Cosmic evolution of the kinetic luminosity density for our radio AGN. The kinetic luminosity density was derived using Eq. (5), and the Willott et al. (1999) relation between monochromatic (1.4 GHz rest-frame) radio luminosity and kinetic luminosity (Eq. (4)) with f_W = 4 (pure luminosity evolution, PLE, model: blue full curve and blue shaded area showing the 1σ uncertainty), f_W = 15 (purple full curve, and purple-hatched area showing the 1σ uncertainty), and f_W = 1, and 20, with folded 1σ fitting errors (lower and upper gray dashed curves, respectively). Also shown is the kinetic luminosity density assumed in the SAGE semi-analytic cosmological model (green dash-dotted curve; Croton et al. 2016). For comparison, the evolution of the kinetic luminosity density for our radio AGN for the pure density evolution, PDE, model using only f_W = 4 (Eq. (A.1)) is also shown with the red full curve and red hatched area. To avoid overcrowding the panel, the PDE result for f_W = 15 is not shown, but it would be only systematically higher compared to the f_W = 4 PDE model result and coincident with that for PLE with the corresponding f_W = 15 value. See also Fig. A.2 for results based on other scaling relations.