Tree Allometrics

Equations / Aboveground biomass

Fagus generalised aboveground biomass, DBH (Eq. 9)

Aboveground biomassFagusGlobalRead from the original paperPeer-reviewed source

Fitted on these 3 species: Fagus grandifolia, Fagus sylvatica, Fagus moesiaca

3 of the 3 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Eq. 9, p. 443)

lnMT = 2.45(0.055)lnD – 2.004(0.168) (9)

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

Aboveground biomass = exp(-2.004 + 2.45 * ln(D) + 0.1876^2 / 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 authors used seven source equations, including their Greek fit. 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 1–66 cm bounds are the domain explicitly reported in Table V for the generalized total equation, not extrema inferred from synthetic class means. Table V's 0.1348 D^2.4500 is the rounded, uncorrected power form of Eq. 9; this record applies the methods' back-transform correction.

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
Fagus moesiaca Cz.
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
0.987
R² · Eq. 9, p. 443
0.1876
Residual standard error · Eq. 9, p. 443
USA, Maine
Where · Table II, p. 442
EU, Netherlands Centre
Where · Table II, p. 442
1–66
Smallest DBH · Table V, Total row, D range (cm), p. 446
1–66
Largest DBH · Table V, Total row, D range (cm), p. 446
DBH range
1–66 cm
R²
0.987
Residual SE
0.1876
Method
log-log regression on predictions from published equations
Where
Europe and eastern North America (source equations)
Last checked
2026-11-05
Calculate
211
Aboveground biomass (kg)
99.3
Carbon (kg), ×0.47
364
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 = 20211211Computed from the printed form
Computed from the printed log-model coefficients and SEE²/2 correction.

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