Individual tree merchantable volume to total volume ratios based on geometric solids

1989 ◽  
Vol 19 (5) ◽  
pp. 679-683 ◽  
Author(s):  
James D. Newberry ◽  
Harold E. Burkhart ◽  
Ralph L. Amateis
Keyword(s):  
Loblolly Pine ◽  
Volume Ratio ◽  
Individual Tree ◽  
Ratio Data ◽  
Geometric Solids ◽  
Two Parameter ◽  
Tree Stem

Individual tree volume ratio equations were developed on the basis of the volume formulas of certain geometric solids. Two parameter-free and two parameterized models were formulated, based on different basal diameters. The parameter-free models should be useful when few individual tree volume ratio data exist for a given species or for a particular population of trees. The parameterized models are appropriate, of course, to those situations where volume ratio data exist. The parameter-free models performed as well as the parameterized models in the upper half of the tree stem for the loblolly pine data used for comparison. The parameterized models performed well all along the tree stem.

scholarly journals Deriving compatible taper functions from volume ratio equations based on upper-stem height

2017 ◽  
Vol 47 (10) ◽  
pp. 1424-1431 ◽  
Author(s):  
Thomas B. Lynch ◽  
Dehai Zhao ◽  
Will Harges ◽  
John Paul McTague
Keyword(s):  
Pinus Taeda ◽  
Loblolly Pine ◽  
Volume Ratio ◽  
Stem Volume ◽  
Stem Height ◽  
Ratio Data ◽  
Prediction Systems ◽  
Pinus Taeda L ◽  
Taper Equations ◽  
Tree Stem

A very common model for prediction of tree stem volumes to upper-stem height or diameter limits is the use of a merchantable to total volume ratio function multiplied by a total stem volume function. Many users of these prediction systems also desire taper equations that can predict heights to upper-stem diameters. While taper equations compatible with volume ratio equations have been used for many years, compatible taper equations from volume ratio equations that are functions of upper-stem height have been used infrequently. Yet many studies have indicated that height-based ratio equations perform well and frequently have statistics of fit that are comparable with diameter-based volume ratio equations. Compatible taper equations derived from height-based ratio equations are presented here. The methodology that uses height-based merchantable to total volume ratios does not require the solution of a differential equation after differentiating the height-based volume ratio, as is necessary when using the method of deriving taper equations from diameter-based merchantable to total volume ratios. This could be an advantage depending on the complexity of the ratio function. Example taper equations fitted to loblolly pine (Pinus taeda L.) data from the southeastern USA and the state of Oklahoma, USA, indicate good fit to these data, whether fitted directly to taper data or implicitly by using parameters fitted to volume ratio data.

scholarly journals Accuracy of common stem volume formulae using terrestrial photogrammetric point clouds: a case study with savanna trees in Benin

2021 ◽  
Author(s):  
Hospice A. Akpo ◽  
Gilbert Atindogbé ◽  
Maxwell C. Obiakara ◽  
Arios B. Adjinanoukon ◽  
Madaï Gbedolo ◽  
...  
Keyword(s):  
Point Clouds ◽  
Stem Volume ◽  
Individual Tree ◽  
Volume Calculation ◽  
Tropical Regions ◽  
Solid Of Revolution ◽  
Taper Function ◽  
Geometric Solids ◽  
Traditional Approaches ◽  
Tree Stem

