  The relationship between the M-species stochastic Lotka-Volterra competition
(SLVC) model and the M-allele Moran model of population genetics is explored
via timescale separation arguments. When selection for species is weak and the
population size is large but finite, precise conditions are determined for the
stochastic dynamics of the SLVC model to be mappable to the neutral Moran
model, the Moran model with frequency-independent selection and the Moran model
with frequency-dependent selection (equivalently, a game-theoretic formulation
of the Moran model). We demonstrate how these mappings can be used to calculate
extinction probabilities and the times until a species' extinction in the SLVC
model.
