Main

Ice-core atmospheric CO2 records show ubiquitous millennial-scale fluctuations superimposed on longer-term glacial–interglacial cycles during the past 800 thousand years (ka)1,2,3,4. Ventilation of the carbon-rich deep ocean can critically affect atmospheric CO2 on various timescales5,6,7. A prevailing view8,9,10 to explain past rises in atmospheric CO2 invokes strengthened Southern Ocean ventilation, which facilitates carbon release from the deep ocean. On the basis of a process called the bipolar seesaw10,11, Antarctic ice-core temperature may be used to infer changes in southern westerly winds and, thus, Southern Ocean ventilation12 (see ref. 13 for further discussions). When Atlantic meridional overturning circulation (AMOC) weakens during stadials, Antarctica and surrounding regions warm up, accompanied by strengthened and/or poleward shift of southern westerlies, which would enhance deep-sea ventilation via the Southern Ocean and thereby increase atmospheric CO2 as seen in ice-core records6,8,10,11. Yet it remains unclear why atmospheric CO2 did not rise during many stadials despite clear Antarctic warmings2,3. The latest high-resolution atmospheric CO2 record, whose timing and magnitude can be firmly constrained by paired CH4 measurements from the same ice core, shows no net CO2 increase during a considerable number of stadials when the bipolar seesaw persistently operated3,14 (Extended Data Fig. 1). To fully understand the ocean–atmosphere carbon interactions, marine proxy records are required because they provide more direct clues about oceanic processes. The ocean interior is ventilated mainly by deep waters, including southern-sourced waters (SSWs) formed in the polar Antarctic Zone and northern-sourced waters (NSWs) formed in the North Atlantic. Published marine reconstructions15,16,17,18,19,20 yield valuable information about the signs of deep-sea ventilation changes related to SSWs, although how the relative ventilation strength varied between stadials, which is critical to understand magnitudes and rates of atmospheric CO2 changes, is yet to be assessed. Even less is known about the impacts on atmospheric CO2 from ventilation changes linked to NSW production rate and volumetric extent. In this Article, we investigate the role of deep Atlantic ventilation via the two polar regions in modulating deep-sea carbon storage and atmospheric CO2 variations on millennial timescales.

In this study, we use the term ventilation to describe effects on ocean interior dissolved inorganic carbon (DIC) driven by changes in air–sea CO2 exchange in the deep-water formation regions and respired carbon accumulation during water-mass transportation (Methods). We employ carbonate ion concentrations ([CO32−]; a parameter tightly linked to seawater pH and acidity) to constrain DIC variations with which to infer deep-sea ventilation states and thereby atmospheric CO2 changes19,21,22. Everything else being equal, enhanced Southern Ocean ventilation would reduce deep-sea DIC, raising deep-water [CO32−] and atmospheric CO2 (Supplementary Fig. 1). Conversely, increased respired carbon accumulation in the ocean interior, which could be driven by suppressed ventilation from either polar region, would decrease deep-water [CO32−] and atmospheric CO2 (refs. 9,15,23). Unfortunately, investigation of millennial-scale variations in deep-sea carbon storage—including their sign, magnitude and timing in relation to atmospheric CO2—is hampered by a paucity of high-quality [CO32−] records. Thus, high-resolution [CO32−] records with robust chronologies are warranted to better understand abrupt ocean ventilation mechanisms.

Benchmark [CO3 2−] record

In this Article, we present the first high-resolution deep-water [CO32−] record to span the entire last glacial cycle (Figs. 1 and 2). The record was obtained using core MD95-2039 (40.6° N, 10.3° W, 3,381 m) from the Iberian Margin in the North Atlantic, utilizing multifold advantages of sediments from this setting for palaeo-reconstructions (Extended Data Fig. 2 and Methods). Our [CO32−] record is reconstructed using B/Ca in benthic foraminifer Cibicidoides wuellerstorfi, with a reconstruction uncertainty (2σ) of ~10 μmol kg–1 (ref. 24). Altogether, 588 measurements were obtained, yielding an average temporal resolution of 256 years over the past 150 ka. We also constructed a robust chronology for MD95-2039 based on six radiocarbon dates and aligning of MD95-2039 Globigerina bulloides δ18O (δ18O = [(18O/16O)sample/(18O/16O)standard − 1] × 1,000‰; n = 1,257) to benchmark records25,26 (Extended Data Fig. 3). See Methods for details.

