A matrix model for density-dependent selection in stage-classified populations, with application to pesticide resistance in Tribolium

Charlotte de Vries, Robert A. Desharnais and Hal Caswell

Ecological Modelling, 2020, vol. 416, issue C

Abstract: The study of eco-evolutionary dynamics is based on the idea that ecological and evolutionary processes may operate on the same, or very similar, time scales, and that interactions of ecological and evolutionary processes may have important consequences. Here we develop a model that combines Mendelian population genetics with nonlinear demography to create a truly eco-evolutionary model. We use the vec-permutation matrix approach, classifying individuals by stage and genotype. The demographic component is female dominant and density-dependent. The genetic component includes random mating by stage and genotype, and arbitrary effects of genotype on the demographic phenotype. Mutation is neglected. The result is a nonlinear matrix population model that projects the stage × genotype distribution. We show that the results can include bifurcations of population dynamics driven by the response to selection. We present analytical criteria that determine whether one allele excludes the other or if they persist in a protected polymorphism. The results are based on local stability analysis of the homozygous boundary equilibria.

Keywords: Eco-evolutionary dynamics; Evolutionary demography; Density-dependent selection; Protected polymorphism; Pesticide resistance; Stability analysis (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:416:y:2020:i:c:s0304380019303837

DOI: 10.1016/j.ecolmodel.2019.108875

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