Articles | Volume 17, issue 2
Clim. Past, 17, 703–719, 2021
Clim. Past, 17, 703–719, 2021

Research article 26 Mar 2021

Research article | 26 Mar 2021

Atmospheric carbon dioxide variations across the middle Miocene climate transition

Atmospheric carbon dioxide variations across the middle Miocene climate transition
Markus Raitzsch1,2, Jelle Bijma2, Torsten Bickert1, Michael Schulz1, Ann Holbourn3, and Michal Kučera1 Markus Raitzsch et al.
  • 1MARUM – Zentrum für Marine Umweltwissenschaften, Universität Bremen, Leobener Straße 8, 28359 Bremen, Germany
  • 2Alfred-Wegener-Institut, Helmholtz-Zentrum für Polar- und Meeresforschung, Am Handelshafen 12, 27570 Bremerhaven, Germany
  • 3Institut für Geowissenschaften, Christian-Albrechts-Universität, 24118 Kiel, Germany

Correspondence: Markus Raitzsch (


The middle Miocene climate transition  14 Ma marks a fundamental step towards the current “ice-house” climate, with a  1 ‰ δ18O increase and a  1 ‰ transient δ13C rise in the deep ocean, indicating rapid expansion of the East Antarctic Ice Sheet associated with a change in the operation of the global carbon cycle. The variation of atmospheric CO2 across the carbon-cycle perturbation has been intensely debated as proxy records of pCO2 for this time interval are sparse and partly contradictory. Using boron isotopes (δ11B) in planktonic foraminifers from Ocean Drilling Program (ODP) Site 1092 in the South Atlantic, we show that long-term pCO2 varied at 402 kyr periodicity between  14.3 and 13.2 Ma and follows the global δ13C variation remarkably well. This suggests a close link to precessional insolation forcing modulated by eccentricity, which governs the monsoon and hence weathering intensity, with enhanced weathering and decreasing pCO2 at high eccentricity and vice versa. The  50 kyr lag of δ13C and pCO2 behind eccentricity in our records may be related to the slow response of weathering to orbital forcing. A pCO2 drop of  200 µatm before 13.9 Ma may have facilitated the inception of ice-sheet expansion on Antarctica, which accentuated monsoon-driven carbon cycle changes through a major sea-level fall, invigorated deep-water ventilation, and shelf-to-basin shift of carbonate burial. The temporary rise in pCO2 following Antarctic glaciation would have acted as a negative feedback on the progressing glaciation and helped to stabilize the climate system on its way to the late Cenozoic ice-house world.

1 Introduction

With rapid cooling of Antarctica and associated expansion of the East Antarctic Ice Sheet (EAIS), the middle Miocene climate transition (MMCT)  14 Ma marks a fundamental step towards the current “ice-house” climate (Woodruff and Savin, 1991; Flower and Kennett, 1994). The transition is characterized by a δ18O increase of  1 ‰ in the deep ocean between 13.9 and 13.8 Ma and a positive ( 1 ‰) δ13C excursion between 13.9 and 13.5 Ma indicating a fundamental change in global carbon-cycle dynamics (Shevenell et al., 2004; Holbourn et al., 2005, 2007). This carbon-isotope maximum (CM) event CM6 is the last and most prominent of a suite of maxima within a long-lasting δ13C excursion, the “Monterey Excursion”, spanning  16.9 to  13.5 Ma and apparently paced by long-term changes in the 400 kyr eccentricity cycle of the Earth's orbit (Vincent and Berger, 1985; Holbourn et al., 2007). These δ13C maxima hint at a major reorganization of the marine carbon cycle, and the temporal coincidence of CM6 with expansion of the Antarctic ice sheet indicates that the glaciation may have been caused by cooling due to reduced CO2 radiative forcing (Foster et al., 2012; Greenop et al., 2014) and potentially reinforced by low seasonality (Holbourn et al., 2005) and high albedo over Antarctica (Shevenell et al., 2004).

The CM events within the Monterey Excursion have been traditionally considered as episodes of increased organic-carbon (Corg) burial resulting in 12C-depleted seawater, atmospheric CO2 drawdown and associated cooling and buildup of continental ice (Vincent and Berger, 1985; Flower and Kennett, 1993, 1994; Badger et al., 2013). Another explanation for the CM events refers to the “missing sink” mechanism (Lear et al., 2004), where large areas of Antarctic silicate rocks are covered by ice caps, which reduce chemical weathering and, thus, limit their potential as a sink for atmospheric CO2 (Pagani et al., 1999; Lear et al., 2004; Shevenell et al., 2008). Despite the different impacts on atmospheric CO2, both hypotheses result in increasing marine δ13C, either by removal of 12C-enriched organic carbon from the water column or by increasing the carbon isotopic fractionation during photosynthesis at higher aqueous [CO2].

