Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling
AbstractThis 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.
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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2004.159.
Date of creation: Dec 2004
Date of revision:
Spatial analysis; Economic-ecological modelling;
Other versions of this item:
- William Brock & Anastasios Xepapadeas, 2004. "Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling," Working Papers 0407, University of Crete, Department of Economics.
- Brock,W.A. & Xepapadeas,A., 2004. "Spatial analysis : development of descriptive and normative methods with applications to economic-ecological modelling," Working papers 17, Wisconsin Madison - Social Systems.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-01-16 (All new papers)
- NEP-ENV-2005-01-16 (Environmental Economics)
- NEP-GEO-2005-01-16 (Economic Geography)
- NEP-RES-2005-01-16 (Resource Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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