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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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)
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.:
- Dixit, Avinash K & Stiglitz, Joseph E, 1975.
"Monopolistic Competition and Optimum Product Diversity,"
The Warwick Economics Research Paper Series (TWERPS)
64, University of Warwick, Department of Economics.
- 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.
- 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.
- 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.
- 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.
- Brock,W. & Xepapadeas,A., 2000. "Optimal ecosystem management when species compete for limiting resources," Working papers 27, Wisconsin Madison - Social Systems.
- Paul Krugman, 1998. "Space: The Final Frontier," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 161-174, Spring.
- Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ailsenne Sumwalt).
If references are entirely missing, you can add them using this form.