{"publication":"Electronic Journal of Probability","pubrep_id":"369","volume":15,"file":[{"relation":"main_file","creator":"system","access_level":"open_access","date_updated":"2020-07-14T12:46:26Z","file_size":450171,"file_name":"IST-2015-369-v1+1_741-2535-1-PB.pdf","content_type":"application/pdf","checksum":"bab577546dd4e8f882e9a9dd645cd01e","date_created":"2018-12-12T10:15:21Z","file_id":"5140"}],"date_created":"2018-12-11T12:07:48Z","title":"A new model for evolution in a spatial continuum","page":"162 - 216","oa_version":"Published Version","quality_controlled":"1","type":"journal_article","intvolume":"        15","author":[{"orcid":"0000-0002-8548-5240","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","last_name":"Barton","full_name":"Barton, Nicholas H"},{"last_name":"Etheridge","first_name":"Alison","full_name":"Etheridge, Alison"},{"last_name":"Véber","full_name":"Véber, Amandine","first_name":"Amandine"}],"doi":"10.1214/EJP.v15-741","department":[{"_id":"NiBa"}],"status":"public","publisher":"Institute of Mathematical Statistics","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"_id":"4243","ddc":["576"],"date_published":"2010-02-03T00:00:00Z","file_date_updated":"2020-07-14T12:46:26Z","oa":1,"year":"2010","has_accepted_license":"1","publication_status":"published","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","issue":"7","date_updated":"2021-01-12T07:55:34Z","day":"03","publist_id":"1863","scopus_import":1,"citation":{"short":"N.H. Barton, A. Etheridge, A. Véber, Electronic Journal of Probability 15 (2010) 162–216.","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>.","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.","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.","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>","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>","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>."},"abstract":[{"lang":"eng","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)."}],"month":"02","language":[{"iso":"eng"}]}