Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process
Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process
复制标题
使用无限等位基因马尔可夫分支过程模拟中性进化
DOI：
10.1155/2013/963831
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Wu X
中科院分区：
文献类型：
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作者：
Wu X
我们考虑无限等位基因马尔可夫分支过程（IAMBP）。我们主要关注的是这个过程的频谱，也就是在特定时间点具有给定拷贝数的等位基因的比例。我们推导出的频谱，这是有用的区间估计和假设检验过程参数的方差。此外，对于一类特殊的具有生灭子群分布的IAMBP，我们证明了其极限频谱的均值具有一个超几何函数的显式形式。我们还得到了一个渐近表达式的收敛速度的极限。模拟用于说明出生和死亡过程的结果。
We consider an infinite‐allele Markov branching process (IAMBP). Our main focus is the frequency spectrum of this process, that is, the proportion of alleles having a given number of copies at a specified time point. We derive the variance of the frequency spectrum, which is useful for interval estimation and hypothesis testing for process parameters. In addition, for a class of special IAMBP with birth and death offspring distribution, we show that the mean of its limiting frequency spectrum has an explicit form in terms of the hypergeometric function. We also derive an asymptotic expression for convergence rate to the limit. Simulations are used to illustrate the results for the birth and death process.