@article{fdi:010062476,
  title = {{E}ffect of small versus large clusters of fish school on the yield of a purse-seine small pelagic fishery including a marine protected area},
  author = {{H}ieu, {N}. {T}. and {B}rochier, {T}imoth{\'e}e and {T}ri, {N}. {H}. and {A}uger, {P}ierre and {B}rehmer, {P}atrice},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e consider a fishery model with two sites: (1) a marine protected area ({MPA}) where fishing is prohibited and (2) an area where the fish population is harvested. {W}e assume that fish can migrate from {MPA} to fishing area at a very fast time scale and fish spatial organisation can change from small to large clusters of school at a fast time scale. {T}he growth of the fish population and the catch are assumed to occur at a slow time scale. {T}he complete model is a system of five ordinary differential equations with three time scales. {W}e take advantage of the time scales using aggregation of variables methods to derive a reduced model governing the total fish density and fishing effort at the slow time scale. {W}e analyze this aggregated model and show that under some conditions, there exists an equilibrium corresponding to a sustainable fishery. {O}ur results suggest that in small pelagic fisheries the yield is maximum for a fish population distributed among both small and large clusters of school.},
  keywords = {{O}ptimal yield ; {S}mall pelagic fish ; {F}ish school ; {C}lusters ; {M}arine protected area ; {A}ggregation of variables ; {T}hree level system},
  booktitle = {},
  journal = {{A}cta {B}iotheoretica},
  volume = {62},
  numero = {3},
  pages = {339--353},
  ISSN = {0001-5342},
  year = {2014},
  DOI = {10.1007/s10441-014-9220-1},
  URL = {https://www.documentation.ird.fr/hor/fdi:010062476},
}