Tree Allometrics

Pseudotsuga menziesii / Foliage biomass

NSVB Douglas-fir, Warm Continental Regime Mountains (M210): foliage biomass, segmented model (Eq. 2), D ≥ 9 in (22.86 cm)

Foliage biomassPseudotsuga menziesii · PinaceaeUnited StatesRead from the original paper
Photo of Pseudotsuga menziesii
© Danny Steaven · CC BY-SA · 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)

202,M210,,2,0.976718931,,1.888740044,1.549486061,-0.13226267,

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

Foliage biomass = 0.45359237 * 0.976718931 * 9^(1.888740044 - 1.549486061) * (D/2.54)^1.549486061 * (H/0.3048)^(-0.13226267)
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 M210 (table S19) and cover the whole segmented model; the record's DBH limit at k is the segmentation point. Upper branch of the segmented model; pair with westfall-2024-pseudotsuga-menziesii-m210-foliage-small.

Source
yi = a × Di^b × Hi^c + εi; Di < k / yi = a × k^(b−b1) × Di^b1 × Hi^c + εi; Di ≥ k
Equation · Eq. 2, 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
202,Douglas-fir,N,Pseudotsuga,menziesii,,,Pseudotsuga menziesii
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
k is a set segmentation point that is 9.0 inches for softwoods (SPCD<300) and 11.0 inches for hardwoods (SPCD≥300)
Equation · Methods, Model development, p. 2
"Foliage","FOL_DW","202","M210","WARM_CONTINENTAL_REGIME_MOUNTAINS",60,7.84666666666667,2.1,21.1
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
60
DBH range
22.86–53.59 cm
Method
NSVB segmented model (Eq. 2), coefficients for SPCD 202 in DIVISION M210 from table S9a; fitted with weighted regression to destructively sampled trees
Where
FIA ecodivision Warm Continental Regime Mountains (M210), mapped in GTR fig. 1
Last checked
2026-11-03
Calculate
Height from
34.5
Foliage biomass (kg)
16.2
Carbon (kg), ×0.47
59.4
CO₂e (kg), ×44/12
Fitted DBH range02040608010012010203040506070DBH (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 = 38.1, H = 25.934.534.5Computed from the printed form
computed from the published form at D = 15 in, H = 85 ft, converted to cm, m and kg

Report a problem with this equation · JSON

Related

Compare these curves