Fixation probability for competing selective sweeps

Fixation probability for competing selective sweeps
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DOI:
10.1214/ejp.v17-1954
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发表时间:
2012-04-23
影响因子:
1.4
通讯作者:
Yu, Feng
Yu, Feng
中科院分区:
数学3区
文献类型:
--
作者:
Cuthbertson, Charles;Etheridge, Alison;Yu, Feng

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我们考虑一个生物种群,当第二个有益突变出现在一个连锁位点时,一个有益突变正在进行选择性扫描。我们研究这两种突变最终在群体中固定的概率。先前的工作已经处理了第二次突变产生的益处比第一次小的情况。在这种情况下,人口规模几乎不起作用。在这里,我们考虑相反的情况,并观察到,相比之下,两个突变固定的概率可以在很大程度上取决于人口规模。事实上,关键参数是r N,即群体大小和两个选定基因座之间的重组率的乘积。如果r N很小,两个突变固定的概率可以通过干扰降低到几乎为零,而对于大的r N,突变几乎不相互影响。主要的严格结果是一种方法,用于计算固定概率的双突变体在大人口的限制。
We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus. We investigate the probability that both mutations will eventually fix in the population. Previous work has dealt with the case where the second mutation to arise confers a smaller benefit than the first. In that case population size plays almost no role. Here we consider the opposite case and observe that, by contrast, the probability of both mutations fixing can be heavily dependent on population size. Indeed the key parameter is r N, the product of the population size and the recombination rate between the two selected loci. If r N is small, the probability that both mutations fix can be reduced through interference to almost zero while for large r N the mutations barely influence one another. The main rigorous result is a method for calculating the fixation probability of a double mutant in the large population limit.