Tree Allometrics

Robinia pseudoacacia / Aboveground biomass, without leaves

Young black locust woody AGB from shoot basal diameter (Eq. 6)

Aboveground biomass, without leavesRobinia pseudoacacia · FabaceaeGermanyplantationRead from the original paper
Photo of Robinia pseudoacacia
© Nick Kleinschmidt · CC BY · iNaturalist
Equation

As printed (Table 2, equation 6)

ln(M [kg]) = - 3.7933 + 2.8407 . ln(SBD [cm])

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

Aboveground biomass, without leaves = exp(-3.7933 + 2.8407 * ln(DRC)) * 1.099
DRC
Root collar / stem base diameter, cm

Output is total aboveground woody dry biomass of a single tree (kg); the trees were cut about 10 cm above the soil, so the lowest 10 cm of stem is not in the biomass. Foliage listed as excluded because the paper models woody biomass only. SBD (shoot basal diameter, measured with a caliper about 10 cm above the soil) is mapped to canonical DRC. Natural log, as printed in Table 2; M = CF * exp(ln(M)) per Eq. 3. Trees from 2, 3, 4 and 14 year old short-rotation plantations. The paper states 1243 trees in the text and n = 1242 in the Table 2 caption; the table value is used. The paper gives no diameter or height range for the fit, so none is set.

Source
CF = 1.099
Correction factor · Table 2, equation 6
n = 1242
Trees measured · Table 2 caption
Trees measured
1,242
R²
0.91
Residual SE
0.43
Correction factor
1.099 (applied)
Method
OLS regression of ln-transformed data, back-transformed with correction factor CF
Where
Welzow-Sued post-mining area, Lower Lusatia, Brandenburg
Last checked
2026-11-02
Calculate
9.1
Aboveground biomass, without leaves (kg)
4.28
Carbon (kg), ×0.47
15.7
CO₂e (kg), ×44/12
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
DRC = 89.19.1Value printed in the paper
Table 3, SBD column, eq. 6 (rounded to 0.1 kg in the paper)
DRC = 912.712.7Value printed in the paper
Table 3, SBD column, eq. 6 (rounded to 0.1 kg in the paper)
DRC = 1017.217.2Value printed in the paper
Table 3, SBD column, eq. 6 (rounded to 0.1 kg in the paper)

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