{
  "id": "1108.0440",
  "version": "v3",
  "published": "2011-08-01T21:43:37.000Z",
  "updated": "2013-07-23T05:48:43.000Z",
  "title": "Upper bound on the rate of adaptation in an asexual population",
  "authors": [
    "Michael Kelly"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/12-AAP873 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 2013, Vol. 23, No. 4, 1377-1408",
  "doi": "10.1214/12-AAP873",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a model of asexually reproducing individuals. The birth and death rates of the individuals are affected by a fitness parameter. The rate of mutations that cause the fitnesses to change is proportional to the population size, N. The mutations may be either beneficial or deleterious. In a paper by Yu, Etheridge and Cuthbertson [Ann. Appl. Probab. 20 (2010) 978-1004] it was shown that the average rate at which the mean fitness increases in this model is bounded below by $\\log^{1-\\delta}N$ for any $\\delta>0$. We achieve an upper bound on the average rate at which the mean fitness increases of $O(\\log N/(\\log\\log N)^2)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-23T05:48:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "asexual population",
      "mean fitness increases",
      "adaptation",
      "average rate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0440K"
    }
  }
}