Invasion implies substitution in ecological communities with class-structured populations

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License: CC BY-NC-ND 4.0
Serval ID
serval:BIB_56742F1C34AD
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Invasion implies substitution in ecological communities with class-structured populations
Journal
Theoretical Population Biology
Author(s)
Priklopil T., Lehmann L.
ISSN
0040-5809
Publication state
Published
Issued date
08/2020
Peer-reviewed
Oui
Volume
134
Pages
36-52
Language
english
Abstract
Long-term evolution of quantitative traits is classically and usefully described as the directional change in phenotype due to the recurrent fixation of new mutations. A formal justification for such continual evolution ultimately relies on the "invasion implies substitution"-principle. Here, whenever a mutant allele causing a small phenotypic change can successfully invade a population, the ancestral (or wild-type) allele will be replaced, whereby fostering gradual phenotypic change if the process is repeated. It has been argued that this principle holds in a broad range of situations, including spatially and demographically structured populations experiencing frequency- and density-dependent selection under demographic and environmental fluctuations. However, prior studies have not been able to account for all aspects of population structure, leaving unsettled the conditions under which the "invasion implies substitution"-principle really holds. In this paper, we start by laying out a program to explore and clarify the generality of the "invasion implies substitution"-principle. Particular focus is given on finding an explicit and functionally constant representation of the selection gradient on a quantitative trait. Using geometric singular perturbation methods, we then show that the "invasion implies substitution"-principle generalizes to well-mixed and scalar-valued polymorphic multispecies ecological communities that are structured into finitely many demographic (or physiological) classes. The selection gradient is shown to be constant over the evolutionary timescale and that it depends only on the resident phenotype, individual growth-rates, population steady states and reproductive values, all of which are calculated from the resident dynamics. Our work contributes to the theoretical foundations of evolutionary ecology.
Keywords
Behavior and Systematics,, Evolutionary ecology, Invasion implies substitution, Selection gradient, Structured populations
Pubmed
Web of science
Open Access
Yes
Funding(s)
Swiss National Science Foundation / PP00P3-123344
Create date
03/09/2020 11:41
Last modification date
04/11/2020 6:23
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