Tree Allometrics

Equations / Branch biomass

Oak living branch biomass, Level 2

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

Not fully checked: The stored height range follows the abstract's 6–32 m, but Table 1 reports conflicting site height ranges. Fig. 2 supports taller trees than Table 1 lists for Lanžhot. Confirm the fitted height limits before treating them as firm applicability bounds.

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 2 row, p. 115)

Biomass component = λ × exp(p₀ + p₁ × lnD + p₂ × lnH); p₀ = −2.707, p₁ = 2.949, p₂ = −0.940, λ = 1.097

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

Branch biomass = 1.097 * exp(-2.707 + 2.949 * ln(D) - 0.940 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

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
–2.707 2.949 –0.940
Equation · Table 3, branch biomass, Level 2, 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
Tree height (m)
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
tree height (H) from 6 to 32 m
h min m · Abstract, p. 109
tree height (H) from 6 to 32 m
h max m · Abstract, p. 109
0.906 0.391 1.097 36.7
Correction factor · Table 3, branch biomass, Level 2, p. 115
linearized model (Eq. 3)
method · Methods, p. 112
Trees measured
51
DBH range
6–59 cm
Height range
6–32 m
Correction factor
1.097 (applied)
Method
Linearized regression
Where
Six sites in the Czech Republic
Last checked
2026-11-05
Calculate
Height from
99.5
Branch biomass (kg)
46.7
Carbon (kg), ×0.47
171
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 = 30, H = 2099.599.5Computed from the printed form
Computed from the printed coefficients and correction factor.

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