%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture non répertoriées par l'AERES
%A Aubin, J.P.
%A Chen, L.
%A Durand, Marie-Hélène
%T Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources
%D 2013
%L fdi:010070556
%G ENG
%J Computational Management Science
%@ 1619-697X
%K GESTION DE L'ENVIRONNEMENT ; EXPLOITATION DES RESSOURCES NATURELLES ; DIVERSITE SPECIFIQUE ; MODELISATION ; ANALYSE MATHEMATIQUE
%K INCERTITUDE ; VIABILITE
%N 4
%P 281-298
%R 10.1007/s10287-013-0192-4
%U https://www.documentation.ird.fr/hor/fdi:010070556
%> https://www.documentation.ird.fr/intranet/publi/depot/2017-09-12/010070556.pdf
%V 10
%W Horizon (IRD)
%X 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.
%$ 082ECOSYS ; 020MATH01