Robinia pseudoacacia / Aboveground biomass, without leaves

Young black locust woody AGB from SBD times height (Eq. 8)

Aboveground biomass, without leavesRobinia pseudoacacia · FabaceaeGermanyplantationRead from the original paper

Equation

As printed (Table 2, equation 8)

ln(M [kg]) = - 3.6887 + 1.4412 . ln(SBD [cm] . TH [m])

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

Aboveground biomass, without leaves = exp(-3.6887 + 1.4412 * ln(DRC * H)) * 1.075

DRC: Root collar / stem base diameter, cm
H: Total tree height, m

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

Böhm, Ch., Quinkenstein, A., & Freese, D. (2011). Yield prediction of young black locust (Robinia pseudoacacia L.) plantations for woody biomass production using allometric relations. Annals of Forest Research, 54(2), 215-227.

doi:10.15287/afr.2011.91 · Open access · copy we read

CF = 1.075

Correction factor · Table 2, equation 8

n = 1242

Trees measured · Table 2 caption

Trees measured: 1,242
R²: 0.93
Residual SE: 0.38
Correction factor: 1.075 (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

Root collar diameter (cm)Height (m)

Height from

0.638

Aboveground biomass, without leaves (kg)

0.3

Carbon (kg), ×0.47

1.1

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%.

Inputs	Expected	We get	From
DRC = 3, H = 3	0.638	0.638	Computed from the printed form hand-computed from the published form
DRC = 6, H = 5	3.62	3.62	Computed from the printed form hand-computed from the published form
DRC = 10, H = 9	17.6	17.6	Computed from the printed form hand-computed from the published form

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Young black locust woody AGB from shoot basal diameter (Eq. 6) · Böhm et al. 2011 · Root collar diameter
Young black locust woody AGB from tree height (Eq. 7) · Böhm et al. 2011 · Height
Young black locust woody AGB from shoot basal diameter (Eq. 6) · same paper · Aboveground biomass, without leaves
Young black locust woody AGB from tree height (Eq. 7) · same paper · Aboveground biomass, without leaves

Compare these curves

Young black locust woody AGB from SBD times height (Eq. 8)

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