Tree Allometrics

Equations / Aboveground biomass

Fagus generalised aboveground biomass, DBH (Eq. 10)

Aboveground biomassFagusGlobalRead from the original paperPeer-reviewed source

Fitted on these 2 species: Fagus grandifolia, Fagus sylvatica

2 of the 2 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Eq. 10, p. 444)

lnMT = 2.456(0.05)lnD – 2.073(0.156) (10)

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

Aboveground biomass = exp(-2.073 + 2.456 * ln(D) + 0.1551^2 / 2)
D
Diameter at breast height (1.3 m), cm

D is DBH in cm; output is kg dry biomass. The fitted inputs are synthetic class-mean predictions. The Greek and Spanish source equations were excluded so their raw trees could be used for validation. The printed SEE is squared and divided by 2 inside the exponent as specified in the methods; no separately printed multiplicative CF is stored. The fitted synthetic-D range is not stated.

Source
equations for aboveground biomass (MT)
Output · Figure 2 caption, p. 444
for Fagus genus.
Taxon · Introduction, p. 440
Fagus grandifolia
taxon.members · Table II, p. 442
Fagus sylvatica L.
taxon.members · Table II, p. 442
Biomass is expressed in kg, diameter in cm, and height in m.
Units · Table III note, p. 442
were log-transformed and a generalised equation
method · Section 2.4, p. 441
where CF = SEE2/2 is the correction factor
method · Section 2.3, p. 441
0.992
R² · Eq. 10, p. 444
0.1551
Residual standard error · Eq. 10, p. 444
USA, Maine
Where · Table II, p. 442
EU, Netherlands Centre
Where · Table II, p. 442
R²
0.992
Residual SE
0.1551
Method
log-log regression on predictions from published equations
Where
Europe and eastern North America (source equations)
Last checked
2026-11-05
Calculate
200
Aboveground biomass (kg)
93.8
Carbon (kg), ×0.47
344
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 = 20200200Computed from the printed form
Computed from the printed log-model coefficients and SEE²/2 correction.

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