Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources
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
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Volume (Year): 10 (2013)
Issue (Month): 4 (December)
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- Baldursson, Fridrik Mar & Magnusson, Gudmundar, 1997. " Portfolio Fishing," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(3), pages 389-403, September.
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- Stuart J. Allen & Edmund W. Schuster, 2004. "Controlling the Risk for an Agricultural Harvest," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 225-236, July.
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