Harvesting technology and catch-to-biomass dependence: The case of small pelagic fish

Pedro Guajardo (), Julio Peña Torres () and Hector Ramirez ()
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Pedro Guajardo: Departamento de Matemática, Universidad Técnica Federico Santa María. Avda. España 1680, Valparaíso, Chile
Julio Peña Torres: ILADES-Georgetown University, Universidad Alberto Hurtado
Hector Ramirez: Departamento de Ingeniería Matemática, Centro de Modelamiento Matemático(CNRS UMI 2807), FCFM, Universidad de Chile, Avda. Blanco Encalada 2120, Santiago, Chile

ILADES-UAH Working Papers from Universidad Alberto Hurtado/School of Economics and Business

Abstract: This note deals with a harvesting model for a single stock fishery. In the case of small pelagic fish it seems reasonable to consider harvest functions depending nonlinearly on fishing effort and on fish stock. Empirical evidence about these fish species suggests that marginal catch does not necessarily react in a linear way to changes in fishing effort and fish stock levels. This is in contradiction with traditional fishery models where catch-to-input marginal productivities are normally assumed to be constant. While allowing for non linearities in both catch-to-effort and catch-to-stock parameters, this note extends the traditional analysis by focusing on the dependence of the stationary solutions upon the nonlinear catch-to-biomass parameter. Given the emphasis on the case of small pelagic fish, the analysis considers positive but small values for the catch-to-stock parameter.

Keywords: small pelagic fisheries; harvesting functions; Cobb-Douglas production function; optimal control; maximum principle. (search for similar items in EconPapers)
JEL-codes: C23 C25 Q22 (search for similar items in EconPapers)
Pages: 17 pages
Date: 2009-12
New Economics Papers: this item is included in nep-lam
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