Tilia americana / Stem biomass

Canadian national equation, basswood, dbh and height (stem wood plus stem bark; Table 4)

Stem biomassTilia americana · MalvaceaeCanadaRead from the original paper

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

In this library's units, ready to compute (kg)

Stem biomass = 0.0168 * D^1.9844 * H^0.8989 + 0.0057 * D^1.5881 * H^1.1472

D: 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.

Source

Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.

doi:10.1139/x05-112 · Paywalled · copy we read

y bark = β bark1D βbark2Hβbark3 + e bark

Equation · Eq. 3

Basswood bwood1 0.0168

Equation · Table 4, Basswood

bwood2 1.9844

Equation · Table 4, Basswood

bwood3 0.8989

Equation · Table 4, Basswood

bbark1 0.0057

Equation · Table 4, Basswood

bbark2 1.5881

Equation · Table 4, Basswood

bbark3 1.1472

Equation · Table 4, Basswood

Basswood 80 26.5±1.6 17.5±0.7 326.5±36.9

Trees measured · Table 2 (No. of trees)

(3.7;54.8) (3.8;26.1) (2.1;1118.9)

Smallest DBH · Table 2, Basswood (ranges of dbh, height, total biomass)

Stem 0.0539 0.96 53.9 3.04 0.0002 0.97 44.1 4.68

R² · Table 5, Basswood (AdjRSq in the dbh- and height-based set, second block)

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

Calculate

DBH (cm)Height (m)

Height from

Stem biomass (kg)

41.4

Carbon (kg), ×0.47

152

CO₂e (kg), ×44/12

Shaded: the DBH range the model was fitted on. Other inputs held at the values above.

Checks this equation passes

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	88	88	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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Canadian national equation, basswood, dbh only (stem wood plus stem bark; Table 3) · Lambert et al. 2005 · DBH
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

Compare these curves

Canadian national equation, basswood, dbh and height (stem wood plus stem bark; Table 4)

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