Equations / Aboveground biomass

European general equation, Fagus sylvatica, aboveground, diameter only (Eq. 3)

Aboveground biomassFagus sylvatica · FagaceaeEurope (latitude min/mean/max 42.3 / 49.6 / 56 °N)mixedRead from the original paper

Equation

As printed (Eq. 3, revised manuscript l. 322)

ln(Y) = lnβ0 + β1ln(d) + ε (3)

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

Aboveground biomass = 0.996924 * exp(-1.6594 + 2.3589 * ln(D))

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

Y in kg per tree, d in cm at 1.3 m (manuscript l. 316). Printed intercept is ln(β0). CF (0.996924) multiplies the back-transformed prediction and is applied in both forms. N = 330 is the number of pseudo-observations plus raw observations, not trees. The same worksheet also gives versions with age, basal area, stand density and climate terms (Eqs. 4–21).

Source

Forrester, D.I., Tachauer, I.H.H., Annighoefer, P., Barbeito, I., Pretzsch, H., Ruiz-Peinado, R., Stark, H., Vacchiano, G., Zlatanov, T., Chakraborty, T., Saha, S., Sileshi, G.W. (2017). Generalized biomass and leaf area allometric equations for European tree species incorporating stand structure, tree age and climate. Forest Ecology and Management, 396, 160–175.

doi:10.1016/j.foreco.2017.04.011 · Paywalled · copy we read

a correction factor (CF) was calculated from the mean of the pseudo-observations divided by the mean of the values predicted by the regional equation (Snowden, 1991)

Correction factor · Methods, revised manuscript ll. 343–346

Fagus sylvatica | Aboveground | 3 | -1.6594 | 2.3589 | CF 0.996923865219428 | N 330

Equation · Appendix A, worksheet Table A.5, row 306

d range (cm) 1 / … / 84 (min / mean / max)

Smallest DBH · Appendix A, Table A.5, row 306, column AU

DBH range: 1–84 cm
R²: 0.981
Correction factor: 0.996924 (applied)
Method: Mixed-effects regression of ln(Y) on ln(d) (source as random effect) on 330 pseudo-observations generated from published equations plus raw data; Snowdon ratio CF
Where: Europe (latitude min/mean/max 42.3 / 49.6 / 56 °N)
Last checked: 2026-11-01

Calculate

DBH (cm)

578.6

Aboveground biomass (kg)

271.9

Carbon (kg), ×0.47

997.1

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 = 30	578.6	578.6	Computed from the printed form computed from the published form (with CF) at d = 30 cm

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European general equation, Fagus sylvatica, aboveground, diameter only (Eq. 3)

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