Integrated Systems for the Estimation of Tree Taper and Volume

1973 ◽  
Vol 3 (1) ◽  
pp. 90-94 ◽  
Author(s):  
J. P. Demaerschalk
Keyword(s):  
Integrated Systems ◽  
Total Height ◽  
Breast Height ◽  
Taper Equations ◽  
Diameter Outside Bark ◽  
Volume Equations

The desirability and the advantages of deriving taper equations from existing volume equations are discussed. It is demonstrated that the most common types of volume equations can be converted to compatible taper equations. These mathematical stem profile expressions yield tree volumes for any desired stump height and top diameter outside bark from inputs of diameter breast height outside bark and total height.

A geometrical tree volume model based on the location of the centre of gravity of the bole

1982 ◽  
Vol 12 (2) ◽  
pp. 215-221 ◽  
Author(s):  
Robert R. Forslund
Keyword(s):  
Volume Estimation ◽  
Diameter Measurement ◽  
Stem Form ◽  
Total Height ◽  
Volume Model ◽  
Breast Height ◽  
Centre Of Gravity ◽  
Geometrical Form ◽  
Volume Equation ◽  
Diameter Outside Bark

A tree bole model describing a geometrical form in between a paraboloid and cone "paracone" has been developed. The model is based on empirical evidence that the average centre of gravity of aspen (Populustremuloides Michx.) boles without branches lies at 3/10 of the bole height from its base. Outside bark bole volume, V (cubic decimetres), can therefore be estimated nondestructively from the total height, H (metres), and the diameter outside bark, dK (centimetres), measured at a relative height, K, as follows:[Formula: see text]Based on a sample of 70 aspen stems, this equation estimates individual bole volume from total bole length or height and from a single diameter measurement, either at the 3/10 position or at the breast-height position, as accurately as Smalian's formula using seven diameter measurements. Based on the sample, the 3/10 position should be chosen over breast height wherever breast height lies below 20 or above 60% of the total height. It is important that care be taken in the measurement of the diameter due to the sensitivity of the volume equation to diameter variation. In addition to volume estimation, the paracone model provides a comparison profile around which stem form variation within and among species may be observed.

An investigation of product form

1984 ◽  
Vol 14 (6) ◽  
pp. 768-774 ◽  
Author(s):  
P. Roebbelen ◽  
V. G. Smith
Keyword(s):  
Black Spruce ◽  
Jack Pine ◽  
Small Sample ◽  
Red Pine ◽  
Product Form ◽  
Regression Equations ◽  
White Pine ◽  
Total Height ◽  
Breast Height ◽  
Diameter Outside Bark

Product form (P) of a tree has been defined as the product of diameter-outside-bark at midheight above breast height (d) and total height (H) (P = d × H). It is used along with diameter breast height (D) in product form volume equations (VPF = f(P,D)) for estimating individual tree volumes. It is hypothesized that for each coniferous species, there exists some optimal height at which a diameter measurement can be taken and used in a product form term to estimate the inside-bark volume with minimum error. Regression equations and simpler expressions of the form V = D2 × H × F were developed for red pine (Pinusresinosa Ait.), white pine (Pinusstrobus L.), jack pine (Pinusbanksiana Lamb.), and black spruce (Piceamariana (Mill.) B.S.P.) using six upper diameter locations. The optimal location of the upper diameter was found to be 50% of the total height for red pine and white pine and 47% of total height for jack pine and black spruce. Product form is redefined as P = d* × H where d* = diameter-outside-bark at that average relative height on the tree where d* = (2 × V)/(D × H) as determined from a small sample of scaled trees, for each species and H = total height of tree.

scholarly journals Equations for Estimating Bark Volume and Thickness of Commercial Trees in British Columbia

1981 ◽  
Vol 57 (3) ◽  
pp. 112-115 ◽  
Author(s):  
A. Kozak ◽  
R. C. Yang
Keyword(s):  
British Columbia ◽  
Data Base ◽  
Predictive Power ◽  
Bark Thickness ◽  
Breast Height ◽  
Species Groups ◽  
Taper Equations ◽  
Volume Equations

Volume and thickness of bark were studied for 32 species groups of British Columbia. Over 32,000 trees constituted the data base to derive bark volume equations. Because of its simplicity and good predictive power, the equation of Vb = a'HTbDBHcBTd is recommended for bark volume prediction. The possibility to develop bark taper equations and to estimate bark thickness at any given height above breast height were also investigated.

Guidelines for choosing volume equations in the presence of measurement error in height

2000 ◽  
Vol 30 (2) ◽  
pp. 306-310 ◽  
Author(s):  
M S Williams ◽  
H T Schreuder
Keyword(s):  
Measurement Error ◽  
Tree Species ◽  
Measurement Errors ◽  
Tree Diameter ◽  
Total Height ◽  
Volume Equations

Assuming volume equations with multiplicative errors, we derive simple conditions for determining when measurement error in total height is large enough that only using tree diameter, rather than both diameter and height, is more reliable for predicting tree volumes. Based on data for different tree species of excurrent form, we conclude that measurement errors up to ±40% of the true height can be tolerated before inclusion of estimated height in volume prediction is no longer warranted.