Fig. 1: Deep-water [CO32−] at site MD95-2039 from the Iberian Margin.
figure 1

a, North Greenland Ice Core Project (NGRIP) ice-core δ18O (ref. 25). b, G. bulloides δ18O (three-point-running mean) at MD95-2039 (orange; this study) and ODP 976 (olive26). c, Deep-water [CO32−] at MD95-2039 (this study). d, Compiled North Atlantic sediment Pa/Th, an AMOC strength proxy29,32,33. e, EDML ice-core δ18O (ref. 27), reflecting temperature changes in the Atlantic sector of Antarctica. f, Atmospheric CO2 (refs. 1,2,3,4). On the basis of temporal [CO32−] evolutions alongside direction and magnitude of contemporary atmospheric CO2 changes, we identify five ventilation modes during stadials (vertical colour bandings). ODP, ocean drilling program; EDML, European Project for Ice Coring in Antarctica (EPICA) ice core from Dronning Maud Land.

Fig. 2: Detailed view over 30–65 thousand years ago.
figure 2

a, Greenland NGRIP ice-core δ18O (ref. 25). b, G. bulloides δ18O (three-point-running mean) at MD95-2039 (orange; this study). c, Deep-water [CO32−] at MD95-2039 (this study). d, Compiled North Atlantic sediment Pa/Th, an AMOC strength proxy29,32,33. e, EDML ice-core δ18O (ref. 27), reflecting temperature changes in the Atlantic sector of Antarctica. f, Atmospheric CO2 (ref. 3). g, Deep-water [CO32−] at MD07-307617. The curved arrow indicates that the [CO32−] minimum at ~45 thousand years ago could be shifted to GS12 (Extended Data Fig. 6). h, εNd in cores ODP 1063 (triangles)29 and TNO57-21 (circles)45 from the North and South Atlantic, respectively. See Extended Data Fig. 2 for core locations. During Mode II stadials (yellow bandings), increases in [CO32−] before stadial terminations (c,g) suggest deep-sea carbon loss driven by strong Southern Ocean ventilation, conducive for large atmospheric CO2 increases (f). During Mode IV stadials (grey bandings), sustained low [CO32−] (c,g) indicate increased accumulation of respired carbon in the deep ocean driven by AMOC weakening (d), helping to explain the lack of any atmospheric CO2 rise (f). See text for details.

Figure 1 shows our [CO32−] record alongside ice-core δ18O and atmospheric CO2, all placed on the same chronology4,25,27, which is a prerequisite for confident comparisons of marine and ice-core records. This study focuses on stadial changes. Our record provides sufficient data to resolve striking [CO32−] fluctuations accompanied by diverse atmospheric CO2 changes during 25 stadials over the past 150,000 years. We use a Monte Carlo-style approach to identify major features associated with our [CO32−] and contemporaneous ice-core CO2 during the progress of stadials (Methods and Supplementary Figs. 27). On the basis of their [CO32−]-CO2 similarities and contrasts, the 25 stadials can be classified into 5 groups, leading us to infer 5 ocean ventilation modes and associated hydrographic changes in the two polar regions (Figs. 14). Note that our mode classification differs from those based on either ice-core28 or marine29 archives.

Fig. 3: Five modes of stadial ventilation.
figure 3

ae, Anomalies (Δ) in NGRIP ice-core δ18O25 (a), G. bulloides δ18O (b) and deep-water [CO32−] (c) at MD95-2039, atmospheric CO2 (d) and Antarctic EDML ice-core δ18O (e). Bold curves show probability maxima, with envelopes representing 2σ uncertainties. The combinations of [CO32−] (c) and atmospheric CO2 (d) evolutions define five ventilation modes (Modes I to V). The delayed atmospheric CO2 decline associated with Mode V may be due to age uncertainties (Supplementary Fig. 7). Data for HS11 shown in a (dashed curve) are from ODP 976 G. bulloides δ18O26 and adjusted by a factor of −3 to facilitate plotting. Note different y-axis scales, especially for atmospheric ΔCO2, between different modes. To assist comparison, records are normalized by the same approach to be plotted against the progress of stadials (x axis), with vertical dashed lines indicating start (0%) and end (100%) of the stadial. For clarity, only stacked changes are shown for Modes II (HS4–6, 7b) and IV (HS2, 3, 7a and 10; GS4, 6–8, 10–12, 16, 17 and 25). See Methods and Supplementary Figs. 27 for statistical details.

