{"id":"moore-2010-eq9","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. 9 (ln(D^2 H), its square)","output":{"quantity":"agb"},"expression":"exp(-1.1602 + 0.4859 * ln(D^2 * H) + 0.0219 * ln(D^2 * H)^2) * 1.096674","published":{"expression":"exp(-1.1602 + 0.4859 * ln(D^2 * H) + 0.0219 * ln(D^2 * H)^2) * 1.0281 * 1.0667","units":{"D":"cm","H":"m"},"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":0.2383,"cf":1.096674,"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 D2H + β3 (ln D2H)2 (9)","locator":"Section 2.2, Eq. 9"},{"field":"expression","quote":"–1.1602 | 0.4859 | 0.0219","locator":"Table II, row Eq. 9 (parameter estimates)"},{"field":"fit.cf","quote":"1.0281 | 1.0667","locator":"Table III, row Eq. 9 (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. 9"}],"check":[{"inputs":{"D":10,"H":9},"expected":25.8093,"origin":"computed","note":"hand-computed from the published form"},{"inputs":{"D":25,"H":20},"expected":236.2065,"origin":"computed","note":"hand-computed from the published form"},{"inputs":{"D":50,"H":35},"expected":1476.1223,"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."}