Tree Allometrics

Abies grandis / Foliage biomass

NSVB grand fir, Temperate Steppe Regime Mountains (M330): foliage biomass, Schumacher-Hall model (Eq. 1)

Foliage biomassAbies grandis · PinaceaeUnited StatesRead from the original paper
Photo of Abies grandis
© Dave Powell · CC BY · iNaturalist
Equation

As printed (Table S9a (Table S9a_foliage_coefs_spcd.csv, WO-GTR-104-Supp1), columns SPCD,DIVISION,STDORGCD,model,a,a1,b,b1,c,c1)

17,M330,,1,0.301608041,,2.062927801,,0.170076208,

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

Foliage biomass = 0.45359237 * 0.301608041 * (D/2.54)^2.062927801 * (H/0.3048)^0.170076208
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 FOL_DW in M330 (table S19).

Source
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
17,grand fir,N,Abies,grandis,,,Abies grandis
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
"Foliage","FOL_DW","17","M330","TEMPERATE_STEPPE_REGIME_MOUNTAINS",75,7.25333333333333,1,18.1
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
75
DBH range
2.54–45.97 cm
Method
NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 17 in DIVISION M330 from table S9a; 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
Height from
47.4
Foliage biomass (kg)
22.3
Carbon (kg), ×0.47
81.8
CO₂e (kg), ×44/12
Fitted DBH range050100150200102030405060DBH (cm)Foliage biomass (kg)Foliage biomass

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%.

InputsExpectedWe getFrom
D = 30.5, H = 21.347.447.4Computed from the printed form
computed from the published form at D = 12 in, H = 70 ft, converted to cm, m and kg

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