Stem taper equations for diameter and volume predictions of Abies cilicica Carr. in the Taurus Mountains, Turkey

2020 ◽  
Vol 17 (12) ◽  
pp. 3054-3069
Author(s):  
Onur Alkan ◽  
Ramazan Özçelik
2018 ◽  
Vol 42 (1) ◽  
Author(s):  
Guilherme Silverio Aquino de Souza ◽  
Diogo Nepomuceno Cosenza ◽  
Ana Carolina da Silva Cardoso Araújo ◽  
Lucas Veiga Ayres Pimenta ◽  
Ramon Barreto Souza ◽  
...  

ABSTRACT This study aims to evaluate non-linear stem taper models for predicting the pre-commercial diameter of eucalyptus trees and to analyze the effect of genotype on stem taper. The treatments comprise three different genotypes of Eucalyptus sp. in a 3 × 3 m plantation spacing. Seventy sample trees aged 10 years were felled for each treatment. The outside bark diameter measurements were taken at 0.5 m; 1.0 m; 1.5 m; 2.0 m, and then at intervals of 2.0 m till the top of the stem. Four non-linear models were evaluated, namely, the sigmoid model of Garay (1979), the variable exponent model of Kozak (1988), the segmented model of Max and Burkhart (1976), and the compatible model of Demaerschalk (1972). The performance of the models was assessed using the following statistical validation methods: correlation coefficient, standard error of estimate, mean bias, bias variance, root mean squared error, and mean absolute deviation. Graphical analysis of residues was used to evaluate the accuracy and precision of the estimates. Compared with other models, the variable exponent model of Kozak (1988) best described the stem profile, and predicted the total volume of the trees. The identity test showed that the stem profile is affected by the genotype.


2013 ◽  
Vol 10 (1) ◽  
pp. 22-28
Author(s):  
Roscinto Ian C. Lumbres ◽  
Jung Kee Pyo ◽  
Young Jin Lee
Keyword(s):  

2012 ◽  
Vol 29 (1) ◽  
pp. 5-14 ◽  
Author(s):  
Rongxia Li ◽  
Aaron Weiskittel ◽  
Adam R. Dick ◽  
John A. Kershaw ◽  
Robert S. Seymour

2018 ◽  
pp. 76-83 ◽  
Author(s):  
R. Silwal ◽  
S. K. Baral ◽  
B. B. K. Chhetri

Volume and taper equations are used for estimating timber volume and biomass of a tree. Despite their usefulness, precise and site specific equations are still lacking for commercially important tree species in Nepal. The study was carried out at Chandak Chatiya Mahila Community Forest in Bardia district and Lumbini Collaborative Forest of Saljhandi in Rupandehi district in western Terai of Nepal. A destructive sampling method was used and selected fifteen Sal trees (Shorea robusta Gaertn. f.) from Saljhandi (site 1) and eighteen trees from Bagnaha (site 2) randomly to calibrate an individual tree volume and a stem taper function. At first, a non-linear stem taper function was calibrated using stem diameters outside bark at different heights above ground as response variable and D (diameter at breast height), H (total height), h (height of interest) as predictors. Then, effect of crown characteristics on stem taper was evaluated. As stem HCB (height to crown base) was found to affect stem taper, its usefulness in existing stem volume equation was tested. Empirical relationships between V (stem volume) as a response variable and D, H, HCB and sites in Bardia and Rupandehi districts as predictors were established using a linear mixed modeling approach. Our result showed that, instead of H, use of HCB in stem volume equation increased model prediction accuracy and reduced prediction bias. Applicability of the suggested models for predicting individual S. robusta tree volume and stem taper is discussed. Banko JanakariA Journal of Forestry Information for Nepal Special Issue No. 4, 2018, Page: 76-83


