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1950

Form class volume tables for use in southern pinepulpwood timber estimatingCharles Oscar Minor

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Recommended CitationMinor, Charles Oscar, "Form class volume tables for use in southern pine pulpwood timber estimating" (1950). LSU AgriculturalExperiment Station Reports. 185.http://digitalcommons.lsu.edu/agexp/185

Louisiana Bulletin No. 445 June, 1950

FORM CLASS VOLUME TABLES

for Use in

SOUTHERN PINE PULPWOOD

TIMBER ESTIMATING

BY

Charles O. Minor

TECHNOLOGY AND SCIENCE ROOM

OF MARV'

WAR 27 19b

Louisiana State UniversityAND

Agricultural and Mechanical CollegeAgricultural Experiment Station

W. G. Taggart, Director

INDEX TO PULPWOOD VOLUME TABLES

Unit of

Volume

Height

Classification

Form Class Table

Number

Page

NumberClass

67 65-69 lA 10

Cubic Feet 72 70-74

Total 1 77 75-79 3A 14

Height f 82 80-84 4A 16

J 87 85-89 5A 18

67 65-69 IB 11

72 70-74 2B 1 alo

Merchantable L77 75-79 3B 15

HeightJ 82 80-84 4B 17

87 85-89 5B 19

67 65-69 6A 20

Rough CordsTotal

1

72 70-74 99

77 75-79 8A 24

Height Y 82 80-84 9A 26

J 87 85-89 lOA 28

67 65-69 6B 21

72 70-74 7B 43

MerchantaDie s.77 75-79 8B 25

Height J 82 80-84 9B 27

87 85-89 lOB 29

67 65-69 llA 30

Cords perTotal

[

72 70-74 1 9 A 04

Tree 77 75-79 13A 34

Heightf' 82 80-84 14A 36

J 87 85-89 15A 38

67 65-69 IIB 31

72 70-74 12B 33

Merchantable v 77 75-79 13B 35

Height f 82 80-84 14B 37

87 85-89 15B 39

2

Form Class Volume Tables

for Use in

Southern Pine Pulpwood Timber EstimatingBY Charles O. Minor

Introduction

The volume tables included in this publication have beendeveloped for use in estimating pulpwood contents of southern pinetrees and stands. The tables were constructed to fill a need for pulpwoodvolume tables which would incorporate the principle of 'Torm Class"in computing tree volumes. In too many cases existing pine pulpwoodvolume tables do not take into account the effect upon tree volume ofdifferences in degree of taper in trees of the same diameter and height.When the effect of taper is considered in present-day volume tables it is

usually through types of taper or form recognition other than thesimple, easily applied form class method. The development by Girardand Mesavage (1) ^ of form class volume tables for sawlog-size timberand the subsequent adoption of their tables on almost a nation-widebasis, has, it is believed, brought about a need for pulpwood volumetables which would also use the form, class principle in separating treetaper variations.

Work on the present tables was first begun in 1947 owing todissatisfaction on the part of the writer, and others, with existing pulp-wood tables. Especially poor results were obtained when the availabletables were demonstrated to students during field practice in pulpwoodtimber estimating. In such cases where only relative degrees of accuracywere expected or desired, it was obvious to even the most inexperiencedstudents that some degree of recognition of differing tree tapers or formwould be desirable. This was especially apparent in view of the simpleapplication of form class to saw-log timber cruising and the resultantaccuracy gained. Also during the period of adoption of the Girard andMesavage sawlog volume tables (1) several industrial foresters madespecific inquiries of the writer as to the possibility of developing formclass volume tables for pulpwood. In view of the above, and because of abelief that pulpwood volume tables should show an improvement inaccuracy commensurate with the increased present-day demand forpulpwood, the volume tables presented herein were constructed.

'Numbers in parentheses refer to literature cited as listed in the bibliography.

3

Use of the Volume Tables

These tables are designed for use in determining volumes of

southern pine trees of normal pulpwood size. Utilization of the trees

is assumed to be average present-day standards as regards minimum and

maximum diameters breast high and minimum merchantable top di-

ameters. If information is desired regarding cubic contents of the mer-

chantable portions of sawlog-size trees the reader is referred to the recent

volume tables published by the Southern Forest Experiment Station (2).

Volumes are presented in a number of forms m the following

tables to make their application as simple and usable as is feasible.

The tables (A) on the left hand pages are based upon total tree height,

to the nearest 10 feet; the tables (B) on right hand pages are based upon

merchantable length of the stem, by 5-foot intervals. Furthermore, mboth A and B tables the tree volumes are expressed m three separate

wavs!

(a) Merchantable cubic foot volume (inside bark) per tree,

b) Standard stacked cords (128 cubic feet) of rough (unpeeled)

pulpwood per tree. Hereafter these will be referred to as

rough cords,

(c) Trees per rough cord.

