......................................................................................................................................................................... Dr Tobias Bast! 2 ................................................................................................................................................................ Dr Charlotte Bonardi! 2 ...........................

This paper proposes and analyzes a model of stochastic evolution in finite populations. The expected motion in our model resembles the standard replicator dynamic when the population is large, but is qualitatively different when the population size is small, due to the difference between maximizing payoff and maximizing relative payoff. Moreover, even in large populations the asymptotic behavio...

The Moran model is used in population genetics as a simple way to describe the stochastic evolution of a biological population. The model assumes that the population has a fixed size N and that it evolves through random reproduction events, in which one individual dies and is replaced by a newborn. Parents of the newborn individual are chosen at random from the population. In the classical Mora...

In this paper I illustrate the use of general conditions, derived by Pinkse (1999), under which Moran–flavoured tests for spatial correlation and spatial cross–correlation have a limiting normal distribution in the presence of nuisance parameters in six frequently encountered spatial models. The conditions are weaker than those in related work by other authors and the class of nuisance paramete...

We present a Moran-model approach to modeling general multiallelic selection in a finite population and show how it may be used to develop theoretical models of biological systems of balancing selection such as plant gametophytic self-incompatibility loci. We propose new expressions for the stationary distribution of allele frequencies under selection and use them to show that the continuous-ti...