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Perez-Perez 0163.pdf

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https://ir.library.oregonstate.edu/concern/conference_proceedings_or_journals/6q182n05h

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  • The aim of this work is to develop a predator-prey model for two species of commercial importance captured by the European fishing fleet in the European Grounds. In this model, the hake (Merluccius merluccius) represents the predator, and the blue whiting (Micromesistius poutassou) is the prey. Both the predator and prey population dynamics follow the Lotka-Volterra formulation. It is assumed a logistic population dynamics and a linear interaction between predator and prey populations, with two interaction coefficients: α (effect of a unit change in the prey on the percent growth rate of the predator) and β (attack rate or searching efficiency of the predator). The populations interact randomly in proportion to population density. Logistic predator-prey equations were applied to the hake and blue whiting stocks, including biomass, intrinsic rates of growth, carrying capacity and capture for both species. The goal is to maximize the present value of profit, forming the current value Hamiltonian for the maximization problem. Capture costs depending on stock and prices of hake and blue whiting and discount rate were introduced at this point. Once the theoretical model was made, landings and biomass data from both stocks over the period 1988-2014 were used for an econometric Ordinary Least Squares estimation, to determine the form taken by the predator-prey net growth functions. Optimal biomass, catches and profits were determined by solving the applied model with quadratic net growth functions. The sensitivity analysis results show that the landings profits are larger at low discount rates.
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