English, Article, Journal or magazine article edition: Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling William Brock; Anastasios Xepapadeas

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Bookmark: http://trove.nla.gov.au/version/76937
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling
Author
  • William Brock
  • Anastasios Xepapadeas
Physical Description
  • preprint
Notes
  • 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.
  • Spatial analysis, Pattern formation, Turing mechanism, Optimal control, bioeconomic problems
  • RePEc:crt:wpaper:0407
Language
  • English
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