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

William Brock and Anastasios Xepapadeas

No 407, Working Papers from University of Crete, Department of Economics

Abstract: This 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 in…nite horizon optimal control settings is new.

Keywords: Spatial analysis; Pattern formation; Turing mechanism; Optimal control; bioeconomic problems (search for similar items in EconPapers)
JEL-codes: C6 Q2 (search for similar items in EconPapers)
Pages: 43 pages
Date: 2004-10-20
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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http://economics.soc.uoc.gr/wpa/docs/SpatialMethod ... nsSubmAER20Oct04.pdf First version (application/pdf)

Related works:
Working Paper: Spatial analysis: development of descriptive and normative methods with applications to economic-ecological modelling (2004)
Working Paper: Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:crt:wpaper:0407

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