Fig. 4: Schematic illustrating five stadial ventilation modes involving both Southern Ocean and North Atlantic processes.
figure 4

a–e, Modes I to V. From Mode I to Mode V, the strength of Southern Ocean ventilation changes in sequence: very strong (a), strong (b), strong but geographically restricted (c), weak (d), very weak (e). Shading shows seawater [CO32−] anomalies (opposite changes expected for DIC) relative to pre-stadial conditions. Blue and grey arrows denote extents of volumes ventilated by SSW and NSW, respectively, with thicker curves indicating stronger ventilation. Dashed and solid curves indicate possible water-mass boundaries before and during stadials, respectively. Circle indicates the location of MD95-2039. Changes in Southern Ocean ventilation may be linked to fluctuations in southern westerly wind and Southern Ocean sea-ice cover (grey rectangles), affecting air–sea CO2 exchange (red arrows; thicker lines indicate stronger CO2 exchange). In addition, weakened AMOC would reduce ventilation and promote respired carbon accumulation in the deep ocean when southern ventilation was relatively weak (d,e). Thus, Southern Ocean and North Atlantic processes jointly govern ventilation modes and respired carbon storage of the ocean interior and thereby magnitudes and directions of atmospheric CO2 changes. SO, Southern Ocean.

Five modes of stadial ocean ventilation

We first assess Heinrich stadials (HSs) associated with ~40–55 ppm atmospheric CO2 rises at glacial terminations. During HS1 and HS11, our record shows early [CO32−] increases followed by decreases (Mode I; Fig. 3). On millennial timescales when the global alkalinity change is relatively minor30, a [CO32−] increase (decrease) probably reflects a DIC decrease (increase)22. The early [CO32−] increases and associated DIC decreases cannot be explained by northward expansion of carbon-rich SSW31. During these stadials, Pa/Th data29,32,33 indicate a slowdown of AMOC (Fig. 1d), which would promote respired carbon accumulation34 with an effect to decrease [CO32−] in the deep Atlantic. Nevertheless, reduced AMOC cooled the North Atlantic and, through the bipolar seesaw, warmed the Southern Ocean (Fig. 1a,e). This was probably accompanied by strengthening and/or poleward shifts of southern westerlies10,11,35, which would enhance deep-sea ventilation via the Southern Ocean as suggested by proxy and model results8,20,36,37. We thus ascribe our reconstructed DIC decreases at MD95-2039 during early stages of HS1 and HS11 to carbon losses driven by enhanced Southern Ocean ventilation (Fig. 4a), although we do not exclude other mechanisms9,12,38 such as a weakened biological pump that might also assist deep-sea carbon release. Our inferred Southern Ocean ventilation enhancement is supported by opal flux, radiocarbon and oxygenation data15,16,18,21,37,39. Moreover, the location of MD95-2039 suggests that our inferred Southern Ocean ventilation enhancement was sufficiently intense and far-reaching to reduce deep Atlantic carbon all the way up to 40° N. This may have resulted from particularly pronounced bipolar seesaw responses to substantial AMOC weakening at glacial terminations26,40,41 (Fig. 1d). Indeed, Antarctic ice-core records27 indicate that early HS1 and HS11 were accompanied by strongest warmings over the past 150 ka (Fig. 1e). By efficiently releasing deep-sea carbon and hence substantially increasing atmospheric CO2, marked Southern Ocean ventilation enhancement may have played a critical role in initiating and/or sustaining glacial terminations (Fig. 4a).

During late HS1, deep-water [CO32−] declined at MD95-2039, with lowest values occurring close to the peak of ice-rafted debris (IRD) deposition at the Iberian Margin42 (Fig. 1c and Extended Data Fig. 3). The associated DIC increase was due, at least partly, to increased accumulation of respired carbon due to further AMOC weakening as registered by Pa/Th in a nearby core43 (Extended Data Fig. 4). If so, our data imply a DIC increase in the Atlantic below ~3 km, which would slow atmospheric CO2 rise, consistent with ice-core data1. The late HS11 [CO32−] decline can also be attributed to further AMOC weakening, supported by a coeval benthic δ13C decrease at the Iberian Margin44 (Extended Data Fig. 4). Compared with late HS1, late HS11 was characterized by greater Antarctic warming and perhaps stronger deep-sea ventilation via the Southern Ocean10,11 (Fig. 1e). Although further investigation is needed, we speculate that a substantial deep-sea volume to the south of 40° N (latitude of MD95-2039) was well ventilated, which counteracted any increased carbon sequestration in the deep Atlantic volume north of ~40° N and thereby contributed to maintaining the high atmospheric CO2 rise rate throughout HS11.

