THE ECONO:MICS OF ARTIFICIAL INSEMINATION REGULATIONS IN THE EQUINE BREEDING INDUSTRY: MONOPOLY VERSUS TRANSACTION COSTS EXPLANATIONS by Valerie Anne Thresher A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science m Applied Economics MONTANA STATE UNIVERSITY Bozeman, Montana December 1996 11· APPROVAL of a thesis submitted by Valerie Anne 1bresher This thesis has been read by each member of the thesis committee and has been found to be satisfactory regarding content, English usage, format, citations, bibliographic style, and consistency, and is ready for submission to the College of Graduate Studies. Randal Rucker Approved for the Department of Agricultural Economics and Economics Douglas Young (Signature) Date Approved for the College of Graduate Studies Robert Brown (Signature) Date iii STATEMENT OF PERMISSION TO USE In presenting this thesis in partial fulfillment of the requirements for a master's degree at Montana State University-Bozeman, I agree that the Library shall make it available to borrowers under rules of the Library. If I have indicated my intention to copyright this thesis by including a copyright notice page, copying is allowable only for scholarly purposes, consistent with "fair use" as prescribed in the U.S. Copyright Law. Requests for permission for extended quotation from or reproduction of this thesis in whole or in parts may be granted only by the copyright holder. Signature----------Date IV ACKNOWLEDGMENTS The reassuring encouragement and guidance I received from Dr. Randal Rucker generated the academic and mental support that kept me focused. His consistent dedication to both the project, and my well being, enabled me to complete this thesis in a reasonable time frame. Dr. Daniel Benjamin contributed time and energy at all stages of the project to ensure that the theories developed were logical and faithfully reflected in the empirical analysis. The comments and thoughts of Dr. David Buschena forced me to defend the theories presented and resulted in a significantly improved thesis. I would like to thank Kathy Shank at the Keeneland Library in Lexington, Kentucky, who spent many hours on the phone clarifying points of confusion about the race horse industry. In addition, she suggested other contacts and allowed me to use her name as a means of introduction. Also deserving of thanks are the breed registries and stallion owners who responded promptly and throughly to my respective questionnaires. I am especially grateful to Sheila Smith and Jan Chovosta for their computer support at all hours of the day any day of the week, and to Lara Salazar for editorial assistance. v TABLE OF CONTENTS Page LIST OF TABLES ................................................... VIt LIST OF FIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii ABSTRACT .............. , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix 1. INTRODUCTION .................................................. ·. 1 Purpose ......................................................... Scope ......................................................... Breed Registry Explanations for Restricting AI ......................... Economic Explanations for Restrictions on AI . . . . . . . . . . . . . . . . . . . . . . . . . . Organization of Chapter Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 2 5 5 2. GENERAL ECONOMIC OVERVIEW .................................. 7 Importance of the Equine Industry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Development ofBreed Registries .......................... : . . . . . . . . . 8 Technological Development of AI ................................... 9 3. LITERATURE REVIEW ............................................ 13 Economic Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Related Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 4. THEORETICAL MODELS AND EMPIRICAL TESTS .................... 19 Opportunistic Behavior I: The Advent of Affordable DNA Genotyping ...... Opportunistic Behavior II: Variations in Stud Fees ...................... Monopoly Argument . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Relative Versus Absolute Performance ....................... : . ...... Relative Versus Abso'lure Performance 1: The Importance of Winning . . . . . . . Relative Versus Absolute Performance II: Standardbreds Versus Thoroughbreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Extending the Monopoly Model to Include Alternative Explanations . . . . . . . . 19 27 31 38 44 50 54 Vl 5. USING AI TO IMPROVE ABSOLUTE PERFORMANCE IN OTHER LIVESTOCK INDUSTRIES ........................................ 61 AI and the Cattle Industry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 AI and the Poultry, Swine and Sheep Industries ........................ 63 Rewards for Improving Absolute Performance . . . . . . . . . . . . . . . . . . . . . . . . . 64 6. CONCLUSIONS .................................................. 66 REFERENCES CITED ................................................ 69 BIBLIOGRAPHY ............................................. : ....... 72 APPENDICES ....................................... , .............. Appendix A-Data for Opportunistic Behavior I: The Advent of Affordable DNA Genotyping . . . . . . . . . . . . . . . . . . . . . . . . . . Appendix B-Surnrnary Statistics, Data, and Additional Regression Results for Opportunistic Behavior II: Variations in Stud Fees . . . . . . . Appendix C-Surnrnary Statistics and Data for Relative Performance I: The Importance ofWinning . . . . . . . . . . . . . . . . . . . . . . . . . . . . Appendix D-Data for Relative Performance II: Standardbreds Versus Thoroughbreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Appendix E-Surnrnary Statistics and Data for Combination Model . . . . . . . . . 77 78 81 84 89 91 Vll LIST OF TABLES Table Page 1. Adoption Dates of Artificial Insemination ................................... 3 2. Effect of the Discovery of PCR on Artificial Insemination Regulations .......... 26 3. Effect of Variations in Stud Fees on Artificial Insemination Regulations ......... 30 4. Ray and Grime Monopoly Model1985 Data ............................... 35 5. Ray and Grimes Monopoly Model1995 Data .............................. 36 6. Winning and Its Effect on Stud Fees ................................ ·..... 48 7. Faster Horses and Their Effect on Purses .................................. 54 8a Coefficients of Alternative Explanatory Variables .......................... 58 . 8b. CoefficientS of Alternative Explanatory Variables .......................... 59 Vlll LIST OF FIGURES Figure Page 1. 'Monopolist and Cost Reducing Technology ............ ~ ................... 37 2. Positional Externalities Associated with AI ................................ 41 3. Effective Cartel ...................................................... 42 4. 'Partial Cartel ........................................................ 43 5. Finish Times: Kentucky Derby and Kentucky Futurity ....................... 50 lX ABSTRACT Artificial insemination is a technological development that lowers the cost of producing livestock while providing a means for accelerating the development of genetic characteristics. The adoption of artificial insemination by the equine industry has been inconsistent across breed registries and varied over time. The question arises as to why any registry would resist the introduction of a technology that lowers the cost of production. Identification of the characteristics that influence the decision by a breed registry to place restrictions on the use of artificial insemination will provide economic reasons to explain why the restrictions exist. Various explanations are hypothesized to provide a basis for empirical models. Regression analysis is run to test for the significance of the following factors; opportunistic behavior, monopoly power, and the importance of relative versus absolute performance. It is established that all three factors contribute to a registry's decision whether or not to impose restrictions on the use of artificial insemination. There are two separate conclusions drawn from the results. Where opportunistic behavior (i.e. cheating) generates rewards not otherwise attainable, artificial insemination will be restricted. Where relative performance matters and a breed is able to exert monopoly power, artificial insemination will be restricted. 1 CHAPTER 1 INTRODUCTION Purpose This thesis examines economic reasons for restrictions on the use of artificial insemination in the equine industry. When artificial insemination became a technological option for horse breeders, mariy breed registries instituted some form of regulation restricting its use. The regulations have been varied and dynamic, modified through time as influencing factors change. It is the purpose of this thesis to determine the economic forces that influence a registry's decision to restrict artificial insemination (AI). Scope At the outset, it was my intention to compare artificial insemination use and regulations in the equine industry with the cattle industry. It quickly became apparent that the use and regulation of artificial insemination in the equine industry varied across breeds and over time. Further investigation revealed unexpected differences among seemingly similar breeds. For example, two associations with almost identical purposes, to promote the sport of horse racing, have completely opposite policies regarding the use of artificial insemination. The United States Trotting Association, the ruling body for Standardbreds, has never instituted any restrictions on the use of artificial insemination. In sharp contrast, The Jockey Club, the ruling body for Thoroughbreds, has never, and 2 still has no intention of, permitting the use of artificial insemination. A meaningful economic analysis comparing .the equine and cattle industries cannot be forthcoming without first understanding the various artificial insemination regulations in the equine industry. The equine industry proved sufficiently complex that this study focuses on identifying the economic factors that determine artificial insemination regulations in horse breeds. The adoption of AI in other livestock industries will be described and some general conclusions will be drawn. Each breed registry has acted independently when making decisions regarding the use of AI by its members. There are three distinct types of AI and each are regulated independently. The first, on-site, requires that the semen be collected from the stallion and used immediately (within an hour) to inseminate a mare located on the premises. The second, shipped cooled semen, allows for short-term storage of semen (three to four days) before inseminating the mare. The third, frozen semen, can be stored for an indefinite period of time before insemination. Table 1 (on the next page) illustrates the variation in the adoption patterns of AI by equine breed registcies. Restrictions have not been static, rather they have evolved and changed over time. Breed Registry Explanations for Restricting AI There are two common reasons given by breed registries justifying restrictions on AI. First, artificial insemination makes it too difficult to maintain accurate lineage records. Second, artificial insemination narrows the genetic base of a herd population and will lead to excessive inbreeding. 3 TABLE 1: Adoption Dates of Artificial Insemination Breed Date Allowed On-Site Date Allowed Shipped Cool Date Allowed Frozen Semen Anglo Arab 1971 1988 1988 Appaloosa 1970 Not Allowed Not Allowed Arabian 1971 1991 1991 Half Arab 1971 1988 1988 Belgian 1992 1992 1993 Ciydesdale 1950 1950 1950 Cream Draft 1993 1993 1993 Hackney 1985 1985 1985 Haflinger 1990 1990 Not Allowed Hanoverian 1978 1978 1978 Holsteiner 1976 1976 1976 Miniature Not Allowed Not Allowed Not Allowed Morgan 1986 1986 1986 Paint 1965 1995 Not Allowed Paso Fino 1972 1972 1972 Percheron 1960 1960 1987 Peruvian Paso 1973 1983 1983 Pinto 1989 1989 1989 Ponies Of America 1965 Not Allowed Not Allowed Quarter Horse 1967 Not Allowed* Not Allowed Thoroughbreds Not Allowed Not Allowed Not Allowed * The Quarter Horse Association will allow shipped semen starting with the 1997 breeding season I 4 Breed registries originally developed as groups of horse owners voluntarily agreed to collaborate to maintain accurate lineage records. These groups were interested in breeding horses with specific characteristics to perform specialized tasks. Repeatedly matching stallions and mares who possess similar desirable traits virtually ensures a population of horses bred to excel at a specific task. When AI was introduced as a technological option for breeders, many registries worried that shipped semen would lead to errors of identity, and consequently incorrect pedigree recordings as a result of mislabeled semen vials, whether accidental or fraudulent. Requiring natUral cover, a physical mating between the stallion.and the mare, guarantees (with witnesses) that any resulting foal is the product of a specific stallion. The true origin of shipped semen is essentially unknown and many registries were not willing to base their stud books on the integrity of the senders: instead they prohibited shipped semen. The second common justification for AI regulations is that unrestricted use of AI will narrow the genetic base of the herd population. With artificial insemination, for reasons to be discussed later, popular s~lions can sire a larger proportion of the herd population. Consequently, assuming demand for foals is constant, the resulting annual foal crops will carry less genetic variation. Whether this will weaken or strengthen bloodlines is ardently debated without any firm scientific conclusions available. 1 1 For further discussions on the argument of whether genetic narrowing will weaken or strengthen bloodlines see, Ray (1987,1988,1989) Ray and Grimes (1991), Walther (1995), Biles (1995), Aronson, Henry, Fraser (1994), Amann et al (1987). 5 Economic Explanations for Restrictions on AI Three economic explanations for AI restrictions will be proposed and empirically tested in this thesis. The first examines a monopoly based argument. 