IDEAS home Printed from https://ideas.repec.org/a/eee/forpol/v139y2022ics1389934122000442.html
   My bibliography  Save this article

Spatial connectivity in tree-level decision-support models using mathematical optimization and individual tree mapping

Author

Listed:
  • Pascual, Adrián
  • Guerra-Hernández, Juan

Abstract

Tree-level planning is gaining relevance supported by continuous advances in forest remote sensing methods. Spatial connectivity under spatial optimization methods applied to individual tree mapping data remains unexplored. This article presents a spatially explicit mathematical formulation that ensures the tree cuttings conforming a corridor can connect two points across a forest landscape. The created paths facilitate operational harvesting linking forest planning solutions to forest machinery operations. The model integrates production, economic and connectivity constraints using mixed integer programming as optimization method, while tree positions and attributes were mapped using airborne laser scanning. Model performance was tested towards different harvesting targets and for the assessment of trade-offs involving the connectivity of the solutions and the economic performance. The showcase area to test the model is pine forest located in Central Spain comprising more than 9000 detected trees. The results showed the mathematical formulation in the model is effective at creating paths connect proposed areas using optimized tree harvests. Global optimality was reached fast using mathematical programming for a complex and large combinatorial problem. The presented model is another step forward in the design of multi-objective tree-level planning models, enhancing the assimilation of planning solutions towards forest operations capable to maximize the use of individual tree mapping data.

Suggested Citation

  • Pascual, Adrián & Guerra-Hernández, Juan, 2022. "Spatial connectivity in tree-level decision-support models using mathematical optimization and individual tree mapping," Forest Policy and Economics, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:forpol:v:139:y:2022:i:c:s1389934122000442
    DOI: 10.1016/j.forpol.2022.102732
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1389934122000442
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.forpol.2022.102732?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    2. Mikael Rönnqvist & Sophie D’Amours & Andres Weintraub & Alejandro Jofre & Eldon Gunn & Robert Haight & David Martell & Alan Murray & Carlos Romero, 2015. "Operations Research challenges in forestry: 33 open problems," Annals of Operations Research, Springer, vol. 232(1), pages 11-40, September.
    3. Pascual, Adrián, 2021. "Building Pareto Frontiers under tree-level forest planning using airborne laser scanning, growth models and spatial optimization," Forest Policy and Economics, Elsevier, vol. 128(C).
    4. 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.
    5. Pukkala, Timo, 2022. "Assessing the externalities of timber production," Forest Policy and Economics, Elsevier, vol. 135(C).
    6. 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.
    Full references (including those not matched with items on IDEAS)

