Tree Allometrics

Equations / Aboveground biomass

Black cottonwood total aboveground biomass from DBH and height (Table 4)

Aboveground biomassPopulus trichocarpa · SalicaceaeUnited StatesmixedRead from the original paper
Photo of Populus trichocarpa
© Tom Brandt · CC BY-SA · iNaturalist
Equation

As printed (Table 4, species row and table note)

Black cottonwood a, b, c, d, CF: −3.8009 1.63 1.3354 CF 1.0000; model form exp(a + bX1 + cX2)

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

Aboveground biomass = exp(-3.8009 + 1.63 * ln(D) + 1.3354 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

AGB is total aboveground live-tree biomass (stem, bark, branches, foliage). X1 = ln(DBH), X2 = ln(HT), DBH in cm and HT in m. Species identified from the common name in Table 4 (scientific name added from the standard species symbol). Stand type is not stated. Observed ranges in Table 1 cover all trees of the species used.

Source
Black cottonwood ... n 19
Trees measured · Table 1
Black cottonwood DBH min 7.4 max 30.6; HT min 6.9 max 23.5
Smallest DBH · Table 1
Trees measured
19
DBH range
7.4–30.6 cm
Height range
6.9–23.5 m
Method
nonlinear regression, response not log-transformed (CF = 1.0000)
Where
Western U.S.A., legacy destructive-sampling biomass collection (Radtke et al. 2015)
Last checked
2026-11-02
Calculate
Height from
109.8
Aboveground biomass (kg)
51.6
Carbon (kg), ×0.47
189.2
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350510152025303540DBH (cm)Aboveground biomass (kg)Aboveground biomass

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%.

InputsExpectedWe getFrom
D = 20, H = 15109.8109.8Computed from the printed form
computed from the Table 4 coefficients
D = 40, H = 25672.1672.1Computed from the printed form
computed from the Table 4 coefficients

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