Population dynamics of sex-determining alleles in honey bees and self-incompatibility alleles in plants

S Yokoyama, M Nei - Genetics, 1979 - academic.oup.com
S Yokoyama, M Nei
Genetics, 1979academic.oup.com
Mathematical theories of the population dynamics of sex-determining alleles in honey bees
are developed. It is shown that in an infinitely large population the equilibrium frequency of a
sex allele is l/n, where n is the number of alleles in the population, and the asymptotic rate of
approach to this equilibrium is 2/(3 n) per generation. Formulae for the distribution of allele
frequencies and the effective and actual numbers of alleles that can be maintained in a finite
population are derived by taking into account the population size and mutation rate. It is …
Abstract
Mathematical theories of the population dynamics of sex-determining alleles in honey bees are developed. It is shown that in an infinitely large population the equilibrium frequency of a sex allele is l/n, where n is the number of alleles in the population, and the asymptotic rate of approach to this equilibrium is 2/(3n) per generation. Formulae for the distribution of allele frequencies and the effective and actual numbers of alleles that can be maintained in a finite population are derived by taking into account the population size and mutation rate. It is shown that the allele frequencies in a finite population may deviate considerably from l/n. Using these results, available data on the number of sex alleles in honey bee populations are discussed. It is also shown that the number of self-incompatibility alleles in plants can be studied in a much simpler way by the method used in this paper. A brief discussion about general overdominant selection is presented.
Oxford University Press
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