The formula to calculate the Board Footage (BF) using the Doyle Log Rule is:
\[ BF = \frac{(D - 4)^2 \times L}{16} \]
Where:
The Doyle Log Rule is a mathematical formula used in the forestry industry to estimate the amount of lumber that can be obtained from a log. Developed by Edward Doyle in the mid-19th century, the rule is considered conservative as it often underestimates the actual board footage, particularly for smaller logs. It is commonly used in the Eastern United States.
Let's assume the following values:
Using the formula to calculate the Board Footage (BF):
\[ BF = \frac{(D - 4)^2 \times L}{16} = \frac{(20 - 4)^2 \times 16}{16} = \frac{256 \times 16}{16} = 256 \text{ ft³} \]
The Board Footage (BF) is 256 ft³.
