Tree Allometrics

Equations / Stem biomass

White birch stem biomass from D only (MS-2) (Table 5)

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

As printed (Table 5 (MS-2), White birch, stem row; model form Eq. (14) structure)

Ws = e^β20 · D^β21; White birch | Stem | -2.5622 | 2.515

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

Stem biomass = exp(-2.5622 + 2.515 * ln(D))
D
Diameter at breast height (1.3 m), cm

White birch, additive system MS-2 (Table 5); W = exp(b0) * D^b1 (Eqs. 16 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
2.52
Stem biomass (kg)
1.184
Carbon (kg), ×0.47
4.343
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,000510152025303540DBH (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 = 42.522.52Computed from the printed form
computed from the published form (coefficients as printed)
D = 1025.225.2Computed from the printed form
computed from the published form (coefficients as printed)
D = 18110.7110.7Computed from the printed form
computed from the published form (coefficients as printed)

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