2 The monopoly argument states that requiring natural cover effectively restricts output. If the annual supply of foals is kept below the laissez faire market-clearing quantity, then prices will be higher than their 'true' value and current horse owners will accumulate rents. This argument, as documented, is problematic. There are inconsistencies in the logic and a section in Chapter 4 strives to resolve the conflict. The second explanation is that registries restrict AI to reduce opportunistic behavior. This argument hypothesizes that as opportunities for successful fraudulent transactions decrease, AI restrictions relax. The third argument explores the effects of relative versus absolute performance. The prediction from this argument is the more important relative performance is to horse owners the greater Will be the incentive of the breed registry to impose AI restrictions. Organization of Chapter Topics This thesis begins with a general overview, in Chapter 2, of the equine industry. The structure of the equine industry is discussed along with a technical overview of artificial insemination technology and its development. In Chapter 3, a review of literature provides the background for possible economic explanations of restrictions on the use of artificial insemination. Chapter 4 presents the empirical results of theoretical inodels that 2 Ray (1987), Ray and Grimes (1991), Coelho and McClure (1987). 6 models that have been developed using the data to be found in Appendices A, B, C, D and E. Several hypotheses are proposed and then tested for the purpose of identifying the economic rationale underlying breed registry regulations that prohibit the use of AI by their members. A brief history on the development of artificial insemination in other livestock industries, particularly the cattle industry, will be Concluding remarks are the subject of Chapter 6. giv~n in Chapter 5. 7 CHAPTER2 GENERAL ECONOMIC OVERVIEW Importance of the Equine Industry According to the American Horse Council's "1995 Horse Industry Directory" the equine industry is a $15.2 billion industry, accounting for over ten percent of the gross national product of the Agriculture, Forestry, and Fisheries sector of the U.S. economy. Additionally, in 1993, an estimated $14 billion was wagered at equine race tracks, contributing $493 million in state tax revenues. Based on these numbers, it would appear that the equine industry is a significant contributor to the national economy. All horses can be placed into one of two categories, grade or registered. A grade horse is one whose lineage is unrecorded. A registered horse has a traceable linage that is recorded with a breed registry. Because the production of grade animals is not constrained by breed registries this thesis will focus exclusively on registered animals. The equine industry is composed of 144 breed registries and associations. Each registry, and each association, operates independently to pursue its own objectives, but collectively these self-regulated organizations determine the direction of growth of the equine industry. Growth resulting from the development of new technologies will occur when the perceived benefits to the decision makers of adopting the technology are greater than the costs associated with change. Simultaneous adoption of a technological 8 innovation throughout the industry is unlikely because the varied objectives of each organization will determine their own specific costs and benefits. Development of Breed Registries Each breed registry promotes specific traits and characteristics that constitute its ideal horse. Whether based on blood lines, color, or performance, each registry sets strict guidelines to establish for itself those characteristics that constitute an eligible h<;>rse. For example, the Pinto registry specifies that to be eligible for registration "horses two years or 0lder must exhibit at least 15 square inches of white with underlying pink skin". The Jockey Club, the breed registry for Thoroughbreds, requires that ''the foal's pedigree authentically traces in all its lines to horses recorded in The American Stud Book or a foreign stud book recognized by the Jockey Club". 1 Simply stated, only foals born from a stallion and a mare who are both registered with the Jockey Club are eligible for registration with the Jockey Club. The governing structure of each registry varies, but for the majority of registries the individual horse owners control the decision making process: either directly through a majority vote, where each member has one vote, or indirectly through an elected board of directors. The one important (for this thesis) exception to this generalization is the Jockey Club. The Jockey Club establishes, and enforces, the rules and regulations binding Thoroughbred breeders. The Jockey Club is a corporation consisting of 1 Pinto information is from the Pinto Horse Association of America, Inc. and Thoroughbred information is from the Jockey Club's "The American Stud Book: Principle Rules and Requirements". 9 anywhere from ninety-five to one hundred "members". Current members nominate new members who must receive a majority vote of the whole membership to be elected. New members are nominated based on their long term contribution to the Thoroughbred indust.I"f. The entire organization is governed by a nine person Board of Stewards which is elected from the membership of the Jockey Club. Individual Thoroughbred owners, who are not members of the Jockey Club, exert no influence, by means of an electoral process, on the members of the Jockey Club or the policies it adopts. Technological Development of AI The perpetuation of a breed depends on the success of its breeding program. Mare owners wishing to produce a foal seek out a stallion that possesses desirable traits. The advent of artificial insemination and shippable semen had the potential to dramatically alter the traditional breeding regimen. It is much cheaper to send a vial of semen via an overnight courier service than it is to transport a horse. Shipped semen allows mare owners to make breeding decisions based on genetic suitability without regard to geographical convenience. The optimal breeding schedule for an average mature stallion is one ejaculation every other day. Stallions that are used more often for an extended period of time experience· dramatic drops in their fertility rates and often become bored, exhausted and 2 "Long term contribution to the Thoroughbred industry" is a rather vague qualifier applied without any specific determinants. The members are usually race horse owners, breeders, trainers or some combination of the three. 10 unmanageable. 3 Traditionally mares contracted for breeding are transported to the stallion. On average, a mare needs two and a half inseminations per oestrus cycle, for two cycles, to become pregnant with a conception rate of ninety percent. 4 Mares who have traveled long distances will usually remain at the stallion's facility until it is determined that the mare is pregnant. The equine breeding season starts in February and is effectively over by June. 5 These dates do not coincide with the horses' natural breeding season, which would run from early May through August, but rather result from an industry wide practice that standardizes January 1 as the birth date of every horse. A horse born in February and one born in September are both classified as being one year olds as of January 1 of the year following their birth. This age standardization has effectively limited the breeding season to no more than 150 days. Breed registries that sanction shows and races offer events categorized by age. In a show or race open to two year olds, a horse born six months later than the rest of his competitors will be severely disadvantaged, both in its physical maturity and the amount of training it has (or has not yet) received. Not until about the fifth year is this difference in physical and mental maturity no longer a significant factor. The limited time frame of the breeding season pressures stallions, who are 3 Blanchard and Varner (1996). 4 5 Barth (1993) The gestation period for a horse is eleven months. 11 booked to cover forty mares (not an unreasonable number for a good stallion), to be bred more than once a day. Artificial insemination reduces the breeding pressures put on a stallion because one ejaculation can be used to inseminate multiple mares. Depending on the, fertility of the stallion's semen one ejaculation can be split to inseminate up to twenty mares. Semen collected from a stallion every other day for the one hundred and fifty day breeding season can inseminate many more than forty mares. Moreover, the ability to freeze semen enables breeders to collect and store it throughout the year for use during the breeding season. The first historical mention of the possibility of birthing a foal conceived using artificial insemination dates back to the twelfth century: legend tells of an Arabian prince who stole semen from an enemy kingdom's prized stallion. The scientific records of successful conceptions using artificial insemination date much later-toward the end of the nineteenth century. By the mid 1930s scientists in Russia and England had developed the technology . necessary to collect, store and ship bull semen. Stallion semen proved to be more fragile; it did not maintain its fertility after being cooled. It was not until the early 1960s that artificial insemination using shipped cooled semen became a technological option for horse breeders. Conception rates, using "correctly'' cooled semen, are comparable to natural service: 50-60 per cent with two inseminations in a single oestrus cycle and 85-92 per cent with two inseminations/per oestrus cycle over three oestrus cycles.6 "Correctly" 6 Boyle (1994) 12 cooling semen involves taking an ejaculation and adding an appropriate extender (a protein supplement that feeds the sperm while they are out of the body) and cooling the semen to 4 °C. The single most significant factor affecting the fertility of the cooled semen is that it be warmed at the same rate at which it was cooled. The first successful foaling using frozen stallion semen was reported in 1966. Currently attainable conception rates of under fifty percent (two inseminations per oestrus cycle, over three cycles) using frozen semen do not compare well wi~ those achievable through natural covers or cooled semen; a fact that diminishes frozen semen's current commercial potential. 13 CHAPTER3 LITERATURE REVIEW This chapter is divided into two sections. The first section presents the economic framework that will provide a foundation for the theoretical and empirical analysis in Chapter 4. The second section reviews literature that deals specifically with the breeding restrictions in the equine industry. The economic framework underlying the historical pattern of adoption of AI acFoss breeds starts with Griliches (1960) and his research on regional adoption patterns of technological innovations. A paper written by Klein and Leffler (1981) describes how market forces prevent or encourage cheating behavior and how firms can signal to consumers their commitment to honest transactions. Stallion owners engage in many of the behaviors and practices described by Klein and Leffler as methods of demonstrating to consumers their commitment to _honest transactions. A brief survey then follows to outline the results of research pertaining to the effects of relative performance and restrictions on competition in major league sports. A parallel is drawn between restrictions in sports leagues and restrictions on artificial insemination in breed registries. The second section reviewing relevant equine literature starts with a paper published by Ray and Grimes, The Determinants ofBreeding Regulation in the Horse Industry: An Empirical Analysis. Next a paper by Coehlo and McClure (1987) will be 14 reviewed that focuses exclusively on Thoroughbreds and concludes that AI restrictions keep the quantity ofhigh quality horses below what the market demands and generates rents for current Thoroughbred horse owners. This section ends with a discussion of an article in the Maryland Horse, "As Opposed to Thoroughbreds, Standardbreds Getting Faster" which concludes that the use of AI has resulted in improved finish times for Standardbred races. Economic Framework It is important to remember that individual horse breeders were, and in many cases remain, reluctant to use artificial insemination. Breeders of European Warmbloods and Standardbreds are the most active users of AI but they comprise no more than fifteen percent of the total equine population. Many of the other breed registries that do allow AI report that the number of foals conceived using AI is minimal. The lack of interest by horse breeders in using AI is evidenced by the smaller amount of research dedicated to developing AI technologies for horses in contrast to other livestock, particularly cattle. Research in equine AI technologies lags far behind, both in the dollar amounts spent for research and in the technologies that have. been developed. This illustrates a general principle that not until individuals are limited by their constraints will they take any action to ch,ange them. Restrictions on the use of AI are not important until individual breeders want to use it. In the late 1950s Zvi Griliches published three papers that discussed the economics of technological change, in the context of adoption patterns for hybrid com seeds by U.S. farmers. Farmers in Iowa and surrounding areas were the fastest adopters 15 of the new seed, while farmers in the Southeast and Mississippi Delta were the slowest. Griliches concludes that the difference in the rates of acceptance was the result of demand phenomena, not of different supply conditions. The rate at which farmers accept a new technology depends, among other things, on the magnitude of the profit to be realized from the change over. This in turn depends on the absolute superiority of the new product. The next paper reviewed, "The Role of Market Forces in Assuring Contractual. Performance" by Klein and Leffler, argues that regulations may not be necessary to ensure contractual performance. The authors describe how advertising, name brands and other non-salvageable firm-specific capital investments are guarantees to consumers that the firm is committed to long-term continued production of high quality goods. The development of AI technology and shipped semen in particular, while reducing certain costs of production, also increased the possibilities for fraud. Klein and Leffler's argument would hypothesize that a stallion owner who has invested a substantial amount of money into firm-specific capital is less likely to engage in fraudulent transactions than a stallion owner who has made little or no investment in firm speci~c nonsalvageable capital. The influence of relative performance on AI restrictions is based on theories already developed in the sports economic literature. Dougan and Synder determine that if sports fans derive satisfaction simply from watching a talented home team, then the competitive equilibrium is efficient. If fans also care about their team's performance relative