Sosdian et al. (2020) proposed that different mechanisms were responsible for the  3 Myr Monterey carbon isotope excursion and the shorter  400 kyr periodic CM events. The Monterey excursion may have been caused by volcanic outgassing from Columbia River flood basalts, resulting in a pCO2 rise, global warming, and rising sea level (e.g., Hodell and Woodruff, 1994). In contrast, the CM events were associated with global cooling and ice-sheet growth; increases in nutrient delivery, marine productivity, and organic carbon burial (the classic Monterey hypothesis), which ultimately led to a drawdown of atmospheric CO2; and a rise in δ13C (Sosdian et al., 2020). An alternate hypothesis is that the high δ13C of CM events could have been caused by increased monsoon-driven weathering and nutrient supply to the ocean in low latitudes, resulting in enhanced Corg burial and pCO2 drawdown that was outweighed by the concomitant increase in shallow-water carbonate production that removed alkalinity and hence released CO2 (Ma et al., 2011).

However, CM6 is unique as it is the most prominent among the CM events and its onset coincided with expansion of the Antarctic ice sheet. Hence, the interpretation of this event is complicated by additional processes that came into play, including a 55–75 m sea-level fall (Lear et al., 2010) that might have initiated a shelf-to-basin shift in carbonate burial; carbonate and pyrite weathering on exposed shelf areas (e.g., McKay et al., 2016; Ma et al., 2018, Kölling et al., 2019); and changes in ocean circulation, bottom-water ventilation, and deep-water production (e.g., Shevenell et al., 2004; Holbourn et al., 2007, 2013, 2014; Kuhnert et al., 2009; Tian et al., 2009; Knorr and Lohmann, 2014), all of which might have influenced δ13C and pCO2. For instance, in a recent study it was suggested that a northward shift of frontal systems may have reduced Southern Ocean upwelling, resulting in increased carbon storage in the deep ocean and thus a drawdown of atmospheric CO2 (Leutert et al., 2020). It was proposed that the δ13C excursion of CM6 could be caused by increased weathering of 13C-enriched shelf carbonates exposed after the sea-level fall and a terrestrial carbon reservoir expansion (Ma et al., 2018). As a consequence, the enhanced shelf carbonate weathering and carbon storage on land, as well as a more sluggish meridional Pacific Ocean overturning circulation due to reduced deep-water formation in the Southern Ocean, resulted in a drawdown of pCO2 (Ma et al., 2018).

The nature of the carbon cycle perturbation could be better constrained if we knew the evolution of atmospheric CO2 across the MMCT. Understanding the role of the carbon cycle in this cooling step is key to assessing Earth system sensitivity to CO2 forcing and the long-term stability of the Antarctic ice sheet under rising CO2 concentrations. However, most proxy records for the history of pCO2 across the MMCT are incomplete or at low resolution, thus prohibiting resolution of the CM events (Pagani et al., 1999; Kürschner et al., 2008; Foster et al., 2012; Ji et al., 2018; Sosdian et al., 2018; Super et al., 2018) and making it difficult to identify the mechanisms responsible for this major step into the ice-house world. The only high-resolution pCO2 reconstruction across CM6 is based on alkenone δ13C data from a Miocene outcrop on Malta (Badger et al., 2013), but it does not reveal a significant change.

Therefore, to better understand atmospheric CO2 evolution over the period of EAIS expansion, we generated a relatively high-resolution reconstruction based on δ11B measurements of fossil planktonic foraminifers from the South Atlantic (Figs. 1, 2). The boron isotopic composition of biogenic carbonates is a reliable recorder of ambient pH, which in turn is closely linked to atmospheric pCO2 in oligotrophic surface waters. Our record fully captures the carbon isotope excursions CM5b and CM6, which include the major expansion of the EAIS.

Figure 1Azimuthal view of the location of ODP Site 1092 (water depth 1973 m) on the Meteor Rise in the South Atlantic Ocean, north of the modern polar front. Also shown are locations of DSDP Site 608, ODP Site 761, IODP Site U1338, and Ras-il-Pellegrin on Malta, for which pCO2 records are displayed in Fig. 6.

Figure 2Scanning electron microscopy images of collected G. bulloides for δ11B analysis (representative example from 177-1092B-18-4, 69–71 cm): (A) whole shell; (a) close-up image that reveals intact coccoliths covering the shell surface, indicating a lack of post-depositional dissolution; (B) shell fragments after chemical cleaning; and a (b) close-up image showing the absence of non-shell material.


