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Spatial Resource Management under Pollution Externalities

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  • Anastasios Xepapadeas
  • Athanasios Yannacopoulos

Abstract

Variables describing the state of an environmental system such as resources (renewable or exhaustible), pollutants, greenhouse gases have a profound spatial dimension. This is because resources or pollutants are harvested, extracted, emitted, or abated in a specific location or locations, the impacts of environmental variables, whether beneficial or detrimental, have a strong spatial dimension, and there is transport of environmental state variables across geographical space due to natural processes. In this paper we study dynamic optimization for the joint management of resources and pollution when pollution affects resource growth and when spatial transport phenomena both for the resources and the pollution are present. We present approaches that deal with dynamic optimization in infinite dimensional spaces which can be used as tools in environmental and resource economic. We also present methods which can be used to study the emergence of spatial patterns in dynamic optimizations models. Our methods draw on the celebrated Turing diffusion induced instability but are different from Turing�s mechanism since they apply to forward-optimization models. We believe that this approach provides the tools to analyze a wide range of problems with explicit spatial structure which are very often encountered in environmental and resource economics.

Suggested Citation

  • Anastasios Xepapadeas & Athanasios Yannacopoulos, 2015. "Spatial Resource Management under Pollution Externalities," DEOS Working Papers 1516, Athens University of Economics and Business.
  • Handle: RePEc:aue:wpaper:1516
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    File URL: http://wpa.deos.aueb.gr/docs/Spatial.Resource.Management.under.Pollution.Externalities.pdf
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    References listed on IDEAS

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    1. Camacho, Carmen & Pérez-Barahona, Agustín, 2015. "Land use dynamics and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 96-118.
    2. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
    3. Desmet, Klaus & Rossi-Hansberg, Esteban, 2015. "On the spatial economic impact of global warming," Journal of Urban Economics, Elsevier, vol. 88(C), pages 16-37.
    4. James E. Wilen, 2007. "Economics of Spatial-Dynamic Processes," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(5), pages 1134-1144.
    5. John Hassler & Per Krusell, 2012. "Economics And Climate Change: Integrated Assessment In A Multi-Region World," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 974-1000, October.
    6. Brock, William A. & Engström, Gustav & Grass, Dieter & Xepapadeas, Anastasios, 2013. "Energy balance climate models and general equilibrium optimal mitigation policies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2371-2396.
    7. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
    8. Brock, William A. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2014. "Spatial externalities and agglomeration in a competitive industry," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 143-174.
    9. Behringer, Stefan & Upmann, Thorsten, 2014. "Optimal harvesting of a spatial renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 105-120.
    10. Klaus Desmet & Esteban Rossi-Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63.
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    More about this item

    Keywords

    Spatial transport; renewable resource; pollution; optimization; infinite dimensional spaces; Tiring instability; patter formation; policy design;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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