Tree Allometrics

Pinus taeda / Stem volume

NSVB loblolly pine (natural stands), Hot Continental Division (220): total stem wood volume (inside bark), Schumacher-Hall model (Eq. 1)

Stem volumePinus taeda · PinaceaeUnited StatesnaturalRead from the original paper
Photo of Pinus taeda
© Chris M Morris · CC BY · iNaturalist
Equation

As printed (Table S1a (Table S1a_volib_coefs_spcd.csv, WO-GTR-104-Supp1), columns SPCD,DIVISION,STDORGCD,model,a,a1,b,b1,c,c1)

131,220,0,1,0.00178627,,1.791805472,,1.183627837,

In this library's units, ready to compute (m³)

Stem volume = 0.028316846592 * 0.00178627 * (D/2.54)^1.791805472 * (H/0.3048)^1.183627837
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Output is gross total stem wood volume inside bark, groundline to tip (VtotibGross), before cull or broken-top deductions. DBH is measured at 4.5 ft (1.37 m). Paper units: in, ft, ft3; expression converts D cm→in (/2.54), H m→ft (/0.3048) and ft3→m3 (×0.028316846592). The scorecards don't split loblolly and slash pine by stand origin, so n and DBH range are left out.

Source
yi = a × Di^b × Hi^c + εi
Equation · Eq. 1, p. 2
Di is diameter (inches) at breast height (4.5 feet), Hi is total tree height (feet)
Units · Methods, Model development, p. 2
units for volume and biomass predictions are cubic feet and pounds, respectively
published.output unit · Examples of tree-level calculations, p. 8
131,loblolly pine,N,Pinus,taeda,,,Pinus taeda
Taxon · FIADB REF_SPECIES.csv (FIA DataMart), columns SPCD,COMMON_NAME,SHARED_COMMON_NAME_IND,GENUS,SPECIES,VARIETY,SUBSPECIES,SCIENTIFIC_NAME: the species codes the NSVB tables use
total stem was defined as groundline to tree tip
Output · Methods, Data, p. 2
stand origins for planted (stand origin code (STDORGCD) = 1) and natural (STDORGCD = 0) stands may be fitted separately
stand · Methods, Model development, p. 3
Method
NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 131 in DIVISION 220, STDORGCD 0 from table S1a; fitted with weighted regression to destructively sampled trees
Where
FIA ecodivision Hot Continental Division (220), mapped in GTR fig. 1
Last checked
2026-11-03
Calculate
Height from
0.663
Stem volume (m³)
00.511.522.5102030405060DBH (cm)Stem volume (m³)Stem volume

Shaded: the DBH range the model was fitted on. Other inputs held at the values above.

Checks this equation passes

On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.

InputsExpectedWe getFrom
D = 30.5, H = 21.30.6630.663Computed from the printed form
computed from the published form at D = 12 in, H = 70 ft, converted to cm, m and m3

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