Tree Allometrics

Equations / Height

Coriaria arborea, NZ, height from RCD (Table 3)

HeightCoriaria arborea · CoriariaceaeNew ZealandplantationRead from the original paper
Photo of Coriaria arborea
© Jon Sullivan · CC BY · iNaturalist
Equation

As printed (Table 3, Height, Coriaria arborea)

y = 0.38ln(x)

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

Height = 0.38 * ln(10 * DRC)
DRC
Root collar / stem base diameter, cm

Open-spaced juvenile plants (2-year-old containerised plants on-grown for 3 years, sampled up to 5 years). The tables are headed 'at age 5 years' but the appendix figures show points from all harvest years, and the paper gives no n or RCD range for these fits, so none is recorded. x is root collar diameter in mm; biomass in g and height in m (units inferred from Table 2 and Appendix 1 means, which the equations reproduce; the paper does not print units beside the equations).

Source
0.901
R² · Table 3, Height, Coriaria arborea, r² column
R²
0.901
Method
ordinary least squares, natural log-linear through origin (y = m ln x)
Where
Taruheru River terrace, Gisborne, New Zealand
Last checked
2026-11-02
Calculate
1.138
Height (m)
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
DRC = 21.141.14Computed from the printed form
hand-computed from the published form (RCD in mm, mass in g, converted)
DRC = 61.561.56Computed from the printed form
hand-computed from the published form (RCD in mm, mass in g, converted)
DRC = 151.91.9Computed from the printed form
hand-computed from the published form (RCD in mm, mass in g, converted)

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