Log Volume Calculator

Calculate log board feet using Doyle, Scribner, and International ¼-inch rules — the three standard log scaling methods.

Log Volume Calculator

Doyle, Scribner, and International ¼" rules

Log Dimensions

Inside bark, at small end

Rule Comparison

Doyle — Most common in eastern US. Under-estimates small logs, over-estimates large logs.

Scribner — Standard in western US and government timber sales. More accurate for small logs.

International ¼" — Most accurate overall. Accounts for saw kerf. Used as benchmark.

Board Feet by Rule

Doyle Rule
64BF
Scribner Rule
86BF
International ¼" Rule
438BF
Cubic Volume
12.57cu ft

Formulas Used

Doyle Rule

BF = (D - 4)² × L ÷ 16

Where D is small-end diameter inside bark (inches) and L is log length (feet). Most common in eastern US.

Scribner Rule

BF ≈ (0.79D² - 2D - 4) × L ÷ 16

More accurate for small logs than Doyle. Standard for western US and USFS timber sales.

International ¼" Rule

BF ≈ (0.905D² - 1.62D - 1.36) × sections

Most accurate overall. Accounts for ¼-inch saw kerf and 4-foot log sections. Considered the benchmark.

Understanding Log Scaling Rules

Log scaling rules estimate how many board feet of lumber a log will yield when sawn. Three rules dominate the North American timber industry, each with different strengths.

The Three Major Log Rules

Doyle Rule — Developed in 1825, this is the simplest and most widely used rule in the eastern United States. It significantly under-estimates the yield of small logs (under 20" diameter) and slightly over-estimates large logs. Buyers prefer Doyle because they get more lumber than they pay for on small logs.

Scribner Rule — Created in 1846 by drawing circles (representing boards) inside a circle (representing the log end). It's more accurate for small logs than Doyle. The Scribner Decimal C variant rounds results to the nearest 10 BF and is the official scale for all US Forest Service and BLM timber sales.

International ¼-Inch Rule — Developed in 1906, this is the most mathematically accurate rule. It accounts for a ¼-inch saw kerf and calculates yield in 4-foot sections to account for log taper. It's used as the benchmark against which other rules are compared.

Comparison: BF Yield by Rule (16-foot log)

| Diameter | Doyle | Scribner | International ¼" | |----------|-------|----------|-------------------| | 8" | 16 | 32 | 35 | | 12" | 64 | 80 | 95 | | 16" | 144 | 150 | 175 | | 20" | 256 | 250 | 275 | | 24" | 400 | 370 | 395 |

Notice how Doyle severely under-estimates the 8" log (16 BF vs 35 BF from International).

Tips for Log Buyers

  1. Know which rule your mill or buyer uses
  2. Measure small-end diameter inside bark
  3. Deduct for defects (rot, sweep, crook)
  4. Consider that actual yield depends on sawing pattern and operator skill

Frequently Asked Questions