Tree Allometrics

Fagus moesiaca / Height

Fagus moesiaca total tree height, DBH (Table III lnH)

HeightFagus moesiacaGreecenaturalRead from the original paperPeer-reviewed source
Photo of Fagus moesiaca
© Igor Balashov · CC BY · iNaturalist
Equation

As printed (Table III, model in caption and lnH row, p. 442)

lnH = ln a + b lnD; ln a = 1.4192, b = 0.5358

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

Height = 1.0083 * exp(1.4192 + 0.5358 * ln(D))
D
Diameter at breast height (1.3 m), cm

D is DBH at 1.3 m. Multiply by Table III's CF once; it equals exp(SEE²/2), although the text calls SEE²/2 CF. Output is total tree height. The retained 5.19–40.6 cm range is explicitly reported in the methods (p. 441); the later comparison describes a largest Greek tree of 41.45 cm (p. 446). That sample-description discrepancy is not used to extend the reported range.

Source
lnH lnD 1.4192 0.5358
Equation · Table III, lnH, p. 442
total height (H)
Output · Section 2.2, p. 441
Biomass is expressed in kg, diameter in cm, and height in m.
Units · Table III note, p. 442
Fagus moesiaca Cz.
Taxon · Abstract, p. 439
Vermio Mountains of Northern Greece
Where · Abstract, p. 439
the forest can be classified as temperate Mediterranean
Where · Section 2.1, p. 440
Naturally regenerated, pure beech
stand · Section 2.1, p. 440 (rendered page)
number of sampled trees was 16
Trees measured · Table III caption, p. 442
5.19 to 40.6 cm
Smallest DBH · Section 2.2, p. 441
5.19 to 40.6 cm
Largest DBH · Section 2.2, p. 441
0.89
R² · Table III, lnH, R2, p. 442
0.1292
Residual standard error · Table III, lnH, SEE, p. 442
1.0083
Correction factor · Table III, lnH, CF, p. 442
Napierian logarithmic function
method · Section 3.1, p. 442
Trees measured
16
DBH range
5.19–40.6 cm
R²
0.89
Residual SE
0.1292
Correction factor
1.0083 (applied)
Method
natural-log regression
Where
Vermio Mountain, Northern Greece
Last checked
2026-11-05
Calculate
20.8
Height (m)

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 = 2020.820.8Computed from the printed form
Computed from Table III coefficients and CF.

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