{"id":"tiralla-2013-h-gliricidia","source":{"id":"tiralla-2013","citation":"Tiralla, N., Panferov, O., & Knohl, A. (2013). Allometric relationships of frequently used shade tree species in cacao agroforestry systems in Sulawesi, Indonesia. Agroforestry Systems, 87, 857-870.","title":"Allometric relationships of frequently used shade tree species in cacao agroforestry systems in Sulawesi, Indonesia","authors":["Tiralla, N.","Panferov, O.","Knohl, A."],"year":2013,"venue":"Agroforestry Systems","doi":"10.1007/s10457-013-9602-4","url":"https://doi.org/10.1007/s10457-013-9602-4","read_url":"https://link.springer.com/article/10.1007/s10457-013-9602-4","access":"open","checked_at":"2026-11-02","status":"current"},"name":"Gliricidia sepium height from D (non-rectangular hyperbola, Table 3)","output":{"quantity":"height"},"expression":"0.5 * (1.0901 * D + 10.941 - sqrt((1.0901 * D + 11.0)^2 - 4 * 1.0901 * D * 10.941))","published":{"expression":"0.5 * (1.0901 * DBH + 10.941 - sqrt((1.0901 * DBH + 11.0)^2 - 4 * 1.0901 * DBH * 10.941))","units":{"DBH":"cm"},"variables":{"DBH":"D"},"output_unit":"m"},"taxon":{"level":"species","name":"Gliricidia sepium","family":"Fabaceae","group":"broadleaf"},"region":{"scope":"site","countries":["ID"],"place":"Bulili, Kecamatan Palolo, Central Sulawesi (shade trees in cacao agroforestry)","biomes":["tropical"]},"stand":"agroforestry","fit":{"n_trees":28,"dbh_min_cm":7,"dbh_max_cm":44.1,"h_min_m":7.3,"h_max_m":12.9,"method":"non-rectangular hyperbola (Thornley 1976), maximum height fixed at 11 m"},"evidence":[{"field":"expression","quote":"y = 0.5 x (a x x + b - sqrt((a x x + c)^2 - 4 x a x x x b)); H on DBH: a 1.0901, b 10.941, c 11.0, r 0.722","locator":"Table 3"},{"field":"fit.n_trees","quote":"28 G. sepium trees","locator":"Field measurements"}],"check":[{"inputs":{"D":10},"expected":10.1175,"origin":"computed","note":"computed from the published form (coefficients as printed)"},{"inputs":{"D":30},"expected":10.882,"origin":"computed","note":"computed from the published form (coefficients as printed)"}],"verification":"original_read","checked_at":"2026-11-02","notes":"Formula typeset exactly as in the Table 3 caption. Authors state the best fit was obtained with maximum height fixed at 11 m (c = 11.0). Only a multiple correlation coefficient (r = 0.722) is given, not R2, so none is recorded."}