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

The Kyoto Protocol, which came in 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 a dissymmetric dynamic process. This paper takes explicitly into account the temporality of sequestration. Its first contribution is technical : we solve an optimal control problem with two stages and a dissymmetric dynamic process. The second contribution is empirical : we show that the error made when sequestration is supposed immediate can be very significant, and we exhibit numerically the optimal path of sequestration /de-sequestration for specific benefit, damage and cost functions, and a calibration that mimics roughly the world conditions.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/V06040.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number v06040.

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Length: 27 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:mse:wpsorb:v06040
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  1. 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.
  2. Kamien, Morton I & Muller, E, 1976. "Optimal Control with Integral State Equations," Review of Economic Studies, Wiley Blackwell, vol. 43(3), pages 469-73, October.
  3. Feng, Hongli & Zhao, Jinhua & Kling, Catherine L., 2002. "Time Path and Implementation of Carbon Sequestration (The)," Staff General Research Papers 5068, Iowa State University, Department of Economics.
  4. 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.
  5. Huseyin cagri SAGLAM, 2002. "Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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