Quasi-equilibrium theory for the distribution of rare alleles in a subdivided population: Justification and implications
Quasi-equilibrium theory for the distribution of rare alleles in a subdivided population: Justification and implications
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DOI：
10.1006/tpbi.2000.1453
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发表时间：
2000-05-01
影响因子：
1.4
通讯作者：
Burr, TL
中科院分区：
文献类型：
--
作者：
Burr, TL
这篇论文探讨了一个准平衡理论的稀有等位基因细分人群，遵循岛屿模型版本的赖特-费舍尔模型的进化。所有的突变都被假定为产生新的等位基因。我们呈现四个结果：（1）利用二项分布的矩的性质正式建立了理论应用的条件;（2）目前文献中的近似可以用与我们的模拟更一致的精确结果代替;（3）一种改进的迁移率极大似然估计在孤岛上表现出同样好的性能-模型数据或由混合Dirichlet分布的多项式模拟的数据上进行了比较;（4）将稀有等位基因方法与无限等位基因突变模型的Ewens抽样公式联系起来。这为Ewens抽样公式所隐含的等位基因的预期数量引入了一个新的和更简单的证明。(C)北京大学出版社.
Th is paper examines a quasi-equilibrium theory of rare alleles for subdivided populations that follow an island-model version of the Wright-Fisher model of evolution. All mutations are assumed to create new alleles. We present four results: (1) conditions for the theory to apply are formally established using properties of the moments of the binomial distribution; (2) approximations currently in the literature can be replaced with exact results that are in better agreement with our simulations; (3) a modified maximum likelihood estimator of migration rate exhibits the same good performance on island-model data or on data simulated from the multinomial mixed with the Dirichlet distribution, and (4) a connection between the rare-allele method and the Ewens Sampling Formula for the infinite-allele mutation model is made. This introduces a new and simpler proof for the expected number of alleles implied by the Ewens Sampling Formula. (C) 2000 Academic Press.