Analysis of diversity-dependent species evolution using concepts in population genetics.

Ingemar Kaj, Sylvain Glémin, Daniah Tahir, Martin Lascoux

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Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

4 authors.

Ingemar KajDepartment of Mathematics, Uppsala University, Box 480, Uppsala, 751 06, Sweden. ikaj@math.uu.se.ORCID 0000-0002-7672-190X

Sylvain GléminCNRS, Université Rennes 1, ECOBIO (écosystèmes, biodiversité, évolution) - UMR 6553, Avenue du général Leclerc, 35042, Rennes, France.

Daniah TahirDepartment of Mathematics, Uppsala University, Box 480, Uppsala, 751 06, Sweden.

Martin LascouxProgram in Plant Ecology and Evolution, Department of Ecology and Genetics, EBC, Uppsala University, Norbyvägen 18D, Uppsala, 752 36, Sweden.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this work, we consider a two-type species model with trait-dependent speciation, extinction and transition rates under an evolutionary time scale. The scaling approach and the diffusion approximation techniques which are widely used in mathematical population genetics provide modeling tools and conceptual background to assist in the study of species dynamics, and help exploring the analogy between trait-dependent species diversification and the evolution of allele frequencies in the population genetics setting. The analytical framework specified is then applied to models incorporating diversity-dependence, in order to infer effective results from processes in which the net diversification of species depends on the total number of species. In particular, the long term fate of a rare trait may be analyzed under a partly symmetric scenario, using a time-change transform technique.

Indexed as

Genetics, PopulationModels, GeneticBiological EvolutionGene FrequencyGenetic VariationPhenotypeCarrying capacity modelScaling limit processTrait fixation probabilityTwo-type branchingWright–Fisher diffusion

Identifiers

PMID33634353

DOI10.1007/s00285-021-01559-5

PMCPMC7907050

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