Fast radio bursts are extragalactic, sub-millisecond radio impulses of unknown origin 1,2 . Their dispersion measures, which quantify the observed frequency-dependent dispersive delays in terms of free-electron column densities, significantly exceed predictions from models 3 of the Milky Way interstellar medium. The excess dispersions are likely accrued as fast radio bursts propagate through their host galaxies, gaseous galactic halos and the intergalactic medium 4,5 . Despite extensive follow-up observations of the published sample of 72 burst sources 6 , only two are observed to repeat 7,8 , and it is unknown whether or not the remainder are truly one-off events. Here I show that the volumetric occurrence rate of so far non-repeating fast radio bursts likely exceeds the rates of candidate cataclysmic progenitor events, and also likely exceeds the birth rates of candidate compact-object sources. This analysis is based on the high detection rate of bursts with low dispersion measures by the Canadian Hydrogen Intensity Mapping Experiment 9 . Within the existing suite of astrophysical scenarios for fast radio burst progenitors, I conclude that most observed cases originate from sources that emit several bursts over their lifetimes.Thirteen fast radio bursts (FRBs) were published by the Canadian Hydrogen Intensity Mapping Experiment (CHIME) collaboration, including one repeating source (FRB 180814.J0422+73) that I exclude from my analysis 8,9 (see Methods). These events were detected during a pre-commissioning phase when the instrument was not operating with its full sensitivity and field of view. The survey was conducted over less than 7.82×10 −5 sky-years, implying an all-sky FRB rate floor of 300 day −1 in the 400−800 MHz CHIME frequency band. Despite the systematic uncertainties, this is an order of magnitude greater than the rate of bright FRBs detected with the Australian Square Kilometre Array Pathfinder (ASKAP) 10 . Additionally, although the ASKAP FRBs typically have lower excess dispersion measures (DMs) than FRBs detected with the more sensitive Parkes telescope, CHIME has a more than ten times higher detection rate than ASKAP at low excess DMs (Figure 1). This motivated the present analysis of the volumetric occurrence rate of FRBs.The paucity of direct distance measurements for FRBs, based for example on observations of FRB host galaxies, has meant that FRB volumetric-rate estimates have relied on ascribing dominant fractions of the excess DMs to the intergalactic medium (IGM) 1,11 . I define the extragalactic DM, DM X , as the difference between FRB DMs and predictions from models 3 of the Milky Way interstellar medium (DM MW ). If FRB DM X values were entirely built up from a homogeneous IGM comprising all cosmic baryons, the DM X range of the CHIME sample of 79-979 pc cm −3 would correspond to a comoving distance range of 0.34−2.52 Gpc [4]. This assumption, together with a host-galaxy contribution to DM X of 100 pc cm −3 , was previously applied to an early sample of four FRBs from the Parkes telesco...