Use of the included tables requires the determination of form class

m similar fashion as in sawlog cruising. Form class refers to the usual

percentage ratio between inside bark diameter at the top of the first 16-

foot log and the diameter outside bark at breast height, as was developed

in the previously mentioned tables of Girard and Mesavage (1). In saw-

los timber cruising, form class is commonly measured or estimated

ocularly to the nearest one or two percent; however, since these volurne

tables are designed for application to pulpwood size trees where shght

variations in form may be difficult to determine, the tables have been

constructed by form class groups. Each group covers a range of five

form classes, or five percent, much as recommended by M-av^g^ g>Therefore the tables require only the estimation of form class withm

one of these five-percent groups., u, j:,^^f^r

Tables designated A are based upon total tree height, diameter

breast high (outside bark) and form class, and give 'he merchantable

pulpwood contents per tree to a variable top diameter^

Seter, as determined by bole size branches, ^^^^^^^^^^^l^'XTJ

factor averaged about 3 inches inside bark) for all but the larger trees.

No at'tempt was made to set a specific top size, but rather an average

mLhanTble length per total h^ht was established for each diameter

These total height tables are designed primarily for use in pulp

wood cruising when only diameters are tallied on all trees on the

Tmple plot o? strip. By this method it is necessary only to measure a suf-

4

ficient sample of total heights to establish a satisfactory curve of heightover diameter. Then a "local volume table" is constructed by interpolat-ing, from the proper form class group volume table, a volume for eachdiameter class, based upon diameter breast high and curved total height.

The advantage of tables based upon total height lies in theeasier, more accurate measurement of total height, as compared with therather difficult estimation or measurement of merchantable height inpulpwood-size trees. Total height is a more definite, fixed point ofmeasurement, while merchantable height is extremely variable andchoice of the point of top measurement will differ between various es-

timators. Because of these factors of ease and accuracy, and because totalheight volume tables readily lend themselves to application of the localvolume table method of cruising with its reduction in necessary field work,it is felt that the volume tables based on total height should be applied inthe majority of pulpwood estimates. The limiting factors regardingthese total height tables are that the stands be second growth southernpine and that utilization standards be similar; i.e., minimum topdiameter approximately 3 inches inside bark. These limitations occurbecause of the necessary merchantable height-total height ratios.

The volume tables designated B show the merchantable contentsof pulpwood-size trees based upon merchantable stem length, diameterbreast high (outside bark) and form class. Here again the top diameter is

variable because the merchantable length is to the limit of pulp-wood merchantability. The average top diameter, however, is about 3inches inside bark. Heights are by 5-foot intervals for easier estimationor measurement. Also the present practice of cutting pulpwood boltsinto lengths of 5 feet, or close proximity, would logically lead to con-version of the tables, by the user, into terms of number of bolts pertree in place of the present 5-foot heights.

These merchantable stem length tables may be applied in thenormal manner as "standard" volume tables where the diameter andheight of every tree is determined, or the "local volume table" procedureas described for the total height tables also may be applied, usingmerchantable length over diameter as the variable for curving.

With several reservations the writer ventures to suggest that

these merchantable length volume tables might be applied to the so-

called "pulping" hardwoods where pulpwood volumes are desired. How-ever, differences in standards of utilization, particularly as regardsminimum top diameter and utilization of branch wood, may invalidateuse of the included tables.

Method of Table ConstructionThe writer makes no claim as to originality regarding the method

of construction used in these volume tables. Procedures developed byothers, particularly Mesavage (2) , were drawn upon freely. The objecti\e

5

throughout was to develop a set of tables which would meet certain

preconceived ideas as to volume presentation and methods of applica-

tion, with no thought in mind of developing any new techniques of

construction. The writer does make one claim and that is to having

used, during early work on these tables, the technique of applying

Ruber's formula to the butt-log portion of the tree, prior to publication

by Mesavage of tables in which the same technique appeared.

Field work in gathering data for table construction consisted of

making individual tree analyses to establish certain curves, ratios, and

other values which would be used in office computations. Various pine

pulpwood cutting operations were visited throughout the Florida

Parishes of Louisiana. As an individual tree was felled and bucked by

the pulpwood cutters, measurements were made of the diameter inside

and outside bark at the stump, at breast height, at 16 feet above the

stump, and at the top of each bolt cut from the tree. The height of the

stump was measured, as were the length of each pulpwood bolt and the

length of the unused top. In addition other data were gathered regard-

ing age and growth at various sections of the tree bole. Information of

this nature was compiled on 300 pulpwood-size trees.

The field data were curved to yield information on taper in the

top 8 feet of the first 16-foot log, merchantable lengths for various total

heights, and the ratio of mid-diameter (inside bark) above 16 feet to

diameter (inside bark) at 16 feet. With these relationships established

the basic procedure outlined by Mesavage (2) was followed in computmg

cubic foot volumes. Briefly the procedure is as follows:

a. Tree diameter breast high multiplied by form class equals

diameter (inside bark) at top of first 16-foot log.

b. Diameter (inside bark) at top of first 16-foot log plus taper of

upper 8 feet of first 16-foot log equals mid-diameter (mside

bark) of first log.

c. Basal area (square feet) corresponding to mid-diameter (mside

bark) of first log multiplied by 16 feet equals cubic foot

volume (inside bark) of first 16-foot log.

d. Diameter (inside bark) at top of first 16-foot log multiplied by

percentage ratio equals mid-diameter (inside bark) of mer-

chantable stem above 16 feet.

e. Basal area (square feet) corresponding to this upper mid-

diameter (inside bark) multiplied by merchantable length (feet)

above 16 feet equals cubic foot volume (inside bark) above first

16-foot log.

f. Volume of first 16-foot log plus volume of merchantable stem

above 16 feet equals tree volume in cubic feet (inside bark).

