Center for Demographic and Population Genetics, University of Texas at Houston, Houston, Texas, 77030.
Genetics. 1979 Mar;91(3):609-26. doi: 10.1093/genetics/91.3.609.
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 1/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 1/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.
建立了有关决定蜜蜂性别等位基因的群体动力学的数学理论。结果表明，在无限大的群体中，性等位基因的平衡频率为 1/n，其中 n 是群体中的等位基因数量，渐近接近此平衡的速率为每代 2/(3n)。通过考虑群体大小和突变率，推导出了有限群体中等位基因频率以及可以维持的有效和实际等位基因数量的分布公式。结果表明，有限群体中的等位基因频率可能会偏离 1/n 很大程度。利用这些结果，讨论了有关蜜蜂种群中性等位基因数量的现有数据。还表明，通过本文所使用的方法，可以更简单地研究植物中自交不亲和等位基因的数量。简要讨论了一般的超显性选择。
