有限群体中的逐步突变模型和等位基因频率分布。
Stepwise mutation model and distribution of allelic frequencies in a finite population.
作者信息
Kimura M, Ohta T
出版信息
Proc Natl Acad Sci U S A. 1978 Jun;75(6):2868-72. doi: 10.1073/pnas.75.6.2868.
Abstract
A mathematical theory is developed that enables us to derive a formula for the equilibrium distribution of allelic frequencies in a finite population when selectively neutral alleles are produced in stepwise fashion (stepwise mutation model). It is shown that the stepwise mutation model has a remarkable property that distinguishes it from the conventional infinite allele model (Kimura-Crow model): as the population size increases indefinitely while the product of the effective population size and the mutation rate is kept at a fixed value, the mean number of different alleles contained in the population rapidly reaches a plateau which is not much larger than the effective number of alleles (reciprocal of homozygosity).
摘要
我们发展了一种数学理论，该理论使我们能够推导出一个公式，用于描述在有限群体中，当选择性中性等位基因以逐步方式产生时（逐步突变模型）等位基因频率的平衡分布。结果表明，逐步突变模型具有一个显著特性，使其有别于传统的无限等位基因模型（木村-克劳模型）：当群体大小无限增加，而有效群体大小与突变率的乘积保持固定值时，群体中所含不同等位基因的平均数会迅速达到一个平稳状态，该平稳状态比有效等位基因数（纯合度的倒数）大不了多少。
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