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UNIFYING GENETIC MODELS FOR THE EVOLUTION OF FEMALE CHOICE

A best‐of‐N rule of female mating preferences can give rise to lines of unstable equilibria in a two‐locus haploid model of sexual selection. Under the best‐of‐N rule, which corresponds to choice at a lek, male fitnesses can exhibit a form of positive frequency‐dependence that is not seen under fixed‐relative‐preference rules (Kirkpatrick, 1982). This positive frequency‐dependence can be strongly destabilizing. Lande's (1981) criterion for the stability of the equilibria in quantitative‐genetic models of sexual selection applies exactly and in general to the related family of simple population‐genetic models. This offers some insight into the workings of these models and greatly simplifies their analysis.