Department of Genetics, University of Alberta, Edmonton, Alberta, Canada, T6G 2E9.
Genetics. 1983 Jul;104(3):513-29. doi: 10.1093/genetics/104.3.513.
The variance of homozygosity for a K-allele model with n partially isolated subpopulations is derived numerically using identity coefficients. The variance of homozygosity within a subpopulation is shown to depend strongly upon the migration rates between subpopulations but is not strongly influenced by the number of alleles possible at a locus. The variance of homozygosity within a subpopulation, given the value of expected homozygosity, is approximately equal to the value of the variance of homozygosity given by Stewart's formula for a single population. If the population is presumed to be panmictic, but is actually subdivided, and the gametes are sampled at random from the total population, the apparent variance of homozygosity depends on the number of alleles possible. With small migration rates and K large, the apparent variance of homozygosity is much smaller than in a single population with the same expected homozygosity. However, when K is small, the variance of homozygosity is approximately given by Stewart's formula. The transient behavior of the variance of homozygosity shows that a large number of generations may be required to approach equilibrium values.
使用恒等系数，通过数值方法推导出了具有 n 个部分隔离亚群的 K-等位基因模型的纯合度方差。亚群内纯合度的方差强烈依赖于亚群之间的迁移率，但不受基因座上可能存在的等位基因数量的强烈影响。在给定预期纯合度值的情况下，亚群内的纯合度方差近似等于 Stewart 公式对于单个群体的纯合度方差的值。如果假设群体是随机交配的，但实际上是细分的，并且从总体群中随机抽样配子，则表观纯合度方差取决于可能存在的等位基因数量。在小的迁移率和 K 较大的情况下，表观纯合度方差远小于具有相同预期纯合度的单个群体。然而，当 K 较小时，纯合度方差近似由 Stewart 公式给出。纯合度方差的瞬态行为表明，可能需要大量代才能达到平衡值。
