Use of Taper Curve Solved by an Algebraic Method in Silvicultural Research

1986 ◽  
Vol 62 (6) ◽  
pp. 529-532 ◽  
Author(s):  
Guillaime Thérien ◽  
Claude Camiré
Keyword(s):  
Spline Function ◽  
Algebraic Method ◽  
Solution Model ◽  
Algebraic Solution ◽  
Silvicultural Treatments ◽  
Volume Equation ◽  
Taper Equation ◽  
Taper Equations ◽  
Cubic Spline Function ◽  
Volume Equations

Taper equations are commonly used to predict the bole shape and to calculate its volume. In this study, a new algebraic solution model is proposed for research purposes. This model was found to be as accurate as cubic spline function and simple to use. It would be particularly appropriate for research on stand reactions after silvicultural treatments. The study also evaluated compatible volume equations. The required accuracy can be obtained only with a volume equation taking into account a form class coefficient. Key words: balsam fir, taper equation, volume equation, algebraic solution model

Dimensionally compatible volume and taper equations

2001 ◽  
Vol 31 (5) ◽  
pp. 797-803 ◽  
Author(s):  
Mahadev Sharma ◽  
Richard G Oderwald
Keyword(s):  
North Carolina ◽  
Loblolly Pine ◽  
Coastal Plain ◽  
Pine Trees ◽  
Volume Equation ◽  
Pinus Taeda L ◽  
Taper Equation ◽  
Natural Stands ◽  
Taper Equations ◽  
Volume Equations

A dimensional analysis approach was applied to derive analytically consistent tree taper and volume equations. To achieve numerical consistency between the taper and volume equations, parameters of the taper and the volume equations were estimated simultaneously. Data from loblolly pine (Pinus taeda L.) trees grown in natural stands in the Coastal Plain of North Carolina and the Coastal Plain and Piedmont areas of Virginia were used to estimate the parameters. The dimensionally compatible volume equation is shown to be a better equation for estimation of the volume of loblolly pine trees grown in these sites and can be applied for the estimation of total volume. The taper equation accurately predicts tree diameters from butt to the tree tip. It can be used to predict the diameter at any specified height and to predict height to any top diameter limit.

scholarly journals Nondestructive Sampling Applications of the Tele-Relaskop in Forest Inventory

1997 ◽  
Vol 21 (2) ◽  
pp. 75-83
Author(s):  
Robert C. Parker
Keyword(s):  
Analytical Techniques ◽  
Growth And Yield ◽  
Software Systems ◽  
Horizontal Distance ◽  
Tree Form ◽  
Practical Applications ◽  
Standing Trees ◽  
Volume Equation ◽  
Taper Equations ◽  
Volume Equations

Abstract The Tele-Relaskop dendrometer permits accurate upper stem measurements of diameter and height on standing trees for volume and form computations without destructive sampling. Its 8 x magnification and system of scales and relative measurement units facilitates measurements from any convenient distance. Horizontal and vertical percentages of the horizontal distance from the instrument to the tree axis are converted to defined units of measure during computations. Practical applications of the Tele-Relaskop are in growth and yield studies, CFI measurements, traditional volume equation construction, and inventory computations where numerical evaluation of tree form and/or volume is desired. Applications involving computations beyond stem diameters at calculated heights require a microcomputer and specialized software containing analytical techniques for the numerical description of tree form, one of which is a polynomial taper model. These software systems are available to link Tele-Relaskop procedures to traditional inventory processing. Single-tree taper equations are used to calculate tree volume to user-defined merchantability limits, and the volumes are fitted to a combined variable regression model to produce volume equations for use in inventory computations. Coefficients from the volume equations and multiple-tree, species-average taper equations can be used by inventory processors to compute gross tree volumes. Taper coefficients can also be used to compute scaling diameters of variable log length segments within inventory sample trees. South. J. Appl. For. 21(2):75-83.

