--- _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' ...