Evolution of the bolometric infrared luminosity function with redshift. Upper panel: bolometric LF at z = 0 (solid line), z = 0.5 (dot line), z = 1 (dashed line), z = 1.5 (dot-dash line), z = 2 (3-dot-dash line), and z = 3 (long dashed line). Lower panel: Evolution of the L _⋆  (red solid line) and φ _⋆  (blue dot-dash line) parameter as a function of redshift and 1-σ confidence region. The measurement of L _⋆  by Caputi et al. (2007) (triangles) using 24 μm obervations and Magnelli et al. (2009) (diamonds) using 70 μm observations are plotted in red. The measurement of φ _⋆  by Caputi et al. (2007) (cross) and Magnelli et al. (2009) (square) are in blue.