Tree Allometrics

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Larch stem biomass from DBH and height, AMS2

Stem biomassLarix olgensis · PinaceaeChinaplantationRead from the original paper
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Equation

As printed (Table 3, AMS2, DBH and H)

Stem −4.4649 0.0628 1.6980 0.0461 1.4611 0.0579

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

Stem biomass = exp(-4.4649) * D^1.698 * H^1.4611
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Component equation of the AMS2 system. Additive AMS2 system (aggregated, no constraint) fitted by weighted nonlinear seemingly unrelated regression, the system the authors recommend over the base model when no subsample is available for random effects. Biomass models are exp(b0) * DBH^b1 [* H^b2] with no back-transform factor (nonlinear fit). The paper also gives base model, mixed-effects, AMS1, DMS1 and DMS2 parameters (Tables 2-4), not added here.

Source
the dataset consisted of measurements on 229 larch trees using destructive biomass sampling
Trees measured · Section 2.1
DBH (cm) 229 2.0 35.7 17.9 6.9
Smallest DBH · Table 1
H (m) 229 3.8 27.0 16.8 5.4
h min m · Table 1
R2 0.9738 (AMS2, DBH and H, stem column)
R² · Table 5, AMS2
Trees measured
229
DBH range
2–35.7 cm
Height range
3.8–27 m
R²
0.9738
Method
weighted NSUR (AMS2)
Where
Heilongjiang Province, Northeast China (40 plots, 10 sites)
Last checked
2026-11-02
Calculate
Height from
14.23
Stem biomass (kg)
6.687
Carbon (kg), ×0.47
24.52
CO₂e (kg), ×44/12
Fitted DBH range020406080100120140160510152025303540DBH (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 = 10, H = 914.214.2Computed from the printed form
hand-computed from the published form
D = 25, H = 20216.6216.5Computed from the printed form
hand-computed from the published form

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