Population Genetic Theory of the Cost of Inbreeding

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Abstract
Single gene models for the evolution of rates of selfing and sib mating in the presence of an inbreeding depression of fitness are treated. In models in which the genetic constitution of the male gamete pool available for random mating is not affected by prior inbreeding, an allele which increases the rate of inbreeding will succeed, provided the inbreeding depression is not too large. The opposite result holds when the proportion of male genotypes available for random mating are reduced according to their rate of prior inbreeding.