Tree Allometrics

Notholithocarpus densiflorus / Root biomass

Tanoak root biomass from basal area (best AICc model, Table 2)

Root biomassNotholithocarpus densiflorus · FagaceaeUnited StatesmixedRead from the original paper
Photo of Notholithocarpus densiflorus
© Skyler K · CC BY · iNaturalist
Equation

As printed (Table 2, last row (lowest AICc))

ln (Belowground biomass) = 6.683 + 0.8149( ln BA )

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

Root biomass = exp(6.683 + 0.8149 * ln(0.000078539816 * D^2))
D
Diameter at breast height (1.3 m), cm

The paper's predictor is total stem basal area BA (m2, summed over all stems of a multi-stemmed tanoak). Here BA is written as pi/4 * (DBH/100)^2, so D is the dbh of a single stem; for multi-stemmed trees use the summed basal area instead. Output is belowground biomass excluding stump, in kg. r2 is the adjusted R2 as printed. The paper does not state a back-transformation correction factor, so none is applied. Other candidate models (with crown position, SDI, height) and the root:shoot models (arcsine transform, coefficients not legible in the text layer) were not added.

Source
n = 12 trees
Trees measured · Table 2 caption
the dbh of individual stems were between 1.9 cm and 52.4 cm
Smallest DBH · Results, p. 53
Tree heights ranged from 2.7 m to 21.1 m
h min m · Results, p. 53
0.9425
R² · Table 2, R2 adj. of the best-AICc model
Trees measured
12
DBH range
1.9–52.4 cm
Height range
2.7–21.1 m
R²
0.9425
Method
linear mixed model on ln scale (block random effect), excavated root systems
Where
L.W. Schatz Demonstration Tree Farm, Humboldt County, California
Last checked
2026-11-02
Calculate
97.8
Root biomass (kg)
46
Carbon (kg), ×0.47
168
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350102030405060DBH (cm)Root biomass (kg)Root 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 = 31.19897.8Value printed in the paper
Results, p. 53: tanoak with average tree BA of 0.076 m2 (single-stemmed dbh 31.1 cm) expected to store 98 kg belowground (rounded in paper)
D = 1529.829.8Computed from the printed form
computed from the published form (coefficients as printed)
D = 45179179Computed from the printed form
computed from the published form (coefficients as printed)

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