HEIGHT-DIAMETER RELATIONSHIPS FOR Araucaria angustifolia (BERTOL.) KUNTZE IN SOUTHERN BRAZIL

Costa, Emanuel Arnoni; Schröder, Thomas; Finger, César Augusto Guimarães

doi:10.1590/01047760201622042182

Cited by 8 publications

(4 citation statements)

References 38 publications

(49 reference statements)

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“…In general, heightdiameter relations have been considered to approach a sigmoidal shape (Peng et al, 2001, Gómez-García et al, 2015Costa et al, 2016). However, despite the nonlinear nature of the relationship, the use of linearization has been used in many studies (Mehtätalo et al, 2015), since it presents many advantages given its simplicity.…”

Section: Figurementioning

confidence: 99%

HEIGHT-DIAMETER MODELS FOR Eucalyptus sp. PLANTATIONS IN BRAZIL

Filho

Mola‐Yudego

Ribeiro

et al. 2018

CERNE

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HEIGHT-DIAMETER MODELS FOR Eucalyptus sp. PLANTATIONS IN BRAZILFERRAZ FILHO, A. C.; MOLA-YUDEGO, B.; RIBEIRO, A.; SCOLFORO, J. R. S.; LOOS, R. A.; SCOLFORO, H. F. Height-diameter models for Eucalyptus sp. plantations in Brazil. CERNE, v. 24, n. 1, p. 9-17, 2018. HIGHLIGHTSHeight-diameter models are provided for eucalyptus plantations in Brazil.A wide variety of stand conditions (age and tree densities) were covered in the database.Mixed modeling was used due to the hierarchical structure of the data (trees in plots).The models use diameter, age, and dominant height as predictor variables. ABSTRACTThe use of height-diameter models have important applications in the management of eucalyptus plantations. The aim of this paper is to provide adequate height models based on the diameter and stand variables that could be easily used and applied to plantation's management. The data was based on tests located in Espírito Santo and Bahia. A total of 312 plots, including 35 different treatments (different initial planting densities, number and severity of thinning operations, fertilization regimes, among others), and four different clones. This resulted in 2,407 conditions for 85,608 tree measurements. The constructed equations were based on mixed-effect models, in order to accommodate possible autocorrelations, to address variations between sites and to obtain locally calibrated estimates. Among the different model structures and combination of variables tested and presented, the best model showed a coefficient of determination of 0.953 and 0.988, for the fixed and fixed+random parts, respectively. The model included a random factor for measurements-within-tree and tree-within-plot. The bias of the fixed part was 0.208 cm (0.0659%). We believe the models in this study can have broad applications in management and inventory methods applied to plantations. HEIGHT-DIAMETER MODELS FOR EUCALYPTUS SP. PLANTATIONS IN BRAZIL 10 CERNEFERRAZ FILHO et al.

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Section: Figurementioning

confidence: 99%

HEIGHT-DIAMETER MODELS FOR Eucalyptus sp. PLANTATIONS IN BRAZIL

Filho

Mola‐Yudego

Ribeiro

et al. 2018

CERNE

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“…The data showed large variation in diameters and heights among the sociological positions (Table 1). The Michailoff nonlinear model [NL] (Equation 1) was chosen because of its well explained data trend of height-diameter in A. angustifolia trees (Costa et al, 2016). The model was adjusted according to the groups of sociological position of trees (SP 1 : dominant, SP 2 : codominant, and SP 3 : dominated) (Costa et al, 2014).…”

Section: Data Collectionmentioning

confidence: 99%

Height-Diameter Models for Araucaria angustifolia (Bertol.) Kuntze in Natural Forests

Costa¹,

Hess²,

Klein³

et al. 2018

JAS

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The height-diameter relationship of Araucaria angustifolia trees in different sociological positions (dominant, codominant, dominated) was evaluated in a native forest in the south of Brazil, aiming to find accuracy in its estimation and its use as a component of forest description, growth and yield. The total number of trees of the three sociological positions was 657. Part of these trees of each sociological position was used to estimate the parameters of models, and the remaining for model evaluation. Thus, the objective of this work was to find the best height estimate using nonlinear models, linear with dummy variable, principal component with nonlinear regression, and principal component with mixed nonlinear regression. The criteria for accuracy of fit were adjusted coefficient of determination, root mean square error and mean error. The results showed that the fit using principal component with mixed nonlinear regression obtained consistent results and better accuracy. It showed that height growth capacity depends on the sociological position.

