Betula alleghaniensis / Stem biomass
Canadian national equation, yellow birch, dbh and height (stem wood plus stem bark; Table 4)
© Douglas Goldman · CC BY-SA · iNaturalistAs printed (Eq. 3)
In this library's units, ready to compute (kg)
Stem biomass = 0.0259 * D^1.9044 * H^0.9715 + 0.0069 * D^2.0834 * H^0.5371D- 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. 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
Yellow birch bwood1 0.0259
bwood2 1.9044
bwood3 0.9715
bbark1 0.0069
bbark2 2.0834
bbark3 0.5371
Yellow birch 280 25.7±0.9 16.4±0.3 494.4±34.4
(0.8;70.3) (2.7;25.6) (0.1;2951.4)
Stem 4.5487 0.94 95.5 2.03 0.7738 0.95 88.6 2.44
- Trees measured
- 280
- DBH range
- 0.8–70.3 cm
- Height range
- 2.7–25.6 m
- R²
- 0.95
- Method
- Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
- Where
- Canada: Newfoundland and Labrador, Ontario, Quebec (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 | 123 | 123 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
Related
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