Cubic-Foot Volume of Loblolly Pine to Any Merchantable Top Limit

1977 ◽  
Vol 1 (2) ◽  
pp. 7-9 ◽  
Author(s):  
Harold E. Burkhart
Keyword(s):  
Loblolly Pine ◽  
Stem Volume ◽  
Simple Equations ◽  
Volume Estimates ◽  
Volume Equations

Abstract Foresters commonly wish to predict tree volume for various top diameters. However, tree volume equations are generally restricted to specific top limits. Further, volume equations for various top limits often cross illogically. This study was conducted with the objective of developing logically related cubic-foot volume estimates for any desired top diameter limit. The approach taken was to predict total stem volume and to convert total volume to merchantable volumes by applying predicted ratios. Results reported here enable users to employ relatively simple equations to obtain cubic-foot volume to any top diameter limit. Volume between any two specified diameters on the stem can be obtained by subtraction.

scholarly journals An Evaluation of Selection for Volume Growth in Loblolly Pine

2008 ◽  
Vol 57 (1-6) ◽  
pp. 22-28 ◽  
Author(s):  
J. R. Sherrill ◽  
T. J. Mullin ◽  
B. P. Bullock ◽  
S. E. Mckeand ◽  
R. C. Purnell ◽  
...  
Keyword(s):  
Loblolly Pine ◽  
Selection Criterion ◽  
Direct Determination ◽  
Stem Volume ◽  
Bark Thickness ◽  
Diameter At Breast Height ◽  
Breast Height ◽  
Stem Taper ◽  
Selection For ◽  
Volume Estimates

Abstract Total inside-bark volume is the most important selection criterion for productivity in tree breeding programs in the Southeastern U.S. Tree breeders typically estimate total inside-bark volume based on outside-bark diameter at breast height and total height without accounting for stem taper or bark thickness. To make a direct determination of total inside- and outside-bark volume, a loblolly pine (Pinus taeda L.) open-pollinated family trial replicated with cultural treatments of weed control and fertilization was measured. This direct measurement was compared to typical volume estimates. In this trial, approximately 40 individuals from each of 25 open-pollinated first- and second-generation families were destructively sampled in the 13th growing season. Selection for volume using a combined-variable (diameter2 * height) equation was found to be highly effective for making volume gain. There was a high correlation between estimated and directly-measured total inside-bark volumes (0.99). Bark thickness and stem taper had low importance for stem volume selection. There was a positive genetic correlation between bark thickness and diameter at breast height (0.66). This indicates that selection for larger diameters may produce individuals with thicker bark, which may eventually affect total inside-bark volume estimates.

scholarly journals STRATEGIES FOR STEM MEASUREMENT SAMPLING: A STATISTICAL APPROACH OF MODELLING INDIVIDUAL TREE VOLUME

CERNE ◽  
2016 ◽  
Vol 22 (3) ◽  
pp. 249-260 ◽  
Author(s):  
Hassan Camil David ◽  
Rodrigo Otávio Veiga Miranda ◽  
John Welker ◽  
Luan Demarco Fiorentin ◽  
Ângelo Augusto Ebling ◽  
...  
Keyword(s):  
Standard Deviation ◽  
Statistical Tests ◽  
Fixed Number ◽  
Stem Volume ◽  
Diameter Class ◽  
Clear Trend ◽  
Data Set ◽  
Individual Tree ◽  
Volume Estimates ◽  
Volume Equations

ABSTRACT The aim of this paper was to evaluate different criteria for stem measurement sampling and to identify the criterion with best performance for developing individual tree volume equations. Data were collected in eucalyptus stands 58 to 65 months old. Schumacher-Hall model was applied using five sampling criteria with nine variations (45 in total): 1) number of trees per diameter class, being (a) fixed number, (b) proportional to the diameter class of the sample, or (c) proportional to the standard deviation of the sample; and 2) the width of the diameter class, which ranged from 1.0 up to 5.0 cm. We used the equations generated from each of the five sampling criteria to estimate stem volume of trees reserved for validation. This allowed us to obtain standard errors of estimates from this data-set. In addition, residuals of volume estimates were examined by means of statistical tests of bias, autocorrelation and heteroscedasticity. Better performances of volume equations occurred when smaller diameter class widths were used, i.e., when the sample size increased. There was no clear trend in increasing/decreasing residual autocorrelation and/or heteroscedasticity. Both methods of sampling proportional to the frequency of diameter class had the best performances, inclusive using only 36 trees. The ones where choice of trees was proportional to the standard deviation had the worst. In conclusion, the selection proportional to the frequency of the diameter class, under the condition that at least two trees per class are sampled, provides models statistically better than all the other criteria.

scholarly journals Total and Merchantable Stem Volume Equations for Midrotation Loblolly Pine (Pinus taeda L.)

