Standing Timber Volume Calculator: Girard Form Class, Per-Log Section Breakdown, Multi-Tree Stand Cruise Tally, and Stumpage Valuation for US Timber Markets
The only free standing timber volume tool that applies the Girard Form Class method with an adjustable taper per log section, shows every 16-foot section’s estimated board feet under all three US log rules, and builds a full stand cruise tally you can export as a PDF cruise sheet. Built for landowners, consulting foresters, and timber buyers across all US forest types.
Measure at 4.5 feet above ground on the uphill side. Standard US timber cruising measurement. Outside bark.
Count from stump to merchantable top (typically 4-inch DIB minimum). A 60-ft merchantable height = about 3.5 logs; use 3 or 4.
How much DIB decreases per 16-ft section. Average US commercial timber: 2.0 in. Managed softwood: 1.0-1.5 in. Open-grown hardwood: 2.5-3.0 in.
Form class = (DIB at top of first log) / (DBH inside bark) x 100. Sets the first log’s small-end diameter. Drag slider to adjust.
FC 60-65: poor/average hardwood. FC 68-72: good eastern hardwood. FC 75-82: managed pine or high-quality softwood.
Enter buyer’s quoted price per thousand board feet (Doyle) to calculate estimated tree and stand value.
| Section | Sm-End DIB | Doyle BF | Scribner BF | Int’l 1/4″ BF |
|---|---|---|---|---|
| Enter tree measurements above and click Calculate to see per-log breakdown. | ||||
| # | DBH | Logs | FC | Species | Doyle BF | Remove |
|---|---|---|---|---|---|---|
| Stand Total: | 0 BF | Value: – | ||||
Standing Timber Volume Estimation: Why the Girard Form Class Method Is the Standard for US Timber Cruising
When a consulting forester walks a woodlot in Ohio or a timber buyer scouts a stand of pines in Georgia, they do not cut down a tree and measure each log to determine its value. They measure the tree where they stand: a diameter tape wrapped around the trunk at exactly 4.5 feet above ground (called DBH, diameter at breast height), a clinometer reading for total tree height, and a trained eye for merchantable bole length and quality. From those three inputs, plus knowledge of the species and site, they estimate the board foot volume of the standing tree well enough to negotiate a contract, produce an appraisal, or complete a timber cruise for sale planning.
The method that converts a standing tree’s outside-bark DBH into an estimated board foot volume in any of the three major US log rules is the Girard Form Class method, developed by Clement Girard in the early 20th century while working at the USDA Forest Products Laboratory in Madison, Wisconsin. Girard’s key insight was that trees of the same DBH can vary dramatically in how much useful lumber they contain, depending on how cylindrical or tapered the merchantable bole is. A tall, straight second-growth pine with a full, columnar trunk contains far more lumber per inch of DBH than a short, open-grown hardwood with a heavily tapered, branch-laden bole of the same diameter. Form class quantifies this difference.
The Girard Form Class is defined as the ratio of the inside-bark diameter at the top of the first 16-foot log (approximately 17 feet above ground, above a 1-foot stump) to the inside-bark DBH, expressed as a percentage. A form class of 68 means the first log’s top diameter is 68 percent of the inside-bark DBH. For a 16-inch DBH White Oak with a bark factor of 0.90 (DBH inside bark = 14.4 inches), form class 68 gives a first log top diameter of 14.4 times 0.68 = 9.8 inches inside bark. That 9.8-inch small end is the input to the Doyle formula for the first log. Successive logs lose additional diameter due to taper, and the board feet of each section is computed separately and summed for the tree total.
This calculator implements the full Girard Form Class workflow with adjustable taper per section, 17 species bark deduction factors, all three US log rules calculated simultaneously for each log section, and a multi-tree stand tally for use as a field cruise worksheet. It is the only free online standing timber volume tool that shows a visual per-section breakdown, which is what professional foresters actually compute when estimating individual tree values.
How DBH, Form Class, and Taper Interact to Determine Standing Tree Volume
Three inputs control everything: DBH, form class, and taper per section. Getting them right for your specific stand makes the difference between a rough estimate and a figure close enough to base a contract on.
DBH is the most straightforward: measure at 4.5 feet above ground on the uphill side of the tree using a diameter tape (the tape wraps the circumference and reads out diameter directly) or a Biltmore stick held at arm’s length. Round to the nearest half inch for the cruise; most volume tables and formulas are not sensitive to differences of a tenth of an inch in DBH. The outside-bark measurement is the field standard; bark deduction to inside bark is applied afterward using species-specific factors.
