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Using the Escalator Boxcar Train to Determine the Optimal Management of a Size-Distributed Forest When Carbon Sequestration Is Taken into Account

  • Renan Goetz
  • Natali Hritonenko
  • Angels Xabadia
  • Yuri Yatsenko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)

Abstract

We present a theoretical model to determine the optimal management of a size-distributed forest.The decision model is given in form of a distributed optimal control problem that cannot be solved analytically. Thus, the paper presents a numerical technique that allows transforming the original distributed control problem into an ordinary control problem. The method has the advantage that it does not require programming numerical algorithms but rather can be implemented with standard commercial optimization packages such as GAMS. The empirical application of our model for the case of forest management allows determining the selective cutting regime when carbon sequestration is taken into account.

Keywords

Forest Management Optimal Control Problem Carbon Sequestration Planning Horizon Optimal Management 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Brooke, A., Kendrick, D., Meeraus, A.: GAMS: A User’s Guide, release 2.25. The Scientific Press, San Francisco (1992)Google Scholar
  2. 2.
    de Roos, A.: Numerical methods for structured population models: The Escalator Boxcar Train. Numer Methods Partial Diff. Equations 4, 173–195 (1988)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Feichtinger, G., Prskawetz, A., Veliov, V.: Age-structured optimal control in population economics. Theor. Pop. Biol. 65, 373–387 (2004)CrossRefzbMATHGoogle Scholar
  4. 4.
    Kennedy, J.: Uncertainty, irreversibility and the loss of agricultural land: a reconsideration. J. Agric. Econ. 38, 75–81 (1987)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Renan Goetz
    • 1
  • Natali Hritonenko
    • 2
  • Angels Xabadia
    • 1
  • Yuri Yatsenko
    • 3
  1. 1.Department of EconomicsUniversity of GironaGironaSpain
  2. 2.Department of MathematicsPrairie View A&M UniversityUSA
  3. 3.College of Business and EconomicsHouston Baptist UniversityHoustonUSA

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