IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/hal-00673317.html
   My bibliography  Save this paper

Optimal Use of a Polluting Non-Renewable Resource Generating both Manageable and Catastrophic Damages

Author

Listed:
  • Jean-Pierre Amigues
  • Michel Moreaux
  • Katheline Schubert

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We consider a model with two energy sources, a non-renewable one, cheap but polluting, and a renewable one, expensive but clean, let's say coal and solar. The aim of environmental policy is to maintain atmospheric carbon concentration under a given ceiling, chosen to prevent an excessive rise of the temperature and catastrophic damages. Before the ceiling damages exist but remain small, hence manageable. We show first that costs matter a lot. Whatever abundant or rare, if solar is more expensive than coal at the ceiling, it will never be used before the end of the phase at the ceiling, when coal becomes so scarce that the ceiling will never be reached again. On the contrary, if solar is less expensive than coal at the ceiling, it may even be sufficiently cheap to be exploited before the ceiling, in which case first coal is exploited alone, next both resources are used together before, at and after the ceiling, and finally solar is exploited alone, after the exhaustion of coal. Second, the carbon shadow value is first increasing until the ceiling is reached, next decreasing during the phase at the ceiling, and finally is stabilized at a constant level after the ceiling. The initial carbon shadow cost is an increasing function of the value of the marginal damage, and a decreasing function of the ceiling. Lastly, contrary to intuition, higher marginal damages and/or a lower ceiling induce a delay in the penetration of solar and also a delay in the transition towards a totally clean energy.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Jean-Pierre Amigues & Michel Moreaux & Katheline Schubert, 2011. "Optimal Use of a Polluting Non-Renewable Resource Generating both Manageable and Catastrophic Damages," PSE-Ecole d'économie de Paris (Postprint) hal-00673317, HAL.
    • Handle: RePEc:hal:pseptp:hal-00673317
    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. repec:adr:anecst:y:2006:i:81:p:06 is not listed on IDEAS
    2. Hoel, Michael & Kverndokk, Snorre, 1996. "Depletion of fossil fuels and the impacts of global warming," Resource and Energy Economics, Elsevier, vol. 18(2), pages 115-136, June.
    3. Hans-Werner Sinn, 2008. "Public policies against global warming: a supply side approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 360-394, August.
    4. Chakravorty, Ujjayant & Magne, Bertrand & Moreaux, Michel, 2006. "A Hotelling model with a ceiling on the stock of pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2875-2904, December.
    5. Ulph, Alistair & Ulph, David, 1994. "The Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 857-868, Supplemen.
    6. Farzin, Y H & Tahvonen, O, 1996. "Global Carbon Cycle and the Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 515-536, October.
    7. Toman, Michael A. & Withagen, Cees, 2000. "Accumulative pollution, "clean technology," and policy design," Resource and Energy Economics, Elsevier, vol. 22(4), pages 367-384, October.
    8. Ujjayant Chakravorty & Bertrand Magne & Michel Moreaux, 2006. "Plafond de concentration en carbone et substitutions entre ressources énergétiques," Annals of Economics and Statistics, GENES, issue 81, pages 141-168.
    9. Olli Tahvonen, 1997. "Fossil Fuels, Stock Externalities, and Backstop Technology," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 855-874, 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. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2012. "Optimal Timing of Carbon Capture Policies Under Alternative CCS Cost Functions," TSE Working Papers 12-318, Toulouse School of Economics (TSE).
    2. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2014. "Optimal Timing of Carbon Capture and Storage Policies Under Learning-by-doing," IDEI Working Papers 824, Institut d'Économie Industrielle (IDEI), Toulouse, revised May 2014.
    3. Lafforgue, Gilles & Lorang, Etienne, 2022. "Recycling under environmental, climate and resource constraints," Resource and Energy Economics, Elsevier, vol. 67(C).
    4. Amigues, Jean-Pierre & Moreaux, Michel, 2013. "Optimal growth under a climate constraint," IDEI Working Papers 798, Institut d'Économie Industrielle (IDEI), Toulouse.
    5. Rémy Dullieux & Lionel Ragot & Katheline Schubert, 2011. "Carbon Tax and OPEC’s Rents Under a Ceiling Constraint," Scandinavian Journal of Economics, Wiley Blackwell, vol. 113(4), pages 798-824, December.
    6. Amigues, Jean-Pierre & Moreaux, Michel, 2013. "The atmospheric carbon resilience problem: A theoretical analysis," Resource and Energy Economics, Elsevier, vol. 35(4), pages 618-636.
    7. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2014. "Optimal Timing of CCS Policies under Decreasing Returns to Scale," TSE Working Papers 14-529, Toulouse School of Economics (TSE).
    8. Moreaux, Michel & Amigues, Jean-Pierre & van der Meijden, Gerard & Withagen, Cees, 2024. "Carbon capture: Storage vs. Utilization," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    9. Jean-François Fagnart & Marc Germain & Benjamin Peeters, 2020. "Can the Energy Transition Be Smooth? A General Equilibrium Approach to the EROEI," Sustainability, MDPI, vol. 12(3), pages 1-29, February.
    10. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2016. "Optimal timing of carbon capture policies under learning-by-doing," Journal of Environmental Economics and Management, Elsevier, vol. 78(C), pages 20-37.
    11. Jean-Pierre Amigues & Gilles Lafforgue & Michel Moreaux, 2014. "Optimal Timing of CCS Policies with Heterogeneous Energy Consumption Sectors," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 57(3), pages 345-366, March.
    12. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2017. "Sustainable growth and environmental catastrophes," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 83-91.
    13. Jean-François Fagnart & Marc Germain, 2015. "Can the Energy Transition Be Smooth?," Working Papers 2015.04, FAERE - French Association of Environmental and Resource Economists.
    14. Germain, Marc, 2020. "Limits to growth and structural change," Structural Change and Economic Dynamics, Elsevier, vol. 55(C), pages 204-221.
    15. Thomas Eichner & Gilbert Kollenbach & Mark Schopf, 2023. "Demand- Versus Supply-Side Climate Policies with a Carbon Dioxide Ceiling," The Economic Journal, Royal Economic Society, vol. 133(652), pages 1371-1406.
    16. Marc Germain, 2020. "Limits to growth and structural change," Post-Print hal-03129992, HAL.

