Fagus sylvatica / Stem biomass

Stem biomass from diameter and height (Table III)

Stem biomassFagus sylvaticaNetherlandsRead from the original paperPeer-reviewed source

Equation

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

Y = c₁*dbh^c₂*h^c₃; c₁ = 0.0109, c₂ = 1.951, c₃ = 1.262

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

Stem biomass = 0.0109 * D^1.951 * H^1.262

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. Stem dry mass was estimated from stem volume using a basic density of 550 kg/m³. The author reports that adding height increased R². R² is adjusted for degrees of freedom.

Source

Bartelink, H. H. (1997). Allometric relationships for biomass and leaf area of beech (Fagus sylvatica L). Annales des Sciences Forestières, 54(1), 39–50.

doi:10.1051/forest:19970104 · Peer-reviewed · Open access · copy we read

Stem 0.0109 0.0028 1.951 0.060 1.262 0.117 0.996

Equation · Table III, p. 43 (rendered page)

The models are of the form Y = c₁*dbhᶜ²*hᶜ³.

Equation · Table III, p. 43 (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) 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)

Stem 0.0109 0.0028 1.951 0.060 1.262 0.117 0.996

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: 0.996
Method: nonlinear least squares
Where: Forest area in the centre of the Netherlands
Last checked: 2026-11-05

Calculate

DBH (cm)Height (m)

Height from

Stem biomass (kg)

28.2

Carbon (kg), ×0.47

103

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%.

Inputs	Expected	We get	From
D = 15, H = 14	60	60	Computed from the printed form Computed from Table III.

Report a problem with this equation · JSON

Stem biomass from diameter (Table II) · Bartelink 1997 · DBH
Beech on dry sites, stem with bark dry biomass from DBH (Table 3) · Chakraborty et al. 2016 · DBH
Beech saplings on dry sites, stem with bark dry biomass from root-collar diameter (Table 2) · Chakraborty et al. 2016 · Root collar diameter
Canadian national equation, beech, dbh and height (stem wood plus stem bark; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, beech, dbh only (stem wood plus stem bark; Table 3) · Lambert et al. 2005 · DBH
Fagus sylvatica stem with bark biomass (Table 2) · Ruiz-Peinado et al. 2012 · DBH + Height
Fagus moesiaca stump dry biomass from diameter at 30 cm (Fig. 1) · Zianis & Mencuccini 2003 · D30
Fagus moesiaca stem dry biomass within the crown, DBH (Table III lnMCS) · Zianis & Mencuccini 2003 · DBH
Tree height from diameter (Eq. 1a) · same paper · Height
Branch biomass from diameter (Table II) · same paper · Branch biomass
Leaf biomass from diameter (Table II) · same paper · Foliage biomass
Stem biomass from diameter (Table II) · same paper · Stem biomass
Aboveground biomass from diameter (Table II) · same paper · Aboveground biomass
Branch biomass from diameter and height (Table III) · same paper · Branch biomass
Leaf biomass from diameter and height (Table III) · same paper · Foliage biomass
Aboveground biomass from diameter and height (Table III) · same paper · Aboveground biomass

Compare these curves

Stem biomass from diameter and height (Table III)

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