A tribute to the use of minimalistic spatially-implicit models of savanna vegetation dynamics to address broad spatial scales in spite of scarce data

Authors

  • Valaire Djeumen Yatat National Advanced School of Engineering, University of YaoundГ© I, Cameroon http://orcid.org/0000-0001-5663-8079
  • Alexis Tchuinté IRD, Regional representation in YaoundГ©, YaoundГ©, Cameroon
  • Yves Dumont CIRAD, Umr AMAP, Pretoria, South Africa
  • Pierre Couteron AMAP, IRD, Cirad, CNRS, INRA, UniversitГ© de Montpellier, Montpellier

DOI:

https://doi.org/10.11145/j.biomath.2018.12.167

Keywords:

Biogeography, Rainfall, Fires, Ordinary differential equations, Impulsive differential equation, Tree-Grass interactions, Multi-stability

Abstract

The savanna biome encompasses a variety of vegetation physiognomies that traduce complex dynamical responses of plants to the rainfall gradients leading from tropical forests to hot deserts. Such responses are shaped by interactions between woody and grassy plants that can be either direct, disturbance-mediated or both. There has been increasing evidence that several vegetation physiognomies, sometimes highly contrasted, may durably coexist under similar rainfall conditions suggesting multi-stability or at least not abrupt transitions. These fascinating questions have triggered burgeoning modelling efforts which have, however, not yet delivered an integrated picture liable to furnish sensible predictions of potential vegetation at broad scales. In this paper, we will recall the key ecological processes and resulting vegetation dynamics that models should take into account. We will also present the main modelling options present in the literature and advocate the use of minimalistic models, capturing only the essentialВ processes while retaining sufficient mathematical tractability and restricting themselves to a minimal set of parameters assessable from the overall literature.

Author Biography

Valaire Djeumen Yatat, National Advanced School of Engineering, University of YaoundГ© I, Cameroon

PhD, department of mathematics and physics

Downloads

Published

2018-12-20

Issue

Section

Original Articles