Acer rubrum / Aboveground biomass, without leaves

NSVB red maple, Subtropical Division (230): total aboveground biomass (without foliage), modified Wiley model (Eq. 4)

Aboveground biomass, without leavesAcer rubrum · SapindaceaeUnited 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)

316,230,,4,0.480472826,,1.901115542,-0.026261863,0.597190558,

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

Aboveground biomass, without leaves = 0.45359237 * 0.480472826 * (D/2.54)^1.901115542 * (H/0.3048)^0.597190558 * exp(-(-0.026261863 * (D/2.54)))

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 230 (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 × exp(−(b1 × Di)) + εi

Equation · Eq. 4, 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

316,red maple,N,Acer,rubrum,,,Acer rubrum

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","316","230","SUBTROPICAL_DIVISION",175,5.82342857142857,1,33.7

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: 175
DBH range: 2.54–85.6 cm
Method: NSVB modified Wiley model (Eq. 4), coefficients for SPCD 316 in DIVISION 230 from table S8a; fitted with weighted regression to destructively sampled trees
Where: FIA ecodivision Subtropical Division (230), mapped in GTR fig. 1
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

425

Aboveground biomass, without leaves (kg)

200

Carbon (kg), ×0.47

733

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	425	425	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, silver maple, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, sugar maple, dbh and height (sum of wood, bark, branches, foliage; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, sugar maple, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
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NSVB Pacific silver fir, Marine Regime Mountains (M240): total stem wood volume (inside bark), modified Wiley model (Eq. 4) · same paper · Stem volume
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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 red maple, Subtropical Division (230): total aboveground biomass (without foliage), modified Wiley model (Eq. 4)

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