期刊
ANNALS OF APPLIED PROBABILITY
卷 20, 期 3, 页码 978-1004出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/09-AAP645
关键词
Adaptation rate; natural selection; evolutionary biology; Moran particle systems
资金
- University of Oxford [EPSRC/GR/T19537]
- EPSRC DTA
- Engineering and Physical Sciences Research Council [GR/T19537/01] Funding Source: researchfish
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.
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