Models of genetic drift as limiting forms of the Lotka-Volterra competition model

George W.A. Constable, Alan J. McKane

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Abstract

The relationship between the Moran model and stochastic Lotka-Volterra competition (SLVC) model is explored via time scale separation arguments. For neutral systems the two are found to be equivalent at long times. For systems with selective pressure, their behavior differs. It is argued that the SLVC is preferable to the Moran model since in the SLVC population size is regulated by competition, rather than arbitrarily fixed as in the Moran model. As a consequence, ambiguities found in the Moran model associated with the introduction of more complex processes, such as selection, are avoided.

Original languageEnglish
Article number038101
JournalPhysical Review Letters
Volume114
Issue number3
DOIs
Publication statusPublished - 22 Jan 2015

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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