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 inter- action of coupled economic and ecological dynamics over space endogenously creates (or destroys) spatial heterogeneity. It also extends Turing analysis to standard recursive optimal control frame- works 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 inâ¦nite horizon optimal control settings is new.
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Bibliographic InfoPaper provided by Wisconsin Madison - Social Systems in its series Working papers with number 17.
Date of creation: 2004
Date of revision:
Contact details of provider:
Postal: UNIVERSITY OF WISCONSIN MADISON, SOCIAL SYSTEMS RESEARCH INSTITUTE(S.S.R.I.), MADISON WISCONSIN 53706 U.S.A.
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.
- 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.
- 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-2005-10-15 (All new papers)
- NEP-ENV-2005-10-15 (Environmental Economics)
- NEP-GEO-2005-10-15 (Economic Geography)
- NEP-HPE-2005-10-15 (History & Philosophy of Economics)
- NEP-URE-2005-10-15 (Urban & Real Estate Economics)
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