{"oa":1,"oa_version":"Published Version","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T12:07:48Z","publisher":"Institute of Mathematical Statistics","scopus_import":1,"quality_controlled":"1","title":"A new model for evolution in a spatial continuum","status":"public","file":[{"date_updated":"2020-07-14T12:46:26Z","file_size":450171,"date_created":"2018-12-12T10:15:21Z","file_id":"5140","checksum":"bab577546dd4e8f882e9a9dd645cd01e","relation":"main_file","creator":"system","access_level":"open_access","file_name":"IST-2015-369-v1+1_741-2535-1-PB.pdf","content_type":"application/pdf"}],"type":"journal_article","day":"03","month":"02","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2021-01-12T07:55:34Z","date_published":"2010-02-03T00:00:00Z","publication_status":"published","issue":"7","department":[{"_id":"NiBa"}],"abstract":[{"text":"We investigate a new model for populations evolving in a spatial continuum. This model can be thought of as a spatial version of the Lambda-Fleming-Viot process. It explicitly incorporates both small scale reproduction events and large scale extinction-recolonisation events. The lineages ancestral to a sample from a population evolving according to this model can be described in terms of a spatial version of the Lambda-coalescent. Using a technique of Evans (1997), we prove existence and uniqueness in law for the model. We then investigate the asymptotic behaviour of the genealogy of a finite number of individuals sampled uniformly at random (or more generally `far enough apart') from a two-dimensional torus of sidelength L as L tends to infinity. Under appropriate conditions (and on a suitable timescale) we can obtain as limiting genealogical processes a Kingman coalescent, a more general Lambda-coalescent or a system of coalescing Brownian motions (with a non-local coalescence mechanism).","lang":"eng"}],"intvolume":"        15","publist_id":"1863","volume":15,"year":"2010","file_date_updated":"2020-07-14T12:46:26Z","ddc":["576"],"doi":"10.1214/EJP.v15-741","page":"162 - 216","has_accepted_license":"1","author":[{"orcid":"0000-0002-8548-5240","first_name":"Nicholas H","last_name":"Barton","full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Etheridge","first_name":"Alison","full_name":"Etheridge, Alison"},{"full_name":"Véber, Amandine","first_name":"Amandine","last_name":"Véber"}],"publication":"Electronic Journal of Probability","citation":{"ieee":"N. H. Barton, A. Etheridge, and A. Véber, “A new model for evolution in a spatial continuum,” <i>Electronic Journal of Probability</i>, vol. 15, no. 7. Institute of Mathematical Statistics, pp. 162–216, 2010.","mla":"Barton, Nicholas H., et al. “A New Model for Evolution in a Spatial Continuum.” <i>Electronic Journal of Probability</i>, vol. 15, no. 7, Institute of Mathematical Statistics, 2010, pp. 162–216, doi:<a href=\"https://doi.org/10.1214/EJP.v15-741\">10.1214/EJP.v15-741</a>.","short":"N.H. Barton, A. Etheridge, A. Véber, Electronic Journal of Probability 15 (2010) 162–216.","ista":"Barton NH, Etheridge A, Véber A. 2010. A new model for evolution in a spatial continuum. Electronic Journal of Probability. 15(7), 162–216.","apa":"Barton, N. H., Etheridge, A., &#38; Véber, A. (2010). A new model for evolution in a spatial continuum. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/EJP.v15-741\">https://doi.org/10.1214/EJP.v15-741</a>","chicago":"Barton, Nicholas H, Alison Etheridge, and Amandine Véber. “A New Model for Evolution in a Spatial Continuum.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2010. <a href=\"https://doi.org/10.1214/EJP.v15-741\">https://doi.org/10.1214/EJP.v15-741</a>.","ama":"Barton NH, Etheridge A, Véber A. A new model for evolution in a spatial continuum. <i>Electronic Journal of Probability</i>. 2010;15(7):162-216. doi:<a href=\"https://doi.org/10.1214/EJP.v15-741\">10.1214/EJP.v15-741</a>"},"pubrep_id":"369","language":[{"iso":"eng"}],"_id":"4243"}