Predicted Pop III.1observed GRB rate. Those observed by Swift, dashed red line; SVOM, dot-dashed black line; JANUS, dotted blue line; and EXIST, green line. We adopt a GRB rate model that is consistent with the current upper limits from the radio transients; Gaussian IMF, v_wind = 50   km   s^-1, f_∗ = 0.1, f_GRB = 0.1.