title: Comparing the sustainability of different action policy possibilities: application to the issue of both household survival and forest preservation in the corridor of Fianarantsoa.
abstract: A sustainability issue for the rain forest in the corridor of Fianarantsoa (Madagascar) is to preserve the forest while ensuring the development of the local population. The aim of this paper is to determine whether the current situation is sustainable or not according to different action policy possibilities. We propose a general procedure based on viability analysis: Translation of sustainability issues into constraints on the system state; elaboration of a mathematical model of system evolution rules in the form of controlled dynamical system; computations of the viability kernels according to different action policy possibilities. Among control variables, we focus on monetary transfer. Without monetary transfer, we show that the current situation of the rain forest corridor is not sustainable in our mathematical modeling framework. We then estimate the minimal maximal amount per year necessary to make the current situation sustainable.
authors: Irstea, Laboratoire d'ingénierie des systèmes complexes, 9 avenue Blaise Pascal, CS 20085, 63178 Aubière, France; Université Blaise Pascal, Laboratoire de Mathématiques, UMR 6620, CNRS Campus des Cézeaux, B.P. 80026, 63171 Aubière cedex, France.
authors: C
authors: C
authors: Bernard
authors: S
authors: S
authors: Martin
mesh_terms: D019295:Computational Biology; D003247:Conservation of Natural Resources / Q000191:economics / Q000706:statistics & numerical data; D017753:Ecosystem; D005191:Family Characteristics; D006801:Humans; D008270:Madagascar; D055641:Mathematical Concepts; D008962:Models, Theoretical; D011640:Public Policy; D014197:Trees
keywords: Controlled dynamical systems; Deforestation; Sustainable development; Viability theory