Top row: Evolving distribution function of radio power at 150 MHz from our simulated galaxies, in which only the radio emission from CRe injected by star formation is considered. Bottom row: Evolving distribution function of radio power at 150 MHz from our simulated galaxies, in which only the radio emission from CRe injected by AGNs is considered. The dotted grey lines in the top rows give the best-fit relation of observed data with LOFAR, in the same redshift bins, from Cochrane et al. (2023) (top) and Kondapally et al. (2022) (bottom).