Equations / Aboveground biomass
European general equation, Populus, aboveground, diameter only (Eq. 3)
Aboveground biomassPopulus · SalicaceaeEurope (latitude min/mean/max 44.5 / 57.4 / 61 °N)mixedRead from the original paper
Covers the whole genus
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 = 1.123002 * exp(-2.311 + 2.3538 * 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 (1.123002) multiplies the back-transformed prediction and is applied in both forms. N = 198 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
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)
Populus | Aboveground | 3 | -2.311 | 2.3538 | CF 1.12300232063444 | N 198
d range (cm) 0.1 / … / 44.7 (min / mean / max)
- DBH range
- 0.1–44.7 cm
- R²
- 0.991
- Correction factor
- 1.123002 (applied)
- Method
- Mixed-effects regression of ln(Y) on ln(d) (source as random effect) on 198 pseudo-observations generated from published equations plus raw data; Snowdon ratio CF
- Where
- Europe (latitude min/mean/max 44.5 / 57.4 / 61 °N)
- Last checked
- 2026-11-01
Calculate
334
Aboveground biomass (kg)
157
Carbon (kg), ×0.47
575
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 | 334 | 334 | Computed from the printed form computed from the published form (with CF) at d = 30 cm |
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