{
  "id": "0708.3453",
  "version": "v4",
  "published": "2007-08-25T22:58:24.000Z",
  "updated": "2010-10-15T09:35:03.000Z",
  "title": "Asymptotic behavior of the rate of adaptation",
  "authors": [
    "Feng Yu",
    "Alison Etheridge",
    "Charles Cuthbertson"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/09-AAP645 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2010, Vol. 20, No. 3, 978-1004",
  "doi": "10.1214/09-AAP645",
  "categories": [
    "math.PR"
  ],
  "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 $\\mathcal{O}(\\log^{1-\\delta}N)$ 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.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-10-15T09:35:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic behavior",
      "beneficial mutations",
      "large asexual populations",
      "total mutation rate",
      "adaptation rate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.3453Y"
    }
  }
}