## Abstract

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), if the population size is sufficiently large. This shows that if the genome is modelled as continuous, there is no limit to natural selection.

Translated title of the contribution | Asymptotic Behaviour of the Rate of Adaptation |
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Original language | English |

Publisher | Cornell University Press |

Publication status | Published - 25 Jul 2007 |