Scribner Log Scale Calculator: Decimal C Rounding, Log Grade Adjustment, Pacific Northwest Species Bark Deduction, and Multi-Log Tally
The Scribner Decimal C rule powers federal timber sales across the Pacific Northwest. This calculator is the only free tool that implements the official USDA Decimal C rounding to the nearest ten board feet, adds per-log grade adjustment, includes 14 western species bark deduction factors, and runs a full tally session. Built for Oregon, Washington, Idaho, Montana, and California timber operations.
Measure at the small end, inside the bark. Round down to nearest inch per USDA Forest Service scaling standards.
Common PNW log lengths: 8, 12, 16, 20, or 32 ft. Western long logs may run 20 to 40 ft.
Select the USDA log grade for price adjustment. Grade 2 (Standard) is default and applies no multiplier.
Select species first. DIB field updates with standard USDA Forest Products Lab bark deduction.
Enter your buyer’s quoted price per thousand board feet, Scribner scale. Applied to grade-adjusted BF.
| # | DIB | Length | Grade | Species | Dec C BF | Remove |
|---|---|---|---|---|---|---|
| Total Dec C: | 0 BF | Value: – | ||||
The Scribner Log Rule: How Federal Timber Sales Work in the Pacific Northwest and Why Decimal C Matters
If you have ever purchased timber through a USDA Forest Service sale in Oregon, Washington, Idaho, Montana, or Northern California, the volume and the price per unit was almost certainly expressed in Scribner Decimal C board feet. The Scribner rule was developed by D.C. Scribner in 1846, two decades after the Doyle rule, and it was designed from the beginning to be more accurate than its predecessor. Unlike Doyle, which uses a simple algebraic formula calibrated to single-kerf circular saw mills, the Scribner rule was originally constructed using diagrams of actual lumber cuts from logs of different diameters, giving it a grounding in observed sawmill practice that Doyle lacked.
The formula most commonly used today is the Scribner Decimal C approximation: BF = (0.79 times D squared, minus 2D, minus 4) times L divided by 16. This produces a raw board foot figure. What makes the Decimal C version distinct from the raw Scribner number is a rounding step: the result is rounded to the nearest 10 board feet. A log that calculates to 87.3 board feet raw Scribner becomes 90 board feet Scribner Decimal C. A log that calculates to 122.8 board feet becomes 120 board feet. This rounding was introduced to simplify field tabulation and to match the layout of official USDA Forest Service log scale tables, which are published in increments of 10 board feet. When a Forest Service contract says your timber will be scaled in Scribner Decimal C, the rounding is not optional. It is part of the standard. No other free online calculator available as of 2026 implements this rounding correctly.
The Scribner rule is meaningfully more accurate than the Doyle rule for small to mid-range diameter logs. At 10 inches inside bark, Scribner gives about 55 board feet against Doyle’s 36 for a 16-foot log. At 16 inches, Scribner gives 166 board feet against Doyle’s 144. As diameter increases beyond 20 to 24 inches, the two rules converge, and at very large diameters Doyle may slightly exceed Scribner. This convergence is one reason the historical boundary between Doyle and Scribner territory in American forestry aligns roughly with the boundary between eastern hardwood forests (where small-diameter logs are more common) and western conifer forests (where larger-diameter old-growth logs were historically the norm and where Scribner’s higher accuracy for those large logs was particularly valued).
Why Scribner Decimal C Is the Standard for USDA Forest Service Timber Sales
The USDA Forest Service manages approximately 193 million acres of national forests and grasslands across the United States. When the agency sells timber from these lands, the sale contract specifies the measurement standard. In the Pacific Northwest and Intermountain West, that standard is almost universally Scribner Decimal C. Log scalers certified through state forestry agencies or USDA contracts use Scribner Decimal C tables published in the Forest Service’s own Forest Products Measurement Handbook. These tables show board feet by diameter and length in the familiar ten-board-foot increments. When a private landowner in western Oregon sells timber adjacent to a national forest, they often accept Scribner pricing to match the market their mill buyers are already using for their Forest Service volume.
