title: 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.
authors.affiliation: Department of Environmental Science and Policy, University of California, Davis, California 95616, USA.
authors.forename: Andrew E
authors.initials: AE
authors.lastname: Noble
authors.forename: Alan
authors.initials: A
authors.lastname: Hastings
authors.forename: William F
authors.initials: WF
authors.lastname: Fagan
mesh_terms: D015999:Multivariate Analysis; D055585:Physical Phenomena; D013269:Stochastic Processes