iForest - Biogeosciences and Forestry


Alternative methods of scaling Eucalyptus urophylla trees in forest stands: compatibility and accuracy of volume equations

Eder Pereira Miguel (1)   , Sylvio Péllico Netto (2), Gileno Brito de Azevedo (3), Glauce Taís de Oliveira Sousa Azevedo (3), Alba Valéria Rezende (1), Reginaldo Sérgio Pereira (1)

iForest - Biogeosciences and Forestry, Volume 11, Issue 2, Pages 275-283 (2018)
doi: https://doi.org/10.3832/ifor2155-011
Published: Mar 29, 2018 - Copyright © 2018 SISEF

Research Articles

This study developed and tested a procedure that aimed to reduce the cost of forest stand volume estimation. Using a typical 3 x 3 m Eucalyptus urophylla plantation, estimates based on a simplified approach were compared with those of precise but costly reference methods. The simplified approach required measuring the total height and bole diameters up to 2 m high. The volume of the lower part was estimated using Smalian’s formula, while the volume of the upper part was estimated using a simple solid as an approximation. Three typical solids were tested: paraboloid, cone, and neiloid. The approach proposed is non-destructive, because it does not require tree felling, while precise methods are destructive. The operational (traditional) method uses Smalian’s formula to measure bole diameter at short intervals over the whole bole, while the precise, more research-suited (reference) method records water displacement (using a xylometer) to accurately measure the volume of each bole section. The reference and traditional methods, as expected, produced very similar results. The approach proposed, using a paraboloid for the upper part, provided results that were not statistically different to the reference values. The volumes estimated by the proposed approach were used to calibrate the Schumacher-Hall function, and the performance of the model was evaluated using the values obtained by the xylometer.


Forest Inventory, Rigorous Scaling, Dendrometric Prototype, Volume Equation, Modeling

Authors’ address

Eder Pereira Miguel
Alba Valéria Rezende
Reginaldo Sérgio Pereira
Department of Forest Science, University of Brasília (UnB), Campus Darcy Ribeiro, Brasília, CEP 70910-900 (Brazil)
Sylvio Péllico Netto
Department of Forest Science, Federal University of Paraná (UFPR), Av. Prof. Lothário Meissner, 900 Campus III UFPR - Botanical Garden, Curitiba, CEP 80210-170 (Brazil)
Gileno Brito de Azevedo
Glauce Taís de Oliveira Sousa Azevedo
Federal University of Mato Grosso do Sul (UFMS), Campus Chapadão do Sul, Rod. MS 306, Km 105, CXP 112, Chapadão do Sul/MS, CEP 79560-000 (Brazil)

Corresponding author

Eder Pereira Miguel


Miguel EP, Péllico Netto S, Azevedo GB, Azevedo GTOS, Rezende AV, Pereira RS (2018). Alternative methods of scaling Eucalyptus urophylla trees in forest stands: compatibility and accuracy of volume equations. iForest 11: 275-283. - doi: 10.3832/ifor2155-011

Academic Editor

Davide Travaglini

Paper history

Received: Jun 27, 2016
Accepted: Jan 09, 2018

First online: Mar 29, 2018
Publication Date: Apr 30, 2018
Publication Time: 2.63 months

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