to the rest of the league the unrestricted equilibrium will generally not be 16 efficient. In this situation, restrictions on competition can improve social welfare. The demand for winning teams generates externalities that render the purely competitive equilibrium suboptimal. This situation is described in a micro economics text written by Frank (1991) which provides the following explanation for positional externalities: if A and B are competing for a prize that only one of them can attain, anything that helps A will necessarily harm B. Competitors will continuously invest in developing their skills in order to increase their chance of winning. Being slightly better than all opponents generally enables the winner to claim a major portion of the receipts. When participants decide how much to invest in developing their skill, they do not take into account the cost their action imposes on all the other participants. Therefore an individual's marginal cost of developing skill will be lower than the social marginal cost. From society's perspective of the participants as a whole, the individual will be overinvesting in developing higher skills. To prevent overinvestment, team owners have an incentive to agree with each other to create restrictions that reduce the incentives to overinvest in developing skills. Horse competitions are no different than other sporting events in this respect and restrictions on AI may serve the same purpose as limits on team practice times, team sizes, and total team salaries do in the context of major league sports. Related Literature Margaret Ray wrote a number of papers in the late 1980s on various aspects of the· equine industry. One paper that she co-authored with Paul Grimes is an empirical analysis of breeding regulations in the horse industry. They assert that breeders abiding by regulations set forth by breed registries effectively act as if they were members of a 17 cartelized industry. The primary feature of a successful cartel is its ability to raise the industry price and generate additional revenues for its members. The more inelastic the demand curve facing a cartelized industry the greater the profits rewarded to each firm. The authors conclude that the more inelastic the demand is for a breed's foals the more likely the breed registry will be to impose AI restrictions. Coehlo and McClure (1987) address the monopoly status enjoyed by the Jockey Club in regulating the Thoroughbred racing industry. They conclude that prohibiting AI limits the annual availability ofhigh quality breeding mares and stallions. High quality refers to an animal that has had, or is expected to have, a successful track record. Coehlo and McClure focus their study on the market for high quality foals. They start their analysis with a downward sloping demand curve for high quality foals. This seems reasonable because as the number of high quality foals increases, the expected earnings to any individual foal will fall. The marginal cost of stallion services will start as a horizontal line when only high quality stallions are used, but becomes upward sloping when lower quality stallions are brought into production, reflecting the fact that a lower quality stallion must sire more foals to produce a foal at the level of the average foal sired by high quality stallions. A similar marginal cost curve will exist for mares. The rising marginal cost curves lead to the accumulation of economic rents. The authors argue that these rents are capitalized into the price of the animal. Introducing AI would allow each high quality stallion to produce more foals and may also increase the number of high quality mares used because location would not be a binding constraint. This would extend the horizontal portion of the marginal cost curve and lower 18 . the rents accumulating to current horse owners. Consequently, Coehlo and McClure argue that the Jockey Club has no incentive to adopt AI into their breeding regime. An article published in the Maryland Horse, "As Opposed to Thoroughbreds, Standardbreds Getting Faster", compares the winning times of Standardbreds and Thoroughbreds over the last hundred years. It is evident that Standardbreds are getting faster while Thoroughbreds are not. The winning times of Thoroughbred races are not significantly different from those recorded a century ago. In sharp contrast, the winning times of Standardbred races are considerably faster than those recorded fifty, even twenty, years ago. In the past seventy years many Standardbred race times have dropped by a full twenty seconds. New technologies such as better running surfaces and redesigned racing equipment have undoubtedly played an important role in these faster times. The article postulates that similar technological developments, like improved track surfaces, must also have entered into the Thoroughbred industry; "they [Standardbred technology developers] can't be that smart". The article concludes that the widespread introduction of AI into the Standardbred breeding regimen in the early 1970s is largely responsible for the dramatically improved finishing times. The next chapter will determine whether consumers value these faster horses. 19 CHAPTER4 THEORETICAL MODELS AND EMPIRJCAL TESTS This chapter presents testable hypotheses and theoretical models developed to explain artificial insemination regulations. Empirical results are reported following a discussion of each hypothesis. Opportunistic behavior and the rewards of successful fraudulent transactions are considered first. Next, a monopoly model developed by Ray and Grimes (1991) to explain AI restrictions in 1985 is re-evaluated using 1995 data. To resolve questions arising from the monopoly model the issue of relative versus absolute performance is then introduced. Finally, a model that incorporates all three explanations is developed and tested. Opportunistic Behavior I: The Advent of Affordable DNA Genotyping "Opportunistic behavior typically involves reneging on contracts or promises with the intent of extracting a larger share of the rents generated in the transaction." 1 If all horses were identical, or if perfect information were to exist, opportunistic behavior would not be a factor in the present analysis. But horses are not identical and gathering information on the specific attributes of a horse is costly. Genetics play a central role in evaluating a foal's potential to perform a specified task. Where genetics are important, 1 Carlton and Perloff. (P.451) 20 natural cover, with witnesses, guarantees lineage. When transported semen is used no one witnesses the copulation of a particular stallion with the mare. The party receiving the semen shipment relies on the integrity of the supplier to send the semen contracted for. "Quality cheating problems are less severe the higher the level of quality that can be detected prepurchase. " 2 There is no way for a mare owner to determine with certainty the source of the semen that arrives in a test tube. Discovering that a foal is not the progeny of a specific stallion is costly to the mare owner both because the foal is not what was contracted for, and because a full year will pass before the mare is able to produce another foal. Therefore, stallion owners must demonstrate to consumers a commitment to complete the transaction honestly. Stallion owners interested in establishing reputations for quality and honesty invest heavily in firm-specific capital. Brand names, expensive signs, fancy logos and personalized carpets are examples given by Klein and Leffler of firm-specific capital investments. Firm specific capital investments are nontransferable and nonsalvageable costs. A firm that has invested heavily in firm-specific capital has significantly raised its costs of cheating. Stallion owners establish name brands based on the ability of their stallions to produce offspring of high quality consistently. Almost every breed registry publishes a journal for its members. Stallion owners pay to advertise their stallions qualifications and accomplishments in these journals. Some stallion owners offer to pay for advertisements 2 K.lein and Leffler (1981). 21 announcing the accomplishments of their stallions progeny. Additionally, stallion owners may offer to pay their offspring's entry fees to shows and races because successfully competing offspring advertise the stallion. Often the names of the offspring include an obvious reference to their sire, for example Slewacide, Slew City Slew, Slew Dancer, Slew 0' Gold, Slew's Royalty, Slew The Coup, Slew The Knight, Slew The Slewor, Slewvescent and Slewpy are all offspring of Seattle Slew, the winner of the 1977 Kentucky Derby. Every time one of these horses competes, the public is reminded by its name that it is an offspring of Seattle Slew. Product identification resulting from intensive advertising is expensive and non-recoverable in the context that the stallion owner cannot recoup any of the costs if he goes out of business. If a stallion owner is caught cheating all the money invested to establish a reputation will be lost. Futurities are another type of firm specific nonsalvageable investment that stallion owners can purchase. Futurities are competitions that are open to offspring of nominated stallions only. The cost to an owner of registering a stallion is one breeding. An owner nominates his stallion by donating one breeding to the breed association which then offers it at auction through a write-in sealed bid. A minimum price is set (usually $1 ,000) and if the breeding is not sold the stallion is not registered as a futurity nominating stallion. Foals registered for futurities increases their marketability and so increase demand for the stallion. Once a stallion has been registered as a futurity producer all his offspring are eligible to participate in futurity events. Participation in futurity events is both prestigious and financially lucrative to the top placing horses. If a stallion owner chooses to register his stallion as a futurity horse he has invested a 22 substantial amount of money in a nonsalvageable product to produce higher valued offspring. Registration as a futurity stallion is another form of firm-specific nonrecoverable capital investment because registration is not transferable to another stallion and a stallion owner cannot unregister his horse and recover the fee paid to register it. A stallion owner who has invested in registering his horse as a futurity horse is unlikely to substitute semen from a low-quality stallion because if the offspring are not of sufficient quality to compete successfully at futurity events, then demand for the stallion will fall. Though there is no viable process to identify the source of semen in a test tube, the advent of affordable DNA testing in 1985 made it much cheaper for consumers to detect inaccuracies in lineage once the foal has been born. In 1985 Dr. Kary Mullis, of Cetus Company, invented the polymerase chain reaction (PCR) method for selectively targeting DNA sequences. PCR is a process that generates multiple reproductions of a single DNA strand. Using PCR, scientists can amplify a minute amount of DNA (less than lOOng of DNA is sufficient) to create enough DNA strands to conduct identification tests. Scientists then look at a minimum of ten different DNA regions, or loci. At each loci the offspring gets two alleles, one from each parent. For example, if the sire has alleles A&B and the dam has alleles C&D then any offspring's locus must be, with equal probability, A/Cor AID orB/Cor BID. Animals related as parent and offspring must share an allele, and two animals that do not share an allele for a locus cannot be parent and offspring. Until recently, blood typing was the common method of parental verification available to breed registries when a foal's lineage was in question. Blood typing, or any 23 other parentage verification test (including DNA testing), does not absolutely prove parentage; it verifies whether or not !:!: was possible that a specific mating produced a specific offspring. 3 Genetic researchers have calculated traditional blood typing used to detect incorrect paternity (or maternity) to be about 96 percent effective4 in Thoroughbreds and Arabians, and as high as 98 percent effective in other U.S. breeds such as Standardbreds, Morgans, Quarter Horses, Paso Finos and Peruvian Pasos. DNA genotyping is substantially more accurate at identifying mistakes in lineage records. DNA genotyping raises these numbers to 99 percent for Thoroughbreds and Arabians and as high as 99.9 percent for the other breeds. 5 With the discovery of PCR, breed registries concerned that unrestricted use of AI might increase the potential number of fraudulent registrations now had access to a cheap and accurate procedure to identify erroneous registrations easily. Currently it costs a horse owner $50 to conduct either a DNA genotyping test or a blood typing parental verification test. Although the cost to the horse owner is the same, DNA genotyping is more accurate. DNA genotyping reduces the probablity of obtaining a false test result by up to 75 percent. Traditionally, registries only required blood testing when questionable circumstances arose, but within the last four years there has been a strong movement among most of the breed registries to DNA genotype all registered animals. If AI 3 American Quarter Horse Journal (1994). 4 Th,e term 96 percent effective means that if there are 100 horses for whom it is known their identity is incorrect on average 96 of the errors will be detected. 5 Bowling (1995). 