Evolutionary branching under multi-dimensional evolutionary constraints

13550 10 75888 2 209562 document 75888 ito_sasaki_lagrange_2016_preprint.pdf application/pdf 57d1a8b7e4fb13595ed937d8bfb01ee9 MD5 1093834 2017-02-03 10:09:04 https://pure.iiasa.ac.at/id/eprint/13550/1/ito_sasaki_lagrange_2016_preprint.pdf 13550 1 1 application/pdf text en public cc_by

ito_sasaki_lagrange_2016_preprint.pdf

submitted 75889 2 209565 document 75889 lightbox.jpg image/png 2e9421ed6d47bf4455a82ebd4a0472b0 MD5 11880 2017-02-03 10:09:20 https://pure.iiasa.ac.at/id/eprint/13550/2/lightbox.jpg 13550 2 2 image/png other Thumbnails conversion from text to thumbnail_lightbox en public

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/75888 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/75888 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/75888 archive 5 disk0/00/01/35/50 2016-08-03 08:45:50 2021-08-27 17:27:32 2016-08-03 08:45:50 article show Ito H. Sasaki A. 8233 0000-0003-3582-5865 Evolutionary branching under multi-dimensional evolutionary constraints pub prog_eep Adaptive evolution; Ecological interaction; Frequency-dependent selection; Speciation; Evolutionary constraint; Lagrange multiplier method 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. 2016-10-21 published Elsevier 10.1016/j.jtbi.2016.07.011 267 public Journal of Theoretical Biology 407 409-428 TRUE 0022-5193 FALSE no info:eu-repo/semantics/article