Tree Allometrics

Larix gmelinii / Root biomass

Dahurian larch root biomass from D, H and crown width, system MS-1 (Table 4)

Root biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation

As printed (Table 4, Dahurian larch, root row; model form Eq. (14))

Wr = e^β10 · D^β11 · H^β12 · CW^β13; Dahurian larch | Root | -3.3149 | 2.3609 | -0.0254 | 0.4716

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

Root biomass = exp(-3.3149 + 2.3609 * ln(D) - 0.0254 * ln(H) + 0.4716 * ln(CD))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m
CD
Crown diameter, m

Dahurian larch, MS-1 (Table 4): W = exp(b0) * D^b1 * H^b2 * CW^b3 where CW is crown width (m), mapped to canonical CD. Crown width range 0.3-2.9 m (Table 2). Stem includes bark; roots exclude fine roots <5 mm. No R2 recorded (adjusted R2 only).

Source
138 Dahurian larch trees and 108 white birch trees were destructively sampled
Trees measured · Section 2.2
Trees measured
138
DBH range
1.7–28.4 cm
Height range
2.4–21.9 m
Method
seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2 CW^b3
Where
Eastern Daxing'an Mountains, Heilongjiang, northeast China
Last checked
2026-11-02
Calculate
Height from
0.723
Root biomass (kg)
0.34
Carbon (kg), ×0.47
1.25
CO₂e (kg), ×44/12
Fitted DBH range050100150200510152025303540DBH (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 = 4, H = 5, CD = 0.60.7230.723Computed from the printed form
computed from the published form (coefficients as printed)
D = 10, H = 11, CD = 1.28.558.55Computed from the printed form
computed from the published form (coefficients as printed)
D = 20, H = 17, CD = 2.257.857.8Computed from the printed form
computed from the published form (coefficients as printed)

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