# Aboveground biomass from diameter and height (Table III) Aboveground 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 III, model below table and Total row, p. 43 (rendered page-06).): > Y = c₁*dbh^c₂*h^c₃; c₁ = 0.0306, c₂ = 2.347, c₃ = 0.590 Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#equation In this library's units, ready to compute (aboveground biomass in kg): ``` Aboveground biomass = 0.0306 * D^2.347 * H^0.590 ``` Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m). The source's own form: 0.0306 * dbh^2.347 * h^0.590, with dbh in cm, h in m; output in kg. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#canonical ## What it covers - Output: Aboveground biomass, kg - Taxon: Fagus sylvatica (species); broadleaf - Where: Forest area in the centre of the Netherlands. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#where - Biomes: not stated - Stand: not stated - Trees measured: 38. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#n_trees - R²: 0.991. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#r2 - Method: nonlinear least squares. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#method - Verification: read in the original source - Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#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-iii-total/#source ## The facts, in the source's words **Equation** (Table III, model below table and Total row, p. 43 (rendered page-06).): > Y = c₁*dbh^c₂*h^c₃; c₁ = 0.0306, c₂ = 2.347, c₃ = 0.590 Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#equation **Equation** (Table III, p. 43 (rendered page)): > Total 0.0306 0.0119 2.347 0.096 0.590 0.183 0.991 Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-expression **Equation** (Table III, p. 43 (rendered page)): > The models are of the form Y = c₁*dbhᶜ²*hᶜ³. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-expression-2 **Output** (Data analysis, p. 42): > total aboveground biomass Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-output **Units** (Table III, p. 43 (rendered page)): > Nonlinear models between tree biomass amounts or leaf area (Y: in kg or m²) and dbh (in cm) and tree height (h: in m). Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-published-units **Trees measured** (Table III, p. 43 (rendered page)): > The number of observations is 38. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-fit-n-trees **R²** (Table III, p. 43 (rendered page)): > Total 0.0306 0.0119 2.347 0.096 0.590 0.183 0.991 Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#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-iii-total/#quote-fit-method **Taxon** (Title, p. 39): > beech (Fagus sylvatica L) Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-taxon **Where** (Data collection, p. 40): > centre of the Netherlands. Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#quote-region **Our note:** DBH is measured at 1.30 m; h is measured tree height. Stem dry mass was estimated from stem volume using a basic density of 550 kg/m³. The author reports that adding height increased R². R² is adjusted for degrees of freedom. ## 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, H = 14 | 83.6 | 83.6 | Computed from the printed form: Computed from Table III. | Cite: https://treeallometry.org/equations/bartelink-1997-iii-total/#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), "Aboveground biomass from diameter and height (Table III)", checked 2026-11-05, https://treeallometry.org/equations/bartelink-1997-iii-total/. 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-iii-total.json Report a problem: email info@restorationscope.com with the equation id (bartelink-1997-iii-total) and where the right value appears.