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Developing a predator-prey model for the hake and blue whiting spanish fisheries ppt.pdf

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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 Spanish fishing fleet in the National Fishing Ground (ICES areas VIIIc and IXa). In this model, the Southern hake (Merluccius merluccius) represents the predator, and the blue whiting (Micromesistius poutassou) is the prey. Blue whiting is the hake’s main prey in the study area, and it represents about 40% of the Southern hake diet. Both the predator and prey population dynamics follow the Lotka-Volterra formulation, and population dynamics are assumed as logistic, with two interaction coefficients: α is the effect of a unit change in the prey on the percent growth rate of the predator and β is the 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 Southern 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 and prices of hake and blue whiting and discount rate were introduced at this point. Landings and SSB (Spawning Stock Biomass) data from both stocks over the period 1988-2010 were used for an econometric estimation by means of the Ordinary Least Squares method, to determine the form taken by the predator-prey net growth functions.
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file details Developing_a_predator-prey_model_for_the_hake_and_blue_whiting_spanish_fisheries_ppt.pdf 2017-10-31 Öffentlich Herunterladen