CIRM - Videos & books Library - Coevolution of habitat use in stochastic environments

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Authors : Schreiber, Sebastian J. (Author of the conference)
CIRM (Publisher )

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Abstract : Species live and interact in landscapes where enviornmental conditions vary both in time and space. In the face of this spatial-temporal heterogeneity, species may co-evolve their habitat choices which determine their spatial distributions. To understand this coevolution, I present an analysis of a general class of stochastic Lotka-Volterra models that account for space implicitly. For these equations, a (stochastic) coevolutionarily stable strategy (coESS) is a set of habitat choice strategies for each species that, with high probability, resists invasion attempts from mutant subpopulations utilizing other habitat choice strategies. We show that the coESS is characterized by a system of second-order equations. This characterization implies that the stochastic per-capita growth rates are negative in all occupied patches for all species despite all of the species coexisting. Applying this characterization to the coevolution of habitat-choice of competitors and predator-prey systems identifies under what environmental conditions, natural selection excorcises "the ghost of competition past'' and generates enemy-free and victimless habitats. Collectively, these results highlight the importance of temporal fluctuations, spatial heterogeneity and species interactions on the evolution of species spatial distributions.

Keywords : Stochastic Lotka-Volterra dynamics; evolutionary stable strategies; habitat selection; environmental stochasticity

MSC Codes :
37H10 - Generation - Random and stochastic difference and differential equations
92D25 - Population dynamics (general)

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https://www.cirm-math.fr/RepOrga/2302/Slides/Schreiber_CIRM_Week2_2020.pdf

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Recanzone, Luca

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https://videos.cirm-math.fr/2020-02-13_Schreiber.mp4

Information on the Event

Event Title : Thematic Month Week 2: Mathematical Models in Evolutionary Biology / Mois thématique Semaine 2 : Modèles mathématiques en biologie de l'évolution
Event Organizers : Champagnat, Nicolas ; Coville, Jérôme ; Gomulkiewicz, Richard ; Hamel, Francois ; Roques, Lionel
Dates : 10/02/2020 - 14/02/2020
Event Year : 2020
Event URL : https://conferences.cirm-math.fr/2302.html

Citation Data

DOI : 10.24350/CIRM.V.19606803
Cite this video as: Schreiber, Sebastian J. (2020). Coevolution of habitat use in stochastic environments. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19606803
URI : http://dx.doi.org/10.24350/CIRM.V.19606803

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