The cubic foot volumes (inside bark) were converted to rough

cords by applying conversion factors derived from a combination of the

6

results of other investigators. These conversion factors consisted of a

solid wood content (cubic feet) per stacked cord of rough wood for each

diameter class. Relative solid content values between tree diameters as

determined by Chaiken and MacKinney (3) were curved to agree with

the average conversion factors of the Southern Forest Experiment Station

(2) and compared with a study by Schumacher (4) and with a local study

of the Forest Products Laboratory (5). Validity of the final derived

values was then checked by a limited (12 cords) study using a dot grid

on photographs as described by Mountain (6).

Rough cord volumes per tree were converted into terms of trees

per rough cord by dividing the cord volume into unity; i.e., determina-

tion of the reciprocal of the rough cord volume.

Tests of Table Accuracy

The tables have been given only limited tests within the same

local region from which the original field data were gathered. Because

of this the tables are subject to any changes which may be indicated

through results of their application. The writer would especially ap-

preciate reports on use of the tables and would welcome any suggestions

as to revisions which experience may indicate.

Results of comparing actual tree volumes with volume table

volumes are presented in tabular form as follows:

Table 1: Actual Cubic Foot Volumes Compared with Volume Table \'olumes

AREA No. TreesAct. Vol.

(cu. ft.)

Vol. Tabic(cu. ft.)

DIFF.(percent)

South Livingston

Parish (Loblolly

and Spruce pine)

93 1754.8 1739.4 -0.88

North Livingston

Parish (Loblolly

pine)

93 811.0 813.1 -}-0.26

Washington Parish

(Planted Slash

pine)

55 331.3 313.2 -5.46

St. Helena Parish

(Loblolly andShortleaf pine)

13 168.9 173.5 4-2.72

TOTAL: 254 3066.0 3039.2 -0.87

7

Table 2: Actual Rough Cord Volumes Compared with Volume Table Volumes

AREA No. TreesAct. Vol.

(cords)

Vol. Table

(cords)

DIFF.(percent)

South Livingston

Parish (Loblolly

oc oprucc pinc^

93 22.16 21.99 -0.77

North Livingston

Parish (Loblolly

pine)

93 10.71 10.58 -1.21

Washington Parish

(Planted Slash

pine)

55 4.47 4.14 -7.38

St. Helena Parish

(Loblolly andShortleaf pine)

13 2.20 2.25 +2.27

TOTAL: 254 39.54 38.96 -1.47

Two brief checks on rough cord volumes were made on a

mechanized pulpwood operation in Livingston Parish. Diameter breast

high, total height, and form class were determined on standing trees.

As the trees were felled they were numbered and followed through the

mechanical bucking operation to the point of loading in pulpwood

pallets. The occupied area, in cords, of each pallet was measured and

computed and compared with the volume table volumes. Results of the

tests were as follows:

Test 1: Consisted of 36 trees which when cut occupied 14 pallets.

The pallet volume in cords was computed as 11.77 cords; the

volume table volumes for the 36 trees totalled 11.72 rough cords.

Difference was 0.05 cords or 0.5 percent.

Test 2: On a different area 86 trees and 20 pallets were analyzed.

Pallet volume was computed as 16.60 cords, while volume table

volume for the 86 trees was 16.87 rough cords. Difference was 0.27

cords or 1.6 percent.

One large pulp company in Louisiana has already used the

tables in temporary form and has expressed satisfaction with the results

obtained through their application.

8

BIBLIOGRAPHY

1— Girard, J. W., and Mesavage, Clement.Tables for estimating board-foot volume of timber.

U. S. Dept. Agr., Forest Service. 94 pp. 1946.

2— Mesavage, Clement.

Tables for estimating cubic-foot volume of timber.

So. For. Exp. Sta. Occasional Paper No. 111. 71 pp. 1947.

3— Chaikcn, L. E., and MacKinney, A. L.

Volume, yield, and growth of loblolly pine in the mid-AtlanticCoastal region.

Appal. For. Exp. Sta. Tech. Note 33. 32 pp. 1939.

4— Schumacher, F. X.

Stacked and solid volume of southeastern pulpwood.Jour, of Forestry. 44 (8): 579-582. 1946.

5— Miller, R. H.

Measuring green southern yellow pine pulpwood byweight or by cord.

Paper I rade Journal. V. 113. July 17, 1941.

6— Mountain, H. S.

Determining the solid wood volume of four-foot pulpwoodstacks.

9

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Form

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