IDEAS home Printed from
   My bibliography  Save this article

Solving optimal timing problems in environmental economics


  • Balikcioglu, Metin
  • Fackler, Paul L.
  • Pindyck, Robert S.


Two papers of (Pindyck, 2000) and (Pindyck, 2002) that modeled the control of stock pollutants as optimal stopping problems contained closed form solutions that are incorrect. This paper discusses a subtle error in the derivation and demonstrates how solutions to these and related problems can be obtained numerically. The numerical solutions are contrasted with the ones contained in Pindyck's original papers.

Suggested Citation

  • Balikcioglu, Metin & Fackler, Paul L. & Pindyck, Robert S., 2011. "Solving optimal timing problems in environmental economics," Resource and Energy Economics, Elsevier, vol. 33(3), pages 761-768, September.
  • Handle: RePEc:eee:resene:v:33:y:2011:i:3:p:761-768

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    1. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, January.
    2. Pindyck, Robert S., 2000. "Irreversibilities and the timing of environmental policy," Resource and Energy Economics, Elsevier, vol. 22(3), pages 233-259, July.
    3. Pindyck, Robert S., 2002. "Optimal timing problems in environmental economics," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1677-1697, August.
    4. Conrad, Jon M., 2000. "Wilderness: options to preserve, extract, or develop," Resource and Energy Economics, Elsevier, vol. 22(3), pages 205-219, July.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Agliardi, Elettra & Sereno, Luigi, 2011. "The effects of environmental taxes and quotas on the optimal timing of emission reductions under Choquet–Brownian uncertainty," Economic Modelling, Elsevier, vol. 28(6), pages 2793-2802.
    2. E. Agliardi & L. Sereno, 2012. "On the optimal timing of switching from non-renewable to renewable resources: dirty vs clean energy sources and the relative efficiency of generators," Working Papers wp855, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Charles Sims & David Finnoff & Jason F. Shogren, 2016. "Bioeconomics of invasive species: using real options theory to integrate ecology, economics, and risk management," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 8(1), pages 61-70, February.
    4. Dumortier, Jerome & Kauffman, Nathan & Hayes, Dermot J., 2015. "Uncertainty and Time-to-Build in Bioenergy Crop Production," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205574, Agricultural and Applied Economics Association;Western Agricultural Economics Association.
    5. Eryilmaz, Derya & Homans, Frances, 2013. "Uncertainty in Renewable Energy Policy: How do Renewable Energy Credit markets and Production Tax Credits affect decisions to invest in renewable energy?," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150018, Agricultural and Applied Economics Association.
    6. Niko Jaakkola, 2013. "Putting OPEC Out of Business," OxCarre Working Papers 099, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
    7. Agliardi, Elettra & Sereno, Luigi, 2012. "Environmental protection, public finance requirements and the timing of emission reductions," Environment and Development Economics, Cambridge University Press, vol. 17(06), pages 715-739, December.
    8. Framstad, Nils Chr. & Strand, Jon, 2015. "Energy intensive infrastructure investments with retrofits in continuous time: Effects of uncertainty on energy use and carbon emissions," Resource and Energy Economics, Elsevier, vol. 41(C), pages 1-18.
    9. Fenichel, Eli P. & Horan, Richard D., 2016. "Tinbergen and tipping points: Could some thresholds be policy-induced?," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 137-152.
    10. Eli Fenichel & Timothy Richards & David Shanafelt, 2014. "The Control of Invasive Species on Private Property with Neighbor-to-Neighbor Spillovers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 231-255, October.
    11. Sims, Charles & Finnoff, David, 2013. "When is a “wait and see” approach to invasive species justified?," Resource and Energy Economics, Elsevier, vol. 35(3), pages 235-255.
    12. Tsur, Yacov & Zemel, Amos, 2012. "Dynamic and stochastic analysis of environmental and natural resources," Discussion Papers 120017, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.
    13. Dumortier, Jerome Robert Florian, 2011. "The impact of forest offset credits under a stochastic carbon price on agriculture using a rational expectations and real options framework," ISU General Staff Papers 201101010800001160, Iowa State University, Department of Economics.
    14. Dumortier, Jerome & Kauffman, Nathan & Hayes, Dermot J., 2017. "Production and spatial distribution of switchgrass and miscanthus in the United States under uncertainty and sunk cost," Energy Economics, Elsevier, vol. 67(C), pages 300-314.
    15. Strand, Jon, 2014. "Implications of a lowered damage trajectory for mitigation in a continuous-time stochastic model," Energy Economics, Elsevier, vol. 42(C), pages 43-49.
    16. Framstad, Nils Chr., 2013. "When can environmental profile and emissions reductions be optimized independently of the pollutant level?," Memorandum 12/2013, Oslo University, Department of Economics.
    17. Sims, Charles & Finnoff, David & O’Regan, Suzanne M., 2016. "Public control of rational and unpredictable epidemics," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 161-176.
    18. Mosiño, Alejandro, 2012. "Producing energy in a stochastic environment: Switching from non-renewable to renewable resources," Resource and Energy Economics, Elsevier, vol. 34(4), pages 413-430.
    19. Dumortier, Jerome, 2012. "Welfare changes associated with forest carbon offset credits in the United States," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124632, Agricultural and Applied Economics Association.
    20. Travaglini, Giuseppe, 2015. "Nonlinear dynamic pollution under uncertainty and binding targets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 175-183.


    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:eee:resene:v:33:y:2011:i:3:p:761-768. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.