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We constrain the mean kinetic efficiency of radio-loud active galactic nucleiby using an optically selected sample for which both the optical and the radioluminosity functions (LFs) have been determined; the former traces thebolometric luminosity L, while the latter traces the kinetic power L_k,empirically correlated to the radio emission. Thus in terms of the ratiog_k=L_k/L, we can convert the optical LF of the sample into a radio one. Thiscomputed LF is shown to match the directly observed LF for the same sample ifg_k=0.10^{+0.05}_{-0.01} holds, with a scatter \sigma=0.38^{+0.04}_{-0.09} dex;with these values we also match a number of independent correlations betweenL_k, L and radio emission, that we derive through Monte Carlo simulations. Weproceed to translate the value of g_k into a constraint on the kineticefficiency for the production of radio jets or winds, namely,\epsilon_k=L_k/(Mdot*c^2)~0.01 in terms of the rate Mdot of mass accretion ontothe central black hole. Then, on assuming that on average the radio sourcesshare the same kinetic efficiency, we compute a solid lower limit of about 25%on the contribution of radio sources to the local black hole mass density.

The Optical-Radio Mapping: the kinetic efficiency of Radio-Loud AGNs