Gene genealogy and properties of test statistics of neutrality under population growth
Gene genealogy and properties of test statistics of neutrality under population growth
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DOI：
10.1534/genetics.104.032797
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发表时间：
2005-03-01
期刊：
影响因子：
3.3
通讯作者：
Tachida, H
中科院分区：
文献类型：
--
作者：
Sano, A;Tachida, H
本文研究了具有指数种群增长的Wright-Fisher模型，研究了种群增长对谱系形状和几种中性检验统计量分布的影响。在人口迅速增长的极限情况下，快速增长极限系谱的特点。我们得到了快速增长极限谱系和星星谱系中检验统计量的期望和方差的近似表达式。在星星谱中的分布比在模拟谱和快速增长极限谱中的分布窄。检验统计量的期望值和方差是扩展时间长度的单调递减函数，并且R对人口增长的较高幂被认为是由于它们的较小方差而不是期望值的改变。我们还通过模拟研究了检验统计量的分布如何快速接近快速增长极限谱系。
We consider the Wright-Fisher model with exponential population growth and investigate effects of population growth on the shape of genealogy and the distributions of several test statistics of neutrality. In the limiting case as the population grows rapidly, the rapid-growth-limit genealogy is characterized. We obtained approximate expressions for expectations and variances of test statistics in the rapid-growth-limit genealogy and star genealogy. The distributions in the star genealogy are narrower than those in the cases of the simulated and rapid-growth-limit genealogies. The expectations and variances of the test statistics are monotone decreasing functions of the time length of the expansion, and the higher power of R, against population growth is suggested to be due to their smaller variances rather than to change of the expectations. We also investigated by simulation how quickly the distributions of test statistics approach those of the rapid-growth-limit genealogy.