Tree Allometrics

Equations / Branch biomass

Liriodendron tulipifera Branch W = a(D^2H)^b (Table 11)

Branch biomassLiriodendron tulipifera · MagnoliaceaeSouth KoreaplantationRead from the original paper
Photo of Liriodendron tulipifera
© Nicholas A. Tonelli · CC BY · iNaturalist
Equation

As printed (Table 11 (W=a(D^2H)^b))

Branch 0.002 0.985 0.747

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

Branch biomass = 0.002 * (D^2 * H)^0.985
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

W = dry weight in kg (Table 7 in kg), D = DBH in cm, H = tree height in m. The paper prints no correction factor, so none is applied. DBH 5.9-38.7 cm and height 6.6-26.6 m are the min and max of the per-site ranges in Table 6 (Suwon, Jangseong, Gangjin; ages 8-34 years).

Source
조사한 백합나무 표준목은 40본이나 뿌리까지 굴취한 것은 21본이다.
Trees measured · 결과 및 고찰 1 (Results 1)
Trees measured
40
DBH range
5.9–38.7 cm
Height range
6.6–26.6 m
R²
0.747
Method
regression in SPSS 19.0 (power forms fitted on log-transformed data)
Where
Suwon (Gyeonggi), Jangseong and Gangjin (Jeollanam-do), South Korea
Last checked
2026-11-02
Calculate
Height from
4.796
Branch biomass (kg)
2.254
Carbon (kg), ×0.47
8.266
CO₂e (kg), ×44/12
Fitted DBH range05101520253035510152025303540DBH (cm)Branch biomass (kg)Branch 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 = 15, H = 124.84.8Computed from the printed form
computed from the Table 11 coefficients
D = 30, H = 2234.134.1Computed from the printed form
computed from the Table 11 coefficients

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