[{"file":[{"date_updated":"2018-12-12T10:15:21Z","date_created":"2018-12-12T10:15:21Z","content_type":"application/pdf","creator":"system","file_size":450171,"relation":"main_file","file_name":"IST-2015-369-v1+1_741-2535-1-PB.pdf","file_id":"5140","access_level":"open_access","open_access":1}],"title":"A new model for evolution in a spatial continuum","publisher":"Institute of Mathematical Statistics","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, pp. 162–216, 2010.","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>, <i>15</i>(7), 162–216. <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.","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>","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>.","chicago":"Barton, Nicholas H, Alison Etheridge, and Amandine Véber. “A New Model for Evolution in a Spatial Continuum.” <i>Electronic Journal of Probability</i> 15, no. 7 (2010): 162–216. <a href=\"https://doi.org/10.1214/EJP.v15-741\">https://doi.org/10.1214/EJP.v15-741</a>.","short":"N.H. Barton, A. Etheridge, A. Véber, Electronic Journal of Probability 15 (2010) 162–216."},"language":[{"iso":"eng"}],"volume":15,"month":"02","intvolume":"        15","oa_version":"Published Version","file_date_updated":"2018-12-12T10:15:21Z","publication_status":"published","cc_license":"'https://creativecommons.org/licenses/by/4.0/'","publist_id":"1863","accept":"1","oa":1,"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"}],"pubrep_id":"369","_id":"4243","quality_controlled":"1","author":[{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","last_name":"Barton","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","first_name":"Nicholas H"},{"full_name":"Etheridge, Alison","first_name":"Alison","last_name":"Etheridge"},{"first_name":"Amandine","full_name":"Véber, Amandine","last_name":"Véber"}],"ddc":["576"],"date_updated":"2019-08-02T12:38:25Z","publication":"Electronic Journal of Probability","type":"journal_article","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","issue":"7","status":"public","year":"2010","department":[{"_id":"NiBa"}],"day":"03","date_published":"2010-02-03T00:00:00Z","doi":"10.1214/EJP.v15-741","page":"162 - 216","date_created":"2018-12-11T12:07:48Z"}]