Form class is estimated rather than measured for each tree in a typical cruise. Foresters use one of three approaches: measuring a representative sample of trees with a dendrometer (an optical instrument that can measure diameter at any height from a distance), applying regional default form class values for the species and site quality from USDA published tables, or using a form class table that correlates DBH to form class for specific species. For most eastern hardwood stands, form class 65 to 70 is a reasonable default. Well-stocked, second-growth Appalachian hardwoods on good sites tend to fall in the 65 to 70 range. Managed southern yellow pine plantations may run 75 to 82. Open-grown farm woodlot hardwoods may be 60 to 65. Adjusting the form class slider in this calculator shows you immediately how sensitive total tree volume is to this assumption.
Taper per 16-foot log is the reduction in inside-bark diameter from one log section to the next. Two inches per 16 feet is the commonly cited average for eastern US commercial timber. But stands with unusually straight, tall trees on good sites may taper at only 1 to 1.5 inches per section, while open-grown trees or trees on marginal sites may taper at 2.5 to 3 inches. The per-section breakdown table in this calculator shows exactly how taper depletes each successive log’s diameter and board foot yield, making visible a phenomenon that is often invisible in simple lookup-table-based volume estimates.
Why Volume Tables Exist and When You Should Use This Calculator Instead
The USDA Forest Service and most state forestry agencies publish standard timber cruise volume tables: lookup tables indexed by DBH and number of 16-foot logs (or merchantable height in feet) that give board feet per tree under a specified log rule and form class. These tables are pre-computed versions of exactly the calculation this tool performs interactively. The advantage of the tables is speed in the field: a forester can look up a 16-inch DBH tree with 3 logs in the Doyle table and read off the volume without doing any arithmetic. The disadvantage is inflexibility: the tables assume a fixed form class (often 68 or 70) and a fixed taper, which may not match your specific stand conditions.
This calculator is most valuable when you want to: understand how sensitive your volume estimate is to form class assumptions (by dragging the slider and watching the results change), explore different taper scenarios for a specific stand, compare all three log rules simultaneously for each tree you measure, or build a custom cruise tally for a small woodlot where the standard tables may not match your stand’s characteristics. For large commercial cruises where speed matters and the standard form class is appropriate for the stand, published USDA tables from the Forest Products Laboratory or state forestry agencies remain the fast standard tool.
How to Use Each Input in the Standing Timber Volume Calculator
The calculator needs four measurements or estimates: DBH, species for bark deduction, number of merchantable 16-foot log sections, and the Girard Form Class. Taper per log and stumpage price are optional refinements.
DBH outside bark: The measurement you take in the field with a diameter tape at 4.5 feet above ground. This is outside the bark. The species bark deduction converts it to inside-bark DBH, which is then used in the form class calculation. If you measure multiple trees across a stand, you can enter each one separately and add it to the stand tally, or you can enter the average DBH for a diameter class and multiply by tree count in the tally to get a class-total estimate.
Species and bark deduction: Select the tree species to apply a standard bark deduction factor. This converts outside-bark DBH to an inside-bark estimate for the form class calculation. If you have already measured inside-bark DBH directly (by pressing a diameter stick into a fresh cut on a sample tree), select “No deduction.” Red Oak and Hickory have the thickest bark of the eastern hardwood species listed, with factors of 0.88. Red Maple has the thinnest eastern hardwood bark at 0.93. Western Red Cedar has the thickest bark overall at 0.82.
Number of 16-foot logs: Count the merchantable log sections from a 1-foot stump height to the point where the stem becomes too small, crooked, or defective to produce merchantable lumber. A tree with 48 feet of straight, clean stem above the stump contains 3 full 16-foot logs. A tree with 64 feet of merchantable height contains 4 logs. Most second-growth eastern hardwoods in the 14 to 20 inch DBH range yield 2 to 4 merchantable logs. The calculator stops computing log sections when the estimated diameter drops below 4 inches inside bark, since Doyle scale gives zero for logs 4 inches and under.
Girard Form Class slider: Drag the slider from 60 (very tapered tree) to 82 (near-cylindrical) to set the form class. The display updates the first log’s small-end DIB in real time as you drag. For most eastern hardwood cruises, 65 to 70 is appropriate. For managed pine plantations in the South, 75 to 80 is reasonable. Use published form class data from your state forestry agency when available for the best accuracy.
Taper per 16-ft section: Default is 2.0 inches per log, representing average US commercial timber taper. Adjust down to 1.0 for dense stands with good stem form, or up to 3.0 for open-grown trees or difficult sites. Each 0.5-inch change in taper per log significantly affects upper-log volumes, especially for trees with 3 or more logs.
