Tree Allometrics

Fagus sylvatica / Stem biomass

Stem biomass from diameter (Table II)

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

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

Y = c₀ + c₁*dbh^c₂; c₀ = *, c₁ = 0.0762, c₂ = 2.523; *Intercept not significant.

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

Stem biomass = 0.0762 * D^2.523
D
Diameter at breast height (1.3 m), cm

DBH is measured at 1.30 m. The nonsignificant intercept is omitted, consistent with the stem function used below Eq. 10. Stem dry mass was estimated from stem volume using a basic density of 550 kg/m³. R² is adjusted for degrees of freedom.

Source
Stem * 0.0762 0.0224 2.523 0.088 0.979
Equation · Table II, p. 43 (rendered page)
*Intercept not significant.
Equation · Table II, p. 43 (rendered page)
k₂ = 0.0762*k²·⁵²³
Equation · Below Eq. 10, p. 48 (rendered page)
wood basic density of 550 kg dry weight per m3
Output · Data collection, p. 41
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)
Stem * 0.0762 0.0224 2.523 0.088 0.979
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
0.979
Method
nonlinear least squares
Where
Forest area in the centre of the Netherlands
Last checked
2026-11-05
Calculate
70.7
Stem biomass (kg)
33.2
Carbon (kg), ×0.47
122
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 = 1570.770.7Computed from the printed form
Computed from Table II; diameter is within the plotted sample.

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