{"id":"dong-2018-birch-ms3-total","source":{"id":"dong-2018","citation":"Dong, L., Zhang, L., & Li, F. (2018). Additive Biomass Equations Based on Different Dendrometric Variables for Two Dominant Species (Larix gmelini Rupr. and Betula platyphylla Suk.) in Natural Forests in the Eastern Daxing'an Mountains, Northeast China. Forests, 9(5), 261.","title":"Additive Biomass Equations Based on Different Dendrometric Variables for Two Dominant Species (Larix gmelini Rupr. and Betula platyphylla Suk.) in Natural Forests in the Eastern Daxing'an Mountains, Northeast China","authors":["Dong, L.","Zhang, L.","Li, F."],"year":2018,"venue":"Forests","doi":"10.3390/f9050261","url":"https://doi.org/10.3390/f9050261","read_url":"https://www.mdpi.com/1999-4907/9/5/261/htm","access":"open","license":"CC BY 4.0","checked_at":"2026-11-02","status":"current"},"name":"White birch total (above + below ground) biomass from D and H (MS-3) (sum of components, Table 6)","output":{"quantity":"total_biomass"},"expression":"exp(-3.2954 + 1.9718 * ln(D) + 0.3931 * ln(H)) + exp(-3.4046 + 2.0371 * ln(D) + 0.7708 * ln(H)) + exp(-5.5895 + 3.1021 * ln(D) - 0.0867 * ln(H)) + exp(-3.9626 + 3.097 * ln(D) - 1.2009 * ln(H))","published":{"expression":"exp(-3.2954) * D^1.9718 * H^0.3931 + exp(-3.4046) * D^2.0371 * H^0.7708 + exp(-5.5895) * D^3.1021 * H^(-0.0867) + exp(-3.9626) * D^3.097 * H^(-1.2009)","units":{"D":"cm","H":"m"},"output_unit":"kg"},"taxon":{"level":"species","name":"Betula platyphylla","family":"Betulaceae","group":"broadleaf"},"region":{"scope":"regional","countries":["CN"],"place":"Eastern Daxing'an Mountains, Heilongjiang, northeast China","biomes":["boreal","montane"]},"stand":"natural","fit":{"n_trees":108,"dbh_min_cm":1.4,"dbh_max_cm":20.5,"h_min_m":3.1,"h_max_m":21,"method":"seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2"},"evidence":[{"field":"expression","quote":"Wa = Ws + Wb + Wf + εa; Wt = Wr + Ws + Wb + Wf + εt","locator":"Eq. (14), additive constraints"},{"field":"fit.n_trees","quote":"138 Dahurian larch trees and 108 white birch trees were destructively sampled","locator":"Section 2.2"}],"check":[{"inputs":{"D":4,"H":5},"expected":3.4492,"origin":"computed","note":"computed from the published form (coefficients as printed)"},{"inputs":{"D":10,"H":11},"expected":37.0597,"origin":"computed","note":"computed from the published form (coefficients as printed)"},{"inputs":{"D":18,"H":17},"expected":167.889,"origin":"computed","note":"computed from the published form (coefficients as printed)"}],"verification":"original_read","checked_at":"2026-11-02","notes":"White birch, MS-3: the paper defines this total as the sum of its component equations (Eq. 14 constraints), with coefficients of the component rows in Table 6; the expression is that sum, not a separately printed formula. Stem includes bark; roots exclude fine roots <5 mm."}