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An impulsive modelling framework of fire occurrence in a size-structured model of tree–grass interactions for savanna ecosystems

Yatat Valaire, Couteron Pierre, Tewa Jean Jules, Bowong Samuel, Dumont Yves. 2017. An impulsive modelling framework of fire occurrence in a size-structured model of tree–grass interactions for savanna ecosystems. Journal of Mathematical Biology, 74 (6) : pp. 1425-1482.

Journal article ; Article de revue à facteur d'impact
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Quartile : Q2, Sujet : BIOLOGY / Quartile : Q2, Sujet : MATHEMATICAL & COMPUTATIONAL BIOLOGY

Liste HCERES des revues (en SHS) : oui

Thème(s) HCERES des revues (en SHS) : Psychologie-éthologie-ergonomie

Abstract : Fires and mean annual rainfall are major factors that regulate woody and grassy biomasses in savanna ecosystems. Within the savanna biome, conditions of long-lasting coexistence of trees and grasses have been often studied using continuous-time modelling of tree–grass competition. In these studies, fire is a time-continuous forcing while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this paper, we propose a new mathematical framework to model tree–grass interactions that takes into account both the impulsive nature of fire occurrence and size-dependent fire sensitivity (via two classes of woody plants). We carry out a qualitative analysis that highlights ecological thresholds and bifurcation parameters that shape the dynamics of the savanna-like systems within the main ecological zones. Through a qualitative analysis, we show that the impulsive modelling of fire occurrences leads to more diverse behaviors including cases of grassland, savanna and forest tristability and a more realistic array of solutions than the analogous time-continuous fire models. Numerical simulations are carried out with respect to the three main ecological contexts (moist, mesic, semi-arid) to illustrate the theoretical results and to support a discussion about the bifurcation parameters and the advantages of the model. (Résumé d'auteur)

Mots-clés Agrovoc : Forêt, Arbre forestier, Savane, Écosystème, Écosystème forestier, Incendie de forêt, Incendie spontané, Écologie, Méthode statistique, Analyse quantitative, Modèle mathématique, Pâturages, Compétition végétale, Classification

Mots-clés géographiques Agrovoc : Afrique

Mots-clés libres : Savanna, Fire, Asymmetric competition, Impulsive differential equation, Qualitative analysis, Nonstandard finite difference scheme

Classification Agris : F40 - Plant ecology
K01 - Forestry - General aspects
U10 - Computer science, mathematics and statistics

Champ stratégique Cirad : Axe 6 (2014-2018) - Sociétés, natures et territoires

Auteurs et affiliations

  • Yatat Valaire, Université de Yaoundé 1 (CMR)
  • Couteron Pierre, IRD (FRA)
  • Tewa Jean Jules, Université de Yaoundé (CMR)
  • Bowong Samuel, Université de Yaoundé (CMR)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X

Source : Cirad-Agritrop (https://agritrop.cirad.fr/582331/)

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