Fixation probability in a two-locus intersexual selection model

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...

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Bibliographic Details
Published in:Theoretical population biology 2016-06, Vol.109, p.75-87
Main Authors: Durand, Guillermo, Lessard, Sabin
Format: Article
Language:English
Subjects:
Algorithms
Alleles
Ancestral recombination–selection graph
Animals
Female
Fixation probability
Genetic Loci
Genetics, Population
Male
Mathematics
Models, Genetic
Mutation
Phenotype
Probability
Recombination, Genetic
Selection, Genetic
Sexual Partners
Sexual selection
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Summary: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.
ISSN:0040-5809
1096-0325
DOI:10.1016/j.tpb.2016.03.004