Tree Allometrics

Liriodendron tulipifera / Root biomass

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

Root 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))

Root 0.006 0.941 0.847

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

Root biomass = 0.006 * (D^2 * H)^0.941
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. Only 21 of the 40 trees were excavated for roots; the paper does not state n or the DBH/height range for this equation, so they are omitted.

Source
R²
0.847
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
10.2
Root biomass (kg)
4.78
Carbon (kg), ×0.47
17.5
CO₂e (kg), ×44/12
010203040506070510152025303540DBH (cm)Root biomass (kg)Root 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 = 1210.210.2Computed from the printed form
computed from the Table 11 coefficients
D = 30, H = 2266.366.3Computed from the printed form
computed from the Table 11 coefficients

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