Minimal clade size and external branch length under the neutral coalescent
Minimal clade size and external branch length under the neutral coalescent
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DOI：
10.1239/aap/1127483740
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发表时间：
2005-09-01
影响因子：
1.2
通讯作者：
François, O
中科院分区：
文献类型：
--
作者：
Blum, MGB;François, O
给定一个样本的基因从一个大的人口，我们认为中性的聚结系谱和研究的理论和经验分布的最小分支的大小包含一个固定的基因。我们发现，理论分布是密切相关的Yule分布的参数2，和经验计数统计是渐近高斯的基因的数量增长到无穷大。然后我们考虑合并树的外部分支，并描述它们的长度。使用突变的无限多个位点模型，我们还描述了外部分支长度的条件分布，给定参考DNA序列和样品中一个最近亲属的序列之间的成对差异的数量。
Given a sample of genes taken from a large population, we consider the neutral coalescent genealogy and study the theoretical and empirical distributions of the size of the smallest clade containing a fixed gene. We show that the theoretical distribution is strongly related to a Yule distribution of parameter 2, and that the empirical count statistics are asymptotically Gaussian as the number of genes grows to infinity. Then we consider external branches of the coalescent tree, and describe their lengths. Using the infinitely many sites model of mutation, we also describe the conditional distribution of the external branch lengths, given the number of pairwise differences between a reference DNA sequence and the sequence of one closest relative in the sample.