Multivariate Moran process with Lotka-Volterra phenomenology |
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Authors: | Noble Andrew E Hastings Alan Fagan William F |
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Institution: | Department of Environmental Science and Policy, University of California, Davis, California 95616, USA. |
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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. |
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