Tree Allometrics

Equations / Branch biomass

Willow (Salix spp.) branch biomass, northern taiga, Arkhangelsk

Branch biomassSalix · SalicaceaeRussianaturalRead from the original paper
Covers the whole genus
Equation

As printed (Eq. 1 and Table 2)

ln Pi = a0 + a1ln D (1); ln Pb –5,0265 2,7220 0,742 0,468 (coefficients a0, a1, adjR2, SE)

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

Branch biomass = exp(-5.0265 + 2.722 * ln(D))
D
Diameter at breast height (1.3 m), cm

Model ln Pi = a0 + a1 ln D with natural log (stated as ln); biomass Pi in kg oven-dry, D at breast height in cm. The paper states no back-transformation correction factor, so none is applied. The SE printed in Table 2 is used as rse. The paper reports adjusted R2 only, so r2 is omitted. n = 52 sample trees taken from the 52 plots in Table 1. Stem biomass is stem with bark ('Ps').

Source
Характеристика модельных деревьев ивы, взятых на 52 пробных площадях Архангельской области
Trees measured · Table 1 caption
Trees measured
52
Residual SE
0.468
Method
static allometry ln Pi = a0 + a1 ln D, regression fitted in Statgraphics-19
Where
Arkhangelsk region, northern taiga, Russia
Last checked
2026-11-02
Calculate
0.524
Branch biomass (kg)
0.246
Carbon (kg), ×0.47
0.904
CO₂e (kg), ×44/12
050100150200510152025303540DBH (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 = 50.5240.524Computed from the printed form
computed from the published form (coefficients as printed)
D = 81.881.88Computed from the printed form
computed from the published form (coefficients as printed)
D = 125.685.68Computed from the printed form
computed from the published form (coefficients as printed)

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