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

Multi angle

Auteurs : Schreiber, Sebastian J. (Auteur de la conférence)
CIRM (Editeur )

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Résumé : 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.

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

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

Ressources complémentaires :
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

Informations sur la Rencontre

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

Données de citation

DOI : 10.24350/CIRM.V.19606803
Citer cette vidéo: 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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Bibliographie

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