Optimization of inclusive fitness

Journal of Theoretical Biology

Volumn 238, Issue 3, 2006, Pages 541-563

  Grafen, Alan ^a  

^a ST JOHN S COLLEGE   (United Kingdom)

Author keywords

Inclusive fitness; Natural selection; Optimality; Price equation; Social behaviour

Indexed keywords

FITNESS; NATURAL SELECTION; SOCIAL BEHAVIOR;

ANIMAL BEHAVIOR; ARTICLE; EVOLUTION; FITNESS; GENE FREQUENCY; GENETIC MODEL; GENOME; GENOTYPE; MATHEMATICAL ANALYSIS; NATURAL SELECTION; NONHUMAN; POPULATION GENETICS; PRIORITY JOURNAL; SOCIAL BEHAVIOR; SOCIAL INTERACTION;

ADAPTATION, BIOLOGICAL; ANIMALS; GENE FREQUENCY; GENOME; MODELS, BIOLOGICAL; PHENOTYPE; SELECTION (GENETICS); SOCIAL BEHAVIOR; VARIATION (GENETICS);

ANIMALIA;

EID: 30444444066     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.06.009     Document Type: Article

References (62)

1. R. Axelrod, R.A. Hammond, and A. Grafen Altruism via kin-selection strategies that rely on arbitrary tags with which they co-evolve Evolution 58 2004 1833 1838
2. Bennett, J.H. (Ed.), 1983. Natural Selection, Heredity and Eugenics (Including Selected Correspondence of R.A. Fisher with Leonard Darwin and others). Oxford University Press, Oxford.
3. E.L. Charnov The Theory of Sex Allocation 1982 Princeton University Press Princeton
4. L.M. Cosmides, and J. Tooby Cytoplasmic inheritance and intragenomic conflict J. Theor. Biol. 89 1981 83 129
5. R.H. Crozier Coefficients of relationship and the identity of genes by descent in the hymenoptera Am. Nat. 104 1970 216 217
6. C.R. Darwin The Origin of Species 1859 John Murray London
7. R. Dawkins The Selfish Gene 1976 Oxford University Press Oxford
8. T. Day, and P.D. Taylor Unifying genetic and game theoretic models of kin selection for continuous traits J. Theor. Biol. 194 1998 391 407
9. W.J. Ewens An interpretation and proof of the fundamental theorem of natural selection Theor. Popul. Biol. 36 1989 167 180
10. W.J. Ewens An optimizing principle of natural selection in evolutionary population genetics Theor. Popul. Biol. 42 1992 333 346
11. D.S. Falconer Introduction to Quantitative Genetics second ed. 1981 Longman London
12. R.A. Fisher Some hopes of a eugenist Eugen. Rev. 5 1914 309 315
13. R.A. Fisher The Genetical Theory of Natural Selection 1930 Oxford University Press OUP published in 1999 a variorum edition of the 1930 and 1958 editions.
14. R.A. Fisher The theory of linkage in polysomic inheritance Philos. Trans. Roy. Soc. London Ser. B 233 1947 55 87
15. R.A. Fisher The Theory of Inbreeding 1949 Oliver and Boyd Edinburgh
16. S.A. Frank Kin selection and virulence in the evolution of protocells and parasites Proc. Roy. Soc. London Ser. B 258 1994 153 161
17. S.A. Frank Mutual policing and the repression of competition in the evolution of cooperative groups Nature 377 1995 520 522
18. S.A. Frank Sex allocation in solitary bees and wasps Nature 146 1995 316 323
19. S.A. Frank The Price equation, Fisher's fundamental theorem, kin selection, and causal analysis Evolution 51 1997 1712 1729
20. S.A. Frank The Foundations of Social Evolution 1998 Princeton University Press Princeton
21. A. Grafen The hawk-dove game played between relatives Anim. Behav. 27 1979 905 907
22. A. Grafen Natural selection, kin selection and group selection J.R. Krebs N.B. Davies Behavioural Ecology second ed 1984 Blackwell Scientific Publications Oxford, UK 62 84
23. A. Grafen A geometric view of relatedness Oxford Surveys Evol. Biol. 2 1985 28 89
24. A. Grafen Do animals really recognize kin? Anim. Behav. 39 1990 42 54
25. A. Grafen Fertility and labour supply in Femina economica J. Theor. Biol. 194 1998 429 455
26. A. Grafen Formal Darwinism, the individual-as-maximising-agent analogy, and bet-hedging Proc. Roy. Soc. Ser. B 266 1999 799 803
