Sharing a Fish Resource – Bioeconomic Analysis of An Applied Allocation Rule

Political and economic factors usually determine the harvest sharesallotted to heterogeneous fisher groups harvesting upon the same fishstock. Given that the fishers harvest upon different segments of a fishstock with, for instance, cannibalistic tendencies, the shares allottedmay have considerable effect upon the well-being of the stock and theeconomics of the fishery. This paper analyses an existing allocationrule defining harvest shares allotted to two vessel groups (trawlers andcoastal vessels) in the Norwegian cod fishery. We apply a model with twointeracting age groups within a single fish stock, where the interactionhas both biological and economic implications. Requiring a first bestapproach to an optimal stock size results in no harvest in the firstyears studied. In order to ensure harvest amounts close to the historicharvest, we design a second best model giving optimal biological sharesin the build-up phase of the stock, and bioeconomic optimal shares atthe optimum fish stock level. The second best model recommends that foran increasing stock size the trawlers should obtain decreasing shares.We find that the actual allocation rule functions in a manner oppositeto the second best model, since this rule allocates an increasing shareto the trawlers for an increasing stock size. Copyright Kluwer Academic Publishers 1999