Slade P F
Department of Mathematics and Statistics, Monash University, Clayton, Victoria, Australia.
J Math Biol. 2001 Jan;42(1):41-70. doi: 10.1007/pl00000072.
An ancestral influence graph is derived, an analogue of the coalescent and a composite of Griffiths' (1991) two-locus ancestral graph and Krone and Neuhauser's (1997) ancestral selection graph. This generalizes their use of branching-coalescing random graphs so as to incorporate both selection and recombination into gene genealogies. Qualitative understanding of a 'hitch-hiking' effect on genealogies is pursued via diagrammatic representation of the genealogical process in a two-locus, two-allele haploid model. Extending the simulation technique of Griffiths and Tavare (1996), computational estimation of expected times to the most recent common ancestor of samples of n genes under recombination and selection in two-locus, two-allele haploid and diploid models are presented. Such times are conditional on sample configuration. Monte Carlo simulations show that 'hitch-hiking' is a subtle effect that alters the conditional expected depth of the genealogy at the linked neutral locus depending on a mutation-selection-recombination balance.
推导出一个祖先影响图，它是合并过程的类似物，也是格里菲思（1991年）的双位点祖先图和克罗内与诺伊豪泽（1997年）的祖先选择图的组合。这推广了他们对分支合并随机图的使用，以便将选择和重组纳入基因谱系。通过在双位点、双等位基因单倍体模型中对谱系过程的图示表示，来探讨对谱系的“搭便车”效应的定性理解。扩展了格里菲思和塔瓦雷（1996年）的模拟技术，给出了在双位点、双等位基因单倍体和二倍体模型中，在重组和选择情况下，n个基因样本到最近共同祖先的预期时间的计算估计。这些时间以样本构型为条件。蒙特卡罗模拟表明，“搭便车”是一种微妙的效应，它会根据突变-选择-重组平衡改变连锁中性位点处谱系的条件预期深度。
