{"id":"morais-2014-vol-m1-gp","source":{"id":"morais-2014","citation":"Morais, V.A., Mello, J.M., Gomide, L.R., et al. (2014). Influence of diameter measuring height on the adjustment of volume and biomass equations of cerrado in Minas Gerais. Ciência e Agrotecnologia, 38(3), 230-239.","title":"Influence of diameter measuring height on the adjustment of volume and biomass equations of cerrado in Minas Gerais","authors":["Morais, V.A.","Mello, J.M.","Gomide, L.R."],"year":2014,"venue":"Ciência e Agrotecnologia","doi":"10.1590/s1413-70542014000300002","url":"https://doi.org/10.1590/s1413-70542014000300002","read_url":"https://www.scielo.br/j/cagro/a/GmNTJwsTrNFjgqbmyTQp8MM/?lang=en&format=pdf","access":"open","checked_at":"2026-11-02","status":"current","notes":"Only the DBH-based total volume models are captured. The D30 and 0.10 m diameter models (some printed without a sign on the intercept) and the biomass models (output not stated as aboveground) are not added."},"name":"Cerrado total volume with bark from DBH and height, Goal Programming (model 1)","output":{"quantity":"total_volume"},"expression":"exp(-9.79192 + 2.44091 * ln(D) + 0.46566 * ln(H))","published":{"expression":"exp(-9.79192 + 2.44091 * ln(DBH) + 0.46566 * ln(Ht))","units":{"DBH":"cm","Ht":"m"},"variables":{"DBH":"D","Ht":"H"},"output_unit":"m3"},"taxon":{"level":"mixed","name":"Cerrado sensu stricto and campo cerrado woody species (99 species)","group":"mixed"},"region":{"scope":"regional","countries":["BR"],"place":"20 forest fragments, Minas Gerais (Inventário Florestal de Minas Gerais)","biomes":["tropical"]},"stand":"natural","fit":{"n_trees":696,"method":"Goal Programming (lpsolve simplex) on ln-transformed Schumacher-Hall model"},"evidence":[{"field":"expression","quote":"Ln (Yi) = B0+ B1Ln(X1i) + B2Ln(X2i) ± Ln (Ɛi)","locator":"Eq. 1, p. 232"},{"field":"expression","quote":"Total volume with bark, model 1, GP: β0 -9.79192; β1 2.44091; β2 0.46566","locator":"Table 2, p. 234"},{"field":"input","quote":"DBH (1.30 meters from the soil)","locator":"Table 1, p. 232"},{"field":"fit.n_trees","quote":"adjustment data used for model adjustment [696 trees]","locator":"Methods, p. 233"}],"check":[{"inputs":{"D":10,"H":5},"expected":0.0326449,"origin":"computed","note":"computed from the Table 2 coefficients"},{"inputs":{"D":20,"H":8},"expected":0.220624,"origin":"computed","note":"computed from the Table 2 coefficients"}],"verification":"original_read","checked_at":"2026-11-02","notes":"Natural-log model as printed; the paper states no back-transformation correction factor, so none is applied. Volume is total volume with bark. Ht is total height. R² is the adjusted R² from the OLS rows (the paper leaves it blank for GP). The 868 trees were split into 696 for fitting and 172 for validation."}