AbstractRecent applications of digital photogrammetry in forestry have highlighted its utility as a viable mensuration technique. However, in tropical regions little research has been done on the accuracy of this approach for stem volume calculation. In this study, the performance of Structure from Motion photogrammetry for estimating individual tree stem volume in relation to traditional approaches was evaluated. We selected 30 trees from five savanna species growing at the periphery of the W National Park in northern Benin and measured their circumferences at different heights using traditional tape and clinometer. Stem volumes of sample trees were estimated from the measured circumferences using nine volumetric formulae for solids of revolution, including cylinder, cone, paraboloid, neiloid and their respective fustrums. Each tree was photographed and stem volume determined using a taper function derived from tri-dimensional stem models. This reference volume was compared with the results of formulaic estimations. Tree stem profiles were further decomposed into different portions, approximately corresponding to the stump, butt logs and logs, and the suitability of each solid of revolution was assessed for simulating the resulting shapes. Stem volumes calculated using the fustrums of paraboloid and neiloid formulae were the closest to reference volumes with a bias and root mean square error of 8.0% and 24.4%, respectively. Stems closely resembled fustrums of a paraboloid and a neiloid. Individual stem portions assumed different solids as follows: fustrums of paraboloid and neiloid were more prevalent from the stump to breast height, while a paraboloid closely matched stem shapes beyond this point. Therefore, a more accurate stem volumetric estimate was attained when stems were considered as a composite of at least three geometric solids.

An integrated approach to individual tree volume distribution and stem profile modeling

1985 ◽  
Vol 15 (3) ◽  
pp. 555-560 ◽  
Author(s):  
James D. Newberry ◽  
Thomas E. Burk
Keyword(s):  
Conditional Distribution ◽  
Volume Ratio ◽  
Integrated Approach ◽  
Bivariate Distribution ◽  
Volume Distribution ◽  
Individual Tree ◽  
Stem Taper ◽  
Error Analyses ◽  
Tree Stem ◽  
Taper Model

Individual tree merchantable volume – total volume ratios with respect to stem diameters and heights on the tree stem were described with the SB distribution. Different volume ratio estimates were obtained from these models for a given location on the tree stem depending on whether the location is indexed by a diameter or height. This problem is common with many volume ratio systems. To overcome this problem, the merchantable volume – total volume ratios with respect to joint stem diameters and heights were described with the SBB bivariate distribution. Error analyses showed that the bivariate distribution had less error than the marginal SB distribution for stem diameters, but more error than the marginal SB distribution for stem heights. A stem taper model was obtained from the conditional distribution of diameter given height using the median regression.

Estimating individual tree leaf area in loblolly pine plantations using LiDAR-derived measurements of height and crown dimensions

2005 ◽  
Vol 213 (1-3) ◽  
pp. 54-70 ◽  
Author(s):  
Scott D. Roberts ◽  
Thomas J. Dean ◽  
David L. Evans ◽  
John W. McCombs ◽  
Richard L. Harrington ◽  
...  
Keyword(s):  
Leaf Area ◽  
Loblolly Pine ◽  
Pine Plantations ◽  
Individual Tree ◽  
Tree Leaf ◽  
Crown Dimensions

scholarly journals Individual tree and stand-level carbon and nutrient contents across one rotation of loblolly pine plantations on a reclaimed surface mine

New Forests ◽  
2018 ◽  
Vol 50 (5) ◽  
pp. 733-753 ◽  
Author(s):  
Hannah Z. Angel ◽  
Jeremy S. Priest ◽  
Jeremy P. Stovall ◽  
Brian P. Oswald ◽  
Yuhui Weng ◽  
...  
Keyword(s):  
Loblolly Pine ◽  
Pine Plantations ◽  
Individual Tree ◽  
Surface Mine ◽  
Nutrient Contents

Robustness of Parametric and Nonparametric Fitting Procedures of Tree-Stem Taper with Alternative Definitions for Validation Data

2020 ◽  
Vol 118 (6) ◽  
pp. 576-583
Author(s):  
Sheng-I Yang ◽  
Harold E Burkhart
Keyword(s):  
Loblolly Pine ◽  
Model Development ◽  
Data Partitioning ◽  
Parametric Models ◽  
Validation Data ◽  
Data Set ◽  
Stem Taper ◽  
Computationally Intensive ◽  
Tree Stem ◽  
Selection Of

