Upper bound on the rate of adaptation in an asexual population.

Upper bound on the rate of adaptation in an asexual population.
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无性种群适应率的上限。

DOI:
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发表时间:
2011
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影响因子:
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通讯作者:
Michael Kelly
Michael Kelly
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作者:
Michael Kelly

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我们考虑了一个具有随机突变和选择的无性繁殖个体模型。突变率与种群大小成正比。突变可能是有益的,也可能是有害的。Yu, Etheridge和Cuthbertson(2009)的论文推测该模型中平均适应度增加的平均速率为$O(log N/(log N)^2)$。在本文中,我们证明了对于任意时间$t > $存在值$epsilon_N right - row 0$和一个固定的$c bbb_1 0$,使得在[epsilon_N,t]$中的所有时间$s,总体的最大适应度大于$ cslogn /(loglogn)^2$,并且当$N$趋于无穷时,概率趋于1。
We consider a model of asexually reproducing individuals with random mutations and selection. The rate of mutations is proportional to the population size, $N$. The mutations may be either beneficial or deleterious. In a paper by Yu, Etheridge and Cuthbertson (2009) it was conjectured that the average rate at which the mean fitness increases in this model is $O(log N/(loglog N)^2)$. In this paper we show that for any time $t > 0$ there exist values $epsilon_N ightarrow 0$ and a fixed $c > 0$ such that the maximum fitness of the population is greater than $cslog N/(loglog N)^2$ for all times $s in [epsilon_N,t]$ with probability tending to 1 as $N$ tends to infinity.
DOI: 10.1016/j.tpb.2007.10.004
发表时间: 2008-02-01
影响因子: 1.4
作者:
Rouzine, Igor M.;Brunet, Eric;Wilke, Claus O.
通讯作者: Wilke, Claus O.