National Institute of Genetics, Mishima, Shizuoka-ken, 411 Japan.
Genetics. 1983 Jul;104(3):497-512. doi: 10.1093/genetics/104.3.497.
A formula for the variance of gene identity (homozygosity) was derived for the case of neutral mutations using diffusion approximations for the changes of gene frequencies in a subdivided population. It is shown that when gene flow is extremely small, the variance of gene identity for the entire population at equilibrium is smaller than that of the panmictic population with the same mean gene identity. On the other hand, although a large amount of gene flow makes a subdivided population equivalent to a panmictic population, there is an intermediate range of gene flow in which population subdivision can increase the variance. This increase results from the increased variance between colonies. In such a case, each colony has a predominant allele, but the predominant type may differ from colony to colony. The formula for obtaining the variance allows us to study such statistics as the coefficient of gene differentiation and the correlation of heterozygosity. Computer simulations were conducted to study the distribution of gene identity as well as to check the validity of the analytical formulas. Effects of selection were also studied by simulations.
推导了在分裂种群中使用扩散近似来计算中性突变下基因同质性（杂合性）方差的公式。结果表明，当基因流非常小时，平衡状态下整个种群的基因同质性方差小于具有相同平均基因同质性的随机交配种群的方差。另一方面，尽管大量的基因流使得分裂种群等同于随机交配种群，但在中间范围的基因流中，种群分裂会增加方差。这种增加是由于群体间方差的增加所致。在这种情况下，每个群体都有一个主要等位基因，但主要类型可能因群体而异。获得方差的公式使我们能够研究基因分化系数和杂合度相关性等统计数据。通过计算机模拟研究了基因同质性的分布，并检验了分析公式的有效性。还通过模拟研究了选择的影响。
