Left: distributions of Poisson burst rate for various simulated intrinsic populations, including a single value (blue), a log-normal distribution (orange), and a mix of single values and one-offs (green). Right: repeater fraction f_rep, defined as the number of detected repeating sources over the total number of detected sources against time. The various line styles represent the detections from a perfect survey with an S/N cut-off with either a perfect beam pattern (solid), or a CHIME-like beam pattern (dotted).