A Multivariate Moran Process with Lotka-Volterra Phenomenology

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.

5 pages, 2 figures, Supplemental Material appended, accepted to Physical Review Letters

References in corpus (4)

• Coevolutionary Dynamics: From Finite to Infinite Populations
• Stochastic Models of Evolution in Genetics, Ecology and Linguistics
• Time Scales in Evolutionary Dynamics
• Mutation-selection equilibrium in games with multiple strategies

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