Bhaskar Anand, Song Yun S
University of California, Berkeley.
Adv Appl Probab. 2012 Jun;44(2):391-407. doi: 10.1239/aap/1339878717.
Obtaining a closed-form sampling distribution for the coalescent with recombination is a challenging problem. In the case of two loci, a new framework based on asymptotic series has recently been developed to derive closed-form results when the recombination rate is moderate to large. In this paper, an arbitrary number of loci is considered and combinatorial approaches are employed to find closed-form expressions for the first couple of terms in an asymptotic expansion of the multi-locus sampling distribution. These expressions are universal in the sense that their functional form in terms of the marginal one-locus distributions applies to all finite- and infinite-alleles models of mutation.
获得带有重组的溯祖过程的闭式抽样分布是一个具有挑战性的问题。对于两个基因座的情况，最近已经开发了一个基于渐近级数的新框架，以便在重组率为中等至较大时得出闭式结果。在本文中，我们考虑了任意数量的基因座，并采用组合方法来找到多位点抽样分布渐近展开式中前几项的闭式表达式。这些表达式具有通用性，因为它们关于边际单基因座分布的函数形式适用于所有有限和无限等位基因突变模型。
