A variational approach to the stock-recruitment relationship in fish population dynamic

摘要

We deal with a variational model of the stock-recruitment (S-R) relationship in fish dynamic. In this model, the S-R relationship is characterized as a minimizer of a suitable integral energy functional. By basic tools of Calculus of Variations, a necessary condition is derived. As application, the derived condition is used to test the equilibrium of the recruitment level. An exploratory numerical procedure is also discussed.