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Mathematical Medicine and Biology Advance Access published online on March 22, 2006
Mathematical Medicine and Biology, doi:10.1093/imammb/dql005
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Received July 4, 2005
Accepted February 17, 2006

Article

Application of a threshold policy in the management of multispecies fisheries and predator culling

Michel Iskin da Silveira Costa 1 * and Magno Enrique Mendoza Meza 1

1 Laboratório Nacional de Computação Científica, Avenida Getúlio Vargas 333, Quitandinha, Petrópolis, Rio de Janeiro 25651-070, Brazil

* To whom correspondence should be addressed.
Michel Iskin da Silveira Costa, E-mail: michel{at}lncc.br


  Abstract

Yodzis discusses how the differing biological assumptions as to predator interference on the forms of predator-prey models can influence the conclusion to be drawn from multispecies population models with respect to the way predators affect human harvesting of natural populations. To deal with these intricacies related to biological assumptions and fishery management policies, a specific management strategy called threshold policy is proposed. It is shown that its application to the same models analysed by Yodzis leaves the behaviour of the managed population less sensitive to the underlying biological features and assumptions as well as parameter uncertainties. The same management strategy is proposed for the same models in the context of the timely issue of predator culling in fisheries. Interestingly, the fishery yield for each model is exactly the same despite their different biological assumptions.

Keywords: predator-prey dynamics; threshold policy; predator culling; virtual equilibrium point; sustainable yield.
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