Cubic-foot volumes for loblolly pine trees in old-field plantations in the interior west gulf coastal plainhttps://scholarworks.sfasu.edu/texas_forestry_papers/1023/thumbnail.jp

Hasness, J. Robert

Lenhart, J. David

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Stephen F. Austin State UniversitySFA ScholarWorksTexas Forestry Papers, No. 1-29, 1970-1976 Journals1-1972Texas Forestry Paper No. 12J. Robert HasnessStephen F. Austin State UniversityJ. David LenhartStephen F. Austin State UniversityFollow this and additional works at: http://scholarworks.sfasu.edu/texas_forestry_papersPart of the Other Forestry and Forest Sciences CommonsTell us how this article helped you.This Book is brought to you for free and open access by the Journals at SFA ScholarWorks. It has been accepted for inclusion in Texas Forestry Papers,No. 1-29, 1970-1976 by an authorized administrator of SFA ScholarWorks. For more information, please contact cdsscholarworks@sfasu.edu.Recommended CitationHasness, J. Robert and Lenhart, J. David, "Texas Forestry Paper No. 12" (1972). Texas Forestry Papers, No. 1-29, 1970-1976. Book 24.http://scholarworks.sfasu.edu/texas_forestry_papers/24I TEXAS FORESTRY PAPER SCHOOL OF FORESTRY STEPHEN F. AUSTIN STATE UNIVERSITY Nacogdoches, Texas NO. 12 - JANUARY 1972 CUBIC - FOOT VOLUMES FOR LOBLOLLY PINE TREES IN OLD-FJELD PLANTATIONS IN THE JNTE~JOR WEST GULF COASTAL PLAIN J. Robert Hasness and J. David Lenhart 1 Prediction equations and resulting tables are presented fer estimating the cubic-foot volume of individual loblolly pine (Pinus taeda L.) trees based on diameter at breast height and tot al height. Eight different merchantability standards are used . FIELD PROCEDURE During the summer of 1971, four sample trees were randomly located in each of 158 unthinned old-field loblolly pine plantations throughout the Interior West Gulf Coastal Plai1!il (Figure 1.) The distribution of the 158 plantations by age, site index, and trees per acre classes is tabulated in Table l. In each plantation usually two or three of the four sam ole t rees were dom-inant or codominant, while one or two were intermediate or suppressed. Each sample tree was felled, leaving a 6-inch tall stump, and sectioned into 4-foot bolts to a 2-inch or smaller diameter-outside bark (d .o.b.) top limit. Stem analysis data collected from each felled and sectioned tre:e consisted of: 1. Diameter at breast height , outside bark (D). 2. Total height including stump-height (H) . 3. Diameter outside bark and inside bark at the stump and at the top of each 4-foot lblil~l. 1 Graduate Research Assistant and Assistant Professo r of Forest Biometrics , respect ively, School of l'oreslry . Stephen F. Austin Stale University. Research for this project was supported in part by funds made ava ilable under the Mcint ire-Stennis Act . _ .. -:-2 The distribution of the 632 sample trees by diameter at breast height and total height classes is shown in Table 2. --~-:_.'