Limits on amplifiers of natural selection under death-Birth updating
Limits on amplifiers of natural selection under death-Birth updating
复制标题
死亡-出生更新下自然选择放大器的限制
DOI：
10.1371/journal.pcbi.1007494
复制
发表时间：
2019
影响因子：
4.3
通讯作者：
M. Nowak
中科院分区：
文献类型：
--
作者：
Josef Tkadlec;Andreas Pavlogiannis;K. Chatterjee;M. Nowak
在进化动力学中，单个突变体入侵种群的固定概率是研究最广泛的数量之一。自然选择的放大器是种群结构，与混合良好的种群相比，它增加了优势突变的固定概率。大量研究表明，生灭Moran过程存在许多放大因子，其中一些放大因子大大增加了固定概率，甚至在大种群规模的限制下保证了固定。另一方面，死亡-出生-莫兰过程中没有已知的放大器，计算机辅助的详尽搜索也没有发现放大器。在这项工作中，我们解决了这种差异，通过显示任何放大在死亡-出生更新必然是有限的和短暂的。我们的有界性结果表明，即使种群结构确实放大了选择，所产生的固定概率也接近于混合良好的种群的固定概率。我们的瞬态结果表明，对于任何种群结构，都存在一个阈值r -当突变适应度优势r大于r -时，种群结构停止放大选择。最后，我们还将上述结果推广到δ-death-Birth更新，它是Birth-death和death-Birth更新的结合。从积极的方面来看，我们发现种群结构在r和δ值的大范围内保持扩增。这些结果表明，自然选择的放大取决于进化过程的特定机制。
The fixation probability of a single mutant invading a population of residents is among the most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are population structures that increase the fixation probability of advantageous mutants, compared to well-mixed populations. Extensive studies have shown that many amplifiers exist for the Birth-death Moran process, some of them substantially increasing the fixation probability or even guaranteeing fixation in the limit of large population size. On the other hand, no amplifiers are known for the death-Birth Moran process, and computer-assisted exhaustive searches have failed to discover amplification. In this work we resolve this disparity, by showing that any amplification under death-Birth updating is necessarily bounded and transient. Our boundedness result states that even if a population structure does amplify selection, the resulting fixation probability is close to that of the well-mixed population. Our transience result states that for any population structure there exists a threshold r⋆ such that the population structure ceases to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally, we also extend the above results to δ-death-Birth updating, which is a combination of Birth-death and death-Birth updating. On the positive side, we identify population structures that maintain amplification for a wide range of values r and δ. These results demonstrate that amplification of natural selection depends on the specific mechanisms of the evolutionary process.
影响因子：
0.6
作者：
Broom, M.;Rychtar, J.;Stadler, B. T.
通讯作者：
Stadler, B. T.
DOI：
10.1098/rspa.2008.0058
发表时间：
2008-10-08
影响因子：
3.5
作者：
Broom, M.;Rychtar, J.
通讯作者：
Rychtar, J.
影响因子：
4.3
作者：
Allen, Benjamin;Sample, Christine;Dementieva, Yulia A.
通讯作者：
Dementieva, Yulia A.