Acer rubrum / Foliage biomass

NSVB red maple, species-level: total foliage biomass, Schumacher-Hall model (Eq. 1)

Foliage biomassAcer rubrum · SapindaceaeUnited StatesRead from the original paper

Equation

As printed (Example 2, p. 15)

Wfoliage = 0.850316556558 × 11.1^1.998961809584 × 38^-0.418446486365 = 22.807960563788

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

Foliage biomass = 0.45359237 * 0.850316556558 * (D/2.54)^1.998961809584 * (H/0.3048)^-0.418446486365

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

Output is total foliage dry weight (Wfoliage); NSVB keeps foliage out of total AGB. Species-level coefficients (no ecodivision): table S9a in the supplement has no red maple row for M210, the division of the tree in Example 2, so the example uses the species-level row; NSVB uses division-specific coefficients where table S9a has a row for the tree's division. These are the coefficients NSVB applies to red maple in the Warm Continental Mountains (M210). 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 FOL_DW across ecodivisions (table S13). DBH is measured at 4.5 ft (1.37 m).

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

Assume a red maple (Acer rubrum; SPCD = 316)

Taxon · Example 2, p. 12

growing in the Warm Continental Mountains (DIVISION = M210)

check · Example 2, p. 12

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

Directly predict total foliage dry weight as a function of D and H.

Output · Examples of tree-level calculations, step 15, p. 8

"Foliage","FOL_DW","316",448,6.35848214285714,1,33.7

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

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

Where · Results, p. 6

Trees measured: 448
DBH range: 2.54–85.6 cm
Method: NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 316 species-level row (no DIVISION) from table S9a (the total foliage biomass table used in Example 2); 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

10.3

Foliage biomass (kg)

4.86

Carbon (kg), ×0.47

17.8

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 = 28.2, H = 11.6	10.3	10.3	Value printed in the paper Example 2 (p. 15) prints 22.807960563788 lb for D = 11.1 in, H = 38 ft; inputs and expected converted to cm, m, kg

Report a problem with this equation · JSON

Canadian national equation, red maple, dbh and height (foliage; Table 4) · Lambert et al. 2005 · DBH
Canadian national equation, red maple, dbh only (foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, silver maple, dbh and height (foliage; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, silver maple, dbh only (foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, sugar maple, dbh and height (foliage; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, sugar maple, dbh only (foliage; Table 3) · Lambert et al. 2005 · DBH
Sugar maple leaf biomass from DBH, managed stand (sugar bush) · Ter-Mikaelian & Lautenschlager 2001 · DBH
Sugar maple leaf biomass from DBH, unmanaged stand · Ter-Mikaelian & Lautenschlager 2001 · DBH
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
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Compare these curves

NSVB red maple, species-level: total foliage biomass, Schumacher-Hall model (Eq. 1)

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