Fisher's fundamental theorem of natural selection revisited

Theoretical Population Biology

Volumn 52, Issue 2, 1997, Pages 119-136

  Lessard, Sabin ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FISHER'S FUNDAMENTAL THEOREM; FITNESS; GENOTYPE FREQUENCY; NATURAL SELECTION;

MARTES PENNANTI;

EID: 0031260119     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1324     Document Type: Article

References (33)

1. Castilloux A.-M., Lessard S. The fundamental theorem of natural selection in Ewens' sense (Case of many loci). Theor. Popul. Biol. 48:1995;306-315.
2. Charlesworth B. Selection in populations with overlapping generations. I. The use of Malthusian parameters in population genetics. Theor. Popul. Biol. 1:1970;352-370.
3. Charlesworth B. Selection in populations with overlapping generations. VI. Rates of change of gene frequency and population growth rate. Theor. Popul. Biol. 6:1974;108-133.
4. Charlesworth B. Evolution in Age-Structured Populations. 1980;Cambridge Univ. Press, Cambridge.
5. Crow J. F. Gene frequency and fitness change in an age-structured population. Ann. Hum. Genet. 42:1979;355-370.
6. Crow J. F., Nagylaki T. The rate of change of a character correlated with fitness. Am. Nat. 110:1976;207-213.
7. Darwin C. On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life. 1956;Oxford Univ. Press, London.
8. Denniston C. An incorrect defintion of fitness revisited. Ann. Hum. Genet. 42:1978;77-85.
9. Edwards A. W. F. The fundamental theorem of natural selection. Biol. Rev. 69:1994;443-474.
10. Emlen J. M. Age specificity and ecological theory. Ecology. 51:1970;588-601.
11. Ewens W. J. An interpretation and proof of the fundamental theorem of natural selection. Theor. Popul. Biol. 36:1989;167-180.
12. Ewens W. J. An optimizing principle of natural selection in evolutionary population genetics. Theor. Popul. Biol. 42:1992;333-346.
13. Fisher R. A. The Genetical Theory of Natural Selection. 1930;Clarendon, Oxford.
14. Fisher R. A. Average excess and average effect of a gene substitution. Ann. Eugenics. 11:1941;53-63.
15. Fisher R. A. The Genetical Theory of Natural Selection. 1958;Dover, New York.
16. Frank S. A., Slatkin M. Fisher's fundamental theorem of natural selection. Trends Ecol. Evol. 7:1992;92-95.
17. Kempthorne O. An Introduction to Genetic Statistics. 1957;Wiley, New York.
18. Kimura M. A model of a genetic system which leads to closer linkage by natural selection. Evolution. 10:1956;278-287.
19. Kimura M. On the change of population fitness by natural selection. Heredity. 12:1958;145-167.
20. Lessard S., Castilloux A.-M. The fundamental theorem of natural selection in Ewens' sense (Case of fertility selection). Genetics. 141:1995;733-742.
21. Li C. C. Population Genetics. 1955;Chicago Univ. Press, Chicago.
22. Li C. C. Fundamental theorem of natural selection. Nature. 214:1967;505-506.
23. Li C. C. Increment of average fitness for multiple alleles. Proc. Natl. Acad. Sci. U.S.A. 62:1969;395-398.
24. Lotka A. J. The stability of the normal age distribution. Proc. Natl. Acad. Sci U.S.A. 8:1922;339-345.
25. Nagylaki T. Rate of evolution of a character without epistasis. Proc. Natl. Acad. Sci. U.S.A. 86:1989;1910-1913.
26. Nagylaki T. Error bounds for the fundamental and secondary theorems of natural selection. Proc. Natl. Acad. Sci. U.S.A. 88:1991;2402-2406.
27. Nagylaki T. The evolution of multilocus systems under weak selection. Genetics. 134:1993;627-647.
28. Norton H. T. J. Natural selection and Mendelian variation. Proc. London Math. Soc. 28:1928;1-45.
29. Price G. R. Selection and covariance. Nature. 227:1970;520-521.
30. Price G. R. Fisher's "fundamental theorem" made clear. Ann. Hum. Genet. 36:1972;129-140.
31. Price G. R., Smith C. A. B. Fisher's Malthusian parameter and reproductive value. Ann. Hum. Genet. 36:1972;1-7.
32. Robertson A. A mathematical model of the culling process in dairy cattle. Anim. Prod. 8:1966;95-108.
33. Turner J. R. G. Changes in mean fitness under natural selection. Mathematical Topics in Population Genetics. 1970;Springer-Verlag, Berlin. p. 32-78.