Volume table explained

A volume table is a chart to aid in the estimation of standing timber volume. These tables are based on volume equations and use correlations between certain aspects of a tree to estimate the volume to a degree of certainty. The diameter at breast height (DBH) and the merchantable height are used to determine the total volume. Difficulties occur when estimating the form class of the tree in question. The Mesavage and Girard form classes used to classify the trees to decide which volume table should be used. These volume tables are also based on different log rules such a Scribner, Doyle, and International scale. In order to be effective, the proper form class must be selected as well as accurate DBH and height measurements.

Standard Volume Table, International 1/4in Rule, Form Class 80
Volume by 16-ft logs (bd-ft)
DBH (in)1234
10396380
125998127146
1483141186216
16112190256305
18144248336402
20181314427512
22221387528638
24266469644773
26315558767931
283676549041096
3042475810501272
3248587012131480
3455098913831691
36620112115711922
38693125617722167
40770140319772432

History

In 1804, Heinrich Cotta suggested the idea of a volume table.[1] However, it was not carried out until 1846 when the Bavarian Government conducted an extensive study which was used to find the volume of entire stands rather than single trees. From this, variations grew based on variables including growth rate, species, and site index.

Fundamentals

One of the most common ways to calculate volume of a standing tree or of a log is by using the Doyle log rule. This formula uses the small end diameter of a log (D) (in inches) along with the log length (L) (in feet) to estimate the volume of a log. The Doyle log rule on average under estimates the volume of a log. See formula below:

Doyle: Bd.Ft =

L\left(D-4
4

\right)2

Combining the Doyle log rule along with the Mesavage-Girard Form-Class, and Girard Upper-Log Taper Tables gives a quality estimation of log volume on and off stem. Using these Girard's tables one can estimate not only the first log of the tree but also the logs following the butt log.

References

  1. Clark, J.F. 1902. Volume Tables and the bases on which they may be built. Forestry Quarterly. 1:6-11

Sources