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Optimal Control in Space and Time and the Management of Environmental Resources

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  • William Brock
  • Anastasios Xepapadeas
  • Athanasios Yannacopoulos

Abstract

We present methods and tools that can be used to study dynamic environmental resource management in a spatial setting, to explore spatially dependent regulation, and to understand pattern formation.In particular we present the maximum principle and its use in the context of the emerging frontier of applications of optimal control of diffusive transport processes to environmental and resource economics. We show how optimal spatiotemporal control induces pattern formation, and how deep uncertainty with a spatial structure can be handled with spatial robust control methods. Finally we show how models with diffusive transport can be extended to allow for long-range effects and more general transport mechanisms.

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Bibliographic Info

Paper provided by Athens University of Economics and Business in its series DEOS Working Papers with number 1402.

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Date of creation: 16 Feb 2014
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Handle: RePEc:aue:wpaper:1402

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Web page: http://deos.aueb.gr/
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Related research

Keywords: Diffusion; optimal control; pattern formation; robust control; hot spots; spatial externalities;

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References

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Cited by:
  1. Giorgio Fabbri, 2014. "Ecological Barriers and Convergence: A Note on Geometry in Spatial Growth Models," Documents de recherche, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne 14-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.

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