Fagus grandifolia / Aboveground biomass
Canadian national equation, beech, dbh and height (sum of wood, bark, branches, foliage; Table 4)
© Douglas Goldman · CC BY-SA · iNaturalistAs printed (Eq. 3)
In this library's units, ready to compute (kg)
Aboveground biomass = 0.0432 * D^2.0378 * H^0.7 + 0.0049 * D^1.9057 * H^0.677 + 0.0355 * D^2.3749 + 0.0452 * D^1.5567D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). Height drops out of the branches, foliage 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
y bark = β bark1D βbark2Hβbark3 + e bark
y branches = β branches1D βbranches2Hβbranches3 + e branches
y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage
Beech bwood1 0.0432
bwood2 2.0378
bwood3 0.7000
bbark1 0.0049
bbark2 1.9057
bbark3 0.6770
bbranches1 0.0355
bbranches2 2.3749
bbranches3 —
bfoliage1 0.0452
bfoliage2 1.5567
bfoliage3 —
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)
Total 0.4720 0.90 115.9 2.92 0.1702 0.91 111.0 3.18
- Trees measured
- 177
- DBH range
- 1.8–46.3 cm
- Height range
- 2.9–26.5 m
- R²
- 0.91
- 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 | 187 | 187 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
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