Quercus alba / Aboveground biomass, without leaves

NSVB white oak, Hot Continental Mountains (M220), segmented model, D < 11 in (27.94 cm)

Aboveground biomass, without leavesQuercus alba · FagaceaeUnited StatesmixedRead from the original paper

Equation

As printed (Example 4, p. 24)

AGBPredicted = 0.024470323124 × 11^(1.93799905037 – 1.886819489967) × 18.1^1.886819489967 × 65^1.403264431619 = 2285.319903933610

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

Aboveground biomass, without leaves = 0.45359237 * 0.024470323124 * (D/2.54)^1.93799905037 * (H/0.3048)^1.403264431619

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

Lower branch of the segmented model (D < 11 in = 27.94 cm). The GTR does not print a worked value for this branch; the check is computed. a, b and c are the values printed in Example 4 (b = 1.93799905037 is the exponent inside k^(b−b1)). dbh_max_cm is the segmentation point, not a data range. Same output definition and unit conversions as the large-tree branch.

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

a live white oak (Quercus alba; SPCD = 802) tree having D = 18.1 inches, H = 65 feet

Taxon · Example 4, p. 21

growing in the Hot Continental Mountains (DIVISION = M220)

Where · Example 4, p. 21

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

Di is diameter (inches) at breast height (4.5 feet), Hi is total tree height (feet)

Units · Methods, p. 2

yi = a × Di^b × Hi^c + εi; Di < k

Equation · Eq. 2, p. 2

DBH range: up to 27.94 cm
Method: NSVB segmented model (Eq. 2), lower branch; same coefficients a, b, c as printed in Example 4
Where: FIA ecodivision M220, Hot Continental Mountains (Appalachian/Ozark highlands)
Last checked: 2026-11-01

Calculate

DBH (cm)Height (m)

Height from

151

Aboveground biomass, without leaves (kg)

71.1

Carbon (kg), ×0.47

261

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 = 20.3, H = 15.2	151	151	Computed from the printed form computed from the published form at D = 8 in (20.32 cm), H = 50 ft (15.24 m), converted lb→kg

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NSVB white oak, Hot Continental Mountains (M220), segmented model, D ≥ 11 in (27.94 cm) · same paper · Aboveground biomass, without leaves

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NSVB white oak, Hot Continental Mountains (M220), segmented model, D < 11 in (27.94 cm)

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