Sawmill Yield Calculator
Estimate board feet yield from a log using Doyle, Scribner, and International 1/4" rules. Enter log diameter, length, and taper.
About this calculator
Sawmill yield calculators exist because the three historic log-scale rules were built for different eras of sawing technology and disagree with each other by a wide margin, especially on small logs. The Doyle Rule (BF = (D-4)^2 x L / 16) is the oldest and still the most common rule at small commercial mills buying logs from private landowners -- it deliberately assumes a wasteful 4-inch-per-side slabbing loss, which is why it under-scores small-diameter logs the most. The Scribner Rule is a diagram-based rule built from actual saw-kerf layouts and reads closer to true recoverable lumber on mid-size logs. The International 1/4" Rule was designed to model a 1/4-inch saw kerf and modern band-mill efficiency, so it consistently scores highest of the three, particularly on larger logs.
Small-End Diameter is the dominant driver of every rule's board-foot estimate: because Doyle's formula squares (D-4), each additional inch of diameter adds far more board feet than the same additional foot of length, and Taper -- the diameter growth per foot of length -- has no effect on any of the three board-foot totals at all, since all three rules score off the small-end diameter alone. Taper only changes the calculator's Large-End Diameter and Est. Recovery Rate outputs: a steeper taper produces a fatter gross log volume for the same small-end scale, which pulls the estimated recovery percentage down even though the board-foot totals themselves never move. Recovery Rate is a rough sanity check, not a mill-specific yield guarantee -- real recovery depends on saw kerf, log defects, and sawing pattern.
Inputs
Results
Doyle Rule BF
108 BF
Figures current as of 2026. Source: University of Missouri Extension, "How to Measure Trees and Logs" (Publication G5050): "The International 1/4-inch Log Rule ... and the Doyle Log Rule ... are the two most commonly used rules in Missouri."
How to Use This Calculator
- Enter Small-End Diameter, Log Length, and Taper.
- Review the Doyle Rule BF result.
- Use Scribner Rule BF and International Rule BF to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Small-End Diameter
| Small-End Diameter | Doyle Rule BF |
|---|---|
| 8 | 12 BF |
| 12 | 48 BF |
| 24 | 300 BF |
| 40 | 972 BF |
What each input means
- Small-End Diameter
- Log diameter inside bark at the small end
- Log Length
- Length of the log in feet
- Taper
- Diameter increase per foot of length (typically 0.5-2 in/ft)
How this is calculated
Worked example, using the default values
- Identify Input ParametersSmall-End Diameter = 16, Log Length = 12, Taper = 1 = 3 input(s) provided
- Calculate Doyle Rule BFDoyle Rule BF108 = 108
- Calculate Scribner Rule BFScribner Rule BF124.7 = 124.7
- Calculate International Rule BFInternational Rule BF130.9 = 130.9
Figures and sources
- Doyle and International 1/4-inch log rules as the standard US log-scaling methods (2026) — University of Missouri Extension, "How to Measure Trees and Logs" (Publication G5050): "The International 1/4-inch Log Rule ... and the Doyle Log Rule ... are the two most commonly used rules in Missouri."
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why do Doyle, Scribner, and International give three different board-foot numbers for the same log?
Each rule encodes a different assumption about sawing waste. University extension forestry publications, such as the University of Missouri's "How to Measure Trees and Logs," identify the Doyle and International 1/4" rules as the two most commonly used log-scaling methods in practice today, which is why this calculator leads with Doyle Rule BF as its highlighted output. Doyle assumes a generous slabbing allowance that overstates waste on small and mid-size logs, so it reads lowest there -- but because Doyle's (D-4)^2 term grows faster than Scribner's formula, Doyle crosses above Scribner at roughly 25 inches of small-end diameter and reads highest on large logs. International 1/4" assumes a thinner modern saw kerf and reads highest across most of the range up to that crossover. None of the three is "wrong" -- they're different conventions, and a buyer and seller need to agree which one a price is quoted against before comparing numbers.
Does increasing Taper change how many board feet the log scales at?
No. All three rules -- Doyle, Scribner, and International -- compute board feet directly from Small-End Diameter and Log Length only; Taper never enters those formulas. Taper only affects the calculator's Large-End Diameter estimate and the rough Est. Recovery Rate figure, which compares the Doyle board-foot count against an estimated gross cylindrical volume that does grow with taper.
Which matters more for board feet: log diameter or log length?
Diameter, by a wide margin. Because Doyle's formula squares the diameter term (D-4)^2, doubling Small-End Diameter multiplies the board-foot result roughly fourfold, while doubling Log Length only doubles it. Across the calculator's full 6-48 inch diameter range, diameter swings the board-foot total far more than length swings it across its own 4-24 foot range.
Why does Est. Recovery Rate go down as I increase Taper, even though the board-foot numbers don't change?
Recovery Rate divides the fixed Doyle board-foot figure by an estimated gross log volume built from the average of the small-end and large-end diameters. A steeper taper makes the large end (and therefore the average diameter) bigger, which inflates the estimated gross volume the log actually contains -- so the same board-foot yield looks like a smaller share of that larger log, and Recovery Rate falls.
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