Betula papyrifera / Aboveground biomass, without leaves

NSVB paper birch, Warm Continental Regime Mountains (M210): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1)

Aboveground biomass, without leavesBetula papyrifera · BetulaceaeUnited 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)

375,M210,,1,0.092749057,,1.907269894,,1.052397971,

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

Aboveground biomass, without leaves = 0.45359237 * 0.092749057 * (D/2.54)^1.907269894 * (H/0.3048)^1.052397971

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 M210 (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

375,paper birch,N,Betula,papyrifera,,,Betula papyrifera

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","375","M210","WARM_CONTINENTAL_REGIME_MOUNTAINS",65,3.92153846153846,1,13.5

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: 65
DBH range: 2.54–34.29 cm
Method: NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 375 in DIVISION M210 from table S8a; fitted with weighted regression to destructively sampled trees
Where: FIA ecodivision Warm Continental Regime Mountains (M210), mapped in GTR fig. 1
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

421

Aboveground biomass, without leaves (kg)

198

Carbon (kg), ×0.47

725

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	421	421	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

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Canadian national equation, grey birch, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
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Canadian national equation, white birch, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, yellow birch, 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 paper birch, Warm Continental Regime Mountains (M210): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1)

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