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Pattern Formation in Mesic Savannas
We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations. Homogeneous solutions dominate the dynamics of the standard fores...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10682166/ https://www.ncbi.nlm.nih.gov/pubmed/38010440 http://dx.doi.org/10.1007/s11538-023-01231-7 |
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author | Patterson, Denis Levin, Simon Staver, Ann Carla Touboul, Jonathan |
author_facet | Patterson, Denis Levin, Simon Staver, Ann Carla Touboul, Jonathan |
author_sort | Patterson, Denis |
collection | PubMed |
description | We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations. Homogeneous solutions dominate the dynamics of the standard forest-savanna model, regardless of the length scales of the various spatial processes considered. However, several different pattern-forming scenarios are possible upon including spatial resource limitation, such as competition for water, soil nutrients, or herbivory effects. Using numerical simulations and continuation, we study the nature of the resulting patterns as a function of system parameters and length scales, uncovering subcritical pattern-forming bifurcations and observing significant regions of multistability for realistic parameter regimes. Finally, we discuss our results in the context of extant savanna-forest modeling efforts and highlight ongoing challenges in building a unifying mathematical model for savannas across different rainfall levels. |
format | Online Article Text |
id | pubmed-10682166 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-106821662023-11-30 Pattern Formation in Mesic Savannas Patterson, Denis Levin, Simon Staver, Ann Carla Touboul, Jonathan Bull Math Biol Original Article We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations. Homogeneous solutions dominate the dynamics of the standard forest-savanna model, regardless of the length scales of the various spatial processes considered. However, several different pattern-forming scenarios are possible upon including spatial resource limitation, such as competition for water, soil nutrients, or herbivory effects. Using numerical simulations and continuation, we study the nature of the resulting patterns as a function of system parameters and length scales, uncovering subcritical pattern-forming bifurcations and observing significant regions of multistability for realistic parameter regimes. Finally, we discuss our results in the context of extant savanna-forest modeling efforts and highlight ongoing challenges in building a unifying mathematical model for savannas across different rainfall levels. Springer US 2023-11-27 2024 /pmc/articles/PMC10682166/ /pubmed/38010440 http://dx.doi.org/10.1007/s11538-023-01231-7 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This 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/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Original Article Patterson, Denis Levin, Simon Staver, Ann Carla Touboul, Jonathan Pattern Formation in Mesic Savannas |
title | Pattern Formation in Mesic Savannas |
title_full | Pattern Formation in Mesic Savannas |
title_fullStr | Pattern Formation in Mesic Savannas |
title_full_unstemmed | Pattern Formation in Mesic Savannas |
title_short | Pattern Formation in Mesic Savannas |
title_sort | pattern formation in mesic savannas |
topic | Original Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10682166/ https://www.ncbi.nlm.nih.gov/pubmed/38010440 http://dx.doi.org/10.1007/s11538-023-01231-7 |
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