24 restrictions exist to safeguard accurate records, the advent of affordable DNA genotyping should lead to their relaxation. A regression will be run to determine whether the discovery of the Taq polymerase enzyme in 1985, responsible for affordable DNA genotyping, affected the decision by breed registries to allow shipped semen. Clearly any breed registry that allowed shipped semen prior to 1985 was not influenced by the discovery ofPCR Among the breed registries that did not allow shipped semen in 1985, are there breeds for which PCR is responsible for subsequently allowing shipped semen? An affirmative answer to this question would provide empirical support for the hypothesis that the higher the likelihood of opportunistic behavior the more likely the breed registry will be to impose restrictions on AI. The following equation is estimated to determine whether PCR hastened the acceptance of shipped semen: Allow Shipping = a 0 + a 1 Allow On-Site + ~ PCR + E Where: Allow Shipping =The proportion of breed registries that allow shipped semen. Allow On-Site =The proportion of breed registries that allow on-site AI. PCR = A dummy variable for the discovery date of the Taq polymerase enzyme. = 0 for the years 1950-1984 = 1 for the years 1985-1995 A time series data set was created that starts in 1950, the year when commercial application of AI became practical, and carries through to 1995. This data set includes 25 the following annual information about the 29 breed registries in the sample: how many breed registries were in existence, whether they restricted on-site AI and whether they restricted shipped semen. A zero-one dummy variable, where one equals the years 19851995, is included to distinguish the breeds that did not allow shipping prior to 1985 from those that did. The proportion of breeds that Allow On-Site AI is included to pick up non DNA factors that influence a registry's decision to allow shipped semen. A positive sign is expected for this coefficient. If a breed registry permits on-site AI, then it is more likely to permit shipped semen than a breed not allowing on-site AI. A positive coefficient on the PCR dummy will be consistent with the hypothesis that the discovery of PCR influenced a registry's decision to allow shipped semen. A Durbin-Watson statistic of0.53 indicated that Ordinary Least Squares (OLS) estimators are inefficient. Standard t and F tests will be misleading because the computed variances and standard errors are incorrect. The Proc Autoreg procedure in SAS transforms the model, using maximum likelihood estimators, so that the error terms are independent. The estimators resulting from this transformed model will be BLUE (best linear unbiased estimators). The data are presented in Appendix A. The OLS and maximum likelihood regression results are presented below in Table 2: TABLE 2: Effect of the Discovery ofPCR on AI Regulations 26 TABLE 2: Effect ofthe Discovery ofPCR on AI Regulations Dependent Variable: Proportion ofBreeds Allowing Shipped Semen OLS Variable Maximum Likelihood Parameter Estimates T-Value Parameter Estimates Intercept 0.0072 0.352 0.1587 0.940 Proportion of 0.3751 7.481** 0.4196 4.355** 0.2991 9.622** 0.05663 2.175* T:.Value Breeds Allowing On-Site PCRDummy Number of 46 46 Observations Significance levels for one tail t-values in Table 2 are as follows: **significant at O.Ollevel; *significant at 0.05 level. The estimated coefficients for Number of Breeds Allowing On-Site and the PCR dummy both have the predicted signs and are statistically significant at the 0.05 confidence level for a one tailed t-test. The significance of the coefficient for the PCR dummy implies that the advent of affordable DNA genotyping has had a significant effect on a breed registry's decision to permit shipped semen. In fact, the results suggest that controlling for the effects of the Allow On-Site, an additional5.7 percent of the breed registries in our sample adopted AI between 1985 and 1995 as a result of the discovery ofPCR 27 Opportunistic Behavior II: Variations in Stud Fees The price of a horse reflects two separate components: first, a genetic component of price based on the animal's genealogy, and second, the amount of training the horse has received. People have expectations about the genetic traits that a foal will inherit from its parents. As the foal ages, and information is revealed regarding the foal's actual inheritance of desirable traits, the genetic component of price will rise or fall depending on whether the expectations are borne out. The training portion of price at the time of birth will be zero. If the price of a horse was entirely a function of training (genetics did not matter), then every stallion would be considered an equal breeding prospect and there would be no variation in stud fees. The potential for opportunistic behavior would be non-existent because there would be no market variation in the price of semen. At the other extreme, if the price of a horse was exactly equal to the expected value of its genetics then stud fees would vary tremendously. Conditions for opportunistic behavior are present because semen from different stallions have differing values. If AI restrictions exist to reduce opportunities for opportunistic behavior, the following is hypothesized: the greater the variation in stud fees the more likely the breed registry will be to restrict AI. This hypothesis is tested empirically using a sample of stud fees from 11 breeds for the 1995 breeding season. Data were obtained from advertisements in breed journals 28 and mail surveys sent to stallion owners. 6 The standard deviation of each breed's sample of stud fees was divided by its mean to obtain the coefficient of variation. The coefficient of variation normalizes each observation so that comparisons can be made without concern for the relative magnitude of the numbers. The following regression will be run to test the effect of variation in stud fees on a registry's level of AI restrictions: AI Score= a 0 + a 1a FIJI + E Where: AI Score =Measure of the restrictiveness ofa breed's AI regulations. (See explanation below). aFIIl = Coefficient of variation of a breed's sample stud fees. The variable AI Score compares each breed's degree of restrictiveness towards AI. An increase in the value of this variable indicates a less restrictive policy towards the use of AI. The AI Score variable is constructed from two components of equal weight; on-site AI and shipped semen. Using 1950 as the date when AI was available for commercial application, a breed registry that never restricted the use of on-site AI receives a score of 1. The score for all other breeds is determined in the following manner: if a breed registry allowed on-site AI in 1960, they have allowed AI for thirtyfive out of a possible total of forty-five years and receive an on-site AI score of35/45 = 0. 77- they have allowed on-site AI seventy-seven percent of the total time it has been 6 Considerable effort was expended to increase the sample size of this data set. The journals available from other breeds did not advertise the fees charged and surveys that were sent out were•not returned. 29 available. An identical process is used for determining the breed's score for shipped semen. The two numbers are added to obtain the AI Score for the breed. The variable will range from zero to two. A zero is assigned to any breed that has never, and still does not; permit the use of AI. The higher the variation in stud fees the more opportunity for opportunistic behavior and the more restrictive the breed will be regarding the use of AI. The prediction is for a negative sign on the coefficient of variation. OLS is not used to estimate this regression because the dependent variable, AI Score, has been truncated to take a value between zero and two. The basic assumption behind this model is that if AI score is less than or equal to zero the value of the dependent variable is set equal to zero and the expected value of the error term is no longer zero. OLS will result in estimators that are biased and inconsistent. Tobin (1958) developed a method for dealing with limited dependent variables known as Tobit models, or censored regressions. The Tobit model is estimated using maximum likelihood estimation to distinguish between those observations for which AI score is greater than zero from those which AI Score is less than or equla to zero. This procedure will yield unbiased, efficient estimators. 7 Summary statistics for the data set can be found in Appendix B. The empirical results are presented below in Table 3: 7 Pindyck and Rubinfeld (1991). 30 TABLE 3: Effect ofVariations in Stud Fees on AI Regulations Dependent Variable: AI Score Variable Intercept Coefficient of T-Value Parameter Estimate 1.484** 3.551 -1.868* -2.133 Variation Number of Observations 11 Significance levels for one tail t-values in Table 3 are as follows:*significant at 0.05 level; **significant at 0.0 I Although the limited size of the data set prevents drawing any conclusions with a high level of confidence, the coefficient does have the predicted sign and is significant at the five percent level for a one tailed t-test. To test whether the coefficient of variation is being driven by ahy outliers in the data set, the observation for Thoroughbreds, (the most obvious outlier) is dropped. Appendix B presents the results of the regressions. Dropping Thoroughbreds has no effect on the regression results until the fourth decimal place where a small change occurs. Dropping Miniatures (the other outlier) has a small effect on the parameter estimate for the Coefficient ofVariation but is still statistically significant at the ten percent level. When Thoroughbreds and Miniatures are both dropped Coefficient of Variation and Stud Fees exhibit no systematic relationship. This regression provides evidence that breeds with higher coefficients of variation have more restrictive AI policies. 31 The two different empirical models developed above both support the hypothesis that the potential for opportunistic behavior has played a significant role in the decision by a breed registry to restrict AI. The lower the cost of cheating the greater its expected rewards. Breed registries impose AI restrictions to raise the cost of cheating. When the cost of detecting cheating dropped in 1985 there was a general movement across breed registries to relax their AI restrictions. Monopolv Argument This section presents Ray and Grimes' (1991) monopoly argument for breeding restrictions and re-estimates their model using 1995 data. The equine breeding industry lends itself to classification as monopolistic competition. Hirshleifer and Glazer (1991) define monopolistic competition as follows: In the market structure known as monopolistic competition, it is assumed that-as in pure competition-firms do not collude on price or quantity, and that free entry into the industry (or exit from it) is possible. The monopolistic element in monopolistic competition is product differentiation: each firm has its own unique variety of product. Each enterprise has a clientele that prefers the firm's product even if another firm offers a similar product at a lower price. Stallion owners have an individualized input that they provide. Mare owners seek out a particular stallion because it has a known history and temperament that they believe best complements their mare. Horse breeders are not a homogeneous group and stallion owners have differentiated their product. Price collusion is unlikely because producers are heterogeneous and specialize in offering individualized products to consumers. There are close-though not perfect-substitutes for each stallion. 32 Carlton and Perl off (1991) write "an association of firms that explicitly agrees to coordinate their activities is called a cartel-a cartel that includes all firms in an industry is effectively a monopoly." The primary feature of a successful cartel is its ability to raise the industry price and generate additional revenues for its members. The more inelastic the demand curve facing a cartelized industry the greater the profits returned to each firm. Ray and Grimes argue that each breed registry is able to operate with a degree of monopoly power because all breeders who wish to produce registerable foals must abide by the registry's by-laws, in effect coordinating to form a cartel. The authors conclude that the more inelastic the demand for foals of a particular breed the more likely that breed's registry will be to restrict AI (the rewards for effectively cartelizing will be larger). They suggest that the price elasticity of demand for foals can be viewed as depending on the function for which the horse is being bred. They hypothesize that the more specialized the task a horse is expected to perform the smaller the degree of substitutability with other breeds, and therefore the more price inelastic will be the demand for foals within the breed. To test their hypothesis empirically they estimate the equation given below. The independent variables were chosen to reflect both the elasticity of demand for the breed and other factors inherent in a monopolistically competitive market i.e. the number of potential beneficiaries of the regulation, the homogeneity of interests among members, and the level of concentration in the industry: 33 AI= o: 0 + o: 1Age + o:2Shows + o:3Races + o:4Members + o:5Govern + e Where: AI = A dummy variable for AI regulation l = breed registry restricts AI 0 = breed registry does not restrict AI Age = The age of the breed registry (Years) Shows = A dummy variable for breed only shows 1 = breed registry sanctions breed only shows 0 = breed registry does not sanction breed only shows Races = A dummy variable for breed only races l = breed registry sanctions breed only races 0 = breed registry does not sanction breed only races Members = A dummy variable indicating the relative size of the registry 1 =breed registry has less than 1500 members 0 =breed registry has more than 1500 members Govern =A dummy variable representing the decision making process of the registry 1 = majority of votes by all members . 