NSVB silver maple, species-level (all ecodivisions): branch biomass (wood and bark), Schumacher-Hall model (Eq. 1)

Branch biomassAcer saccharinum · SapindaceaeUnited StatesRead from the original paper

Equation

As printed (Table S7a (Table S7a_branch_biomass_coefs_spcd.csv, WO-GTR-104-Supp1), columns SPCD,DIVISION,STDORGCD,model,a,b,b1,c)

317,,,1,3287.212531,3.842100097,,-2.804812895

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

Branch biomass = 0.45359237 * 3287.212531 * (D/2.54)^3.842100097 * (H/0.3048)^(-2.804812895)

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). n and the DBH range are from the scorecard for BRT_WDBK_DW_TOT across ecodivisions (table S13). 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

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

317,silver maple,N,Acer,saccharinum,,,Acer saccharinum

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 branch wood and bark biomass

Output · Methods, Model development, p. 4

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

Where · Results, p. 6

"Branches","BRT_WDBK_DW_TOT","317",53,9.70188679245283,1.8,19.3

Fit · Table S13_component_spcd_scorecard.csv (WO-GTR-104-Supp1), columns VAR2,VAR3,SPCD,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: 53
DBH range: 4.57–49.02 cm
Method: NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 317 (species-level row, no DIVISION) from table S7a; fitted with weighted regression to destructively sampled trees
Where: United States, species-level fit (NSVB uses it wherever table S7a has no row for the tree's ecodivision)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

140

Branch biomass (kg)

65.6

Carbon (kg), ×0.47

240

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	140	140	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

Canadian national equation, red maple, dbh only (branches; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, red maple, dbh and height (branches; Table 4) · Lambert et al. 2005 · DBH
Canadian national equation, silver maple, dbh only (branches; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, silver maple, dbh and height (branches; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, sugar maple, dbh only (branches; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, sugar maple, dbh and height (branches; Table 4) · Lambert et al. 2005 · DBH + Height
NSVB boxelder, species-level (all ecodivisions): branch biomass (wood and bark), Schumacher-Hall model (Eq. 1) · Westfall et al. 2024 · DBH + Height
NSVB red maple, Warm Continental Division (210): branch biomass (wood and bark), Schumacher-Hall model (Eq. 1) · Westfall et al. 2024 · DBH + Height
NSVB Pacific silver fir, Marine Division (240): total stem wood volume (inside bark), modified Wiley model (Eq. 4) · same paper · Stem volume
NSVB Pacific silver fir, species-level (all ecodivisions): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1) · same paper · Aboveground biomass, without leaves
NSVB Pacific silver fir, species-level (all ecodivisions): branch biomass (wood and bark), Schumacher-Hall model (Eq. 1) · same paper · Branch biomass
NSVB Pacific silver fir, Warm Continental Regime Mountains (M210): total stem wood volume (inside bark), modified Wiley model (Eq. 4) · same paper · Stem volume
NSVB Pacific silver fir, Marine Regime Mountains (M240): total stem wood volume (inside bark), modified Wiley model (Eq. 4) · same paper · Stem volume
NSVB Pacific silver fir, species-level (all ecodivisions): total stem wood volume (inside bark), modified Wiley model (Eq. 4) · same paper · Stem volume
NSVB balsam fir, Subarctic Division (130): total stem wood volume (inside bark), segmented model (Eq. 2), D ≥ 9 in (22.86 cm) · same paper · Stem volume
NSVB balsam fir, Subarctic Division (130): total stem wood volume (inside bark), segmented model (Eq. 2), D < 9 in (22.86 cm) · same paper · Stem volume

Compare these curves

NSVB silver maple, species-level (all ecodivisions): branch biomass (wood and bark), Schumacher-Hall model (Eq. 1)

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