Skip to content
Request a ToolBrowse all tools
Home / Timber Measurement & Forestry / Standing Tree Volume
Vriksai Timber Intelligence

Standing Tree VolumeIS 4213 India and Quarter-Saw Yield Calculator

Dual-mode tool: estimate standing tree volume using IS 4213:2013 India, or switch to Quarter-Saw Yield mode to predict sawn lumber yield from round log dimensions for premium timber.

Why this calculation matters

Standing volume is what a cruise estimate is built on. It sets the purchase decision before a single log reaches the landing.

IS 4213:2013 IndiaDBH Based FormulaQuarter-Saw Yield %Plantation Valuation INRPDF Report
ST

Standing Tree Volume

IS 4213 India and Quarter-Saw Yield Calculator

Calculation Mode
Standing Tree Measurements
cm

Measured at 1.3m (4.5ft) above ground. Standard for all tree volume formulas worldwide.

metres
0 to 1

Teak/tropical: 0.55. Pine: 0.48-0.52. Plantation: 0.50. IS 4213 provides species values.

trees
INR/m3
OK
Results
Formula Trace
About Standing Tree Volume and Quarter-Saw Yield
This dual-mode tool handles two related calculations. Mode 1: estimate merchantable volume of standing trees from DBH and height using IS 4213:2013 India for plantation valuation and timber permits. Mode 2: predict quarter-sawn lumber yield percentage from round log dimensions for premium timber applications. Field crews use it for quick tree volume estimation from a DBH tape reading and an estimated height — no felling required.
Standing Tree Volume - Where Used?
Forest Dept IndiaPlantation ValuationIS 4213:2013Tree Felling PermitsCarbon Credits
Quarter-Saw Yield - Where Used?
Premium FlooringGuitar Tops and BacksDimensionally Stable StockHigh-End Furniture
Formulas
IS 4213 India: V = (pi/4) x DBH^2 x H x f DBH in metres, H in metresBasal Area: BA = pi x (DBH/200)^2 m2, DBH in cmQS boards per quarter = floor(R x 10 / (thickness + kerf))
Sources & verification
  • IS 4213: V = (π/4) × DBH² × H × f
  • Basal area BA = π × (DBH/200)²
Formula checked against the sources above by an automated regression test (tests/verify-phase3a.js) that derives each expected value independently of this page. Last reviewed .
FAQ
What is Form Factor in IS 4213?
Form factor f accounts for tree taper - trees are not cylinders. IS 4213:2013 provides species values: Teak = 0.55-0.60, Sal = 0.53-0.57, Eucalyptus = 0.48-0.52. Using wrong form factor is the most common error in standing tree valuation.
Why pay premium for quarter-sawn lumber?
Quarter-sawn boards expand and shrink 50-60% less in width vs flat-sawn, show beautiful ray fleck patterns in oak, are more wear-resistant in flooring, and hold finish better. Premium is 20-50% over flat-sawn.
How accurate is a standing-tree volume estimate compared to scaling the felled log?
It's an educated estimate, not a precise count. With a standing tree you can only measure diameter at breast height and estimate the usable height and form, so the result depends on assumptions about how the trunk tapers — which is what the form factor accounts for. Expect a standing estimate to be within roughly 10–15% of the actual scaled volume for a well-formed tree, and less reliable for trees with heavy branching, lean or defect. It's ideal for valuing standing timber and planning a harvest, but the felled-log scale is what settles the final invoice.
ResourcesView the formulasFormula Library
Related Timber Measurement tools
More tools in this category
Doyle Log RuleBoard-foot volume by the Doyle scaleScribner Log RuleBoard-foot volume by the Scribner scaleInternational Log RuleBoard-foot volume by the International 1/4-inch ruleHoppus CalculatorRound-log volume by the Hoppus system
Wood species data
Density, hardness and movement for 60 timbers
Browse all species 
How the calculation works
Volume is the area of the trunk at chest height multiplied by the height, then reduced by a form factor because a tree is not a cylinder — it narrows toward the top. The form factor is doing most of the work in this estimate, which is why it is an input rather than a constant.
Show the formula
Stem volume = pi/4 x DBH^2 x H x f, where DBH is diameter at breast height in metres, H is total height and f is the form factor. Quarter-saw mode: boards per quarter = floor(radius / (board thickness + kerf)); total = that x 4; board volume uses an average width of 0.68 x radius.
The form-factor equation is standard mensuration and the form factor is your input, which is where the accuracy lives. The quarter-saw mode is different: the 0.68 average-width factor and the 1.22 flatsawn ratio are practice-derived with no published source, because real yield depends on sawing pattern and log defect. Treat that mode as indicative only.
References and what each one provides
  • USDA Wood Handbook (FPL GTR-190)USDA Forest Products LaboratoryPublished density, moisture relationships, shrinkage coefficients and mechanical properties for a wide range of species. The reference dataset behind most wood-property figures on this site.
Unverified values are marked as such rather than presented as sourced.
Limitations of this calculation
Estimates stem volume from a regular-form assumption. It does not account for fork, sweep, butt swell, taper irregularity, defect, or the difference between gross stem volume and merchantable volume.
Do not use this for Timber sale valuation, standing sale contracts, or forest inventory reporting.
Figures are engineering estimates from the inputs and assumptions shown. Verify against the actual material and, where the result affects structure or safety, against a qualified professional.
Ipe LapachoDensity · Janka · movementIrokoDensity · Janka · movementJarrahDensity · Janka · movement
How to use this tool
  1. Enter the log measurements below, then press Calculate.
  2. Pick your select mode from the dropdown.
  3. Fill in dbh - diameter at breast height, total tree height, form factor, number of trees. 
  4. Press Calculate. 
Worked example
With the tool's starting values — dbh - diameter at breast height = 45, total tree height = 18, form factor = 0.55, number of trees = 1, price per m3 = 25000 — pressing Calculate gives: 1.5745 m3 (is 4213 volume); 0.15904 m2 (basal area); 866 kg (est. weight). 
Common mistakes to avoid