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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List of the papers citing this article based on CrossRef Cited-by.

Akindele SO, LeMay VM (2006)
Development of tree volume equations for common timber species in the tropical rain forest area of Nigeria. Forest Ecology Management 226: 41-48.
CrossRef | Gscholar
Akossou AYJ, Arzouma S, Attakpa EY, Fonton NH, Kokou K (2013)
Scaling of teak (Tectona grandis) logs by the xylometer technique: accuracy of volume equations and influence of the log length. Diversity 5: 99-113.
CrossRef | Gscholar
Andrade VCL, Souza AL, Calegário N (2014)
Equações segmentadas de perfil do tronco geradas a partir da equação que descreve sólidos geométricos [Segmented trunk profile equations generated from the equation for obtaining geometric solids]. Pesquisa Florestal Brasileira 34: 285-301. [in Portuguese]
CrossRef | Gscholar
Azevedo GB, Sousa GTO, Barreto PAB, Conceição Júnior V (2011)
Estimativas volumétricas em povoamentos de eucalipto sob regime de alto fuste e talhadia no sudoeste da Bahia [Volumetric estimates in eucalypt plantation under regime of high forest and coppice in the southwest of Bahia, Brazil]. Pesquisa Florestal Brasileira 31: 309-318. [in Portuguese]
CrossRef | Gscholar
Batista JLF, Couto HTZ, Silva Filho DF (2014)
Quantificação de recursos florestais: árvores, arvoredos e florestas [Quantification of forest resources: trees, groves and forests] (1st edn). Oficina de Textos, São Paulo, Brasil, pp. 384. [in Portuguese]
Breymann K (1868)
Anleitung zur Holzmeβkunst, Waldertrags bestimmung und Waldwertberechnung [Guidance for the art of measuring wood, determining forest yield and calculating forest value]. Wien, Austria, pp. 644. [in German]
Draper NR, Smith H (1998)
Applied regression analysis (3rd edn). Wiley-Interscience, New York, USA. pp. 736.
Figueiredo Filho A, Machado SA, Carneiro MRA (2000)
Testing accuracy of log volume calculation procedures against water displacement techniques (xylometer). Canadian Journal of Forest Research 30: 990-997.
CrossRef | Gscholar
Grosenbauch LR (1966)
Tree form: definition, interpolation, extrapolation. Forestry Chronicle 42: 444-457.
CrossRef | Gscholar
Hammer O, Harpe ATD, Ryan PD (2001)
PAST: paleontological statistics software package for education and data analysis. Palaeontologia Electronica 4: 1-9.
Hohenadl W (1922)
Neue Grundlagen der Holzmessung [New foundations of wood measurement]. Forstwissenschaftliches Centralblatt 44: 184-194. [in German]
CrossRef | Gscholar
Husch B, Miller IC, Beers TW (1983)
Forest Mensuration. J. Wiley, New York, USA. pp. 402.
Höjer AG (1903)
Tallens och granens tillväxt [Pine and spruce growth]. Bihang till Fr. Loven. Om våra barrskogar, Stockholm, Sweden, pp. 62. [in Swedish]
IUSS Working Group WRB (2010)
A framework for international classification, correlation and communication. World Soil Resources Reports no. 103, Word Reference Base for Soil Resources, Food and Agriculture Organization of the United Nations, Rome, Italy, pp. 145.
Kozak A, Munro DD, Smith JHG (1969)
Taper functions and their applications in forest inventories. Forestry Chronicle 45: 278-283.
CrossRef | Gscholar
Larson PR (1963)
Stem form development of forest tree. Society of American Foresters, Washington, DC, USA. pp. 42.
Liu CJ (1980)
Log volume estimation with spline approximation. Forest Science 26: 361-369.
CrossRef | Gscholar
Loetsch F, Zoehrer F, Haller KE (1973)
Forest Inventory (2nd edn). BLV, München, Germany. pp. 469.
Machado SA, Figueiredo Filho A (2014)
Dendrometria [Dendrometry] (2nd edn). UNICENTRO, Guarapuava, Brasil, pp. 316. [in Portuguese]
Machado SA, Urbano E, Conceição MB, Figueiredo Filho A, Figueiredo DJ (2004)
Comparação de modelos de afilamento do tronco para diferentes idades e regimes de desbaste em plantações de Pinus oocarpa Schiede [Comparison of taper functions for different ages and thinning regimes in Pinus oocarpa plantations]. Boletim de Pesquisa Florestal 48: 41-64. [in Portuguese]
Machado SA, Urbano E, Conceição MB (2005)
Comparação de métodos de estimativa de volume para Pinus oocarpa em diferentes idades e diferente regimes de desbastes [Comparison of volume estimation methods for Pinus oocarpa at different ages and thinning regimes]. Pesquisa Florestal Brasileira 50: 81-98. [in Portuguese]
Machado SA, Téo SJ, Urbano E, Figura MA, Silva LCR (2006)
Comparação de métodos de cubagem absolutos com o volume obtido pelo xilômetro para bracatinga (Mimosa scabrella Bentham) [Comparison of absolute scaling methods with the volume obtained by the xylometer method for bracatinga (Mimosa scabrella Bentham)]. Cerne 12: 239-253. [in Portuguese]
Machado SA, Figura MA, Silva LCR, Téo SJ, Stolle L, Urbano E (2008)
Modelagem volumétrica para bracatinga (Mimosa scabrella) em povoamentos da Região Metropolitana de Curitiba [Volumetric modeling for bracatinga (Mimosa scabrella) in bracaringa stands in Curitiba Metropolitan Region]. Pesquisa Florestal Brasileira 56: 17-29. [in Portuguese]
Murta Júnior LS, Oliveira MLR, Nogueira GS, Castro RVO, Pelli E, Silva EA (2015)
Estimation of total volume of Eucalyptus through measurements at the tree base. Australian Journal of Basic and Applied Sciences 9: 134-141.
