Table 1. Equations used to estimate some in vitro parameters and their derivatives No. Equations Source 1 SCFA = 0.0222 GP-0.00425 Getachew et al., 2002 2 PF = DMD (mg)/ gas produced (ml) in vitro at 24h Getachew et al., 1998 3 ME = 2.20 + 0.136 Gas24h + 0.057CP + 0.0029CF2, for forage Menke and Stengass, 1988 feeds 4 ME = 1.06 + 0.157 GP + 0.084 CP + 0.22 CF - 0.081 CA for Menke and Stengass, 1988 concentrate feeds 5 OMD =148.8 + 8.89GP + 4.5CP(g/kg DM) + 0.651ash(g/kg DM) Menke et al., 1979 6 Gas yield = ml gas per g DM/g DMD Salem et al. (2013) and Elghandour et al. (2017) 7 MCP=mg DMD-(mL gas×2.2 mg mL-1), where 2.2 mg mL-1 is a Blümmel et al., 1997 stoichiometric factor which indicates mg of H, C, and O essential for the production of 1 mL of gas SCFA (mmol 200 mg-1 DM): short-chain fatty acids; DM: dry matter; GP: 24 h net gas production (mL 200 mg-1 DM); PF (mg/ml): partition factor; DMD (%DM): dry matter disappearance; ME (MJ/kg DM): metabolizable energy; CF: crude fiber; CA: crude ash (%DM); OMD (g/kg of OM): In vitro organic matter digestibility; MCP (mg g-1 DM): microbial crude protein Table 2. Equations used by CNCPS to calculate protein fractions (Higgs et al., 2015) Fraction Description Equation1 A1 Ammonia Ammonia × (SP/100) × (CP/100) A2 Soluble true protein SP × CP/100 − A1 B1 Insoluble true protein CP − (A1 − A2 − B2 − C) B2 Fibre-bound protein (NDICP − ADICP) × CP / 100 C Indigestible protein ADICP × CP / 100