Mode II stadials were characterized by ~5–15 ppm atmospheric CO2 rises at intermediate climate states (Figs. 13). During HS4–6 and 7b, deep-water [CO32−] at MD95-2039 underwent a brief decline followed by a net increase (Fig. 3). The initial [CO32−] decline and associated DIC rise may reflect increased biogenic matter respiration and/or northward expansion of carbon-rich SSW in the deep Atlantic, linked to AMOC slowdown29,32,33 (Fig. 2d). The subsequent [CO32−] increase and thus DIC decrease occurred significantly before stadial terminations. This timing lead cannot be ascribed to age uncertainties or bioturbation because a similar timing relationship is observed between C. wuellerstorfi B/Ca (used for deep-water [CO32−]) and G. bulloides δ18O (used for chronology) in the same core (Extended Data Fig. 5 and Methods). Existing εNd data29,45 show little sign of increased mixing of low-DIC NSW in the deep Atlantic within Mode II stadials (Fig. 2h). Given large Antarctic warming and sea-ice retreat in surrounding oceans10,11,27,36 (Fig. 2e), the DIC decrease can be readily explained by carbon loss owing to enhanced Southern Ocean ventilation. This is supported, within uncertainties, by independent deep South Atlantic [CO32−], radiocarbon and oxygenation reconstructions15,16,17,22,46 (Fig. 2g and Extended Data Figs. 6 and 7). The location of MD95-2039 suggests carbon losses from a sizeable mass of deep waters from the Southern Ocean to ~40° N, helping to explain the prominent atmospheric CO2 rises during Mode II stadials. Compared with the Mode I state, however, Southern Ocean ventilation enhancement during Mode II stadials appears to have been insufficiently intense to prevent the initial [CO32−] declines at MD95-2039 (Fig. 4b).

Although accompanied by ~15–20 ppm atmospheric CO2 rises, deep-water [CO32−] at MD95-2039 decreased and remained low during Mode III stadials, including the Younger Dryas (YD) and HS8 (Figs. 1 and 3). The YD occurred under relatively warm Antarctic conditions (like late HS11) during the last deglaciation, while HS8 stands as the longest stadial within Marine Isotope Stage (MIS) 5. During the YD, significant increases in deep-water [CO32−] and oxygen levels are observed, respectively, at sites TNO57-21 (41° S, 8° E, 4,981 m) and TNO57-13PC (53° S, 5° E, 2,848 m) from the South Atlantic15,47. Increases in deep-water [CO32−] and oxygenation are also documented at TNO57-21 during HS822 (Extended Data Fig. 8). These observations suggest that Southern Ocean ventilation during Mode III stadials was sufficiently vigorous to release carbon from the abyssal South Atlantic, in agreement with marked Antarctic warming and enhanced upwelling in the Antarctic Zone8,12,27 (Fig. 1e). The associated carbon releases would have contributed to contemporaneous atmospheric CO2 rises. Yet sustained low [CO32−] and hence high DIC in deep waters at MD95-2039 indicates that Southern Ocean ventilation did not strengthen enough to overcome the effects from respired carbon accumulation and/or increased mixing of carbon-rich SSW driven by AMOC reductions during the YD and HS8. Thus, relative to Modes I and II stadials, deep-sea carbon loss driven by enhancement of Southern Ocean ventilation remained geographically more restricted to the south of ~40° N during Mode III stadials (Fig. 4c).

For Mode IV, atmospheric CO2 generally displays muted net changes during Greenland stadials (GS) 4, 6–8, 10–12, 16, 17 and 25 and HS2, 3, 7a and 10 under intermediate climate states (Figs. 13). During these stadials, deep-water [CO32−] at MD95-2039 varied similarly to Mode III stadials, but no deep-water [CO32−] or oxygenation increase is seen at South Atlantic sites TNO57-21 and MD07-3076 (44° S, 14° W, 3,770 m)17,22 (Fig. 2g and Extended Data Figs. 6 and 7). These observations suggest that carbon loss via the Southern Ocean must have been restricted to relatively shallow Atlantic waters located to the south of 44° S (Fig. 4d). Nevertheless, the concurrent Antarctic warming (Fig. 2e)27 implies that Southern Ocean ventilation was possibly enhanced by some degree compared with pre-stadial conditions. Even considering potential complexities to link Antarctic temperature and Southern Ocean ventilation changes13, Antarctica warming would reduce Antarctic Zone sea-ice extent and SSW solubility pump efficiency. Thus, Southern Ocean changes probably promoted CO2 outgassing with an effect to increase deep Atlantic [CO32−] during Mode IV stadials. Although well-dated, high-resolution and paired εNd-[CO32−] reconstructions are desired, published deep Atlantic εNd records29,45 show no consistent variations during transitions into Mode IV stadials (Fig. 2h), arguing against increased mixing of low-[CO32−] SSW as an exclusive explanation for the observed [CO32−] declines at MD95-2039. We suggest that much of these [CO32−] declines and associated DIC rises must have been caused by increased accumulation of respired carbon driven by weakened AMOC29,32,33 (Fig. 2d), which is supported by model results31,48. Alongside DIC rises during many Mode IV stadials at South Atlantic site MD07-3076 (Fig. 2g), there appeared to be widespread sequestration of respiratory carbon, and hence nutrients, in the ocean interior driven by suppressed ventilation via the North Atlantic. By increasing ocean’s biological pump efficiency9,23, this would counteract the effect of carbon loss from the shallow Southern Ocean and thus curb atmospheric CO2 rises during Mode IV stadials (Fig. 4d). Indeed, published model simulations48 show increased atmospheric CO2 absorption by the North Atlantic owing to improved biological and solubility pump efficiencies during interstadial-to-stadial transitions under intermediate climate conditions (Extended Data Figs. 9 and 10).

