A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model
We propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly deal with the indirect feedback of dry grass...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2014-08-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/214 |
| _version_ | 1797714725642960896 |
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| author | Alexis Tamen Tchuinte Jean-Jules Tewa Pierre Couteron Samuel Bowong Yves Dumont |
| author_facet | Alexis Tamen Tchuinte Jean-Jules Tewa Pierre Couteron Samuel Bowong Yves Dumont |
| author_sort | Alexis Tamen Tchuinte |
| collection | DOAJ |
| description | We propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly deal with the indirect feedback of dry grass biomass onto tree dynamics through fire intensity and frequency. The novelty in our work is to consider a fairly generic modeling of fire impact on woody biomass by means of a family of increasing and bounded functions of grass biomass. The characteristic feature of this family of functions is that, it could include several forms: linear as well as non-linear ones (sigmoidal or not). Since the nonlinear shape brings more diverse results than the previous attempts using a linear function, it could be used to show that several vegetation equilibria exist with some of them showing tree-grass coexistence features.We show that the number of equilibria with both grass and trees depends on the choice of the fire impact function. We also established thresholds defining the stability domains of the equilibria and highlighted some bifurcation parameters to provide numerical simulations complying with the theoretical properties of the model. |
| first_indexed | 2024-03-12T07:56:12Z |
| format | Article |
| id | doaj.art-c0fa2b5ba4b048dca91fc66e0da59e47 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T07:56:12Z |
| publishDate | 2014-08-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-c0fa2b5ba4b048dca91fc66e0da59e472023-09-02T20:12:11ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182014-08-013210.11145/214246A Generic Modelling of Fire Impact in a Tree-Grass Savanna ModelAlexis Tamen Tchuinte0Jean-Jules Tewa1Pierre Couteron2Samuel Bowong3Yves Dumont4University of Yaounde IUniversity of Yaounde IIRD, UMR-AMAP, MontpellierUniversity of DoualaCIRAD, UMR-AMAP, MontpellierWe propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly deal with the indirect feedback of dry grass biomass onto tree dynamics through fire intensity and frequency. The novelty in our work is to consider a fairly generic modeling of fire impact on woody biomass by means of a family of increasing and bounded functions of grass biomass. The characteristic feature of this family of functions is that, it could include several forms: linear as well as non-linear ones (sigmoidal or not). Since the nonlinear shape brings more diverse results than the previous attempts using a linear function, it could be used to show that several vegetation equilibria exist with some of them showing tree-grass coexistence features.We show that the number of equilibria with both grass and trees depends on the choice of the fire impact function. We also established thresholds defining the stability domains of the equilibria and highlighted some bifurcation parameters to provide numerical simulations complying with the theoretical properties of the model.http://www.biomathforum.org/biomath/index.php/biomath/article/view/214Savanna ModelingTree-Grass interactionsStabilityNonstandard Finite Difference MethodBifurcation. |
| spellingShingle | Alexis Tamen Tchuinte Jean-Jules Tewa Pierre Couteron Samuel Bowong Yves Dumont A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model Biomath Savanna Modeling Tree-Grass interactions Stability Nonstandard Finite Difference Method Bifurcation. |
| title | A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model |
| title_full | A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model |
| title_fullStr | A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model |
| title_full_unstemmed | A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model |
| title_short | A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model |
| title_sort | generic modelling of fire impact in a tree grass savanna model |
| topic | Savanna Modeling Tree-Grass interactions Stability Nonstandard Finite Difference Method Bifurcation. |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/214 |
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