Tree Allometrics

Fagus sylvatica / Branch biomass

Branch biomass from diameter and height (Table III)

Branch biomassFagus sylvaticaNetherlandsRead from the original paperPeer-reviewed source
Photo of Fagus sylvatica
© Rebecca Gimenez Husted · CC BY · iNaturalist
Equation

As printed (Table III, model below table and Branches row, p. 43 (rendered page-06).)

Y = c₁*dbh^c₂*h^c₃; c₁ = 0.0114, c₂ = 3.682, c₃ = −1.031

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

Branch biomass = 0.0114 * D^3.682 * H^(-1.031)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

DBH is measured at 1.30 m; h is measured tree height. The author reports that adding height increased R² and cautions against extrapolation, particularly for leaf and branch fits. R² is adjusted for degrees of freedom.

Source
Branches 0.0114 0.0117 3.682 0.373 −1.031 0.568 0.920
Equation · Table III, p. 43 (rendered page)
The models are of the form Y = c₁*dbhᶜ²*hᶜ³.
Equation · Table III, p. 43 (rendered page)
branch biomass
Output · Results, p. 43
Nonlinear models between tree biomass amounts or leaf area (Y: in kg or m²) and dbh (in cm) and tree height (h: in m).
Units · Table III, p. 43 (rendered page)
The number of observations is 38.
Trees measured · Table III, p. 43 (rendered page)
Branches 0.0114 0.0117 3.682 0.373 −1.031 0.568 0.920
R² · Table III, p. 43 (rendered page)
In the case of nonlinear regression analysis the model was fitted directly by nonlinear least squares.
method · Data analysis, p. 42
beech (Fagus sylvatica L)
Taxon · Title, p. 39
centre of the Netherlands.
Where · Data collection, p. 40
Trees measured
38
R²
0.92
Method
nonlinear least squares
Where
Forest area in the centre of the Netherlands
Last checked
2026-11-05
Calculate
Height from
16.1
Branch biomass (kg)
7.55
Carbon (kg), ×0.47
27.7
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 = 15, H = 1416.116.1Computed from the printed form
Computed from Table III.

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