Mode V is illustrated by a deep-water [CO32−] decrease at MD95-2039 during GS26 when atmospheric CO2 declined at the onset of the last glaciation (Figs. 1 and 3). A similar change may have occurred at HS9, but its age in core MD95-2039 is less certain. The observed [CO32−] decrease and thus DIC increase can be caused by increased respired carbon accumulation and/or northward SSW penetration linked to AMOC weakening (Fig. 1d). Different from Modes I–IV stadials, which were mechanistically related to bipolar seesaw processes11, both Antarctica and Greenland cooled during GS2625,27 (Fig. 1a,e). In a wider perspective, GS26 was characterized by a global cooling49, sea-ice expansion surrounding Antarctica and plausibly an equatorward shift of southern westerlies, which would suppress Southern Ocean ventilation10,12 and thus deep-sea carbon leakage. Moreover, concomitant North Atlantic solubility pump enhancement due to cooling25,27 would have promoted atmospheric CO2 sequestration in NSW. We therefore suggest that a bipolar synergy operated to lower atmospheric CO2 during GS26, providing a positive feedback to global cooling at the last glacial inception (Fig. 4e).

Bipolar control on millennial atmospheric CO2

Our [CO32−] reconstructions, alongside published data8,15,16, suggest Southern Ocean ventilation as a key factor to modulate millennial deep Atlantic carbon storage and atmospheric CO2 variations over the last glacial cycle (Figs. 14). Although based on data from the Iberian Margin for the sake of high-resolution reconstructions with robust chronologies, our inferred changes in Southern Ocean ventilation perhaps also affected carbon storage in the more voluminous deep Indo-Pacific oceans. Instead of a simple ‘on–off switch’, our data reveal that Southern Ocean ventilation modes varied in both strength and geographic extent among stadials (Fig. 4). Repeated millennial-scale enhancement of Southern Ocean ventilation appears to have been strong and often far-reaching, and thus helps explain relatively large atmospheric CO2 rises during many stadials, particularly those at glacial terminations (Modes I–III; Figs. 1 and 4). Conversely, suppressed Southern Ocean ventilation facilitated deep-sea carbon sequestration, contributing to lowering atmospheric CO2 during GS26 and possibly HS9 (Mode V; Figs. 1 and 4).

Importantly, our data underscore an indispensable but previously underappreciated role of North Atlantic ventilation in governing deep-sea carbon sequestration and atmospheric CO2. As demonstrated by Mode IV data and supported by models31,34,50, reduced ventilation via the North Atlantic, instead of the Southern Ocean, probably promoted respired carbon accumulation in the ocean interior (Figs. 2 and 4d). By improving the oceanic biological pump efficiency, the associated carbon accumulation would lower atmospheric CO2 (Supplementary Fig. 1), a mechanism widely invoked to explain atmospheric CO2 declines on glacial–interglacial timescales9,15,23,34,51 but largely overlooked on millennial timescales. In fact, all stadials appear to be accompanied by reduced deep-water [CO32−] at some point, indicative of pervasive influences of changes in North Atlantic ventilation because plausible Southern Ocean ventilation enhancements (except for Mode V) tend to raise deep Atlantic [CO32−] (Fig. 3). Our inferred effect on atmospheric CO2 is supported by model simulations48, which show increased North Atlantic CO2 absorption during all studied stadials (Extended Data Figs. 9 and 10). Under such conditions, if Southern Ocean CO2 outgassing is not strong enough, atmospheric CO2 could decrease. In other words, atmospheric CO2 is jointly affected by the relative influence of Southern Ocean outgassing and North Atlantic absorption. We thus propose that the interplay of ventilation via the two polar regions, namely a bipolar control, should be considered when evaluating diverse millennial atmospheric CO2 variations.

