{"id":"moore-2010-eq4","source":{"id":"moore-2010","citation":"Moore, J. R. (2010). Allometric equations to predict the total above-ground biomass of radiata pine trees. Annals of Forest Science, 67(8), 806.","title":"Allometric equations to predict the total above-ground biomass of radiata pine trees","authors":["Moore, J. R."],"year":2010,"venue":"Annals of Forest Science","doi":"10.1051/forest/2010042","url":"https://doi.org/10.1051/forest/2010042","read_url":"https://hal.science/hal-00883629","access":"open","checked_at":"2026-11-02","status":"current"},"name":"Radiata pine total AGB, log model Eq. 4 (ln D, (ln D)^2)","output":{"quantity":"agb"},"expression":"exp(-0.5816 + 1.1240 * ln(D) + 0.2030 * ln(D)^2) * 1.113593","published":{"expression":"exp(-0.5816 + 1.1240 * ln(D) + 0.2030 * ln(D)^2) * 1.0273 * 1.084","units":{"D":"cm"},"output_unit":"kg"},"taxon":{"level":"species","name":"Pinus radiata","family":"Pinaceae","group":"conifer"},"region":{"scope":"national","countries":["NZ"],"place":"New Zealand (13 studies, mainly North Island)","biomes":["temperate"]},"stand":"plantation","fit":{"n_trees":637,"dbh_min_cm":0.7,"dbh_max_cm":80.6,"h_max_m":42.1,"r2":0.95,"rse":0.2332,"cf":1.113593,"method":"linear mixed-effects model on ln-transformed data, back-transformed with modified smearing estimate cf1 x cf2"},"evidence":[{"field":"expression","quote":"ln AGB = β0 + β1 ln D + β2 (ln D)2 (4)","locator":"Section 2.2, Eq. 4"},{"field":"expression","quote":"–0.5816 | 1.1240 | 0.2030","locator":"Table II, row Eq. 4 (parameter estimates)"},{"field":"fit.cf","quote":"1.0273 | 1.0840","locator":"Table III, row Eq. 4 (cf1 | cf2)"},{"field":"fit.n_trees","quote":"biomass measurements for 637 individual radiata pine trees from 13 different studies","locator":"Section 2.1"},{"field":"fit.r2","quote":"0.95","locator":"Table II, R2 column, Eq. 4"}],"check":[{"inputs":{"D":10},"expected":24.2977,"origin":"computed","note":"hand-computed from the published form"},{"inputs":{"D":25},"expected":190.057,"origin":"computed","note":"hand-computed from the published form"},{"inputs":{"D":50},"expected":1129.8071,"origin":"computed","note":"hand-computed from the published form"}],"verification":"original_read","checked_at":"2026-11-02","notes":"D in cm, H in m, AGB in kg, natural log (the paper defines ln as natural). Back-transformed with the modified smearing estimate exp(Xb) cf1 cf2 (Eq. 11); cf1 and cf2 are as printed in Table III and applied as their product. Fit ranges are the pooled data (Table I overall; the text says height from 1.47 m while Table I says 0.32 m, so no h_min given). rse is the RMSE column for the log models. In Eq. 9 the text labels the quadratic coefficient β3 but Table II lists it in the third parameter column."}