Transient rates as a function of luminosity distance for CCSN and GRB populations and their convolution with for a given value of (here 10⁵⁵ erg for illustration purposes). The black dashed line indicate the median distance in each case, and the green band marks the 5%–95% percentiles, namely, the 90% probable distance of the source. The red dashed lines represent the 5%–95% percentiles in the case of a transient rate with no redshift evolution.