2 Material and methods

2.1 Sampling strategy

This research used samples from Ocean Drilling Program (ODP) Site 1092, located at 46.41 S and 7.08 E (Fig. 1) at a water depth of 1973 m. The interval studied ( 178–184 mcd; see Table S1 in the Supplement) consists of nannofossil ooze with excellent carbonate preservation, as shown by undissolved coccoliths, which are susceptible to corrosion (Fig. 2). The shown example is from  13.8 Ma, where pH was low, but shell preservation is similarly good throughout the entire record. From the 250–315 µm size fraction, approximately 200 specimens ( 2.5 mg) of the cold-water-dwelling planktonic foraminifer G. bulloides were picked for δ11B analysis from 35 processed 10 cm3 sediment samples. In addition, about five to eight specimens of the benthic foraminifer Cibicidoides wuellerstorfi were picked from 14 intervals to reconstruct deep-sea pH (Table S1). Today, surface-water pCO2 at Site 1092 is close to equilibrium with the atmosphere (ΔpCO2sea-air<-30µatm; Takahashi et al., 1993, 2009). Plankton tow data revealed that G. bulloides in the Atlantic sector of the Southern Ocean is predominantly found within the upper 100 m of the water column (Mortyn and Charles, 2003). Based on DIC (dissolved inorganic carbon) and TA (total alkalinity) from seasonal TCO2+TALK (Goyet et al., 2000) and temperature and salinity from WOA13 data sets, modern gradients in pH and pCO2 are small at this site within the upper 200 m of the water column. During the austral spring season, when the shell flux of G. bulloides is highest (Jonkers and Kučera, 2015; Raitzsch et al., 2018), the differences in pH and pCO2 within this depth range are 0.03 and 17 µatm, respectively. Hence, we expect G. bulloides to be a reliable recorder of subsurface pH and pCO2.

2.2 Age model

The age model used in this study is adopted from Kuhnert et al. (2009) but was revised to bring it in line with the astronomically tuned stable isotope record of the reference IODP Site U1338 (Holbourn et al., 2014) (Fig. 3, Table S2). For direct comparison of our pCO2 record with the boron-based reconstructions available from the literature, the age models of ODP 761 (Holbourn et al., 2004; Foster et al., 2012; Sosdian et al., 2018) and the Blue Clay Formation of Ras-il-Pellegrin on Malta (Abels et al., 2005; Badger et al., 2013) were also retuned to match the reference curve U1338 (Table S2). Although the global stratotype section and point (GSSP) of the Langhian–Serravallian boundary (Mi-3b) in the Malta section was not explicitly placed at 13.82 Ma as suggested by Abels et al. (2005), the boundary in the revised age model (13.81 Ma) is in very close agreement, supporting the validity of the retuned record. Based on these revised age models, the δ18O and δ13C profiles of Sites 1092, ODP 791, and the Blue Clay Formation generally show a good agreement with those of Site U1338 (Fig. 3).

Figure 3Age models of ODP Site 1092, ODP Site 761, and the Blue Clay Formation (Ras-il-Pellegrin, Malta), which were retuned with respect to the reference curve of IODP Site U1338 (Holbourn et al., 2014), based on their δ18(a) and δ13(b) records. The thick line in the Ras-il-Pellegrin record is from Abels et al. (2005), and the thin line is from Badger et al. (2013). Arrows mark tie points from this study, which are listed in Table S2. Dashed lines delimit CM events 5b and 6.


2.3 Boron isotope analysis

Foraminifer shells were cleaned following the protocol of Barker et al. (2003). Boron (B) isotope ratios were measured following Raitzsch et al. (2018). Briefly, the cleaned samples were dissolved in 60 µL of 1 N HNO3 and micro-distilled on a hotplate to separate boron from the carbonate matrix. The micro-distillation method has been proven to yield a B recovery of  100 %, a low procedural blank, and accurate results, even at low B concentrations (Gaillardet et al., 2001; Wang et al., 2010; Misra et al., 2014; Raitzsch et al., 2018). The procedural blank contribution was 10–50 pg B, which equates to  0.2 %–0.8 % of the total [B] in the micro-distillation vial. The distillate containing only boron was diluted with 2 % HNO3 and analyzed for isotopes in triplicate using a Nu Plasma II multi-collector inductively coupled plasma mass spectrometry (ICPMS) at AWI (Bremerhaven, Germany) that is equipped with a customized detector array of 16 Faraday cups and 6 secondary electron multipliers (SEM), also termed ion counters (IC). The 11B and 10B samples were collected in IC5 and IC0, respectively, at a boron concentration of  3 ppb. As three of the SEMs were later replaced by Daly detectors, 11B and 10B of C. wuellerstorfi samples were collected in D5 and D0, respectively, at a boron concentration of  2 ppb. 11B/10B was standardized against concentration-matched NBS 951 using the standard–sample–standard bracketing technique, and frequent analysis of control standard AE121 with an isotopic composition similar to that of foraminifers was monitored to ensure accuracy of measurement. Measurement uncertainties are reported as 2 standard deviations (2σ) derived from triplicate measurements or as ±0.30 ‰ (for SEM-analyzed samples) and ±0.25 ‰ (for Daly-analyzed samples) determined from the long-term reproducibility (2σ of per-session δ11B averages) of the control standard, whichever is larger (see Table S1).

2.4 Calculation of carbonate chemistry

To reconstruct pH and pCO2 for the middle Miocene from the boron isotopic composition of foraminiferal shells, more constraints and assumptions of boundary conditions need to be made, as the ocean chemistry was different from today. This includes the boron isotopic composition of seawater (δ11Bsw), which has a direct effect on that of foraminifer shells (δ11Bforam) but also on the δ11Bforam/δ11Bborate relationship, which in turn may lead to different pH yields. Further, we need to consider the seawater concentrations of calcium [Ca] and magnesium ions [Mg], which affect both the ocean's buffering capacity and the Mg / Ca ratios in foraminifer shells used to reconstruct seawater temperatures. Ultimately, we need to constrain a second carbonate system parameter (besides pH) to determine absolute atmospheric pCO2 values as accurately as possible.

