ON THE 2-LOCUS SAMPLING DISTRIBUTION
ON THE 2-LOCUS SAMPLING DISTRIBUTION
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DOI：
10.1007/bf00168175
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发表时间：
1990-01-01
影响因子：
1.9
通讯作者：
GRIFFITHS, RC
中科院分区：
文献类型：
--
作者：
ETHIER, SN;GRIFFITHS, RC
讨论了两种方法，用于评估来自平稳状态下的两基因座无限多个中性等位基因扩散模型的大小为 n 的随机样本中未标记的配子类型的配置分布。两者都涉及寻找满足所需概率的线性方程组。第一种方法是由 Golding 提出的，它是在系统中包含额外的概率，允许仅在一个基因座指定样本的某些成员。第二种方法是新的，考虑了样本配置的联合分布和自最近共同祖先以来的重组事件的数量。第一种方法用于数值计算，而第二种方法用于导出霍普瓮模型的双轨迹版本。后者允许有效模拟双基因座采样分布，前提是重组参数不太大。
Two methods are discussed for evaluating the distribution of the configuration of unlabeled gametic types in a random sample of size n from the two-locus infinitely-many-neutral-alleles diffusion model at stationarity. Both involve finding systems of linear equations satisfied by the desired probabilities. The first approach, which is due to Golding, is to include additional probabilities in the system that allow some members of the sample to be specified at only one locus. The second approach, which is new, considers the joint distribution of the sample configuration and the number of recombination events since the time of the most recent common ancestor. The first approach is used for numerical computation, whereas the second approach is used to derive a two-locus version of Hoppe''s urn model. The latter permits efficient simulation of the two-locus sampling distribution, provided the recombination parameter is not too large.