Tree Allometrics

Equations / Branch biomass

Oak living branch biomass, Level 1

Branch biomassQuercus (Q. robur and Q. petraea)CzechiaRead from the original paperPeer-reviewed source

Fitted on these 2 species: Quercus robur, Quercus petraea

2 of the 2 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 3, model below table and Branch biomass, Level 1 row, p. 115)

Biomass component = λ × exp(p₀ + p₁ × lnD); p₀ = −3.687, p₁ = 2.363, λ = 1.149

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

Branch biomass = 1.149 * exp(-3.687 + 2.363 * ln(D))
D
Diameter at breast height (1.3 m), cm

This predicts living branches; dead branches were fitted separately. The printed correction factor multiplies the back-transformed prediction. Adjusted R² is not stored as unadjusted R².

Source
–3.687 2.363
Equation · Table 3, branch biomass, Level 1, p. 115
Biomass component = λ × exp(p0 + p1 × lnD
Equation · Table 3 formula, p. 115
correction factor (λ)
Equation · Table 3 caption, p. 115
component of living branches
Output · Results, p. 113
D (cm)
Units · Fig. 2, p. 111
BB (kg/tree)
Units · Fig. 7, p. 118
Quercus robur; Quercus petraea
taxon.members · Keywords, p. 109
different regions of the Czech Republic
Where · Abstract, p. 109
temperate region
Where · Keywords, p. 109
51 grown trees sampled from 6 sites
Trees measured · Abstract, p. 109
breast height diameter (D) ranging from 6 to 59 cm
Smallest DBH · Abstract, p. 109
breast height diameter (D) ranging from 6 to 59 cm
Largest DBH · Abstract, p. 109
0.898 0.407 1.149 40.4
Correction factor · Table 3, branch biomass, Level 1, p. 115
linearized model (Eq. 3)
method · Methods, p. 112
Trees measured
51
DBH range
6–59 cm
Correction factor
1.149 (applied)
Method
Linearized regression
Where
Six sites in the Czech Republic
Last checked
2026-11-05
Calculate
89
Branch biomass (kg)
41.8
Carbon (kg), ×0.47
153
CO₂e (kg), ×44/12

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 = 308989Computed from the printed form
Computed from the printed coefficients and correction factor.

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