2.4.1δ11B of seawater

The most critical parameter for correct conversion of δ11Bforam to pH is δ11Bsw, which is fortunately well constrained for the middle Miocene. We used a δ11Bsw value of 37.80 ‰, which is the mean value from different independent studies and in close agreement with each other to within 0.2 ‰ (2σ) (Pearson and Palmer, 2000; Foster et al., 2012; Raitzsch and Hönisch, 2013; Greenop et al., 2017), and also comparable to the 38.5 ‰ modeled by Lemarchand et al. (2000). This value is used for both the calculation of pH and the adjustment of the δ11Bforam/δ11Bborate regression intercept, where the effect is larger the more the slope differs from a 1 : 1 relationship (Greenop et al., 2019). Nonetheless, to inspect the influence of δ11Bsw on final reconstructed pCO2 values, we carried out the calculations using lower and upper extremes in δ11Bsw of 36.80 ‰ and 38.80 ‰, respectively. The results show that the extreme scenarios not only reveal differences in reconstructed pCO2 of up to 320 µatm but also in relative changes, due to the nonlinearity of the δ11B-pH proxy (Fig. S1). However, we propose that a δ11Bsw value of 37.80 ‰ is a reasonable estimate, given the close agreement between independent studies and the closeness to non-boron-based pCO2 reconstructions.

2.4.2 Equilibrium constants

As the Miocene ocean had different [Ca] and [Mg] than today, their separate effects on seawater buffering must be taken into account to more accurately estimate past carbonate chemistry. For our study, all carbonate system parameters were calculated based on the MyAMI model (Hain et al., 2015; 2018) using a [Ca] and [Mg] of 13 and 42 mmol kg−1, respectively, derived from halite fluid inclusions (Horita et al., 2002; Lowenstein et al., 2003; Timofeeff et al., 2006; Brennan et al., 2013).

2.4.3 Foraminiferal δ11B calibrations

The different species-specific δ11Bforam/δ11Bborate calibrations used to reconstruct Miocene pH may ultimately result in significantly different pCO2 estimates (Fig. S2). For G. bulloides, there are three calibrations available (Martínez-Botí et al., 2015; Henehan et al., 2016; Raitzsch et al., 2018), all of which yield very similar results (Fig. S2a). In this study, we used the one from Raitzsch et al. (2018) giving values that lie between the other two estimates. By contrast, for Trilobatus trilobus δ11B the Trilobatus sacculifer calibration is applied, with four available equations (Foster et al., 2012; Martínez-Botí et al., 2015; Henehan et al., 2016; Dyez et al., 2018). The calibrations refer to different size fractions of T. sacculifer and different analytical techniques, resulting in Miocene pCO2 estimates that differ from each other by up to  2000 µatm (Fig. S2b, c). The very high pCO2 (low pH) values obtained with the equation from Dyez et al. (2018) are attributed to the much shallower slope (data collected with negative thermal ionization mass spectrometry; N-TIMS), compared to those of the other calibrations (based on MC-ICPMS measurements). Due to the lower δ11Bsw in the Miocene, this lower sensitivity also requires a stronger adjustment of the regression towards a higher intercept (Greenop et al., 2019), which results in calculations of even lower pH values. Hence, we assume that the calibration of Dyez et al. (2018) is not suitable for deep-time studies, when the δ11Bsw was much different from today, using MC-ICPMS. However, the calibrations of Martínez-Botí et al. (2015) and Henehan et al. (2016) also result in Miocene pCO2 estimates up to 400 µatm higher than the G. bulloides data (Fig. S2a) and other, non-boron-based, pCO2 proxy data. Therefore, we retained the original equation provided by Foster et al. (2012) to re-evaluate the δ11B data of their study and the study by Badger et al. (2013).

2.4.4 pH and temperature estimates

δ11Bforam was converted to δ11Bborate using the calibration for G. bulloides from Raitzsch et al. (2018), which was adjusted for the lower δ11Bsw following Greenop et al. (2019). Subsequently, pH was calculated using sea-surface temperatures (SSTs) derived from foraminiferal Mg / Ca ratios, a hydrostatic pressure of 5000 hPa (equivalent to 50 m water depth), and salinity based on the study by Kuhnert et al. (2009). The latter was estimated by converting δ18Osw, derived from planktonic foraminiferal δ18O and Mg / Ca temperatures (Shackleton, 1974), to salinity using a δ18Osw : salinity gradient of 1.1 ‰ (the change in δ18Osw per salinity unit). This minimum gradient is required to keep the upper-ocean density difference across the Subantarctic Front to enable the formation of Antarctic Intermediate Water (Kuhnert et al., 2009), which existed as Southern Component Intermediate Water (SCIW) since at least  16 Ma (Shevenell and Kennett, 2004) and spread into all oceans adjacent to the Southern Ocean (Wright et al., 1992). The relative salinity record was then adjusted by 17.2 to achieve post-glaciation values similar to today. The reconstructed relative salinity change across the MMCT at Site 1092 is slightly more than 1, which is equivalent to the salinity gradient across the Subantarctic Front today.