Abstract This study aims to evaluate the robustness of parametric and nonparametric procedures using alternative definitions of validation data for loblolly pine. Specifically, four data division strategies were implemented: random selection of one-third of the trees in the data set, selection of the smallest one-third of the trees by diameter at breast height (DBH), selection of the middle third of the trees by DBH, and selection of the largest third of the trees by DBH. Results indicate that tree taper was predicted reasonably well by both procedures when the smallest, medium-sized, or randomly selected trees were withheld for validation. However, when the largest trees were withheld for validation, diameters predicted by the nonparametric random forest algorithm were considerably less accurate than those predicted by the parametric models, especially for diameters near the tree top. When extrapolation is anticipated, a carefully designed data-partitioning strategy should provide some protection against poor results for given prediction objectives. Study Implications Parametric tree-stem taper models have been widely applied in forestry. Recently, nonparametric methods with computationally intensive algorithms were proposed for estimating tree taper, but reliability of the methods has not been explicitly examined. In practice, models are commonly applied to predict unknown populations, which may vary from the observations used in model development. This study provides insights for natural resource and forest managers to select appropriate validation procedures when developing models for predicting tree-stem taper and examining robustness of parametric and nonparametric fitting of tree-stem taper under varying levels of interpolation/extrapolation from fitting to validation of data.

Diameter Increment and Survival Equations for Loblolly Pine Trees Growing in Thinned and Unthinned Plantations on Cutover, Site-Prepared Lands

1989 ◽  
Vol 13 (4) ◽  
pp. 170-174 ◽  
Author(s):  
Ralph L. Amateis ◽  
Harold E. Burkhart ◽  
Terese A. Walsh
Keyword(s):  
Loblolly Pine ◽  
Growth Function ◽  
Individual Tree ◽  
Competitive Position ◽  
Probability Of Survival ◽  
Diameter Increment ◽  
Annual Probability ◽  
Pine Trees ◽  
Stand Conditions

Abstract Individual tree dbh increment and survival equations were developed for predicting annual dbh growth and annual probability of survival of loblolly pine trees in thinned and unthinned plantations on cutover, site-prepared lands. The dbh increment equation predicts dbh increment froma potential dbh growth function multiplied by a modifier function. The survival equations predicts the probability of survival as a function of crown ratio and the tree's competitive position in the stand. When used together, the equations should be useful to foresters interested in predictingfuture dbh and survival values for both thinned and unthinned stand conditions. South. J. Appl. For. 13(4):170-174.

scholarly journals Very High Density Point Clouds from UAV Laser Scanning for Automatic Tree Stem Detection and Direct Diameter Measurement

2020 ◽  
Vol 12 (8) ◽  
pp. 1236 ◽  
Author(s):  
Karel Kuželka ◽  
Martin Slavík ◽  
Peter Surový
Keyword(s):  
Cross Sections ◽  
Hough Transform ◽  
Laser Scanning ◽  
Point Clouds ◽  
Mean Bias Error ◽  
Bias Error ◽  
Least Trimmed Squares ◽  
Remotely Sensed Data ◽  
Individual Tree ◽  
Tree Stem

Three-dimensional light detection and ranging (LiDAR) point clouds acquired from unmanned aerial vehicles (UAVs) represent a relatively new type of remotely sensed data. Point cloud density of thousands of points per square meter with survey-grade accuracy makes the UAV laser scanning (ULS) a very suitable tool for detailed mapping of forest environment. We used RIEGL VUX-SYS to scan forest stands of Norway spruce and Scots pine, the two most important economic species of central European forests, and evaluated the suitability of point clouds for individual tree stem detection and stem diameter estimation in a fully automated workflow. We segmented tree stems based on point densities in voxels in subcanopy space and applied three methods of robust circle fitting to fit cross-sections along the stems: (1) Hough transform; (2) random sample consensus (RANSAC); and (3) robust least trimmed squares (RLTS). We detected correctly 99% and 100% of all trees in research plots for spruce and pine, respectively, and were able to estimate diameters for 99% of spruces and 98% of pines with mean bias error of −0.1 cm (−1%) and RMSE of 6.0 cm (19%), using the best performing method, RTLS. Hough transform was not able to fit perimeters in unfiltered and often incomplete point representations of cross-sections. In general, RLTS performed slightly better than RANSAC, having both higher stem detection success rate and lower error in diameter estimation. Better performance of RLTS was more pronounced in complicated situations, such as incomplete and noisy point structures, while for high-quality point representations, RANSAC provided slightly better results.

