Lorenz, Dirk M.Park, Jeong-ManDeem, Michael W.2013-03-142013-03-142013Lorenz, Dirk M., Park, Jeong-Man and Deem, Michael W.. "Evolutionary processes in finite populations." <i>Physical Review E,</i> 87, (2013) American Physical Society: 22704. http://dx.doi.org/10.1103/PhysRevE.87.022704.https://hdl.handle.net/1911/70593We 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 toO(1/N), the time-averaged fitness is lower for the finite population than it is for the infinite population.We also showthat 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 nonmonotonic in system size.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1103/PhysRevE.87.022704