Populus grandidentata / Stem biomass
Canadian national equation, largetooth aspen, dbh and height (stem wood plus stem bark; Table 4)
As printed (Eq. 3)
In this library's units, ready to compute (kg)
Stem biomass = 0.0128 * D^2.0633 * H^0.9516 + 0.024 * D^2.3055D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. 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
Largetooth aspen bwood1 0.0128
bwood2 2.0633
bwood3 0.9516
bbark1 0.0240
bbark2 2.3055
bbark3 —
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)
Stem 0.4481 0.94 25.7 2.29 0.0011 0.98 14.7 3.94
- 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 | 105 | 105 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
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