.I ;· Figure I. Distribution of the sample plantations by counties within the Interior West Gulf Coastal Plain. ., . ;-.·· ' .· · i 3 Table 1. Number of sample plantations, by site index (base age 25) , stand density levels , and age. Trees Site In dex Per Acre Age 40 50 60 70 80 Total -:: 450 IO I I IS 7 4 2 I4 20 2· 3 5 . 25 2 3 30 I I !l Total 8 6 8 24 500 IO I 6 7 IS 2 I8 3 23 20 2 2 5 25 I I 30 Total 3 26 6 36 600 IO 3 2 I 6 IS 2 6 4 12 20 I I 2 25 30 t otal 5 9 6 20 700 IO 4 I 6 IS I3 4 I9 20 2 2 25 30 Total 2 I9 5 27 800 IO 5 5 IS 7 9 20 I 25 30 Total 12 2 15 900 10 5 7 15 5 5 20 2 3 25 'l! 30 Total 3 10 2 15 ~951 10 4 4 8 15 4 7 12 20 I 25 ~otal 8 i1 2 21 TOTAL 23 95 29 9 2 I 58 4 Table 2. Number of sample trees, by total height and diameter classes. Diameter at Total height - feet brea st height, 25 30 35 40 45 50 55 60 65 70 75 80 85 To t a I o. b . inches 5 11 34 83 82 23 5 239 6 9 31 56 38 13 5 152 7 9 34 44 14 12 2 116 8 3 12 23 16 3 6 63 9 2 9 10 3 6 32 10 4 3 2 2 13 11 2 2 2 7 12 2 3 13 2 3 14 1 15 16 17 18 19 TOTAL 11 43 127 186 138 65 27 18 5 5 5 2 632 PREDICTION EQUATIONS For each sample tree the cubic-foot volumes of each bolt measured outside bark (o.b.) and inside bark (i.b.), were determined , using Smalian's formula. The topwood volume (main stem above uppermost bolt) was calculated as a cone. The bolt and cone volumes were summed to give total volume o.b. and i.b. for the entire tree. Volumes o.b. and i.b . to a 2-inch d.o.b., 3-inch d.o.b., and 4-inch d.o.b. merchantability limit were calculated for each tree by summing the bolts below the bolt in which the top diameter limit occurred, plus the partial volume of the latter found by linear interpolation on cross-sectional area. Each of the resulting eight different volumes for each tree was entered, together with its diameter at breast height and total height, as input in a regression analysis. The equations for predicting the cubic-foot volumes per tree, inside and outside bark, for whole trees, and merchantable portions to 3 diameter limits, are: (1) Total volume (o.b.) = 0.0023035D2H + 0.13698 (2) Total volume (i.b.) = 0.0019571D2H- 0.08461 (3) Volume (o.b.) to a 2-inch top (d.o.b.) = 0.0023050D2H + 0.06159 (4) Volume (i.b.) to a 2-inch top (d.o.b .) = 0.0019584D2H- 0.14520 (5) Volume (o .b .) to a 3-inch top (d.o.b.) = 0.0023164D2H- 0.15438 (6) Volume (i.b.) to a 3-inch top (d.o.b.) = 0 .0019680D2H- 0.32395 (7) Volume (o.b.) to a 4-inch top (d.o.b.) = 0 .0023521D2H- 0.70594 (8) Volume (i.b.) to a 4-inch top (d.o.b .) = 0.0019973J)2H- 0.78752 ' ~) ~ J Each equation accounted for 98% or more of the total variation in volume, and the stan-dard deviation about regression varied from 0.516 to 0.669 . The values shown in Tables 3 through