A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing
A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing
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DOI：
10.1239/aap/1035228080
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发表时间：
1998-06-01
影响因子：
1.2
通讯作者：
Mohle, M
中科院分区：
文献类型：
--
作者：
Mohle, M
本文给出了一个简单的马氏链序列的收敛定理，从而得到了二倍体中性种群模型的“收敛到合并”的新结果.对于具有自交配概率s和突变率θ的所谓二倍体Wright-Fisher模型，证明了n个样本基因的祖先结构可以在具有突变率的n-合并的框架下处理：= theta（1 - s/2），如果人口规模N很大，如果时间以（2 - s）N代为单位测量。
A simple convergence theorem for sequences of Markov chains is presented in order to derive new 'convergence-to-the-coalescent' results for diploid neutral population models.For the so-called diploid Wright-Fisher model with selfing probability s and mutation rate theta, it is shown that the ancestral structure of n sampled genes can be treated in the framework of an n-coalescent with mutation rate := theta(1 - s/2), if the population size N is large and if the time is measured in units of (2 - s)N generations.