---
_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. Theoretical Population Biology. 2002;61(1):31-48. doi:10.1006/tpbi.2001.1557
apa: Barton, N. H., Depaulis, F., & Etheridge, A. (2002). Neutral evolution
in spatially continuous populations. Theoretical Population Biology. Academic
Press. https://doi.org/10.1006/tpbi.2001.1557
chicago: Barton, Nicholas H, Frantz Depaulis, and Alison Etheridge. “Neutral Evolution
in Spatially Continuous Populations.” Theoretical Population Biology. Academic
Press, 2002. https://doi.org/10.1006/tpbi.2001.1557.
ieee: N. H. Barton, F. Depaulis, and A. Etheridge, “Neutral evolution in spatially
continuous populations,” Theoretical Population Biology, 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.”
Theoretical Population Biology, vol. 61, no. 1, Academic Press, 2002, pp.
31–48, doi:10.1006/tpbi.2001.1557.
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'
...