Three Real Standing Timber Volume Estimates from US Forest Types
Appalachian Hardwood Stand Cruise in Fayette County, West Virginia
A consulting forester conducting a pre-sale timber cruise in a mixed Appalachian hardwood stand in Fayette County, West Virginia tallies a 16-inch DBH White Oak. He estimates 3 merchantable 16-foot logs based on the visible stem height and quality. The stand is well-stocked second-growth on a north-facing slope, and he uses a form class of 68 (average for well-managed Appalachian hardwoods). Bark factor for White Oak: 0.90. DBH inside bark: 16 x 0.90 = 14.4 inches. First log small-end DIB: 14.4 x 0.68 = 9.8 inches. Using 2-inch taper per log: second log DIB = 7.8 inches, third log DIB = 5.8 inches.
Doyle BF by section: Log 1: ((9.8-4)^2 x 16)/16 = 33.6 BF. Log 2: ((7.8-4)^2 x 16)/16 = 14.4 BF. Log 3: ((5.8-4)^2 x 16)/16 = 3.2 BF. Total: 51.2 BF Doyle. At $280/MBF: $14.34 per tree. International 1/4-inch total: 100.9 BF. The forester counts 120 similar White Oak trees across the 40-acre stand, giving an estimated 6,144 BF Doyle or approximately $1,720 stumpage at current market rates before accounting for species and size variation within the tally.
Southern Yellow Pine Plantation Cruise in Lowndes County, Georgia
A timber buyer assessing a 25-year-old Southern Yellow Pine plantation in Lowndes County, Georgia estimates volume on a sample of trees. Average DBH in the merchantable size class: 14 inches. The plantation’s spacing and management history suggest good stem form, so the buyer uses form class 78 (well-managed pine plantation). Average merchantable height: 3 logs. Bark factor for SYP: 0.86. DBH inside bark: 14 x 0.86 = 12.0 inches. First log DIB: 12.0 x 0.78 = 9.4 inches. Taper per section: 1.5 inches (managed pine taper).
Doyle: Log 1: ((9.4-4)^2 x 16)/16 = 29.2 BF. Log 2: DIB=7.9 in, ((7.9-4)^2 x 16)/16 = 15.2 BF. Log 3: DIB=6.4 in, ((6.4-4)^2 x 16)/16 = 5.8 BF. Total: 50.2 BF Doyle per tree. 200 trees on the tract: 10,040 BF Doyle total = 10.04 MBF. At $220/MBF SYP sawtimber: $2,208.80 gross stumpage estimate. International equivalent: approximately 88 BF per tree, 17,600 BF total, showing how SYP on Doyle is significantly undervalued in volume terms.
Michigan Sugar Maple Stand Valuation for Estate Settlement in Marquette County
An estate attorney in Marquette County, Michigan needs a timber value estimate for a 60-acre northern hardwood woodlot. A certified consulting forester performs the cruise using the International 1/4-inch rule, which is standard for formal appraisals in the Great Lakes states. The dominant species is Sugar Maple. Average DBH of the merchantable maple: 18 inches. Average merchantable height: 3 logs. Bark factor for Sugar Maple: 0.92. DBH inside bark: 18 x 0.92 = 16.6 inches. Form class 68 (average northern hardwood). First log DIB: 16.6 x 0.68 = 11.3 inches. Taper: 2.0 in per log.
International 1/4-inch by section: Log 1: (0.22×127.69 minus 0.71×11.3) x 4 = (28.09 minus 8.02) x 4 = 80.3 BF. Log 2: DIB=9.3 in, (0.22×86.49 minus 0.71×9.3) x 4 = (19.03 minus 6.60) x 4 = 49.7 BF. Log 3: DIB=7.3 in, (0.22×53.29 minus 0.71×7.3) x 4 = (11.72 minus 5.18) x 4 = 26.2 BF. Total: 156.2 BF International. 80 mature maple trees in the merchantable class: 12,496 BF = 12.5 MBF International. At $200/MBF International for Grade 2 Sugar Maple: $2,500 estimated stumpage value for the maple component.
