Information and (co-)variances in discrete evolutionary genetics involving solely selection
arXiv:0908.3946 · doi:10.1088/1742-5468/2009/09/P09013
Abstract
The purpose of this Note is twofold: First, we introduce the general formalism of evolutionary genetics dynamics involving fitnesses, under both the deterministic and stochastic setups, and chiefly in discrete-time. In the process, we particularize it to a one-parameter model where only a selection parameter is unknown. Then and in a parallel manner, we discuss the estimation problems of the selection parameter based on a single-generation frequency distribution shift under both deterministic and stochastic evolutionary dynamics. In the stochastics, we consider both the celebrated Wright-Fisher and Moran models.
a paraitre dans Journal of Statistical Mechanics: Theory and Applications