Compatible taper function for Scots pine plantations in northwestern Spain

2006 ◽  
Vol 36 (5) ◽  
pp. 1190-1205 ◽  
Author(s):  
Ulises Diéguez-Aranda ◽  
Fernando Castedo-Dorado ◽  
Juan Gabriel Álvarez-González ◽  
Alberto Rojo
Keyword(s):  
Scots Pine ◽  
Model Development ◽  
Individual Tree ◽  
Stand Volume ◽  
Taper Function ◽  
Northwestern Spain ◽  
Volume Equation ◽  
Taper Equation ◽  
Volume Equations

A compatible system for estimation of individual tree volume was developed for Scots pine (Pinus sylvestris L.) in northwestern Spain. The system comprises a merchantable volume equation, a total volume equation, and a taper function. The use of the volume equation allows rapid estimation of tree volume, and stand volume by summing individual tree volumes, which is equal to the volume obtained by integrating the taper equation. The volume equation is very easy to use and is therefore preferred when classification of the products by merchantable sizes is not required. Data from 228 destructively sampled trees were used for model development. Fourteen compatible volume equations were evaluated, 13 of these equations were taken from the available literature, and the other was developed in the present study. A modified second-order continuous autoregressive error structure was used to correct the autocorrelation of the hierarchical data used. The model developed by Fang et al. (Z. Fang, B.E. Borders, and R.L. Bailey. 2000. For. Sci. 46: 1–12) best described the data. There model is therefore recommended for the estimation of diameter at a specific height, merchantable volume, and total volume of Scots pine stems in the area of study.

Segmented Quadratic Taper Equations for Spruce and Fir in the Northeast

1989 ◽  
Vol 6 (3) ◽  
pp. 123-126 ◽  
Author(s):  
Dale S. Solomon ◽  
Terry D. Droessler ◽  
Ronald C. Lemin
Keyword(s):  
Analysis Data ◽  
Red Spruce ◽  
Stem Analysis ◽  
Validation Data ◽  
Data Set ◽  
Error Analyses ◽  
Taper Equation ◽  
Taper Equations ◽  
Total Tree ◽  
Volume Equations

Abstract Segmented quadratic taper equations were developed from red spruce and balsam fir stem analysis data in the Northeast. Estimated diameters and volumes from the taper equations were compared with actual diameters and volumes in a validation data set, and were found to be precise and have negligible bias in prediction. The derived volume from the taper equation was also compared to existing total tree volume equations for spruce and fir. The error analyses showed the segmented taper equations provided an accurate and precise alternative to total tree volume equations. North. J. Appl. For. 6:123-126, September 1989.

scholarly journals Progress and Regress of Time Dependent Data and Application in Bank Branch

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
F. Hosseinzadeh Lotfi ◽  
Z. Taeb ◽  
S. Abbasbandy
Keyword(s):  
Decision Making ◽  
Commercial Bank ◽  
Spline Function ◽  
Time Dependent ◽  
Malmquist Productivity Index ◽  
Productivity Index ◽  
Dependent Data ◽  
Bank Branch ◽  
Decision Making Unit ◽  
Cubic Spline Function

To evaluate each decision making unit having time dependent inputs and outputs data, a new method has been developed and reported here. This method uses the Malmquist productivity index, and is a very simple function based on Cubic Spline function to determine the progress and regress of that unit. To show the capability of this developed method, the data of 9 branches of a commercial bank has been used, evaluated, and reported.

Power Flow Investigation Using Cubic Spline Function a Case Study

2018 ◽  
Vol 7 (4) ◽  
pp. 1-16 ◽  
Author(s):  
Shabbiruddin ◽  
Karma Sonam Sherpa ◽  
Sandeep Chakravorty ◽  
Amitava Ray
Keyword(s):  
Power Systems ◽  
Power Flow ◽  
Spline Function ◽  
Electrical Power ◽  
Flow Analysis ◽  
Cubic Spline ◽  
Load Flow ◽  
Electrical Power Systems ◽  
Flow Investigation ◽  
Cubic Spline Function

This article presents an approach using cubic spline function to study Load Flow with a view to acquiring a reliable convergence in the Bus System. The solution of the power flow is one of the extreme problems in Electrical Power Systems. The prime objective of power flow analysis is to find the magnitude and phase angle of voltage at each bus. Conventional methods for solving the load flow problems are iterative in nature, and are computed using the Newton-Raphson, Gauss-Seidel and Fast Decoupled method. To build this method, this paper used cubic spline function. This approach can be considered as a ‘two stage' iterative method. To accredit the proposed method load flow study is carried out in IEEE-30 bus systems.

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.

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