{"id":"lambert-2005-alpine-fir-branches","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, alpine fir, dbh only (branches; Table 3)","output":{"quantity":"branch_biomass"},"expression":"0.0121 * D^2.3519","published":{"expression":"0.0121 * dbh^2.3519","units":{"dbh":"cm"},"variables":{"dbh":"D"},"output_unit":"kg"},"taxon":{"level":"species","name":"Abies lasiocarpa","family":"Pinaceae","group":"conifer"},"region":{"scope":"regional","countries":["CA"],"place":"Alberta, Canada (ENFOR archival data, early 1980s)","biomes":["boreal"]},"fit":{"n_trees":60,"dbh_min_cm":2.1,"dbh_max_cm":36.5,"r2":0.75,"method":"Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total"},"evidence":[{"field":"expression","quote":"y branches = β branches1D βbranches2 + e branches","locator":"Eq. 2"},{"field":"expression","quote":"bbranches1 0.0121","locator":"Table 3, Alpine fir"},{"field":"expression","quote":"bbranches2 2.3519","locator":"Table 3, Alpine fir"},{"field":"fit.n_trees","quote":"Alpine fir               60     19.6±1.3     14.8±0.8      158.4±19.5","locator":"Table 2 (No. of trees)"},{"field":"fit.dbh_min_cm","quote":"(2.1;36.5)   (2.2;23.7)     (1.7;461.8)","locator":"Table 2, Alpine fir (ranges of dbh, height, total biomass)"},{"field":"fit.r2","quote":"Branches 0.0004 0.75 10.4 3.80 0.0009 0.72 11.0 3.56","locator":"Table 5, Alpine fir (AdjRSq in the dbh-based set, first block)"}],"check":[{"inputs":{"D":20},"expected":13.8892,"origin":"computed","note":"computed from the published form at dbh = 20 cm"}],"verification":"original_read","checked_at":"2026-11-03","notes":"All branches, cut at the stem base (live branches; dead branches excluded). 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."}