Floresta e Ambiente
Floresta e Ambiente
Original Article Forest Management

Spatial Forest Planning for Optimized Harvest Scheduling

Mariana Bussolo Stang; Julio Eduardo Arce; Sebastião do Amaral Machado; Pedro Henrique Belavenutti; Luan Demarco Fiorentin

Downloads: 0
Views: 22


ABSTRACT: The aim of this study was to develop a mathematical model for the spatial forest planning of harvest activity scheduling. Thirty-eight (38) blocks were formed from stands aged 13 to 17 years considering a total area limit set to 350 hectares. The model was built in Excel ® spreadsheet and solved by CPLEX® optimization software using the Branch and bound method for the linear programming of problems with integer variables. The results of optimization are presented in the form of a map of spatial distribution of the selected blocks. The total harvested area was 5,989 hectares and the volume generated was 2,956,913 m3 in a planning horizon of five years. Higher results compared with those of traditional planning and efficiency to optimize forest harvesting proved to be a viable alternative to the inclusion of space and operational issues associated with forest harvesting.


geographic information system, tactical planning, linear programming


Andalaft N, Andalaft P, Guignard M, Magendzo A, Wainer A, Weintraub A. A problem of forest harvesting and road building solved through model strengthening and lagrangean relaxation. Operations Research 2002; 51(4): 613-628.

Augustynczik ALD, Arce JE, Silva AC. Aggregating forest harvesting activities in forest plantations through integer linear programming and goal programming. Journal of Forest Economics 2016; 24: 72-81.

Baskent EZ, Keles S. Spatial forest planning: A review. Ecological Modelling 2005; 188: 145-173.

Binoti DHB, Silva Binoti MLM, Leite HG, Gleriani JM, Oliveira MLR, Campos JCC et al. Regulação de florestas equiâneas com restrição de classes de idade por compartimento. Cerne 2014; 20(4): 567-573.

Ezquerro M, Pardos M, Diaz-Balteiro L. Operational research techniques used for addressing biodiversity objectives into forest management: an overview. Forests 2016; 7(10): 1-18.

Johnson KN, Scheuerman HL. Techniques for prescribing optimal timber harvest and investment under different objectives: discussion and synthesis. Forest Science 1977; 23: a0001-z0001.

Nelson JD. Assessment of forest harvest blocks generated from operational polygons and forest cover polygons in tactical and strategic planning. Canadian Journal of Forest Research 2001; 31: 682-693.

Smaltschinski T, Seeling U, Becker G. Clustering forest harvest stands on spatial networks for optimized harvest scheduling. Annals of Forest Science 2012; 69: 651-657.

Ohman K, Eriksson LO. Aggregating harvest activities in long term forest planning by minimizing harvest area perimeters. Silva Fennica 2010; 44(1): 77-89.

Weintraub A, Murray AT. Review of combinatorial problems induced by spatial forest harvesting planning. Discrete Applied Mathematics 2006; 154(5): 867-879.

5c59b5850e88251f1fe8778e floram Articles
Links & Downloads


Share this page
Page Sections