2011 ◽  
Vol 35 (3) ◽  
pp. 105-108 ◽  
Author(s):  
Joshua R. Sherrill ◽  
Bronson P. Bullock ◽  
Timothy J. Mullin ◽  
Steven E. McKeand ◽  
Robert C. Purnell
Keyword(s):  
Loblolly Pine ◽  
Atlantic Coastal Plain ◽  
Stem Volume ◽  
Silvicultural Treatments ◽  
Continuous Forest ◽  
Four Levels ◽  
Pinus Taeda L ◽  
First And Second Generation ◽  
Atlantic Coastal ◽  
Volume Equations

Abstract Combined-variable (D2H) and exponential-ratio equations are presented for predicting stem volume of loblolly pine in the Atlantic Coastal Plain of the southeastern United States. The equations were derived using 985 stems in a replicated study with first- and second-generation open-pollinated families across four levels of weed control and fertilization treatments. Prediction equations include inside- and outside-bark total volume and inside- and outside-bark merchantable volume to any top-limit diameter. Each equation has an R2 of 0.962 or higher and root mean square error of 0.354 ft3 or lower. The diversity of genetic backgrounds and silvicultural treatments gives the equations broad applicability in situations such as first thinning cruises, tree improvement progeny tests, silviculture research trials, and continuous forest inventory.

scholarly journals COMPATIBILITY BETWEEN THE STEM VOLUME AND TAPER EQUATIONS VOLUME FOR BLACK WATTLE TREES

FLORESTA ◽  
2020 ◽  
Vol 50 (3) ◽  
pp. 1518
Author(s):  
Marcos Behling ◽  
Henrique Soares Koehler ◽  
Alexandre Behling
Keyword(s):  
Traditional Approach ◽  
Stem Volume ◽  
System Of Equations ◽  
Data Set ◽  
Taper Function ◽  
Black Wattle ◽  
Taper Equations ◽  
Volume Estimates ◽  
Forest Engineering

A system of equations widely used in Forest Engineering by the international community of researchers consists of a combination of a volumetric function and a taper function, with the purpose of making volume estimates compatible. When using the volume function and the taper function in a system, the result of the volume estimated by the two functions should be compatible, meaning that the volume estimated by the volumetric function should not differ from the volume obtained by integrating the taper function. Thus, the purpose of this paper was to develop and present the procedures of a system of equations to make volume estimates from both volume and taper equations compatible, and then compare it to the traditional approach, which is used in forestry companies. The procedures proposed were applied to a data set on the Acacia mearnsii De Wild. (black wattle) at sites where the plantation of this species is concentrated in the state of Rio Grande do Sul. The data set included 343 trees ranging from 5 to 10.75 years of age. It was noted that the lack of volume compatibility, in absolute terms, grows exponentially with the size of the tree. The quality of the estimates using the system of compatible equations did not differ from those obtained from the traditional model, therefore, the former is preferable. Furthermore, it was noted that the residuals from the volume and taper equations are correlated, which suggests that the system of equations be fitted simultaneously.

Compatible taper and stem volume equations for Larix kaempferi (Japanese larch) species of South Korea

2017 ◽  
Vol 14 (7) ◽  
pp. 1341-1349 ◽  
Author(s):  
Nova D. Doyog ◽  
Young Jin Lee ◽  
Sun Joo Lee ◽  
Jin Taek Kang ◽  
Sung Yong Kim
Keyword(s):  
South Korea ◽  
Japanese Larch ◽  
Stem Volume ◽  
Larix Kaempferi ◽  
Larch Species ◽  
Volume Equations

Cubic-Foot Volume of Loblolly Pine to Any Height Limit

1980 ◽  
Vol 4 (4) ◽  
pp. 166-168 ◽  
Author(s):  
Quang V. Cao ◽  
Harold E. Burkhart
Keyword(s):  
Pinus Taeda ◽  
Loblolly Pine ◽  
Stem Volume ◽  
Pinus Taeda L

Abstract Flexible methods for computing the contents of various portions of tree boles are necessary with today's changing utilization standards. Equations are presented for estimating the cubic-foot volume of loblolly pine (Pinus taeda L.) trees to any desired height. The procedure involves predicting total stem volume and converting total volume to merchantable volume.