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“…According to Dorado and Diéguez-Aranda (2006), modelling allows to adjust equations that estimate height according to diameter, including other variables such as age, site index or dominant height, improving the quality of adjustments of height curves. Costa et al (2016) outline that the use of classic regression models requires meeting key assumptions such as independence among observations and homogeneity of variance, which are not always achieved, thus indicating explicit modelling of the covariance structure and the use of mixed models, what allows to generalize structures of spatial-temporal correlations and non-constant variance (Adame et al, 2008;Yang and Huang, 2009;Ercanli et al, 2015). Mixed models are one of the most sophisticated regression techniques with adjustment of a more consistent model, allowing to better verify model variability (Pinheiro and Bates, 2000;Trincado et al 2007;Bueno-López and Bevilacqua, 2012).…”

Section: Introductionmentioning

confidence: 99%

HEIGHT-DIAMETER RELATIONSHIPS FOR Eucalyptus grandis HILL EX. MAIDEN IN MOZAMBIQUE: USING MIXED-EFFECTS MODELING APPROACH

Hofiço

Costa

Finger

et al. 2020

CERNE

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HIGHLIGHTS Height-diameter model using mixed-effects was developed for Eucalyptus grandis in Mozambique. Four dominant trees and one tree randomly selected in plot were sufficient to calibrate the model. The perspective is to increase accuracy, practicality, precision of height estimations and decrease of sampling effort in forest inventories in Mozambique ABSTRACT Equations express that height-diameter relationships are used to estimate tree heights that were not measured in the plots, as well as to calculate their volumes. In this study, we modelled height for Eucalyptus grandis Hill ex. Maiden stands using nonlinear mixed effect models in Mocuba District, Central Mozambique. Models were tested from 1414 trees measured, in 40 plots with dimensions of 20 x 20 m. Model one (M1) was the best in relation to the others according to the evaluated criteria (R 2 = 0.9183; RMSE = 0.558; AIC =-1234.8; BIC =-1224.9). The inclusion of the variables dominant height (h 100 , m), basal area (G, m 2. ha-1) and mean basal area diameter (dg, m) in model 1 (M1) within the scope of mixed effect model structures that involved both fixed and random effect parameters (Model 7) provides better fitting and more precise predictions. For calibration of random effects according to plot, height measurement of at least five trees is required (four dominant trees + one tree randomly selected in plot). Our model is site-specific and its application should therefore be limited to the stands with characteristics that were the basis of this study. Further works on recalibration, validation, and verification of our model using a larger dataset collected from a wider range of species distribution will be more interesting.

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HEIGHT-DIAMETER RELATIONSHIPS FOR Araucaria angustifolia (BERTOL.) KUNTZE IN SOUTHERN BRAZIL

Cited by 8 publications

References 38 publications

HEIGHT-DIAMETER MODELS FOR Eucalyptus sp. PLANTATIONS IN BRAZIL

HEIGHT-DIAMETER MODELS FOR Eucalyptus sp. PLANTATIONS IN BRAZIL

Height-Diameter Models for Araucaria angustifolia (Bertol.) Kuntze in Natural Forests

HEIGHT-DIAMETER RELATIONSHIPS FOR Eucalyptus grandis HILL EX. MAIDEN IN MOZAMBIQUE: USING MIXED-EFFECTS MODELING APPROACH

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