    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. Amigues, Jean-Pierre & Moreaux, Michel, 2013. "The atmospheric carbon resilience problem: A theoretical analysis," Resource and Energy Economics, Elsevier, vol. 35(4), pages 618-636.
    2. Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2008. "A dynamic model of food and clean energy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1181-1203, April.
    3. Moreaux, Michel & Withagen, Cees, 2015. "Optimal abatement of carbon emission flows," Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 55-70.
    4. Grimaud, André & Lafforgue, Gilles & Magné, Bertrand, 2011. "Climate change mitigation options and directed technical change: A decentralized equilibrium analysis," Resource and Energy Economics, Elsevier, vol. 33(4), pages 938-962.
    5. Pauli Lappi & Markku Ollikainen, 2019. "Optimal Environmental Policy for a Mine Under Polluting Waste Rocks and Stock Pollution," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 73(1), pages 133-158, May.
    6. Hoel, Michael & Jensen, Svenn, 2012. "Cutting costs of catching carbon—Intertemporal effects under imperfect climate policy," Resource and Energy Economics, Elsevier, vol. 34(4), pages 680-695.
    7. Michael Hoel, 2011. "The Supply Side of CO 2 with Country Heterogeneity," Scandinavian Journal of Economics, Wiley Blackwell, vol. 113(4), pages 846-865, December.
    8. van der Ploeg, Frederick & Withagen, Cees, 2012. "Too much coal, too little oil," Journal of Public Economics, Elsevier, vol. 96(1), pages 62-77.
    9. Kollenbach, Gilbert, 2017. "Unilateral climate Policy and the Green Paradox: Extraction Costs matter," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168245, Verein für Socialpolitik / German Economic Association.
    10. Hoel, Michael, 2013. "Supply Side Climate Policy and the Green Paradox," Memorandum 03/2013, Oslo University, Department of Economics.
    11. Grimaud, André & Rouge, Luc, 2014. "Carbon sequestration, economic policies and growth," Resource and Energy Economics, Elsevier, vol. 36(2), pages 307-331.
    12. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2014. "Optimal Timing of Carbon Capture and Storage Policies Under Learning-by-doing," IDEI Working Papers 824, Institut d'Économie Industrielle (IDEI), Toulouse, revised May 2014.
    13. Michael Hoel, 2008. "Bush Meets Hotelling: Effects of Improved Renewable Energy Technology on Greenhouse Gas Emissions," CESifo Working Paper Series 2492, CESifo.
    14. Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2003. "From Coal to Clean Energy : Hotelling with a Limit on the Stock of Externalities," IDEI Working Papers 229, Institut d'Économie Industrielle (IDEI), Toulouse.
    15. van der Werf, Edwin & Di Maria, Corrado, 2012. "Imperfect Environmental Policy and Polluting Emissions: The Green Paradox and Beyond," International Review of Environmental and Resource Economics, now publishers, vol. 6(2), pages 153-194, March.
    16. Chakravorty, Ujjayant & Magne, Bertrand & Moreaux, Michel, 2006. "A Hotelling model with a ceiling on the stock of pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2875-2904, December.
    17. Jean-Pierre Amigues & Gilles Lafforgue & Michel Moreaux, 2014. "Optimal Timing of CCS Policies with Heterogeneous Energy Consumption Sectors," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 57(3), pages 345-366, March.
    18. Prieur, Fabien & Tidball, Mabel & Withagen, Cees, 2013. "Optimal emission-extraction policy in a world of scarcity and irreversibility," Resource and Energy Economics, Elsevier, vol. 35(4), pages 637-658.
    19. Moreaux, Michel & Withagen, Cees, 2013. "Climate Change and Carbon Capture and Storage," TSE Working Papers 13-393, Toulouse School of Economics (TSE).
    20. Amigues, Jean-Pierre & Lafforgue, Gilles & Moreaux, Michel, 2012. "Optimal Timing of Carbon Capture Policies Under Alternative CCS Cost Functions," TSE Working Papers 12-318, Toulouse School of Economics (TSE).

    More about this item

    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:hal:pseptp:hal-00673317. 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: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.