The certification of individual log scalers in Scribner states requires passing a practical examination on the Decimal C tables. Oregon, Washington, Idaho, and California each maintain their own certification programs through their state Departments of Forestry or Natural Resources. A certified scaler’s ticket carries legal weight in a timber contract dispute that a handwritten calculation does not.
Log Grades in the Scribner System: How Quality Adjusts the Price per MBF
Raw board feet are only part of the timber value equation. Log quality, expressed as log grade, significantly affects what a mill will pay per MBF for the same Scribner scale volume. The USDA Forest Service uses a four-grade system for softwood sawlogs that is also widely adopted in the private Pacific Northwest market. Grade 1 logs are the highest quality: they have clear faces, tight knots within specified limits, and are typically destined for high-value appearance lumber such as clear pine, shop grades, or export logs. These may command 10 to 15 percent premiums above standard prices. Grade 2 is the standard commercial sawlog grade, which is what most stumpage prices are quoted for. Grade 3 has more defects and may yield a higher proportion of utility or economy grades. Grade 4, sometimes called No. 4 or peeler core reject, has heavy defect and may only be marginal for sawing. This calculator applies an indicative price multiplier for each grade to help you estimate the realistic value of your log mix before a formal appraisal.
How Each Input in the Scribner Log Scale Calculator Works Step by Step
This calculator implements the Scribner Decimal C formula with four features that no other free online tool offers simultaneously: the correct Decimal C rounding, per-log grade selection with price adjustment, 14 Pacific Northwest species bark deduction factors, and a running multi-log tally session with PDF export.
Diameter inside bark: The Scribner formula requires the small-end diameter inside bark, rounded down to the nearest inch, exactly as with the Doyle rule. Measurement is taken at the small (top) end of the log on a fresh cut face. For standing timber, outside-bark diameter from a dendrometer, diameter tape, or Biltmore stick is converted to inside bark using the species-specific bark factor. USDA Forest Service log scalers are trained to measure DIB directly on cut logs or to apply standard bark factors for the species in their area.
Scribner Decimal C rounding: After the formula calculates the raw board foot figure, this calculator rounds to the nearest 10, producing the Decimal C value. Both numbers are shown in the results so you can see exactly how the rounding affects your specific log. For a 14-inch log 16 feet long, raw Scribner is 122.8 board feet, and Decimal C rounds to 120. For a 16-inch log, raw is 166.2 and Decimal C rounds to 170. For very small logs at 6 inches, both round to 10 board feet (or 0 in some published tables). The Decimal C value is what you will see on a USDA Forest Service scale ticket and what should match any contract based on this standard.
Log grade selection: The four-button grade selector lets you mark each log as Grade 1 Premium, Grade 2 Standard, Grade 3 Utility, or No. 4 Pulpwood Grade. The grade adjustment multiplier is applied to the Decimal C board feet when calculating stumpage value, not to the board foot volume itself. This distinction matters: your scale ticket records volume in board feet regardless of grade, but the price per MBF you receive varies by grade. A 170 BF Grade 1 log at $480 per MBF returns $81.60. The same 170 BF log at Grade 3 and $480 per MBF base would return $65.28 after the 80% quality adjustment. The grade multipliers in this calculator (1.15, 1.00, 0.80, 0.55) are indicative values based on typical PNW market differentials and should be verified against your specific buyer’s grading price schedule.
Pacific Northwest bark deduction: Fourteen western US species are included with their standard bark deduction factors from USDA Forest Products Laboratory reference data. Western Red Cedar has the thickest bark of the listed species at 0.82, meaning a 16-inch outside-bark measurement converts to approximately 13.1 inches inside bark. Douglas Fir at 0.87 is the most commonly scaled PNW species. Red Alder at 0.93 has the thinnest bark in the list. Select species first, then enter the outside-bark diameter to automatically populate the DIB field.
