SORTIE-ND
Software for spatially-explicit simulation of forest dynamics

# Tree Bole Volume Calculator

This behavior calculates merchantable tree volume. Make sure to distinguish between this behavior and the other tree volume behavior.

### Parameters for this behavior

Parameter nameDescription
Bole Volume Form Class, 60% - 100%Calculates the amount of taper to the top of the first 16-foot log in a tree. This is the diameter at the top of that log, as a percentage of DBH between 60 and 100.
Bole Volume Parameter (b0)The b0 parameter for the bole volume equation.
Bole Volume Parameter (b1)The b1 parameter for the bole volume equation.
Bole Volume Parameter (b2)The b2 parameter for the bole volume equation.
Bole Volume Parameter (b3)The b3 parameter for the bole volume equation.
Bole Volume Parameter (b4)The b4 parameter for the bole volume equation.
Bole Volume Parameter (b5)The b5 parameter for the bole volume equation.

### How it works

Tree volume is calculated as follows:

V = b0 + (b1 * DBH b2) + (b3 * DBH b4 * Height b5)

where:

• V = gross volume in cubic feet
• Height = bole length in feet, as a multiple of 16 (for usable 16-foot logs)
• DBH = DBH in inches
• b0 - b5 are the following parameters: Bole Volume Parameter (b0), Bole Volume Parameter (b1), Bole Volume Parameter (b2), Bole Volume Parameter (b3), Bole Volume Parameter (b4), and Bole Volume Parameter (b5)

The bole length is the number of 16-foot logs the tree can provide, in feet (i.e. 3 logs = bole length of 48 feet). The base of the bole is the top of the cut stump; the top of the bole is the merchantable height. This behavior defines the merchantable height as the height at which the trunk diameter inside the bark tapers to 60% of DBH.

To determine at what bole length the merchantable height occurs, the behavior tries fitting in as many 16-foot logs as possible before the 60% taper occurs. The amount of taper at the top of the first 16-foot log is established by the form classes. A species's form class is the percentage of DBH to which the bole has tapered at the top of the first 16-foot log. This value is entered as the Bole Volume Form Class, 60% - 100% parameter.

Then the behavior determines how many more logs the tree contains. The amount of taper at the top of the first 16-foot log is subtracted from the DBH, to see how much taper is left before the 60% merchantable-height diameter is reached. There is no formula that establishes clearly how many logs will fit; the behavior uses a trial-and-error approach taken from Messavage and Girard, 1956. This paper includes the table below for upper-log taper for trees of various DBH and bole heights. The behavior uses this table to determine the maximum number of logs it can fit into the taper available.

Trees below 10 inches of DBH have no volume. Trees greater than 40 inches of DBH are treated like 40-inch trees.

DBH (in)2-log tree3-log tree4-log tree5-log tree6-log tree
2d log2d log3d log2d log3d log4th log2d log3d log4th log5th log2d log3d log4th log5th log6th log
101.41.21.4------------------------------------
121.61.31.51.11.41.9---------------------------
141.71.41.61.21.52---------------------------
161.91.51.71.21.62.1---------------------------
1821.61.81.31.72.2---------------------------
202.11.71.91.41.82.41.11.62.22.9---------------
222.21.821.422.51.11.72.32.9---------------
242.31.82.21.52.22.61.11.82.43.1---------------
262.41.92.31.52.32.71.11.92.53.2---------------
282.51.92.51.62.42.81.21.92.63.30.91.42.13.24.4
302.622.61.72.531.222.73.50.91.42.13.24.5
322.722.71.72.53.11.22.12.93.711.42.13.24.6
342.82.12.71.82.53.31.32.133.811.42.23.34.7
362.82.12.81.82.63.41.32.233.91.11.52.23.34.9
382.92.12.81.92.63.41.32.23.13.91.11.52.33.45.1
402.92.22.81.92.73.41.42.33.241.21.52.43.55.3

### How to apply it

Apply this behavior to saplings, adults, or snags of any species. This behavior does not automatically create output. Once you have added this behavior to your run, the Detailed output setup window for trees will have a tree data member called "Tree Bole Volume". Add this to your detailed output file to output volume in cubic feet. You can then view charts and graphs with the resulting volume data using data visualization on your detailed output file.