%0 Journal Article
%T Evolutionary Processes in Finite Populations
%A Dirk M. Lorenz
%A Jeong-Man Park
%A Michael W. Deem
%J Quantitative Biology
%D 2012
%I arXiv
%R 10.1103/PhysRevE.87.022704
%X We consider the evolution of large but finite populations on arbitrary fitness landscapes. We describe the evolutionary process by a Markov, Moran process. We show that to $\mathcal O(1/N)$, the time-averaged fitness is lower for the finite population than it is for the infinite population. We also show that fluctuations in the number of individuals for a given genotype can be proportional to a power of the inverse of the mutation rate. Finally, we show that the probability for the system to take a given path through the fitness landscape can be non-monotonic in system size.
%U http://arxiv.org/abs/1204.6023v3