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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 |
URL | https://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. |
条目包含的文件 | ||||||
文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
NDL2005-096.pdf(1993KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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