Tree Allometrics

Fagus sylvatica / Branch biomass

Branch biomass from diameter (Table II)

Branch biomassFagus sylvaticaNetherlandsRead from the original paperPeer-reviewed sourceNot fully checked

Not fully checked: Table II marks the intercept as not significant but does not print its estimate. This prediction omits it; confirm that the author intended a zero-intercept prediction before use.

Photo of Fagus sylvatica
© Rebecca Gimenez Husted · CC BY · iNaturalist
Equation

As printed (Table II, model and asterisk explanation below table; Branches row, p. 43 (rendered page-06).)

Y = c₀ + c₁*dbh^c₂; c₀ = *, c₁ = 0.0020, c₂ = 3.265; *Intercept not significant.

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

Branch biomass = 0.0020 * D^3.265
D
Diameter at breast height (1.3 m), cm

DBH is measured at 1.30 m. The reported R² is adjusted for degrees of freedom. The author cautions against extrapolation because the two largest trees influenced the leaf and branch fits.

Source
Branches * 0.0020 0.0016 3.265 0.236 0.916
Equation · Table II, p. 43 (rendered page)
The models are of the form Y = c₀ + c₁*dbhᶜ².
Equation · Table II, p. 43 (rendered page)
*Intercept not significant.
Equation · Table II, 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).
Units · Table II, p. 43 (rendered page)
The number of observations is 38.
Trees measured · Table II, p. 43 (rendered page)
Branches * 0.0020 0.0016 3.265 0.236 0.916
R² · Table II, 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
0.916
Method
nonlinear least squares
Where
Forest area in the centre of the Netherlands
Last checked
2026-11-05
Calculate
13.8
Branch biomass (kg)
6.5
Carbon (kg), ×0.47
23.8
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 = 1513.813.8Computed from the printed form
Computed from Table II with the unprinted intercept omitted; diameter is within the plotted sample.

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