Tilia americana / Aboveground biomass
Canadian national equation, basswood, 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 = 0.0168 * D^1.9844 * H^0.8989 + 0.0057 * D^1.5881 * H^1.1472 + 0.0039 * D^2.0084 * H^0.8588 + 0.0147 * D^1.83D- 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 foliage 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
Basswood bwood1 0.0168
bwood2 1.9844
bwood3 0.8989
bbark1 0.0057
bbark2 1.5881
bbark3 1.1472
bbranches1 0.0039
bbranches2 2.0084
bbranches3 0.8588
bfoliage1 0.0147
bfoliage2 1.8300
bfoliage3 —
Basswood 80 26.5±1.6 17.5±0.7 326.5±36.9
(3.7;54.8) (3.8;26.1) (2.1;1118.9)
Total 0.1755 0.96 62.5 2.91 0.0021 0.97 52.6 4.12
- Trees measured
- 80
- DBH range
- 3.7–54.8 cm
- Height range
- 3.8–26.1 m
- R²
- 0.97
- 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 | 108 | 108 | Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m |
Related
- Canadian national equation, basswood, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
- NSVB American basswood, species-level (all ecodivisions): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1) · Westfall et al. 2024 · DBH + Height
- NSVB basswood spp., Warm Continental Division (210): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1) · Westfall et al. 2024 · DBH + Height
- NSVB basswood spp., species-level (all ecodivisions): total aboveground biomass (without foliage), Schumacher-Hall model (Eq. 1) · Westfall et al. 2024 · DBH + Height
- 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