Notohara M
Department of Biology, Faculty of Science, Kyushu University, Fukuoka, Japan.
J Math Biol. 1997 Dec;36(2):188-200. doi: 10.1007/s002850050097.
The distribution of the number of segregating sites among randomly sampled DNA sequences from a geographically structured population is studied. We assume the infinitely-many-sites model of neutral genes and no recombination. Employing the genealogical process, we derive an equation for the generating function of the distribution of the number of segregating sites. First we study the strong-migration limit and prove that the distribution converges to that for a panmictic population. We also study the case of two sampled DNA sequences in the d-dimensional torus model with homogeneous migration.
我们研究了从一个地理结构群体中随机抽样的DNA序列中分离位点数量的分布。我们假设中性基因的无限多位点模型且无重组。利用谱系过程，我们推导出了分离位点数量分布的生成函数的一个方程。首先，我们研究强迁移极限并证明该分布收敛于随机交配群体的分布。我们还研究了具有均匀迁移的d维环面模型中两个抽样DNA序列的情况。
