Tree Allometrics

Equations / Stem biomass

Oak stem biomass over bark, Level 2

Stem 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 Stem biomass over bark, Level 2 row, p. 115)

Biomass component = λ × exp(p₀ + p₁ × lnD + p₂ × lnH); p₀ = −3.731, p₁ = 1.933, p₂ = 1.036, λ = 0.999

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

Stem biomass = 0.999 * exp(-3.731 + 1.933 * ln(D) + 1.036 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Stem biomass includes bark. The printed correction factor multiplies the back-transformed prediction. Stem wood and bark biomass were estimated using conventional densities. Adjusted R² is not stored as unadjusted R².

Source
–3.731 1.933 1.036
Equation · Table 3, stem biomass over bark, 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
Stem biomass over bark
Output · Table 3, p. 115
D (cm)
Units · Fig. 2, p. 111
Tree height (m)
Units · Fig. 2, p. 111
AB (kg/tree)
Units · Fig. 4, p. 114
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
0.998 0.063 0.999 5.3
Correction factor · Table 3, stem biomass over bark, Level 2, p. 115
linearized model (Eq. 3)
method · Methods, p. 112
conventional density of 580 kg/m³ for stem wood and 300 kg/m³ for bark, respectively
published.output unit · Methods, p. 111
Trees measured
51
DBH range
6–59 cm
Height range
6–32 m
Correction factor
0.999 (applied)
Method
Linearized regression
Where
Six sites in the Czech Republic
Last checked
2026-11-05
Calculate
Height from
382
Stem biomass (kg)
180
Carbon (kg), ×0.47
659
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 = 20382382Computed from the printed form
Computed from the printed coefficients and correction factor.

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