Equations / Root biomass
Quercus robur and Q. petraea, Germany, belowground biomass from DBH (Eq. 4, Tab. 1)
Root biomassQuercus (Q. robur and Q. petraea pooled) · FagaceaeGermanymixedRead from the original paper
Fitted on these 2 species: Quercus robur, Quercus petraea
Equation
As printed (Eq. 4 and Tab. 1, p. 168)
BGB = β1 · DBH^β2; Oak β1 0.040113 (0.0253-0.0548), β2 2.227842 (2.1179-2.3377), ME 0.98, RMSE 5.2
In this library's units, ready to compute (kg)
Root biomass = 0.040113 * D^2.227842D- Diameter at breast height (1.3 m), cm
Dry mass of coarse roots (2 mm and thicker) including the belowground stump; fine roots excluded. Units not printed beside Tab. 1 but BGB is reported in kg and DBH in cm throughout the paper. The paper gives model efficiency (ME) and RMSE, not R², so none is recorded.
Source
doi:10.3832/ifor2862-012 · Open access · copy we read
48 Birches, 39 Oaks and 54 Pines were sampled
DBH ranged from 7.2 up to 53.2 cm for Pine, from 7.4 to 42.0 cm for Oak and from 8.2 to 52.9 cm for Birch
- Trees measured
- 39
- DBH range
- 7.4–42 cm
- Method
- weighted (1/DBH²) nonlinear least squares power function
- Where
- 20 forest stands in Brandenburg, Saxony-Anhalt and Thuringia, Germany
- Last checked
- 2026-11-02
Calculate
6.78
Root biomass (kg)
3.19
Carbon (kg), ×0.47
11.7
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 = 10 | 6.78 | 6.78 | Computed from the printed form hand-computed from the published form |
| D = 25 | 52.2 | 52.2 | Computed from the printed form hand-computed from the published form |
| D = 40 | 149 | 149 | Computed from the printed form hand-computed from the published form |
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