Equations / Stem biomass

Fagus sylvatica stem with bark biomass (Table 2)

Stem biomassFagus sylvatica · FagaceaeSpainmixedRead from the original paper

Equation

As printed (Table 2, Fagus sylvatica, Stem row)

Ws = 0.0676 · d² + 0.0182 · d² · h

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

Stem biomass = 0.0676 * D^2 + 0.0182 * D^2 * H

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

Stem with bark (commercial volume, up to a top diameter of 7 cm); fitted jointly with the branch equations by SUR to keep components additive. Stand type is not stated per species in the paper. Branch equations for this species are not added.

Source

Ruiz-Peinado, R., Montero, G., & del Rio, M. (2012). Biomass models to estimate carbon stocks for hardwood tree species. Forest Systems, 21(1), 42-52.

doi:10.5424/fs/2112211-02193 · Open access · copy we read

Fagus sylvatica ... 72

Trees measured · Table 1, Fagus sylvatica row, aboveground biomass n column

Fagus sylvatica 9.5 74.8

Smallest DBH · Table 1, diameter min/max (all sample trees of the species)

Trees measured: 72
DBH range: 9.5–74.8 cm
Height range: 9–30.9 m
Method: seemingly unrelated regression with weighting
Where: Spain (sample zones per species, Figure 1)
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

99.84

Stem biomass (kg)

46.92

Carbon (kg), ×0.47

172.1

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 = 20, H = 10	99.8	99.8	Computed from the printed form computed from the Table 2 coefficients
D = 35, H = 15	417.2	417.2	Computed from the printed form computed from the Table 2 coefficients

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Compare these curves

Fagus sylvatica stem with bark biomass (Table 2)

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