Evolution of a trait distributed over a large fragmented population: propagation of chaos meets adaptive dynamics.

Amaury Lambert, Hélène Leman, Hélène Morlon, Josué Tchouanti

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In one paragraph

Article in Journal of mathematical biology, 2026. 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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0citing papers in PubMed

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1 · What the graph read from it

What it found

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2 · The registry

The trial behind it

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3 · Its place in the literature

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0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

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5 · Who and what money

Authors and funding

4 authors.

Amaury LambertInstitut de Biologie de l'ENS (IBENS), École Normale Supérieure (ENS), CNRS UMR 8197, INSERM U1024, PSL University, Paris, France.

Hélène LemanCASTING, Inria, Inserm, ENS de Lyon, Centre Léon Bérard, CNRS, UCBL1, Lyon, France.

Hélène MorlonInstitut de Biologie de l'ENS (IBENS), École Normale Supérieure (ENS), CNRS UMR 8197, INSERM U1024, PSL University, Paris, France.

Josué TchouantiInstitut de Mathématiques de Toulouse, CNRS UMR 5219, Université de Toulouse, 31062, Toulouse Cedex 9, France. josue.tchouanti_fotso@math.univ-toulouse.fr.ORCID http://orcid.org/0000-0001-9982-1244

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We consider a metapopulation made up of K demes, each containing N individuals bearing a heritable quantitative trait. Demes are connected by migration and undergo independent Moran processes with mutation and selection based on trait values. Mutation and migration rates are tuned so that each deme receives a migrant or a mutant in the same slow timescale and is thus essentially monomorphic at all times for the trait value (adaptive dynamics). In the timescale of mutation/migration, the metapopulation can then be seen as a giant spatial Moran model with size K that we characterize. As

Indexed as

Biological EvolutionModels, GeneticQuantitative Trait, HeritableAnimal MigrationAnimalsComputer SimulationGenetics, PopulationMathematical ConceptsModels, BiologicalMutationNonlinear DynamicsPopulation DynamicsSelection, GeneticAdaptive dynamicsCanonical equationDiffusion with jumpsEcologyMacroevolutionMetapopulationMigrationMoran modelPropagation of chaosTrait substitution sequence

Identifiers

PMID41995881

DOI10.1007/s00285-026-02371-9

PMCPMC13090215

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.