On the evolution of polygyny: a theoretical examination of the polygyny threshold model

The polygyny threshold model states that if costs incurred areless than the benefits gained from mating polygynously in termsof breeding-situation quality, then polygyny is favored andcould evolve. We constructed mathematical models and computersimulations to evaluate this hypothesis. In the basic model,there is a single locus with two alleles, which regulates whetherthe female is receptive to polygyny. There are two breedingsituations of differing quality on which males randomly assort.Females then select a mate based on the associated breedingsituation and whether the male already has mates. This basicmodel is extended mathematically to include a cost for the initialfemale of a male with multiple mates and again to include geneexpression in males. The computer simulations extend the basicmodel to multiple loci and alleles and to multiple breedingsituations. The results presented here suggest that the polygynythreshold model is valid in a population genetic context: ifthe fitness of females that actually mate polygynously is greaterthan the fitness of monogamous females on poorer breeding situations,polygyny evolves. However, this approach reveals interestingdynamics not apparent from the verbal model. If the trait isexpressed in males and females, then polygyny can evolve evenif females mating polygynously have a lower fitness than femalesmating monogamously. In the multiple breeding-situations model,the polygyny allele increases to some equilibrium value abovewhich it experiences no selection. Surprisingly, as the costof polygyny increases, the equilibrium frequency of the polygynyallele also increases. The difference between this evolutionarymodel and the ideal free distribution is discussed.