George Price ’ s Contributions to Evolutionary Genetics

George Price studied evolutionary genetics for approximately seven years between 1967 and 1974. During that brief period Price made three lasting contributions to evolutionary theory; these were: (i) the Price Equation, a profound insight into the nature of selection and the basis for the modern theories of kin and group selection; (ii) the theory of games and animal behavior, based on the concept of the evolutionarily stable strategy; and (iii) the modern interpretation of Fisher’s fundamental theorem of natural selection, Fisher’s theorem being perhaps the most cited and least understood idea in the history of evolutionary genetics. This paper summarizes Price’s contributions and briefly outlines why, toward the end of his painful intellectual journey, he chose to focus his deep humanistic feelings and sharp, analytical mind on abstract problems in evolutionary theory. 7 1995 Academic Press Limited

[1]  Peter D. Taylor,et al.  Allele-Frequency Change in a Class-Structured Population , 1990, The American Naturalist.

[2]  A. Dickson.  On Evolution , 1884, Science.

[3]  Thomas Nagylaki,et al.  The Rate of Change of a Character Correlated with Fitness , 1976, The American Naturalist.

[4]  P. O'donald.  “Haldane's Dilemma” and the Rate of Natural Selection , 1969, Nature.

[5]  W. Hamilton.  Extraordinary Sex Ratios , 1967 .

[6]  M Slatkin,et al.  The distribution of allelic effects under mutation and selection. , 1990, Genetical research.

[7]  Alan Grafen,et al.  A geometric view of relatedness , 1985 .

[8]  S. Frank.  Hierarchical selection theory and sex ratios. I. General solutions for structured populations. , 1986, Theoretical population biology.

[9]  G. Price.  The nature of selection , 1995 .

[10]  S. Abdi.  Darwin Machines and the Nature of Knowledge , 1995 .

[11]  S. Frank.  A kin selection model for the evolution of virulence , 1992, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[12]  S. Frank.  Kin selection and virulence in the evolution of protocells and parasites , 1994, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[13]  N. Barton,et al.  Adaptive landscapes, genetic distance and the evolution of quantitative characters. , 1987, Genetical research.

[14]  J. Price.  The ritualization of agonistic behavior as a determinant of variation along the neuroticism/stability dimension of personality. , 1969, Proceedings of the Royal Society of Medicine.

[15]  Â.,et al.  Variable sex ratio among colonies of ants , 1986 .

[16]  D. Wilson.  THE GROUP SELECTION CONTROVERSY: History and Current Status , 1983 .

[17]  M. Wade.  Kin selection: its components. , 1980, Science.

[18]  D. Queller,et al.  A GENERAL MODEL FOR KIN SELECTION , 1992, Evolution; international journal of organic evolution.

[19]  Rory A. Fisher,et al.  AVERAGE EXCESS AND AVERAGE EFFECT OF A GENE SUBSTITUTION , 1941 .

[20]  V. Wynne-Edwards.  Group Selection and Kin Selection , 1964, Nature.

[21]  J. M. Smith,et al.  The Logic of Animal Conflict , 1973, Nature.

[22]  M Slatkin,et al.  Fisher's fundamental theorem of natural selection. , 1992, Trends in ecology & evolution.

[23]  W. Hamilton.  WINGLESS AND FIGHTING MALES IN FIG WASPS AND OTHER INSECTS , 1979 .

[24]  W J Ewens,et al.  An interpretation and proof of the Fundamental Theorem of Natural Selection. , 1989, Theoretical population biology.

[25]  Change or homeostasis? A systems theory approach to depression. , 1991, The British journal of medical psychology.

[26]  R. Lewontin,et al.  The Genetic Basis of Evolutionary Change , 2022 .

[27]  G. Price,et al.  Extension of covariance selection mathematics , 1972, Annals of human genetics.

[28]  M J Wade,et al.  The population dynamics of maternal-effect selfish genes. , 1994, Genetics.

[29]  W J Ewens,et al.  An optimizing principle of natural selection in evolutionary population genetics. , 1992, Theoretical population biology.

[30]  G. Price.  Extension of the Hardy‐Weinberg Law to assortative mating , 1971, Annals of human genetics.

[31]  G R PRICE.  Where is the definitive experiment? , 1956, Science.