0 =majority vote by a central board of directors Ray and Grimes offer the following explanations and predictions for each explanatory variable. AI is a dummy variable indicating whether or not the registry placed any restrictions on artificial insemination for the 1985 breeding season. No distinction is made between a registry that prohibits all forms of AI and one that allows on-site use but no shipping. Also no distinction is made with respect to the timing of when AI was allowed. Age is included to measure the concentration of a breed and a negative coefficient is predicted. The authors argue that the older a breed, the less concentrated. it 34 coefficient is predicted. The authors argue that the older a breed, the less concentrated it will be, and therefore the less likely the breed will be to regulate AI. This conclusion implicitly assumes that breeds will diffuse geographically over time. The authors do not specify further the assumptions that led to this conclusion. Additionally, this assumption contradicts empirical conclusions presented by Ray in her dissertation (1988) where she showed that the geographical concentration of Quarter Horses actually mcreased between 1980 and 1987. Shows and races are included to capture the level of specialization relating to the elasticity of demand for the breed and positive signs are predicted for both. If a registry sanctions one (or more) show(s) or race(s) they are assigned a one respectively for the Shows or Races dummy variables. No distinction is made between a registry that sanctions one show a year and a registry that sanctions two thousand a year. Ray and Grimes hypothesize that the demand for a foal registered with a breed registry that sanctions its own shows or races will be more inelastic than one that does not sanction any shows and races. The more inelastic the demand for the breed the ·more likely the registry will be to regulate AI. Membership size and the manner in which the breed is Governed are included to reflect homogeneity of interests of members. Negative signs are predicted for both coefficients. The authors suggest that breeds with smaller memberships are newer and face more elastic demand schedules. They argue that these breeds are interested in expanding their population base and AI is an efficient way to accomplish this. The argument contradicts the authors reasoning for the Age variable that older breeds are less 35 likely to restrict AI than newer breeds. The Govern variable is included to account for the decision making process of each breed; a centrally elected board of directors versus one member-one vote on each issue. The authors predict that a centrally elected board of directors will be more likely to coordinate themselves (act as a monopoly) and will be able to regulate AI more easily than registries where each member votes on every issue. In the ten years between 1985 and 1995, a substantial number ofbreed registries have changed their regulations governing the use of AI. The regression is re-estimated using data from 1995. Ray and Grimes use univariate probit techniques to estimate their regression and the same is done for the 1995 data. The results from both regressions are provided in Tables 4 and 5. TABLE 4: Ray and Grimes Monopoly Model1985 Data8 Dependent Variable: AI Dummy PROBIT OLS Variable Parameter Estimate Intercept 0.43 1.61 * -0.38 -0.33 Age -0.04 -1.87* -0.02 -1.77* Shows 0.13 0.67 0.62 0.58 Races 0.24 1.25 1.15 1.37* Members -0.23 -1.35* -0.81 -1.38* Govern -0.24 -1.40* -0.90 -1.41 * T-value Parameter Estimate T-value F-Value 4.22 Chi-Square 17.68 R2 0.47 Prediction 83% Significance levels for one tailed t-values in Table 4 are as follows: *significant at 0.1 level 8 The regression results from 1985 are reproduced from the Ray and Grimes paper. 36 TABLE 5: Ray and Grimes Monopoly Model1995 Data Dependent Variable: AI Dummy OLS PROBIT Variable Parameter Estimate T-value Parameter Estimate T-value Intercept 0.0779 0.637 2.573 1.842* Age 0.012 0.601 -0.017 0.616 Shows 0.003 0.820 -0.0014 0.758 Races l.lxl05 1.808* -0.0018 0.808 Members 4.2x107 0.137 l.lx1 05 0.841 Govern -0.216 -1.117 12.270 0.977 F-Value 2.506 Chi-Square 10.437 R2 0.2207 Prediction 87.7% Significance levels for one tailed t-values in Table 5 are as follows: *significant at 0.1 level All the coefficients in Table 4 have the signs predicted and four of the variables, Age, Races, Members and Govern are significant at the 0.10 level for a one tailed t-test. When the equation is estimated using analogous data from 1995 9, none of the coefficients are significant at the 0.10 confidence level. The poor empirical results are not surprising given the questionable explanations and predictions for the explanatory variables. The question is whether the variables or the theory need amending. The following discussion suggests that there are problems with 9 Ray and Grimes use a sample of30 breed registries in 1985. The 1995 data set contains information on 29 breed registries, 18 that are the same. The 1995 sample contains different breeds because those from the 1985 refused to return the questionnaire. 37 the theory. In a traditional monopoly model where there is only one seller, or a group of sellers who operate as one, the producer will always adopt a technology that lowers his costs. Figure 1 diagrams the monopolist condition. Figure 1: Monopolist and Cost Reducing Technology Proals MCNOAI MCAI I I I I I'\ I \ II I , \ , .MR ' QNOAI QAI C:D D Qfoals Profits without AI ~ Profits with AI A monopolist will always produce where marginal revenue is greater than zero and demand is inelastic. Anywhere in the inelastic portion of the demand curve, lowering price and increasing quantity always incre/ases revenues. Marginal costs decrease with the introduction of a new technology and under normal circumstances total costs will fall accordingly. Total profits (total revenues minus total costs) must be greater with the new, lower marginal cost, technology. Stating that breed registries restrict AI and do not allow 38 the marginal cost curve to fall because they have monopoly power seems implausible. A resolution to this seeming contradiction will be offered, but the concept of relative performance must be introduced first. Relative Versus Absolute Performance The rewards to most athletic competitions and contests are awarded on the basis of relative performance. The winner outperforms all other contestants in a particular meeting. Because the winner has to perform better than all the other contestants entered, each contestant has an incentive to devote significant resources to becoming better. Any individual who improves his skills and is able to increase his chance of winning imposes a cost on all other contestants.· If two contestants, A and B, have equal probability of winning, and A is able to increase his chance of winning from 0.5 to 0.75, then B's chance of winning must fall from 0.5 to 0.25. This external cost is referred to as . a positional externality. Frank (1991) defines positional externalities as any type of performance enhancing activity that decreases everyone else's chance of winning. Each individual will continue to invest in developing his skills until his expected earnings equal the additional private cost of achieving that level of performance. From society's point of view the individual will overinvest in developing skills because he will not take into account the additional cost his actions impose on the other contestants. The marginal social cost of his action will be higher than his private marginal cost. It is this disparity between the private and social marginal cost curves that leads to a plausible monopoly based story to explain AI restrictions. In an extreme case, where only relative performance matters, an increase in 39 absolute skill levels will not affect the total rewards available. The quest to produce faster horses yields no real benefits for race horse owners as a whole because consumers do not value improved performance levels per se. There is no increase in demand as skill levels increase. Without increased consumer demand the total amount of rents available to the industry does not change. Resources expended by individual competitors to develop higher skill levels dissipate any rents available to the industry. In this situation, firms in the industry may be able to limit rent dissipation by restricting the use of technologies that serve to ehance performance. Artificial insemination is used by livestock breeders as a performance enhancing technology to increase rapidly the genetic base of a herd. Where relative performance matters incentives exist to restrict p~rformance enhancing activities and one would e~pect to find restrictions on the use of AI. At the other extreme, in a world where only absolute performance matters, one person's success does not affect anyone else's chance of succeeding. Any individual who satisfies a defmed objective standard receives the designated reward without lowering what is available for anyone else. Private and social marginal costs are equal and there are no positional externalities. In this situation the industry has an incentive to promote the adoption of performance enhancing technologies because everyone gains from them. One would not expect to fmd restrictions on the use of AI. This is the situation described above where an ordinary monopoly will always adopt a technology that lowers marginal cost. A registry will only want to restrict AI if its use as a performance enhancing 40 technology creates additional externalities that cause the social marginal cost curve to shift up, even though the private marginal cost curve shifts down. Figure 2 diagrams this situation. The individual will continue to invest in producing a faster horse until his private marginal cost (MPC) equals demand. As is illustrated in Figure 2 this occurs to the right of the socially optimal amount of skill development. If artificial insemination results in additional performance enhancing positional externalities and marginal social costs (MSC) increase, the difference between private optimal skill development and the social optimum will widen. In this situation a registry will have considerable incentive to restrict AI. 41 Figure 2: Positional Externalities Associated with AI pskill developmmt MPCAI Osocial Qprivatc Qskill developement If a registry is going to restrict AI it must possess some form of power over its members. Consider two ways a registry acting with monopoly, or cartel, power can restrict output. Either the registry cari operate as an effective cartel and restrict output directly or it can operate as a partial cartel and restrict any technology, or performing enhancing technologies, that serve to increase output. Some breed registries did restrict output directly. These registries specified a limit on the number of foals they would register from any one stallion. In 1994 a group ofMorgan breeders brought legal action against the Morgan Association claiming that restricting the number of foals they could registerwas in violation of the Sherman Anti-Trust Law. The Association backed down and eliminated its limit on the number of foals it would register annually. All other breed 42 registries that had similar restrictions abolished them quickly. 10 In a partial monopoly the registry is unable to restrict output directly, and instead prohibits the use of the performance enhancing technology. These registries simply do not allow breeders to use AI. The following figures illustrate the two types of monopolies. Figure 3 illustrates an effective cartel and Figure 4 illustrates a partial cartel. 11 Figure 3: Effective Cartel p skill development ' '' '' ' ' ' ' MPCAI ' Qeffective cartel ' D \MR private QNO AI Qprivate AI Qskill development 10 Information obtained from conversations with Terry Threlkeld, the owner of Goin' for Approval, the 1995 World Champion Appaloosa stallion. 11 For simplicity this analysis assumes parallel shifts of the marginal cost curves. 43 Figure 4: Partial Cartel p slcill development MPCAI '' ' \MR private Q private Q partial cartel Q N0 AI AI D Qslcill development These figures illustrate situations when a registry will want to restrict AI. In both graphs the distance between the social optimum amount of skill development and the private amount of skill development is smaller when AI is restricted than when it is not. To conclude this discussion, however, it is imperative to prove that relative performance is important to horse owners. 44 Relative Versus Absolute Performance I: The Importance ofWinning The monetary rewards of owning a race horse are determined by competitions based on relative performance, where ·a slightly faster horse will capture the majority of the purse money. Usually the purse is divided so that the winner receives between sixty and seventy-five percent of the total purse money available, second place receives ten to twenty percent and the remaining money is given to the third place finisher. The purse for a race is determined in advance by the race track. Most tracks advertise the purses for individual races before the racing season begins. Each purse is offered based on the track's expected earnings for that race. Earnings are generated by consumers through attendance fees, simulcast royalties and money wagered. 12 Tracks reserve the right to change the purses during the season if actual revenues turn out to be significantly different from those predicted. If consumer interest in horse racing rises relative to expectations, for example, track revenues increase and the purses offered may be augmented. It is not uncommon for racetracks to announce mid-season that all advertised purses for the following week are being raised (or lowered) by, say, five percent. 13 The link between consumer demand and purse is important for the analysis that follows because purse will be used as a proxy for consumer demand. This section hypothesizes that restrictions on the use of artificial insemination exist in an attempt to preserve rents and minimize resources spent 'trying to win'. The 12 Simulcasting royalties are generated when a track sells the rights to broadcast its races live to other racetracks, bars, casinos etc. 13 Information obtained through phone conversations with a librarian and researcher at the at the Keeneland Library in Lexington, Kentucky. 45 restrictions are in place to prevent artificial insemination from acting as a catalyst to hasten the production of ever faster horses. In support of this hypothesis it will be shown that a horse's record of wins brings additional market value not already captured in career earnings. Once it has been established that winning, ceteris paribus, is economically important to horse owners, the assertion that AI restrictions are in place to minimize overinvestment in skill development is, at the least, plausible. To test the economic importance of winning to race horse owners, a regression is run using advertised stallion fees (stud fees) as a measure of a horse's value. A stallion's own racing record and his ability to produce successfully performing offspring are determinants of the stud fee. A horse's racing record is measured by total career earnings and the number of races won, together with information regarding how many years the horse raced and the number of races run. A horse's career earnings are determined by the number of races run and its placing in each race. The following regression is run to establish those aspects of a stallion's racing record that are important in establishing stud fees. For present purposes only stallions that have recently started breeding and for which information about their offspring is not yet available will be used. Once a stallion has sired a significant number of racing offspring, the success of these offspring will supersede the stallion's own record in establishing its stud fee. In general, stallions do not race and stand at stud simultaneously. A stallion's career as a breeding stallion usually begins after he stops racing. Information regarding the success of his offspring will not be available for at least 46 three years from his first year at stud. Stud Fee = a0 + a 1 Career Earnings+ a 2 Number ofYears Raced+ a 3Number of Wins + a 4 Number of Starts + a5 Livefoal Guarantee+ a6 Nomination to the Breeders Cup + E Where: Stud Fee = The 1995 stud fee for a particular stallion Real Career Earnings =The stallion's total career earnings (in millions) 14 Number of Years Raced =The number of years the stallion raced Number of Wins = The number of races the stallion won Number of Starts = The number of races the stallion entered Livefoal Guarantee = Dummy variable set equal to one if the stud fee includes a livefoal guarantee Nomination to Breeders Cup =Dummy variable set equal to one is the stallion's offspring are nominated to the Breeders Cup A positive sign is predicted for the coefficient on Career Earnings. Stud fees, as a proxy for a stallion's value, should be higher for a horse that won more money over its lifetime than another horse who, all else equal, made less money. Holding wins and earnings constant, a negative sign is predicted for Number of Years Raced-a horse that runs very successfully its first or second year on the track is likely to be retired to avoid the risk of a bad season or injury. Similarly, holding the number of wins and total earnings constant, a horse that runs in more races is unlikely to be as valuable as a horse 14 Real Career Earnings are adjusted using the chain price index where 1992=100. 