Agriculture & Forestry
Timber Standing Tree Board Feet Volume (International 1/4" Rule)
Calculate timber standing tree board feet volume (international 1/4" rule) using the stated engineering or scientific relationship and adjustable field inputs.
Preparing your result…
What this calculator does
Calculates Timber Standing Tree Board Feet Volume (International 1/4" Rule) using the formula verified against the cited source.
What your result means
An estimate from the inputs you enter, within the scope stated below — not advice.
Formula
International ¼-inch rule: sum over 4-ft sections of 0.905 × (0.22d² − 0.71d), with d rising ½ in. per section (16-ft log = 0.796D² − 1.375D − 1.23)
The step-by-step working for your own numbers appears with the result above and in the PDF report.
Frequently asked questions
Symbols and assumptions
- Inputs
- The values entered in the fields above
- • USDA International¼-inch log rule uses length-specific equations. For a 16-ft log, board feet=0.796D²−1.375D−1.23 (D=small-end inside-bark inches), rounded per the source to nearest5 board feet. This is not a D²L/divisor rule.
Sources and review
Reviewed 2026-10-18 · Next review 2027-04-18
- • USDA AppendixB,p.141 (PDFp.145) specifies different4/8/12/16/20-ft polynomials including taper. Implement the exact selected table/version for all permitted lengths; do not multiply the 16-ft result proportionally for arbitrary length. Standing trees need additional taper/form information. User-selected generic divisor is invalid.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Quick reference
| Scenario | Small-end diameter inside bark (in.) | Log volume (International ¼) |
|---|---|---|
| Worked example | 16 | 180 board feet |
| Half the amounts | 8 | 40 board feet |
| Double the amounts | 32 | 770 board feet |
Need the full picture? Get the detailed PDF report with charts, tables, formulas and working steps.
Reviewed 2026-10-18 · Next review 2027-04-18
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