Information and (co-)variances in discrete evolutionary genetics involving solely selection

TL;DR

This paper introduces a formal framework for discrete-time evolutionary genetics involving fitness, focusing on estimating a single selection parameter from frequency data under deterministic and stochastic models like Wright-Fisher and Moran.

Contribution

It develops a general formalism for evolutionary dynamics with fitnesses and addresses the estimation of a key selection parameter in discrete models.

Findings

Formalism for evolutionary dynamics with fitnesses

Estimation methods for the selection parameter

Analysis under Wright-Fisher and Moran models

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.