IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v32y2008i12p3847-3865.html
   My bibliography  Save this article

The optimal carbon sequestration in agricultural soils: Do the dynamics of the physical process matter?

Author

Listed:
  • Ragot, Lionel
  • Schubert, Katheline

Abstract

The Kyoto Protocol, which came into force in February 2005, allows countries to resort to 'supplementary activities', consisting particularly in carbon sequestration in agricultural soils. Existing papers studying the optimal carbon sequestration recognize the importance of the temporality of sequestration, but overlook the fact that it is an asymmetric dynamic process. This paper takes explicitly into account the temporality of sequestration. Its first contribution lies in the modelling of the asymmetry of the sequestration/de-sequestration process at a micro level, and of its consequences at a macro level. Its second contribution is empirical. We compute numerically the optimal path of sequestration/de-sequestration for specific damage and cost functions, and a calibration that mimics roughly the world conditions. We show that with these assumptions sequestration must be permanent, and that the error made when sequestration is supposed immediate can be very significant.

Suggested Citation

  • Ragot, Lionel & Schubert, Katheline, 2008. "The optimal carbon sequestration in agricultural soils: Do the dynamics of the physical process matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3847-3865, December.
  • Handle: RePEc:eee:dyncon:v:32:y:2008:i:12:p:3847-3865
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(08)00062-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tomiyama, Ken & Rossana, Robert J., 1989. "Two-stage optimal control problems with an explicit switch point dependence : Optimality criteria and an example of delivery lags and investment," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 319-337, July.
    2. Feng, Hongli & Zhao, Jinhua & Kling, Catherine L., 2002. "Time Path and Implementation of Carbon Sequestration (The)," Staff General Research Papers Archive 5068, Iowa State University, Department of Economics.
    3. Huseyin cagri SAGLAM, 2002. "Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach," LIDAM Discussion Papers IRES 2002031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    4. M. I. Kamien & E. Muller, 1976. "Optimal Control with Integral State Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 469-473.
    5. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, 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. Carmen Camacho & Agustín Pérez-Barahona, 2012. "Land use dynamics and the environment," Post-Print halshs-00674020, HAL.
    2. Camacho, Carmen & Pérez-Barahona, Agustín, 2015. "Land use dynamics and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 96-118.
    3. Madhu Khanna & Amy Ando, 2009. "Science, economics and the design of agricultural conservation programmes in the US," Journal of Environmental Planning and Management, Taylor & Francis Journals, vol. 52(5), pages 575-592.
    4. Mireille Chiroleu-Assouline & Sébastien Roussel, 2010. "Contract Design to Sequester Carbon in Agricultural Soils," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00505137, HAL.
    5. 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).
    6. Mireille Chiroleu-Assouline & Sebastien Roussel, 2014. "Payments for Carbon Sequestration in Agricultural Soils: Incentives for the Future and Rewards for the Past," CEEES Paper Series CE3S-01/14, European University at St. Petersburg, Department of Economics.
    7. Yusuke Kuwayama & Nicholas Brozović, 2017. "Optimal Management of Environmental Externalities with Time Lags and Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(3), pages 473-499, November.
    8. Sharma, Bijay P. & Khanna, Madhu & Miao, Ruiqing, 2022. "Designing Efficient Payments to Incentivize GHG Mitigation Using Energy Crops," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322361, Agricultural and Applied Economics Association.
    9. Alejandro Caparrós & David Zilberman, 2010. "Optimal carbon sequestration path when different biological or physical sequestration," Working Papers 1018, Instituto de Políticas y Bienes Públicos (IPP), CSIC.
    10. Fernández-Getino, A.P. & Alonso-Prados, J.L. & Santín-Montanyá, M.I., 2018. "Challenges and prospects in connectivity analysis in agricultural systems: Actions to implement policies on land management and carbon storage at EU level," Land Use Policy, Elsevier, vol. 71(C), pages 146-159.

    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. Huseyin cagri SAGLAM, 2002. "Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach," LIDAM Discussion Papers IRES 2002031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    2. Dogan, Erol & Le Van, Cuong & Saglam, Cagri, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 97-103, March.
    3. R. Boucekkine & H.C. Saglam & T. Vallee, 2002. "Optimal switching time of technologies," Computing in Economics and Finance 2002 64, Society for Computational Economics.
    4. Boucekkine, Raouf & Saglam, Cagri & Valléee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
    5. Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
    6. Seidl, Andrea & Caulkins, Jonathan P. & Hartl, Richard F. & Kort, Peter M., 2018. "Serious strategy for the makers of fun: Analyzing the option to switch from pay-to-play to free-to-play in a two-stage optimal control model with quadratic costs," European Journal of Operational Research, Elsevier, vol. 267(2), pages 700-715.
    7. Dieter Grass & Richard F. Hartl & Peter M. Kort, 2012. "Capital Accumulation and Embodied Technological Progress," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 588-614, August.
    8. Thorsten Upmann & Stefan Behringer, 2017. "Harvesting a Remote Renewable Resource," CESifo Working Paper Series 6724, CESifo.
    9. Seidl, Andrea, 2019. "Zeno points in optimal control models with endogenous regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 353-368.
    10. Camacho, Carmen & Hassan, Waleed, 2023. "The dynamics of revolution: Discrimination, social unrest and the optimal timing of revolution," Economic Modelling, Elsevier, vol. 128(C).
    11. Alejandro Caparrós & David Zilberman, 2010. "Optimal carbon sequestration path when different biological or physical sequestration," Working Papers 1018, Instituto de Políticas y Bienes Públicos (IPP), CSIC.
    12. Vallée, Thomas & Moreno-Galbis, Eva, 2011. "Optimal time switching from tayloristic to holistic workplace organization," Structural Change and Economic Dynamics, Elsevier, vol. 22(3), pages 238-246, September.
    13. Carmen Camacho & Waleed Hassan, 2023. "People Get Ready: Optimal timing of Revolution," PSE Working Papers halshs-03372991, HAL.
    14. Stefan Wrzaczek & Michael Kuhn & Ivan Frankovic, 2020. "Using Age Structure for a Multi-stage Optimal Control Model with Random Switching Time," Journal of Optimization Theory and Applications, Springer, vol. 184(3), pages 1065-1082, March.
    15. Carmen Camacho & Waleed Hassan, 2023. "People Get Ready: Optimal timing of Revolution," Working Papers halshs-03372991, HAL.
    16. Johan Gustafsson, 2021. "Age-Targeted Income Taxation, Labor Supply, and Retirement," CESifo Working Paper Series 8988, CESifo.
    17. Mauro Bambi & Daria Ghilli & Fausto Gozzi & Marta Leocata, 2021. "Habits and demand changes after COVID-19," Papers 2107.00909, arXiv.org, revised Mar 2022.
    18. Daria Onori, 2015. "Optimal Growth and Debt Dynamics under GDP-Based Collaterals," Working Papers halshs-01251352, HAL.
    19. Freixas, Xavier & Gabillon, Emmanuelle, 1999. "Optimal Regulation of a Fully Insured Deposit Banking System," Journal of Regulatory Economics, Springer, vol. 16(2), pages 111-134, September.
    20. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2013. "When to make proprietary software open source," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1182-1194.

    More about this item

    Keywords

    Environment Agriculture Carbon sequestration Kyoto Protocol Optimal control;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment

    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:dyncon:v:32:y:2008:i:12:p:3847-3865. 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/jedc .

    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.