Picea engelmannii / Aboveground biomass, without leaves

NSVB Engelmann spruce, Temperate Steppe Regime Mountains (M330): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1)

Aboveground biomass, without leavesPicea engelmannii · PinaceaeUnited StatesRead from the original paper

Equation

As printed (Table S8a (Table S8a_total_biomass_coefs_spcd.csv, WO-GTR-104-Supp1), columns SPCD,DIVISION,STDORGCD,model,a,a1,b,b1,c,c1)

93,M330,,1,0.213931593,,1.67741863,,0.941537364,

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

Aboveground biomass, without leaves = 0.45359237 * 0.213931593 * (D/2.54)^1.67741863 * (H/0.3048)^0.941537364

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

Output is gross AGB without foliage (AGBPredicted), before NSVB's cull and broken-top reductions and harmonization with components. 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). n and the DBH range are from the scorecard for TT_WDBK_DW_ADJ in M330 (table S19). For AGB the scorecard rates NSVB's harmonized total (TT_WDBK_DW_ADJ), not this model alone; only its n and DBH range are used.

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

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

93,Engelmann spruce,N,Picea,engelmannii,,,Picea engelmannii

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 aboveground biomass (without foliage)

output.excludes · Methods, Model development, p. 4

"Total Tree Wood+Bark","TT_WDBK_DW_ADJ","93","M330","TEMPERATE_STEPPE_REGIME_MOUNTAINS",64,7.9109375,1,27.1

Fit · Table S19_component_division_spcd_scorecard.csv (WO-GTR-104-Supp1), columns VAR2,VAR3,SPCD,DIVISION,DIVISION_DESCRIPTION,N,Avg_DBH,Min_DBH,Max_DBH

key modeling statistics such as sample sizes (n), tree diameter distributions (minimum, mean, and maximum)

Fit · Methods, Model development, p. 6

Trees measured: 64
DBH range: 2.54–68.83 cm
Method: NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 93 in DIVISION M330 from table S8a; fitted with weighted regression to destructively sampled trees
Where: FIA ecodivision Temperate Steppe Regime Mountains (M330), mapped in GTR fig. 1
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

342

Aboveground biomass, without leaves (kg)

161

Carbon (kg), ×0.47

590

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 = 30.5, H = 21.3	342	342	Computed from the printed form computed from the published form at D = 12 in, H = 70 ft, converted to cm, m and kg

Report a problem with this equation · JSON

North American taxa group: Picea ≥ 0.35 spg (Table 5) · Chojnacky et al. 2014 · DBH
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Norway spruce, Czech Republic: Total aboveground biomass from D and H/D (Table 2) · Čihák & Vejpustková 2018 · DBH + Height
Norway spruce, Czech Republic: Total aboveground biomass from D (Table 2) · Čihák & Vejpustková 2018 · DBH
European general equation, Picea abies, aboveground, diameter only (Eq. 3) · Forrester et al. 2017 · DBH
Canadian national equation, black spruce, dbh and height (sum of wood, bark, branches, foliage; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, black spruce, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, red spruce, dbh and height (sum of wood, bark, branches, foliage; Table 4) · Lambert et al. 2005 · DBH + Height
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Compare these curves

NSVB Engelmann spruce, Temperate Steppe Regime Mountains (M330): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1)

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