@article{fdi:010064022, title = {{O}n the optimal size and number of reserves in a multi-site fishery model}, author = {{M}oussaoui, {A}. and {B}ensenane, {M}. and {A}uger, {P}ierre and {B}ah, {A}.}, editor = {}, language = {{ENG}}, abstract = {{T}his paper addresses the problem of the optimal size and number of marine reserves to achieve maximum value in commercial fisheries. {A} simplified network planning situation is analyzed to optimize the size and number of marine reserves. {W}e consider a general 2{L}-patch model of harvesting population dynamics with continuous time. {F}ish movements between the sites, as well as vessel displacements between the fishing sites, are assumed to take place at a faster time scale than the variation of the stock and the change of the fleet size. {W}e take advantage of these two time scales to derive a reduced model governing the dynamics of the total fish stock and the total fishing effort. {T}his reduced model is used to determine the optimal size and number of a marine reserves in order to maximize the catch at equilibrium. {W}e show that the optimal number that maximizes the total fish catch at equilibrium depend intricately on the size of the reserve: {A} small number of reserves is optimal when the size of the reserve is higher and inverse.}, keywords = {{F}ishery {M}odel ; {MPA}s ; {T}ime {S}cales ; {A}ggregation of {V}ariables ; {S}tability}, booktitle = {}, journal = {{J}ournal of {B}iological {S}ystems}, volume = {23}, numero = {1}, pages = {31--47}, ISSN = {0218-3390}, year = {2015}, DOI = {10.1142/s0218339015500023}, URL = {https://www.documentation.ird.fr/hor/fdi:010064022}, }