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

Height equation for Fagus moesiaca, Greece, from Zianis & Mencuccini 2003. 16 trees, DBH 5.19–40.6 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Zianis & Mencuccini 2003 (Table III, model in caption and lnH row, p. 442):

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

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#equation

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

```
Height = 1.0083 * exp(1.4192 + 0.5358 * ln(D))
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 1.0083 * exp(1.4192 + 0.5358 * ln(D)), with D in cm; output in m.
Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#canonical

## What it covers

- Output: Height, m
- Taxon: Fagus moesiaca (species); broadleaf
- Where: Vermio Mountain, Northern Greece. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#where
- Biomes: temperate
- Stand: natural
- Trees measured: 16. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#n_trees
- DBH range: 5.19–40.6 cm. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#dbh
- R²: 0.89. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#r2
- Residual SE: 0.1292. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#rse
- Correction factor: 1.0083 (applied). Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#cf
- Method: natural-log regression. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#checked_at

A missing fit statistic is one the source doesn't state, or that we haven't recorded; it is never estimated. Outside the stated DBH range or region, the equation is an extrapolation.

## Source

Zianis, D., & Mencuccini, M. (2003). Aboveground biomass relationships for beech (Fagus moesiaca Cz.) trees in Vermio Mountain, Northern Greece, and generalised equations for Fagus sp. Annals of Forest Science, 60(5), 439–448.

- DOI: https://doi.org/10.1051/forest:2003036
- Peer review: A paper in a peer-reviewed journal.
- Access: open access
- Copy we read: https://hal.science/hal-00883716/document
- Every equation from this source: https://treeallometry.org/sources/zianis-2003/
- Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#source

## The facts, in the source's words

**Equation** (Table III, model in caption and lnH row, p. 442):

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

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#equation

**Equation** (Table III, lnH, p. 442):

> lnH      lnD       1.4192      0.5358

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-expression

**Output** (Section 2.2, p. 441):

> total height (H)

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-output

**Units** (Table III note, p. 442):

> Biomass is expressed in kg, diameter in cm, and height in m.

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-published-units

**Taxon** (Abstract, p. 439):

> Fagus moesiaca Cz.

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-taxon

**Where** (Abstract, p. 439):

> Vermio Mountains of Northern
Greece

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-region

**Where** (Section 2.1, p. 440):

> the forest can be classified as temperate Mediterranean

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-region-2

**stand** (Section 2.1, p. 440 (rendered page)):

> Naturally regenerated, pure beech

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-stand

**Trees measured** (Table III caption, p. 442):

> number of sampled trees was 16

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-n-trees

**Smallest DBH** (Section 2.2, p. 441):

> 5.19 to 40.6 cm

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-dbh-min-cm

**Largest DBH** (Section 2.2, p. 441):

> 5.19 to 40.6 cm

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-dbh-max-cm

**R²** (Table III, lnH, R2, p. 442):

> 0.89

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-r2

**Residual standard error** (Table III, lnH, SEE, p. 442):

> 0.1292

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-rse

**Correction factor** (Table III, lnH, CF, p. 442):

> 1.0083

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-cf

**method** (Section 3.1, p. 442):

> Napierian logarithmic function

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#quote-fit-method

**Our note:** 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.

## Checks this equation passes

On every build, the library's form and the source's own form (in its units) must both give these values within 1%.

| Inputs | Expected | We get | From |
| --- | --- | --- | --- |
| D = 20 | 20.8 | 20.8 | Computed from the printed form: Computed from Table III coefficients and CF. |

Cite: https://treeallometry.org/equations/zianis-2003-iii-h/#checks

## How to cite

Cite the source for the equation: Zianis, D., & Mencuccini, M. (2003). Aboveground biomass relationships for beech (Fagus moesiaca Cz.) trees in Vermio Mountain, Northern Greece, and generalised equations for Fagus sp. Annals of Forest Science, 60(5), 439–448. https://doi.org/10.1051/forest:2003036

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Fagus moesiaca total tree height, DBH (Table III lnH)", checked 2026-11-05, https://treeallometry.org/equations/zianis-2003-iii-h/. Data CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Quotes are the authors' words.

Data for this equation: https://treeallometry.org/data/equations/zianis-2003-iii-h.json
Report a problem: email info@restorationscope.com with the equation id (zianis-2003-iii-h) and where the right value appears.