UPPER BOUND ON THE RATE OF ADAPTATION IN AN ASEXUAL POPULATION

被引:5
作者
Kelly, Michael [1 ]
机构
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
关键词
Evolutionary process; Moran model; selection; adaptation rate; LINKAGE;
D O I
10.1214/12-AAP873
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider a model of asexually reproducing individuals. The birth and death rates of the individuals are affected by a fitness parameter. The rate of mutations that cause the fitnesses to change is proportional to the population size, N. The mutations may be either beneficial or deleterious. In a paper by Yu, Etheridge and Cuthbertson [Ann. Appl. Probab. 20 (2010) 978-1004] it was shown that the average rate at which the mean fitness increases in this model is bounded below by log(1-delta) N for any delta > 0. We achieve an upper bound on the average rate at which the mean fitness increases of O (log N/(log log N)(2)).
引用
收藏
页码:1377 / 1408
页数:32
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