# Stem biomass from diameter (Table II) Stem 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 and asterisk explanation below table; Stem row, p. 43 (rendered page-06).): > Y = c₀ + c₁*dbh^c₂; c₀ = *, c₁ = 0.0762, c₂ = 2.523; *Intercept not significant. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#equation In this library's units, ready to compute (stem biomass in kg): ``` Stem biomass = 0.0762 * D^2.523 ``` Inputs: D = Diameter at breast height (1.3 m) (cm). The source's own form: 0.0762 * dbh^2.523, with dbh in cm; output in kg. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#canonical ## What it covers - Output: Stem biomass, kg - Taxon: Fagus sylvatica (species); broadleaf - Where: Forest area in the centre of the Netherlands. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#where - Biomes: not stated - Stand: not stated - Trees measured: 38. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#n_trees - R²: 0.979. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#r2 - Method: nonlinear least squares. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#method - Verification: read in the original source - Last checked: 2026-11-05. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#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-stem/#source ## The facts, in the source's words **Equation** (Table II, model and asterisk explanation below table; Stem row, p. 43 (rendered page-06).): > Y = c₀ + c₁*dbh^c₂; c₀ = *, c₁ = 0.0762, c₂ = 2.523; *Intercept not significant. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#equation **Equation** (Table II, p. 43 (rendered page)): > Stem * 0.0762 0.0224 2.523 0.088 0.979 Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#quote-expression **Equation** (Table II, p. 43 (rendered page)): > *Intercept not significant. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#quote-expression-2 **Equation** (Below Eq. 10, p. 48 (rendered page)): > k₂ = 0.0762*k²·⁵²³ Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#quote-expression-3 **Output** (Data collection, p. 41): > wood basic density of 550 kg dry weight per m3 Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#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-stem/#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-stem/#quote-fit-n-trees **R²** (Table II, p. 43 (rendered page)): > Stem * 0.0762 0.0224 2.523 0.088 0.979 Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#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-stem/#quote-fit-method **Taxon** (Title, p. 39): > beech (Fagus sylvatica L) Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#quote-taxon **Where** (Data collection, p. 40): > centre of the Netherlands. Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#quote-region **Our note:** DBH is measured at 1.30 m. The nonsignificant intercept is omitted, consistent with the stem function used below Eq. 10. Stem dry mass was estimated from stem volume using a basic density of 550 kg/m³. 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 | 70.7 | 70.7 | Computed from the printed form: Computed from Table II; diameter is within the plotted sample. | Cite: https://treeallometry.org/equations/bartelink-1997-ii-stem/#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), "Stem biomass from diameter (Table II)", checked 2026-11-05, https://treeallometry.org/equations/bartelink-1997-ii-stem/. 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-stem.json Report a problem: email info@restorationscope.com with the equation id (bartelink-1997-ii-stem) and where the right value appears.