Asymptotic behavior of the rate of adaptation

F Yu, A Etheridge, C Cuthbertson

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)


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 where δ 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.
Translated title of the contributionAsymptotic behavior of the rate of adaptation
Original languageEnglish
Pages (from-to)978 - 1004
Number of pages27
JournalAnnals of Applied Probability
Issue number3
Publication statusPublished - Jun 2010

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