(Supplementary Table 2) Coral element/Ca and stable isotope data, U-Th ages, and XRD results

* Sample ID Palaeo can be slightly different to the corresponding Sample ID Dating (Supplementary Table 1), as the dating sample in some cases is a subsample of a larger coral section that was sampled for palaeoclimate.** U-Th ages are reported as kyr before the present relative to AD 1950.*** U-Th age represents the mean of 2 datings, the error given here is the range of the two datings.**** Results of powder X-ray diffraction (XRD) analysis.The coral reference material JCp-1 was used to correct for inter-laboratory offsets. The JCp-1 reference compositions used in this study are 8.781 mmol mol**-1 for Sr/Ca, -4.75 per mil for d18O, 4.252 mmol mol**-1 for Mg/Ca, and -1.58 per mil for d13C.The corals are massive and robust/branching Isopora palifera/cuneata colonies.