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We examine the relationship between source radio luminosity and kinetic powerin Active Galactic Nucleus (AGN) jets. We show that neglecting various lossprocesses can introduce a systematic bias in the jet powers inferred from radioluminosities for a sample of radio galaxies. This bias can be corrected for byconsidering source size as well as radio luminosity; effectively the sourcesize acts as a proxy for source age. Based on a sample of FR-II radio sourceswith jet powers derived from the measured hotspot parameters, we empiricallydetermine a new expression for jet power that accounts for the source size,Q_jet / 10^{36} W = 1.5 (L_151 / 10^{27} W/Hz)^{0.8} (1+z)^{1.0} (D /kpc)^{0.58 \pm 0.17}, where D is source size and L_151 the 151 MHz radioluminosity. By comparing a flux-limited and volume-limited sample, we show thatany derived radio luminosity - jet power relation depends sensitively on sampleproperties, in particular the source size distribution and the size-luminositycorrelation inherent in the sample. Such bias will affect the accuracy of thekinetic luminosity function derived from lobe radio luminosities and should betreated with caution.

Size dependence of the radio luminosity - mechanical power correlation in radio galaxies