Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources

Jean-Pierre Aubin, Luxi Chen and Marie-Hélène Durand ()

Computational Management Science, 2013, vol. 10, issue 4, 298 pages

Abstract: 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. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Uncertainty; Natural resource management; Decentralizing constraints; Dynamic regulation; Viability; Tychastic uncertainty (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10287-013-0192-4

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