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A variational approach to the stock–recruitment relationship in fish population dynamic
Author(s) -
Granieri Luca
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1387
Subject(s) - mathematics , population dynamics of fisheries , stock (firearms) , population , fish <actinopterygii> , mathematical optimization , calculus (dental) , econometrics , mathematical economics , fishery , geography , demography , biology , sociology , medicine , archaeology , dentistry
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. Copyright © 2010 John Wiley & Sons, Ltd.