Natural selection, fitness entropy, and the dynamics of coevolution
type: Item
instance of: scholarly article
title: Natural selection, fitness entropy, and the dynamics of coevolution
zbMATH Open document ID: 0607.92015
DOI: 10.1016/0040-5809(86)90039-0
author: Robert A. Desharnais
published in: Theoretical Population Biology
publication date: 1986-01-01T00:00:00Z
review text: Single locus genetic models of weak selection were combined with Lotka- Volterra models of population growth to study the coevolutionary dynamics of interacting populations (species). Using the fitness entropy function the selective difference area as the total difference between population size trajectories of the evolving population and a reference population initially in equilibrium is obtained. This is shown to be a linear function of the fitness entropies of each species. Thereby the extra life a species would realize if the entire community were at equilibrium is estimated, which is shown to be independent of the strength of selection. Numerical examples and a generalization for arbitrary population growth are also given.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 3982979
zbMATH Keywords: genetic equilibrium
zbMATH Keywords: population genetics
zbMATH Keywords: Single locus genetic models of weak selection
zbMATH Keywords: Lotka-Volterra models of population growth
zbMATH Keywords: coevolutionary dynamics of interacting populations
zbMATH Keywords: fitness entropy function
zbMATH Keywords: selective difference area
zbMATH Keywords: Numerical examples
Wikidata QID: Q39756405
MaRDI profile type: Publication
full work available at URL: 0040-5809(86)90039-0
OpenAlex ID: W2075949288
cites work: Coevolution in resource-limited competition communities
cites work: Q3848373
cites work: Q5659379
cites work: Q4119162
cites work: Q4134790
cites work: Local consideration of polymorphisms for populations coexisting in stable ecosystems
cites work: Sector stability of a complex ecosystem model
cites work: Deterministic single-locus density-dependent selection
cites work: Q3280106
cites work: Q4060816
cites work: Q5650234
cites work: Q3289487
cites work: DISCUSSION PAPER: THE QUALITATIVE ANALYSIS OF PARTIALLY SPECIFIED SYSTEMS
cites work: SOME GENERALIZED THEOREMS OF NATURAL SELECTION
cites work: Stable Equilibrium at a Sex-linked Locus
cites work: Q4126113
cites work: Continuous selective models
cites work: The evolution of resource partitioning in a multidimensional resource space
cites work: Homage to the red queen. II. Coevolutionary response to enrichment of exploitation ecosystems
cites work: Resource partitioning among competing species - a coevolutionary approach
cites work: Homage to the red queen. I. Coevolution of predators and their victims
cites work: The existence of globally stable equilibria of ecosystems of the generalized Volterra type
description: scientific article; zbMATH DE number 3982979