Top: euclidean-normalized differential number counts of extragalactic sources at 100 μm from Berta et al. (2010). The cyan short-dashed line are the LIRG and the red long-dashed line the ULIRG populations. Black dotted and green dot-dash lines are the normal spiral and type-1 AGN sources. Bottom: differential number counts of extragalactic sources at 160 μm compared with our model fit. The red open square and blue open circle datapoints are from Berta et al. (2010) and Berta et al. (2011), respectively, while the small green open squares are a re-analysis of the Spitzer/MIPS data by Bethermin et al. (2010). Black triangles are from Magnelli et al. (2013). The lines are our model fits and population decomposition (see Sect. 3).