27. A. Grafen Developments of Price's Equation and natural selection under uncertainty Proc. Roy. Soc. Ser. B 267 2000 1223 1227
28. A. Grafen A first formal link between the Price equation and an optimization program J. Theor. Biol. 217 2002 75 91
29. A. Grafen Fisher the evolutionary biologist J. Roy. Statist. Soc. Ser. D (The Stat.) 52 2003 319 329
30. Grafen, A. (forthcoming). A theory of Fisher's reproductive value.
31. D. Haig Parental antagonism, relatedness asymmetries, and genomic imprinting Proc. Roy. Soc. Ser. B 264 1997 1657 1662
32. D. Haig, and M. Westoby Parent-specific gene expression and the triploid endosperm Am. Nat. 134 1989 147 155
33. J.B.S. Haldane Population genetics New Biol. 18 1955 34 51
34. W.D. Hamilton The evolution of altruistic behaviour Am. Nat. 97 1963 354 356
35. W.D. Hamilton The genetical evolution of social behaviour J. Theor. Biol. 7 1964 1 52
36. W.D. Hamilton Extraordinary sex ratios Science 156 1967 477 488
37. W.D. Hamilton Selfish and spiteful behaviour in an evolutionary model Nature 228 1970 1218 1220
38. W.D. Hamilton Selection of selfish and altruistic behaviour in some extreme models J. Eisenberg W. Dillon Man and Beast: Comparative Social Behavior 1971 Smithsonian Press Washington, DC 57 91
39. W.D. Hamilton Altruism and related phenomena, mainly in the social insects Ann. Rev. Ecol. Syst. 3 1972 193 232
40. W.D. Hamilton Innate social aptitudes of man: an approach from evolutionary genetics R. Fox Biosocial Anthropology 1975 Malaby Press London 133 153
41. Hamilton, W.D., 2001. Narrow Roads of Gene Land. Volume 2: Evolution of Sex. Oxford University Press, Oxford.
42. P. Hammerstein Darwinian adaptation, population-genetics and the streetcar theory of evolution J. Math. Biol. 34 1996 511 532
43. W. Hines Maynard Smith Games between relatives J. Theor. Biol. 79 1979 19 30
44. L. Keller, and K.G. Ross Selfish genes: a green beard in the red fire ant Nature 394 1998 573 575
45. E.G. Leigh Adaptation and Diversity 1971 Freeman Cooper San Francisco, CA
46. S. Lessard Fisher's fundamental theorem of natural selection revisited Theor. Popul. Biol. 52 1997 119 136
47. R.C. Lewontin The Genetic Basis of Evolutionary Change 1974 Columbia University Press New York
48. A. Mas-Colell, M.D. Whinston, and J.R. Green Microeconomic Theory 1995 Oxford University Press Oxford
49. M.J. Orlove A model of kin selection not involving coefficients of relationship J. Theor. Biol. 49 1975 289 310
50. M.J. Orlove, and C. Wood Coefficients of relationship and coefficients of relatedness in kin selection: a covariance form for the RHO formula J. Theor. Biol. 73 1978 679 686
51. G.R. Price Selection and covariance Nature 227 1970 520 521
52. G.R. Price Extension of covariance selection mathematics Ann. Hum. Genet. 35 1972 485 490
53. D.C. Queller The evolution of eusociality: Reproductive head starts of workers Proc. Natl Acad. Sci. (USA) 260 1989 3224 3226
54. D.C. Queller A general model for kin selection Evolution 46 1992 376 380
55. J. Seger Kinship and covariance J. Theor. Biol. 91 1981 191 213
56. J. Seger, and H.J. Brockmann What is bet-hedging? Oxford Surv. Evol. Biol. 4 1987 182 211
57. K. Summers, and B. Crespi Cadherins in maternal-foetal interactions: red queen with a green beard? Proc. Roy. Soc. Ser. B 272 2005 643 649
58. P.D. Taylor Allele-frequency change in a class-structured population Am. Nat. 135 1990 95 106
59. P.D. Taylor Inclusive fitness arguments in genetic models of behaviour J. Math. Biol. 34 1996 654 674
60. P.D. Taylor, and S.A. Frank How to make a kin selection model J. Theor. Biol. 180 1996 27 37
61. G.C. Williams Adaptation and Natural Selection 1966 Princeton University Press Princeton, NJ
62. S. Wright Evolution and the Genetics of Populations 1969-1978 University of Chicago Press Chicago