群体增长下中性检验统计量的基因谱系与性质
Gene genealogy and properties of test statistics of neutrality under population growth.
作者信息
Sano Akinori, Tachida Hidenori
机构信息
Department of Biology, Graduate School of Sciences, Kyushu University, Fukuoka, Japan.
出版信息
Genetics. 2005 Mar;169(3):1687-97. doi: 10.1534/genetics.104.032797. Epub 2004 Nov 15.
Abstract
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(2) 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.
摘要
我们考虑具有指数型种群增长的赖特-费希尔模型，并研究种群增长对系谱形状以及几个中性检验统计量分布的影响。在种群快速增长的极限情况下，刻画了快速增长极限系谱。我们得到了快速增长极限系谱和星状系谱中检验统计量的期望和方差的近似表达式。星状系谱中的分布比模拟系谱和快速增长极限系谱情况下的分布更窄。检验统计量的期望和方差是扩张时间长度的单调递减函数，并且R(2)对种群增长的更高功效被认为是由于其较小的方差而非期望的变化。我们还通过模拟研究了检验统计量的分布多快接近快速增长极限系谱的分布。
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