# Fagus moesiaca stem dry biomass, nonlinear DBH fit (Table IV Ms)

Stem biomass 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 IV, model in caption and Ms row, p. 443):

> Ms = aDᵇ; a = 0.7568, b = 1.9536

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#equation

In this library's units, ready to compute (stem biomass in kg):

```
Stem biomass = 0.7568 * D^1.9536
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 0.7568 * D^1.9536, with D in cm; output in kg.
Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#canonical

## What it covers

- Output: Stem biomass, kg
- Taxon: Fagus moesiaca (species); broadleaf
- Where: Vermio Mountain, Northern Greece. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#where
- Biomes: temperate
- Stand: natural
- Trees measured: 16. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#n_trees
- DBH range: 5.19–40.6 cm. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#dbh
- R²: 0.97. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#r2
- Method: nonlinear regression on the original scale. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#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-iv-ms/#source

## The facts, in the source's words

**Equation** (Table IV, model in caption and Ms row, p. 443):

> Ms = aDᵇ; a = 0.7568, b = 1.9536

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#equation

**Equation** (Table IV, Ms, p. 443):

> Ms              D           0.7568          1.9536

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-expression

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

> MS: stem mass

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-output

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

> oven dried to constant weight

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-output-2

**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-iv-ms/#quote-published-units

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

> Fagus moesiaca Cz.

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-taxon

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

> Vermio Mountains of Northern
Greece

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-region

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

> the forest can be classified as temperate Mediterranean

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-region-2

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

> Naturally regenerated, pure beech

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-stand

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

> number of sampled trees was 16

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

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

> 5.19 to 40.6 cm

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

**R²** (Table IV, Ms, R2, p. 443):

> 0.97

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-fit-r2

**method** (Section 3.1, p. 443):

> Nonlinear equations were developed for

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#quote-fit-method

**Our note:** D is DBH at 1.3 m. This original-scale nonlinear fit needs no log back-transformation correction. The authors report better SSE for nonlinear models, but lower MPD for the log models of total, stem and branch mass. 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 | 263 | 263 | Computed from the printed form: Computed from the Table IV nonlinear power fit. |

Cite: https://treeallometry.org/equations/zianis-2003-iv-ms/#checks

The calculator on the page shows carbon as biomass × 0.47 (IPCC 2006 Guidelines, Vol. 4, Ch. 4, Table 4.3) and CO₂e as carbon × 44/12.

## 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 stem dry biomass, nonlinear DBH fit (Table IV Ms)", checked 2026-11-05, https://treeallometry.org/equations/zianis-2003-iv-ms/. 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-iv-ms.json
Report a problem: email info@restorationscope.com with the equation id (zianis-2003-iv-ms) and where the right value appears.