Modelling evolution in a spatial continuum

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Published 16 January 2013 IOP Publishing Ltd
, , Citation N H Barton et al J. Stat. Mech. (2013) P01002 DOI 10.1088/1742-5468/2013/01/P01002

1742-5468/2013/01/P01002

Abstract

We survey a class of models for spatially structured populations which we have called spatial Λ-Fleming–Viot processes. They arise from a flexible framework for modelling in which the key innovation is that random genetic drift is driven by a Poisson point process of spatial 'events'. We demonstrate how this overcomes some of the obstructions to modelling populations which evolve in two-(and higher-) dimensional spatial continua, how its predictions match phenomena observed in data and how it fits with classical models. Finally we outline some directions for future research.

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10.1088/1742-5468/2013/01/P01002