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Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling

Author

Listed:
  • Anastasios Xepapadeas

    (University of Crete)

  • William Brock

    (University of Wisconsin)

Abstract

This paper adapts Turing analysis and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics over space endogenously creates (or destroys) spatial heterogeneity. It also extends Turing analysis to standard recursive optimal control frameworks in economic analysis and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics under optimal control over space creates a challenge to analytical tractability. We show how an appropriate formulation of the problem reduces analysis to a tractable extension of linearization methods applied to the spatial analog of the well known costate/state dynamics. We illustrate the usefulness of our methods on bioeconomic applications, but the methods have more general economic applications where spatial considerations are important. We believe that the extension of Turing analysis and the theory associated with dispersion relationship to recursive infinite horizon optimal control settings is new.

Suggested Citation

  • Anastasios Xepapadeas & William Brock, 2004. "Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling," Working Papers 2004.159, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2004.159
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    References listed on IDEAS

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    1. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    2. Brock, William & Xepapadeas, Anastasios, 2002. "Optimal Ecosystem Management when Species Compete for Limiting Resources," Journal of Environmental Economics and Management, Elsevier, vol. 44(2), pages 189-220, September.
    3. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
    4. Sanchirico, James N., 2005. "Additivity properties in metapopulation models: implications for the assessment of marine reserves," Journal of Environmental Economics and Management, Elsevier, vol. 49(1), pages 1-25, January.
    5. Sanchirico, James N. & Wilen, James E., 2001. "A Bioeconomic Model of Marine Reserve Creation," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 257-276, November.
    6. Paul Krugman, 1998. "Space: The Final Frontier," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 161-174, Spring.
    7. Sanchirico, James N. & Wilen, James E., 1999. "Bioeconomics of Spatial Exploitation in a Patchy Environment," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 129-150, March.
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    Cited by:

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    2. Yun, Seong Do & Gramig, Benjamin M., 2014. "Dynamic Optimization of Ecosystem Services: A Comparative Analysis of Non-Spatial and Spatially-Explicit Models," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170450, Agricultural and Applied Economics Association.

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    More about this item

    Keywords

    Spatial analysis; Economic-ecological modelling;

    JEL classification:

    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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