Tree Allometrics

Larix gmelinii / Branch biomass

Natural larch branch biomass from dbh (Table 5, with CF)

Branch biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation

As printed (Table 5, Branch row)

Branch lnWbr = −4.832 + 2.601ln(dbh); CF 1.056

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

Branch biomass = 1.056 * exp(-4.832 + 2.601 * ln(D))
D
Diameter at breast height (1.3 m), cm

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
1.056 (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
1.88
Branch biomass (kg)
0.883
Carbon (kg), ×0.47
3.24
CO₂e (kg), ×44/12
Fitted DBH range020406080100120140510152025303540DBH (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 = 8, H = 71.881.88Computed from the printed form
computed from the published form (coefficients as printed)
D = 22, H = 1726.126.1Computed from the printed form
computed from the published form (coefficients as printed)
D = 45, H = 25168168Computed from the printed form
computed from the published form (coefficients as printed)

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