ASYMPTOTIC BEHAVIOR OF THE RATE OF ADAPTATION

• 成果类型: Article
• 署名作者: Yu, Feng; Etheridge, Alison; Cuthbertson, Charles
• 署名单位: University of Bristol; University of Oxford; Morgan Stanley
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP645
• 发表日期: 2010
• 页码: 978-1004
• 关键词: asexual populations; mullers ratchet; selection; mutations; LINKAGE; speed; accumulation; EVOLUTION; fitness; LIMITS

摘要

We consider the accumulation of beneficial and deleterious mutations in large asexual populations. The rate of adaptation is affected by the total mutation rate, proportion of beneficial mutations and population size N. We show that regardless of mutation rates, as long as the proportion of beneficial mutations is strictly positive, the adaptation rate is at least O(log(1-delta) N) where delta can be any small positive number, if the population size is sufficiently large. This shows that if the genome is modeled as continuous, there is no limit to natural selection, that is, the rate of adaptation grows in N without bound.