Effect of measuring section size on the adjustment of eucalyptus volumetric equations
DOI:
https://doi.org/10.4336/2025.pfb.45e202302286Keywords:
Forest inventory, Diameter, Plant heightAbstract
The objective of this study was to evaluate the combination of different trunk section lengths on the accuracy of volume equations for the hybrid Eucalyptus urophylla S.T. Blake x Eucalyptus grandis W. Mill ex Maiden. Data from 70 trees from an 8-year-old experimental plantation were used. Diameters along the trunks were measured at intervals of 0.50 m down to a minimum diameter of 4 cm, allowing the calculation of volumes in sections of 0.5, 1.0, 2.0, 3.0, and 4.0 m in length using the mathematical expressions of Smalian, Huber, and Newton. We concluded that: a) the section size in the tree cubing procedure directly affects the accuracy of individual volume estimates, with larger sections resulting in equations that generate relatively larger errors; b) for sections of the same size, the volume equations adjusted with volume data obtained using the mathematical expressions of Huber, Newton, and Smalian show greater statistical proximity to the actual tree volumes, indicated by higher p-values. However, as the section length increases, in some cases, the volume equations become statistically different from each other, even when calculated using the same mathematical expression.
Downloads
References
Acerbi Junior, F. W. et al. Modelo para prognose do crescimento e da produção e análise econômica de regimes de manejo para Pinus taeda L. Revista Árvore, v. 26, n. 6, p. 699-713, 2002. https://www.doi.org/10.1590/S0100-67622002000600007. DOI: https://doi.org/10.1590/S0100-67622002000600007
Batista, J. L. F. et al. Quantificação de recursos florestais: árvores, arvoredos e florestas. São Paulo: Oficina de Textos, 2014.
Campos, J. C. C. Dendrometria. Viçosa, MG: UFV, 1988.
Campos, J. C. C. & Leite, H. G. Mensuração florestal: perguntas e respostas. 5. ed. Viçosa, MG: UFV, 2017.
Figueiredo Filho, A. et al. Testing accuracy of log volume calculation procedures against water displacement techniques (xylometer). Canadian Journal of Forest Research, v. 30, n. 6, p. 990-997, 2000. https://www.doi.org/10.1139/x00-006. DOI: https://doi.org/10.1139/x00-006
Gomes, A. M. A. Medição dos arvoredos. Lisboa: Livraria Sá da Costa, 1957.
Graybill, F. A. Theory and application of the linear model. Massachusets: Ouxburg 239 Press, 1976.
Gujarati, D. N. & Porter, D. C. Econometria básica. 5. ed. Porto Alegre: AMGH, 2011.
Husch, B. et al. Forest mensuration. 4. ed. New Jersey: John Wiley & Sons, 2003.
Leite, H. et al. Classificação da capacidade produtiva de povoamentos de eucalipto utilizando diâmetro dominante. Silva Lusitana, v. 19, n. 2, p. 181-195, 2011.
Lima, G. C. P. et al. Acuracidade de métodos de cubagem para estimativa do volume de Pinus taeda L. BIOFIX Scientific Journal, v. 1, n. 1, p. 74-82, 2016. https://www.doi.org/10.5380/biofix.v1i1.49101. DOI: https://doi.org/10.5380/biofix.v1i1.49101
Lustosa Junior, I. M. et al. Modelos de afilamento e otimização de multiprodutos de um povoamento de Eucalyptus não desbastado. Revista de Agricultura Neotropical, v. 4, n. 5, p. 59-65, 2017. https://www.doi.org/10.32404/rean.v4i5.2216. DOI: https://doi.org/10.32404/rean.v4i5.2216
Machado, S. A. et al. Comparação de métodos de cubagem absolutos com o volume obtido pelo xilômetro para bracatinga (Mimosa scabrella Bentham). Cerne, v. 12, n. 3, p. 239-253, 2006.
Machado, S. A. & Figueredo Filho, A. Dendrometria. 2. ed. Guavara: Unicentro, 2014.
Machado, S. A. & Nadolny, M. C. Comparação de métodos de cubagem de árvores e de diversos comprimentos de seção. In: Congresso Florestal e do Meio Ambiente do Paraná, 3., 1991, Curitiba. Anais [...]. Curitiba: Associação Paranaense de Engenheiros Florestais, 1991.
Martins, M. T. et al. Estimativas volumétricas em plantios de eucalipto para duas mesorregiões do Rio Grande do Sul. BIOFIX Scientific Journal, v. 6, n. 1, p. 28, 2021. https://www.doi.org/10.5380/biofix.v6i1.75708. DOI: https://doi.org/10.5380/biofix.v6i1.75708
Medeiros, R. A. et al. Growth and structural development of Tectona grandis in different cultivation systems in Brazil. Journal of Agricultural Science, v. 11, n. 8, p. 138-155, 2019. https://www.doi.org/10.5539/jas.v11n8p138. DOI: https://doi.org/10.5539/jas.v11n8p138
Menezes, L. D. S. et al. Taper modeling and economic evaluation of multi-products obtained from wood of short-rotation eucalyptus stands. Floresta, v. 50, n. 3, p. 1439, 2020. https://www.doi.org/10.5380/rf.v50i3.60513. DOI: https://doi.org/10.5380/rf.v50i3.60513
Miranda, D. L. C. et al. Determinação do volume de toras da espécie Mezilaurus itauba (Meissn.) Taub. Scientia Plena, v. 9, n. 8, p. 1-7, 2013.
Oliveira, J. M. D. de et al. Quantificação de volume de árvores utilizando cubagem rigorosa, modelo de afilamento e modelo volumétrico. Agropecuária Científica no Semiárido, v. 16, n. 3, p. 134, 2020. https://www.doi.org/10.30969/acsa.v16i3.1269. DOI: https://doi.org/10.30969/acsa.v16i3.1269
Oliveira, R. Z. G. & Garcia, C. Sobre métodos de obtenção do volume de toras de madeira. Revista do Professor de Matemática, v. 83, p. 10-15, 2014.
R Core Team. R: A Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing, 2022. Disponível em: https://www.r-project.org/. Acesso em: 16 dez. 2022.
Schumacher, F. X. & Hall, F. D. S. Logarithmic expression of timber-tree volume. Journal of Agricultural Research, v. 47, n. 9, p. 719-734, 1933.
Silva, A. B. et al. Impactos econômicos do aumento do número de seções de cubagem em florestas plantadas. Revista Brasileira de Ciências Florestais, v. 32, n. 2, p. 421-433, 2015.
Souza, H. S. et al. Comparação de métodos de cubagem para eucalipto. Revista Brasileira de Biometria, v. 35, n. 1, p. 17-26, 2017.
Weiskittel, A. R. et al. Forest growth and yield modeling. Hoboken: John Wiley & Sons, 2011. DOI: https://doi.org/10.1002/9781119998518
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Carlos Alberto Ramos Domiciano, Carlos Pedro Boechat Soares, Helio Garcia Leite, Gilson Fernandes da Silva
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
PFB reserves the right to edit manuscripts to correct grammar/spelling, improve clarity, and comply with the journal’s standards while maintaining the style of the authors.
The final version will be sent to the corresponding author for approval.
Published articles become the property of PFB.
Manuscripts may be used after publication without prior authorization from PFB, as long as the journal is credited.
Warning: figures published in PFB may only be reused with prior authorization from Embrapa Forestry.
All content in PFB is licensed under Creative Commons attribution (type BY-NC-ND).
The opinions and concepts expressed in manuscripts are the sole responsibility of their respective authors and not PFB.
