[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01280775.html
   My bibliography  Save this paper

Optimal emission policy under the risk of irreversible pollution

Author

Listed:
  • Alain Ayong Le Kama

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

  • Aude Pommeret

    (IREGE - Institut de Recherche en Gestion et en Economie - USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc)

  • Fabien Prieur

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract
We consider an optimal consumption and pollution problem that has two important features. Environmental damages due to economic activities may be irreversible and the level at which the degradation becomes irreversible is unknown. Particular attention is paid to the situation where agents are relatively impatient and/or do not care a lot about the environment and/or Nature regenerates at low rate. We show that the optimal policy of the uncertain problem drives the economy in the long run toward a steady state while, when ignoring irreversibility, the economy follows a balanced growth path accompanied by a perpetual decrease in environmental quality and consumption, both asymptotically converging toward zero. Therefore, accounting for the risk of irreversibility induces more conservative decisions regarding consumption and polluting emissions. In general, however, we cannot rule out situations where the economy will optimally follow an irreversible path and consequently, will also be left, in the long run, with an irreversibly degraded environment.

Suggested Citation

  • Alain Ayong Le Kama & Aude Pommeret & Fabien Prieur, 2014. "Optimal emission policy under the risk of irreversible pollution," Post-Print hal-01280775, HAL.
  • Handle: RePEc:hal:journl:hal-01280775
    DOI: 10.1111/jpet.12085
    Note: View the original document on HAL open archive server: https://hal.univ-grenoble-alpes.fr/hal-01280775
    as

    Download full text from publisher

    File URL: https://hal.univ-grenoble-alpes.fr/hal-01280775/document
    Download Restriction: no

    File URL: https://libkey.io/10.1111/jpet.12085?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fabien Prieur, 2009. "The environmental Kuznets curve in a world of irreversibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 57-90, July.
    2. Smith, William T., 1999. "Risk, the Spirit of Capitalism and Growth: The Implications of a Preference for Capital," Journal of Macroeconomics, Elsevier, vol. 21(2), pages 241-262, April.
    3. Pommeret, Aude & Schubert, Katheline, 2009. "Abatement Technology Adoption Under Uncertainty," Macroeconomic Dynamics, Cambridge University Press, vol. 13(4), pages 493-522, September.
    4. 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.
    5. Alain Le Kama & Katheline Schubert, 2004. "Growth, Environment and Uncertain Future Preferences," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(1), pages 31-53, May.
    6. Alain Ayong Le Kama, 2001. "Preservation and exogenous uncertain future preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 745-752.
    7. Raymond Gradus & Sjak Smulders, 1993. "The trade-off between environmental care and long-term growth—Pollution in three prototype growth models," Journal of Economics, Springer, vol. 58(1), pages 25-51, February.
    8. Fabien Prieur & Mabel Tidball & Cees Withagen, 2013. "Optimal extraction-emission policy in a world of scarcity and irreversibility," Post-Print hal-01549824, HAL.
    9. Tsur, Yacov & Zemel, Amos, 1996. "Accounting for global warming risks: Resource management under event uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1289-1305.
    10. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    11. Comolli, Paul M., 1977. "Pollution control in a simplified general-equilibrium model with production externalities," Journal of Environmental Economics and Management, Elsevier, vol. 4(4), pages 289-304, December.
    12. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
    13. Forster, Bruce A., 1975. "Optimal pollution control with a nonconstant exponential rate of decay," Journal of Environmental Economics and Management, Elsevier, vol. 2(1), pages 1-6, September.
    14. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    15. Debreu, Gerard, 1976. "Least concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 121-129, July.
    16. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    17. Cropper, M. L., 1976. "Regulating activities with catastrophic environmental effects," Journal of Environmental Economics and Management, Elsevier, vol. 3(1), pages 1-15, June.
    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. Brausmann, Alexandra & Bretschger, Lucas, 2018. "Economic development on a finite planet with stochastic soil degradation," European Economic Review, Elsevier, vol. 108(C), pages 1-19.
    2. Raouf Boucekkine & Carmen Camacho & Weihua Ruan & Benteng Zou, 2022. "A dynamic programming approach to optimal pollution control under uncertain irreversibility: The Poisson case," DEM Discussion Paper Series 22-10, Department of Economics at the University of Luxembourg.
    3. Anne‐Sophie Crépin & Eric Nævdal, 2020. "Inertia Risk: Improving Economic Models of Catastrophes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(4), pages 1259-1285, October.
    4. Alain Ayong Le Kama & Aude Pommeret, 2017. "Supplementing Domestic Mitigation and Adaptation with Emissions Reduction Abroad to Face Climate Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(4), pages 875-891, December.
    5. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2017. "Sustainable growth and environmental catastrophes," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 83-91.
    6. Fouad El Ouardighi & Hassan Benchekroun & Dieter Grass, 2016. "Self-regenerating environmental absorption efficiency and the $$\varvec{ soylent~green~scenario}$$ s o y l e n t g r e e n s c e n a r i o," Annals of Operations Research, Springer, vol. 238(1), pages 179-198, March.
    7. 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.
    8. R.Boucekkine & W.Ruan & B.Zou, 2024. "Optimal behavior under pollution irreversibility risk and distance to the irreversibility thresholds: A global approach," LIDAM Discussion Papers IRES 2024001, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    9. Pommeret, Aude & Yu, Xiaojun & Zhang, Lin, 2022. "Stringency of environmental policy in China: When pollution drives bribery," Economic Modelling, Elsevier, vol. 117(C).
    10. Prudence Dato, 2017. "Energy Transition Under Irreversibility: A Two-Sector Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(3), pages 797-820, November.
    11. Raoul Boucekkine & Weiha Ruan & Benteng Zou, 2023. "Optimal behavior under pollution irreversibility risk and distance to the irreversibility thresholds: A global approach," DEM Discussion Paper Series 23-16, Department of Economics at the University of Luxembourg.
    12. Juana AZNAR-MARQUEZ & Jose-Ramon RUIZ-TAMARIT, 2012. "Sufficient and Necessary Conditions for Non-Catastrophic Growth," LIDAM Discussion Papers IRES 2012027, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    13. Guo, Jian-Xin & Zhu, Kaiwei, 2021. "Implications for enterprise to adopt cleaner technology: From the perspective of energy market and commodity market," Research in International Business and Finance, Elsevier, vol. 57(C).
    14. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2016. "Environmental pollution, sustained growth, and sufficient conditions for sustainable development," Economic Modelling, Elsevier, vol. 54(C), pages 439-449.