As seawater pH has a profound effect on foraminifer shell Mg / Ca, biasing reconstructed SSTs, which in turn results in altered pH estimates, we followed the method of Gray and Evans (2019) to iteratively solve Mg / Ca temperatures and δ11B-derived pH. For this, we modified the “MgCaRB” R script of Gray and Evans (2019) to allow salinity and δ11Bsw as additional input parameters (see code in Sect. S1 in the Supplement). In addition, we implemented a correction of shell Mg / Ca for changes in seawater Mg / Ca ([Mg / Ca]sw) using the method of Evans and Müller (2012), where we applied the power function constants for Trilobatus sacculifer, assuming that they are valid for other low-Mg foraminifers as well. In this study, we used a Mg / Casw that was likely on the order of 3.2 mol mol−1 at  14 Ma, inferred from the chemical composition of halite fluid inclusions (Horita et al., 2002; Lowenstein et al., 2003; Timofeeff et al., 2006; Brennan et al., 2013).

To better compare our record with published boron-based pCO2 reconstructions, the δ11B and Mg / Ca data of T. trilobus from Foster et al. (2012) and Badger et al. (2013) were re-evaluated using the same calculation procedure as for our data. Here, we used the calibration for T. sacculifer from MgCaRB, although there is no discernable pH effect on the Mg / Ca of this species. Further, we applied a constant salinity of 35 and a hydrostatic pressure of 0 Pa, but their effects on the final results are almost negligible as well.

Deep-sea temperatures were derived from Mg / Ca of C. wuellerstorfi (data courtesy of Henning Kuhnert) using the species-specific calibration of Raitzsch et al. (2008), but we multiplied the pre-exponential constant with 0.825 (Evans and Müller, 2012) to correct temperatures for the lower Mg / Casw of the Miocene (see caption Table S1). Deep-ocean pH from the same species was calculated using a δ11Bforam/δ11Bborate calibration (Table S1) fitted through core-top data from Rae et al. (2011) and Raitzsch et al. (2020), a salinity of 34, and a paleo-water depth of 1794 m.

The uncertainties for all pH and temperature values reported here were propagated using Monte Carlo simulations (10 000 repetitions) and comprise quoted 2σ uncertainties for δ11B and Mg / Ca measurements, δ11Bforam/δ11Bborate calibrations, δ11Bsw (±0.2 ‰), salinity (±1), and the reciprocally corrected pH and temperatures calculated by MgCaRB (Gray and Evans, 2019).

2.4.5pCO2 reconstruction

To calculate pCO2 from sea-surface pH, a second carbonate system parameter needs to be constrained. For this study, we used a sea-surface TA of 2000 µmol kg−1, which is in line with various carbon cycle model results (Tyrrell and Zeebe, 2004; Ridgwell, 2005; Caves et al., 2016; Sosdian et al., 2018; Zeebe and Tyrrell, 2019), and we applied it to the entire record. However, to verify the validity of our approach we tested the effect of varying TA on pCO2 calculations (see Sect. 3.3). Uncertainties of pCO2 estimates were fully propagated from adjusted 2σ uncertainties in pH and temperature (produced by MgCaRB; see Sect. 2.4.4), TA (±150 µmol kg−1), and salinity (±1 psu) using the “seacarb” package (Lavigne et al., 2011) programmed in “R”. The applied temperature uncertainty is similar to the mean difference of  2 C between the non-corrected and pH-corrected Mg / Ca temperatures (Fig. S3), while the TA uncertainty encompasses the mean standard deviation of ± 130 µmol kg−1 between different TA models and the standard deviation of ± 50 µmol kg−1 for each model across the MMCT (Sosdian et al., 2018). The applied salinity uncertainty encompasses the potential salinity change across the MMCT.

3 Results

3.1 Carbon dioxide record

Our boron-based record indicates a steady pCO2 increase from  380 to 520 ± 100 µatm between 14.25 and 14.08 Ma and a subsequent decrease to  320 µatm until 13.87 Ma, culminating after the onset of the major ice-sheet expansion (Fig. 4e). It should be noted that this  200 µatm drop in pCO2 occurred at a time of northward-shifting Southern Ocean fronts, which is only related to a step-like drop in SST and salinity around 14 Ma at this site (Fig. 4c) (Kuhnert et al., 2009). At 13.82 Ma, when SST had already reached a lower stable level and after the inception of the  1 ‰ rise in benthic δ18O (Fig. 4a), pCO2 increased rapidly by  100 µatm and displayed high-amplitude variations of more than 50 µatm until 13.57 Ma. This transient rise in pCO2 ended with a decrease to  320 µatm and much reduced variability after 13.53 Ma (Fig. 4e). Despite the high 2σ uncertainty of  100 µatm for the overall pCO2 record, the interpretation of comparatively small changes of  50 µatm is reasonable, due to the smaller uncertainty of relative variations. The latter is estimated to be approximately 50 µatm (2σ), i.e., when uncertainties in the δ11Bforam/δ11Bborate calibration and δ11Bsw are neglected. Sea-surface pH values within the entire record range from 7.94 to 8.11 ± 0.09, while deep-sea pH varies between 7.77 and 7.87 ± 0.08 over the same interval (Figs. 4d and S4). Interestingly, the pH offset between the surface and deep ocean is nearly identical to the modern gradient and apparently does not change substantially within our Miocene record (Fig. S4), but the high uncertainties associated with the pH estimates hamper a reasonable statistical analysis of the temporal change in gradient.

