IDEAS home Printed from https://ideas.repec.org/h/spr/dymchp/978-3-642-54086-8_10.html
   My bibliography  Save this book chapter

Robust Control of a Spatially Distributed Commercial Fishery

In: Dynamic Optimization in Environmental Economics

Author

Listed:
  • William A. Brock

    (University of Wisconsin, Madisson
    University of Missouri)

  • Anastasios Xepapadeas

    (Athens University of Economics and Business)

  • Athanasios N. Yannacopoulos

    (Athens University of Economics and Business)

Abstract

We consider a robust control model for a spatially distributed commercial fishery under uncertainty, and in particular a tracking problem, i.e. the problem of robust stabilization of a chosen deterministic benchmark state in the presence of model uncertainty. The problem is expressed in the form of a stochastic linear quadratic robust optimal control problem, which is solved analytically. We focus on the emergence of breakdown from the robust stabilization policy, called hot spots, and comment upon their significance concerning the spatiotemporal behaviour of the system.

Suggested Citation

  • William A. Brock & Anastasios Xepapadeas & Athanasios N. Yannacopoulos, 2014. "Robust Control of a Spatially Distributed Commercial Fishery," Dynamic Modeling and Econometrics in Economics and Finance, in: Elke Moser & Willi Semmler & Gernot Tragler & Vladimir M. Veliov (ed.), Dynamic Optimization in Environmental Economics, edition 127, pages 215-241, Springer.
    • Handle: RePEc:spr:dymchp:978-3-642-54086-8_10
    DOI: 10.1007/978-3-642-54086-8_10
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. James E. Wilen, 2007. "Economics of Spatial-Dynamic Processes," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(5), pages 1134-1144.
    2. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    3. Athanassoglou, Stergios & Xepapadeas, Anastasios, 2012. "Pollution control with uncertain stock dynamics: When, and how, to be precautious," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 304-320.
    4. W. Brock & A. Xepapadeas & A. Yannacopoulos, 2014. "Robust Control and Hot Spots in Spatiotemporal Economic Systems," Dynamic Games and Applications, Springer, vol. 4(3), pages 257-289, September.
    5. Brock, William & Xepapadeas, Anastasios, 2010. "Pattern formation, spatial externalities and regulation in coupled economic-ecological systems," Journal of Environmental Economics and Management, Elsevier, vol. 59(2), pages 149-164, March.
    6. Magill, Michael J. P., 1977. "A local analysis of N-sector capital accumulation under uncertainty," Journal of Economic Theory, Elsevier, vol. 15(1), pages 211-219, June.
    7. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. Sanchirico, James N. & Wilen, James E., 1999. "Bioeconomics of Spatial Exploitation in a Patchy Environment," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 129-150, March.
    10. Magill, Michael J. P., 1977. "Some new results on the local stability of the process of capital accumulation," Journal of Economic Theory, Elsevier, vol. 15(1), pages 174-210, June.
    11. 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.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Athanasios Yannacopoulos & Anastasios Xepapadeas, 2013. "Climate Change Policy under Spatially Structured Ambiguity: Hot Spots and the Precautionary Principle," DEOS Working Papers 1332, Athens University of Economics and Business.
    2. Behringer, Stefan & Upmann, Thorsten, 2014. "Optimal harvesting of a spatial renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 105-120.
    3. Anastasios Xepapadeas & Athanasios Yannacopoulos, 2018. "Spatially Structured Deep Uncertainty, Robust Control, and Climate Change Policies," DEOS Working Papers 1807, Athens University of Economics and Business.
    4. Brock, William A. & Engström, Gustav & Grass, Dieter & Xepapadeas, Anastasios, 2013. "Energy balance climate models and general equilibrium optimal mitigation policies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2371-2396.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
    2. W. A. Brock & A. Xepapadeas, 2015. "Modeling Coupled Climate, Ecosystems, and Economic Systems," Working Papers 2015.66, Fondazione Eni Enrico Mattei.
    3. W. Brock & A. Xepapadeas & A. Yannacopoulos, 2014. "Robust Control and Hot Spots in Spatiotemporal Economic Systems," Dynamic Games and Applications, Springer, vol. 4(3), pages 257-289, September.
    4. Anastasios Xepapadeas, 2010. "Modeling complex systems," Agricultural Economics, International Association of Agricultural Economists, vol. 41(s1), pages 181-191, November.
    5. William Brock & Anastasios Xepapadeas, 2020. "Spatial Environmental and Resource Economics," DEOS Working Papers 2002, Athens University of Economics and Business.
    6. Anastasios Xepapadeas, 2012. "Diffusion and Spatial Aspects," DEOS Working Papers 1232, Athens University of Economics and Business.
    7. Brock, William & Xepapadeas, Anastasios, 2010. "Pattern formation, spatial externalities and regulation in coupled economic-ecological systems," Journal of Environmental Economics and Management, Elsevier, vol. 59(2), pages 149-164, March.
    8. Yun, Seong Do & Gramig, Benjamin M., 2014. "Dynamic Optimization of Ecosystem Services: A Comparative Analysis of Non-Spatial and Spatially-Explicit Models," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170450, Agricultural and Applied Economics Association.
    9. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
    10. William Brock & Anastasios Xepapadeas & Athanasios Yannacopoulos, 2014. "Spatiotemporal robust control in infinite dimensional spaces," DEOS Working Papers 1405, Athens University of Economics and Business.
    11. David Aadland & Charles Sims & David Finnoff, 2015. "Spatial Dynamics of Optimal Management in Bioeconomic Systems," Computational Economics, Springer;Society for Computational Economics, vol. 45(4), pages 545-577, April.
    12. Horan, Rick & Finnoff, David & Sims, Charles, 2024. "The Economics of Species' Migration When Space is the Thing that Moves: An Application to Wildlife Disease Management," 2024 Annual Meeting, July 28-30, New Orleans, LA 343973, Agricultural and Applied Economics Association.
    13. Anastasios Xepapadeas & Athanasios Yannacopoulos, 2018. "Spatially Structured Deep Uncertainty, Robust Control, and Climate Change Policies," DEOS Working Papers 1807, Athens University of Economics and Business.
    14. Phoebe Koundouri & Georgios I. Papayiannis & Athanasios Yannacopoulos, 2022. "Optimal Control Approaches to Sustainability under Uncertainty," DEOS Working Papers 2215, Athens University of Economics and Business.
    15. Behringer, Stefan & Upmann, Thorsten, 2014. "Optimal harvesting of a spatial renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 105-120.
    16. Camacho, Carmen & Pérez-Barahona, Agustín, 2015. "Land use dynamics and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 96-118.
    17. Xepapadeas, Anastasios, 2024. "Uncertainty and climate change: The IPCC approach vs decision theory," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 109(C).
    18. Pamela Giselle Katic, 2010. "Spatial dynamics and optimal resource extraction," Centre for Water Economics, Environment and Policy Papers 1002, Centre for Water Economics, Environment and Policy, Crawford School of Public Policy, The Australian National University.
    19. Levin, Simon & Xepapadeas, Anastasios, 2015. "Transboundary Capital and Pollution Flows and the Emergence of Regional Inequalities," Climate Change and Sustainable Development 206869, Fondazione Eni Enrico Mattei (FEEM).
    20. Torre, Davide La & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Transboundary pollution externalities: Think globally, act locally?," Journal of Mathematical Economics, Elsevier, vol. 96(C).

    More about this item

    Keywords

    Optimal Control Problem; Robust Control; Commercial Fishery; Model Misspecification; Turing Instability;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:dymchp:978-3-642-54086-8_10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.