Refereed journal article or data article (A1)

The effect of fecundity derivatives on the condition of evolutionary branching in spatial models




List of AuthorsParvinen K, Ohtsuki H, Wakano JY

PublisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD

Publication year2017

JournalJournal of Theoretical Biology

Journal name in sourceJOURNAL OF THEORETICAL BIOLOGY

Journal acronymJ THEOR BIOL

Volume number416

Start page129

End page143

Number of pages15

ISSN0022-5193

eISSN1095-8541

DOIhttp://dx.doi.org/10.1016/j.jtbi.2016.12.019


Abstract
By investigating metapopulation fitness, we present analytical expressions for the selection gradient and conditions for convergence stability and evolutionary stability in Wright's island model in terms of fecundity function. Coefficients of each derivative of fecundity function appearing in these conditions have fixed signs. This illustrates which kind of interaction promotes or inhibits evolutionary branching in spatial models. We observe that Taylor's cancellation result holds for any fecundity function: Not only singular strategies but also their convergence stability is identical to that in the corresponding well-mixed model. We show that evolutionary branching never occurs when the dispersal rate is close to zero. Furthermore, for a wide class of fecundity functions (including those determined by any pairwise game), evolutionary branching is impossible for any dispersal rate if branching does not occur in the corresponding well-mixed model. Spatial structure thus often inhibits evolutionary branching, although we can construct a fecundity function for which evolutionary branching only occurs for intermediate dispersal rates.


Last updated on 2021-24-06 at 10:55