Chakraborty R, Nei M
Genetics. 1976 Oct;84(2):385-93. doi: 10.1093/genetics/84.2.385.
The amount of hidden genetic variability within electromorphs in finite populations is studied by using the infinite site model and stepwise mutation model simultaneously. A formula is developed for the bivariate probability generating function for the number of codon differences and the number of electromorph state differences between two randomly chosen cistrons. Using this formula, the distribution as well as the mean and variance of the number of codon differences between two identical or nonidentical electromorphs are studied. The distribution of the number of codon differences between two randomly chosen identical electromorphs is similar to the geometric distribution but more leptokurtic. Studies are also made on the number of codon differences between two electromorphs chosen at random one from each of two populations which have been separated for an arbitrary number of generations. It is shown that the amount of hidden genetic variability is very large if the product of effective population size and mutation rate is large.
通过同时使用无限位点模型和逐步突变模型,研究了有限群体中电形态内隐藏的遗传变异性数量。推导了一个用于两个随机选择的顺反子之间密码子差异数量和电形态状态差异数量的二元概率生成函数的公式。利用这个公式,研究了两个相同或不同电形态之间密码子差异数量的分布以及均值和方差。两个随机选择的相同电形态之间密码子差异数量的分布类似于几何分布,但更尖峰。还研究了从已经分离任意代数的两个群体中各随机选择一个的两个电形态之间的密码子差异数量。结果表明,如果有效群体大小和突变率的乘积很大,隐藏的遗传变异性数量就会非常大。