[32]  P D Taylor,et al.  Inclusive fitness models with two sexes. , 1988, Theoretical population biology.

[33]  Science and the Supernatural , 1935, Nature.

[34]  F. Breden,et al.  Partitioning of covariance as a method for studying kin selection. , 1990, Trends in ecology & evolution.

[35]  Kurt M. Fristrup,et al.  The Theory of Evolution by Natural Selection: A Hierarchical Expansion , 1982, Paleobiology.

[36]  R. Punnett,et al.  The Genetical Theory of Natural Selection , 1930, Nature.

[37]  S. Frank.  DEMOGRAPHY AND SEX RATIO IN SOCIAL SPIDERS , 1987, Evolution; international journal of organic evolution.

[38]  S. Frank.  Genetics of mutualism: the evolution of altruism between species. , 1994, Journal of theoretical biology.

[39]  A. Grafen.  Natural selection, kin selection and group selection [Polistes fuscatus, wasps] , 1984 .

[40]  G. Price.  Fisher's ‘fundamental theorem’ made clear , 1972, Annals of human genetics.

[41]  W. Hamilton,et al.  Selfish and Spiteful Behaviour in an Evolutionary Model , 1970, Nature.

[42]  J M Smith,et al.  Evolution and the theory of games , 1976 .

[43]  M. Wade.  Soft Selection, Hard Selection, Kin Selection, and Group Selection , 1985, The American Naturalist.

[44]  Mill Johannes G.A. Van,et al.  Transmission Of Information , 1961 .

[45]  Richard C Lewontin,et al.  An Introduction to Genetic Statistics , 1958 .

[46]  A. Robertson.  A mathematical model of the culling process in dairy cattle , 1966 .

[47]  S. Frank,et al.  Dispersal polymorphisms in subdivided populations. , 1986, Journal of theoretical biology.

[48]  I. L. Heisler,et al.  A Method for Analyzing Selection in Hierarchically Structured Populations , 1987, The American Naturalist.

[49]  P. Taylor.  An inclusive fitness model for dispersal of offspring , 1988 .

[50]  A. Edwards,et al.  Fundamental Theorem of Natural Selection , 1967, Nature.

[51]  M. Kimura,et al.  An introduction to population genetics theory , 1971 .

[52]  G. Ferro-Luzzi.  On Evolutionary Epistemology , 1982, Current Anthropology.

[53]  L. Hurst.  The evolution of cytoplasmic incompatibility or when spite can be successful. , 1991, Journal of theoretical biology.

[54]  J. Seger,et al.  Kinship and covariance. , 1981, Journal of theoretical biology.

[55]  R. A. Fisher,et al.  The Genetical Theory of Natural Selection , 1931 .

[56]  S. Frank.  HIERARCHICAL SELECTION THEORY AND SEX RATIOS. II. ON APPLYING THE THEORY, AND A TEST WITH FIG WASPS , 1985, Evolution; international journal of organic evolution.

[57]  Cedric A. B. Smith,et al.  Fisher's Malthusian parameter and reproductive value , 1972, Annals of human genetics.

[58]  W. Hamilton.  The genetical evolution of social behaviour. I. , 1964, Journal of theoretical biology.

[59]  W Bossert,et al.  Mathematical optimization: are there abstract limits on natural selection? , 1967, The Wistar Institute symposium monograph.

[60]  Peter D. Taylor,et al.  Evolutionary stability in one-parameter models under weak selection , 1989 .

[61]  Hierarchical Theory of Selection: The Covariance Formula of Selection and Its Applications , 1983 .

[62]  W. Hamilton.  Innate social aptitudes of man: an approach from evolutionary genetics , 1975 .

[63]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.

[64]  L. Nunney.  FEMALE‐BIASED SEX RATIOS: INDIVIDUAL OR GROUP SELECTION? , 1985, Evolution; international journal of organic evolution.

[65]  N. Barton,et al.  Dynamics of polygenic characters under selection. , 1990 .

[66]  W. Hamilton,et al.  Altruism and Related Phenomena, Mainly in Social Insects , 1972 .

[67]  S. Frank.  The genetic value of sons and daughters , 1986, Heredity.

[68]  George R. Price,et al.  Selection and Covariance , 1970, Nature.