Our proposed bipolar control helps resolve a long-standing puzzle2 regarding mechanisms for disparate atmospheric CO2 responses among MIS 3 stadials. The persistent anti-phased temperature relationship between polar ice cores27 suggests sustained operation of the bipolar seesaw during MIS 3 (Fig. 2). One would expect10,11,12 enhanced Southern Ocean CO2 outgassing and thus atmospheric CO2 rises during all MIS 3 stadials, which is at odds with observations2,3 (Fig. 2). The lack of atmospheric CO2 rises during many stadials must indicate concomitant processes to offset CO2 outgassing from the Southern Ocean. Atmospheric CO2 is affected by carbon exchange with both ocean and land biosphere reservoirs, but how the terrestrial biosphere carbon changed during stadials remains poorly constrained2,41. Here we provide critical data evidence (Fig. 2) to demonstrate that respired carbon accumulation, driven by reduced North Atlantic ventilation31,48,50, at times cancelled or surpassed the effect of Southern Ocean outgassing, explaining the observations of little net change or even declines in atmospheric CO2 during some MIS 3 stadials.

In summary, our reconstructions reveal hitherto unrecognized bipolar ocean ventilation modes behind various types of rapid atmospheric CO2 changes during the past 150,000 years. Since the Industrial Revolution, the ocean has absorbed a substantial amount of atmospheric CO2 via high-latitude oceans in both hemispheres, helping to slow down global warming52. Given ongoing and possible future AMOC weakening53, it is imperative to fully understand how processes in polar oceans, including both the Southern Ocean and the North Atlantic, affect atmospheric CO2 and associated ocean acidification. Models used to quantify ocean carbon storage must simulate these processes and their interplay accurately. Our [CO32−] record—covering various types of stadials with robust chronologies throughout the last glacial cycle—can be employed by models to assess the relative importance of ventilation changes in the two polar regions under different climate conditions, with critical implications for future carbon cycling and climate changes.

Methods

The use of the term ‘ventilation’

To avoid confusion, we clarify the meaning of the term ‘ventilation’ in the context of the carbon cycle as discussed in the main text. In this study, we use ‘ventilation’ to describe DIC changes in the ocean interior related mainly to two processes: (1) air–sea CO2 exchange in the deep-water formation regions and (2) DIC changes related to respired carbon accumulation during the propagation of the water-mass signals (Supplementary Fig. 1). We use ‘ventilation’ as a shorthand to describe their combined effect on DIC in the ocean interior. Although we do not specifically distinguish the respective roles of the two processes (as under certain circumstances it is difficult to do so), it does not affect our conclusions in the main text.

To exemplify, everything else being equal, enhanced Southern Ocean ventilation would decrease DIC in the deep ocean by strengthened CO2 release associated with improved air–sea gas exchange in the deep-water formation regions surrounding Antarctica and/or by reduced respired carbon accumulation due to faster transport of SSW within the ocean (Supplementary Fig. 1). Reduced North Atlantic ventilation would increase deep Atlantic DIC via promoting accumulation of respired carbon due to a sluggish AMOC.

It is important to note that in our study an increased mixing proportion of SSW does not mean better ventilation via the Southern Ocean. For example, the deep Atlantic might be occupied by more SSW during the Last Glacial Maximum than during the Holocene, but ventilation via the Southern Ocean was probably reduced during the Last Glacial Maximum as suggested by proxy data15,16,18,51,54.

Core selection

We appreciate that the regions such as Southern Ocean and the Pacific Ocean can provide valuable information about deep-ocean ventilation histories due to their proximity to the deep-water formation sites surrounding Antarctica (for example, Antarctic Zone) or large volumes of high-DIC waters (for example, deep Pacific Ocean). However, millennial-scale reconstructions based on sediments from these regions may be complicated by chronological uncertainties, lack of sufficient benthic foraminiferal shells or low sedimentation rates. We chose to work on core MD95-2039 from the Iberian Margin for the following advantageous reasons. First, we can follow the established approach55 to construct a robust age model for the core, a prerequisite for high-confidence comparisons of marine and ice-core records. The Iberian Margin is arguably the best location in the world ocean to construct reliable chronologies for long time series of seawater property reconstructions. Second, the core location is characterized by high sediment-deposition rates, conducive for detailed reconstructions with minimal influence of bioturbation (Extended Data Fig. 3). Third, MD95-2039 presents as a sensitive location to investigate effects of water-mass changes on millennial atmospheric CO2 variations1,2,3,4 during well-documented and extensively studied MIS 3 when the NSW-SSW boundary is thought to be located proximal to the core’s water depth56,57. Fourth, the latitude of MD95-2039 makes it useful to constrain the geographic extent of the relative influence during stadials of ventilation from the Southern Ocean, which tends to increase deep-water [CO32−] due to outgassing, and via the North Atlantic, which tends to decrease [CO32−] due to enhanced biogenic matter respiration (Supplementary Fig. 1).

