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Following previous work, we further confirm that the cosmic evolution ofsteep-spectrum radio-loud AGNs (active galactic nuclei) can be reproduced by asimple combination of density evolution (DE) and luminosity evolution (LE).This mixture evolution scenario can naturally explain the luminosity-dependentevolution of radio-loud AGNs. Our models successfully fitted a large amount ofdata on radio luminosity functions (RLFs) of steep-spectrum sources andmulti-frequency source counts. The modeling indicates that the DE slowlyincrease as $(1+z)^{0.3 \thicksim 1.3}$ out to $z \thicksim 0.8$, and thenrapidly decreases as $(1+z)^{-6.8 \thicksim -5.7}$, while the LE rapidlyincrease as $(1+z)^{4.8}$ out to a higher redshift (at least $z>3.5$). We finda high-redshift decline (i.e. redshift cutoff) in the number density ofsteep-spectrum radio sources, but we cannot conclude whether such decline issharp or shallow. We believe that whether a redshift cutoff occurs or notdepends mainly on DE, while its steepness is decided by LE, which, however,cannot be well constrained due to the lack of high-redshift samples. Mostintriguingly, according to our mixture evolution scenario, there appears to beno need for different evolution for the low- and high-power radio-loud AGNs.Both types of sources experience the same combined evolution of DE and LE.

A mixture evolution scenario of the AGN radio luminosity function. II. Do low- and high-power radio-loud AGNs evolve differently?