sSFR as a function of stellar mass at various redshifts. Solid lines: our results based on the abundance matching technique (we use dashed lines at z ≤ 0.3 where neglecting the quiescent galaxies have a significant impact, see Sect. 5). Filled squares: measurements from Karim et al. (2011) obtained by radio stacking at z = 0.3, 0.5, 0.7, 0.9, 1.1, 1.4, 1.8, and 2.25. Filled diamonds: measurement from Rodighiero et al. (2010) obtained by Herschel/PACS stacking at z = 0.25, 0.75, 1.25, and 1.75. Filled circles: measurements from Bauer et al. (2011) obtained using UV measurements at z = 1.75 and 2.25. Filled triangles: measurements of Oliver et al. (2010) from Spitzer/MIPS stacking at z = 0.1, 0.3, 0.5, 0.7, 0.9, 1.1, 1.35, 1.75. The error bars have not been plotted for clarity, but they roughly match the symbol size. Thin-dashed and dotted lines are the limits between the normal and LIRG (luminous infrared galaxies, 10¹¹   L_⊙ < L_IR < 10¹²   L_⊙), and the LIRG and ULIRG (ultra luminous infrared galaxies, L_IR > 10¹²   L_⊙) regime, respectively.