Samples and analyses

To ensure enough shells for analyses, about 30 cm3 of sediment for each sample (2 cm thickness) from core MD95-2039 was disaggregated in de-ionized water and was subsequently wet sieved through 63 μm sieves. About 10 shells of G. bulloides from each sample were picked from the 250–300 μm size fraction for δ18O measurements. The average analytical error is ~0.08‰ in δ18O. We compared data from overlapping depths and observed negligible analytical offset between new and published58 data, so new (n = 846) and published (n = 411) data (Fig. 1a) are combined for consideration.

We have measured six radiocarbon dates for the early Holocene and Bølling/Allerød periods (three dates for each period). About 400 shells of G. bulloides from the 300–355 μm size fraction (equivalent to ~4–6 mg CaCO3) were used for each measurement at Research School of Earth Sciences at the Australian National University (Supplementary Table 1).

To strengthen the robustness of our age model, we have generated new abundances of IRD (n = 152; >150 μm size fraction) and Neogloboquadrina pachyderma (N. pachyderma/all planktonics; n = 66; >150 μm size fraction) (Extended Data Figs. 3 and 5), following approaches described in refs. 58,59.

For B/Ca analyses, the epifaunal benthic foraminiferal species C. wuellerstorfi was picked from the 250–500 μm size fraction. For each sample, ~10–20 shells were picked and then double checked under a microscope before crushing to ensure that consistent morphologies were used throughout the core. Foraminiferal shells were then crushed and cleaned following the established protocol60. Carbonate B/Ca ratios were measured on an inductively coupled plasma mass spectrometer using procedures outlined in ref. 61, with an analytical error better than ~4% (2σ). The Mn/Ca and Al/Ca were also measured, and they showed no correlation with B/Ca, suggesting minimal influences from silicate or diagenetic coatings.

Age model

The age model of MD95-2039 is based on a combination of methods. For samples from <~14 ka, the age model relies on six radiocarbon ages and an assumed core-top age of 0 ka. The radiocarbon dates were converted into calendar ages using the CALIB 8.1 with the Marine20 calibration curve62,63 (Supplementary Table 1). No radiocarbon date is used during the YD to avoid any complications with past surface reservoir age variations. For samples from ~14.5 to 22 ka and from ~65 to 120 ka, the age model was constructed mainly using the established approach of aligning G. bulloides δ18O in MD95-2039 to the NGRIP ice-core δ18O record25 on the AICC2012 age model64. Due to the lack of significant structure in NGRIP δ18O during HS1, we added two tie points to align MD95-2039 G. bulloides δ18O to the Hulu speleothem δ18O record (on the U–Th age)65 at 16 ka and 17.7 ka, following the approach from ref. 39 (Supplementary Table 2). During ~22–65 ka, we adopted the WDC2014 age model for NGRIP δ18O using a 1.0063 scaling factor (WDC2014 age = 1.0063 × AICC2012 age)66 to facilitate comparisons of our deep-water [CO32−] with the latest high-resolution atmospheric CO2 record from the WDC ice core3 (Fig. 2). Because WDC record covers only the past ~65 ka, we used the AICC2012 age model for NGRIP δ18O for ~65–120 ka. Between ~120 ka and 140 ka, we have tuned MD95-2039 G. bulloides δ18O to a nearby core ODP Site 976 G. bulloides δ18O, which has been mapped onto speleothem U–Th age (equivalent to the AICC2012 age model)26. During 140–150 ka, MD95-2039 G. bulloides δ18O is tuned to the synthetic NGRIP δ18O record67. Other ice-core records used in this study, including EDML δ18O27 (WDC δ18O record is too short and thus not used) and compiled atmospheric CO2 records1,2,3,4, are placed on the same age scales as those used to construct the MD95-2039 chronology. The robustness of our age model is confirmed by new and published58,59 abundances of IRD and N. pachyderma (Extended Data Figs. 3 and 5). All age tie points for MD95-2039 are given in Supplementary Table 2.

