dorsal/arxiv
View SchemaThe Speed of Adaptation in Large Asexual Populations
| Authors | Claus O. Wilke |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0402009 |
| URL | https://arxiv.org/abs/q-bio/0402009 |
| Journal | Genetics 167:2045-2053, 2004 |
Abstract
In large asexual populations, beneficial mutations have to compete with each other for fixation. Here, I derive explicit analytic expressions for the rate of substitution and the mean beneficial effect of fixed mutations, under the assumptions that the population size N is large, that the mean effect of new beneficial mutations is smaller than the mean effect of new deleterious mutations, and that new beneficial mutations are exponentially distributed. As N increases, the rate of substitution approaches a constant, which is equal to the mean effect of new beneficial mutations. The mean effect of fixed mutations continues to grow logarithmically with N. The speed of adaptation, measured as the change of log fitness over time, also grows logarithmically with N for moderately large N, and it grows double-logarithmically for extremely large N. Moreover, I derive a simple formula that determines whether at given N beneficial mutations are expected to compete with each other or go to fixation independently. Finally, I verify all results with numerical simulations.
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"abstract": "In large asexual populations, beneficial mutations have to compete with each\nother for fixation. Here, I derive explicit analytic expressions for the rate\nof substitution and the mean beneficial effect of fixed mutations, under the\nassumptions that the population size N is large, that the mean effect of new\nbeneficial mutations is smaller than the mean effect of new deleterious\nmutations, and that new beneficial mutations are exponentially distributed. As\nN increases, the rate of substitution approaches a constant, which is equal to\nthe mean effect of new beneficial mutations. The mean effect of fixed mutations\ncontinues to grow logarithmically with N. The speed of adaptation, measured as\nthe change of log fitness over time, also grows logarithmically with N for\nmoderately large N, and it grows double-logarithmically for extremely large N.\nMoreover, I derive a simple formula that determines whether at given N\nbeneficial mutations are expected to compete with each other or go to fixation\nindependently. Finally, I verify all results with numerical simulations.",
"arxiv_id": "q-bio/0402009",
"authors": [
"Claus O. Wilke"
],
"categories": [
"q-bio.PE"
],
"journal_ref": "Genetics 167:2045-2053, 2004",
"title": "The Speed of Adaptation in Large Asexual Populations",
"url": "https://arxiv.org/abs/q-bio/0402009"
},
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