Tree Allometrics

Equations / Foliage biomass

Korean pine foliage biomass from D and H (System 2, Table 4)

Foliage biomassPinus koraiensis · PinaceaeChinaplantationRead from the original paper
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Equation

As printed (Eqs. (2) and Table 4)

lnWf = a* + b* × lnD + c* × lnH; Table 4, Korean pine, System 2 (D and H): Foliage | -4.9679 | 2.6265 | -0.1735

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

Foliage biomass = exp(-4.9679 + 2.6265 * ln(D) - 0.1735 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Korean pine plantations, System 2 (D and H) of Table 4: ln W = a* + b* ln D + c* ln H, natural logarithm, coefficients as printed (a*, b*, c*). No correction factor is stated in the paper, none applied. n and D/H ranges from Table 2 (sample statistics of the fitted trees). Stem includes bark; roots exclude fine roots <5 mm. No R2 recorded (adjusted R2 only).

Source
a total of 114 Korean pine trees, 90 larch trees, and 85 Mongolian pine trees were destructively sampled
Trees measured · Section 2.2
Trees measured
114
DBH range
5.4–33.4 cm
Height range
5.4–16.2 m
Method
seemingly unrelated regression (SUR) on log-transformed additive system, ln W = a + b ln D + c ln H
Where
Pure plantations, northeast China
Last checked
2026-11-02
Calculate
Height from
1.23
Foliage biomass (kg)
0.578
Carbon (kg), ×0.47
2.119
CO₂e (kg), ×44/12
Fitted DBH range020406080510152025303540DBH (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 = 8.2, H = 7.61.231.23Computed from the printed form
computed from the published form (coefficients as printed)
D = 16.6, H = 10.87.387.38Computed from the printed form
computed from the published form (coefficients as printed)
D = 27.8, H = 1427.327.3Computed from the printed form
computed from the published form (coefficients as printed)

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