{"id":"pienaar-2025-total-eq10","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 total aboveground from DBH²H (Eq. 10)","output":{"quantity":"agb"},"expression":"1.03 * exp(-2.31 + 0.817*ln(D^2*H))","published":{"expression":"1.03 * exp(-2.31 + 0.817*ln(DBH^2*H))","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":{"n_trees":20,"dbh_min_cm":10.4,"dbh_max_cm":38.9,"h_min_m":10.88,"h_max_m":25.52,"r2":0.89,"cf":1.03,"method":"ln-ln linear regression (R lm), Baskerville correction factor"},"evidence":[{"field":"expression","quote":"Total, Eq. 10, Ln(DBH2H): β0 = -2.31, β1 = 0.817, CF = 1.03","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 = 0.89","locator":"Table 3"},{"field":"fit.n_trees","quote":"A total of 20 Radiata pine trees were felled for biomass across 4 sites in the Boland region","locator":"Section 2 (Materials and methods)"},{"field":"fit.dbh_min_cm","quote":"the sample trees in this study range from 10.4 cm to 38.9 cm","locator":"Discussion"},{"field":"fit.h_min_m","quote":"DBH (cm) 20 38.9 10.4 24.5 8.3; H (m) 20 25.52 10.88 16.78 3.89 (n, Max, Min, Mean, SD)","locator":"Table 1, Upscaling II"}],"check":[{"inputs":{"D":15,"H":14},"expected":73.7457,"origin":"computed","note":"computed from the published form"},{"inputs":{"D":30,"H":22},"expected":331.1254,"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. Sum of the component models underestimates this total for large trees (paper, Biomass estimation section). Biomass is oven-dry mass. Eq. 10 is the authors' best model for stemwood and total."}