Tree Allometrics

Equations / Stem biomass

Liriodendron tulipifera Stem W = aD + bD^2 (Table 10)

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

As printed (Table 10 (W=aD+bD^2))

Stem -3.058 0.423 0.964

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

Stem biomass = -3.058 * D + 0.423 * D^2
D
Diameter at breast height (1.3 m), cm

W = dry weight in kg (Table 7 in kg), D = DBH in cm. The paper prints no correction factor, so none is applied. Predicts negative biomass below about 12 cm DBH (authors' remark), so the authors prefer the power form. 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
R²
0.964
Method
regression in SPSS 19.0
Where
Suwon (Gyeonggi), Jangseong and Gangjin (Jeollanam-do), South Korea
Last checked
2026-11-02
Calculate
49.3
Stem biomass (kg)
23.17
Carbon (kg), ×0.47
84.97
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 1549.349.3Computed from the printed form
computed from the Table 10 coefficients
D = 30289289Computed from the printed form
computed from the Table 10 coefficients

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