Author(s):  
John Paul McTague ◽  
Aaron R. Weiskittel

Stem taper equations, which predict the change in form from ground to tip, have become the primary means for estimating volume. They can provide predictions with similar levels of accuracy as volume equations, but with greater flexibility, a wider range of potential uses, and consistency between taper and volume. This review is a synthesis of current knowledge and an assessment of challenges for future refinement. It primarily focuses on the history and evolution of stem taper model forms. Additional focal areas covered are: (1) the use of additional covariates beyond diameter at breast height and total height; (2) alternative statistical parameterization methods like parametric, semi-parametric, and non-parametric; (3) key considerations for proper development, application, and use of these equations such as sample size requirements, local calibration, and evaluation; and (4) a synthesis of key findings, future opportunities, and ongoing challenges. Emerging technologies, such as terrestrial laser scanning (TLS) offer an unprecedented opportunity to measure stem form in much greater detail at significantly lower costs and time requirements than traditional methods. Overall, continued development, refinement, and application of stem taper equations will remain important given the critical nature of tree volume for science, accurate inventories, and ultimately, sustainable forest management.


2020 ◽  
Vol 35 (8) ◽  
pp. 562-576
Author(s):  
Amna Hussain ◽  
Muhammad Khurram Shahzad ◽  
Pei He ◽  
Lichun Jiang

PeerJ ◽  
2016 ◽  
Vol 4 ◽  
pp. e1929 ◽  
Author(s):  
Aiguo Duan ◽  
Sensen Zhang ◽  
Xiongqing Zhang ◽  
Jianguo Zhang

Chinese fir (Cunninghamia lanceolata) is the most important commercial tree species in southern China. The objective of this study was to develop a variable taper equation for Chinese fir, and to quantify the effects of stand planting density on stem taper in Chinese fir. Five equations were fitted or evaluated using the diameter-height data from 293 Chinese fir trees sampled from stands with four different densities in Fenyi County, Jiangxi Province, in southern China. A total of 183 trees were randomly selected for the model development, with the remaining 110 trees used for model evaluation. The results show that the Kozak’s, Sharma/Oderwald, Sharma/Zhang and modified Brink’s equations are superior to the Pain/Boyer equation in terms of the fitting and validation statistics, and the modified Brink’s and Sharma/Zhang equations should be recommended for use as taper equations for Chinese fir because of their high accuracy and variable exponent. The relationships between some parameters of the three selected equations and stand planting densities can be built by adopting some simple mathematical functions to examine the effects of stand planting density on tree taper. The modelling and prediction precision of the three taper equations were compared with or without incorporation of the stand density variable. The predictive accuracy of the model was improved by including the stand density variable and the mean absolute bias of the modified Brink’s and Sharma/Zhang equations with a stand density variable were all below 1.0 cm in the study area. The modelling results showed that the trees have larger butt diameters and more taper when stand density was lower than at higher stand density.


2015 ◽  
Vol 24 (3) ◽  
pp. e034 ◽  
Author(s):  
Francisco Rodríguez ◽  
Iñigo Lizarralde ◽  
Felipe Bravo

<p class="Articulo"><em>Aim of study:</em><strong> </strong>A stem taper function and a compatible merchantable volume system are compared to evaluate which provides a better description of the stem profile for the main species in central Spain.</p><p class="Articulo"><em>Area of study:</em><strong> </strong>This research was carried out in the region of Castile-Leon, located in Central Spain.<strong></strong></p><p class="Articulo"><em>Material and Methods:</em> A total of 6,357 trees were selected for destructive sampling. All models were fitted using a first-order continuous autoregressive error structure to address the problem of autocorrelation.<strong></strong></p><p class="Articulo"><em>Main results:</em> In terms of accuracy, the root mean square error (RMSE) in both models ranged from 0.75 to 2.72 depending on the species analyzed, presenting values similar to those reported in other studies. Small differences in the goodness-of-fit for both procedures were also found, and the Stud model provided better accuracy for 6 of the 8 species studied, with RMSE reductions of 0.5% to 8.6%. The RMSE obtained in the cross-validation phase was on average 1.22 times higher than what was obtained in the fitting phase.<strong></strong></p><p class="Articulo"><em>Research highlights:</em><strong> </strong>The non-linear extra sum of squares method indicated that the stem taper differs among the five softwood species and three hardwood species. In hardwoods, the first inflection point is lower than in softwoods (at around 5%) and the second inflection point is higher (at around 85%) than those of softwoods.</p><p class="Articulo"><strong>Keywords</strong>: taper function; volume system; Central Spain; softwoods; hardwoods.</p>


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