Tree Allometrics

Fagus grandifolia / Aboveground biomass, without leaves

NSVB American beech, Warm Continental Division (210): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1)

Aboveground biomass, without leavesFagus grandifolia · FagaceaeUnited StatesRead from the original paper
Photo of Fagus grandifolia
© Douglas Goldman · CC BY-SA · iNaturalist
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)

531,210,,1,0.114158762,,1.796155886,,1.118192132,

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

Aboveground biomass, without leaves = 0.45359237 * 0.114158762 * (D/2.54)^1.796155886 * (H/0.3048)^1.118192132
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 210 (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
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
531,American beech,N,Fagus,grandifolia,,,Fagus grandifolia
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","531","210","WARM_CONTINENTAL_DIVISION",84,9.76190476190476,1.2,18.2
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
84
DBH range
3.05–46.23 cm
Method
NSVB Schumacher-Hall model (Eq. 1), coefficients for SPCD 531 in DIVISION 210 from table S8a; fitted with weighted regression to destructively sampled trees
Where
FIA ecodivision Warm Continental Division (210), mapped in GTR fig. 1
Last checked
2026-11-03
Calculate
Height from
520
Aboveground biomass, without leaves (kg)
244
Carbon (kg), ×0.47
896
CO₂e (kg), ×44/12
Fitted DBH range05001,0001,5002,000102030405060DBH (cm)Aboveground biomass, without leaves (kg)Aboveground biomass, without leaves

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 = 21.3520520Computed 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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