Tree Allometrics

Equations / Foliage biomass

Sugar maple leaf biomass from DBH, unmanaged stand

Foliage biomassAcer saccharum · SapindaceaeCanadanaturalRead from the original paper
Photo of Acer saccharum
Kent P. McFarland · CC0 · iNaturalist
Equation

As printed (Fig. 2 caption (log form))

ln(LT) = -6.487 + 2.447*ln(DBH)

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

Foliage biomass = 0.00157 * D^2.447
D
Diameter at breast height (1.3 m), cm

Output is total leaf biomass only (oven-dried leaves, kg), not petioles or seeds. Table 3 coefficients are the back-transformed form with the bias correction already in the intercept. Hosts: sugar bushes slightly ice-damaged (<5%) in 2000. The 'managed' stand is a sap-production sugar bush, set as natural stand type (not planted); the paper does not give stand origin. R2 is the log-scale value printed in Table 3 and the Fig. 2 caption.

Source
LT = 0.00157*DBH^2.447
Equation · Table 3, back-transformed equation, DBH only (text layer of the PDF is garbled; coefficients cross-checked against the Fig. 2 caption)
Twelve trees were sampled from an unmanaged stand north of Madoc and 10 from a managed stand near Newburg
Trees measured · Data sampling
Trees measured
12
DBH range
21.3–58.5 cm
Height range
18–27.4 m
R²
0.923
Method
log-linear regression, back-transformed by adding half the squared SEE to the intercept (Baskerville 1972)
Where
unmanaged stand north of Madoc, eastern Ontario
Last checked
2026-11-02
Calculate
4.137
Foliage biomass (kg)
1.944
Carbon (kg), ×0.47
7.129
CO₂e (kg), ×44/12
Fitted DBH range05101520251020304050DBH (cm)Foliage biomass (kg)Foliage 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 = 254.144.14Computed from the printed form
hand-computed from the published form
D = 4013.113.1Computed from the printed form
hand-computed from the published form
D = 6035.235.2Computed from the printed form
hand-computed from the published form

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