Tree Value Calculator

Estimate a standing tree's timber volume and value using the Doyle log rule.

How the Math Works

The Tree Value Calculator uses the Doyle rule, a standard formula in forestry to estimate board feet of lumber from a tree. The formula BF = ((DBH − 4) ÷ 4)² × number of 16-ft logs calculates board feet (BF) by first adjusting the diameter at breast height (DBH) — a tree's diameter measured 4.5 feet above ground — by subtracting 4 inches to account for unusable wood at the base. This adjusted value is divided by 4, squared to represent cross-sectional area, and multiplied by the number of 16-foot log sections. The result approximates the total lumber yield, reflecting how much usable timber can be extracted from the tree.

Practical Applications

To apply this calculator, first measure the tree's DBH using a diameter tape or tree calipers. Count how many 16-foot sections (logs) can be cut from the tree's height. Input these values into the formula or calculator. For example, a tree with a 16-inch DBH and 2 logs would yield ((16-4)/4)² × 2 = 9 × 2 = 18 board feet. This estimate helps loggers, landowners, or foresters quickly assess timber volume for pricing, harvesting decisions, or permit applications without complex calculations.

Day-to-Day Use

This tool simplifies real-world forestry and resource management tasks. Landowners can estimate their forest's value for timber sales, while conservationists might use it to plan sustainable harvesting. DIY woodworkers could gauge if a fallen tree is worth processing, and arborists might use it to communicate tree value to clients. By translating tree measurements into tangible lumber quantities, it empowers informed decisions about land use, environmental stewardship, and personal projects requiring wood materials.

Worked example

18 in DBH, two 16-ft logs at $0.50 → 24.5 BF (~$12.25).

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