  The relationship between the Moran model and stochastic Lotka-Volterra
competition (SLVC) model is explored via timescale separation arguments. For
neutral systems the two are found to be equivalent at long times. For systems
with selective pressure, their behavior differs. It is argued that the SLVC is
preferable to the Moran model since in the SLVC population size is regulated by
competition, rather than arbitrarily fixed as in the Moran model. As a
consequence, ambiguities found in the Moran model associated with the
introduction of more complex processes, such as selection, are avoided.
