Local rate density. In the left-hand panel, the solid red (respectively dashed orange) line shows the posterior probability density on the total local rate density, R₀, of SGRBs with a luminosity L > 10⁴⁴ erg s⁻¹ (which encompasses all viewing angles) from our analysis using the full (respectively flux-limited) sample. The grey shaded band shows the constraint on the local rate density of BNS mergers from GW observations, as derived in Abbott et al. (2023). In the right-hand panel, the solid red and dashed orange lines show the local rate density for events with a luminosity L > 10⁵⁰ erg s⁻¹ in our two analysis setups. For comparison, we show the corresponding local rate densities from W15 and G16 above the same minimum luminosity.