Fagus grandifolia / Branch biomass
Canadian national equation, beech, dbh and height (branches; Table 4)
© Douglas Goldman · CC BY-SA · iNaturalistAs printed (Eq. 3)
In this library's units, ready to compute (kg)
Branch biomass = 0.0355 * D^2.3749D- Diameter at breast height (1.3 m), cm
All branches, cut at the stem base (live branches; dead branches excluded). Height drops out of the branches term: the paper leaves its height exponent blank (—, not significantly different from zero). r2 is the adjusted R² (AdjRSq) of this compartment in Table 5. Fitted on the original scale (weighted nonlinear seemingly unrelated regression), so there is no back-transform correction. Dead branches, cones and fruits are not part of aboveground biomass in this work (Materials). Stand type was not always recorded. Ung, Bernier & Guo (2008) later revised parameters for some species with British Columbia data; not used here.
doi:10.1139/x05-112 · Paywalled · copy we read
bbranches1 0.0355
bbranches2 2.3749
bbranches3 —
Beech 177 23.5±0.9 17.5±0.4 405.4±27.3
(1.8;46.3) (2.9;26.5) (0.7;1372.5)
Branches 0.0041 0.73 49.4 3.90 0.0116 0.73 49.4 3.57
- Trees measured
- 177
- DBH range
- 1.8–46.3 cm
- Height range
- 2.9–26.5 m
- R²
- 0.73
- Method
- Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
- Where
- Ontario and Quebec, Canada (ENFOR archival data, early 1980s)
- Last checked
- 2026-11-03
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
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 = 20, H = 15 | 43.7 | 43.7 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
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