Timber Volume Calculator
Calculate log board feet using Doyle, Scribner, or International 1/4-Inch log rules from log diameter and length.
About this calculator
This calculator estimates the board-foot volume of a single log using the three log rules most commonly used in North American timber sales: Doyle, Scribner, and International 1/4-Inch, whose formulas and typical uses are documented in university-extension log-scaling references such as the University of Tennessee's Understanding Log Scales and Log Rules. All three rules estimate how much sawn lumber a round log will yield, but they use different formulas and disagree with each other — sometimes by a lot, especially on smaller logs. Doyle systematically undervalues small-diameter logs (it was developed in the 1800s and assumes a thick, wasteful kerf), which is why it remains popular with hardwood buyers who want a conservative number. Scribner is derived from actual diagram overlays of sawn boards on a log's cross-section and is the historical standard for softwood sales in much of the western United States.
International 1/4-Inch accounts for saw kerf more precisely and taper along the log's length, and is generally regarded as the most accurate of the three for modern sawmill recovery. Board feet is the volume once sawn; the calculator also reports the log's raw cubic-foot volume (via a simplified cylindrical approximation) and a lumber-recovery percentage that compares the two. Several real limits apply to this estimate: it doesn't measure defect, sweep, or rot deduction, it assumes a single uniform log rather than a tapered stem with multiple log lengths, and it does not account for regional scaling-rule variants (there are dozens of Doyle and Scribner variants in use by different states and mills). Always confirm which specific rule and version a buyer uses before relying on this for a sale.
Inputs
Results
Board Feet
144 BF
Figures current as of 2023. Source: University of Tennessee Institute of Agriculture Extension. Understanding Log Scales and Log Rules (PB1650).
How to Use This Calculator
- Enter the Log Diameter at the small end in inches and the Log Length in feet.
- Select the Log Rule: Doyle (common for hardwoods), Scribner (softwoods), or International 1/4-Inch (most accurate).
- Review Board Feet under your chosen rule and compare all three scales in the chart.
- Check Cubic Volume and Lumber Recovery percentage to understand wood utilization efficiency.
- Use the Board Feet by Diameter chart to quickly look up yield for other log sizes at the same length.
How the result changes with Log Diameter (small end)
| Log Diameter (small end) | Board Feet |
|---|---|
| 8 | 16 BF |
| 12 | 64 BF |
| 24 | 400 BF |
| 40 | 1,296 BF |
What each input means
- Log Diameter (small end)
- Diameter inside bark at the small end of the log in inches.
- Log Length
- Length of the log in feet. Standard log lengths are 8, 10, 12, 14, and 16 feet.
- Log Rule
- Scaling rule: Doyle (common in hardwoods), Scribner (common in softwoods), International 1/4-Inch (most accurate).
How this is calculated
Worked example, using the default values
- Identify Input ParametersLog Diameter (small end) = 16, Log Length = 16, Log Rule = 1 = 3 input(s) provided
- Calculate Board Feet144 = 144
- Calculate Log Rule UsedLog Rule UsedDoyle = Doyle
- Calculate Cubic VolumeCubic Volume22.3 = 22.3
Figures and sources
- Doyle, Scribner, and International 1/4-Inch log scaling rule formulas (2023) — University of Tennessee Institute of Agriculture Extension. Understanding Log Scales and Log Rules (PB1650).
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 different board-foot numbers for the same log?
Each rule was built around different assumptions about saw kerf (the wood lost to the blade), taper, and slab waste. Doyle assumes the widest waste margin and consistently produces the lowest board-foot estimate on small logs — on a 16-inch log it can read 20-25% below Scribner and International. That gap closes as diameter increases, and Doyle's formula actually crosses over and reads *higher* than International on large logs (roughly 28-30 inches and up on a 16-foot log), because Doyle's fixed 4-inch slab deduction stops representing a realistic fraction of a big log's cross-section. Scribner sits in the middle across most of the range. None of the three is 'wrong'; they are different accounting conventions that a buyer or seller has agreed to use, and which one reads highest depends on the log's size, not just which rule is 'better.'
Which log rule should I use when selling timber?
Use whichever rule your buyer or local mill actually pays on — that is the only number that matters commercially. Doyle remains common for hardwood sawtimber sales in the eastern and southern US, Scribner is traditional in much of the Pacific Northwest and Rocky Mountain West, and International 1/4-Inch is used by many public land agencies and increasingly by mills seeking a more accurate recovery estimate. If you are comparing offers from two buyers who use different rules, convert both to the same rule before comparing dollar figures. University forestry-extension log-scaling guides, such as the University of Tennessee's Understanding Log Scales and Log Rules publication, document all three formulas and their typical regional use in more detail.
Does log diameter or log length matter more for board feet?
Diameter matters far more. Because board feet scales roughly with the square of small-end diameter but only linearly with length, doubling a log's diameter raises its volume by roughly four times, while doubling its length only doubles it. A short, fat log routinely out-scales a long, thin one — this is why timber cruisers spend most of their measurement effort getting diameter right and treat length as a secondary correction.
What is lumber recovery percentage and why is it usually well under 100%?
Lumber recovery percentage compares the board-foot yield (already a lumber-industry unit that assumes 1-inch-thick boards) against the log's raw cubic volume converted to the same units. It comes in under 100% because sawing a round log into square-edged boards always leaves slabs, sawdust, and edging waste — a cylinder cannot be perfectly divided into rectangular boards. Recovery in roughly the 50-70% range is typical for mid-size sawlogs (it trends higher on longer, larger-diameter logs and lower on very short or narrow ones, since this simplified formula doesn't fully offset the geometry of a stubby log); real sawmills track this number closely because small gains in recovery translate directly into more lumber sold from the same log supply.
Can I use this calculator to value standing timber, not just a cut log?
Not directly. This calculator scales a single log you already have measurements for — small-end diameter and length. Valuing standing timber requires a timber cruise: sampling many trees across a stand, estimating each tree's merchantable log length and diameter, and applying a volume table or rule like this one to each log, then summing and applying a stumpage price. Use this calculator as the per-log building block inside that larger process, not as a stand-level appraisal tool on its own.
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