Optimal Harvesting Time in Fish Farming with Heterogenous Population

Abstract

The optimal harvesting time in a fish farm is analyzed in the paper. Fish population is assumed to be heterogeneous with respect to weight, so a distributed parameter dynamic model is considered. Theoretical and numerical results are obtained and compared with the ones concerning homogeneous fish cultures only. The results are applied to the tilapia farming in Mexico for which empirical and market data were obtained. The actual managerial practices turn out to be close to the optimal solution in the model where weight-heterogeneity of the culture is taken into account

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