Sawmill Log-to-Board-Feet Calculator
Estimate lumber yield from a log's small-end diameter and length, using the three standard forestry log rules.
How this calculator works
Each rule estimates board feet from small-end diameter (D, inside bark) and log length (L):
- Doyle: (D−4)² × L / 16
- Scribner (Bruce & Schumacher formula): (0.79D² − 2D − 4) × L / 16
- International ¼-inch: 0.905 × (0.22D² − 0.71D), applied per 4-foot section
Doyle assumes a large slab/edging allowance that overpenalizes small logs; Scribner is diagram-based and doesn't account for log taper; International ¼" adds a small taper allowance and is generally regarded as the closest match to actual sawn lumber yield, especially for smaller logs.
A note on accuracy
The full official International ¼" rule adjusts diameter slightly for taper on logs longer than 4 feet; this calculator applies the base formula scaled by length without that taper correction, which is accurate to within a few percent for typical log lengths but won't exactly match official International scale tables for very long logs.
Where these formulas come from
- Doyle and Scribner (Bruce & Schumacher correction) formulas: Purdue University Extension, FNR-191
- International ¼-inch rule formula: Cornell University Cooperative Extension Forest Connect program
All three rules assume diameter is measured inside the bark at the small end of the log. Actual mill yield also depends on saw kerf, operator skill, and how the log is bucked — treat this as an estimate for planning, not a guaranteed yield.
Frequently asked questions
Why are there three different log rules?
Doyle, Scribner, and International 1/4-inch rules were each developed with different assumptions about saw kerf and slab waste, so they can give noticeably different board-foot estimates from the exact same log — which rule a mill or buyer uses is often regional or by convention.
Why does small-end diameter matter more than average diameter?
Sawmills typically size yield off the log's smaller end since that's the limiting dimension for how much usable lumber can actually be cut through the whole length — using an average diameter instead can overstate real yield.
Which log rule tends to give the most conservative estimate?
Doyle's rule is widely known for underestimating yield on smaller-diameter logs compared to the other two rules, which is worth knowing if you're comparing a quoted board-foot estimate against your own calculation using a different rule.
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