Vol. I. McGraw-Hill, New York. 558 pp. Brooks, A. R. 1951. Identification of the root maggots (Diptera: Anthomyiidae) attacking cruciferous garden crops in Canada, with notes on biology and control. Canadian Entomol. LXXXIII(5): Brown, A. W. A. 1971. Pest resistance to pesticides. Pesticides in the Environment. 1:457-552. Chapman, R. K. 1960. Status of insecticide resistance in insects attacking vegetable crops. Misc. Pub. Entomol. Soc. America 2:27-39. Clark, P. J. and F. C. Evans. 1954. Distance to nearest neighbor as a measure of spatial relationships in populations. Ecol. 35(4): 445-53. Cochran, W. G. 1963. Sampling Technigues. Second Ed. John Wiley and Sons, Inc. 413 pp. Cox, G. W. 1972. Laboratory Manual g£_General Ecology. Brown, Dubuque. 195 pp. Cress, D. C., H. S. Potter, G. W. Birel and A. Wells. 1976. Control of insects, dieseases and nematodes on commercial vegetables. Mich. State Univ. Ext. Bull. #312. 40 pp. Croft, B. A., J. L. Howes, and S. M. Welch. 1976. A computer-based extension pest management delivery system. J. Environ. Entomol. Davis, J. F. and R. E. Lucas. 1959. Organic soils, their formation, distribution, utilization and management. Ag. Exp. Sta. Bull. #425. Michigan State University, East Lansing, Michigan. Doane, C. C. 1953. The onion maggot in Wisconsin and its relation to rot in onions. Ph.D Thesis, Univ. of Wisconsin. 130 pp. Eckenrode, C. J., E. V. Vea, and K. W. Stone. 1975. Population trends of onion maggots correlated with air thermal unit accumula- tions. Environ. Entomol. 4(5):?85—89. 192 193 Ellington, J. J. 1963. Field and laboratory observations on the life history of the onion maggot Hylemya antiqua (Meigen). Cornell Univ. Ph.D Thesis. 124 pp. Elliott, J. M. 1977. Some methods for the statistical analysis of samples of Benthic invertebrates. Fresh Water Biol. Assoc. #25. 160 pp. Elmosa, H. M. 1960. Toxicological investigations on the onion maggot, Hylemya antiqua (Meig.) Ph.D Thesis, Michigan State Univ. Finney, D. J. 1941. On a distribution of a variate whose logarithm is normally distributed. Suppl. J. Roy. Statist. Soc. 7:155-61. Friend, W. G. and R. L. Patton. 1956. Studies on the vitamin require- ments of larvae of the onion maggot, Mylemya antiqua (Meig.), under asceptic conditions. 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