{"id":"lambert-2005-lodgepole-pine","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, lodgepole pine, dbh only (sum of wood, bark, branches, foliage; Table 3)","output":{"quantity":"agb"},"expression":"0.0475 * D^2.5437 + 0.0186 * D^2.0807 + 0.0198 * D^2.1287 + 0.0432 * D^1.7166","published":{"expression":"0.0475 * dbh^2.5437 + 0.0186 * dbh^2.0807 + 0.0198 * dbh^2.1287 + 0.0432 * dbh^1.7166","units":{"dbh":"cm"},"variables":{"dbh":"D"},"output_unit":"kg"},"taxon":{"level":"species","name":"Pinus contorta var. latifolia","family":"Pinaceae","group":"conifer"},"region":{"scope":"regional","countries":["CA"],"place":"Alberta and Yukon, Canada (ENFOR archival data, early 1980s)","biomes":["boreal"]},"fit":{"n_trees":201,"dbh_min_cm":2.5,"dbh_max_cm":39,"r2":0.97,"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":"Lodgepole pine bwood1 0.0475","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bwood2 2.5437","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bbark1 0.0186","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bbark2 2.0807","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bbranches1 0.0198","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bbranches2 2.1287","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bfoliage1 0.0432","locator":"Table 3, Lodgepole pine"},{"field":"expression","quote":"bfoliage2 1.7166","locator":"Table 3, Lodgepole pine"},{"field":"fit.n_trees","quote":"Lodgepole pine         201     15.0±0.6     12.7±0.4      99.0±8.8","locator":"Table 2 (No. of trees)"},{"field":"fit.dbh_min_cm","quote":"(2.5;39.0)   (2.5;25.9)    (0.8;694.4)","locator":"Table 2, Lodgepole pine (ranges of dbh, height, total biomass)"},{"field":"fit.r2","quote":"Total 0.0357 0.97 21.6 3.00 0.0273 0.98 17.8 2.89","locator":"Table 5, Lodgepole pine (AdjRSq in the dbh-based set, first block)"},{"field":"taxon","quote":"Lodgepole pine Pin lodgepole Pinus contorta var. latifolia Engelm.","locator":"Appendix B, Table B1"}],"check":[{"inputs":{"D":20},"expected":125.369,"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."}