Nagylaki T
Proc Natl Acad Sci U S A. 1977 Jun;74(6):2523-5. doi: 10.1073/pnas.74.6.2523.
The ultimate rate and pattern of approach to equilibrium of a diploid, monoecious population subdivided into a finite number of equal, large, panmictic colonies are calculated. The analysis is restricted to a single locus in the absence of selection, and every mutant is assumed to be new to the population. It is supposed that either the time-independent backward migration pattern is symmetric in the sense that the probability that an individual at position x migrated from y equals the probability that one at y migrated from x, or it depends only on displacements and not on initial and final positions. Generations are discrete and nonoverlapping. Asymptotically, the rate of convergence is approximately (I-u)2t[I-(2NT)-1]t, where u, NT, and t denote the mutation rate, total population size, and time in generations, respectively; the transient part of the probability that two homologous genes are the same allele is approximately independent of their spatial separation. Thus, in this respect the population behaves as if it were panmictic.
计算了一个二倍体雌雄同株种群达到平衡的最终速率和模式，该种群被细分为有限数量的大小相等、随机交配的大群落。分析限于在无选择情况下的单个基因座，且假定每个突变体对种群来说都是新的。假定与时间无关的反向迁移模式是对称的，即处于位置x的个体从y迁移而来的概率等于处于y的个体从x迁移而来的概率，或者它仅取决于位移而不取决于初始和最终位置。世代是离散且不重叠的。渐近地，收敛速率约为(1 - u)²t[1 - (2NT)⁻¹]t，其中u、NT和t分别表示突变率、种群总数和世代时间；两个同源基因是相同等位基因的概率的瞬态部分近似与其空间距离无关。因此，在这方面，种群的行为就好像它是随机交配的一样。