Figure 4Proxy records of the middle Miocene climate transition. (a) Benthic oxygen isotope curve from ODP Site 1092 (in red) used in this study and from eastern Pacific IODP Site U1338 (in blue) used as a reference (Holbourn et al., 2014). (b) The same as in panel (a) but for carbon isotopes. The carbon maximum events CM5b and CM6 are indicated. (c) Site 1092 sea-surface temperatures based on G. bulloides Mg / Ca ratios (Kuhnert et al., 2009) and pH-adjusted following Gray and Evans (2019) with a 2σ uncertainty band. (d) Raw boron isotope data of G. bulloides. Shaded area indicates 2σ uncertainties of measurement. (e) Estimated pCO2 of surface waters basically using temperature-adjusted δ11B-based pH following Gray and Evans (2019), a total alkalinity (TA) of 2000 ± 150 µmol kg−1, and a δ11Bsw value of 37.80 ± 0.2 ‰. Note that the secondary axis only approximates corresponding pH and that the shaded area delimits propagated uncertainties only for pCO2. For exact pH values and uncertainties, see Fig. S4. (f) Eccentricity of the Earth's orbit is from Laskar et al. (2004) and a low-pass-filtered 400 kyr signal (grey line).


The pCO2 variations within the studied time interval show a remarkable agreement with variations in δ13C that correspond to CM5b and CM6 (Fig. 4). Accordingly, the maxima at  14.1 and 13.7 Ma as well as the minima at  13.9 and 13.5 Ma, indicate that atmospheric CO2 levels were paced by 400 kyr cycles, as also demonstrated by evolutive harmonic and power spectral analyses (Fig. 5), but due to the phase lag it is difficult to substantiate a direct link between long eccentricity cycles and atmospheric CO2.

Figure 5Evolutive harmonic analysis (EHA) and power spectral analysis of pCO2 record from ODP Site 1092, using the Thomson multitaper method (MTM). The red line in the left panel is the low-pass-filtered 400 kyr signal using cosine-tapered window. Analyses were performed using the R package “Astrochron” (Myers, 2014).


3.2 Sea-surface temperatures

Due to the profound effect of pH on Mg / Ca in shells of G. bulloides, which might bias reconstructed SSTs, we applied the modified MgCaRB tool of Gray and Evans (2019) to iteratively solve Mg / Ca temperatures and δ11B-derived pH. In addition, we applied a correction factor to account for the effect of [Mg / Ca]sw on shell Mg / Ca using the method of Evans and Müller (2012). However, to evaluate the difference between iteratively adjusted and non-adjusted pH and temperature values, we also performed the conventional calculations using the G. bulloides δ11B calibration from Raitzsch et al. (2018) and Mg / Ca-to-temperature component from Gray and Evans (2019), respectively. It should be noted that the Mg / Ca sensitivity of G. bulloides to temperature determined by Gray and Evans (2019) is much larger than that by Mashiotta et al. (1999). Therefore, the calculated unadjusted temperature decrease between 14.05 and 13.85 Ma is on the order of 13 C, compared to  6 C determined with the equation of Mashiotta et al. (1999) and reported in Kuhnert et al. (2009). After the iterative correction of Mg / Ca and pH, the results show that before the EAIS expansion the adjusted temperature and pCO2 values are up to  3 C and  60 µatm lower, respectively (Fig. S3). On the contrary, after 13.9 Ma the adjusted temperature and pCO2 reconstructions are very similar, suggesting that approximately one-fourth of the observed pre-glacial Mg / Ca decrease was induced by a contemporaneous pH rise.

3.3 Sensitivity tests

Given that we use TA as the second variable to calculate the inorganic carbon chemistry, which might affect calculated pCO2 discernibly, we carried out a number of sensitivity tests. The first tests demonstrate that either constant salinity, a  1 unit change in salinity, or TA co-varying with salinity using a modern TA–S relationship ( 42 µ mol kg−1 per S unit), has no discernible effect on pCO2 estimates (Fig. S5a). As ODP Site 1092 was apparently influenced by a northward migration of the Southern Ocean fronts, we tested the potential impact on calculated pCO2 by coupling TA to temperature. Even at an unrealistically high total change of 400 µmol kg−1, calculated relative pCO2 changes are similar after the EAIS expansion at  13.9 Ma (Fig. S5b). Given the modern sea-surface TA gradient across the polar frontal system of  100 µmol kg−1 (higher in the south), we conclude that the increasing influence of southern-sourced surface waters on pCO2 estimates at our study site is comparatively small. When in our simulations TA was coupled to pH (Fig. S5c, d) or eccentricity (Fig. S5e–h) by ±100 µmol kg−1, pCO2 reconstructions are almost identical among each other. On the other hand, at TA variations of ±400 µmol kg−1, the pCO2 estimates may differ substantially between the different scenarios, but the general shape of the record remains more or less the same. Given that total variations in TA of 800 µmol kg−1 are very unlikely, we suggest that potential variations in TA do not affect our pCO2 estimates significantly.

