Tree Allometrics

Equations / Aboveground biomass, without leaves

Oak aboveground biomass without foliage or dead branches, Level 3

Aboveground biomass, without leavesQuercus (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 Lanžhot trees than Table 1 lists. Confirm the height limits before treating them as firm applicability bounds. Crown width is in metres, but its measurement protocol is unspecified; check that your crown-diameter measurements are comparable.

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 Aboveground biomass, Level 3 row, p. 115)

Biomass component = λ × exp(p₀ + p₁ × lnD + p₂ × lnH + p₄ × lnCW); p₀ = −2.944, p₁ = 1.935, p₂ = 0.738, p₄ = 0.193, λ = 0.994

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

Aboveground biomass, without leaves = 0.994 * exp(-2.944 + 1.935 * ln(D) + 0.738 * ln(H) + 0.193 * ln(CD))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m
CD
Crown diameter, m

The paper's crown width CW is mapped to canonical crown diameter CD. The printed correction factor multiplies the back-transformed prediction. Aboveground biomass comprises stem over bark and living branches; it excludes foliage and dead branches. Level 3 is the authors' best combination of the available predictors; they recommend a single aboveground equation over summing components. Adjusted R² is not stored as unadjusted R².

Source
–2.944 1.935 0.738 0.193
Equation · Table 3, aboveground biomass, Level 3, p. 115
Biomass component = λ × exp(p0 + p1 × lnD
Equation · Table 3 formula, p. 115
correction factor (λ)
Equation · Table 3 caption, p. 115
sum of stem-wood over bark and living branches.
Output · Methods, p. 111
no leaf biomass
output.excludes · Methods, p. 111
D (cm)
Units · Fig. 2, p. 111
Tree height (m)
Units · Fig. 2, p. 111
Crown width (m)
Units · Fig. 4, p. 114 (rendered page)
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
0.997 0.076 0.994 6.0
Correction factor · Table 3, aboveground biomass, Level 3, p. 115
step-wise regression procedure
method · Methods, p. 112
Trees measured
51
DBH range
6–59 cm
Height range
6–32 m
Correction factor
0.994 (applied)
Method
Stepwise linearized regression
Where
Six sites in the Czech Republic
Last checked
2026-11-05
Calculate
Height from
487
Aboveground biomass, without leaves (kg)
229
Carbon (kg), ×0.47
839
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 = 20, CD = 6487487Computed from the printed form
Computed from the printed coefficients and correction factor.

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