Interspecies correlation for neutrally evolving traits
Interspecies correlation for neutrally evolving traits
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DOI：
10.1016/j.jtbi.2012.06.008
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发表时间：
2012-09-21
影响因子：
2
通讯作者：
Bartoszek, Krzysztof
中科院分区：
文献类型：
--
作者：
Sagitov, Serik;Bartoszek, Krzysztof
为表型进化建模的一个简单方法是假设在分裂之后，姐妹物种的性状值以独立的布朗运动发散。仅依靠底层物种树的先验分布（以现存物种的数量n为条件），我们研究随机向量(X-1，…（X-n）表示观察到的性状值。本文推导了向量（X-1，…）的样本均值方差和样本方差均值的紧凑公式。, x n)。这些公式的关键成分是从（X-1,X-…）中随机选择的两个性状值之间的相关系数。, x n)。这一种间相关系数不仅考虑了由于n个物种中两个物种的随机抽样和布朗运动的随机性而引起的变化，而且还考虑了系统发育树的不确定性。后者由（超临界或临界）条件分支过程建模。在临界情况下，我们修改奥尔多斯-波波维奇模型，假设一个适当的先验时间的起源。(C) 2012 Elsevier Ltd.版权所有。
A simple way to model phenotypic evolution is to assume that after splitting, the trait values of the sister species diverge as independent Brownian motions. Relying only on a prior distribution for the underlying species tree (conditioned on the number, n, of extant species) we study the random vector (X-1, ... , X-n) of the observed trait values. In this paper we derive compact formulae for the variance of the sample mean and the mean of the sample variance for the vector (X-1, ... , X-n).The key ingredient of these formulae is the correlation coefficient between two trait values randomly chosen from (X-1,X- ... , X-n). This interspecies correlation coefficient takes into account not only variation due to the random sampling of two species out of n and the stochastic nature of Brownian motion but also the uncertainty in the phylogenetic tree. The latter is modeled by a (supercritical or critical) conditioned branching process. In the critical case we modify the Aldous-Popovic model by assuming a proper prior for the time of origin. (C) 2012 Elsevier Ltd. All rights reserved.