Dynamics of sexual populations structured by a space variable and a phenotypical trait
KAUST Grant NumberKUK-I1-007-43
MetadataShow full item record
AbstractWe study sexual populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. Departing from an infinitesimal model, we perform an asymptotic limit to derive the system introduced in Kirkpatrick and Barton (1997). We then perform a further simplification to obtain a simple model. Thanks to this simpler equation, we can describe rigorously the dynamics of the population. In particular, we provide an explicit estimate of the invasion speed, or extinction speed of the species. Numerical computations show that this simple model provides a good approximation of the original infinitesimal model, and in particular describes quite well the evolution of the species' range. © 2013 Elsevier Inc.
CitationMirrahimi S, Raoul G (2013) Dynamics of sexual populations structured by a space variable and a phenotypical trait. Theoretical Population Biology 84: 87–103. Available: http://dx.doi.org/10.1016/j.tpb.2012.12.003.
SponsorsSM benefits from a 2 year "Fondation Mathematique Jacques Hadamard" (FMJH) postdoc scholarship. She would like to thank Ecole Polytechnique for its hospitality. GR has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST). The authors would like to thank Laurent Desvillettes for introducing the problem to them. The authors are ordered alphabetically.
JournalTheoretical Population Biology
CollectionsPublications Acknowledging KAUST Support
- Interspecific Competition, Environmental Gradients, Gene Flow, and the Coevolution of Species' Borders.
- Authors: Case TJ, Taper ML
- Issue date: 2000 May
- Evolutionary speed of species invasions.
- Authors: García-Ramos G, Rodríguez D
- Issue date: 2002 Apr
- Evolution of phenotypic clusters through competition and local adaptation along an environmental gradient.
- Authors: Leimar O, Doebeli M, Dieckmann U
- Issue date: 2008 Apr
- Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models.
- Authors: Champagnat N, Ferrière R, Méléard S
- Issue date: 2006 May
- Comparing the effects of rapid evolution and phenotypic plasticity on predator-prey dynamics.
- Authors: Yamamichi M, Yoshida T, Sasaki A
- Issue date: 2011 Sep