Aubin J.P., Chen L., Durand Marie-Hélène. (2013). Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources. Computational Management Science, 10 (4), p. 281-298. ISSN 1619-697X.
Titre du document
Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources
Année de publication
2013
Type de document
Article
Auteurs
Aubin J.P., Chen L., Durand Marie-Hélène
Source
Computational Management Science, 2013,
10 (4), p. 281-298 ISSN 1619-697X
This study proposes a new framework to tackle the uncertainty that prevails in the exploitation of renewable resources. It deals with the question of how to guarantee both a minimum multi-species harvest and the renewal of resources when their evolutions are uncertain. The problem is twofold: to decentralize a global constraint (on a multi-species harvest) into local constraints (on the resources of the different species) and, then, to use a "tychastic" approach necessitating only the forecasts of the lowers bounds of the resource growth rates. This study, formulated as a "tychastic" regulated system with viability constraints, departs from stochastic approaches generally used to deal with uncertain situations. It provides the time dependent harvesting rule allowing to always comply with a minimum harvest objective and resources replenishment thresholds whatever happens and a tychastic measure of risk viability in terms of minimum resources initially required. To solve this problem involving global and local constraints a new method that decentralizes the constraints has been devised. An example is presented whose numerical results are obtained thanks to a dedicated software using mathematical and algorithmic tools of viability theory.