scholarly journals Individual Tree Volume Equations for Red Pine in Michigan

1997 ◽  
Vol 14 (2) ◽  
pp. 53-58 ◽  
Author(s):  
Gary W. Fowler
Keyword(s):  
Red Pine ◽  
Data Sets ◽  
Regression Equations ◽  
Independent Data ◽  
Data Set ◽  
Individual Tree ◽  
Standing Trees ◽  
Pine Stands ◽  
Volume Estimates ◽  
Volume Equations

Abstract New total, pulpwood, sawtimber, and residual pulpwood cubic foot individual tree volume equations were developed for red pine in Michigan using nonlinear and multiple linear regression. Equations were also developed for Doyle, International 1/4 in., and Scribner bd ft volume, and a procedure for estimating pulpwood and residual pulpwood rough cord volumes from the appropriate cubic foot equations was described. Average ratios of residual pulpwood (i.e., topwood, cubic foot or cords) to mbf were developed for 7.6 and 9.6 in. sawtimber. Data used to develop these equations were collected during May-August 1983-1985 from 3,507 felled and/or standing trees from 27 stands in Michigan. Sixteen and 11 stands were located in the Upper and Lower Peninsulas, respectively. All equations were validated on an independent data set. Rough cord volume estimates based on the new pulpwood equation were compared with contemporary tables for 2 small cruise data sets. The new equations can be used to more accurately estimate total volume and volume per acre when cruising red pine stands. North. J. Appl. For. 14(2):53-58.

scholarly journals A model form for stem taper and volume estimates of Asian white birch (Betula platyphylla): a major commercial tree species of Northeast China

2019 ◽  
pp. 274-286 ◽  
Author(s):  
Muhammad Khurram Shahzad ◽  
Amna Hussain ◽  
Lichun Jiang
Keyword(s):  
Northeast China ◽  
Individual Species ◽  
Betula Platyphylla ◽  
White Birch ◽  
Box Plots ◽  
Stem Taper ◽  
Overall Evaluation ◽  
Betula Platyphylla Suk ◽  
Volume Estimates ◽  
Volume Equations

Stem taper functions are valuable tools for the study of stem profile and predict volume estimates. Such functions have long been analyzed for different birch species in the world. However, Asian white birch (Betula platyphylla Suk.) has not yet been investigated as an individual species in China or abroad. This study presents stem taper and volume equations for B. platyphylla in Northeast China. Eight commonly used taper functions were fit to the data of 615 destructively sampled trees from two regions of Northeast China. A second-order continuous autoregressive error structure was incorporated to address the autocorrelation in the data and to achieve the valid parameter estimation. The condition number was used to detect the multicollinearity in the models. The taper functions were compared in terms of overall evaluation statistics and by examining the box plots of diameter and volume residuals against relative heights and diameter classes. The equations of A. Kozak (2004, For. Chron. 80(4): 507–515; model 2), Z. Fang et al. (2000, For. Sci. 46(1): 1–12), and H. Bi (2000, For. Sci. 46(3): 397–409) were the leading models for diameter and volume estimates. Overall, the equation of Z. Fang et al. (2000, For. Sci. 46(1): 1–12) exhibited the best results for estimating diameter and total and merchantable volumes in terms of statistical performance and lower multicollinearity.

scholarly journals Taper, Volume, and Weight Equations for Red Pine in West Virginia

2008 ◽  
Vol 25 (3) ◽  
pp. 151-153 ◽  
Author(s):  
Lichun Jiang ◽  
John R. Brooks
Keyword(s):  
West Virginia ◽  
Ease Of Use ◽  
Red Pine ◽  
Seemingly Unrelated Regression ◽  
Stem Volume ◽  
West Virginia University ◽  
Individual Tree ◽  
Unrelated Regression ◽  
Taper Equation ◽  
Volume Equations

Abstract Compatible taper, volume, and weight equations were developed for planted red pine in West Virginia. The data were based on stem analysis of 26 trees from West Virginia University Research Forest, located in northern West Virginia. A commonly used segmented polynomial taper equation was chosen because of its balance between prediction accuracy and ease of use. Seemingly unrelated regression was used to simultaneously fit the system of equations for inside and outside bark data. When compared with existing total stem volume equations developed by Fowler (Fowler, G.W., 1997, Individual tree volume equations for red pine in Michigan, North. J. Appl. For. 14:53–58) and by Gilmore et al. (Gilmore, D.W., et al., 2005, Thinning red pine plantations and the Langsaeter hypothesis: A northern Minnesota case study. North, J. Appl. For. 22:19–25), a positive bias was evident that increased directly with stem diameter for trees from this region.

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