---
_id: '4263'
abstract:
- lang: eng
  text: 'We introduce a general recursion for the probability of identity in state
    of two individuals sampled from a population subject to mutation, migration, and
    random drift in a two-dimensional continuum. The recursion allows for the interactions
    induced by density-dependent regulation of the population, which are inevitable
    in a continuous population. We give explicit series expansions for large neighbourhood
    size and for low mutation rates respectively and investigate the accuracy of the
    classical Malécot formula for these general models. When neighbourhood size is
    small, this formula does not give the identity even over large scales. However,
    for large neighbourhood size, it is an accurate approximation which summarises
    the local population structure in terms of three quantities: the effective dispersal
    rate, σe; the effective population density, ρe; and a local scale, κ, at which
    local interactions become significant. The results are illustrated by simulations.'
acknowledgement: This work was supported by grants from the EPSRC (GR/L10048 and an
  advanced fellowship for A.M.E.) and NERC (GR3/11635) and by the Darwin Trust of
  Edinburgh. We thank Anja Sturm for her assistance with the project and anonymous
  reviewers for helpful comments. This paper is dedicated to Charlotte, A.M.E.’s daughter
  born during the gestation of the manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Frantz
  full_name: Depaulis, Frantz
  last_name: Depaulis
- first_name: Alison
  full_name: Etheridge, Alison
  last_name: Etheridge
citation:
  ama: Barton NH, Depaulis F, Etheridge A. Neutral evolution in spatially continuous
    populations. <i>Theoretical Population Biology</i>. 2002;61(1):31-48. doi:<a href="https://doi.org/10.1006/tpbi.2001.1557">10.1006/tpbi.2001.1557</a>
  apa: Barton, N. H., Depaulis, F., &#38; Etheridge, A. (2002). Neutral evolution
    in spatially continuous populations. <i>Theoretical Population Biology</i>. Academic
    Press. <a href="https://doi.org/10.1006/tpbi.2001.1557">https://doi.org/10.1006/tpbi.2001.1557</a>
  chicago: Barton, Nicholas H, Frantz Depaulis, and Alison Etheridge. “Neutral Evolution
    in Spatially Continuous Populations.” <i>Theoretical Population Biology</i>. Academic
    Press, 2002. <a href="https://doi.org/10.1006/tpbi.2001.1557">https://doi.org/10.1006/tpbi.2001.1557</a>.
  ieee: N. H. Barton, F. Depaulis, and A. Etheridge, “Neutral evolution in spatially
    continuous populations,” <i>Theoretical Population Biology</i>, vol. 61, no. 1.
    Academic Press, pp. 31–48, 2002.
  ista: Barton NH, Depaulis F, Etheridge A. 2002. Neutral evolution in spatially continuous
    populations. Theoretical Population Biology. 61(1), 31–48.
  mla: Barton, Nicholas H., et al. “Neutral Evolution in Spatially Continuous Populations.”
    <i>Theoretical Population Biology</i>, vol. 61, no. 1, Academic Press, 2002, pp.
    31–48, doi:<a href="https://doi.org/10.1006/tpbi.2001.1557">10.1006/tpbi.2001.1557</a>.
  short: N.H. Barton, F. Depaulis, A. Etheridge, Theoretical Population Biology 61
    (2002) 31–48.
date_created: 2018-12-11T12:07:55Z
date_published: 2002-02-01T00:00:00Z
date_updated: 2023-06-06T09:57:49Z
day: '01'
doi: 10.1006/tpbi.2001.1557
extern: '1'
external_id:
  pmid:
  - '11895381'
intvolume: '        61'
issue: '1'
language:
- iso: eng
month: '02'
oa_version: None
page: 31 - 48
pmid: 1
publication: Theoretical Population Biology
publication_identifier:
  issn:
  - 0040-5809
publication_status: published
publisher: Academic Press
publist_id: '1830'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Neutral evolution in spatially continuous populations
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 61
year: '2002'
...