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A New Model for Evolution in a Spatial Continuum

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A New Model for Evolution in a Spatial Continuum
2.	Creator	Author's name, affiliation, country	Nick H Barton; Institute of Science and Technology; Austria
2.	Creator	Author's name, affiliation, country	Alison M Etheridge; University of Oxford; United Kingdom
2.	Creator	Author's name, affiliation, country	Amandine Véber; Université Paris 11; France
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	genealogy, evolution, multiple merger coalescent, spatial continuum, spatial Lambda-coalescent, generalised Fleming-Viot process
3.	Subject	Subject classification	60J25, 92D10, 92D15
4.	Description	Abstract	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).
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	EPSRC Grant EP/E065945/1 ; EPSRC Grant EP/E066070/1
7.	Date	(YYYY-MM-DD)	2010-02-03
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/741
10.	Identifier	Digital Object Identifier	10.1214/EJP.v15-741
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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