Integrodifference models for evolutionary processes in biological invasions

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversity of Ottawa-
Autor(es): dc.creatorPoloni, Silas-
Autor(es): dc.creatorLutscher, Frithjof-
Data de aceite: dc.date.accessioned2025-08-21T23:29:34Z-
Data de disponibilização: dc.date.available2025-08-21T23:29:34Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-07-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s00285-023-01947-z-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/301533-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/301533-
Descrição: dc.descriptionIndividual variability in dispersal and reproduction abilities can lead to evolutionary processes that may have significant effects on the speed and shape of biological invasions. Spatial sorting, an evolutionary process through which individuals with the highest dispersal ability tend to agglomerate at the leading edge of an invasion front, and spatial selection, spatially heterogeneous forces of selection, are among the fundamental evolutionary forces that can change range expansions. Most mathematical models for these processes are based on reaction-diffusion equations, i.e., time is continuous and dispersal is Gaussian. We develop novel theory for how evolution shapes biological invasions with integrodifference equations, i.e., time is discrete and dispersal can follow a variety of kernels. Our model tracks how the distribution of growth rates and dispersal ability in the population changes from one generation to the next in continuous space. We include mutation between types and a potential trade-off between dispersal ability and growth rate. We perform the analysis of such models in continuous and discrete trait spaces, i.e., we determine the existence of travelling wave solutions, asymptotic spreading speeds and their linear determinacy, as well as the population distributions at the leading edge. We also establish the relation between asymptotic spreading speeds and mutation probabilities. We observe conditions for when spatial sorting emerges and when it does not and also explore conditions where anomalous spreading speeds occur, as well as possible effects of deleterious mutations in the population.-
Descrição: dc.descriptionCanadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada-
Descrição: dc.descriptionNatural Sciences and Engineering Research Council of Canada-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionInstitute of Theoretical Physics São Paulo State University, SP-
Descrição: dc.descriptionDepartment of Mathematics and Statistics University of Ottawa-
Descrição: dc.descriptionDepartment of Biology University of Ottawa-
Descrição: dc.descriptionInstitute of Theoretical Physics São Paulo State University, SP-
Descrição: dc.descriptionCanadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada: 2018/24037-
Descrição: dc.descriptionNatural Sciences and Engineering Research Council of Canada: 2018/24037-
Descrição: dc.descriptionFAPESP: 2020/15320-4-
Descrição: dc.descriptionCanadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada: RGPIN-2016-0495-
Descrição: dc.descriptionNatural Sciences and Engineering Research Council of Canada: RGPIN-2016-0495-
Idioma: dc.languageen-
Relação: dc.relationJournal of Mathematical Biology-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDispersal evolution-
Palavras-chave: dc.subjectDispersal-reproduction trade-off-
Palavras-chave: dc.subjectSpatial sorting-
Palavras-chave: dc.subjectSpatial spread-
Palavras-chave: dc.subjectTrait-structured populations-
Título: dc.titleIntegrodifference models for evolutionary processes in biological invasions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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