{"id":"lambert-2005-red-maple","source":{"id":"lambert-2005","citation":"Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.","title":"Canadian national tree aboveground biomass equations","authors":["Lambert, M.-C.","Ung, C.-H.","Raulier, F."],"year":2005,"venue":"Canadian Journal of Forest Research","doi":"10.1139/x05-112","url":"https://doi.org/10.1139/x05-112","read_url":"https://www.esf.edu/quest/documents/Lambertetal.2005.Canadatreebiomass.pdf","access":"paywalled","checked_at":"2026-11-03","status":"current","notes":"All 33 species are entered, each with total aboveground, stem (wood + bark), branch and foliage equations, for both the dbh-only set (Table 3) and the dbh + height set (Table 4). The paper's hardwood, softwood and all-species equations are not entered: they are meant for species outside the 33, and this library shows pooled fits only on the pages of species they name. Ung, Bernier & Guo (2008, CJFR 38:1123–1132, doi:10.1139/X07-224) re-estimated parameters for six species after adding British Columbia data and added eight BC species; no legal open copy of that paper was found (NRCan's repository lists it without a file), so Lambert 2005 parameters are used here."},"name":"Canadian national equation, red maple, dbh only (sum of wood, bark, branches, foliage; Table 3)","output":{"quantity":"agb"},"expression":"0.1014 * D^2.3448 + 0.0291 * D^2.0893 + 0.0175 * D^2.4846 + 0.0515 * D^1.5198","published":{"expression":"0.1014 * dbh^2.3448 + 0.0291 * dbh^2.0893 + 0.0175 * dbh^2.4846 + 0.0515 * dbh^1.5198","units":{"dbh":"cm"},"variables":{"dbh":"D"},"output_unit":"kg"},"taxon":{"level":"species","name":"Acer rubrum","family":"Sapindaceae","group":"broadleaf"},"region":{"scope":"national","countries":["CA"],"place":"Canada: Nova Scotia, Ontario, Quebec (ENFOR archival data, early 1980s)","biomes":["boreal","temperate"]},"fit":{"n_trees":177,"dbh_min_cm":2.4,"dbh_max_cm":56,"r2":0.96,"method":"Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total"},"evidence":[{"field":"expression","quote":"y wood = β wood1D βwood2 + ewood","locator":"Eq. 2"},{"field":"expression","quote":"y bark = β bark1D βbark2 + e bark","locator":"Eq. 2"},{"field":"expression","quote":"y branches = β branches1D βbranches2 + e branches","locator":"Eq. 2"},{"field":"expression","quote":"y foliage = β foliage1D βfoliage2 + efoliage","locator":"Eq. 2"},{"field":"expression","quote":"Red maple bwood1 0.1014","locator":"Table 3, Red maple"},{"field":"expression","quote":"bwood2 2.3448","locator":"Table 3, Red maple"},{"field":"expression","quote":"bbark1 0.0291","locator":"Table 3, Red maple"},{"field":"expression","quote":"bbark2 2.0893","locator":"Table 3, Red maple"},{"field":"expression","quote":"bbranches1 0.0175","locator":"Table 3, Red maple"},{"field":"expression","quote":"bbranches2 2.4846","locator":"Table 3, Red maple"},{"field":"expression","quote":"bfoliage1 0.0515","locator":"Table 3, Red maple"},{"field":"expression","quote":"bfoliage2 1.5198","locator":"Table 3, Red maple"},{"field":"fit.n_trees","quote":"Red maple              177     19.9±0.8     15.7±0.4     238.6±21.7","locator":"Table 2 (No. of trees)"},{"field":"fit.dbh_min_cm","quote":"(2.4;56.0)   (3.8;25.4)    (1.1;1875.9)","locator":"Table 2, Red maple (ranges of dbh, height, total biomass)"},{"field":"fit.r2","quote":"Total 0.0050 0.96 58.8 4.25 0.0020 0.97 51.4 4.40","locator":"Table 5, Red maple (AdjRSq in the dbh-based set, first block)"}],"check":[{"inputs":{"D":20},"expected":163.9359,"origin":"computed","note":"computed from the published form at dbh = 20 cm"}],"verification":"original_read","checked_at":"2026-11-03","notes":"Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). r2 is the adjusted R² (AdjRSq) of this compartment in Table 5. Fitted on the original scale (weighted nonlinear seemingly unrelated regression), so there is no back-transform correction. Dead branches, cones and fruits are not part of aboveground biomass in this work (Materials). Stand type was not always recorded. Ung, Bernier & Guo (2008) later revised parameters for some species with British Columbia data; not used here."}