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Optimizing forest planning: Balancing timber production and carbon sequestration through a multi-objective disjunctive formulation

Author

Listed:
  • Piedra-Jimenez, Frank
  • Broz, Diego
  • Novas, Juan M.
  • Grossmann, Ignacio E.
  • Rodriguez, Maria Analia

Abstract

This work introduces a multi-objective model for the Forest Planning Problem (FPP), designed to optimize forest management by determining the best combination of silvicultural treatments, land harvesting proportions, net carbon sequestration, and timber flow. Using Generalized Disjunctive Programming (GDP), the model addresses two conflicting objectives: maximizing net present value and maximizing CO2 sequestration, while accounting for carbon sequestration losses from third parties. The model is reformulated as a mixed-integer linear programming (MILP) problem using both Hull reformulation and Big-M reformulation and validated with data from a forest company in Misiones, Argentina. Results show that increasing forest area reduces reliance on external timber, and that stand characteristics and diverse prescriptions are more effective for improving CO2 sequestration than simply expanding forest area. Additionally, the Hull reformulation proves more robust for complex problems, while Big-M is advantageous for simpler cases.

Suggested Citation

  • Piedra-Jimenez, Frank & Broz, Diego & Novas, Juan M. & Grossmann, Ignacio E. & Rodriguez, Maria Analia, 2025. "Optimizing forest planning: Balancing timber production and carbon sequestration through a multi-objective disjunctive formulation," Forest Policy and Economics, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:forpol:v:178:y:2025:i:c:s1389934125001546
    DOI: 10.1016/j.forpol.2025.103575
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    References listed on IDEAS

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    1. Egon Balas, 2018. "Disjunctive Programming and Its Relation to Integer Programming," Springer Books, in: Disjunctive Programming, chapter 0, pages 1-16, Springer.
    2. Binoti, Daniel Henrique Breda & Binoti, Mayra Luiza Marques da Silva & Leite, Helio Garcia & Gleriani, José Marinaldo & Campos, João Carlos Chagas, 2012. "Regulation of even-aged forest with adjacency constraints," Forest Policy and Economics, Elsevier, vol. 20(C), pages 49-57.
    3. Dong, Lingbo & Lu, Wei & Liu, Zhaogang, 2018. "Developing alternative forest spatial management plans when carbon and timber values are considered: A real case from northeastern China," Ecological Modelling, Elsevier, vol. 385(C), pages 45-57.
    4. Vergarechea, M. & Astrup, R. & Fischer, C. & Øistad, K. & Blattert, C. & Hartikainen, M. & Eyvindson, K. & Di Fulvio, F. & Forsell, N. & Burgas, D. & Toraño-Caicoya, A. & Mönkkönen, M. & Antón-Fernánd, 2023. "Future wood demands and ecosystem services trade-offs: A policy analysis in Norway," Forest Policy and Economics, Elsevier, vol. 147(C).
    5. Eyvindson, Kyle & Duflot, Rémi & Triviño, María & Blattert, Clemens & Potterf, Mária & Mönkkönen, Mikko, 2021. "High boreal forest multifunctionality requires continuous cover forestry as a dominant management," Land Use Policy, Elsevier, vol. 100(C).
    6. Luo, Li & Gao, Yuan & Regan, Courtney M. & Summers, David M. & Connor, Jeffery D. & O'Hehir, Jim & Meng, Li & Chow, Christopher W.K., 2024. "Emissions offset incentives, carbon storage and profit optimization for Australian timber plantations," Forest Policy and Economics, Elsevier, vol. 159(C).
    7. Liu, Wan-Yu & Lin, Chun-Cheng & Su, Ke-Hong, 2017. "Modelling the spatial forest-thinning planning problem considering carbon sequestration and emissions," Forest Policy and Economics, Elsevier, vol. 78(C), pages 51-66.
    8. Novas, Juan M. & Ramello, Juan Ignacio & Rodríguez, María Analía, 2020. "Generalized disjunctive programming models for the truck loading problem: A case study from the non-alcoholic beverages industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    9. Egon Balas, 2018. "Disjunctive Programming," Springer Books, Springer, number 978-3-030-00148-3, December.
    10. Álvarez-Miranda, Eduardo & Garcia-Gonzalo, Jordi & Ulloa-Fierro, Felipe & Weintraub, Andrés & Barreiro, Susana, 2018. "A multicriteria optimization model for sustainable forest management under climate change uncertainty: An application in Portugal," European Journal of Operational Research, Elsevier, vol. 269(1), pages 79-98.
    11. Blattert, Clemens & Eyvindson, Kyle & Hartikainen, Markus & Burgas, Daniel & Potterf, Maria & Lukkarinen, Jani & Snäll, Tord & Toraño-Caicoya, Astor & Mönkkönen, Mikko, 2022. "Sectoral policies cause incoherence in forest management and ecosystem service provisioning," Forest Policy and Economics, Elsevier, vol. 136(C).
    12. Rodolfo Carvajal & Miguel Constantino & Marcos Goycoolea & Juan Pablo Vielma & Andrés Weintraub, 2013. "Imposing Connectivity Constraints in Forest Planning Models," Operations Research, INFORMS, vol. 61(4), pages 824-836, August.
    13. Augustynczik, Andrey Lessa Derci & Arce, Julio Eduardo & Yousefpour, Rasoul & da Silva, Arinei Carlos Lindbeck, 2016. "Promoting harvesting stands connectivity and its economic implications in Brazilian forest plantations applying integer linear programming and simulated annealing," Forest Policy and Economics, Elsevier, vol. 73(C), pages 120-129.
    14. Borges, Paulo & Eid, Tron & Bergseng, Even, 2014. "Applying simulated annealing using different methods for the neighborhood search in forest planning problems," European Journal of Operational Research, Elsevier, vol. 233(3), pages 700-710.
    15. Egon Balas, 2018. "Disjunctive Programming and Extended Formulations," Springer Books, in: Disjunctive Programming, chapter 0, pages 69-77, Springer.
    16. Nabhani, Abbas & Mardaneh, Elham & Sjølie, Hanne K., 2024. "Multi-objective optimization of forest ecosystem services under uncertainty," Ecological Modelling, Elsevier, vol. 494(C).
    17. Linkevičius, Edgaras & Borges, José G. & Doyle, Marie & Pülzl, Helga & Nordström, Eva-Maria & Vacik, Harald & Brukas, Vilis & Biber, Peter & Teder, Meelis & Kaimre, Paavo & Synek, Michal & Garcia-Gonz, 2019. "Linking forest policy issues and decision support tools in Europe," Forest Policy and Economics, Elsevier, vol. 103(C), pages 4-16.
    18. Eyvindson, Kyle & Repo, Anna & Mönkkönen, Mikko, 2018. "Mitigating forest biodiversity and ecosystem service losses in the era of bio-based economy," Forest Policy and Economics, Elsevier, vol. 92(C), pages 119-127.
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