Three Real Scribner Log Scale Calculations from Pacific Northwest Timber Markets
Oregon Logger Delivering a Douglas Fir Load to a Willamette Valley Mill
A timber harvester in Lane County, Oregon delivers a truckload of Douglas fir logs to a sawmill in the Willamette Valley that buys on Scribner Decimal C scale. The load has 8 logs: four at 16-inch DIB and 16 feet long, and four at 12-inch DIB and 16 feet long. The mill’s posted price is $415 per MBF Scribner Decimal C for Grade 2 Douglas fir sawtimber. He measured these logs outside bark at 18 inches and 14 inches respectively, then applied the Douglas fir bark factor of 0.87 to arrive at the inside-bark diameters.
16-inch logs: raw Scribner = (0.79 x 256 minus 32 minus 4) x 1 = 166.2 BF, rounds to 170 BF Dec C. Four logs = 680 BF. 12-inch logs: raw = (0.79 x 144 minus 24 minus 4) x 1 = 85.8 BF, rounds to 90 BF Dec C. Four logs = 360 BF. Total tally: 1,040 BF Scribner Decimal C. Value: 1.040 MBF x $415 = $431.60.
Washington Landowner Navigating a USDA Forest Service Timber Sale Adjacent to Olympic National Forest
A private landowner in Grays Harbor County, Washington has 20 acres of mixed second-growth timber adjacent to the Olympic National Forest. A forestry consultant performs a timber cruise and estimates the merchantable volume. The dominant species is Western Hemlock with some Sitka Spruce. Average log: 14-inch DIB, 20 feet long, mixed Grade 2 and Grade 3. Approximately 60 logs estimated in the merchantable tally. The local market is paying $380 per MBF Scribner Grade 2 and about $305 per MBF Grade 3 for western hemlock, driven partly by export demand.
For a 14-inch x 20-foot Hemlock log: raw Scribner = (0.79 x 196 minus 28 minus 4) x 20/16 = 122.8 x 1.25 = 153.5 BF, rounds to 150 BF Dec C. If 40 logs are Grade 2 and 20 are Grade 3: Grade 2 total = 40 x 150 = 6,000 BF x 1.0 = 6,000 adj BF. Grade 3 total = 20 x 150 = 3,000 BF x 0.80 = 2,400 adj BF. Value: (6,000/1,000 x $380) + (2,400/1,000 x $305) = $2,280 + $732 = $3,012.
Idaho Forestry Consultant Scaling Western Larch from a Private Ranch Sale in Clearwater County
A forestry consultant in Clearwater County, Idaho scales 35 Western Larch logs from a private ranch timber harvest. Larch logs average 18-inch DIB at 16 feet. The outside-bark measurement was 21 inches, converted using the Western Larch bark factor of 0.85 to 17.9 inches inside bark, which rounds down to 17 inches DIB per scaling convention. Idaho buyers in the Clearwater drainage typically pay $360 to $450 per MBF Scribner Dec C for quality larch, which is prized for its density, rot resistance, and appearance characteristics.
17-inch DIB x 16-foot log: raw Scribner = (0.79 x 289 minus 34 minus 4) x 1 = (228.31 minus 38) x 1 = 190.3 BF, rounds to 190 BF Dec C. 35 logs x 190 BF = 6,650 BF = 6.65 MBF. At Grade 2 and $405/MBF: 6.65 MBF x $405 = $2,693.25. At Grade 1 premium for select larch: 6.65 MBF x $465 = $3,092.25. The grade matters: if the consultant can establish Grade 1 quality on these larch logs, the additional value is nearly $400 on this single tally.
Three Expert Tips for Maximizing Accuracy on Scribner Scale Timber Sales
Understand That Decimal C Is Not the Same as Raw Scribner
Many online tools and even some buyers quote raw Scribner without applying the Decimal C rounding. For large logs, the difference is small. For smaller logs where rounding constitutes a larger percentage of the total, the gap is meaningful. A 10-inch log at 16 feet calculates to 55.0 raw Scribner, which rounds to 60 Decimal C. That is nearly 9 percent more volume on the scale ticket than the raw number would suggest. Over a full tally of 50 small-diameter logs, this rounding effect can change your stumpage check by a noticeable amount. Always verify that your buyer’s scale ticket specifies Decimal C and applies the rounding correctly. If a ticket shows values that are not multiples of ten, it is either showing raw Scribner (which should be specified in the contract) or contains a computational error.
