Landscape-induced spatial oscillations in population dynamics

We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stati...

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Autores principales: Dornelas, Vivian, Colombo, Eduardo H., López, Cristóbal, Hernández-García, Emilio, Anteneodo, Celia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7876042/
https://www.ncbi.nlm.nih.gov/pubmed/33568726
http://dx.doi.org/10.1038/s41598-021-82344-8
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author Dornelas, Vivian
Colombo, Eduardo H.
López, Cristóbal
Hernández-García, Emilio
Anteneodo, Celia
author_facet Dornelas, Vivian
Colombo, Eduardo H.
López, Cristóbal
Hernández-García, Emilio
Anteneodo, Celia
author_sort Dornelas, Vivian
collection PubMed
description We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. Through the mapping between the features of the induced wrinkles and the shape of the interaction kernel, we discuss how heterogeneities can reveal information that would be hidden in a flat landscape.
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spelling pubmed-78760422021-02-11 Landscape-induced spatial oscillations in population dynamics Dornelas, Vivian Colombo, Eduardo H. López, Cristóbal Hernández-García, Emilio Anteneodo, Celia Sci Rep Article We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. Through the mapping between the features of the induced wrinkles and the shape of the interaction kernel, we discuss how heterogeneities can reveal information that would be hidden in a flat landscape. Nature Publishing Group UK 2021-02-10 /pmc/articles/PMC7876042/ /pubmed/33568726 http://dx.doi.org/10.1038/s41598-021-82344-8 Text en © The Author(s) 2021 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Dornelas, Vivian
Colombo, Eduardo H.
López, Cristóbal
Hernández-García, Emilio
Anteneodo, Celia
Landscape-induced spatial oscillations in population dynamics
title Landscape-induced spatial oscillations in population dynamics
title_full Landscape-induced spatial oscillations in population dynamics
title_fullStr Landscape-induced spatial oscillations in population dynamics
title_full_unstemmed Landscape-induced spatial oscillations in population dynamics
title_short Landscape-induced spatial oscillations in population dynamics
title_sort landscape-induced spatial oscillations in population dynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7876042/
https://www.ncbi.nlm.nih.gov/pubmed/33568726
http://dx.doi.org/10.1038/s41598-021-82344-8
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