An inclusive fitness model for the evolutionary advantage of sibmating

Evolutionary Ecology - Tập 8 - Trang 61-69 - 1994
Peter D. Taylor1, Wayne M. Getz2
1Department of Mathematics and Statistics, Queen’s University, Kingston, Canada
2Department of Environmental Science, Policy, and Management, University of California, Berkeley, USA

Tóm tắt

We construct an inclusive fitness model of the relative selective advantage of sibmating and outbreeding behaviour, under the assumption that inbred offspring pay a fitness penalty. We are particularly interested in the question of whether such inbreeding depression is enough to generate a stable phenotypic polymorphism, with both kinds of breeding observed. The model predicts that, under diploidy, such a polymorphism is never found, but under haplodiploidy, it exists for a narrow range of parameter values. The inclusive fitness argument is technically interesting because care must be taken with reproductive values. We also present a corrected version of a one-locus genetic model for sibmating and find that the inclusive fitness and genetic models give identical results when selection is weak.

Tài liệu tham khảo

Charlesworth, B. (1980) Models of kin selection. InEvolution of Social Behaviour: Hypotheses and Empirical Tests (H. Markl, ed.). Verlag Chemie, Weinheim, Germany. Charnov, E.L. (1977) An elementary treatment of the genetical theory of kin selection.J. Theor. Biol.,66, 541–50. Crow, J.F. and Kimura, M. (1970)An Introduction to Population Genetics Theory. Harper and Row, New York, NY, USA. Feldman, M.W. and Christiansen, F.B. (1984) Population genetic theory of the cost of inbreeding.Am. Nat.,123, 642–53. Getz, W.M., Kaitala, K. and Ratnieks, F.L.W. (1992) Invasion of sibmating genes in diploid and haplodiploid populations.Evol. Ecol.,6, 312–30. Grafen, A. (1985) A geometric view of relatedness.Oxford Surv. Evol. Biol.,2, 28–89. Hamilton, W. D. (1964) The genetical evolution of social behaviour, I and II.J. Theor. Biol.,7, 1–52. Hamilton, W.D. (1975) Innate social aptitudes of man: an approach from evolutionary biology. InBiosocial Anthropology (R. Fox, ed.), pp. 133–55. John Wiley & Sons, New York, NY, USA. Michod, R.E. and Hamilton, W.D. (1980) Coefficients of relatedness in sociobiology.Nature,288, 694–7. Seger, J. (1981) Kinship and covariance.J. Theor. Biol.,91, 191–213. Taylor, P.D. (1989) Evolutionary stability in one-parameter models under weak selection.Theor. Pop. Biol.,36, 125–43. Taylor, P.D. (1990) Allele frequency change in a class-structured population.Am. Nat.,135, 95–106.