# Oak aboveground biomass without foliage or dead branches, Level 2

Aboveground biomass equation (without leaves) for Quercus (Q. robur and Q. petraea), Czechia, from Cienciala et al. 2008. 51 trees, DBH 6–59 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

**Not fully checked:** The stored height range follows the abstract's 6–32 m, but Table 1 reports conflicting site height ranges. Fig. 2 supports taller trees than Table 1 lists for Lanžhot. Confirm the fitted height limits before treating them as firm applicability bounds.

Fitted on Quercus robur, Quercus petraea.

## Equation

As printed in Cienciala et al. 2008 (Table 3, model below table and Aboveground biomass, Level 2 row, p. 115):

> Biomass component = λ × exp(p₀ + p₁ × lnD + p₂ × lnH); p₀ = −3.069, p₁ = 2.137, p₂ = 0.661, λ = 0.999

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#equation

In this library's units, ready to compute (aboveground biomass, without leaves in kg):

```
Aboveground biomass, without leaves = 0.999 * exp(-3.069 + 2.137 * ln(D) + 0.661 * ln(H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: 0.999 * exp(-3.069 + 2.137 * ln(D) + 0.661 * ln(H)), with D in cm, H in m; output in kg.
Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#canonical

This total leaves out leaves (foliage), as the source defines it.

## What it covers

- Output: Aboveground biomass, without leaves, kg
- Taxon: Quercus (Q. robur and Q. petraea) (genus); broadleaf
- Where: Six sites in the Czech Republic. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#where
- Biomes: temperate
- Stand: not stated
- Trees measured: 51. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#n_trees
- DBH range: 6–59 cm. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#dbh
- Height range: 6–32 m. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#height
- Correction factor: 0.999 (applied). Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#cf
- Method: Linearized regression. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#method
- Verification: read in the original source
- Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#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

Cienciala, E., Apltauer, J., Exnerová, Z., and Tatarinov, F. (2008). Biomass functions applicable to oak trees grown in Central-European forestry. Journal of Forest Science, 54(3), 109–120.

- DOI: https://doi.org/10.17221/2906-jfs
- Peer review: A paper in a peer-reviewed journal.
- Access: open access
- Copy we read: https://www.agriculturejournals.cz/publicFiles/01003.pdf
- Every equation from this source: https://treeallometry.org/sources/cienciala-2008/
- Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#source

## The facts, in the source's words

**Equation** (Table 3, model below table and Aboveground biomass, Level 2 row, p. 115):

> Biomass component = λ × exp(p₀ + p₁ × lnD + p₂ × lnH); p₀ = −3.069, p₁ = 2.137, p₂ = 0.661, λ = 0.999

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#equation

**Equation** (Table 3, aboveground biomass, Level 2, p. 115):

> –3.069      2.137       0.661

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-expression

**Equation** (Table 3 formula, p. 115):

> Biomass component = λ × exp(p0 + p1 × lnD

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-expression-2

**Equation** (Table 3 caption, p. 115):

> correction factor (λ)

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-expression-3

**Output** (Methods, p. 111):

> sum of stem-wood over bark and living branches.

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-output

**output.excludes** (Methods, p. 111):

> no leaf biomass

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-output-excludes

**Units** (Fig. 2, p. 111):

> D (cm)

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-published-units

**Units** (Fig. 2, p. 111):

> Tree height (m)

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-published-units-2

**Units** (Fig. 4, p. 114):

> AB (kg/tree)

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-published-units-3

**taxon.members** (Keywords, p. 109):

> Quercus robur; Quercus petraea

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-taxon-members

**Where** (Abstract, p. 109):

> different regions of the Czech Republic

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-region

**Where** (Keywords, p. 109):

> temperate region

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-region-2

**Trees measured** (Abstract, p. 109):

> 51 grown trees sampled from 6 sites

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-n-trees

**Smallest DBH** (Abstract, p. 109):

> breast height diameter (D) ranging from 6 to 59 cm

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-dbh-min-cm

**Largest DBH** (Abstract, p. 109):

> breast height diameter (D) ranging from 6 to 59 cm

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-dbh-max-cm

**h min m** (Abstract, p. 109):

> tree height (H) from 6 to 32 m

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-h-min-m

**h max m** (Abstract, p. 109):

> tree height (H) from 6 to 32 m

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-h-max-m

**Correction factor** (Table 3, aboveground biomass, Level 2, p. 115):

> 0.996      0.084       0.999        6.9

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-cf

**method** (Methods, p. 112):

> linearized model (Eq. 3)

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#quote-fit-method

**Our note:** The printed correction factor multiplies the back-transformed prediction. Aboveground biomass comprises stem over bark and living branches; it excludes foliage and dead branches. The authors recommend a single aboveground equation over summing component predictions. Adjusted R² is not stored as unadjusted R².

## 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 = 30, H = 20 | 482 | 482 | Computed from the printed form: Computed from the printed coefficients and correction factor. |

Cite: https://treeallometry.org/equations/cienciala-2008-agb-l2/#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: Cienciala, E., Apltauer, J., Exnerová, Z., and Tatarinov, F. (2008). Biomass functions applicable to oak trees grown in Central-European forestry. Journal of Forest Science, 54(3), 109–120. https://doi.org/10.17221/2906-jfs

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Oak aboveground biomass without foliage or dead branches, Level 2", checked 2026-11-05, https://treeallometry.org/equations/cienciala-2008-agb-l2/. 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/cienciala-2008-agb-l2.json
Report a problem: email info@restorationscope.com with the equation id (cienciala-2008-agb-l2) and where the right value appears.