A Multivariate Moran Process with Lotka-Volterra Phenomenology

Details A Multivariate Moran Process with Lotka-Volterra Phenomenology A Multivariate Moran Process with Lotka-Volterra Phenomenology

2011-10-20

arxiv.org/abs/1110.4444v1

Biology

Quantitative Biology

Populations and Evolution

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

Scientific paper

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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