  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.
