CLOSED-FORM ASYMPTOTIC SAMPLING DISTRIBUTIONS UNDER THE COALESCENT WITH RECOMBINATION FOR AN ARBITRARY NUMBER OF LOCI
CLOSED-FORM ASYMPTOTIC SAMPLING DISTRIBUTIONS UNDER THE COALESCENT WITH RECOMBINATION FOR AN ARBITRARY NUMBER OF LOCI
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DOI：
10.1017/s0001867800005656
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发表时间：
2012-06-01
影响因子：
1.2
通讯作者：
Song, Yun S.
中科院分区：
文献类型：
--
作者：
Bhaskar, Anand;Song, Yun S.
获得含复合聚结的封闭采样分布是一个具有挑战性的问题。在两个基因座的情况下，最近开发了一个基于渐近级数的新框架，当重组率中等到较大时，可以推导出封闭形式的结果。本文考虑任意数目的基因座，利用组合方法求出多基因座抽样分布渐近展开式的前两项的封闭表达式。这些表达式是普遍的，因为它们在边际单位点分布方面的功能形式适用于所有有限和无限等位基因突变模型。
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 an 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.