Supplement to: Grant, Georgia Rose; Naish, Timothy R; Dunbar, Gavin B; Stocchi, Paolo; Kominz, Michelle A; Kamp, Peter J; Tapia, C A; McKay, Robert M; Levy, Richard H; Patterson, Molly O (2019): The amplitude and origin of sea-level variability during the Pliocene epoch. Nature, https://doi.org/10.1038/s41586-019-1619-z