Evolutionary branching in deme-structured populations

Journal of Theoretical Biology
Joe Yuichiro Wakano, Laurent Lehmann

Abstract

Adaptive dynamics shows that a continuous trait under frequency dependent selection may first converge to a singular point followed by spontaneous transition from a unimodal trait distribution into a bimodal one, which is called "evolutionary branching". Here, we study evolutionary branching in a deme-structured population by constructing a quantitative genetic model for the trait variance dynamics, which allows us to obtain an analytic condition for evolutionary branching. This is first shown to agree with previous conditions for branching expressed in terms of relatedness between interacting individuals within demes and obtained from mutant-resident systems. We then show this branching condition can be markedly simplified when the evolving trait affect fecundity and/or survival, as opposed to affecting population structure, which would occur in the case of the evolution of dispersal. As an application of our model, we evaluate the threshold migration rate below which evolutionary branching cannot occur in a pairwise interaction game. This agrees very well with the individual-based simulation results.

References

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Citations

Aug 30, 2016·Journal of Theoretical Biology·Matthijs van VeelenCarl Veller
Jul 5, 2019·Journal of Evolutionary Biology·Asher LeeksStuart A West
Jul 21, 2019·Evolution; International Journal of Organic Evolution·Charles Mullon, Laurent Lehmann
Dec 6, 2017·Nature Ecology & Evolution·Charles MullonLaurent Lehmann
Jul 26, 2017·Scientific Reports·Miguel Dos Santos, Jorge Peña
Sep 15, 2019·Evolution; International Journal of Organic Evolution·Andrés E QuiñonesI Pen

Related Concepts

Biological Evolution
Game Theory
Underpopulation
Neomalthusianism
Selection, Genetic
Evolution, Neutral
Biological Evolution
Fertility
Branching (Qualifier Value)
Mutant

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