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An Aggregated Model for Optimal Harvesting of Fish

Edgar Otumba, Henry Mwambi, Fredrick Onyango

Abstract


This paper presents an advancement to the study of population dynamics by providing a link between
an individual’s behaviour, and its fecundity level. We have used aggregation methods for discrete populations
to come up with a model that combines a game theoretic process and a population projection model. The aggregated model is then used to determine equilibrium structures of populations which are classified by age. The model is fitted to data collected on a fish species, The Arctic Cod, and the parameter estimates are shown to be useful in determination of optimal yields for fish populations.

Keywords


Aggregation, Equilibrium, Game Theory, Leslie Matrix, Optimal Harvesting.

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