{
  "annotation_id": "0662e225-80dd-4964-b0d4-5f283a7ed7f2",
  "date_created": "2026-03-02T18:01:35.786000Z",
  "date_modified": "2026-03-02T18:01:35.786000Z",
  "file_hash": "3dba33c8b2b65c4b81ee280f503c93ac97ad67a93419186fa1a54048230250b5",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of a population subject to selective pressures,\nevolving either on RNA neutral networks or in toy fitness landscapes. We\ndiscuss the spread and the neutrality of the population in the steady state.\nDifferent limits arise depending on whether selection or random drift are\ndominant. In the presence of strong drift we show that observables depend\nmainly on $M \\mu$, $M$ being the population size and $\\mu$ the mutation rate,\nwhile corrections to this scaling go as 1/M: such corrections can be quite\nlarge in the presence of selection if there are barriers in the fitness\nlandscape. Also we find that the convergence to the large $M \\mu$ limit is\nlinear in $1/M \\mu$. Finally we introduce a protocol that minimizes drift; then\nobservables scale like 1/M rather than $1/(M\\mu)$, allowing one to determine\nthe large $M$ limit faster when $\\mu$ is small; furthermore the genotypic\ndiversity increases from $O(\\ln M)$ to $O(M)$.",
    "arxiv_id": "q-bio/0610034",
    "authors": [
      "Sumedha",
      "Olivier C Martin",
      "Luca Peliti"
    ],
    "categories": [
      "q-bio.PE",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/1742-5468/2007/05/P05011",
    "journal_ref": "J. Stat. Mech., P05011(2007)",
    "title": "Population size effects in evolutionary dynamics on neutral networks and   toy landscapes",
    "url": "https://arxiv.org/abs/q-bio/0610034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "98a5f75d-4254-409c-b297-40b788818f6f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}