Deep-sea benthic foraminifera carbon isotopes (δ 13 C benthic ) reflect the dissolved inorganic carbon composition (δ 13 C DIC ) of the surrounding water column during calcification (e.g., De Vleeschouwer et al., 2020). On orbital time scales (10 4 -10 7 years), δ 13 C benthic is controlled by multiple factors. For example, when terrestrial biomass shrinks, an increase in net 12 C flux from the continents to the oceans can occur, resulting in lowered marine δ 13 C DIC (e.g., De Vleeschouwer et al., 2020). Deep-sea benthic foraminifera oxygen isotopes (δ 18 O benthic ) primarily reflect the variability of the deep-sea temperature and changes in global ice volume (e.g., Lisiecki & Raymo, 2005;Zachos et al., 2001). In combination, therefore, δ 13 C benthic and δ 18 O benthic data can provide insights into the processes of climate-carbon cycle interactions in the past.From the Cretaceous/Paleogene boundary (66 Ma) to the Middle Miocene, δ 13 C benthic and δ 18 O benthic were in phase at the 100 kyr eccentricity period (Kirtland Turner, 2014;Ma et al., 2020), and this could be attributed to carbon storage in terrestrial vegetation (Kirtland Turner, 2014) or terrigenous carbon inputs and associated with nutrient-biological pumping (Ma et al., 2020). Recently, De Vleeschouwer et al. (2020) investigated climate-carbon cycle interactions on orbital time scales over the past 35 Ma. Their results revealed that δ 13 C benthic and δ 18 O benthic were in-phase behavior in the interval of 35-6 Ma at the 100-kyr eccentricity scale, but show an anti-phase relationship after 6 Ma. The mechanisms that controlled the phase relationship of δ 13 C benthic and δ 18 O benthic are very complex, involving ocean ventilation, ocean productivity, changes in the terrestrial biosphere, burial of organic matter in the ocean, ocean-atmosphere partitioning of CO 2 ,