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

作者: Jean-Pierre Aubin , Luxi Chen , Marie-Hélène Durand

DOI: 10.1007/S10287-013-0192-4

关键词: EconomicsSoftwareNatural resource managementDecentralizationConstraint (mathematics)Viability theoryMeasure (mathematics)Renewable resourceMathematical optimizationResource (project management)

摘要: This study proposes a new framework to tackle the uncertainty that prevails in exploitation of renewable resources. It deals with question how guarantee both minimum multi-species harvest and renewal resources when their evolutions are uncertain. The problem is twofold: decentralize global constraint (on harvest) into local constraints different species) and, then, use “tychastic” approach necessitating only forecasts lowers bounds resource growth rates. study, formulated as regulated system viability constraints, departs from stochastic approaches generally used deal uncertain situations. provides time dependent harvesting rule allowing always comply objective replenishment thresholds whatever happens tychastic measure risk terms initially required. To solve this involving method decentralizes has been devised. An example presented whose numerical results obtained thanks dedicated software using mathematical algorithmic tools theory.

参考文章(28)
Jean-Pierre Aubin, Giuseppe Da Prato, Hélène Frankowska, Stochastic Invariance for Differential Inclusions Set-valued Analysis. ,vol. 8, pp. 181- 201 ,(2000) , 10.1023/A:1008738928302
Alexandre Bayen, Patrick Saint-Pierre, Jean-Pierre Aubin, Viability Theory : New Directions ,(2011)
L Richard Little, John Parslow, Gavin Fay, R Quentin Grafton, Anthony DM Smith, André E Punt, Geoffrey N Tuck, None, Environmental Derivatives, Risk Analysis, and Conservation Management Conservation Letters. ,vol. 7, pp. 196- 207 ,(2014) , 10.1111/CONL.12041
Pierre Cardaliaguet, Marc Quincampoix, Patrick Saint-Pierre, Set-Valued Numerical Analysis for Optimal Control and Differential Games Stochastic and Differential Games. pp. 177- 247 ,(1999) , 10.1007/978-1-4612-1592-9_4
Jean‐Pierre Aubin, Halim Doss, Characterization of Stochastic Viability of Any Nonsmooth Set Involving Its Generalized Contingent Curvature Stochastic Analysis and Applications. ,vol. 21, pp. 955- 981 ,(2003) , 10.1081/SAP-120024699
J.P. Aubin, G. DA Prato, Stochastic nagumo's viability theorem Stochastic Analysis and Applications. ,vol. 13, pp. 1- 11 ,(1995) , 10.1080/07362999508809379
G. Da Prato, H. Frankowska, A stochastic filippov theorem Stochastic Analysis and Applications. ,vol. 12, pp. 409- 426 ,(1994) , 10.1080/07362999408809361
Patrick Saint-Pierre, Approximation of the viability kernel Applied Mathematics and Optimization. ,vol. 29, pp. 187- 209 ,(1994) , 10.1007/BF01204182