Spatial Forest Planning for Optimized Harvest Scheduling

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

doi:10.1590/2179-8087.010016

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Original Article, Forest Management • Floresta Ambient. 26 (1) • 2019 • https://doi.org/10.1590/2179-8087.010016 copy

Spatial Forest Planning for Optimized Harvest Scheduling

Authorship SCIMAGO INSTITUTIONS RANKINGS

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.

Keywords:
geographic information system; tactical planning; linear programming

Age Classes	Area				Stands
(years)	(ha)		(%)		Frequency		(%)
[0 to 5)	2,833	21.43		504		27.51
[5 to 10)	3,407	25.78		583		31.82
[10 to 15)	5,815	43.99		604		32.97
[15 to 20)	1,148	8.68		130		7.10
[20 to 25)	2	0.01		2		0.11
> 25	14	0.11		9		0.49
Total	13,219	100		1832		100

Description	Diameter (cm)	Length (m)	Total volume (%)
Process	8 to 18	2.65	0.52
Sawmill 1	18 to 25	2.65	0.25
Sawmill 2	>25	2.65	0.19

Block/Block	1	2	3	4	5	6	7	8	9	10
1	–	0.7	0.9	5.1	1.6	13.2	15.8	14.3	18.3	26.5
2	0.7	–	1.4	6.0	7.6	6.3	4.7	2.3	6.3	14.4
3	0.9	1.4	–	1.4	3.1	12.0	10.3	7.9	11.9	20.0
4	5.1	6.0	1.4	–	3.1	13.4	11.7	9.4	11.9	21.5
5	1.6	7.6	3.1	3.1	–	11.8	13.4	11.0	15.0	23.1
6	13.2	6.3	12.0	13.4	11.8	–	0.5	3.2	4.2	11.2
7	15.8	4.7	10.3	11.7	13.4	0.5	–	1.9	2.5	9.6
8	14.3	2.3	7.9	9.4	11.0	3.2	1.9	–	0.6	7.7
9	18.3	6.3	11.9	11.9	15.0	4.2	2.5	0.6	–	6.8
10	26.5	14.4	20.0	21.5	23.1	11.2	9.6	7.7	6.8	–

Year	Interactions	Solution Time (s)	GAP (%)
1	11,066	1.09	1.93
2	28,296	1.50	1.16
3	8,784	0.56	3.28
4	3,986	0.36	0.34
5	870	0.25	0.00

	Selected Blocks
	Year 1	Year 2	Year 3	Year 4	Year 5
	6	8	9	1	4
	14	10	13	5	11
	21	16	22	12	17
	25	26	24	23	19
	27	31	29	-	-
	30	-	-	-	-
Area (ha)	1,597.17	1,285.94	1,153.79	956.92	994.92
Volume (m³)	683,720.1	587,449.7	564,213.6	560,964.8	560,564.7
Road (km)	29.5	32.5	26.9	33.9	27.2

Instituto de Florestas da Universidade Federal Rural do Rio de Janeiro Rodovia BR 465 Km 7, CEP 23897-000, Tel.: (21) 2682 0558 | (21) 3787-4033 - Seropédica - RJ - Brazil
E-mail: floram@ufrrj.br

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[1] Mariana Bussolo StangDepartamento de Engenharia Florestal, Universidade Federal do Paraná – UFPR, Av. Pref. Lothário Meissner, 900, CEP 80210-170, Curitiba, PR, Brasil e-mail: mari_stang@hotmail.com