Control Theory and Viability Methods for Sustainable Management of Natural Resources
25 Setembro 2012 ·
- Quem: Michel de Lara
- Onde: FGV -- Praia de Botafogo, 190, sala 317
- Quando: 25 de Setembro de 2012 às 11:00h
We cover applications of control theory and optimization to the management of natural resources. To begin with, we present some stylized decision models in climate change mitigation, fisheries management, dam management. We show how a priori conflicting objectives such as economic (production) versus ecological (preservation) can be formulated as constraints to be satisfied by a control dynamical system. Viability analysis provides conditions under which there exist management strategies which allow these constraints to be satisfied, on a given horizon. As an application, we present a viability analysis of the anchovy–hake couple in the Peruvian upwelling ecosystem. We also develop a notion of ecosystem sustainable yields. When uncertainties affect the dynamics, we show how to adapt the above framework and we introduce stochastic viability. We propose to rank strategies by their probability to achieve given objectives for all times on a given horizon. A numerical application to dam management under tourist constraint is given.
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