ASYMPTOTIC BEHAVIOR OF THE RATE OF ADAPTATION

Journal article

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-δN) 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 measure for the centred process, while another one pointed us to the reference on Lambert W functions. © Institute of Mathematical Statistics 2010.

Authors: Yu, F; Etheridge, A; Cuthbertson, C

• Publication status: Published
• Journal: ANNALS OF APPLIED PROBABILITY
• Volume: 20
• Issue: 3
• Pages: 978-1004
• Publication date: 2010-06-01
• DOI: 10.1214/09-AAP645
• EISSN: 1050-5164
• ISSN: 1050-5164
• Language: English
• Keywords: evolutionary biology; Moran particle systems; natural selection; Adaptation rate