Fraxinus americana / Aboveground biomass
Canadian national equation, white ash, dbh only (sum of wood, bark, branches, foliage; Table 3)
As printed (Eq. 2)
In this library's units, ready to compute (kg)
Aboveground biomass = 0.1861 * D^2.1665 + 0.0406 * D^1.9946 + 0.0461 * D^2.2291 + 0.1106 * D^1.2277D- Diameter at breast height (1.3 m), cm
Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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 βbark2 + e bark
y branches = β branches1D βbranches2 + e branches
y foliage = β foliage1D βfoliage2 + efoliage
White ash bwood1 0.1861
bwood2 2.1665
bbark1 0.0406
bbark2 1.9946
bbranches1 0.0461
bbranches2 2.2291
bfoliage1 0.1106
bfoliage2 1.2277
White ash 109 22.3±1.1 17.6±0.4 296.2±28.5
(2.4;53.7) (3.9;26.9) (1.2;1850.1)
Total 0.0363 0.91 91.0 3.62 0.0491 0.93 78.5 3.38
- Trees measured
- 109
- DBH range
- 2.4–53.7 cm
- 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 | 180 | 180 | Computed from the printed form computed from the published form at dbh = 20 cm |
Related
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