Abies balsamea / Aboveground biomass
Canadian national equation, balsam fir, 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 = 0.0294 * D^1.8357 * H^0.864 + 0.0053 * D^2.0876 * H^0.5842 + 0.0117 * D^3.5097 * H^(-1.3006) + 0.1245 * D^2.523 * H^(-1.123)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). 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
Balsam fir bwood1 0.0294
bwood2 1.8357
bwood3 0.8640
bbark1 0.0053
bbark2 2.0876
bbark3 0.5842
bbranches1 0.0117
bbranches2 3.5097
bbranches3 –1.3006
bfoliage1 0.1245
bfoliage2 2.5230
bfoliage3 –1.1230
Balsam fir 639 16.4±0.4 12.2±0.2 103.4±4.7
(1.5;42.4) (1.6;52.2) (0.5;649.0)
Total 0.0047 0.97 20.1 3.63 0.0073 0.98 17.6 3.38
- Trees measured
- 639
- DBH range
- 1.5–42.4 cm
- Height range
- 1.6–52.2 m
- R²
- 0.98
- Method
- Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
- Where
- Canada: Alberta, Manitoba, Newfoundland and Labrador, Nova Scotia, Ontario, Quebec, Saskatchewan (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 | 112 | 112 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
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- Canadian national equation, alpine fir, dbh only (foliage; Table 3) · same paper · Foliage biomass
- Canadian national equation, alpine fir, dbh only (stem wood plus stem bark; Table 3) · same paper · Stem biomass
- Canadian national equation, alpine fir, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass