Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/74252
Authors: 
Xepapadeas, Anastasios
Brock, William
Year of Publication: 
2004
Series/Report no.: 
Nota di Lavoro, Fondazione Eni Enrico Mattei 159.2004
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.
Subjects: 
Spatial analysis
Economic-ecological modelling
JEL: 
Q2
C6
Document Type: 
Working Paper

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