@article{PAR00007484,
  title = {{D}efining yield policies in a viability approach},
  author = {{C}hapel, {L}. and {D}effuant, {G}. and {M}artin, {S}. and {M}ullon, {C}hristian},
  editor = {},
  language = {{ENG}},
  abstract = {{M}ullon et al. [{M}ullon, {C}., {C}urry, {P}., {S}hannon, {L}., 2004. {V}iability model of trophic interactions in marine ecosystems. {N}at. {R}esour. {M}odel. 17 (1), 2758] proposed a dynamical model of biomass evolution in the {S}outhern {B}enguela ecosystem, including five different groups (detritus, phytoplankton, zooplankton, pelagic fish and demersal fish). {T}hey studied this model in a viability perspective, trying to assess, for a given constant yield, whether each species biomass remains inside a given interval, taking into account the uncertainty on the interaction coefficients. {I}nstead of studying the healthy states of this marine ecosystem with a constant yield, we focus here on the yield policies which keep the system viable. {U}sing the mathematical concept of viability kernel, we examine how yield management might guarantee viable fisheries. {O}ne of the main practical difficulties up to now with the viability theory was the lack of methods to solve the problem in large dimensions. {I}n this paper, we use a new method based on {SVM}s, which gives this theory a larger practical potential. {S}olving the viability problem provides all yield policies (if any) which guarantee a perennial system. {W}e illustrate our main findings with numerical simulations.},
  keywords = {{ECOSYSTEME} ; {MER} ; {PECHERIE} ; {MODELE} ; {BIOMASSE} ; {THEORIE} {DE} {LA} {VIABILITE} ; {MACHINE} {A} {VECTEURS} {DE} {SUPPORT} ; {VIABILITY} {THEORY} ; {MARINE} {ECOSYSTEM} ; {FISHERIES} {MANAGEMENT} ; {SUPPORT} {VECTOR} {MACHINES}},
  booktitle = {},
  journal = {{E}cological {M}odelling},
  volume = {212},
  numero = {1-2},
  pages = {10--15},
  year = {2008},
  DOI = {10.1016/j.ecolmodel.2007.10.007},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00007484},
}