Abstract
A method is developed that describes the effects on an arbitrary number of autosomal loci of selection on haploid and diploid stages, of nonrandom mating between haploid individuals, and of recombination. We provide exact recursions for the dynamics of allele frequencies and linkage disequilibria (nonrandom associations of alleles across loci). When selection is weak relative to recombination, our recursions provide simple approximations for the linkage disequilibria among arbitrary combinations of loci. We show how previous models of sex-independent natural selection on diploids, assortative mating between haploids, and sexual selection on haploids can be analyzed in this framework. Using our weak-selection approximations, we derive new results concerning the coevolution of male traits and female preferences under natural and sexual selection. In particular, we provide general expressions for the intensity of linkage-disequilibrium induced selection experienced by loci that contribute to female preferences for specific male traits. Our general results support the previous observation that these indirect selection forces are so weak that they are unlikely to dominate the evolution of preference-producing loci.
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- Barton N. H. The effects of linkage and density-dependent regulation on gene flow. Heredity (Edinb) 1986 Dec;57(Pt 3):415–426. doi: 10.1038/hdy.1986.142. [DOI] [PubMed] [Google Scholar]
- Barton N. H. The maintenance of polygenic variation through a balance between mutation and stabilizing selection. Genet Res. 1986 Jun;47(3):209–216. doi: 10.1017/s0016672300023156. [DOI] [PubMed] [Google Scholar]
- Barton N. H., Turelli M. Adaptive landscapes, genetic distance and the evolution of quantitative characters. Genet Res. 1987 Apr;49(2):157–173. doi: 10.1017/s0016672300026951. [DOI] [PubMed] [Google Scholar]
- Barton N. H., Turelli M. Evolutionary quantitative genetics: how little do we know? Annu Rev Genet. 1989;23:337–370. doi: 10.1146/annurev.ge.23.120189.002005. [DOI] [PubMed] [Google Scholar]
- Falconer D. S. A note on Fisher's 'average effect' and 'average excess'. Genet Res. 1985 Dec;46(3):337–347. doi: 10.1017/s0016672300022825. [DOI] [PubMed] [Google Scholar]
- Frank S. A., Slatkin M. The distribution of allelic effects under mutation and selection. Genet Res. 1990 Apr;55(2):111–117. doi: 10.1017/s0016672300025350. [DOI] [PubMed] [Google Scholar]
- Hastings A. Multilocus population genetics with weak epistasis. II. Equilibrium properties of multilocus models: what is the unit of selection? Genetics. 1986 Jan;112(1):157–171. doi: 10.1093/genetics/112.1.157. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lande R., Kirkpatrick M. Ecological speciation by sexual selection. J Theor Biol. 1988 Jul 8;133(1):85–98. doi: 10.1016/s0022-5193(88)80026-2. [DOI] [PubMed] [Google Scholar]
- Lande R. Models of speciation by sexual selection on polygenic traits. Proc Natl Acad Sci U S A. 1981 Jun;78(6):3721–3725. doi: 10.1073/pnas.78.6.3721. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nagylaki T. The evolution of one- and two-locus systems. Genetics. 1976 Jul;83(3 PT2):583–600. [PMC free article] [PubMed] [Google Scholar]
- Tomlinson I. P. Diploid models of the handicap principle. Heredity (Edinb) 1988 Apr;60(Pt 2):283–293. doi: 10.1038/hdy.1988.44. [DOI] [PubMed] [Google Scholar]
- Turelli M. Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle. Theor Popul Biol. 1984 Apr;25(2):138–193. doi: 10.1016/0040-5809(84)90017-0. [DOI] [PubMed] [Google Scholar]