# Leaf biomass from diameter (Table II)

Foliage biomass equation for Fagus sylvatica, Netherlands, from Bartelink 1997. 38 trees. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Bartelink 1997 (Table II, model below table and Leaves row, p. 43 (rendered page-06).):

> Y = c₀ + c₁*dbh^c₂; c₀ = 0.375, c₁ = 0.0024, c₂ = 2.517

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#equation

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

```
Foliage biomass = 0.375 + 0.0024 * D^2.517
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 0.375 + 0.0024 * dbh^2.517, with dbh in cm; output in kg.
Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#canonical

## What it covers

- Output: Foliage biomass, kg
- Taxon: Fagus sylvatica (species); broadleaf
- Where: Forest area in the centre of the Netherlands. Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#where
- Biomes: not stated
- Stand: not stated
- Trees measured: 38. Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#n_trees
- R²: 0.906. Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#r2
- Method: nonlinear least squares. Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#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

Bartelink, H. H. (1997). Allometric relationships for biomass and leaf area of beech (Fagus sylvatica L). Annales des Sciences Forestières, 54(1), 39–50.

- DOI: https://doi.org/10.1051/forest:19970104
- Peer review: A paper in a peer-reviewed journal.
- Access: open access
- Copy we read: https://hal.science/hal-00883130/document
- Every equation from this source: https://treeallometry.org/sources/bartelink-1997/
- Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#source

## The facts, in the source's words

**Equation** (Table II, model below table and Leaves row, p. 43 (rendered page-06).):

> Y = c₀ + c₁*dbh^c₂; c₀ = 0.375, c₁ = 0.0024, c₂ = 2.517

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#equation

**Equation** (Table II, p. 43 (rendered page)):

> Leaves 0.375 0.0024 0.0021 2.517 0.253 0.906

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-expression

**Equation** (Table II, p. 43 (rendered page)):

> The models are of the form Y = c₀ + c₁*dbhᶜ².

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-expression-2

**Output** (Results, p. 43):

> leaf biomass

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-output

**Units** (Table II, p. 43 (rendered page)):

> Nonlinear models between tree biomass amounts or leaf area (Y: in kg or m²) and dbh (in cm).

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-published-units

**Trees measured** (Table II, p. 43 (rendered page)):

> The number of observations is 38.

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-fit-n-trees

**R²** (Table II, p. 43 (rendered page)):

> Leaves 0.375 0.0024 0.0021 2.517 0.253 0.906

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-fit-r2

**method** (Data analysis, p. 42):

> In the case of nonlinear regression analysis the model was fitted directly by nonlinear least squares.

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-fit-method

**Taxon** (Title, p. 39):

> beech (Fagus sylvatica L)

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-taxon

**Where** (Data collection, p. 40):

> centre of the Netherlands.

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#quote-region

**Our note:** DBH is measured at 1.30 m. The reported R² is adjusted for degrees of freedom. The author cautions against extrapolation, particularly because the two largest trees influenced the leaf and branch fits.

## 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 = 15 | 2.56 | 2.56 | Computed from the printed form: Computed from Table II; diameter is within the plotted sample. |

Cite: https://treeallometry.org/equations/bartelink-1997-ii-leaves/#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: Bartelink, H. H. (1997). Allometric relationships for biomass and leaf area of beech (Fagus sylvatica L). Annales des Sciences Forestières, 54(1), 39–50. https://doi.org/10.1051/forest:19970104

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Leaf biomass from diameter (Table II)", checked 2026-11-05, https://treeallometry.org/equations/bartelink-1997-ii-leaves/. 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/bartelink-1997-ii-leaves.json
Report a problem: email info@restorationscope.com with the equation id (bartelink-1997-ii-leaves) and where the right value appears.