    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. Prudence Dato, 2017. "Energy Transition Under Irreversibility: A Two-Sector Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(3), pages 797-820, November.
    2. Juana AZNAR-MARQUEZ & Jose-Ramon RUIZ-TAMARIT, 2012. "Sufficient and Necessary Conditions for Non-Catastrophic Growth," LIDAM Discussion Papers IRES 2012027, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    3. Fabien Prieur, 2009. "The environmental Kuznets curve in a world of irreversibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 57-90, July.
    4. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2017. "Sustainable growth and environmental catastrophes," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 83-91.
    5. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2016. "Environmental pollution, sustained growth, and sufficient conditions for sustainable development," Economic Modelling, Elsevier, vol. 54(C), pages 439-449.
    6. Fouad El Ouardighi & Hassan Benchekroun & Dieter Grass, 2016. "Self-regenerating environmental absorption efficiency and the $$\varvec{ soylent~green~scenario}$$ s o y l e n t g r e e n s c e n a r i o," Annals of Operations Research, Springer, vol. 238(1), pages 179-198, March.
    7. Raouf BOUCEKKINE & Blanca MARTINEZ & José Ramon RUIZ-TAMARIT, 2013. "Optimal sustainable policies under pollution ceiling: the demographic side," LIDAM Discussion Papers IRES 2013028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    8. Jin, Wei, 2021. "Path dependence, self-fulfilling expectations, and carbon lock-in," Resource and Energy Economics, Elsevier, vol. 66(C).
    9. 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.
    10. Amigues, Jean-Pierre & Moreaux, Michel, 2012. "Potential Irreversible Catastrophic Shifts of the Assimilative Capacity of the Environment," IDEI Working Papers 697, Institut d'Économie Industrielle (IDEI), Toulouse.
    11. van der Ploeg, Frederick, 2014. "Abrupt positive feedback and the social cost of carbon," European Economic Review, Elsevier, vol. 67(C), pages 28-41.
    12. Stefano Bosi & David Desmarchelier & Lionel Ragot, 2015. "Preferences and pollution cycles," Working Papers hal-04141382, HAL.
    13. Donatella Baiardi & Mario Menegatti, 2011. "Pigouvian tax, abatement policies and uncertainty on the environment," Journal of Economics, Springer, vol. 103(3), pages 221-251, July.
    14. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers halshs-00793200, HAL.
    15. Ayong Le Kama, Alain & Fodha, Mouez & Lafforgue, Gilles, 2009. "Optimal Carbon Capture and Storage Policies," TSE Working Papers 09-095, Toulouse School of Economics (TSE).
    16. Erin Cottle Hunt & Frank N. Caliendo, 2024. "Dynamic Optimization with Timing Risk," Mathematics, MDPI, vol. 12(17), pages 1-18, August.
    17. Xepapadeas, Anastasios, 2005. "Economic growth and the environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 23, pages 1219-1271, Elsevier.
    18. Bonneuil, N. & Boucekkine, R., 2016. "Optimal transition to renewable energy with threshold of irreversible pollution," European Journal of Operational Research, Elsevier, vol. 248(1), pages 257-262.
    19. Mosiño, Alejandro & Pommeret, Aude, 2015. "Switching to clean(er) technologies in a stochastic environment," MPRA Paper 83841, University Library of Munich, Germany.
    20. van der Ploeg, Frederick, 2014. "Abrupt positive feedback and the social cost of carbon," European Economic Review, Elsevier, vol. 67(C), pages 28-41.

    More about this item

    Keywords

    irreversibility threshold; Optimal control; optimal reversible and irreversible policy; uncertainty;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming
    • Q58 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Government Policy

    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:journl:hal-01280775. 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: CCSD (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.