IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v36y2014icp363-369.html
   My bibliography  Save this article

Dynamic optimal control of pollution abatement under emissions permit banking

Author

Listed:
  • Li, Shoude

Abstract

In a recent work, Dragone et al. (2010) modeled an optimal control model of pollution abatement, and investigated the adoption of a tax levied on the firm's instantaneous contribution to the accumulation of pollution. In this paper, we extend the work of Dragone et al. (2010) by providing a dynamic optimal control model of pollution abatement with emissions permits banking, where the firm is allowed to purchase, sell and bank emissions permits given a finite planning horizon of length. Our objective is to find the optimal levels of the production, the pollution abatement investment and the quantity of emissions permits bought or sold in continuous time through the use of optimal control theory. We illustrate the results with a numerical example.

Suggested Citation

  • Li, Shoude, 2014. "Dynamic optimal control of pollution abatement under emissions permit banking," Economic Modelling, Elsevier, vol. 36(C), pages 363-369.
  • Handle: RePEc:eee:ecmode:v:36:y:2014:i:c:p:363-369
    DOI: 10.1016/j.econmod.2013.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264999313004379
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econmod.2013.10.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Zhao, Jinhua, 2003. "Irreversible abatement investment under cost uncertainties: tradable emission permits and emissions charges," Journal of Public Economics, Elsevier, vol. 87(12), pages 2765-2789, December.
    2. Orr, Lloyd, 1976. "Incentive for Innovation as the Basis for Effluent Charge Strategy," American Economic Review, American Economic Association, vol. 66(2), pages 441-447, May.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. Kling, Catherine & Rubin, Jonathan, 1997. "Bankable permits for the control of environmental pollution," Journal of Public Economics, Elsevier, vol. 64(1), pages 101-115, April.
    5. Kling, Catherine L. & Rubin, Jonathan, 1993. "Emission Saved is an Emission Earned: An Empirical Study of Emission Banking (An)," Staff General Research Papers Archive 1579, Iowa State University, Department of Economics.
    6. Rubin, Jonathan D. & Kling, Catherine, 1993. "An Emission Saved is an Emission Earned: An Empirical Study of Emission Banking for Light-Duty Vehicle Manufacturers," University of California Transportation Center, Working Papers qt3rb1472g, University of California Transportation Center.
    7. Yates, Andrew J. & Cronshaw, Mark B., 2001. "Pollution Permit Markets with Intertemporal Trading and Asymmetric Information," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 104-118, July.
    8. D. Dragone & L. Lambertini & G. Leitmann & A. Palestini, 2009. "A Stochastic Optimal Control Model of Pollution Abatement," Working Papers 681, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Cronshaw, Mark B & Brown-Kruse, Jamie, 1996. "Regulated Firms in Pollution Permit Markets with Banking," Journal of Regulatory Economics, Springer, vol. 9(2), pages 179-189, March.
    10. Jung, Chulho & Krutilla, Kerry & Boyd, Roy, 1996. "Incentives for Advanced Pollution Abatement Technology at the Industry Level: An Evaluation of Policy Alternatives," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 95-111, January.
    11. Daniel Phaneuf & Till Requate, 2002. "Incentives for Investment in Advanced Pollution Abatement Technology in Emission Permit Markets with Banking," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(3), pages 369-390, July.
    12. Juan-Pablo Montero, 1999. "Voluntary Compliance with Market-Based Environmental Policy: Evidence from the U.S. Acid Rain Program," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 998-1033, October.
    13. Godby, Robert W. & Mestelman, Stuart & Muller, R. Andrew & Welland, J. Douglas, 1997. "Emissions Trading with Shares and Coupons when Control over Discharges Is Uncertain," Journal of Environmental Economics and Management, Elsevier, vol. 32(3), pages 359-381, March.
    14. Adam Jaffe & Richard Newell & Robert Stavins, 2002. "Environmental Policy and Technological Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(1), pages 41-70, June.
    15. Rubin, Jonathan D., 1996. "A Model of Intertemporal Emission Trading, Banking, and Borrowing," Journal of Environmental Economics and Management, Elsevier, vol. 31(3), pages 269-286, November.
    16. Rubin Jonathan & Kling Catherine, 1993. "An Emission Saved Is an Emission Earned: An Empirical Study of Emission Banking for Light-Duty Vehicle Manufacturers," Journal of Environmental Economics and Management, Elsevier, vol. 25(3), pages 257-274, November.
    17. Requate, Till & Unold, Wolfram, 2003. "Environmental policy incentives to adopt advanced abatement technology:: Will the true ranking please stand up?," European Economic Review, Elsevier, vol. 47(1), pages 125-146, February.
    18. Milliman, Scott R. & Prince, Raymond, 1989. "Firm incentives to promote technological change in pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 17(3), pages 247-265, November.
    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. Dongdong Li, 2022. "Dynamic optimal control of firms' green innovation investment and pricing strategies with environmental awareness and emission tax," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(4), pages 920-932, June.
    2. Chen, Anping & Groenewold, Nicolaas, 2015. "Emission reduction policy: A regional economic analysis for China," Economic Modelling, Elsevier, vol. 51(C), pages 136-152.
    3. Shi, Beibei & Jiang, Lisha & Bao, Rui & Zhang, Ziqing & Kang, YuanQi, 2023. "The impact of insurance on pollution emissions: Evidence from China's environmental pollution liability insurance," Economic Modelling, Elsevier, vol. 121(C).
    4. Ni, Jian & Huang, Hongzhi & Wang, Peipei & Zhou, Wei, 2020. "Capacity investment and green R&D in a dynamic oligopoly under the potential shift in environmental damage," Economic Modelling, Elsevier, vol. 88(C), pages 312-319.
    5. Nkuiya, Bruno, 2020. "Tradeoffs between costly capacity investment and risk of regime shift," Economic Modelling, Elsevier, vol. 91(C), pages 117-127.

