@article{fdi:010073020, title = {{C}ompetition or cooperation in transboundary fish stocks management : insight from a dynamical model}, author = {{N}guyen, {T}. {H}. and {B}rochier, {T}imoth{\'e}e and {A}uger, {P}ierre and {T}rinh, {V}. {D}. and {B}rehmere, {P}.}, editor = {}, language = {{ENG}}, abstract = {{A}n idealized system of a shared fish stock associated with different exclusive economic zones ({EEZ}) is modelled. {P}arameters were estimated for the case of the small pelagic fisheries shared between {S}outhern {M}orocco, {M}auritania and the {S}enegambia. {T}wo models of fishing effort distribution were explored. {T}he first one considers independent national fisheries in each {EEZ}, with a cost per unit of fishing effort that depends on local fishery policy. {T}he second one considers the case of a fully cooperative fishery performed by an international fleet freely moving across the borders. {B}oth models are based on a set of six ordinary differential equations describing the time evolution of the fish biomass and the fishing effort. {W}e take advantage of the two time scales to obtain a reduced model governing the total fish biomass of the system and fishing efforts in each zone. {A}t the fast equilibrium, the fish distribution follows the ideal free distribution according to the carrying capacity in each area. {D}ifferent equilibria can be reached according to management choices. {W}hen fishing fleets are independent and national fishery policies are not harmonized, in the general case, competition leads after a few decades to a scenario where only one fishery remains sustainable. {I}n the case of sub-regional agreement acting on the adjustment of cost per unit of fishing effort in each {EEZ}, we found that a large number of equilibria exists. {I}n this last case the initial distribution of fishing effort strongly impact the optimal equilibrium that can be reached. {L}astly, the country with the highest carrying capacity density may get less landings when collaborating with other countries than if it minimises its fishing costs. {T}he second fully cooperative model shows that a single international fishing fleet moving freely in the fishing areas leads to a sustainable equilibrium. {S}uch findings should foster regional fisheries organizations to get potential new ways for neighbouring fish stock management.}, keywords = {{S}hared fish stock ; {A}ggregation of variables ; {ODE} ; {P}elagic ; {F}isheries management ; {W}est {A}frica ; {ATLANTIQUE} ; {AFRIQUE} {DE} {L}'{OUEST}}, booktitle = {}, journal = {{J}ournal of {T}heoretical {B}iology}, volume = {447}, numero = {}, pages = {1--11}, ISSN = {0022-5193}, year = {2018}, DOI = {10.1016/j.jtbi.2018.03.017}, URL = {https://www.documentation.ird.fr/hor/fdi:010073020}, }