# Fagus moesiaca stem dry biomass within the crown, DBH (Table III lnMCS) 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 III, model in caption and lnMCS row, p. 442): > lnMCS = ln a + b lnD; ln a = −4.0543, b = 2.2116 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#equation In this library's units, ready to compute (stem biomass in kg): ``` Stem biomass = 1.1914 * exp(-4.0543 + 2.2116 * ln(D)) ``` Inputs: D = Diameter at breast height (1.3 m) (cm). The source's own form: 1.1914 * exp(-4.0543 + 2.2116 * ln(D)), with D in cm; output in kg. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#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-iii-mcs/#where - Biomes: temperate - Stand: natural - Trees measured: 16. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#n_trees - DBH range: 5.19–40.6 cm. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#dbh - R²: 0.87. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#r2 - Residual SE: 0.5918. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#rse - Correction factor: 1.1914 (applied). Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#cf - Method: natural-log regression. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#method - Verification: read in the original source - Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#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-iii-mcs/#source ## The facts, in the source's words **Equation** (Table III, model in caption and lnMCS row, p. 442): > lnMCS = ln a + b lnD; ln a = −4.0543, b = 2.2116 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#equation **Equation** (Table III, lnMCS, p. 442): > lnMCS lnD –4.0543 2.2116 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-expression **Output** (Table III note, p. 442): > MCS: the mass of the stem within the crown Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-output **Output** (Section 2.2, p. 441): > oven dried to constant weight Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#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-iii-mcs/#quote-published-units **Taxon** (Abstract, p. 439): > Fagus moesiaca Cz. Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-taxon **Where** (Abstract, p. 439): > Vermio Mountains of Northern Greece Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-region **Where** (Section 2.1, p. 440): > the forest can be classified as temperate Mediterranean Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-region-2 **stand** (Section 2.1, p. 440 (rendered page)): > Naturally regenerated, pure beech Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-stand **Trees measured** (Table III caption, p. 442): > number of sampled trees was 16 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-fit-n-trees **Smallest DBH** (Section 2.2, p. 441): > 5.19 to 40.6 cm Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#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-iii-mcs/#quote-fit-dbh-max-cm **R²** (Table III, lnMCS, R2, p. 442): > 0.87 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-fit-r2 **Residual standard error** (Table III, lnMCS, SEE, p. 442): > 0.5918 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-fit-rse **Correction factor** (Table III, lnMCS, CF, p. 442): > 1.1914 Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-fit-cf **method** (Section 3.1, p. 442): > Napierian logarithmic function Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#quote-fit-method **Our note:** D is DBH at 1.3 m. Multiply by Table III's CF once; it equals exp(SEE²/2), although the text calls SEE²/2 CF. Stem mass within the crown only, not whole-stem biomass. 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 | 15.6 | 15.6 | Computed from the printed form: Computed from Table III coefficients and CF. | Cite: https://treeallometry.org/equations/zianis-2003-iii-mcs/#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 within the crown, DBH (Table III lnMCS)", checked 2026-11-05, https://treeallometry.org/equations/zianis-2003-iii-mcs/. 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-iii-mcs.json Report a problem: email info@restorationscope.com with the equation id (zianis-2003-iii-mcs) and where the right value appears.