Abies balsamea / Aboveground biomass
Canadian national equation, balsam fir, dbh only (sum of wood, bark, branches, foliage; Table 3)
© Douglas Goldman · CC BY-SA · iNaturalistAs printed (Eq. 2)
In this library's units, ready to compute (kg)
Aboveground biomass = 0.0534 * D^2.403 + 0.0115 * D^2.3484 + 0.007 * D^2.5406 + 0.084 * D^1.6695D- 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
Balsam fir bwood1 0.0534
bwood2 2.4030
bbark1 0.0115
bbark2 2.3484
bbranches1 0.0070
bbranches2 2.5406
bfoliage1 0.0840
bfoliage2 1.6695
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
- R²
- 0.97
- 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 | 111 | 111 | Computed from the printed form computed from the published form at dbh = 20 cm |
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- Canadian national equation, alpine fir, dbh only (branches; Table 3) · same paper · Branch biomass
- Canadian national equation, alpine fir, dbh and height (branches; Table 4) · same paper · Branch biomass
- Canadian national equation, alpine fir, dbh and height (foliage; Table 4) · same paper · Foliage biomass
- Canadian national equation, alpine fir, dbh and height (stem wood plus stem bark; Table 4) · same paper · Stem biomass
- Canadian national equation, alpine fir, dbh and height (sum of wood, bark, branches, foliage; Table 4) · same paper · Aboveground biomass
- 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