Equations / Branch biomass

Cryptomeria japonica Branch from DBH (Table 3)

Branch biomassCryptomeria japonica · CupressaceaeSouth KoreaplantationRead from the original paper

Equation

As printed (Materials and Methods, Data analysis)

Y = exp [a + b*ln(X)]

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

Branch biomass = 1.003 * exp(-3.34 + 1.93 * ln(D))

D: Diameter at breast height (1.3 m), cm

Y = CF * exp[a + b*ln(X)], Y in kg, X = DBH in cm; the Sprugel correction factor CF = exp(SEE^2/2) from Table 3 is applied (text: Sprugel correction factors were used to correct the bias). Table 3 prints no n per equation; n = 18 harvested sample trees (roots of all 18 reported in Table 2). Single 40-year-old stand.

Source

Jung, S.C., Lumbres, R.I.C., Won, H.K., Seo, Y.O. (2014). Allometric equations, stem density and biomass expansion factors for Cryptomeria japonica in Mount Halla, Jeju Island, Korea. Journal of Ecology and Environment, 37(4), 177-184.

doi:10.5141/ecoenv.2014.021 · Open access · copy we read

Branch -3.340 1.930 0.294 0.714 1.003

Equation · Table 3 (columns a, b, RMSE, R2, CF)

A total of 18 representative sample trees were selected based on their DBH class.

Trees measured · Data collection

DBH (cm) 20 (13-28)

Smallest DBH · Table 1

Trees measured: 18
DBH range: 13–28 cm
Height range: 9–14 m
R²: 0.714
Correction factor: 1.003 (applied)
Method: log-log regression with Sprugel correction factor (SAS 9.1)
Where: Hannam experimental forest, Mount Halla, Jeju Island, South Korea
Last checked: 2026-11-02

Calculate

DBH (cm)

6.616

Branch biomass (kg)

3.11

Carbon (kg), ×0.47

11.4

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 15	6.62	6.62	Computed from the printed form computed from the Table 3 coefficients and CF
D = 25	17.7	17.7	Computed from the printed form computed from the Table 3 coefficients and CF

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Cryptomeria japonica Generalized branch (log10, Table 4) · Gwon et al. 2014 · DBH
Cryptomeria japonica Aboveground from DBH (Table 3) · same paper · Aboveground biomass
Cryptomeria japonica Needle (foliage) from DBH (Table 3) · same paper · Foliage biomass
Cryptomeria japonica Root from DBH (Table 3) · same paper · Root biomass
Cryptomeria japonica Stem (wood + bark) from DBH (Table 3) · same paper · Stem biomass
Cryptomeria japonica Total (above + below) from DBH (Table 3) · same paper · Total biomass

Compare these curves

Cryptomeria japonica Branch from DBH (Table 3)

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