Tree Allometrics

Betula platyphylla / Branch biomass

White birch branch biomass from D and H (MS-3) (Table 6)

Branch biomassBetula platyphylla · BetulaceaeChinanaturalRead from the original paper
Photo of Betula platyphylla
© harum.koh · CC BY-SA · iNaturalist
Equation

As printed (Table 6 (MS-3), White birch, branch row; model form Eq. (14) structure)

Wb = e^β30 · D^β31 · H^β32; White birch | Branch | -5.5895 | 3.1021 | -0.0867

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

Branch biomass = exp(-5.5895 + 3.1021 * ln(D) - 0.0867 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

White birch, additive system MS-3 (Table 6); W = exp(b0) * D^b1 * H^b2 (Eqs. 17 form per Table caption). Ranges and n from Table 2. The b0 column is the exponent of e (W = e^b0 ...), as in Eq. (14). Stem includes bark. Root excludes 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
108
DBH range
1.4–20.5 cm
Height range
3.1–21 m
Method
seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2
Where
Eastern Daxing'an Mountains, Heilongjiang, northeast China
Last checked
2026-11-02
Calculate
Height from
0.24
Branch biomass (kg)
0.113
Carbon (kg), ×0.47
0.413
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350510152025303540DBH (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 = 4, H = 50.240.24Computed from the printed form
computed from the published form (coefficients as printed)
D = 10, H = 113.843.84Computed from the printed form
computed from the published form (coefficients as printed)
D = 18, H = 1722.922.9Computed from the printed form
computed from the published form (coefficients as printed)

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