{"id":"lambert-2005-grey-birch","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, grey birch, dbh only (sum of wood, bark, branches, foliage; Table 3)","output":{"quantity":"agb"},"expression":"0.072 * D^2.3885 + 0.0168 * D^2.2569 + 0.0088 * D^2.5689 + 0.0099 * D^1.8985","published":{"expression":"0.072 * dbh^2.3885 + 0.0168 * dbh^2.2569 + 0.0088 * dbh^2.5689 + 0.0099 * dbh^1.8985","units":{"dbh":"cm"},"variables":{"dbh":"D"},"output_unit":"kg"},"taxon":{"level":"species","name":"Betula populifolia","family":"Betulaceae","group":"broadleaf"},"region":{"scope":"regional","countries":["CA"],"place":"Nova Scotia, Canada (ENFOR archival data, early 1980s)","biomes":["temperate"]},"fit":{"n_trees":43,"dbh_min_cm":2.2,"dbh_max_cm":22.7,"r2":0.94,"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":"Grey birch bwood1 0.0720","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bwood2 2.3885","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bbark1 0.0168","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bbark2 2.2569","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bbranches1 0.0088","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bbranches2 2.5689","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bfoliage1 0.0099","locator":"Table 3, Grey birch"},{"field":"expression","quote":"bfoliage2 1.8985","locator":"Table 3, Grey birch"},{"field":"fit.n_trees","quote":"Grey birch              43     10.3±0.8     8.9±0.5       39.8±6.9","locator":"Table 2 (No. of trees)"},{"field":"fit.dbh_min_cm","quote":"(2.2;22.7)   (2.3;14.9)    (0.6;181.0)","locator":"Table 2, Grey birch (ranges of dbh, height, total biomass)"},{"field":"fit.r2","quote":"Total 0.0016 0.94 11.1 3.92 0.0050 0.96 9.0 3.33","locator":"Table 5, Grey birch (AdjRSq in the dbh-based set, first block)"}],"check":[{"inputs":{"D":20},"expected":129.0041,"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."}