Deep-water [CO3 2−] reconstructions

Deep-water [CO32−] values at MD95-2039 are reconstructed using C. wuellerstorfi B/Ca22,24 from [CO32−]downcore = [CO32−]PI + ΔB/Cadowncore-coretop/Sen, where [CO32−]PI is the preindustrial (PI) deep-water [CO32−] value (105 μmol kg–1) estimated from the GLODAP dataset68, ΔB/Cadowncore-coretop represents the deviation of B/Ca of downcore samples from the core-top value, and the term Sen is the B/Ca–[CO32−] sensitivity of C. wuellerstorfi (1.14 μmol mol–1 per μmol kg–1) (ref. 24). The reconstruction uncertainty (2σ) is 10 μmol kg–1 in [CO32−], based on global core-top calibration samples24,69.

Statistical analyses

Uncertainties associated with time series, including our new deep-water [CO32−], G. bulloides δ18O and ice-core parameters, were evaluated using a Monte Carlo-style approach40,70, considering errors with both the chronology (x axis) and reconstructions (y axis) (Fig. 3 and Supplementary Figs. 27). Age errors are estimated using the OxCal programme71, while the individual [CO32−] error is estimated to be 10 μmol kg–1 (2σ). All data points were sampled separately and randomly 2,000 times within their chronological and [CO32−] uncertainties, and each iteration was then interpolated linearly. At each time step, the probability maximum and data distribution uncertainties of the 2,000 iterations were assessed. We present probability maxima (bold curves) and ±95% (shading; 2.5th–97.5th percentile) probability intervals for the data distributions40,70. The same data processing approach was used to analyse δ18O and atmospheric CO2 records using their respective uncertainties.

We constructed stadial evolutions of NGRIP δ18O25, atmospheric CO21,3, EDML δ18O27 and MD95-2039 G. bulloides δ18O and [CO32−] for the five modes discussed in the main text (Fig. 3). First, each record was processed using the Monte Carlo approach described in the preceding. Second, the starting and ending times of stadials were identified on the basis of rapid changes in NGRIP δ18O, following ref. 3. Third, anomalies (Δ) of signals and associated 2σ uncertainties were calculated relative to the onset of each stadial using Monte Carlo-derived time series and ±95% probability intervals. Fourth, the duration of stadial was normalized (0–100%) to facilitate comparisons. Fifth, to obtain the overall trends, signals for Modes II and IV (number of stadials ≥ 5) were stacked by averaging the normalized anomalies of all stadials from each mode. To assess the uncertainties of the stacks, we calculated 2σ of all individual stadial signals and their associated uncertainties in each mode using the Monte Carlo-based approach40,70.

Timing of deep-water [CO3 2−] during Mode II stadials

Due to short durations associated with millennial events, any lead or lag relationship in timing between signals is inherently small, which urges caution about complications from bioturbation when interpreting proxy data. However, timing of geochemical signals can be well constrained by making the best use of high sedimentation and measurements of coexisting surface- and deep-dwelling foraminiferal shells from MD95-2039, as demonstrated previously for other cores from the Iberian Margin44,55. During Mode II stadials, the robustness of deep-water [CO32−] increases earlier than stadial terminations (Figs. 2 and 3) is supported by multiple lines of evidence. First, the high sedimentation rate (~20–30 cm ka–1) and large thicknesses of sediments (~30–70 cm) during these stadials at MD95-2039 not only allow detailed reconstructions but also substantially minimize any bioturbation effect (Extended Data Figs. 3 and 5). The early [CO32−] rise is unlikely an artefact of downward mixing of shells with high [CO32−] from the subsequent interstadial; otherwise, similar features would be expected to be more prevalent during shorter GSs with thinner sediment deposition, which would be subject to stronger bioturbation effects, a phenomenon not observed. Second, the [CO32−] rise before stadial terminations persists when examining changes in B/Ca (used to reconstruct [CO32−]) and δ18O (used to construct age model) against sediment depth (Extended Data Fig. 5). Because these measurements were made on coexisting benthic and planktic shells, bioturbation, if any, would shift depths of both species with minimal effect on their lead–lag relationship. We do acknowledge that any bioturbation effect also depends on the relative abundances of benthic versus planktic shells, which may change between stadials and interstadials, but a reliable means is yet lacking to obtain the ‘original’ species abundance information before bioturbation. Third, instead of relying on data from any single event, the early [CO32−] rise is revealed by [CO32−] and G. bulloides δ18O from multiple stadials on the basis of thorough statistical analyses to account for both chronology and reconstruction uncertainties (Supplementary Fig. 4).