A Multivariate Moran Process with Lotka-Volterra Phenomenology
Populations and Evolution
2015-05-30 v1
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.
Keywords
Cite
@article{arxiv.1110.4444,
title = {A Multivariate Moran Process with Lotka-Volterra Phenomenology},
author = {Andrew E. Noble and Alan Hastings and William F. Fagan},
journal= {arXiv preprint arXiv:1110.4444},
year = {2015}
}
Comments
5 pages, 2 figures, Supplemental Material appended, accepted to Physical Review Letters