    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. Correa, Renata Naoko & Scarpin, Cassius Tadeu & Ferrari, Linamara Smaniotto & Arce, Julio Eduardo, 2020. "Application of relax-and-fix heuristic in the aggregation of stands for tactical forest scheduling," Forest Policy and Economics, Elsevier, vol. 119(C).
    2. Pascual, Adrián, 2021. "Building Pareto Frontiers under tree-level forest planning using airborne laser scanning, growth models and spatial optimization," Forest Policy and Economics, Elsevier, vol. 128(C).
    3. Álvarez-Miranda, Eduardo & Goycoolea, Marcos & Ljubić, Ivana & Sinnl, Markus, 2021. "The Generalized Reserve Set Covering Problem with Connectivity and Buffer Requirements," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1013-1029.
    4. Gomes, Vanessa de Souza & Monti, Cássio Augusto Ussi & Silva, Carolina Souza Jarochinski e & Gomide, Lucas Rezende, 2021. "Operational harvest planning under forest road maintenance uncertainty," Forest Policy and Economics, Elsevier, vol. 131(C).
    5. Álvarez-Miranda, Eduardo & Garcia-Gonzalo, Jordi & Pais, Cristobal & Weintraub, Andrés, 2019. "A multicriteria stochastic optimization framework for sustainable forest decision making under uncertainty," Forest Policy and Economics, Elsevier, vol. 103(C), pages 112-122.
    6. Venn, Tyron J. & Dorries, Jack W. & McGavin, Robert L., 2021. "A mathematical model to support investment in veneer and LVL manufacturing in subtropical eastern Australia," Forest Policy and Economics, Elsevier, vol. 128(C).
    7. Sinha, Ankur & Rämö, Janne & Malo, Pekka & Kallio, Markku & Tahvonen, Olli, 2017. "Optimal management of naturally regenerating uneven-aged forests," European Journal of Operational Research, Elsevier, vol. 256(3), pages 886-900.
    8. Luo, Li & O'Hehir, Jim & Regan, Courtney M. & Meng, Li & Connor, Jeffery D. & Chow, Christopher W.K., 2021. "An integrated strategic and tactical optimization model for forest supply chain planning," Forest Policy and Economics, Elsevier, vol. 131(C).
    9. Araya-Córdova, P.J. & Vásquez, Óscar C., 2018. "The disaster emergency unit scheduling problem to control wildfires," International Journal of Production Economics, Elsevier, vol. 200(C), pages 311-317.
    10. Augustynczik, A.L.D. & Arce, J.E. & Silva, A.C.L., 2016. "Aggregating forest harvesting activities in forest plantations through Integer Linear Programming and Goal Programming," Journal of Forest Economics, Elsevier, vol. 24(C), pages 72-81.
    11. Stephanie A. Snyder & Robert G. Haight, 2016. "Application of the Maximal Covering Location Problem to Habitat Reserve Site Selection," International Regional Science Review, , vol. 39(1), pages 28-47, January.
    12. Laurent Alfandari & Alborz Hassanzadeh & Ivana Ljubić, 2021. "An Exact Method for Assortment Optimization under the Nested Logit Model," Working Papers hal-02463159, HAL.
    13. İ. Esra Büyüktahtakın & Robert G. Haight, 2018. "A review of operations research models in invasive species management: state of the art, challenges, and future directions," Annals of Operations Research, Springer, vol. 271(2), pages 357-403, December.
    14. Roland Oliver Hales & Sergio García, 2019. "Congress seat allocation using mathematical optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 426-455, October.
    15. Gatmiry, Zohreh S. & Hafezalkotob, Ashkan & Khakzar bafruei, Morteza & Soltani, Roya, 2021. "Food web conservation vs. strategic threats: A security game approach," Ecological Modelling, Elsevier, vol. 442(C).
    16. Sophie D’Amours & Philippe Marier & Mikael Rönnqvist & Riadh Azouzi & Dag Fjeld, 2017. "Game—The Online Wood Supply Game," INFORMS Transactions on Education, INFORMS, vol. 18(1), pages 71-87, September.
    17. Kayla Stan & Arturo Sanchez-Azofeifa & Mário Espírito-Santo & Carlos Portillo-Quintero, 2015. "Simulating Deforestation in Minas Gerais, Brazil, under Changing Government Policies and Socioeconomic Conditions," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-19, September.
    18. Maher, Stephen J. & Murray, John M., 2016. "The unrooted set covering connected subgraph problem differentiating between HIV envelope sequences," European Journal of Operational Research, Elsevier, vol. 248(2), pages 668-680.
    19. Hao Ye & Yongyong Song & Dongqian Xue, 2022. "Multi-Scenario Simulation of Land Use and Habitat Quality in the Guanzhong Plain Urban Agglomeration, China," IJERPH, MDPI, vol. 19(14), pages 1-22, July.
    20. Kıbış, Eyyüb Y. & Büyüktahtakın, İ. Esra, 2017. "Optimizing invasive species management: A mixed-integer linear programming approach," European Journal of Operational Research, Elsevier, vol. 259(1), pages 308-321.

    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:forpol:v:139:y:2022:i:c:s1389934122000442. 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/forpol .

    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.