International audienceThe IPCC Special Report on 1.5 °C concluded that anthropogenic global warming is determined by cumulative anthropogenic CO 2 emissions and the non-CO 2 radiative forcing level in the decades prior to peak warming. We quantify this using CO 2 -forcing-equivalent (CO 2 -fe) emissions. We produce an observationally constrained estimate of the Transient Climate Response to cumulative carbon Emissions (TCRE), giving a 90% confidence interval of 0.26–0.78 °C/TtCO 2 , implying a remaining total CO 2 -fe budget from 2020 to 1.5 °C of 350–1040 GtCO 2 -fe, where non-CO 2 forcing changes take up 50 to 300 GtCO 2 -fe. Using a central non-CO 2 forcing estimate, the remaining CO 2 budgets are 640, 545, 455 GtCO 2 for a 33, 50 or 66%...