Competition and niche dynamics from steady-state solutions of dispersal equations
type: Item
instance of: scholarly article
title: Competition and niche dynamics from steady-state solutions of dispersal equations
zbMATH Open document ID: 0629.92022
DOI: 10.1016/0040-5809(87)90049-9
author: J. S. Brew
published in: Theoretical Population Biology
publication date: 1987-01-01T00:00:00Z
review text: A diffusion model of animal dispersal of the type originated by \textit{J. G. Skellam} [Biometrika 38, 196-218 (1951; Zbl 0043.144)] is used to investigate competitive effects between species. The effects of aggregation, dispersal, and nett growth are related to utility functions specific to each species, and to positions on an appropriate axis. Utility, in turn, is defined by whatever underlying competition and resource-use models are used. The analysis enables niche breadth, overlap, and shift, and different measures of competitive effects, to be explicitly related to underlying competitive models, and the method and meaning of regression-based methods of estimating competitive intensity are clarified. Detailed results are given, for a specific example, concerning the effect of exploratory behaviour, local competitive intensity, and niche separation on equilibrium population numbers, competition coefficients, and on niche overlap and its variation with overall population numbers. Niche overlap is shown to be no indicator of the competition coefficient. The results are shown to accord with observational data.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4025231
zbMATH Keywords: steady-state solutions of dispersal equations
zbMATH Keywords: diffusion model of animal dispersal
zbMATH Keywords: aggregation
zbMATH Keywords: nett growth
zbMATH Keywords: utility functions
zbMATH Keywords: resource-use models
zbMATH Keywords: niche breadth
zbMATH Keywords: competitive models
zbMATH Keywords: regression-based methods of estimating competitive intensity
zbMATH Keywords: niche separation
zbMATH Keywords: equilibrium population numbers
zbMATH Keywords: competition coefficients
zbMATH Keywords: niche overlap
zbMATH Keywords: overall population numbers
reviewed by: Yasuo Sugai
MaRDI profile type: Publication
full work available at URL: 0040-5809(87)90049-9
OpenAlex ID: W2033710102
cites work: Persistence and extinction in single-species reaction-diffusion models
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cites work: Q3856484
cites work: Competition and the form of habitat shift
cites work: The role of rapid dispersal in the population dynamics of competition
cites work: RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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description: scientific article; zbMATH DE number 4025231