ESTIMATING SINGLE TREE STEM AND BRANCH BIOMASS USING TERRESTRIAL LASER SCANNING

2015 ◽  
Vol 77 (26) ◽  
Author(s):  
Nurliyana Izzati Ishak ◽  
Md Afif Abu Bakar ◽  
Muhammad Zulkarnain Abdul Rahman ◽  
Abd Wahid Rasib ◽  
Kasturi Devi Kanniah ◽  
...  
Keyword(s):  
Laser Scanning ◽  
Terrestrial Laser Scanning ◽  
Stem Volume ◽  
Biomass Estimation ◽  
Forest Plot ◽  
Individual Tree ◽  
Matching Process ◽  
Branch Biomass ◽  
Individual Trees ◽  
Tree Stem

This paper presents a novel non-destructive approach for individual tree stem and branch biomass estimation using terrestrial laser scanning data. The study area is located at the Royal Belum Reserved Forest area, Gerik, Perak. Each forest plot was designed with a circular shape and contains several scanning locations to ensure good visibility of each tree. Unique tree signage was located on trees with diameter at breast height (DBH) of 10cm and above.  Extractions of individual trees were done manually and the matching process with the field collected tree properties were relied on the tree signage and tree location as collected by total station. Individual tree stems were reconstructed based on cylinder models from which the total stem volume was calculated. Biomass of individual tree stems was calculated by multiplying stem volume with specific wood density. Biomass of individual was estimated using similar concept of tree stem with the volume estimated from alpha-hull shape. The root mean squared errors (RMSE) of estimated biomass are 50.22kg and 27.20kg for stem and branch respectively. 

Influence of ULS data acquisition characteristics on the achievable stem reconstruction accuracies

2020 ◽  
Author(s):  
Moritz Bruggisser ◽  
Johannes Otepka ◽  
Norbert Pfeifer ◽  
Markus Hollaus
Keyword(s):  
Point Cloud ◽  
Laser Scanning ◽  
Laser Scanner ◽  
Point Clouds ◽  
Stem Diameter ◽  
Forest Monitoring ◽  
Individual Tree ◽  
Detection Rates ◽  
Point Count ◽  
Tree Stem

<p>Unmanned aerial vehicles-borne laser scanning (ULS) allows time-efficient acquisition of high-resolution point clouds on regional extents at moderate costs. The quality of ULS-point clouds facilitates the 3D modelling of individual tree stems, what opens new possibilities in the context of forest monitoring and management. In our study, we developed and tested an algorithm which allows for i) the autonomous detection of potential stem locations within the point clouds, ii) the estimation of the diameter at breast height (DBH) and iii) the reconstruction of the tree stem. In our experiments on point clouds from both, a RIEGL miniVUX-1DL and a VUX-1UAV, respectively, we could detect 91.0 % and 77.6 % of the stems within our study area automatically. The DBH could be modelled with biases of 3.1 cm and 1.1 cm, respectively, from the two point cloud sets with respective detection rates of 80.6 % and 61.2 % of the trees present in the field inventory. The lowest 12 m of the tree stem could be reconstructed with absolute stem diameter differences below 5 cm and 2 cm, respectively, compared to stem diameters from a point cloud from terrestrial laser scanning. The accuracy of larger tree stems thereby was higher in general than the accuracy for smaller trees. Furthermore, we recognized a small influence only of the completeness with which a stem is covered with points, as long as half of the stem circumference was captured. Likewise, the absolute point count did not impact the accuracy, but, in contrast, was critical to the completeness with which a scene could be reconstructed. The precision of the laser scanner, on the other hand, was a key factor for the accuracy of the stem diameter estimation. <br>The findings of this study are highly relevant for the flight planning and the sensor selection of future ULS acquisition missions in the context of forest inventories.</p>

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