{
  "id": "1105.0793",
  "version": "v1",
  "published": "2011-05-04T11:30:33.000Z",
  "updated": "2011-05-04T11:30:33.000Z",
  "title": "Moment closure in a Moran model with recombination",
  "authors": [
    "Ellen Baake",
    "Thiemo Hustedt"
  ],
  "comment": "12 pages, 3 figures, Markov Processes and Related Fields, in press",
  "journal": "Markov Proc. Relat. Fields 17 (2011), 429-446",
  "categories": [
    "math.PR",
    "q-bio.PE"
  ],
  "abstract": "We extend the Moran model with single-crossover recombination to include general recombination and mutation. We show that, in the case without resampling, the expectations of products of marginal processes defined via partitions of sites form a closed hierarchy, which is exhaustively described by a finite system of differential equations. One thus has the exceptional situation of moment closure in a nonlinear system. Surprisingly, this property is lost when resampling (i.e., genetic drift) is included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-04T11:30:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92D15",
      "60J28"
    ],
    "keywords": [
      "moran model",
      "moment closure",
      "general recombination",
      "genetic drift",
      "single-crossover recombination"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.0793B"
    }
  }
}