Perturbation expansions of multilocus fixation probabilities for frequency-dependent selection with applications to the Hill-Robertson effect and to the joint evolution of helping and punishment
Perturbation expansions of multilocus fixation probabilities for frequency-dependent selection with applications to the Hill-Robertson effect and to the joint evolution of helping and punishment
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DOI：
10.1016/j.tpb.2009.03.006
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发表时间：
2009-08-01
影响因子：
1.4
通讯作者：
Rousset, Francois
中科院分区：
文献类型：
--
作者：
Lehmann, Laurent;Rousset, Francois
自然种群的规模是有限的，生物体携带多位点基因。然而，当随机遗传漂移和自然选择都影响进化动态时，关于多基因座模型的结果很少。在这篇文章中，我们描述了一种计算恒定大小种群中性附近等位态的矩的系统微扰展开的形式。这使我们能够评估在任意强度的选择和基因作用下的多位点固定概率(时刻的长期限制)。我们证明，这种固定概率可以用单个祖先内祖先基因谱系的平均第一次传代次数加权的选择系数来表示。这些通过时间延长了固定概率的单轨迹摄动公式中权重选择系数的结合时间。然后，我们应用这些结果来研究希尔-罗伯逊效应以及帮助和惩罚的共同进化。最后，我们讨论了微扰法的局限性和优点。特别是，它仅为弱选择区域(NS)提供了固定概率的精确近似
Natural populations are of finite size and organisms carry multilocus genotypes. There are, nevertheless, few results on multilocus models when both random genetic drift and natural selection affect the evolutionary dynamics. In this paper we describe a formalism to calculate systematic perturbation expansions of moments of allelic states around neutrality in populations of constant size. This allows us to evaluate multilocus fixation probabilities (long-term limits of the moments) under arbitrary strength of selection and gene action. We show that such fixation probabilities can be expressed in terms of selection coefficients weighted by mean first passages times of ancestral gene lineages within a single ancestor. These passage times extend the coalescence times that weight selection coefficients in one-locus perturbation formulas for fixation probabilities. We then apply these results to investigate the Hill-Robertson effect and the coevolution of helping and punishment. Finally, we discuss limitations and strengths of the perturbation approach. In particular, it provides accurate approximations for fixation probabilities for weak selection regimes only (Ns