47 who ran in fewer races. Correspondingly, a negative sign is predicted for Number of Starts. The Livefoal guarantee dummy is included to account for the effect such a guarantee has on stud fees. Livefoal guarantees are a type of insurance contract and vary in their individual specifications. Some stallion owners offer a free breeding in the following season if a live foal is not produced; others do not require payment of the stud fee until the foal stands and nurses. Regardless of the precise specification, the livefoal guarantee should have a positive effect on stud fees.because the breeder does not have to bear the risk of paying for a stallion's services and not have the mare produce a healthy foal. Nomination to the Breeder's Cup is also predicted to have a positive effect on stud fees. The Breeder's Cup races are the most prestigious series of races for Thoroughbreds. Only foals born from registered stallions are eligible to participate in the Breeders Cup races. This nomination should confer additional value on each foal. The Number ofWins is the variable of primary interest in this regression. If the coefficient is both positive and significant this provides empirical evidence that, ceteris paribus, the more wins a stallion has the higher the stud fee charged for his service. This is central to supporting the hypothesis presented earlier. If winning is an important determinant of value, this is evidence that relative performance matters. This in turn supports the argument that positional externalities are present in the horse racing industry and that private marginal and social marginal cost curves diverge. A data set was constructed that contains information on the services of 219 active breeding stallions advertised for the 1995 breeding season. The data were gathered 48 from The Blood-Horse Stallion Register for 1995, a publication devoted to the Thoroughbred racing industry. Statistical tests were conducted to determine the appropriate functional form for the equation. There was no theoretical justification for a specific functional form and a logarithmic-linear specification was chosen based on the criteria of minimum residual sum of squares developed by Box and Cox ( 1964) and discussed in Rao and Miller (1971). The data set and summary statistics can be found in Appendix C. The OLS results of the regression are presented in Table 6: TABLE 6: Winning and Its Effect on Stud Fees Dependent Variable: Natural Logarithm of Stud Fee Variable Parameter Estimate T-Value Intercept 7.060 24.851 ** Real Career Earnings 0.581 9.389** Number of Years Raced -0.122 -2.358* . Number of Starts -0.010 -2.042* Number of Wins 0.038 2.148* Livefoal Guarantee 0.595 3.214** Nomination to the Breeders Cup 0.387 2.388* 49 F-Value 33.341 Adjusted R2 0.4709 Number of Observations 219 Significance levels for one tail t-values in Table 6 are as follows: *significant at 0.05 level; **significant at 0.01 level. The estimated signs on the coefficients all carry the predicted signs and all the variables are significantly different from zero at a 0.05 level. Career Earnings, not surprisingly, is an important determinant of stud fees. The coefficient can be interpreted to read that an additional million dollars in earnings will raise the stud fee by 58 percent. The variable of interest, Number ofWins, does have a significant effect on stud fees, ceteris paribus. The coefficient on Number of Wins implies that each additional win raises the stud fee by 3.8 percent. 15 The above empirical results support the hypothesis that industry participants are rewarded for owning race horses that win. The incentive to overinvest in developing faster horses is present. It seems reasonable to assert that AI restrictions imposed by the Jockey Club serve the same purpose as restrictions imposed by major sports leagues to limit the amount of investment spent to develop skill levels. While each individual has the incentive to be better than everyone else, an industry wide attempt by everyone to become better will result in an overall field of better performers without providing additional rewards, while many of the rents expended to produce better performers are a 15 The regression was run including offspring data for each stallion and this information dominated the stallion's own racing record. For the purposes of this hypothesis the offspring information did not provide any additional explanatory power. 50 net loss to the industry as a whole. Relative Versus Absolute Performance II : Standardbreds Versus Thoroulilibreds The Standardbreds are another breed with an extensive racing industry. Standardbreds are split into two categories, trotters and pacers, a difference in the movement and speed of the gait. Instead ofbeing ridden Standardbreds pull a sulky (cart). The Standardbred breed, descended from Thoroughbreds, was developed in the United States. Like Thoroughbreds the financial rewards of owning a Standardbred race horse are determined on the basis of relative performance. Unlike the Jockey Club, however, the United States Trotting Association (the governing body for Standardbreds) does not restrict AI. Figure 5: Finish Times Kentucky Derby and Kentucky Futurity 135~~---.--.---r-~--~r--r-~---r~ Bo I ~I I. 111 I I I I I I I ~ [=t~71;i~~"::J,~At-J.:-~--=~=r=j Cf.l "0 s= 125 ~120r===r---j--lf-~~~~~~~~~J[J:~ <1) 115 CTI---t-t-++~-~LJ 110+---~--~--~~---+---+---r---r--;-__, 1900 1920 1940 1960 1980 Year - Kentucky Derby - Kentucky Futurity 2000 51 The finish times of major Thoroughbred races are not much different than those recorded a century ago. The finish times of Standardbred races, on the other hand are substantially faster than those recorded as recently as two decades ago. The tremendous improvement in Standardbred finish times, as compared to Thoroughbred finish times is unquestionable. A comparison between the Kentucky Derby (a Thoroughbred triple crown race) and the Kentucky Futurity (a Standardbred triple crown race) illustrates the striking difference. In 1911 the winning time for the Kentucky Derby was 2 minutes 5 seconds. In 1995 the winning time was 2 minutes 11/ 5 seconds. The winning time for the Kentucky Futurity in 1911 was 2 minutes 71/ 2 seconds. In 1995 the winning time was 1 minute 5J2/5 seconds. Figure 5 graphs the finish times for both races for the years 1911 through 1995. There is no single explanation as to why Standardbreds are running faster. Improvements in equipment and track surfaces undoubtedly have played an important role, but as stated in the literature review, Thoroughbreds have not been isolated from similar technological improvements. An article published in Maryland Horse, "As Opposed to Thoroughbreds, Standardbreds Getting Faster," hypothesizes that the widespread use of artificial insemination in Standardbred breeding practices is largely responsible for the rapid improvement in Standardbred finishing times. It is beyond the scope of this thesis to determine the actual contribution of each factor to improvements in Standardbred finishing times. Instead, taking as given that Standardbred horses are improving in their absolute performance while Thoroughbreds are not, this section seeks 52 to determine whether consumers of horse races value, and reward improvements in, absolute performance in an activity in which winnings are allocated on the basis of relative performance. The following empirical test, using the Kentucky Derby and the Kentucky Futurity, is designed to measure whether the improvements in absolute performance experienced in the Standardbred industry have resulted in increased consumer demand for Standardbred racing. These two particular races were chosen because they are races of comparable caliber, and are held in close proximity to one another. The locational proximity of the two races eliminates any population and income disparities that might otherwise influence consumer demand if the two races being compared were run in different parts of the country. Therefore, the empirical specification below does not include demographic or income variables. The following regression is run to determine whether Standardbred racing has attracted more consumer demand due to the decrease in its finishing times relative to Thoroughbred racing. Purse SB t = a 0 + a 1 Finish Time SB t + PurseTB Finish Time TB E Where, for year t: Purse SB t. Purse TB = The ratio of the purses for each race Finish Time SB t Finish Time TB = The ratio of fmishing times for each race 53 Purse is used as a proxy for consumer demand. The change in consumer demand for Standardbreds relative to Thoroughbreds is measured in the Purse ratio. The Finish Time ratio measures how the purses for Standardbred races have changed as a result of their improved finish times relative to Thoroughbreds. Ifthe estimated coefficient on the ratio of Finish Times is negative and significant, the implication will be that consumer demand for Standardbred racing has increased relative to consumer demand for Thoroughbred racing in reponse to the increased speed of Standardbreds. Such a result would indicate that consumers value absolute performance. The data set was collected from various sources. The Kentucky Derby information came from a Churchill Downs publication, "One Hundred and TwentySecond Kentucky Derby" that chronicles the race since its first running in 1875. Information on the Kentucky Futurity came from the Horseman and Fair World, a weekly publication dedicated to the Standardbred racing industry. All dollar values are adjusted using the chain price index where 1992=100. A Durbin-Watson statistic of 0.724 indicated that OLS would not produce efficient estimators. Maximum likelihood estimation was used in the following regressions to produce BLUE estimators. The· data set can be found in Appendix D. The results of the regression are presented in Table 7: 54 TABLE 7: Faster Horses and Their Effect on Purses Dependent Variable: Purse Ratio Variable Parameter Estimate T-value Intercept 0.288* 6.366 Finish Time -0.008 Number of Observations Adjusted R 2 -1.088 60 0.7255 Significance levels for a one tail t-test in Table 7 are as follows: *significant at 0.05 level. The sign on Finish Time is negative, but not significantly different from zero. These results imply that absolute performance is not important to consumers. These results combined with the earlier results provide evidence that relative performance influences the decisions ofbreed registries. If positional externalities exist with artificial insemination such that marginal social costs rise, then, knowing that relative performance matters, a breed registry that can operate with monopoly power will restrict AI. Extending the Monopoly Model to Include Alternative Explanations This section develops and estimates a model that combines the monopoly hypothesis with the opportunistic behavior and relative performance explanantions for AI restrictions. It is anticipated that this expanded model will improve the explanatory power of the original monopoly model. The two opportunistic behavior tests-the advent of cheap DNA testing to identifY inaccurate paternity (and maternity) records, and the coefficient of variation in stud fees, are added to the variables included in the monopoly model discussed earlier. 55 The hypothesis remains that the more favorable the conditions for opportunistic behavior the more likely the breed registry will be to restrict AI. The variables from the monopoly model are the age of the breed, the number of shows and races sanctioned by the registry and the size of the membership. The Govern variable is included as another monopoly variable where the prediction is, a board of directors will be able to issue monopoly type regulations more easily than a registry with a one member-one vote governing policy. The AI score variable used for the regression in Table 3 is used as the dependent variable. This specification scales the level of restrictiveness of each breed, with the variable ranging from zero to two, where two indicates that the breed has never restricted AI in any form and zero indicates that the breed has never, and still does not, permit the use of AI in any form. The following equation will be estimated using data from 1994: AI score=a 0+a 1Age +a2Shows+a3Races+a 4Members +a5Govern +a6PCR +a7oF/Jl + e Where: AI score = A measure of the degree of restrictiveness of a breed registry towards AI Age =Age of the breed registry in 1994 Shows = The number of shows sanctioned by the registry in 1994 Races = The number of races sanctioned by the registry in 1994 Members = The membership size of the registry in 1994 Govern =A dummy variable reflecting the governing structure of the registry PCR = A dummy variable measuring whether PCR affected a breed registry's decision to allow unrestricted use of AI oF/).!. = Coefficient of variation of 1994 stud fees 56 Shows and Races capture the effects of relative performance and monopoly power without an obvious way to separate out the individual effects. Both theories predict that the greater the number of registry sanctioned shows and races, the greater the restrictions placed on AI. The monopoly explanation rests on the hypothesis that the more shows and races sanctioned, where substituting a horse from another breed is not an option, the more inelastic the demand for a horse of that breed and the more likely the breed will be to restrict AI. The relative performance argument hypothesizes that where relative performance is