NSVB loblolly pine (natural stands), species-level (all ecodivisions): foliage biomass, segmented model (Eq. 2), D < 9 in (22.86 cm)

Foliage biomassPinus taeda · PinaceaeUnited StatesnaturalRead from the original paper

Equation

As printed (Table S9a (Table S9a_foliage_coefs_spcd.csv, WO-GTR-104-Supp1), columns SPCD,DIVISION,STDORGCD,model,a,a1,b,b1,c,c1)

131,,0,2,11.31719123,,2.453122303,2.685927753,-1.229936329,

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

Foliage biomass = 0.45359237 * 11.31719123 * (D/2.54)^2.453122303 * (H/0.3048)^(-1.229936329)

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

DBH is measured at 4.5 ft (1.37 m). Paper units: in, ft, lb; expression converts D cm→in (/2.54), H m→ft (/0.3048) and lb→kg (×0.45359237). The scorecards don't split loblolly and slash pine by stand origin, so n and DBH range are left out. The DBH upper limit is the segmentation point k, not a data range. Lower branch of the segmented model; pair with westfall-2024-pinus-taeda-natural-foliage-large. Species-level row: NSVB applies it in every ecodivision that has no row of its own for this species in this table.

Source

Westfall, J.A., Coulston, J.W., Gray, A.N., Shaw, J.D., Radtke, P.J., Walker, D.M., Weiskittel, A.R., et al. (2024). A national-scale tree volume, biomass, and carbon modeling system for the United States. Gen. Tech. Rep. WO-104. Washington, DC: USDA Forest Service. 37 p.

doi:10.2737/WO-GTR-104 · Open access · copy we read

yi = a × Di^b × Hi^c + εi; Di < k / yi = a × k^(b−b1) × Di^b1 × Hi^c + εi; Di ≥ k

Equation · Eq. 2, 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

k is a set segmentation point that is 9.0 inches for softwoods (SPCD<300) and 11.0 inches for hardwoods (SPCD≥300)

Equation · Methods, Model development, 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

If a species occurs in an ecodivision not explicitly listed, the entry having no ecodivision noted is used.

Where · Results, p. 6

DBH range: up to 22.86 cm
Method: NSVB segmented model (Eq. 2), coefficients for SPCD 131 (species-level row, no DIVISION), STDORGCD 0 from table S9a; fitted with weighted regression to destructively sampled trees
Where: United States, species-level fit (NSVB uses it wherever table S9a has no row for the tree's ecodivision)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

3.85

Foliage biomass (kg)

1.81

Carbon (kg), ×0.47

6.64

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 15.2, H = 13.7	3.85	3.85	Computed from the printed form computed from the published form at D = 6 in, H = 45 ft, converted to cm, m and kg

Report a problem with this equation · JSON

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Compare these curves

NSVB loblolly pine (natural stands), species-level (all ecodivisions): foliage biomass, segmented model (Eq. 2), D < 9 in (22.86 cm)

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