The Inherent Randomness of Evolving Populations
arXiv:1303.1890 · doi:10.1103/PhysRevE.89.032709
Abstract
The entropy rates of the Wright-Fisher process, the Moran process, and generalizations are computed and used to compare these processes and their dependence on standard evolutionary parameters. Entropy rates are measures of the variation dependent on both short-run and long-run behavior, and allow the relationships between mutation, selection, and population size to be examined. Bounds for the entropy rate are given for the Moran process (independent of population size) and for the Wright-Fisher process (bounded for fixed population size). A generational Moran process is also presented for comparison to the Wright-Fisher Process. Results include analytic results and computational extensions.
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Cited by in corpus (5)
- Stationary Stability for Evolutionary Dynamics in Finite Populations
- Mean Evolutionary Dynamics for Stochastically Switching Environments
- Incentive Processes in Finite Populations
- Entropic Equilibria Selection of Stationary Extrema in Finite Populations
- Entropy Rates of the Multidimensional Moran Processes and Generalizations