Tree Allometrics

Picea engelmannii / Aboveground biomass

Engelmann spruce total aboveground biomass from DBH and height (Table 4)

Aboveground biomassPicea engelmannii · PinaceaeUnited StatesmixedRead from the original paper
Photo of Picea engelmannii
© Sam Beaumont · CC BY · iNaturalist
Equation

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

Engelmann spruce a, b, c, d, CF: −2.6483 1.4762 1.1357 CF 1.0000; model form exp(a + bX1 + cX2)

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

Aboveground biomass = exp(-2.6483 + 1.4762 * ln(D) + 1.1357 * 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
Engelmann spruce ... n 74
Trees measured · Table 1
Engelmann spruce DBH min 0.7 max 57.6; HT min 1.5 max 40.8
Smallest DBH · Table 1
Trees measured
74
DBH range
0.7–57.6 cm
Height range
1.5–40.8 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
128
Aboveground biomass (kg)
60
Carbon (kg), ×0.47
220
CO₂e (kg), ×44/12
Fitted DBH range0100200300400510152025303540DBH (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 = 15128128Computed from the printed form
computed from the Table 4 coefficients
D = 40, H = 25635635Computed from the printed form
computed from the Table 4 coefficients

Report a problem with this equation · JSON

Related

Compare these curves