{"abstract":[{"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.","lang":"eng"}],"issue":"1","extern":"1","date_published":"2002-02-01T00:00:00Z","publication_status":"published","date_updated":"2023-06-06T09:57:49Z","pmid":1,"article_processing_charge":"No","month":"02","day":"01","type":"journal_article","status":"public","quality_controlled":"1","title":"Neutral evolution in spatially continuous populations","scopus_import":"1","publisher":"Academic Press","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","date_created":"2018-12-11T12:07:55Z","oa_version":"None","_id":"4263","language":[{"iso":"eng"}],"citation":{"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.","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.","ista":"Barton NH, Depaulis F, Etheridge A. 2002. Neutral evolution in spatially continuous populations. Theoretical Population Biology. 61(1), 31–48.","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>.","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>","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>"},"article_type":"original","publication_identifier":{"issn":["0040-5809"]},"external_id":{"pmid":["11895381"]},"publication":"Theoretical Population Biology","author":[{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","last_name":"Barton","first_name":"Nicholas H","orcid":"0000-0002-8548-5240"},{"full_name":"Depaulis, Frantz","last_name":"Depaulis","first_name":"Frantz"},{"full_name":"Etheridge, Alison","last_name":"Etheridge","first_name":"Alison"}],"doi":"10.1006/tpbi.2001.1557","page":"31 - 48","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.","year":"2002","volume":61,"publist_id":"1830","intvolume":"        61"}