Fixation probabilities on superstars, revisited and revised
Fixation probabilities on superstars, revisited and revised
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DOI：
10.1016/j.jtbi.2015.06.029
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发表时间：
2015-10-07
影响因子：
2
通讯作者：
Hauert, Christoph
中科院分区：
文献类型：
--
作者：
Jamieson-Lane, Alastair;Hauert, Christoph
种群结构可能是进化过程的关键决定因素。对于图上的Moran过程，某些结构抑制选择压力，而其他结构则放大选择压力(Lieberman等人，2005年)。进化放大器抑制随机漂移，增强选择。最近，关于已知的最强大的进化放大器--超级巨星的一些结果被一个反例证明是无效的(Diaz等人，2013年)。本文对原证明进行了修正，得到了改进的上下界，表明固定概率对种群大小N-无穷大和结构参数H>；1保持在I1/(r(4)H)附近。这一修正解决了上述两篇文章的不同之处。我们还证实，在N，H>；的极限范围内，无限大的超星仍然能够消除随机漂移，从而为任何有益的突变提供任意强的选择优势。此外，我们还研究了巨星放大的稳健性，发现在选择或突变过程中，放大似乎是一种脆弱的现象。(C)2015爱思唯尔有限公司。保留所有权利。
Population structures can be crucial determinants of evolutionary processes. For the Moran process on graphs certain structures suppress selective pressure, while others amplify it (Lieberman et al., 2005). Evolutionary amplifiers suppress random drift and enhance selection. Recently, some results for the most powerful known evolutionary amplifier, the superstar, have been invalidated by a counter example (Diaz et al., 2013). Here we correct the original proof and derive improved upper and lower bounds, which indicate that the fixation probability remains close to I 1/(r(4)H) for population size N -> infinity and structural parameter H >> 1. This correction resolves the differences between the two aforementioned papers. We also confirm that in the limit N, H -> infinity superstars remain capable of eliminating random drift and hence of providing arbitrarily strong selective advantages to any beneficial mutation. In addition, we investigate the robustness of amplification in superstars and find that it appears to be a fragile phenomenon with respect to changes in the selection or mutation processes. (C) 2015 Elsevier Ltd. All rights reserved.