A New Model for Evolution in a Spatial Continuum
By N. Barton, A. Etheridge, Amandine Véber. 2009
105 citations recorded by the source corpus.
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).
Subfields: Condensed Matter Physics, Mathematical Physics, Sociology and Political Science
View Paper: https://www.semanticscholar.org/paper/2a86cfc79a88511e65f971f1211ff4abeb16361a
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In Condensed Matter Physics
In Mathematical Physics
In Sociology and Political Science
Citations in the corpus
- Efficient Coalescent Simulation and Genealogical Analysis for Large Sample Sizes (2015, background): “We hope to add support for simple discrete population structure in the near future, as well as for populations evolving in continuous space (Barton et al., 2010a,b, 2013b).”