FULLTEXT01.Pdf
Journal of Theoretical Biology 507 (2020) 110449 Contents lists available at ScienceDirect Journal of Theoretical Biology journal homepage: www.elsevier.com/locate/yjtbi The components of directional and disruptive selection in heterogeneous group-structured populations ⇑ Hisashi Ohtsuki a, , Claus Rueffler b, Joe Yuichiro Wakano c,d,e, Kalle Parvinen f,g, Laurent Lehmann h a Department of Evolutionary Studies of Biosystems, School of Advanced Sciences, SOKENDAI (The Graduate University for Advanced Studies), Shonan Village, Hayama, Kanagawa 240-0193, Japan b Animal Ecology, Department of Ecology and Genetics, University of Uppsala, Sweden c School of Interdisciplinary Mathematical Sciences, Meiji University, Tokyo 164-8525, Japan d Meiji Institute for Advanced Study of Mathematical Sciences, Tokyo 164-8525, Japan e Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, B.C. V6T 1Z2, Canada f Department of Mathematics and Statistics, FI-20014 University of Turku, Finland g Evolution and Ecology Program, International Institute for Applied Systems Analysis (IIASA), A-2361 Laxenburg, Austria h Department of Ecology and Evolution, University of Lausanne, Switzerland article info abstract Article history: We derive how directional and disruptive selection operate on scalar traits in a heterogeneous group- Received 31 March 2020 structured population for a general class of models. In particular, we assume that each group in the Revised 5 August 2020 population can be in one of a finite number of states, where states can affect group size and/or other envi- Accepted 7 August 2020 ronmental variables, at a given time. Using up to second-order perturbation expansions of the invasion Available online 16 August 2020 fitness of a mutant allele, we derive expressions for the directional and disruptive selection coefficients, which are sufficient to classify the singular strategies of adaptive dynamics.
[Show full text]