Tree Allometrics

Larix gmelinii / Aboveground biomass

Natural larch aboveground biomass from dbh and h (Table 5, with CF)

Aboveground biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation

As printed (Table 5, Aboveground row)

Aboveground lnWag = ln(e−4.270(dbh2 × h)1.001 + e−4.016(dbh2 × h)0.825 + e−4.832dbh2.601 + e−3.080dbh1.833); CF 1.008

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

Aboveground biomass = 1.008 * (exp(-4.270) * (D^2 * H)^1.001 + exp(-4.016) * (D^2 * H)^0.825 + exp(-4.832) * D^2.601 + exp(-3.080) * D^1.833)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Equations reported in Table 5 (best additive system, log scale: ln W = a + b ln x); correction factor CF from Table 5 applied multiplicatively to exp(ln W) (Section 2.6 describes a multiplicative correction factor; the printed Eq. 9 was not readable in the HTML copy, so the multiplicative use is the paper's own description). ln is the natural logarithm. n and ranges from Table 1 / Section 2.2. Wood and bark are separate component equations in the paper (not added individually); they are summed inside the aboveground equation. The Discussion and Conclusions note that the CFs are small (<1.06) and "can be ignored", and that applying a CF breaks the additivity of the component equations; the CF is applied here because the paper prints it per equation in Table 5 and describes it as a multiplicative correction (Section 2.6).

Source
A total of 58 trees were randomly selected
Trees measured · Section 2.2
Trees measured
58
DBH range
3.2–52 cm
Height range
4.91–27.72 m
Correction factor
1.008 (applied)
Method
seemingly unrelated regression (SUR) on log-transformed equations, additive system
Where
Western Daxing'anling Mountains, Inner Mongolia, China
Last checked
2026-11-02
Calculate
Height from
13
Aboveground biomass (kg)
6.13
Carbon (kg), ×0.47
22.5
CO₂e (kg), ×44/12
Fitted DBH range0100200300400510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 8, H = 71313Computed from the printed form
computed from the published form (coefficients as printed)
D = 22, H = 17186186Computed from the printed form
computed from the published form (coefficients as printed)
D = 45, H = 251,0691,069Computed from the printed form
computed from the published form (coefficients as printed)

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