Three Expert Tips for Accurate Standing Timber Volume Estimation in US Forests
Verify Form Class on a Sample of Trees Before Cruising the Full Stand
Form class is the most influential and most frequently misjudged input in standing timber volume estimation. A form class error of 5 points (using 65 instead of 70, for example) can shift the first log’s estimated small-end diameter by 0.7 inches on a 16-inch DBH tree, which changes the Doyle estimate for that log by several board feet. On a stand tally of 200 trees, this compounds into a meaningful total volume error. To calibrate your form class for the stand, fell 5 to 10 sample trees, measure the inside-bark diameter at 17 feet above the stump, and compute the actual form class. Average those measurements and use the result for the cruise. Published form class data from USDA technical publications and state forestry extension programs provide regional averages by species that are a good starting point when sample trees are not available.
Use the Per-Section Breakdown to Identify Which Trees Are Worth Cutting
The per-section table in this calculator reveals something that a simple total-tree volume estimate obscures: the contribution of each successive 16-foot log section to total tree value decreases rapidly with taper. In the typical second-growth hardwood tree with 2-inch taper per section and form class 68, the first log accounts for roughly 65 percent of total Doyle volume on a 3-log tree, and the third log may contribute as little as 6 percent. This means that a tree with 3 good logs is often more than twice as valuable as a tree with 1 good log, even at the same DBH. When evaluating a selective harvest proposal, knowing which trees in your stand yield 3 or 4 merchantable log sections versus 1 or 2 tells you far more than average DBH alone. The stand tally allows you to separate your trees by quality and prioritize accordingly.
Know the Minimum Merchantable Top Diameter for Your Buyer Before Setting Log Count
The formula stops counting log sections when the estimated small-end DIB drops below 4 inches (the Doyle formula’s mathematical minimum), but your buyer’s minimum merchantable diameter is almost certainly higher than 4 inches. Most US sawmills require a minimum of 6 to 8 inches inside bark at the small end of the smallest log they will buy. Pulpwood and biomass buyers may take smaller material, but at lower prices per unit. When counting merchantable 16-foot log sections, stop at the section where the estimated DIB reaches your buyer’s stated minimum, not at the calculator’s mathematical minimum. Overstating log count by including marginal upper sections that a buyer would reject leads to an inflated volume estimate that does not translate into actual stumpage income. Verify your buyer’s minimum diameter specification before finalizing any timber sale volume estimate.
Quick Reference: Doyle Board Feet per Standing Tree by DBH and Log Count
Estimated board feet Doyle per tree using Girard Form Class 68, 2-inch taper per 16-ft log, and a bark factor of 0.90 (typical eastern hardwood). Source: computed from the Girard Form Class formula as referenced in USDA Forest Products Laboratory technical publications and standard US timber cruise methodology. These are planning estimates, not certified cruise data.
| DBH (in) | 1 log | 2 logs | 3 logs | 4 logs | Int’l 3 logs |
|---|---|---|---|---|---|
| 8″ | 4 | 6 | 6 | 6 | 19 |
| 10″ | 11 | 17 | 18 | 18 | 44 |
| 12″ | 20 | 33 | 37 | 38 | 79 |
| 14″ | 30 | 52 | 60 | 63 | 120 |
| 16″ | 34 | 48 | 51 | 52 | 101 |
| 18″ | 50 | 74 | 80 | 82 | 156 |
| 20″ | 66 | 100 | 109 | 112 | 213 |
| 24″ | 102 | 162 | 178 | 183 | 338 |
Frequently Asked Questions About Standing Timber Volume and Timber Cruising
Related Forestry and Timber Measurement Calculators
Legal Disclaimer and Editorial Transparency
This Standing Timber Volume Calculator uses the Girard Form Class method: first log small-end DIB = DBH inside bark x (form class / 100), with each successive 16-foot section reduced by the user-entered taper. Board feet per section are calculated using the Doyle formula BF = ((D-4)^2 x L) / 16, the Scribner approximation BF = (0.79 x D^2 minus 2D minus 4) x L/16, and the International 1/4-inch formula BF = (0.22 x D^2 minus 0.71 x D) x L/4. All results are gross estimates for sound, defect-free log sections. Tree defects, broken tops, crook, sweep, and minimum merchantable diameter thresholds are not accounted for and must be applied separately. Species bark deduction factors are based on USDA Forest Products Laboratory averages and may vary by tree age and site. This calculator is for educational and planning purposes only and does not constitute a timber cruise, stumpage appraisal, or contract instrument. For timber sales, estate valuations, property tax matters, or legal proceedings, engage a licensed Registered Forester or certified timber appraiser. USCalculators.com is not affiliated with the USDA Forest Service or any state forestry agency. Authority references: USDA Forest Products Laboratory, Madison, WI; USDA Forest Service; USDA Southern Research Station. Tool last updated August 2026.