The Effect of Connecting Sites in the Environment of a Harvested Population

Rafael Bravo de la Parra (1) , Jean-Christophe Poggiale (2) , Pierre Auger (3)

1 UAH - Universidad de Alcalá - University of Alcalá
2 MIO - Institut méditerranéen d'océanologie
3 UMMISCO - Unité de modélisation mathématique et informatique des systèmes complexes [Bondy]

This work presents a model of a harvested population in a multisite environment. Locally it has the shape of the Gordon-Schaefer model. This model gives rise, placing us in the case of a fishery, to an equilibrium of the stock and the fishing effort and, therefore, of the yield that is obtained per unit of time. Considering that the management of the fishery can act on the fishing costs, the yield is optimized as a function of the cost. The objective of the work is to compare the maximum obtained yield in two extreme cases: unconnected sites and connected sites with rapid movements of both the stock and the fishing effort. The analysis of the model, first in an environment with two sites and later with any number of them, makes it possible to establish the conditions for one of the two cases to be more favorable from the point of view of the yield. In this way, it is proposed towards which of the two compared cases management should be directed.

Mots clés: multisite fishery Gordon-Schaefer model time scales maximum sustainable yield; multisite fishery; Gordon-Schaefer model; time scales; maximum sustainable yield; multisite fishery Gordon-Schaefer model time scales maximum sustainable yield

Domaines: Mathématiques [math]; Sciences de l'environnement

Rafael Bravo de la Parra, Jean-Christophe Poggiale, Pierre Auger. The Effect of Connecting Sites in the Environment of a Harvested Population. Mathematical Modelling of Natural Phenomena, 2023, 18, pp.4. ⟨10.1051/mmnp/2023004⟩. ⟨hal-04015209⟩