eprintid: 14212
rev_number: 12
eprint_status: archive
userid: 353
dir: disk0/00/01/42/12
datestamp: 2017-01-02 10:22:14
lastmod: 2021-08-27 17:28:20
status_changed: 2017-01-02 10:22:14
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Parvinen, K.
creators_name: Ohtsuki, H.
creators_name: Wakano, J. Y.
creators_id: 7727
creators_orcid: 0000-0001-9125-6041
title: The effect of fecundity derivatives on the condition of evolutionary branching in spatial models
ispublished: pub
divisions: prog_eep
keywords: Adaptive dynamics; Cooperation; Evolutionary branching; Natural selection
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.
date: 2017-03-07
date_type: published
publisher: Elsevier
id_number: 10.1016/j.jtbi.2016.12.019
creators_browse_id: 2852
full_text_status: public
publication: Journal of Theoretical Biology
volume: 416
pagerange: 129-143
refereed: TRUE
issn: 1095-8541
coversheets_dirty: FALSE
fp7_project: no
fp7_type: info:eu-repo/semantics/article
citation:   Parvinen, K. <https://pure.iiasa.ac.at/view/iiasa/2852.html> ORCID: https://orcid.org/0000-0001-9125-6041 <https://orcid.org/0000-0001-9125-6041>, Ohtsuki, H., & Wakano, J. Y.  (2017).  The effect of fecundity derivatives on the condition of evolutionary branching in spatial models.   Journal of Theoretical Biology 416 129-143. 10.1016/j.jtbi.2016.12.019 <https://doi.org/10.1016/j.jtbi.2016.12.019>.       
document_url: https://pure.iiasa.ac.at/id/eprint/14212/1/The%20effect%20of%20fecundity%20derivatives%20on%20the%20condition%20of%20evolutionary%20branching%20in%20spatial%20models.pdf