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Calcimator

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

in
ft
in/ft

Results

Doyle Rule BF

108 BF

Scribner Rule BF124.7 BF
International Rule BF130.9 BF
Large-End Diameter28 in
Est. Recovery Rate28.4%

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
  1. Enter Small-End Diameter, Log Length, and Taper.
  2. Review the Doyle Rule BF result.
  3. Use Scribner Rule BF and International Rule BF to inform your decision.
  4. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Small-End Diameter

Small-End DiameterDoyle Rule BF
812 BF
1248 BF
24300 BF
40972 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

  1. Identify Input Parameters
    Small-End Diameter = 16, Log Length = 12, Taper = 1 = 3 input(s) provided
  2. Calculate Doyle Rule BF
    Doyle Rule BF
    108 = 108
  3. Calculate Scribner Rule BF
    Scribner Rule BF
    124.7 = 124.7
  4. Calculate International Rule BF
    International Rule BF
    130.9 = 130.9

Figures and sources

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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