@article{fdi:010070556,
  title = {{D}ynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources},
  author = {{A}ubin, {J}.{P}. and {C}hen, {L}. and {D}urand, {M}arie-{H}{\'e}l{\`e}ne},
  editor = {},
  language = {{ENG}},
  abstract = {{T}his study proposes a new framework to tackle the uncertainty that prevails in the exploitation of renewable resources. {I}t deals with the question of how to guarantee both a minimum multi-species harvest and the renewal of resources when their evolutions are uncertain. {T}he 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. {T}his study, formulated as a "tychastic" regulated system with viability constraints, departs from stochastic approaches generally used to deal with uncertain situations. {I}t 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. {T}o solve this problem involving global and local constraints a new method that decentralizes the constraints has been devised. {A}n example is presented whose numerical results are obtained thanks to a dedicated software using mathematical and algorithmic tools of viability theory.},
  keywords = {{GESTION} {DE} {L}'{ENVIRONNEMENT} ; {EXPLOITATION} {DES} {RESSOURCES} {NATURELLES} ; {DIVERSITE} {SPECIFIQUE} ; {MODELISATION} ; {ANALYSE} {MATHEMATIQUE} ; {INCERTITUDE} ; {VIABILITE}},
  booktitle = {},
  journal = {{C}omputational {M}anagement {S}cience},
  volume = {10},
  numero = {4},
  pages = {281--298},
  ISSN = {1619-697{X}},
  year = {2013},
  DOI = {10.1007/s10287-013-0192-4},
  URL = {https://www.documentation.ird.fr/hor/fdi:010070556},
}