Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters

A two-patch logistic metapopulation model is investigated both analytically and numerically focusing on the impact of dispersal on population dynamics. First, the dependence of the global dynamics on the stability type of the full extinction equilibrium point is tackled. Then, the behaviour of the t...

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Detalles Bibliográficos
Autores: Jorba-Cuscó, M., Oliva-Zúniga, R.I., Sardanyés, J., Pérez-Palau, D.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537579
Acceso en línea:http://hdl.handle.net/2072/537579
Access Level:acceso abierto
Palabra clave:Bifurcations
Dynamical systems
Metapopulations
Stochastic extinctions
Theoretical ecology
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spelling Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature mattersJorba-Cuscó, M.Oliva-Zúniga, R.I.Sardanyés, J.Pérez-Palau, D.BifurcationsDynamical systemsMetapopulationsStochastic extinctionsTheoretical ecologyA two-patch logistic metapopulation model is investigated both analytically and numerically focusing on the impact of dispersal on population dynamics. First, the dependence of the global dynamics on the stability type of the full extinction equilibrium point is tackled. Then, the behaviour of the total population with respect to the dispersal is studied analytically. Our findings demonstrate that diffusion plays a crucial role in the preservation of both subpopulations and the full metapopulation under the presence of stochastic perturbations. At low diffusion, the origin is a repulsor, causing the orbits to flow nearly parallel to the axes, risking stochastic extinctions. Higher diffusion turns the repeller into a saddle point. Orbits then quickly converge to the saddle’s unstable manifold, reducing extinction chances. This change in the vector field enhances metapopulation robustness. On the other hand, the well-known fact that asymmetric conditions on the patches is beneficial for the total population is further investigated. This phenomenon has been studied in previous works for large enough or small enough values of the dispersal. In this work, we complete the theory for all values of the dispersal. In particular, we derive analytically a formula for the optimal value of the dispersal that maximizes the total population. © The Author(s) 2024.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work has been supported by the Spanish State Research Agency (AEI) through Grants PGC2018-100928-B-I00 (DP), PGC2018-100699-B-I00 (MCIU/AEI/FEDER, UE) (MJC), and by Catalan Government Grant 2017 SGR 1374 (MJC). JS has been supported by the Ramón y Cajal Grant RYC-2017-22243 funded by MCIN/AEI/10.13039/501100011033 “FSE invests in your future”, and by the 2020-2021 Biodiversa+ and Water JPI joint call under the BiodivRestore ERA-NET Cofund (GA No 101003777) project MPA4Sustainability with funding organizations: Innovation Fund Denmark (IFD), Agence Nationale de la Recherche (ANR), Fundação para a Ciência e a Tecnologia (FCT), Swedish Environmental Protection Agency (SEPA), and grant PCI2022-132926 funded by MCIN/AEI/10.13039/501100011033 and by the European Union NextGenerationEU/PRTR. This work has been also funded through the Severo Ochoa and María de Maeztu Program for Centres and Units of Excellence in R &D (CEX2020-001084-M). We thank CERCA Programme/Generalitat de Catalunya for institutional support. DP has been supported by the Research Program 2021–2023 of Universidad Internacional de la Rioja. RO thanks to the Faculty for the Future program of the Schlumberger Foundation for the scholarship.Springer Science and Business Media Deutschland GmbH2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion17 p.application/pdfhttp://hdl.handle.net/2072/537579RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésTheory in BiosciencesL'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/5375792026-05-29T05:05:01Z
dc.title.none.fl_str_mv Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
title Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
spellingShingle Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
Jorba-Cuscó, M.
Bifurcations
Dynamical systems
Metapopulations
Stochastic extinctions
Theoretical ecology
title_short Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
title_full Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
title_fullStr Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
title_full_unstemmed Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
title_sort Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
dc.creator.none.fl_str_mv Jorba-Cuscó, M.
Oliva-Zúniga, R.I.
Sardanyés, J.
Pérez-Palau, D.
author Jorba-Cuscó, M.
author_facet Jorba-Cuscó, M.
Oliva-Zúniga, R.I.
Sardanyés, J.
Pérez-Palau, D.
author_role author
author2 Oliva-Zúniga, R.I.
Sardanyés, J.
Pérez-Palau, D.
author2_role author
author
author
dc.subject.none.fl_str_mv Bifurcations
Dynamical systems
Metapopulations
Stochastic extinctions
Theoretical ecology
topic Bifurcations
Dynamical systems
Metapopulations
Stochastic extinctions
Theoretical ecology
description A two-patch logistic metapopulation model is investigated both analytically and numerically focusing on the impact of dispersal on population dynamics. First, the dependence of the global dynamics on the stability type of the full extinction equilibrium point is tackled. Then, the behaviour of the total population with respect to the dispersal is studied analytically. Our findings demonstrate that diffusion plays a crucial role in the preservation of both subpopulations and the full metapopulation under the presence of stochastic perturbations. At low diffusion, the origin is a repulsor, causing the orbits to flow nearly parallel to the axes, risking stochastic extinctions. Higher diffusion turns the repeller into a saddle point. Orbits then quickly converge to the saddle’s unstable manifold, reducing extinction chances. This change in the vector field enhances metapopulation robustness. On the other hand, the well-known fact that asymmetric conditions on the patches is beneficial for the total population is further investigated. This phenomenon has been studied in previous works for large enough or small enough values of the dispersal. In this work, we complete the theory for all values of the dispersal. In particular, we derive analytically a formula for the optimal value of the dispersal that maximizes the total population. © The Author(s) 2024.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/537579
url http://hdl.handle.net/2072/537579
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Theory in Biosciences
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 17 p.
application/pdf
dc.publisher.none.fl_str_mv Springer Science and Business Media Deutschland GmbH
publisher.none.fl_str_mv Springer Science and Business Media Deutschland GmbH
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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