Basal area per acre

Basal area per acre is the cross-section area of all the trees on an acre.

$$ba = \sum_{i=1}^{n} 0.005454154 * dbh_i^2 * w_i$$

where ba is the basal are per acre, 0.005454154 is a constant, dbh is the diameter at breast height in inches, and w is the expansion factor that converts the sample tree to a per acre basis.

$$ba = \sum_{i=1}^{n} 0.00007854 * dbh_i^2 * w_i$$

where ba is the basal are per hectare, 0.00007854 is a constant, dbh is the diameter at breast height in centimeters, and w is the expansion factor that converts the sample tree to a per hectare basis.

Example

Imperial Units
dia = 8,6,8,5,4,6,7 in inches
weight = 10,10,10,10,10,10,10
unittype = "imperial"
Answer = 15.8 sq. feet per acre

Metric Units
dia = 8,6,8,5,4,6,7 in centimeters
weight = 25,25,25,25,25,25,25
unittype = "metric"
Answer = 0.56 sq. meters per hectare

Code

This code is stored in my github.com/larsendr site. These are direct links to the raw code.

Excel® Visual Basic Code

R Statistical Package Code

Python Code

Go Code

Javascript for Node Code

C code


Creative Commons License
Forestry Functions by David R. Larsen is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Author: Dr. David R. Larsen, Copyright 2012
Created: October 9, 2012
Last Updated: January 5, 2020