Piñeiro G, Perelman S, Guerschman JP, Paruelo JM (2008)
How to evaluate models: observed vs. predicted or predicted vs. observed? Ecological Modelling 216: 316-322.
CrossRef | Gscholar
Preuβner K (1974)
Eine neue schaftkurvengleichung und ihre anwendung [A new solution for taper curve equations and its application]. Wissenschaftliche Zeitschrift 23: 305-309. [in German]
Prodan M (1965)
Holzmesslehre [Learning to measure trees]. J. D. Sauerländer’s Verlag, Frankfurt, Deutschland. pp. 644. [in German]
Péllico Netto S, Brena DA (1997)
Inventário florestal [Forest inventory]. Editorado pelos autores, Curitiba, Brazil, pp. 316. [in Portuguese]
Riecke F (1840)
Über die Berechnung des körperlichen Inhalts und beschlagener Baumstämme [On the calculation of the corp content and evaluation of tree stems]. Stuttgart, Germany, pp. 75. [in German]
Roiko-Jokela P (1976)
Die schaftformfunktion der fichte und die bestimung der sortimente am stehenden baum [The taper function for the spruce and the determination of the assortments at the standing tree]. Eidgenössische Anstalt für das Forst Versuchswesen, Zürich, Switzerland. pp. 52. [in German]
Row C, Guttenberg S (1966)
Determining weight-volume relationship for saw logs. Forest Products Journal 16: 39-47.
Schiffel A (1902)
Die kubierung von rundholz aus zwei durchmessern und der lange [The volume evaluation of tree stem with two diameters and the length]. Verschswesen Österreichs, Wien, Austria. pp. 148. [in German]
Schröder T, Pereira LD, Hofiço NSA (2013)
Comparação de métodos de estimativa de volume total para Eucalyptus grandis W. Hill ex Maiden [Comparing methods for total volume estimation for Eucalyptus grandis W. Hill ex Maiden]. Floresta e Ambiente 20: 480-486. [in Portuguese]
CrossRef | Gscholar
Schuberg K (1891)
Formzahlen und massentafeln für die weiβtanne [Form factors and volume tables for spruce]. Verlag Paul Parey, Berlin, Germany, pp. 165. [in German]
Schumacher FX, Hall FS (1933)
Logarithmic expression of timber-tree volume. Journal of Agricultural Research 47: 719-734.
Schöpfer W (1966)
Automatisierung der massen-, sorten- und wertberechnung stehender waldbestände [Automation of the mass, species and value calculation of standing forest stands] (21st edn). Landesforstverwaltung Baden-Württemberg, Stuttgart, Germany, pp. 108. [in German]
Simony O (1904)
Über Form zahlengleichungen und deren forst-mathematische Verwertung [About form numerical equations and their forest-mathematical utilization]. Wien, Austria, pp. 54. [in German]
Siqueira Neto M, Piccolo MC, Costa Junior C, Cerri CC, Bernoux M (2011)
Emissão de gases do efeito estufa em diferentes usos da terra no bioma Cerrado [Greenhouse gas emission caused by different land-uses in brazilian Savannah]. Revista Brasileira de Ciência do Solo 35: 63-76. [in Portuguese]
CrossRef | Gscholar
Smalian HL (1837)
Beitrag zur holzmeβkunst [Contribution to the art of measuring wood]. Verlag Löffler, Stralsund, Germany, pp. 87. [in German]
Soares CPB, Silva GF, Martins FB (2010)
Influence of section lengths on volume determination in Eucalyptus trees. Cerne 16: 155-162.
CrossRef | Gscholar
Soares C, Paula Neto F, Souza A (2011)
Dendrometria e inventário florestal [Forest mensuration and forest inventory] (2nd edn). Editora UFV, Viçosa-MG, Brasil, pp. 272. [in Portuguese]
Soil Survey Staff (2010)
Keys to soil taxonomy (11th edn). USDA, Washington, pp. 338.
Online | Gscholar
Spurr SH (1952)
Forest Inventory. The Ronald Press Company, New York, USA, pp. 476.
Statsoft I (2004)
Statistica (data analysis software system), version 7.0.
Van Laar A, Akça A (2007)
Forest mensuration. Springer, Dordrecht, The Netherlands, pp. 383.
EMBRAPA (2013)
Sistema brasileiro de classificação de solo [Brazilian soil classification system] (3rd edn). Embrapa Solos, Brasília, Brazil, pp. 342. [in Portuguese]

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