G2TT
来源类型FEEM working papers "Note di lavoro" series
规范类型论文
Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models
Anastasios Xepapadeas; William Brock
发表日期2005
出处Climate Change and Sustainable Development
出版年2005
语种英语
摘要This paper extends Turing analysis to standard recursive optimal control frameworks in economics and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics under optimal control over space creates (or destroys) spatial heterogeneity. We show how our approach reduces the analysis to a tractable extension of linearization methods applied to the spatial analog of the well known costate/state dynamics. We explicitly show the existence of a non-empty Turing space of diffusive instability by developing a linear-quadratic approximation of the original non-linear problem. We apply our method to a bioeconomic problem, but the method has more general economic applications where spatial considerations and pattern formation are important. We believe that the extension of Turing analysis and the theory associated with the dispersion relationship to recursive infinite horizon optimal control settings is new.
特色分类Q2,C6
关键词Spatial analysis,Pattern formation,Turing mechanism,Turing space,Pontryagin's principle,Bioeconomics
URLhttps://www.feem.it/en/publications/feem-working-papers-note-di-lavoro-series/optimal-control-and-spatial-heterogeneity-pattern-formation-in-economic-ecological-models/
来源智库Fondazione Eni Enrico Mattei (Italy)
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/117208
推荐引用方式
GB/T 7714
Anastasios Xepapadeas,William Brock. Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models. 2005.
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