Apply Species-Specific Bark Deduction Before Entering Diameter
Using outside-bark diameter directly in the Scribner formula without a bark deduction overstates board foot volume by 10 to 20 percent depending on species. In federal timber sales, the USDA Forest Service requires certified scalers to measure inside bark or to apply approved bark deduction factors. Western Red Cedar with its extremely thick, fibrous bark requires the largest deduction in the Pacific Northwest: at 0.82, a 20-inch outside-bark Cedar log is effectively 16.4 inches inside bark, which rounds to 16 inches for scaling. Without the deduction, you would enter 20 inches and calculate a significantly higher board foot volume that does not reflect actual lumber yield. The bark deduction for the species you select is applied automatically in this calculator when you enter an outside-bark diameter in the DOB conversion field.
Know When to Request a Certified Scaler Recheck in Oregon, Washington, and Idaho
All three major Scribner states in the Pacific Northwest maintain legal processes for disputing a log scale. In Oregon, the Oregon Department of Forestry oversees log scaling certification. In Washington, the Washington Department of Natural Resources administers the log scaling program. In Idaho, the Idaho Department of Lands manages timber measurement programs. If you receive a scale ticket that you believe understates your volume, you generally have the right to request a recheck within a specified window (often 24 to 48 hours in active scaling programs). A recheck requires the presence of a certified scaler and, in some programs, a nominal fee. The investment is worth it on large loads or where a systematic scaling error may have affected multiple tickets from the same buyer. Calculating your expected scale using this tool before delivery lets you flag suspicious tickets immediately.
Quick Reference: Scribner Decimal C Scale Table for Pacific Northwest Sawlogs
Board feet Scribner Decimal C per log. Raw Scribner values computed using BF = (0.79D squared minus 2D minus 4) times L/16, then rounded to nearest 10 board feet. Based on USDA Forest Service scaling standards and the Scribner Decimal C tables in the Forest Products Measurement Handbook. DIB = diameter inside bark at small end, rounded to nearest inch.
| DIB (in) | 8-ft Dec C | 12-ft Dec C | 16-ft Dec C | 20-ft Dec C | 32-ft Dec C |
|---|---|---|---|---|---|
| 6″ | 0 | 10 | 10 | 10 | 20 |
| 8″ | 10 | 20 | 30 | 40 | 60 |
| 10″ | 30 | 40 | 60 | 70 | 110 |
| 12″ | 40 | 60 | 90 | 110 | 170 |
| 14″ | 60 | 90 | 120 | 150 | 240 |
| 16″ | 80 | 130 | 170 | 210 | 330 |
| 18″ | 110 | 160 | 220 | 270 | 430 |
| 20″ | 140 | 200 | 270 | 340 | 540 |
| 24″ | 200 | 300 | 400 | 500 | 800 |
Frequently Asked Questions About the Scribner Log Rule in the Pacific Northwest
Related Forestry Calculators for Pacific Northwest and US Timber Operations
Legal Disclaimer and Editorial Transparency
This Scribner Log Scale Calculator implements the Scribner Decimal C approximation formula BF = (0.79 times D squared minus 2D minus 4) times L/16 as referenced in USDA Forest Service measurement standards. Decimal C values are rounded to the nearest 10 board feet per USDA convention. Log grade adjustment multipliers (Grade 1: 1.15x, Grade 2: 1.00x, Grade 3: 0.80x, No. 4: 0.55x) are indicative values based on typical Pacific Northwest price differentials and do not constitute a timber appraisal or guarantee any specific price. Species bark deduction factors are based on USDA Forest Products Laboratory reference data and represent averages that may vary by site, tree age, and local conditions. All results are estimates for planning and educational purposes. Commercial timber sales require certified log scalers and legally binding contracts. USCalculators.com is not affiliated with the USDA Forest Service, any state forestry agency, or any timber company. Authority references: USDA Forest Service Forest Products Measurement; USDA Forest Products Laboratory; Oregon Department of Forestry; Washington Department of Natural Resources. Tool last updated August 2026.