Boletín SEMA, No 47 (2009)

Tamaño de la letra:  Pequeña  Mediana  Grande

A REALISTIC EXAMPLE OF ENVIROMENTAL CONTROL: OPTIMIZATION OF RIVER FISHWAYS

L.J. Álvarez-Vázquez, A. Martínez, M.E. Vázquez-Méndez, M.A. Vilar

Resumen


The main ob jective of this work is to present an application of
mathematical modelling and optimal control theory to an ecological
engineering problem related to preserve and enhance natural stocks of
salmon and other fish which migrate between saltwater and freshwater.
Particularly, we study (a) the design and (b) the management of
a hydraulic structure (fishway) that enables fish to overcome stream
obstructions as dams or weirs. Both problems are formulated within
the framework of the optimal control of partial differential equations.
They are approximated by discrete unconstrained optimization problems,
and then, solved by using a gradient-free method (the Nelder-Mead
algorithm). Finally, numerical results are showed in a standard real-world
situation.

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