Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework
Long term tree–grass dynamics is an important issue in many places around the world. Especially, if we intend to take into account environmental and human perturbations, like fire events, herbivory, etc. In this paper, we complete and extend temporal models developed in recent papers by Yatat et al. (2014, 2017) and Tchuinte Tamen et al. (2014), using diffusion operators, into spatio-temporal models, in order to study the long term dynamics of a mosaic of forest and grassland in a humid context of Central Africa. We take into account local biomass diffusion, as well as local tree–grass competition for nutrients and light. For this model, we carry out a qualitative analysis that highlights some ecological thresholds shaping the dynamics of the system. In addition, we show that monostable and bistable travelling wave solutions may exist. We illustrate some of our theoretical results with numerical simulations, and, also explore the use of impulsive fires on the dynamics of a mosaic of forest and grassland in a humid savanna. We found that depending on fire-return time as well as difference in diffusion potential of woody and herbaceous vegetation, fire events are able to greatly slow down or even stop the progression of forest in humid regions.
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dig-cirad-fr-5855662024-01-29T00:32:36Z http://agritrop.cirad.fr/585566/ http://agritrop.cirad.fr/585566/ Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework. Yatat Valaire, Couteron Pierre, Dumont Yves. 2018. Ecological Complexity, 36 : 290-313.https://doi.org/10.1016/j.ecocom.2017.06.004 <https://doi.org/10.1016/j.ecocom.2017.06.004> Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework Yatat, Valaire Couteron, Pierre Dumont, Yves eng 2018 Ecological Complexity K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 Afrique centrale http://aims.fao.org/aos/agrovoc/c_1432 Long term tree–grass dynamics is an important issue in many places around the world. Especially, if we intend to take into account environmental and human perturbations, like fire events, herbivory, etc. In this paper, we complete and extend temporal models developed in recent papers by Yatat et al. (2014, 2017) and Tchuinte Tamen et al. (2014), using diffusion operators, into spatio-temporal models, in order to study the long term dynamics of a mosaic of forest and grassland in a humid context of Central Africa. We take into account local biomass diffusion, as well as local tree–grass competition for nutrients and light. For this model, we carry out a qualitative analysis that highlights some ecological thresholds shaping the dynamics of the system. In addition, we show that monostable and bistable travelling wave solutions may exist. We illustrate some of our theoretical results with numerical simulations, and, also explore the use of impulsive fires on the dynamics of a mosaic of forest and grassland in a humid savanna. We found that depending on fire-return time as well as difference in diffusion potential of woody and herbaceous vegetation, fire events are able to greatly slow down or even stop the progression of forest in humid regions. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/585566/7/585566.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.ecocom.2017.06.004 10.1016/j.ecocom.2017.06.004 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecocom.2017.06.004 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.ecocom.2017.06.004 |
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K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1432 K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1432 |
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K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1432 K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1432 Yatat, Valaire Couteron, Pierre Dumont, Yves Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
description |
Long term tree–grass dynamics is an important issue in many places around the world. Especially, if we intend to take into account environmental and human perturbations, like fire events, herbivory, etc. In this paper, we complete and extend temporal models developed in recent papers by Yatat et al. (2014, 2017) and Tchuinte Tamen et al. (2014), using diffusion operators, into spatio-temporal models, in order to study the long term dynamics of a mosaic of forest and grassland in a humid context of Central Africa. We take into account local biomass diffusion, as well as local tree–grass competition for nutrients and light. For this model, we carry out a qualitative analysis that highlights some ecological thresholds shaping the dynamics of the system. In addition, we show that monostable and bistable travelling wave solutions may exist. We illustrate some of our theoretical results with numerical simulations, and, also explore the use of impulsive fires on the dynamics of a mosaic of forest and grassland in a humid savanna. We found that depending on fire-return time as well as difference in diffusion potential of woody and herbaceous vegetation, fire events are able to greatly slow down or even stop the progression of forest in humid regions. |
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article |
topic_facet |
K01 - Foresterie - Considérations générales P01 - Conservation de la nature et ressources foncières F40 - Écologie végétale K70 - Dégâts causés aux forêts et leur protection U10 - Informatique, mathématiques et statistiques savane zone humide forêt forêt tropicale humide plante herbacée compétition biologique écosystème forestier écosystème dynamique des populations incendie spontané méthode statistique modèle de simulation http://aims.fao.org/aos/agrovoc/c_6825 http://aims.fao.org/aos/agrovoc/c_3688 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_27977 http://aims.fao.org/aos/agrovoc/c_917 http://aims.fao.org/aos/agrovoc/c_1374842133961 http://aims.fao.org/aos/agrovoc/c_2482 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_34150 http://aims.fao.org/aos/agrovoc/c_7377 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1432 |
author |
Yatat, Valaire Couteron, Pierre Dumont, Yves |
author_facet |
Yatat, Valaire Couteron, Pierre Dumont, Yves |
author_sort |
Yatat, Valaire |
title |
Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
title_short |
Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
title_full |
Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
title_fullStr |
Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
title_full_unstemmed |
Spatially explicit modelling of tree-grass interactions in fire-prone savannas: A partial differential equations framework |
title_sort |
spatially explicit modelling of tree-grass interactions in fire-prone savannas: a partial differential equations framework |
url |
http://agritrop.cirad.fr/585566/ http://agritrop.cirad.fr/585566/7/585566.pdf |
work_keys_str_mv |
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1792499349640445952 |