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Fixation probability in a two-locus intersexual selection model

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  • Durand, Guillermo
  • Lessard, Sabin

Abstract

We study a two-locus model of intersexual selection in a finite haploid population reproducing according to a discrete-time Moran model with a trait locus expressed in males and a preference locus expressed in females. We show that the probability of ultimate fixation of a single mutant allele for a male ornament introduced at random at the trait locus given any initial frequency state at the preference locus is increased by weak intersexual selection and recombination, weak or strong. Moreover, this probability exceeds the initial frequency of the mutant allele even in the case of a costly male ornament if intersexual selection is not too weak. On the other hand, the probability of ultimate fixation of a single mutant allele for a female preference towards a male ornament introduced at random at the preference locus is increased by weak intersexual selection and weak recombination if the female preference is not costly, and is strong enough in the case of a costly male ornament. The analysis relies on an extension of the ancestral recombination–selection graph for samples of haplotypes to take into account events of intersexual selection, while the symbolic calculation of the fixation probabilities is made possible in a reasonable time by an optimizing algorithm.

Suggested Citation

  • Durand, Guillermo & Lessard, Sabin, 2016. "Fixation probability in a two-locus intersexual selection model," Theoretical Population Biology, Elsevier, vol. 109(C), pages 75-87.
    • Handle: RePEc:eee:thpobi:v:109:y:2016:i:c:p:75-87
    DOI: 10.1016/j.tpb.2016.03.004
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    References listed on IDEAS

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    1. Kermany, Amir R. & Lessard, Sabin, 2012. "Effect of epistasis and linkage on fixation probability in three-locus models: An ancestral recombination–selection graph approach," Theoretical Population Biology, Elsevier, vol. 82(2), pages 131-145.
    2. Tim W. Fawcett & Bram Kuijper & Ido Pen & Franz J. Weissing, 2007. "Should attractive males have more sons?," Behavioral Ecology, International Society for Behavioral Ecology, vol. 18(1), pages 71-80, January.
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