important, i.e. there are many breed only sanctioned shows, the more likely it is that the breed registry will restrict AI. Therefore a breed is going to be more restrictive of AI if it sanctions a large number of shows and races where the winner is decided on the merits of relative performance. Negative signs are predicted by both theories for both variables. The Members variable is included as a monopoly variable. In general, the larger a group of individuals who have to cooperate the less likely they will be to form an effective monopoly. The a priori prediction for the Members coefficient is that it will be positively signed. The larger the membership of the breed the less restrictive the registry will be towards AI. The Govern dummy variable is assigned a one where the registry is governed with a one member-one vote process and a zero when a board of directors (elected or not) governs the registry. A positive sign is predicted for Govern because the monopoly argument would hypothesize that a board of directors will be more restrictive than a whole membership vote. The PCR dummy variable essentially splits the data into two groups, early and 57 late adopters of AI. If a breed registry allowed unrestricted use of AI prior to 1985 its decision could not have been influenced by the discovery ofPCR. For these breeds the PCR dummy is assigned a value of zero. If a breed registry did not allow its members to ship semen for AI until after 1985, or still does not allow it members to use AI, the PCR dummy is assigned a value of one. The significance of the coefficient on the PCR dummy variable will indicate whether, ceteris paribus, the discovery ofPCR affected a registry's decision to allow AI. The coefficient must be negatively signed due to the definition of the dummy variable. The regression is run with these variables using a data set containing information for twenty-nine registries. Because data for Coefficient ofVariation exist only for eleven breeds, the regression will be run first without the coefficient of variation and the results are presented in Table 8a Modell pr-esents the results ofthe equation defmed above. Model 2 includes PCR interactive terms. These variables are included to determine whether the explanatory variables for breeds that adopted AI before and afterl985. In Table 8b the regression is run again including the coefficient of variation, but limited to the eleven registries for which data are available. Model 3 presents the results. To ensure that the changes in the parameter estimates are resulting from the inclusion of a new explanatory variable, the Coefficient ofVariation, and not simply resulting because of the new data set, the regression is re-run using the eleven 11 observations but the variable specification from Modell (the Coefficient ofVariation is not included). These results are presented in Table 8b, Model4. Maximum Likelihood estimators are calculated using the Tobit procedure 58 described earlier. The data set and summary statistics can be found in Appendix E. The regression results follow: TABLE 8a: Coefficients of Alternative Explanatory Variables Dependent Variable : AI Score Modell Model2 Parameter Estimate T-value -15.2373 -3.164*** -19.1894 -3.045*** 0.0087 3.532*** 0.0107 3.318*** Shows -0.0023 -4.089*** -0.0020 -3.772*** Races -0.00007 -0.252 -0.00004 -0.158 Intercept Age Parameter Estimate T-value Members 0.00002 1.385* 0.00001 0.956 Govern 0.2834 1.429* 0.6169 2.188** -5.3210 -0.504 0.0021 0.385 PCR*Shows -0.0028 -1.681 * PCR*Races -0.4977 -1.360* 0.0002 1.614* -0.8490 -2.054** PCR -1.4642 -7.868*** PCR*Age PCR*Members PCR*Govern Number of Observations 29 29 Significance levels fort-values in Table 8a are as follows: ***significant at 0.0 I level; **significant at 0.05 level; and *significant at 0.1 level. 59 TABLE 8b: Coefficients of Alternative Explanatory Variables Dependent Variable : AI Score Model3 Parameter Estimate T-value -9.0972 Model4 Parameter Estimate T-value -2.955** -8.5383 -2.153* 0.0064 3.927** 0.0052 Shows -0.0031 -5.146*** -0.0023 -4.241 * Races -0.0020 -1.933* -0.0001 -0.458 Members 0.0001 2.264* 0.00002 1.571 Govern -0.0809 -0.475 0.2458 2.088* PCR -1.3506 -7.980*** Coefficient of Variation -5.1560 Intercept Age Number of Observations -1.2565 2.457** -6.830*** 1.937* 11 11 Significance levels fort-values in Table 8b are as follows: ***significant at 0.0 I level; **significant at 0.05 level; and *significant at 0.1 level. All the estimated coefficients have the predicted signs except for the Govern variable in Model3, but the parameter estimate is not significantly different from zero. The negative coefficients on Shows and Races imply that the more breed-only events the registry sanctions, the more restrictive that breed is towards AI. The positive coefficient on the Members variable supports the argument that registries with more members are less likely to have the monopoly power necessary to restrict the use of AI. The positive ·significant sign on Govern supports the hypothesis that a registry governed by a central 60 board of directors will be more restrictive of AI. The significant and positive coefficient for the PCR dummy verifies that the discovery ofPCR had a large impact on a breed registry's decision to relax AI restrictions. The significance of the interactive terms implies that breeds that adopted AI before 1985 responded differently to the explanatory variables than breeds that adopted AI after 1985 or still have not yet adopted AI. Finally, the significance of the Coefficient of Variation variable implies that the greater the opportunities for cheating, the more restrictive the registry will be of AI. Combining variables from each individual hypothesis presented in this chapter provides a robust model to explain the different levels of AI restrictions imposed by breed registries. The significance of each of the variables representing different explanations suggests that AI restrictions exist not as a consequence of any one particular factor but of a combination of factors. 61 CHAPTERS USING AI TO IMPROVE ABSOLUTE PERFORMANCE IN OTHER LIVESTOCK INDUSTRIES The previous chapter focused on explaining AI restrictions in the equine industry. This chapter will provide a brief extension of the importance of relative versus absolute performance and apply the hypothesized predictions to other livestock industries. The hypothesis developed in the preceding chapter stated that, where absolute performance matters, AI restrictions are not likely to exist and, where relative performance matters, AI restrictions are likely to exist if the registry has the power to enact regulations. AI and the Cattle Industry Artificial insemination has become a standard breeding procedure in the cattle industry. Vials ofbull semen are shipped around the country and the world. Artificial insemination has developed into its own industry with clearing houses established to act as middlemen in artificial insemination transactions. Dairy cattlemen in the United States were quick to adopt artificial insemination. Beginning in 1906, the dairy industry was targeted by the Bureau of the Dairy Industry, a department of USDA, with programs that focused on improving the genetic potential of dairy herds. As mentioned in the introduction, by the mid 1930s, scientists in Russia and 62 easily and efficiently, and AI became available for commercial application. Dairy cattle breed registries promoted the advantages that AI offered and the first farmer-owned artificial breeding cooperative in the United States began operation in New Jersey in 1938. The increase in the average milk production per cow following the adoption of AI was dramatic. 23,671,000 cows produced 109.4 billion pounds of milk in 1940. By 1978 the number of milk cows fell by more than half to 10,848,000 while total milk production rose by more than ten percent to 121.9 billion pounds. Beef producers were much slower than dairy producers to adopt AI. Dairy cattle are handled everyday and facilities already exist to implement AI. Beef cattle are free roaming and the labor intensiveness of AI was not practical. Few beef producers expressed an interest in AI and the beef registries imposed the restriction that offspring conceived through AI were only registerable if the bull and cow were owned by the same proprietor. In the early 1950s many dairy cattlemen converted to beef operations in response to the diminishing number of dairy cattle required to satisfy the market for milk. These individuals, having previously recognized AI advantages of faster weight gain and better conception rates, soon began to put pressure on the beef breed associations to remove restrictions on AI. Converted dairy farms had the structural facilities to handle many cows individually and costs of adopting AI were not as high. Eventually, on January 15, 1968, the U.S. Department of Justice filed a complaint against the American Angus Association of St. Joseph, Missouri, charging that the restricted use of AI was a violation of the Sherman Act involving restraint of interstate trade and commerce. On July 13, 1970, the 63 Sherman Act involving restraint of interstate trade and commerce. On July 13, 1970, the Department of Justice agreed to a proposed consent judgement that terminated the antitrust suit. The Angus Association was no longer allowed to impose limitations on the sale of Angus semen. At the time the lawsuit was filed most of the eleven beefbreed registries restricted AI. By the time the lawsuit was terminated two years later all beef breed registries had eliminated AI restrictions. AI and the Poultry, Swine and Sheep Industries Artificial insemination has become the exclusive breeding procedure of the turkey industry. The breasts on male turkeys have become so large that they are.unable to mate naturally. Consequently there are no restrictions on AI use among turkey registries. For their part, chicken breeders do not use AI exclusively, but there are no restrictions placed on its use by any of the registries. The use of AI in swine became a technological option only within the last three years, chiefly because scientists had a difficult time maintaining the fertility of swine semen once it had been cooled. Currently, twenty percent of commercial pedigree swine breeders are using AI and that number is growing rapidly. The swine registries are actively promoting AI and do not restrict its use in any form. The use of AI in sheep is not widespread. Until recently it was difficult to achieve good conception rates because physical problems existed in getting the semen into a ewe's cervix. Two years ago, however, a transcervical procedure was developed that has improved AI conception rates. Like the swine registries, sheep registries are encouraging their members to adopt AI. Its use in commercial sheep breeding is expected 64 to grow. Meanwhile, no sheep registry imposes any restrictions on the use of AI. Rewards for Improving Absolute Performance An animal that is being bred for commercial production, whether it be for meat, milk, or wool, will be valued according to the market price of its output as measured in terms of quality and quantity. Genetic concepts, combined with artificial insemination, have the potential to improve rapidly those characteristics that add market value to an animal. In dairy cattle, for example, the amount of milk produced by a cow is used as the performance measure. Bulls that have consistently sired cows with above average milk production are considered more valuable and are selected for AI use. In the beef industry, standardized performance measures, for example expected progeny differences (EPDs), have been developed that rate bulls on their ability to produce offspring with above (or below) average weight gains. Turkey breeders are rewarded on the basis of the size of the breast of the bird produced. The swine industry has established standardized performance measures for hogs, national sire summaries, which serve the same purpose as EPDs. Sheep producers are either rewarded on the quality and absolute quantity of wool produced, and/or on the pounds of meat taken to the butcher. All these species of livestock have recognized industry-wide standards for use in determining the specific characteristics of an economically valuable animal. Artificial insemination permits the spread of desired genes throughout the national herd much more rapidly than would be possible without it. According to Improving Cattle by the Million, a 1981 text written by H. Herman, before the development ofEPDs, beef breeders judged bulls on aesthetics in the 65 show ring 1• In effect, a bull's value was determined on the basis of relative performance. Not until the development ofEPDs did the beef breeder have information on a bull's ability to sire calves that would be good weight gainers. Artificial insemination is a technology that improves the genetic base of a herd of livestock by spreading superior genes among females more quickly than would be possible in the absence of AI. When there is a standardized measure for identifying genetically superior animals, such as increased milk production in the case of a dairy cow, technology advances that speed attainment of genetically superior animals will be adopted. Improved absolute performance is a singular criterion for determining the usefulness of any new breeding technology. This chapter supports the hypothesis presented in Chapter 4 that, where absolute performance matters, private and social marginal costs are equal and any technology that lowers costs will be adopted. Moreover, for livestock evaluated on the basis of absolute performance, the prediction is borne out that adoption of AI is more likely than for livestock whose value is determined by relative performance. 1 Although there were perfonnance measures that pre-dated EPDs, EPD's were the first ones to be widely accepted. 