{"id":"pienaar-2025-branch-eq8","source":{"id":"pienaar-2025","citation":"Pienaar, L. O., Calama, R., Olivar, J., et al. (2025). Allometric equations for biomass and carbon pool estimation in short rotation Pinus radiata stands of the Western Cape, South Africa. European Journal of Forest Research, 144, 855–873.","title":"Allometric equations for biomass and carbon pool estimation in short rotation Pinus radiata stands of the Western Cape, South Africa","authors":["Pienaar, L. O.","Calama, R.","Olivar, J."],"year":2025,"venue":"European Journal of Forest Research","doi":"10.1007/s10342-024-01730-9","url":"https://doi.org/10.1007/s10342-024-01730-9","read_url":"https://link.springer.com/article/10.1007/s10342-024-01730-9","access":"open","license":"CC BY 4.0","checked_at":"2026-11-02","status":"current"},"name":"Radiata pine branch from DBH (Eq. 8)","output":{"quantity":"branch_biomass"},"expression":"1.093 * exp(-3.432 + 2.09*ln(D))","published":{"expression":"1.093 * exp(-3.432 + 2.09*ln(DBH))","units":{"DBH":"cm","H":"m"},"variables":{"DBH":"D"},"output_unit":"kg"},"taxon":{"level":"species","name":"Pinus radiata","family":"Pinaceae","group":"conifer"},"region":{"scope":"regional","countries":["ZA"],"place":"Boland region, Western Cape, South Africa","biomes":["temperate"]},"stand":"plantation","fit":{"dbh_min_cm":10.4,"dbh_max_cm":38.9,"r2":0.7,"cf":1.093,"method":"ln-ln linear regression (R lm), Baskerville correction factor"},"evidence":[{"field":"expression","quote":"Branch, Eq. 8, Ln(DBH): β0 = -3.432, β1 = 2.09, CF = 1.093","locator":"Table 3"},{"field":"expression","quote":"ln (Y) = β0 + β1ln(X1) + ⋯ + βjln(Χj) needs to be multiplied by the CF to transform the values to the arithmetic scale","locator":"Table 3 footnote"},{"field":"fit.r2","quote":"R2 = 0.7","locator":"Table 3"},{"field":"fit.dbh_min_cm","quote":"the sample trees in this study range from 10.4 cm to 38.9 cm","locator":"Discussion"}],"check":[{"inputs":{"D":15,"H":14},"expected":10.1427,"origin":"computed","note":"computed from the published form"},{"inputs":{"D":30,"H":22},"expected":43.1822,"origin":"computed","note":"computed from the published form"}],"verification":"original_read","checked_at":"2026-11-02","notes":"Natural-log model; correction factor CF = exp(RSE²/2) (Baskerville) as printed in Table 3 is applied in the expression. H is total tree height (m). Stand-level site: 4 plantation sites aged 13 to 20 years. Needle and branch tree-level totals come from branch-level upscaling; two outliers were removed, leaving 18 trees, so n is not entered here. Biomass is oven-dry mass. Eq. 10 is the authors' best model for stemwood and total."}