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Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems

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Author Info
BROCK, William
XEPAPADEAS, Anastasios

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Abstract

We develop a novel theoretical framework for studying ecosystems in which interacting state variables which are affected by management decisions diffuse in space. We identify (i) mechanisms creating spatial patterns when economic agents maximize profit at each site by ignoring the impact of their actions on other sites and (ii) a diffusion induced externality. Pattern formation mechanisms and externalities create a divergence in the spatiotemporal structures emerging under private or social objectives We develop optimal regulation which internalize the spatiotemporal externalities. Our theory is applied to the management and regulation of a semi-arid system. Supporting numerical simulations are also presented.

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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 9105.

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Date of creation: 11 Jun 2008
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Handle: RePEc:pra:mprapa:9105

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Related research
Keywords: Economic-Ecological Systems; Pattern Formation; Reaction-Diffusion; Diffusion Instability; Spatial Externalities; Regulation;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Brock, William A. & Scheinkman, JoseA., 1976. "Global asymptotic stability of optimal control systems with applications to the theory of economic growth," Journal of Economic Theory, Elsevier, vol. 12(1), pages 164-190, February. [Downloadable!] (restricted)
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  2. Feichtinger, Gustav & Novak, Andreas & Wirl, Franz, 1994. "Limit cycles in intertemporal adjustment models : Theory and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 18(2), pages 353-380, March. [Downloadable!] (restricted)
  3. Sanchirico, James N. & Wilen, James E., 2005. "Optimal spatial management of renewable resources: matching policy scope to ecosystem scale," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 23-46, July. [Downloadable!] (restricted)
  4. Goetz, Renan U. & Zilberman, David, 2000. "The dynamics of spatial pollution: The case of phosphorus runoff from agricultural land," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 143-163, January. [Downloadable!] (restricted)
  5. Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Brock, William & Xepapadeas, Anastasios, 2008. "General Pattern Formation in Recursive Dynamical Systems Models in Economics," MPRA Paper 12305, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  2. Klaus Desmet & Esteban Rossi-Hansberg, 2009. "Spatial Development," NBER Working Papers 15349, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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