{"id":"feldpausch-2012-weibull-africa","source":{"id":"feldpausch-2012","citation":"Feldpausch, T. R., Lloyd, J., Lewis, S. L., et al. (2012). Tree height integrated into pantropical forest biomass estimates. Biogeosciences, 9, 3381–3403.","title":"Tree height integrated into pantropical forest biomass estimates","authors":["Feldpausch, T. R.","Lloyd, J.","Lewis, S. L."],"year":2012,"venue":"Biogeosciences","doi":"10.5194/bg-9-3381-2012","url":"https://doi.org/10.5194/bg-9-3381-2012","read_url":"https://bg.copernicus.org/articles/9/3381/2012/bg-9-3381-2012.pdf","access":"open","license":"CC BY 3.0","checked_at":"2026-11-01","status":"current"},"name":"Africa Weibull height–diameter model","output":{"quantity":"height"},"expression":"50.096 * (1 - exp(-0.03711 * D^0.8291))","published":{"expression":"50.096 * (1 - exp(-0.03711 * D^0.8291))","units":{"D":"cm"},"output_unit":"m"},"taxon":{"level":"mixed","name":"Tropical forest trees (permanent plots)","group":"mixed"},"region":{"scope":"continental","countries":[],"place":"Africa (C., E. and W. Africa plots)","biomes":["tropical"]},"stand":"natural","fit":{"n_trees":11910,"dbh_min_cm":10,"method":"nonlinear Weibull H:D fit"},"evidence":[{"field":"expression","quote":"H = a(1 − exp(−bD^c))","locator":"Eq. 5, p. 3387"},{"field":"published.units","quote":"Coefficients for Weibull-H region-, continent-specific and pantropical models (H = a(1−exp(−bD^c))) to estimate tree height (H, m) from diameter (D, cm) ≥ 10 cm in pantropical forests","locator":"Table 3 caption, p. 3393"},{"field":"fit.n_trees","quote":"Africa 50.096 0.03711 0.8291 5.739 75 422 11 910","locator":"Table 3 (columns a, b, c, RSE, AIC, n), p. 3393"}],"check":[{"inputs":{"D":30},"expected":23.22,"origin":"computed","note":"computed with python3 from the published form"},{"inputs":{"D":80},"expected":37.79,"origin":"computed","note":"computed with python3 from the published form"}],"verification":"original_read","checked_at":"2026-11-01","notes":"Weibull height–diameter model; RSE 5.739 m (on the height scale, not log scale, so not stored in fit.rse). Fitted on concurrent H and D measurements in permanent plots, trees ≥ 10 cm D; the paper gives no maximum D for this fit. Table 3 footnote: models adapted from the pantropical H:D database of Feldpausch et al. (2011)."}