66 CHAPTER6 CONCLUSIONS Artificial insemination revolutionized the traditional breeding structure of all livestock industries. Among its more important advantages has been a considerable lowering of the cost of producing offspring. Not only does it lower the risk of injury inherent in any natural breeding, but it also reduces transportation costs because the male and female do not have to be brought to the same physical location. An owner of female breeding stock can choose a stallion without being bound by geographical limitations. Artificial insemination also increases the number of females to which any one male can be bred, because one ejaculation can be divided up to inseminate a number of females. The advantages offered by AI in terms of increased production efficiency are indisputable. There does not appear to be any consensus on the disadvantages of artificial insemination. AI certainly has the potential to narrow the gene pool of a species. Top sires can produce larger proportions of the herd population. Additionally, should a champion sire have an undiscemed genetic defect, widespread use of AI will spread the defect more rapidly through the herd population than with natural breeding. A good example of this is provided by the case of a champion Quarter Horse stallion, named Impressive, who, unknown to breeders at the time, passed on a gene to many of his 67 offspring that causes a central nervous disorder. This disorder, in turn, brings on epileptic-type seizures and can cause paralysis. Through the use of AI, Impressive was bred to many more females than would have been possible without AI. The widespread penetration of his dehabilitating genetic defect into the Quarter Horse breeding population has alarmed many breeders beyond the Quarter Horse industry itself. Proponents of artificial insemination argue that, with AI, the use of genetically inferior sires will be reduced and the genetic traits of the breed will improve. When natural covers· are required, inferior local sires are used where the costs of transportation are prohibitive. AI gives many more breeders access to superior sires, resulting in improved quality of offspring. Proponents and opponents of AI seem to agree that the widespread use of AI will reduce the genetic base of a herd population. The argument focuses on how this affects the genetic quality of the breed. Proponents believe that AI will improve the quality of offspring by removing inferior sires. Opponents believe that narrowing the genetic base of the herd population will result in serious inbreeding and hence weakened bloodlines. There are two explanations offered by breed registries to justify AI restrictions. The first is their fear ·of the unknown consequences of narrowing the genetic base of a herd. The second is a concern that maintaining accurate lineage records will be more difficult and susceptible to fraud. Without a natural cover there is no guarantee that the offspring is indeed the product of aspecific stallion. "Before the advent of DNA genotyping, blood typing was the only parental identification process available. The ability to detect inaccurate registrations was far more limited with blood typing than it is 68 with DNA genotyping. DNA genotyping is almost one hundred percent effective as a ' tool for identifying a foal's lineage. Breed registries that imposed restrictions on AI to safeguard the accuracy oflineage records now have the ability, through DNA genotyping, to determine the lineage of any foal conceived by AI at a ninety-nine percent level of accuracy. Consequently, imposing AI restrictions to ensure accurate lineage records is no longer necess.ary. This thesis has examined the economic motives of an equine breed registry to restrict the use of artificial insemination. In summary, tests of the hypotheses proposed in Chapter 4 provide empirical evidence that: I. The advent of affordable DNA genotyping has resulted in relaxation of AI restrictions. 2. The higher the variation in stud fees for a particular breed, the more likely a registry will be to restrict AI. 3. 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September. 79 Year Number of Established Breed Registries Number of Breeds that Allow On-Site AI Number of Breeds that Allow Shiped Semen 1950 13 2 1 1951 15 2 1 1952 15 2 1 1953 15 2 1 1954 16 2 1 1955 16 2 1 1956 17 2 1 1957 17 2 1 1958 17 2 1 1959 17 2 1 1960 17 3 2 1961 17 3 2 1962 18 3 2 1963 18 3 2 1964 18 3 2 1965 18 5 2 1966 18 5 2 1967 18 6 2 1968 18 6 2 1969 18 6 2 1970 20 7 2 1971 21 11 3 1972 22 13 4 1973 22 13 4 1974 23 13 4 80 Year Number of Established Breed Registries Number of Breeds that Allow On-Site AI Number of Breeds that Allow Shipped Semen 1975 23 14 4 1976 25 15 5 1977 26 15 5 1978 27 16 6 1979 27 16 6 1980 27 16 6 1981 27 16 7 1982 28 17 7 1983 29 18 8 1984 29 18 9 1985 29 19 11 1986 29 21 13 1987 29 21 13 1988 29 21 15 1989 29 22 16 1990 29 23 17 1991 29 24 20 1992 29 25 21 1993 29 26 22 1994 29 26 22 1995 29 26 23 81 B. SUMMARY STATISTICS, DATA AND ADDITIONAL REGRESSION RESULTS FOR OPPORTUNISTIC BEHAVIOR IT: VARIATIONS IN STUD FEES 82 Breed (# Obs) Appaloosa Minimum Stud Fee Maximum Stud Fee Mean Stud Fee Median Stud Fee Coefficient of Variation AI Score 200 2000 627 525 0.41 0.53 500 5000 1812 1500 0.43 0.62 100 600 307 300 0.37 0.12 200 5000 1369· 1000 0.84 0 250 5000 1455 1200 0.52 0.40 100 500 273 275 0.34 1.54 100 600 230 200 0.35 0.73 250 4000 1093 1000 0.65 0.62 150 1500 483 400 0.52 0.92 0 125000 5872 3000 1.74 0 650 3000 1185 1200 0.31 0.84 (161) Arabian (216) Belgian (85) Miniature (88) Morgan (99) Perc heron (30) POA (150) Quarter (159) Tennesse Walker (415) Thoroughbred (547) Trakehner (63) 83 ADDITIONAL REGRESSION RESULTS Modell- No Thoroughbreds Model2- No Miniatures Model 3 -No Thoroughbreds or Miniatures Dependent Variable : AI Score Model 1 Model2 Model3 Variable Parameter Estimate T-value Parameter Estimate T-value Parameter Estimate T-value Intercept 1.484292 3.551 ** l.l73506 3.550** 1.064668 2.064* Coefficient of Variation -1.868138 -2.133** -1.092473 -1.594* -0.836413 -0.723 Significance levels for one tailed t-values are as follows:**significant at 0.05 level; *significant at O.llevel 85 Variable Stud Fee Mean 3973 Standard Deviation Minimum Maximum 4283 200 30000 0.8045828 0 4.7964476 Career Earnings (in Millions) 0.652710 Years Raced 3.8082 1.2669 1 8 Number of Starts 24.0593 16.5734 1 124 Number of Wins 6.6347 4.0697 0 22 OBS STUDFEE 1 2000 1000 2000 7500 5000 2000 500 3500 2500 5000 15000 1500 5000 15000 1000 2000 2500 1500 2000 7500 3500 2500 2000 1500 7500 2500 2500 15000 1500 3500 3000 3500 6000 1500 3000 1000 3000 5000 3000 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 EARNED 0.24246 0.30948 0.02487 0.93069 0.81187 0.35448 0.01109 0.09708 0.04270 0.26117 2.27278 0.24724 0.31372 3.60117 0.57001 0.22885 1.00388 0.68240 0.31598 0.38055 0.39153 0.02611 0.87549 0. 71134 0.92141 1.30084 0.24152 1.59379 0.13697 0.19487 0. 27113 0.39272 1.09754 0.09106 0.16311 0.15448 0.04051 1.74261 0.03182 YRSRACED WINS STARTS 19 63 4 5 7 19 4 3 4 1 4 9 18 35 23 12 5 3 3 4 2 4 7 4 4 6 4 7 10 5 1 2 2 7 9 12 8 18 17 7 13 6 3 8 4 4 4 1 6 9 11 5 10 5 3 2 1 3 5 3 3 4 2 7 2 2 4 3 4 4 5 2 5 6 4 3 4 2 3 3 13 6 3 6 1 11 8 16 26 77 21 45 58 27 81 18 13 6 8 15 67 34 25 34 10 20 10 14 13 26 10 26 67 26 5 26 7 LIVE FOAL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 BREED CUP 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 86 OBS STUD FEE 40 41 42 43 44 45 46 47 48 49 3500 4000 25000 750 1000 2500 3000 6500 2500 2000 3500 5000 1500 2500 750 1500 3500 2500 2000 5000 2500 2500 3500 7500 4000 2500 8500 -7500 5000 2500 10000 5000 2500 2500 1000 1000 3500 2500 30000 1000 2500 5000 20000 1000 5000 3000 10000 2000 200 3000 2500 2000 1000 500 7500 5000 1000 2500 1500 1000 1500 3500 3000 so 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 EARNED 0.45669 0.14794 3. 62036 0. 03272 0.11074 0.49543 0.60501 0.22566 0.59975 0.71629 1.68466 0.63156 0.52813 0.07645 0.22959 0.40418 1. 06836 0.20109 0.54116 3.09527 2.34686 0.40816 0.18699 2.33095 1.66295 0.46673 1.40359 0.48849 0.34120 0.. 69187 0.95125 0.77751 0.40557 0.10213 0.17496 0.15754 0.40278 4.28063 3.01807 0.02349 0.20340 0.17878 1.31378 0.12329 0.04773 1.78917 1.25192 0.13323 0.10109 0.28816 0.61029 0.21428 0.14505 0.15993 1.43751 0.18584 0.63540 0.13315 O.H015 0.13996 0.07692 0.51814 0.17433 YRSRACED 2 3 WINS STARTS 14 13 36 4 5 1 11 2 2 8 4 5 9 14 20 25 15 50 32 22 15 38 6 37 24 14 33 32 23 24 44 51 33 27 39 22 23 16 41 6 15 23 15 20 43 15 34 14 8 14 24 22 4 4 6 4 5 3 11 4 3 9 12 2 6 4 4 5 5 3 3 9 4 9 5 8 4 9 8 4 9 5 6 7 12 12 10 5 4 4 5 3 4 4 2 5 2 3 3 3 6 5 4 7 6 8 4 15 4 6 14 4 4 8 8 4 8 2 7 2 3 2 3 3 3 2 3 4 5 2 2 2 4 4 5 6 3 3 7 5 15 3 2 ll 8 3 3 3 8 7 7 6 7 4 22 4 5 3 3 3 3 5 4 4 3 3 6 9 9 25 20 11 11 13 28 52 24 43 13 16 124 21 27 7 n 15 22 LIVEFOAL 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 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 BREEDCOP 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 87 OBS STlJDFEE 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 ;!.54 155 156 157 158 159 160 161 162 163 164 165 1500 10000 sao 3500 3000 10000 2500 5000 7500 2500 1500 1000 1000 500 3500 3000 3000 4000 2500 5000 10000 1000 3500 500 1500 7500 10000 2000 3500 15000 3500 10000 1500 1000 4000 2000 7500 2500 2500 1000 10000 10000 1000 1000 1000 1000 1000 2500 2500 2500 2000 7500 6000 4000 3500 5000 1000 3000 3000 3500 200 1000 15000 EARNED 0.38350 2.93719 o.oo882 1.16179 0.09747 . 1.91697 0.73653 0.36460 1.44142 0.11362 0.36715 0.04954 0.42228 0.17665 0. 71033 0.22064 0.24356 0.40824 0.59896 1.49673 1.78148 0.04310 0.75380 0. 66206 0.09730 0.45908 1.25523 0.25655 1.61934 2.79668 0.08600 0.36120 0.01753 0.19499 0.20127 0.75823 2.41726 0.00306 0.33958 0.41657 1.87527 0.80612 0.20092 0.15120 0.20335 0.04962 0.13385 0.89898 0.28841 0.62215 1. 31436 0.69981 0.37708 0.64019 0.37390 0.53622 o. 30887 0.09118 0.83788 1.13436 0.00758 0.45465 3.33032 YRSRACED WINS STARTS LIVE FOAL BREED CUP 1 1 0 1 1 3 4 11 5 3 4 2 10 36 14 52 12 42 20 25 5 3 5 2 4 5 3 6 4 5 6 5 3 5 3 4 1 12 4 8 16 5 6 4 9 2 7 2 8 7 6 5 9 9 10 5 2 4 6 5 2 2 8 4 20 11 4 7 0 4 4 3 10 2 3 5 4 3 5 4 2 6 5 4 4 3 6 5 4 5 4 4 4 4 3 4 4 3 2 6 2 3 4 4 4 4 9 4 3 3 3 15 9 0 5 11 5 4 4 8 3 2 7 6 5 7 14 4 6 9 2 7 8 3 6 11 1 4 15 11 10 43 13 43 18 19 19 30 14 24 17 30 19 25 59 23 8 11 16 38 32 11 9 6 25 13 42 17 3 24 39 19 12 23 58 17 19 18 29 21 21 33 14 22 35 17 21 58 4 22 32 5 16 29 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 88 OBS STUD FEE EARNED YRSRACED 2 WINS H6 ~500 ~67 2500 0.00000 0.35370 5 0 8 ~68 ~000 0.0~603 2 ~ ~69 2500 0.59329 5 ~4 ~70 ~500 0.3~743 4 ~7~ ~000 0.03659 ~72 ~11~ 0.0370~ 2 2 6 2 ~73 ~000 ~74 ~500 ~75 ~82 600 5000 2000 2000 3500 2500 25000 2000 0. 0~572 0.26592 0.04026 ~83 ~000 0.004~0 ~84 7500 7500 2000 4000 2000 0.43943 L 66113 0.84943 ~76 ~77 ~78 ~79 ~80 ~8~ ~85 ~86 ~87 ~88 20~ 202 203 204 205 206 207 208 209 ~000 500 7500 ~ 13 0 0 ~0 27 33 79 ~ ~ 0.79404 4 4 8 3 4 2 3 3 3 3 6 3 5 0.94~37 0.3370~ ~-245~8 0.38863 0.07480 ~.63582 0.0705~ 0.~7020 L~69B ~.02~0~ 0.44788 0.~9764 0.11564 0.06290 0.93300 0.2~802' 0.09089 0.06684 3 3 4 4 5 7 3 4 4 3 4 ~ ~ ~ 1 4 14 ~ ~ 0 6 9 ~ ~ ~ ~9 ~ 1 23 ~ ~ 11 3 4~ ~ 1 ~7 ~ ~ 8 3 5 4 6 5 4 8 9 8 8 2 9 7 4 32 ~ 5 22 ~ 4 ~3 ~ 1 1 1 1 1 1 1 1 1 1 1 5 37 ~ ~ ~ ~ 2~ ~ ~ ~7 ~ 20 32 6 24 ~ 1 1 1 1 1 1 1 1 1 1 1 1 ~ ~ 0 22 ~ 8 20 ~ ~9 ~ ~ 2~ ~ n 5 ~2 5 0.~9909 8 7 8 48 27 7 29 29 45 5 8 ~8 65 24 48 ~500 L2056~ 2~5 ~000 0.33232 o.2n26 2~6 5000 0.35~74 2~7 ~500 2~8 500 5000 0.32496 0.22858 0.27780 5 2 3 8 2 9 ~0 5 11 ~ 28 4 5 ~ ~8 L6~649 ~500 2~9 27 11 0.~6785 ~-0~~82 1 1 ~ ~000 0.83473 ~ .1 ~9 5000 3000 3000 3500 5000 0.~2459 ~ 7 2 6 20000 n3 2~2 ~7 0.22680 4.79645 ~0000 2~4 211 ~0 5 2 3 2.323~8 4 2 4 4 5 2 6 3 2~0 0 ~ 4 200 ~ ~ 0.39385 0.27457 ~000 ~ 22 5 2500 2500 2000 ~ 4 6 2 0.~9220 ~99 ~ ~ 4 5 4 ~98 ~ ~ 2 ~97 1 ~ 0.~2327 ~96 ~ ~ 1 6 O.H779 ~95 0 ~ 4 ~500 ~94 2 25 7 57 26 ~ 2000 5000 4500 5000 7500 5000 2500 2500 ~93 BREED CUP ~ ~90 ~92 LIVE FOAL 3 ~89 ~9~ STARTS 4 ~2 5 B ~ ~ 1 1 1 0 1 ~ 1 0 1 1 1 1 ~ 0 ~ 1 1 1 00 \0 90 OBS YEAR SBPURSE TBPURSE SBWIN TBWIN ]. :1936 :1937 :1938 :1939 :1940 :194:1 :1946 :1947 :1948 :1949 :1950 :195:1 J.952 J.953 :1954 :1955 :1956 J.957 J.958 J.959 J.960 J.96J. J.962 J.963 J.964 J.965 J.966 J.967 J.968 J.969 :1970 :L97J. J.973 :1975 J.976 :1977 :1978 :1979 J.980 :L98J. :1982 J.983 J.984 J.985 :1986 :1987 :1988 :1989 J.990 J.99J. :1992 J.993 J.994 :1995 J.OOOO 9259 9570 9000 9075 8330 2578J. 36905 5007J. 57J.54 54665 66659 6623J. 67458 63J.2:L 62702 5373:1 50460 53330 538J.O 64040 59330 55230 6J.J.28 57096 65J.33 6J.602 58642 57398 54757 7635J. 634J.5 64:173 J.OOOOO J.OOOOO J.OOOOO :100000 J.OOOOO J.OOOOO :1243].]. :L:L6200 J.50000 J.84800 J.85500 J.60530 J.J.6837 J.709:LO :177230 :180000 J. 78J.40 J. 72000 J.57000 J.62700 J.5J.600 45000 55000 55000 55000 80000 80000 J.05000 J.:L4660 J.J.6450 :129650 :125700 J.3J.J.OO J.34350 J.23J.OO J.29J.OO :157500 J. 72550 J.57050 :165500 :168750 :163950 J.68000 J.67J.50 J.56400 J.6J.800 J.59500 J.68000 J.67200 J.70J.OO J.60700 ]. 73300 J.93000 203800 277:100 232700 282200 254400 335400 384300 457415 590J.OO 573000 752400 62J.800 824400 833600 826200 789200 796000 945800 J.OJ.4800 :1025900 9J.8800 997400 J.2J..25 J.2J..25 J.20.75 J.22.50 J.22.00 J.22.25 J.20.50 J.24.20 J.23.40 J.25.40 122. 00 J.2J..40 J.20.00 J.20.60 J.2J.. 00 J.20. 60 :122.00 J.22.20 J.J.9.20 J.2J..20 1:18.60 ].].8.20 J.J.9.20 lJ.7.20 lJ.8.20 ].].9. 60 J.J.9.60 1:19.60 lJ.7.00 J.J.9.00 :L:L9.80 1:18.20 J.J.9.20 :L:L9.60 :L:L9. 00 1:17.60 J.J.B .60 1J.7.80 :L:LB.OO 1:17.60 1J.7.00 1:15.80 J.J.5.60 1J.5.40 J.J.5.40 1:15.00 J.J.5.00 1J.4.40 J.J.4.40 J.J.4.60 J.J.4.6 J.J.2.6 J.J.3.6 :LJ.5. 4 :123.6 J.23.2 J.24.8 J.23.4 :125.0 J.2J..4 126.6 J.26.8 :125.4 :124.2 J.2J.. 6 J.22.6 J.2J..6 J.22.0 :123. 0 J.2J.. 8 :123.4 J.22.2 :125.0 :122.2 :122.4 :124.0 J.20.4 J.2J..B J.20.0 :L2J.. 2 J.22.0 J.20.6 J.22.2 J.2J..8 J.23.4 :123.2 J.J.9.4 J.22.0 J.2J.. 6 J.22.2 :L2J..2 122.4 122.0 :122.0 122.4 J.22.2 J.22.4 J.20.2 J.22.8 J.23.4 J.22.2 J.25.0 J.22.0 J.23.0 :123.0 J.22.4 J.23.6 J.2J.. 2 2 3 4 5 6 7 8 9 :10 ].]. :12 :13 :14 :15 :16 :17 :18 :19 20 2:1 22 23 24 25 26 27 28 29 30 3:1 32 33 34 35 36 37" 38 39 40 4:1 42 43 44 45 46 47 48 49 50 5:1 52 53 54 rn ~ tr1 t:J ~ 0 ~ ~ ~ 0 () ?d 0 "''"j > ~ ~t:J r:n () r:n >-1 ..... ~..... ...::: r:n ! r:n \0 ....... 92 Variable AGE SHOWS RACES MEMBERS BREED AGE Angloarab ~95~ Appaloosa ~938 Arabian ~908 Half arab 1951 ~887 Belgian Clydesdale ~879 cream Draft ~944 Hackney ~977 Haflinger ~976 Hanoverian ~978 Holstiener H76 Minature ~970 Morgan ~909 National } Show Horse ~982 Paint ~962 Pasofino ~972 Percheron ~876 Peruvian H70 Paso Pinto 1.956 Ponies of America J ~954 Quarter ~940 Racking 1.971. Saddlebreds ~89~ Shetland 1.888 Suffolk ~900 Tennessee } Walkers 1.935 Thorougbred 1.894 Trakehner 1.974 Dutch Warm } Blood ~983 Mean N 29 29 29 29 Std Dev Minimum Maximum ~941. ~0 36.~439037 ~876.00 ~983.00 237.275862~ 468.06325~0 2858.2~ B~88.~2 0 0 2288.00 70693.00 ~8~48.45 5~322.76 36.0000000 275~64.00 SHOWS 432 733 428 432 25 4 0 0 0 0 0 ~50 ~4 RACES 0 800 723 0 0 0 0 0 0 0 0 0 3 PCR.ON 750 28673 22339 29828 5500 700 36 490 400 ~000 0 0 0 0 ~ COEFVAR 0.4~ 0.43 0.37 0 ~ ~ ~ 0 0 500 2000 11500 ~ ~ 0.84 0.52 0 0 0 0 0.34 ~01.6 27~ ~20 0 0 0 850 48089 4922 2500 36 200 0 0 1.300 6200 0 1. 325 2288 200 0 50 0 0 1.0398 0 0 0 0 2200 2751.64 3000 7277 3200 200 0 0 0 0 1. 1. 0.35 0.65 423 0 4 0 70693 0 ~5687 0 1. 1. 0.52 l . 74 0.31. ~ 0 0 MEMBERS 0 50000 ~000 ~000 0