    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. Park, Hojeong, 2012. "Real option analysis for effects of emission permit banking on investment under abatement cost uncertainty," Economic Modelling, Elsevier, vol. 29(4), pages 1314-1321.
    2. Daniel Phaneuf & Till Requate, 2002. "Incentives for Investment in Advanced Pollution Abatement Technology in Emission Permit Markets with Banking," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(3), pages 369-390, July.
    3. Richard Newell & William Pizer & Jiangfeng Zhang, 2005. "Managing Permit Markets to Stabilize Prices," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 31(2), pages 133-157, June.
    4. Feng, Hongli & Zhao, Jinhua, 2006. "Alternative intertemporal permit trading regimes with stochastic abatement costs," Resource and Energy Economics, Elsevier, vol. 28(1), pages 24-40, January.
    5. Zaklan, Aleksandar & Ellerman, Denny & Valero, Vanessa, 2015. "An Analysis of Allowance Banking in the EU ETS," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113034, Verein für Socialpolitik / German Economic Association.
    6. Li, Shoude, 2013. "Emission permit banking, pollution abatement and production–inventory control of the firm," International Journal of Production Economics, Elsevier, vol. 146(2), pages 679-685.
    7. Considine, Timothy J. & Larson, Donald F., 2006. "The environment as a factor of production," Journal of Environmental Economics and Management, Elsevier, vol. 52(3), pages 645-662, November.
    8. Slechten, Aurélie, 2013. "Intertemporal links in cap-and-trade schemes," Journal of Environmental Economics and Management, Elsevier, vol. 66(2), pages 319-336.
    9. Innes, Robert, 2003. "Stochastic pollution, costly sanctions, and optimality of emission permit banking," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 546-568, May.
    10. Ian Mackenzie & Nick Hanley & Tatiana Kornienko, 2008. "The optimal initial allocation of pollution permits: a relative performance approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(3), pages 265-282, March.
    11. Schennach, Susanne M., 2000. "The Economics of Pollution Permit Banking in the Context of Title IV of the 1990 Clean Air Act Amendments," Journal of Environmental Economics and Management, Elsevier, vol. 40(3), pages 189-210, November.
    12. Martin Larsson, 2017. "EU Emissions Trading: Policy-Induced Innovation, or Business as Usual? Findings from Company Case Studies in the Republic of Croatia," Working Papers 1705, The Institute of Economics, Zagreb.
    13. Kling, Catherine & Rubin, Jonathan, 1997. "Bankable permits for the control of environmental pollution," Journal of Public Economics, Elsevier, vol. 64(1), pages 101-115, April.
    14. Juan-Pablo Montero, 2002. "The Temporal Efficiency of SO2 Emissions Trading," Documentos de Trabajo 225, Instituto de Economia. Pontificia Universidad Católica de Chile..
    15. Stranlund, John K. & Murphy, James J. & Spraggon, John M., 2014. "Price controls and banking in emissions trading: An experimental evaluation," Journal of Environmental Economics and Management, Elsevier, vol. 68(1), pages 71-86.
    16. Fell, Harrison & MacKenzie, Ian A. & Pizer, William A., 2012. "Prices versus quantities versus bankable quantities," Resource and Energy Economics, Elsevier, vol. 34(4), pages 607-623.
    17. Aude Pommeret & Katheline Schubert, 2018. "Intertemporal Emission Permits Trading Under Uncertainty and Irreversibility," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(1), pages 73-97, September.
    18. Dagmar Nelissen & Till Requate, 2007. "Pollution-reducing and resource-saving technological progress," International Journal of Agricultural Resources, Governance and Ecology, Inderscience Enterprises Ltd, vol. 6(1), pages 5-44.
    19. Mehdi Fadaee & Luca Lambertini, 2015. "Non-tradeable pollution permits as green R&D incentives," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 17(1), pages 27-42, January.
    20. Requate, Till, 2005. "Dynamic incentives by environmental policy instruments--a survey," Ecological Economics, Elsevier, vol. 54(2-3), pages 175-195, August.

    More about this item

    Keywords

    Environmental externalities; Pollution abatement; Emissions permit banking;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

    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:eee:ecmode:v:36:y:2014:i:c:p:363-369. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    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.