The Inherent Randomness of Evolving Populations
Dynamical Systems
2014-03-26 v3 Information Theory
math.IT
Populations and Evolution
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.
Cite
@article{arxiv.1303.1890,
title = {The Inherent Randomness of Evolving Populations},
author = {Marc Harper},
journal= {arXiv preprint arXiv:1303.1890},
year = {2014}
}