4 Discussion

4.1 Origin of Site 1092 pCO2 signal

At face value, the reconstructed pCO2 curve displays a remarkable resemblance to the global benthic δ13C record (Fig. 4), suggesting that there is a first-order link between the two. Our record, however, is the first that shows an increase of pCO2 after the onset of Antarctic glaciation, which is counterintuitive at first glance, given that most hypotheses refer to enhanced Corg burial as the main mechanism having caused the rise in δ13C and presumably an atmospheric CO2 drawdown. Hence, this raises the question as to whether Site 1092 truly records a global pCO2 signal or a local one instead. It is difficult to tackle this question because we neither have a complete, independent pCO2 reconstruction for this time interval at similar or higher resolution for comparison, nor can we ascertain that any site millions of years ago was not influenced by local processes affecting the geochemical signal. Therefore, we cannot completely rule out a local or regional imprint on our pCO2 record, particularly due to the proximity of Site 1092 to the polar front (Fig. 1).

There is indication for development of the subantarctic ocean frontal system and a better stratification of the upper ocean at Site 1092 following Antarctic ice-sheet expansion, suggested by a divergence in δ18O between shallow- and deep-dwelling planktonic foraminifera (Paulsen, 2005). Although the occurrence of ocean fronts should have involved changes in biological productivity that may result in altered surface-water [CO2], the opal and Corg contents in the sediment remain steadily low throughout the middle Miocene (Diekmann et al., 2003), suggesting that Site 1092 was in an oligotrophic setting within the time interval studied. Moreover, if the δ11B signal was mainly driven by a regional change in stratification after 13.85 Ma, this would not explain the low pH earlier during CM5, as shown in our record (Fig. 4).

Further, a better stratification should have resulted in a reduced vertical mixing of the water column and thus to reduced sea–air gas exchange, leading to decreased atmospheric CO2, such as in the Southern Ocean during the Last Glacial Maximum (François et al., 1997). On the contrary, our data do not imply such a situation, as the pH gradient between deep and surface ocean appears to have remained constant (Fig. S4), suggesting that DIC accumulated in both shallow and deep waters at this site, which resulted in an overall pH decrease. Indeed, Leutert et al. (2020) suggested that the expansion of the Antarctic Circumpolar Current (ACC) following ice-sheet expansion could have moved the frontal systems and westerly winds further north, which reduced Southern Ocean upwelling and hence provided a mechanism to increase carbon storage in the deep ocean, drawing down pCO2. If the deep ocean in the south was indeed less well ventilated, we would expect benthic δ13C to decrease after the onset of the EAIS expansion because the ocean had more time to accumulate 13C-depleted CO2 from decomposed Corg, which is the opposite (increasing δ13C, Fig. 4). All these complications call for more proxy records at sufficient resolution from spatially distinct locations to better constrain pCO2 evolution across the MMCT.

4.2 Comparison with other pCO2 records

Our pCO2 data broadly agree with reconstructed long-term trends based on paleosol δ13C (Ji et al., 2018) and planktonic foraminiferal δ11B (Foster et al., 2012), except for the higher value at  14.2 Ma (Fig. 6). The boron isotope data from the Mediterranean Sea by Badger et al. (2013) also show pCO2 values that match our data well after 13.8 Ma, but our data do not exhibit a generally higher pCO2 level immediately before 13.8 Ma. On the one hand, the relative pH increase of  0.1 accompanying Antarctic glaciation was backed up by comparing a pH-dependent (Mg / Ca) with independent temperature proxies (clumped isotopes and TEX86) obtained from the same set of samples (Leutert et al., 2020). On the other hand, the strong SST decrease of  4–5 C after the onset of Antarctic glaciation, as suggested by the Mediterranean data, is more than 2 C larger than those recorded in other low-latitude sites (Foster et al., 2012; Leutert et al., 2020; Sosdian and Lear, 2020), yet the reason for this discrepancy needs to be examined. In contrast, the pCO2 reconstruction based on alkenone δ13C data from Badger et al. (2013) is similar to the estimates of Super et al. (2018), which are generally lower than the boron-based data and do not exhibit significant changes during CM6. Recent studies suggest that phytoplankton may enhance cellular carbon supply for photosynthesis via carbon concentrating mechanisms under limited aqueous [CO2], making this proxy less sensitive at low to moderate pCO2 levels (Badger et al., 2019; Stoll et al., 2019).

Figure 6Eccentricity of the Earth's orbit from Laskar et al. (2004) (a) and a comparison of pCO2 estimates from this study with literature data (b). Note that for pCO2 reconstructions from Foster et al. (2012) and Badger et al. (2013), the boron-based pH data were recalculated using the MgCaRB tool (Gray and Evans, 2019) modified for deep-time reconstructions (code in Sect. S1), a TA of 2000 ± 150 µmol kg−1, and a δ11Bsw value of 37.80 ± 0.2 ‰ for consistency with our data. In addition, the age models from these studies were also revised for direct comparison with our record (Fig. 3). All other records are based on their original data and age models.


