Fu Y X
Human Genetics Center, University of Texas, Houston 77030, USA.
Genetics. 1996 Oct;144(2):829-38. doi: 10.1093/genetics/144.2.829.
The number of segregating sites in a sample of DNA sequences and the age of the most recent common ancestor (MRCA) of the sequences in the sample are positively correlated. The value of the former can be used to estimate the value of the latter. Using the coalescent approach, we derive in this paper the joint probability distribution of the number of segregating sites and the age of the MRCA of a sample under the neutral Wright-Fisher model. From this distribution, we are able to compute the likelihood function of the number of segregating sites and the posterior probability of the age of the MRCA of a sample. Three point estimators and one interval estimator of the age of the MRCA are developed; their relationships and properties are investigated. The estimation of the age of the MRCA of human Y chromosomes from a sample of no variation is discussed.
DNA序列样本中的分离位点数量与样本中序列的最近共同祖先(MRCA)的年龄呈正相关。前者的值可用于估计后者的值。本文采用合并方法,推导了在中性Wright-Fisher模型下样本的分离位点数量和MRCA年龄的联合概率分布。基于此分布,我们能够计算分离位点数量的似然函数以及样本中MRCA年龄的后验概率。开发了MRCA年龄的三个点估计器和一个区间估计器;研究了它们的关系和性质。讨论了从无变异样本中估计人类Y染色体MRCA年龄的问题。