# Fagus generalised foliage biomass, DBH (Table V)

Foliage biomass equation for Fagus, Global, from Zianis & Mencuccini 2003. DBH 1–66 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

**Not fully checked:** The methods describe log-transformed generalized fits, but Table V gives neither SEE nor a correction factor for this component and does not establish whether its coefficient includes back-transform correction. This record uses the printed power function; verify correction handling before treating its output as mean foliage dry mass.

## Equation

As printed in Zianis & Mencuccini 2003 (Equation (1), model, p. 441; Table V, Foliage row, p. 446):

> Y = aXᵇ; a = 0.0188, b = 1.8169

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

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

```
Foliage biomass = 0.0188 * D^1.8169
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 0.0188 * D^1.8169, with D in cm; output in kg.
Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#canonical

## What it covers

- Output: Foliage biomass, kg
- Taxon: Fagus (genus); broadleaf
- Where: Europe and eastern North America (source equations). Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#where
- Biomes: not stated
- Stand: not stated
- DBH range: 1–66 cm. Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#dbh
- R²: 0.86. Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#r2
- Method: regression on predictions from published equations. Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#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-v-foliage/#source

## The facts, in the source's words

**Equation** (Equation (1), model, p. 441; Table V, Foliage row, p. 446):

> Y = aXᵇ; a = 0.0188, b = 1.8169

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

**Equation** (Table V, foliage, p. 446):

> Foliage                   0.0188                  1.8169                  1–66               0.86               32.29%

Cite: https://treeallometry.org/equations/zianis-2003-v-foliage/#quote-expression

**Output** (Table V, p. 446):

> Foliage

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

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

> for Fagus genus.

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

**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-v-foliage/#quote-published-units

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

> were log-transformed and a generalised equation

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

**R²** (Table V, foliage, p. 446):

> 0.86

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

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

> USA, Maine

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

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

> EU, Netherlands Centre

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

**Smallest DBH** (Table V, Foliage row, D range (cm), p. 446):

> 1–66

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

**Largest DBH** (Table V, Foliage row, D range (cm), p. 446):

> 1–66

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

**Our note:** D is DBH in cm; output is kg dry biomass. This is an original generalized fit to predictions from published equations, not a fit to independent harvested-tree observations. No additional correction can be calculated without SEE or CF. The 1–66 cm bounds are the domain explicitly reported in Table V, not extrema inferred from synthetic class means. The species used specifically for this component fit are not enumerated. Figure 4 describes validation refits excluding the Spanish and Greek equations; it does not print coefficients for those refits, so its plotted predictions are not substituted for Table V.

## 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 | 4.35 | 4.35 | Computed from the printed form: Computed from the Table V coefficients, without an unreported correction. |

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