Multivariate Moran Process with Lotka-Volterra Phenomenology

Andrew E. Noble, Alan Hastings, and William F. Fagan
Phys. Rev. Lett. 107, 228101 – Published 21 November 2011; Erratum Phys. Rev. Lett. 107, 239904 (2011)
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Abstract

For a population with any given number of types, we construct a new multivariate Moran process with frequency-dependent selection and establish, analytically, a correspondence to equilibrium Lotka-Volterra phenomenology. This correspondence, on the one hand, allows us to infer the phenomenology of our Moran process based on much simpler Lokta-Volterra phenomenology and, on the other, allows us to study Lotka-Volterra dynamics within the finite populations of a Moran process. Applications to community ecology, population genetics, and evolutionary game theory are discussed.

  • Figure
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  • Received 12 July 2011
  • Publisher error corrected 23 November 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.228101

© 2011 American Physical Society

Erratum

Publisher’s Note: Multivariate Moran Process with Lotka-Volterra Phenomenology [Phys. Rev. Lett. 107, 228101 (2011)]

Andrew E. Noble, Alan Hastings, and William F. Fagan
Phys. Rev. Lett. 107, 239904 (2011)

Authors & Affiliations

Andrew E. Noble1, Alan Hastings1, and William F. Fagan2

  • 1Department of Environmental Science and Policy, University of California, Davis, California 95616, USA
  • 2Department of Biology, University of Maryland, College Park, Maryland 20742, USA

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Issue

Vol. 107, Iss. 22 — 25 November 2011

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