“…Averages of benthic foraminiferal δ 13 C time series, called stacks, can improve the signal-to-noise ratio of regional or global seawater changes (e.g., Lisiecki et al, 2008;. Global mean benthic δ 13 C change is likely caused by changes in terrestrial organic carbon storage (Shackleton, 1977;Curry et al, 1988;Duplessy et al, 1988;Ciais et al, 2012;Peterson et al, 2014), while vertical δ 13 C gradients may record changes in deep ocean carbon storage and atmospheric CO 2 Flower et al, 2000;Hodell et al, 2003b;Lisiecki, 2010). The vertical δ 13 C gradient between the surface (high δ 13 C) and deep ocean (low δ 13 C) primarily results from the accumulation of low-δ 13 Crespired organic carbon in deep water, which temporarily sequesters it from the atmosphere.…”