Tree Allometrics

Equations / Total biomass

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

Total 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))

Total -8.758 0.795 0.978

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

Total biomass = -8.758 * D + 0.795 * 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. Includes root. Predicts negative biomass below about 12 cm DBH (authors' remark), so the authors prefer the power form. Total biomass includes roots (available for 21 trees); n and ranges for this equation are not printed, so they are omitted.

Calculate
47.51
Total biomass (kg)
22.33
Carbon (kg), ×0.47
81.87
CO₂e (kg), ×44/12
02004006008001,000510152025303540DBH (cm)Total biomass (kg)Total 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 = 1547.547.5Computed from the printed form
computed from the Table 10 coefficients
D = 30452.8452.8Computed from the printed form
computed from the Table 10 coefficients

Report a problem with this equation · JSON

Related

Compare these curves