Number of Trees and Tree Spacing Calculated from Basal Area

Calculate the number of trees and the spacing from an average tree diameter and basal area in square feet per acre.

Example Calculation

A basal area of 125 square feet per acre
the average tree diameter is 14 inches
B = DBH² * 0.00545415391

calculate the basal area of one tree

14² = 196 * 0.00545415391 = 1.069 ft²

divide the total basal area by the tree basal area to get the number of trees per acre

125 ÷ 1.069 = 116 trees per acre. 

To find the spacing between the trees, divide one acre (43560 square feet) by the amount of trees;

43560 ÷ 116 = 375.5172413793103 

Assuming the spacing between these trees is the same for in row and in between rows spacing, take the square root of this amount.

The square root of  375.5172413793103 = 19.4 

The spacing between the trees = 19 feet (rounded)

Calculation

1. he average diameter of the trees in inches (diameter measured at breast height)
2. total basal area of all the trees per acre, in square feet

Result

1. the amount of trees per acre
2. the spacing between the trees in feet

• Brereton Log Rule - Imperial Measurements
• Blodgett Foot Rule
• Doyle Log Rule
• International 1/8-inch Log Rule
• International 1/4-inch Log Rule
• International 1/4-inch Log Rule (Grosenbaugh)
• International 1/8-inch and 1/4-inch Log Rules

• Roy Log Rule
• Ontario Log Rule
• Scribner Log Rule
• Scribner Log Rule: Board Foot Volume of a Tree
• Scribner Decimal C
• Comparing Results from Various Board Feet Log Rules

Defects

• Sweep Deduction
• Sweep Percentage Deduction

New

• Early Log Rule
• Number of Trees and Tree Spacing Calculated from Basal Area