IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01447849.html
   My bibliography  Save this paper

Optimal transition to renewable energy with threshold of irreversible pollution

Author

Listed:
  • Noël Bonneuil

    (EHESS - École des hautes études en sciences sociales, INED - Institut national d'études démographiques)

  • Raouf Boucekkine

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

When cheap fossil energy is polluting and pollutant no longer absorbed beyond a certain concentration, there is a moment when the introduction of a cleaner renewable energy, although onerous, is optimal with respect to inter-temporal utility. The cleaner technology is adopted either instantaneously or gradually at a controlled rate. The problem of optimum under viability constraints is 6-dimensional under a continuous-discrete dynamic controlled by energy consumption and investment into production of renewable energy. Viable optima are obtained either with gradual or with instantaneous adoption. A longer time horizon increases the probability of adoption of renewable energy and the time for starting this adoption. It also increases maximal utility and the probability to cross the threshold of irreversible pollution. Exploiting a renewable energy starts sooner when adoption is gradual rather than instantaneous. The shorter the period remaining after adoption until the time horizon, the higher the investment into renewable energy.

Suggested Citation

  • Noël Bonneuil & Raouf Boucekkine, 2016. "Optimal transition to renewable energy with threshold of irreversible pollution," Post-Print hal-01447849, HAL.
  • Handle: RePEc:hal:journl:hal-01447849
    Note: View the original document on HAL open archive server: https://hal-amu.archives-ouvertes.fr/hal-01447849
    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. William D. Nordhaus, 1973. "The Allocation of Energy Resources," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(3), pages 529-576.
    2. Hainaut, Donatien, 2014. "Impulse control of pension fund contributions, in a regime switching economy," European Journal of Operational Research, Elsevier, vol. 239(3), pages 810-819.
    3. Ujjayant Chakravorty & Michel Moreaux & Mabel Tidball, 2008. "Ordering the Extraction of Polluting Nonrenewable Resources," American Economic Review, American Economic Association, vol. 98(3), pages 1128-1144, June.
    4. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2013. "Technological vs. Ecological Switch and the Environmental Kuznets Curve," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 95(2), pages 252-260.
    5. 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.
    6. Boucekkine, R. & Pommeret, A. & Prieur, F., 2013. "Optimal regime switching and threshold effects," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2979-2997.
    7. Boucekkine, Raouf & Saglam, Cagri & Vallã©Ee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
    8. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
    9. Noël Bonneuil & Raouf Boucekkine, 2014. "Viable Ramsey economies," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 47(2), pages 422-441, May.
    10. repec:dau:papers:123456789/6869 is not listed on IDEAS
    11. Lukas, Elmar & Welling, Andreas, 2014. "Timing and eco(nomic) efficiency of climate-friendly investments in supply chains," European Journal of Operational Research, Elsevier, vol. 233(2), pages 448-457.
    12. 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.
    13. Bonneuil, Noel & Saint-Pierre, Patrick, 2008. "Beyond optimality: Managing children, assets, and consumption over the life cycle," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 227-241, February.
    14. Georgopoulou, E. & Sarafidis, Y. & Mirasgedis, S. & Zaimi, S. & Lalas, D. P., 2003. "A multiple criteria decision-aid approach in defining national priorities for greenhouse gases emissions reduction in the energy sector," European Journal of Operational Research, Elsevier, vol. 146(1), pages 199-215, April.
    15. Hoel, Michael & Karp, Larry, 2002. "Taxes versus quotas for a stock pollutant," Resource and Energy Economics, Elsevier, vol. 24(4), pages 367-384, November.
    16. Kowalski, Katharina & Stagl, Sigrid & Madlener, Reinhard & Omann, Ines, 2009. "Sustainable energy futures: Methodological challenges in combining scenarios and participatory multi-criteria analysis," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1063-1074, September.
    17. Lecuyer, Oskar & Vogt-Schilb, Adrien, 2014. "Optimal transition from coal to gas and renewable power under capacity constraints and adjustment costs," Policy Research Working Paper Series 6985, The World Bank.
    18. Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70.
    19. William D. Nordhaus, 1991. "The Cost of Slowing Climate Change: a Survey," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 37-66.
    20. Valente, Simone, 2011. "Endogenous Growth, Backstop Technology Adoption, And Optimal Jumps," Macroeconomic Dynamics, Cambridge University Press, vol. 15(3), pages 293-325, June.
    21. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    22. van der Ploeg, Frederick & Withagen, Cees, 2012. "Too much coal, too little oil," Journal of Public Economics, Elsevier, vol. 96(1), pages 62-77.
    23. Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
    24. 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. Barbosa, Luciana & Nunes, Cláudia & Rodrigues, Artur & Sardinha, Alberto, 2020. "Feed-in tariff contract schemes and regulatory uncertainty," European Journal of Operational Research, Elsevier, vol. 287(1), pages 331-347.
    2. Dmitry Gromov & Ekaterina Gromova, 2017. "On a Class of Hybrid Differential Games," Dynamic Games and Applications, Springer, vol. 7(2), pages 266-288, June.
    3. Noël Bonneuil & Raouf Boucekkine, 2016. "Viable Nash Equilibria in the Problem of Common Pollution," Working Papers halshs-01341983, HAL.
    4. Kollenbach, Gilbert, 2017. "On the optimal accumulation of renewable energy generation capacity," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 157-179.
    5. Jean-François Fagnart & Marc Germain & Benjamin Peeters, 2020. "Can the Energy Transition Be Smooth? A General Equilibrium Approach to the EROEI," Sustainability, MDPI, Open Access Journal, vol. 12(3), pages 1-29, February.
    6. Haichao Wang & Giulia Di Pietro & Xiaozhou Wu & Risto Lahdelma & Vittorio Verda & Ilkka Haavisto, 2018. "Renewable and Sustainable Energy Transitions for Countries with Different Climates and Renewable Energy Sources Potentials," Energies, MDPI, Open Access Journal, vol. 11(12), pages 1-32, December.
    7. Gärttner, Johannes & Flath, Christoph M. & Weinhardt, Christof, 2018. "Portfolio and contract design for demand response resources," European Journal of Operational Research, Elsevier, vol. 266(1), pages 340-353.

    More about this item

    Keywords

    Irreversibility; Multi-stage optimal control; Non-renewable resources; Threshold effects; Viability;

    JEL classification:

    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • Q53 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Air Pollution; Water Pollution; Noise; Hazardous Waste; Solid Waste; Recycling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

    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-01447849. 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: (CCSD). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.