Tree Allometrics

Equations / Height

D. stocksii culm height from diameter at breast height (H-D model, Table 9)

HeightDendrocalamus stocksii · PoaceaeIndiaplantationRead from the original paper
No openly licensed photo yet
Equation

As printed (Methods, H-D relationship)

Allometric equation of the form H = aDb + e, was used to develop the relationship between height (H) with the diameter at breast height

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

Height = 1.55 * D^1.18
D
Diameter at breast height (1.3 m), cm

Culm-level height model for a bamboo, intended by the authors to fill missing culm heights. D is culm diameter at breast height (cm), H culm height (m); units taken from Table 3 headings, not restated beside the equation. Fitted on 80% of the sample, so n is not stored; Adj. R² is printed but not stored. The paper's biomass models (Tables 5 and 7) predict fresh weight, not dry biomass, and were not added.

Source
D. stocksii 1/D0.41 1.55 ± 0.21 1.18 ± 0.09 0.76
Equation · Table 9 (Weight variable, a, b, Adj.R2)
Culm diameter (cm) Culm height (m)
Units · Table 3 headings
Method
Weighted maximum-likelihood nonlinear power model H = aD^b (nlme), fitted on 80% of the data
Where
Western Himalayan foothills, Uttarakhand (Dehradun and Pantnagar)
Last checked
2026-11-02
Calculate
12.84
Height (m)
020406080100120140510152025303540DBH (cm)Height (m)Height

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 = 612.812.8Computed from the printed form
computed from the Table 9 coefficients

Report a problem with this equation · JSON

Related

Compare these curves