# Fagus generalised aboveground biomass, DBH (Eq. 10)

Aboveground biomass equation for Fagus, Global, from Zianis & Mencuccini 2003. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

Fitted on Fagus grandifolia, Fagus sylvatica.

## Equation

As printed in Zianis & Mencuccini 2003 (Eq. 10, p. 444):

> lnMT = 2.456(0.05)lnD – 2.073(0.156)            (10)

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#equation

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

```
Aboveground biomass = exp(-2.073 + 2.456 * ln(D) + 0.1551^2 / 2)
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: exp(-2.073 + 2.456 * ln(D) + 0.1551^2 / 2), with D in cm; output in kg.
Cite: https://treeallometry.org/equations/zianis-2003-eq10/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Fagus (genus); broadleaf
- Where: Europe and eastern North America (source equations). Cite: https://treeallometry.org/equations/zianis-2003-eq10/#where
- Biomes: not stated
- Stand: not stated
- R²: 0.992. Cite: https://treeallometry.org/equations/zianis-2003-eq10/#r2
- Residual SE: 0.1551. Cite: https://treeallometry.org/equations/zianis-2003-eq10/#rse
- Method: log-log regression on predictions from published equations. Cite: https://treeallometry.org/equations/zianis-2003-eq10/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-eq10/#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-eq10/#source

## The facts, in the source's words

**Equation** (Eq. 10, p. 444):

> lnMT = 2.456(0.05)lnD – 2.073(0.156)            (10)

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#equation

**Output** (Figure 2 caption, p. 444):

> equations for aboveground biomass (MT)

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-output

**Taxon** (Introduction, p. 440):

> for Fagus genus.

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-taxon

**taxon.members** (Table II, p. 442):

> Fagus grandifolia

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-taxon-members

**taxon.members** (Table II, p. 442):

> Fagus sylvatica L.

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-taxon-members-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-eq10/#quote-published-units

**method** (Section 2.4, p. 441):

> were log-transformed and a generalised equation

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-fit-method

**method** (Section 2.3, p. 441):

> where CF = SEE2/2 is the correction factor

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-fit-method-2

**R²** (Eq. 10, p. 444):

> 0.992

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-fit-r2

**Residual standard error** (Eq. 10, p. 444):

> 0.1551

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-fit-rse

**Where** (Table II, p. 442):

> USA, Maine

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-region

**Where** (Table II, p. 442):

> EU, Netherlands Centre

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#quote-region-2

**Our note:** D is DBH in cm; output is kg dry biomass. The fitted inputs are synthetic class-mean predictions. The Greek and Spanish source equations were excluded so their raw trees could be used for validation. The printed SEE is squared and divided by 2 inside the exponent as specified in the methods; no separately printed multiplicative CF is stored. The fitted synthetic-D range is not stated.

## 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 | 200 | 200 | Computed from the printed form: Computed from the printed log-model coefficients and SEE²/2 correction. |

Cite: https://treeallometry.org/equations/zianis-2003-eq10/#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 generalised aboveground biomass, DBH (Eq. 10)", checked 2026-11-05, https://treeallometry.org/equations/zianis-2003-eq10/. 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-eq10.json
Report a problem: email info@restorationscope.com with the equation id (zianis-2003-eq10) and where the right value appears.