I 0 were calculated from equations (1) through (8), respectively. Within the range of diameters and heights given in Tables 3 through I 0, the equations to predict volumes to different top utilization limits do not intersect one another. They may in some instances intersect beyond the scope of the tables . As with most volume tables , extrapolation be-yond published sizes may introduce sizable error. Table 3. Total volume, outside bark , cubic feet , for loblolly pine trees. D. b. h. Total height , feet inches 20 25 30 35 40 45 50 55 60 65 70 75 5 1.29 1.58 1.86 2.15 2.44 2.73 3.02 3.30 3.59 6 2.21 2.62 3.04 3.45 3.87 4 .28 4 .70 5 .li 5.53 5.94 7 3.52 4.09 4.65 5.22 5.78 6.34 6.9I 7.47 8.04 8 4.56 5.30 6.03 6.77 7.5I 8 .25 8.98 9.72 10.46 9 5.73 6.67 7.60 8.53 9.47 10.40 II.33 12.26 13 .20 10 8.20 9.35 I0 .50 Il .65 I2.8I I3 .96 I5 .II 16.26 17.41 11 I2 .68 I4.07 I5.47 I6 .86 I8.25 I9. 65 21.04 12 I5 .06 I6.72 I8 .38 20 .04 21.70 23 .36 25.01 13 I7 .66 I9.60 21.55 23.49 25.44 27.39 29.33 14 22 .71 24.97 27 .23 29.48 31.74 34.00 Table 4. Total volume, inside bark, cubic feet , for loblolly pine trees . D. b. h. Total height, feet inches 20 25 30 35 40 45 so 55 60 65 70 75 --~-- -- -5 0.89 l.l4 1.38 1.63 L87 2.12 2.36 2.61 2.85 6 1.68 2.03 2.38 2.73 3.09 3.44 3.79 4.14 4.50 4.85 7 2.79 3.27 3.75 4.23 4.71 5.19 5.67 6.15 6.63 8 3.67 4.30 4 .93 5.55 6.18 6.80 7.43 8.06 8.68 9 4.67 5.46 6.26 7.05 7.84 8.63 9.43 10.22 II.OI 10 6.77 7.74 8.72 9.70 10.68 11 .66 12.64 13.62 11 10.57 11.76 I2.94 14.12 15.31 16.49 17.68 12 12 .60 I4 .0 I IS .42 16.82 18.23 19.64 21.05 13 I4.80 16.45 18.Il 19.76 21.4 1 23.07 24 .72 14 19.09 2I.Ol 22.93 24.85 26.77 28.68 5 6 Table 5. Merchantable volume , o utside bark , cubic feet , to 2 .0-inch top d .o .b ., for loblolly pine. D. b. h. inches 5 6 7 8 9 10 II 12 13 14 trees. 20 1.21 25 !.50 2. 14 30 1.79 2.55 3.45 4.49 5.66 35 2.08 2.97 4.01 5.22 6.(:/J 8. 13 Total height, feet 40 45 50 55 60 65 70 2.37 2.65 2.94 3.23 3.52 3.38 3.80 4.21 4.63 5.04 5.46 5.87 4.58 5.14 5.71 6.27 6.84 7.40 7.97 5.96 6.70 7.44 8.18 8.91 9.65 10.39 7.53 8.46 9.40 10.33 11.26 12.20 13.13 9.28 10.43 11.59 12.74 13.89 15.04 16.20 12.61 14.01 15.40 16.80 18.19 19.58 15.00 16.66 18.32 19.98 21.64 23.30 17.59 19.54 21.49 23.43 25.38 27.33 22.65 24.9 1 27.17 29.43 31.69 75 20.98 24.96 29.28 33.95 Table 6. Merchantable volume , inside bark , cubic feet , to 2 .0-inch top d .o.b. for loblolly pine trees. D. b. h. inches 20 5 6 7 8 9 10 11 12 13 14 0.83 25 108 1.62 30 1.32 1.97 2.73 3.61 4.61 35 1.57 2.32 3.21 4.24 5.41 6.71 Total height , feet 40 45 50 55 60 1.81 2.67 3.69 4 .87 6.20 7.69 2.06 3.03 4.17 5.49 6.99 8.67 10.52 12.55 14.75 2.30 2.55 2.79 3.38 3.73 4.08 4.65 5.13 5.61 6.12 6.75 7.38 7 .79 8 .58 9.37 9 .65 10.63 11.61 11.70 12.89 14.07 13 .96 15.37 16.78 16.40 18 .06 19.71 19.05 20.97 22.89 65 70 4.44 4.79 6.09 6.57 8.00 8.63 10.17 10.96 12.58 13 .56 15.26 16.44 18.19 19 .60 21.37 23 .02 24.80 26 .72 75 17.63 21.01 24.68 28 .64 Table 7 . Merchantable volume , outside bark, cubic feet, to 3.0-inch d .o.b . loblolly pine trees. D. b. h. inches 5 6 7 8 9 10 11 12 13 14 20 :. 