Converting Volume Equations to Compatible Taper Equations

1972 ◽  
Vol 18 (3) ◽  
pp. 241-245 ◽  
Author(s):  
J. P. Demaerschalk
Keyword(s):  
Taper Equations ◽  
Volume Equations

Bark Thickness and Bark Volume in Southwestern Oregon Douglas-Fir

1990 ◽  
Vol 5 (1) ◽  
pp. 5-8 ◽  
Author(s):  
Douglas A. Maguire ◽  
David W. Hann
Keyword(s):  
Pseudotsuga Menziesii ◽  
Douglas Fir ◽  
Bark Thickness ◽  
Breast Height ◽  
Taper Equation ◽  
Taper Equations ◽  
Height Predictions

Abstract A segmented polynomial taper equation for southwestern Oregon Douglas-fir (Pseudotsuga menziesii) predicts double bark thickness (dbt) at any point above breast height. Below breast height predictions assume conformity to a neiloid frustrum. The equations facilitate estimation of inside bark diameter (dib) given outside bark (dob) measurements. Bark volume and bark biomass can also be estimated when supplemented with existing dib taper equations developed for southwestern Oregon. West J. Appl. For. 5(1):5-8.

scholarly journals Survivorship, attained diameter, height and volume of three Paulownia species after 9 years in the southern Appalachians, USA

2019 ◽  
Vol 31 (6) ◽  
pp. 2181-2191
Author(s):  
Erik C. Berg ◽  
Stanley J. Zarnoch ◽  
W. Henry McNab
Keyword(s):  
Ground Level ◽  
Southern Appalachians ◽  
Total Height ◽  
Breast Height ◽  
Southern Appalachian ◽  
Lack Of Information ◽  
Weather Events ◽  
Moist Environment ◽  
Volume Production ◽  
Volume Models

Abstract Little is known of the tree and stand dynamics of varied species of planted Paulownia left unmanaged until harvest in the southeastern United States. We sought to remedy this lack of information needed by land managers to make informed decisions by investigating differences in survivorship, attained diameter breast height (DBH), diameter at ground level, total height, tree volume and stand-level volume yields of planted P. elongata, P. fortunei, and P. tomentosa in the cool-moist environment of the southern Appalachian Mountains. After 9 years, combined-species survivorship was only 27.3%. Low survivorship was likely related to several inclement weather events. P. fortunei was significantly smaller in DBH and total height. Three combined-species stem (bole) volume models were developed as functions of (1) DBH squared, (2) the product DBH squared and total height, and (3) the product diameter ground line squared and total height. Mean total volume production of unmanaged stands was greatest for P. elongata and P. fortunei 4 years after planting; by the 9th year, total volume of P. elongata was greater than the other two species. Results of our study provide managers information on productivity of three species of Paulownia that can be used for estimating plantation yields.

An Iterative Reweighting Procedure for Volume Equations Based on Diameter

1992 ◽  
Vol 16 (2) ◽  
pp. 64-67
Author(s):  
W. Rick Smith ◽  
Charles E. Thomas
Keyword(s):  
Censored Data ◽  
Parameter Estimates ◽  
Inventory Data ◽  
Diameter At Breast Height ◽  
Breast Height ◽  
Iterative Reweighting ◽  
Data Improvement ◽  
Volume Equations

Abstract An iterative reweighting scheme for regression with censored data is introduced. The method provides increased precision of parameter estimates for weighted linear or polynomial, diameter at breast height (dbh) based volume equations. This method can also improve equations that predict unreasonable volumes for trees with small dbh's. The technique was applied to highly heteroscedastic inventory data. Improvement in the precision of both softwood and hardwood, merchantable volume and sawtimber volume equations was achieved using this procedure. South. J. Appl. For. 16(2):64-67.

Simultaneous total and merchantable volume equations and a compatible taper function for loblolly pine

1987 ◽  
Vol 17 (1) ◽  
pp. 87-92 ◽  
Author(s):  
John P. McTague ◽  
Robert L. Bailey
Keyword(s):  
Loblolly Pine ◽  
Forest Products ◽  
Raw Material ◽  
Forest Products Industry ◽  
Santa Catarina ◽  
Breast Height ◽  
Taper Function ◽  
Volume Equation ◽  
Volume Equations ◽  
Special Case

Loblolly pine (Pinustaeda L.) is an important source of raw material for the forest products industry of Santa Catarina, Brazil. Data from 159 trees were used to develop a simultaneously estimated total and merchantable volume equation, which treats total volume as a special case of merchantable volume with Dm, the diameter limit, equal to zero. By imposing a restriction on the parameters of the total and merchantable volume equation, a compatible taper function was derived that predicts diameter at breast height when merchantable height equals 1.3 m. The taper function possesses an analytic point of inflection in the lower portion of the stem.

scholarly journals Predicting Total Height from Diameter Using Nonlinear Models in Pinus roxburghii

2013 ◽  
Vol 14 (1) ◽  
pp. 147-152
Author(s):  
TB Thapa ◽  
CP Upadhyaya ◽  
YP Timilsina ◽  
SK Bhandari ◽  
L Puri
Keyword(s):  
Nonlinear Models ◽  
Productive Capacity ◽  
Test Statistics ◽  
Pinus Roxburghii ◽  
Diameter At Breast Height ◽  
Total Height ◽  
Breast Height ◽  
Research Activities ◽  
Chir Pine ◽  
Desirable Behavior

Height of the trees is not only used to estimate the product available from trees and to determine the productive capacity of the particular land but also used in forest management and research activities. In this research, predictability of total height from diameter at breast height for chir-pine (Pinus roxburghii) by using nonlinear models was examined. Total height and diameter at breast height of 180 trees were measured by using Suunto Clinometer and diameter tape respectively. The measured data were subjected to previously developed robust and strong statistical models, and evaluated by using different test statistics. Among those, H = e(-0.276) D0.925 explained the greatest proportion of variations of height (R2adj.=0.910) and minimum root mean square error (RMSE=1.221) and showed desirable behavior of flexibility and robustness. Nepal Journal of Science and Technology Vol. 14, No. 1 (2013) 147-152 DOI: http://dx.doi.org/10.3126/njst.v14i1.8935

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