In this paper we apply the so-called partition function approach to study coalition formation in the North-east Atlantic mackerel fishery in the presence of externalities. Atlantic mackerel is mainly exploited by the European Union (EU), the United Kingdom (UK), Norway, the Faroe Islands and...

The effects of random environmental impacts on optimal exploitation of a fish population are investigated using both optimization and simulation, based on a discrete-time age-structured bioeconomic model. The optimization problem is solved as a non-linear programming problem in GAMS. First, a...

Many biological and economic processes in fishery happen seasonally. Most of the extant literature tends to neglect this fact. This work is an initial attempt to treat seasonality in a systematic and proper way. We apply a periodic Bellman approach to obtain the optimal feedback policy of each...

This paper demonstrates a predator-prey system of cod and capelin that confronts a possible scenario of prey extinction under the first-best policy in a stochastic world. We discover a novel ‘super-harvest' phenomenon that the optimal harvest of the predator is even higher than the myopic...

More and more fishery researchers begin to acknowledge that one-dimensional biomass models may omit key information when generating management guidelines. For the more complicated age-structured models, numerous parameters require a proper estimation or a reasonable assumption. In this paper,...

We develop a discretization method for continuous-time bioeconomic models. Based on this method, we develop a discrete-time bioeconomic model to analyze seasonality in fisheries. The discretization method consists of three steps: first, we estimate a proper growth function for the...

We consider an infinite horizon optimization problem with arbitrary but finite periodicity in discrete time. The problem can be formulated as a fix-point problem for a contraction operator, and we provide a solution scheme for this class of problems. Our approach is an extension of the classical...

This study presents a multispecies stochastic model. The model suggests optimal fishing policy for two species in a three species predator prey ecosystem in the Barents Sea. We have employed stochastic dynamic programing to solve a three dimensional model, where catch is optimized by a...