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Forest harvest scheduling with clearcut and core area constraints

Author

Listed:
  • Teresa Neto

    (Instituto Politécnico de Viseu)

  • Miguel Constantino

    (Universidade de Lisboa)

  • Isabel Martins

    (Universidade de Lisboa)

  • João Pedro Pedroso

    (Universidade do Porto)

Abstract

Many studies regarding environmental concerns in forest harvest scheduling problems deal with constraints on the maximum clearcut size. However, these constraints tend to disperse harvests across the forest and thus to generate a more fragmented landscape. When a forest is fragmented, the amount of edge increases at the expense of the core area. Highly fragmented forests can neither provide the food, cover, nor the reproduction needs of core-dependent species. This study presents a branch-and-bound procedure designed to find good feasible solutions, in a reasonable time, for forest harvest scheduling problems with constraints on maximum clearcut size and minimum core habitat area. The core area is measured by applying the concept of subregions. In each branch of the branch-and-bound tree, a partial solution leads to two children nodes, corresponding to the cases of harvesting or not a given stand in a given period. Pruning is based on constraint violations or unreachable objective values. The approach was tested with forests ranging from some dozens to more than a thousand stands. In general, branch-and-bound was able to quickly find optimal or good solutions, even for medium/large instances.

Suggested Citation

  • Teresa Neto & Miguel Constantino & Isabel Martins & João Pedro Pedroso, 2017. "Forest harvest scheduling with clearcut and core area constraints," Annals of Operations Research, Springer, vol. 258(2), pages 453-478, November.
    • Handle: RePEc:spr:annopr:v:258:y:2017:i:2:d:10.1007_s10479-016-2313-2
    DOI: 10.1007/s10479-016-2313-2
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    References listed on IDEAS

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    1. Miguel Constantino & Isabel Martins & José G. Borges, 2008. "A New Mixed-Integer Programming Model for Harvest Scheduling Subject to Maximum Area Restrictions," Operations Research, INFORMS, vol. 56(3), pages 542-551, June.
    2. Marcos Goycoolea & Alan T. Murray & Francisco Barahona & Rafael Epstein & Andrés Weintraub, 2005. "Harvest Scheduling Subject to Maximum Area Restrictions: Exploring Exact Approaches," Operations Research, INFORMS, vol. 53(3), pages 490-500, June.
    3. Isabel Martins & Filipe Alvelos & Miguel Constantino, 2012. "A branch-and-price approach for harvest scheduling subject to maximum area restrictions," Computational Optimization and Applications, Springer, vol. 51(1), pages 363-385, January.
    4. Vielma, Juan Pablo & Murray, Alan T. & Ryan, David M. & Weintraub, Andres, 2007. "Improving computational capabilities for addressing volume constraints in forest harvest scheduling problems," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1246-1264, January.
    5. Martins, Isabel & Constantino, Miguel & Borges, Jose G., 2005. "A column generation approach for solving a non-temporal forest harvest model with spatial structure constraints," European Journal of Operational Research, Elsevier, vol. 161(2), pages 478-498, March.
    6. Huizhen Zhang & Miguel Constantino & André Falcão, 2011. "Modeling forest core area with integer programming," Annals of Operations Research, Springer, vol. 190(1), pages 41-55, October.
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    Cited by:

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