1.00 25 1.29 l.93 30 1.58 2.35 3.25 4.29 5.47 35 1.87 2.76 3.82 5.03 6.41 7.95 Total height, feet 40 45 50 55 60 2.16 2.45 2.74 3.03 3.32 3.18 3.60 4.02 4.43 4.85 4.39 4.95 5.52 6.09 6.66 5.78 6.52 7.26 8.00 8.74 7.35 8.29 9.23 10.17 11.10 9.11 10.27 11.43 12.59 13 .74 12.46 13.86 15 .26 16.66 65 5.27 7.22 9.48 12.04 14.90 18.06 70 5.68 7.79 10.22 12.98 16.06 19.47 75 20.87 14.86 16.52 18.19 19.86 21.53 23 .19 24.86 17.46 19.42 21.38 23.33 25.29 27.25 29.21 22.55 24.82 27.09 29.36 31.63 33.90 7 Table 8. Merchantable volume, inside bark, cubic feet, to 3.0 inch d .o .b., for loblolly pine trees. D. b. h. Total height, feet inches 20 25 30 35 40 45 50 55 60 65 70 75 5 0.66 0.91 1.15 1.40 1.64 1.89 2.14 2.38 2.63 6 1.45 1.80 2.16 2.51 2.86 3.22 3.57 3.93 4.28 4 .64 7 2.57 3.05 3.53 4.02 4.50 4.98 5.46 5.94 6.43 8 3.45 4 .08 4.71 5.34 5.97 6.60 7.23 7.86 8.49 9 4.46 5.26 6.05 6.85 7.65 8.44 9.24 10.04 10.83 10 6.56 7.55 8.53 9.52 10.50 11.48 12.47 13.45 11 10.39 11.58 12.77 13.96 15 .15 16.35 17 .5 4 12 12.43 13.85 15.26 16.68 18.10 19 .51 20 .93 13 14.64 16.31 17 .97 19 .63 21.29 22.96 24.62 14 18.96 20.89 22.82 24.75 26.68 28 .~L Table 9. Merchantable volume, outside bark, cubic feet, to 4.0-inch top d.o.b ., for loblolly pine trees. D. b. h. Total height, feet inches 20 25 30 35 40 45 50 55 60 65 70 75 5 0.47 0.76 1.06 1.35 1.65 1.94 2.23 2.53 2.82 6 1.41 1.83 2.26 2.68 3.10 3.53 3.95 4.37 4.80 5.22 7 2.75 3.33 3.90 4.48 5.06 5.63 6.21 6.79 7.36 8 3.81 4.56 5.32 6.07 6.82 7.57 8.33 9.08 9.83 9 5.01 5.96 6.91 7.87 8.82 9.77 i0.73 11 .68 12.63 10 7.53 8.70 9.88 11.05 12.23 13.41 14.58 15.76 11 12.10 13.52 14.95 16.37 17.79 19.22 20.64 12 14.54 16.23 17.92 19.62 21.31 23.00 24.70 13 17.18 19.17 21.16 23.14 25 .13 27.12 29.11 14 22.34 24.65 26.95 29.26 31.56 33.87 Table 10. Merchantable volume, inside bark , cubic feet, to 4.0 d.o.b. for loblolly pine trees. D. b.h Total height, feet inches 20 25 30 35 40 45 50 55 60 65 70 75 5 0.21 0.46 0.71 0.96 1.21 1.46 1.71 1.96 2.21 6 1.01 1.37 1.73 2.09 2.45 2.8 1 3.17 3.53 3.89 4 .25 7 2. 15 2.64 3.13 3.62 4.11 4 .60 5.08 5.57 6.06 8 3.05 3.69 4.33 4.96 5.60 6.24 6.88 7 .52 8.16 9 4.07 4.87 5 .68 6.49 7.30 8.11 8.92 9.73 10 .54 10 6.20 7.20 8.20 9.20 10.20 11 .20 12.19 13.19 I 1 10.09 11 .30 12.50 13 .71 14.92 16 .13 17 .34 12 12 .15 13.59 15.03 16.47 17.91 19.35 20.78 13 14.40 16.09 17 .78 19.47 21 .15 22.84 24.53 14 18 .79 20.74 22.70 24 .66 26.62 28.57 

Texas Forestry Paper No. 12

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Texas Forestry Paper No. 12

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