eprintid: 13550
rev_number: 10
eprint_status: archive
userid: 5
dir: disk0/00/01/35/50
datestamp: 2016-08-03 08:45:50
lastmod: 2021-08-27 17:27:32
status_changed: 2016-08-03 08:45:50
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Ito, H.
creators_name: Sasaki, A.
creators_id: 8233
creators_orcid: 0000-0003-3582-5865
title: Evolutionary branching under multi-dimensional evolutionary constraints
ispublished: pub
divisions: prog_eep
keywords: Adaptive evolution; Ecological interaction; Frequency-dependent selection; Speciation; Evolutionary constraint; Lagrange multiplier method
abstract: The fitness of an existing phenotype and of a potential mutant should generally depend on the frequencies of other existing phenotypes. Adaptive evolution driven by such frequency-dependent fitness functions can be analyzed effectively using adaptive dynamics theory, assuming rare mutation and asexual reproduction. When possible mutations are restricted to certain directions due to developmental, physiological, or physical constraints, the resulting adaptive evolution may be restricted to subspaces (constraint surfaces) with fewer dimensionalities than the original trait spaces. To analyze such dynamics along constraint surfaces efficiently, we develop a Lagrange multiplier method in the framework of adaptive dynamics theory. On constraint surfaces of arbitrary dimensionalities described with equality constraints, our method efficiently finds local evolutionarily stable strategies, convergence stable points, and evolutionary branching points. We also derive the conditions for the existence of evolutionary branching points on constraint surfaces when the shapes of the surfaces can be chosen freely.
date: 2016-10-21
date_type: published
publisher: Elsevier
id_number: 10.1016/j.jtbi.2016.07.011
creators_browse_id: 267
full_text_status: public
publication: Journal of Theoretical Biology
volume: 407
pagerange: 409-428
refereed: TRUE
issn: 0022-5193
coversheets_dirty: FALSE
fp7_project: no
fp7_type: info:eu-repo/semantics/article
citation:   Ito, H. & Sasaki, A. <https://pure.iiasa.ac.at/view/iiasa/267.html> ORCID: https://orcid.org/0000-0003-3582-5865 <https://orcid.org/0000-0003-3582-5865>  (2016).  Evolutionary branching under multi-dimensional evolutionary constraints.   Journal of Theoretical Biology 407 409-428. 10.1016/j.jtbi.2016.07.011 <https://doi.org/10.1016/j.jtbi.2016.07.011>.       
document_url: https://pure.iiasa.ac.at/id/eprint/13550/1/ito_sasaki_lagrange_2016_preprint.pdf