# Fagus generalised aboveground biomass, DBH (Eq. 9) Aboveground 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. Fitted on Fagus grandifolia, Fagus sylvatica, Fagus moesiaca. ## Equation As printed in Zianis & Mencuccini 2003 (Eq. 9, p. 443): > lnMT = 2.45(0.055)lnD – 2.004(0.168) (9) Cite: https://treeallometry.org/equations/zianis-2003-eq9/#equation In this library's units, ready to compute (aboveground biomass in kg): ``` Aboveground biomass = exp(-2.004 + 2.45 * ln(D) + 0.1876^2 / 2) ``` Inputs: D = Diameter at breast height (1.3 m) (cm). The source's own form: exp(-2.004 + 2.45 * ln(D) + 0.1876^2 / 2), with D in cm; output in kg. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#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-eq9/#where - Biomes: not stated - Stand: not stated - DBH range: 1–66 cm. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#dbh - R²: 0.987. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#r2 - Residual SE: 0.1876. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#rse - Method: log-log regression on predictions from published equations. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#method - Verification: read in the original source - Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#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-eq9/#source ## The facts, in the source's words **Equation** (Eq. 9, p. 443): > lnMT = 2.45(0.055)lnD – 2.004(0.168) (9) Cite: https://treeallometry.org/equations/zianis-2003-eq9/#equation **Output** (Figure 2 caption, p. 444): > equations for aboveground biomass (MT) Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-output **Taxon** (Introduction, p. 440): > for Fagus genus. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-taxon **taxon.members** (Table II, p. 442): > Fagus grandifolia Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-taxon-members **taxon.members** (Table II, p. 442): > Fagus sylvatica L. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-taxon-members-2 **taxon.members** (Table II, p. 442): > Fagus moesiaca Cz. Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-taxon-members-3 **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-eq9/#quote-published-units **method** (Section 2.4, p. 441): > were log-transformed and a generalised equation Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-method **method** (Section 2.3, p. 441): > where CF = SEE2/2 is the correction factor Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-method-2 **R²** (Eq. 9, p. 443): > 0.987 Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-r2 **Residual standard error** (Eq. 9, p. 443): > 0.1876 Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-rse **Where** (Table II, p. 442): > USA, Maine Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-region **Where** (Table II, p. 442): > EU, Netherlands Centre Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-region-2 **Smallest DBH** (Table V, Total row, D range (cm), p. 446): > 1–66 Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-dbh-min-cm **Largest DBH** (Table V, Total row, D range (cm), p. 446): > 1–66 Cite: https://treeallometry.org/equations/zianis-2003-eq9/#quote-fit-dbh-max-cm **Our note:** D is DBH in cm; output is kg dry biomass. The fitted inputs are synthetic class-mean predictions. The authors used seven source equations, including their Greek fit. 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 1–66 cm bounds are the domain explicitly reported in Table V for the generalized total equation, not extrema inferred from synthetic class means. Table V's 0.1348 D^2.4500 is the rounded, uncorrected power form of Eq. 9; this record applies the methods' back-transform correction. ## 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 | 211 | 211 | Computed from the printed form: Computed from the printed log-model coefficients and SEE²/2 correction. | Cite: https://treeallometry.org/equations/zianis-2003-eq9/#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. 9)", checked 2026-11-05, https://treeallometry.org/equations/zianis-2003-eq9/. 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-eq9.json Report a problem: email info@restorationscope.com with the equation id (zianis-2003-eq9) and where the right value appears.