Journal
GENETICS
Volume 180, Issue 3, Pages 1627-1643Publisher
GENETICS
DOI: 10.1534/genetics.108.088716
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Funding
- National Institutes of Health (NIH) [R01GM076040, GM51932, P20 RR16448, P20 RR16454]
- National Science Foundation [DEB-0515738]
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Recent theoretical studies of the adaptation of DNA sequences assume that. the distribution of fitness effects among new beneficial mutations is exponential. This has been justified by using extreme value theory and, in particular, by assuming that the distribution of fitnesses belongs to the Gumbel domain of attraction. However, extreme value theory shows that two other domains of attraction are also possible: the Frechet and Weibull domains. Distributions in the Frechet domain have right tails that are heavier than exponential, while distributions in the Weibull domain have right tails that are truncated. To explore the consequences of relaxing the Gumbel assumption, we generalize previous adaptation theory to allow all three domains. We find that many of the previously derived Gumbel-based predictions about the first step of adaptation are fairly robust for some moderate forms of right tails in the Weibull and Frechet domains, but significant departures are possible, especially for predictions concerning multiple steps in adaptation.
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