Populus grandidentata / Aboveground biomass
Canadian national equation, largetooth aspen, dbh and height (sum of wood, bark, branches, foliage; Table 4)
As printed (Eq. 3)
In this library's units, ready to compute (kg)
Aboveground biomass = 0.0128 * D^2.0633 * H^0.9516 + 0.024 * D^2.3055 + 0.0131 * D^3.1274 * H^(-0.8379) + 0.0382 * D^2.1673 * H^(-0.6842)D- 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 bark 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
Largetooth aspen bwood1 0.0128
bwood2 2.0633
bwood3 0.9516
bbark1 0.0240
bbark2 2.3055
bbark3 —
bbranches1 0.0131
bbranches2 3.1274
bbranches3 –0.8379
bfoliage1 0.0382
bfoliage2 2.1673
bfoliage3 –0.6842
Largetooth aspen 100 15.8±0.7 16.9±0.6 114.8±12.2
(1.5;39.2) (2.3;28.9) (1.0;641.2)
Total 0.3645 0.96 24.1 2.35 0.0006 0.98 16.3 4.28
- Trees measured
- 100
- DBH range
- 1.5–39.2 cm
- Height range
- 2.3–28.9 m
- R²
- 0.98
- Method
- Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
- Where
- Ontario, 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 | 125 | 125 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
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