Tree Allometrics

Equations / Branch biomass

Oak branch biomass from D, additive system 1 (Table 4)

Branch biomassQuercus (Q. mongolica and Q. wutaishanica) · FagaceaeChinanaturalRead from the original paper

Fitted on these 2 species: Quercus mongolica, Quercus wutaishanica

1 of the 2 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 4, System 1)

Branch Wbr = 0.011D2.772

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

Branch biomass = 0.011 * D^2.772
D
Diameter at breast height (1.3 m), cm

Fitted on 120 Mongolian oak and 39 Liaodong oak trees (Table 1; D 1.5-33.0 cm). Exponents are printed flattened in the HTML text; read as D^exponent. No R2 recorded (adjusted R2 only).

Source
A total of 159 sample trees
Trees measured · Abstract
Trees measured
159
DBH range
1.5–33 cm
Height range
1.4–20.5 m
Method
weighted nonlinear seemingly unrelated regression (NSUR), additive system
Where
Daxing'anling, Xiaoxing'anling and Changbai mountains, NE China
Last checked
2026-11-02
Calculate
0.953
Branch biomass (kg)
0.448
Carbon (kg), ×0.47
1.64
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 = 5, H = 40.9530.953Computed from the printed form
computed from the published form (coefficients as printed)
D = 15, H = 92020Computed from the printed form
computed from the published form (coefficients as printed)
D = 28, H = 16113113Computed from the printed form
computed from the published form (coefficients as printed)

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