Tree Allometrics

Equations / Root biomass

Liriodendron tulipifera Root W = aD + bD^2 (Table 10)

Root biomassLiriodendron tulipifera · MagnoliaceaeSouth KoreaplantationRead from the original paper
Photo of Liriodendron tulipifera
© Nicholas A. Tonelli · CC BY · iNaturalist
Equation

As printed (Table 10 (W=aD+bD^2))

Root -1.943 0.155 0.919

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

Root biomass = -1.943 * D + 0.155 * D^2
D
Diameter at breast height (1.3 m), cm

W = dry weight in kg (Table 7 in kg), D = DBH in cm. The paper prints no correction factor, so none is applied. Predicts negative biomass below about 12 cm DBH (authors' remark), so the authors prefer the power form. Only 21 of the 40 trees were excavated for roots; the paper does not state n or the DBH/height range for this equation, so they are omitted.

Calculate
5.73
Root biomass (kg)
2.693
Carbon (kg), ×0.47
9.875
CO₂e (kg), ×44/12
050100150200510152025303540DBH (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 = 155.735.73Computed from the printed form
computed from the Table 10 coefficients
D = 3081.281.2Computed from the printed form
computed from the Table 10 coefficients

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