{"id":"zianis-2003-eq9","source":{"id":"zianis-2003","citation":"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.","title":"Aboveground biomass relationships for beech (Fagus moesiaca Cz.) trees in Vermio Mountain, Northern Greece, and generalised equations for Fagus sp.","authors":["Zianis, D.","Mencuccini, M."],"year":2003,"type":"journal-article","venue":"Annals of Forest Science","doi":"10.1051/forest:2003036","url":"https://doi.org/10.1051/forest:2003036","read_url":"https://hal.science/hal-00883716/document","access":"open","checked_at":"2026-11-05","status":"current","notes":"The publisher's PDF returned HTTP 403 to the automated check, so publisher access could not be confirmed; the supplied HAL paper copy was read."},"name":"Fagus generalised aboveground biomass, DBH (Eq. 9)","output":{"quantity":"agb"},"expression":"exp(-2.004 + 2.45 * ln(D) + 0.1876^2 / 2)","published":{"expression":"exp(-2.004 + 2.45 * ln(D) + 0.1876^2 / 2)","units":{"D":"cm"},"output_unit":"kg"},"taxon":{"level":"genus","name":"Fagus","group":"broadleaf","members":["Fagus grandifolia","Fagus sylvatica","Fagus moesiaca"],"members_complete":true},"region":{"scope":"global","countries":[],"place":"Europe and eastern North America (source equations)","biomes":[]},"fit":{"dbh_min_cm":1,"dbh_max_cm":66,"r2":0.987,"rse":0.1876,"method":"log-log regression on predictions from published equations"},"evidence":[{"field":"expression","quote":"lnMT = 2.45(0.055)lnD – 2.004(0.168)           (9)","locator":"Eq. 9, p. 443"},{"field":"output","quote":"equations for aboveground biomass (MT)","locator":"Figure 2 caption, p. 444"},{"field":"taxon","quote":"for Fagus genus.","locator":"Introduction, p. 440"},{"field":"taxon.members","quote":"Fagus grandifolia","locator":"Table II, p. 442"},{"field":"taxon.members","quote":"Fagus sylvatica L.","locator":"Table II, p. 442"},{"field":"taxon.members","quote":"Fagus moesiaca Cz.","locator":"Table II, p. 442"},{"field":"published.units","quote":"Biomass is expressed in kg, diameter in cm, and height in m.","locator":"Table III note, p. 442"},{"field":"fit.method","quote":"were log-transformed and a generalised equation","locator":"Section 2.4, p. 441"},{"field":"fit.method","quote":"where CF = SEE2/2 is the correction factor","locator":"Section 2.3, p. 441"},{"field":"fit.r2","quote":"0.987","locator":"Eq. 9, p. 443"},{"field":"fit.rse","quote":"0.1876","locator":"Eq. 9, p. 443"},{"field":"region","quote":"USA, Maine","locator":"Table II, p. 442"},{"field":"region","quote":"EU, Netherlands Centre","locator":"Table II, p. 442"},{"field":"fit.dbh_min_cm","quote":"1–66","locator":"Table V, Total row, D range (cm), p. 446"},{"field":"fit.dbh_max_cm","quote":"1–66","locator":"Table V, Total row, D range (cm), p. 446"}],"check":[{"inputs":{"D":20},"expected":211.270848,"origin":"computed","note":"Computed from the printed log-model coefficients and SEE²/2 correction."}],"verification":"original_read","checked_at":"2026-11-05","notes":"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."}