There is no other direct evidence for increasing pH immediately following the onset of EAIS expansion than the δ11B data by Badger et al. (2013), which is supported by Sosdian et al. (2020) who used planktonic foraminiferal B / Ca ratios from ODP Site 761 (Fig. 1) to infer relative changes in DIC across the middle Miocene. As B / Ca in planktonic foraminifera is thought to be governed by the ratio between borate and DIC concentrations [B(OH)4-/ DIC], an increase in B / Ca can be interpreted as a decrease in DIC and/or an increase in [B(OH)4-] (e.g., Allen et al., 2012). The high-resolution B / Ca record of Sosdian et al. (2020) reveals that the long-lasting Monterey excursion is accompanied by generally low B / Ca ratios, whereas CM intervals are characterized by higher B / Ca, suggesting periodic DIC decreases within a “high-DIC” world. The authors concluded that during the CM events, ice-sheet expansion and global cooling enhanced marine productivity and Corg burial, which resulted in a reduction of surface-water DIC and pCO2, and a rise in δ13C.

Within the overlapping period, which encompasses two full 400 kyr cycles, our record exhibits some striking similarities with the B / Ca record of Sosdian et al. (2020), including the long-term decrease in pCO2, accompanied by declining surface-water DIC, and the higher pCO2 during CM5b (Fig. 6) that is accompanied by increased DIC. Intriguingly, the correlation between the two records collapses at the onset of CM6, when the B / Ca record indicates a decline in DIC, which is corroborated by a lowering in pCO2 (Badger et al., 2013). This is in contrast to our record showing that pCO2 increased during CM6 (Fig. 4), although the records are once again in agreement at the end of CM6 ( 13.5 Ma). This discrepancy could be attributed to non-identified factors influencing either of the two proxies or regional effects on either of the two records. The potential influence of the polar front on Site 1092 is addressed in Sect. 4.1, leading to the question of whether the data by Sosdian et al. (2020) could be alternatively explained by increased deep-water production. When the density of surface waters in the Southern Ocean increased due to cooling in a generally warm middle Miocene, the invigorated deep-ocean venting could have brought respired CO2 to the atmosphere, leaving the overall ocean depleted in DIC and enriched in CO32- and possibly also in δ13C. The higher CO32- in turn could have favored the burial of carbonate in the deep sea, producing even more CO2 that is vented to the atmosphere, as suggested for the Pleistocene glacial–interglacial cycles (Toggweiler, 2008). This way, the loss of CO2 in shallow waters, caused by enhanced marine productivity and Corg burial (Sosdian et al., 2020), could have been outweighed by CO2 added to the atmosphere by deep-ocean ventilation. However, this is speculative and needs to be validated in future studies.

It is worth noting that our pCO2 record before Antarctic glaciation reveals a striking match with the box model output from Ma et al. (2011), while after EAIS expansion our values are some 50 µatm lower, although they still exhibit similar relative changes (Fig. 6). The divergence after  13.9 Ma may be related to the model by Ma et al. (2011), which was designed to simulate orbitally paced carbon reservoir changes for the Miocene Climate Optimum (MCO) and hence does not include ice sheets. Consequently, the model does not consider the effects of falling sea level on the shelf-to-basin fractionation of carbonate burial (McKay et al., 2016; Ma et al., 2018), or of ice-sheet expansion on ocean circulation and bottom-water ventilation (e.g., Shevenell et al., 2004; Holbourn et al., 2007, 2013), all of which should have influenced δ13C and pCO2. However, the similarity between our record and the model suggests that the ocean carbon reservoir varied in response to weathering-induced nutrient input, which in turn was controlled by varying orbital configuration. This model was sufficient to explain the observed δ13C pattern of the MCO (Ma et al., 2011) but could also be capable of explaining a portion of the observed carbon cycle changes in a world with an ice-covered Antarctica.

4.3 The role of weathering in the carbon cycle

The pCO2 increase preceding and following the EAIS expansion closely tracks the global δ13C history of CM5b and CM6 (Fig. 4), emphasizing a fundamental link between changes in the ocean carbon cycle and atmospheric carbon dioxide. The CM peaks correspond to minima in the 400 kyr eccentricity cycle, suggesting that δ13C variations were related to changes in monsoon and weathering intensity (Holbourn et al., 2007; Ma et al., 2011). Eccentricity maxima lead δ13C minima at the 400 kyr band by on average more than 50 kyr, which is comparable to the phase lag of 47 ± 18 kyr observed in other Miocene records, which can possibly be attributed to the slow response of weathering to orbital forcing (Holbourn et al., 2007). Monsoon intensity is paced by solar radiation variations caused by precessional cycles but their amplitude variations are modified by eccentricity. More precisely, higher eccentricity results in larger precession amplitudes and hence in larger wet–dry variations in the tropics (e.g., Wang, 2009), stronger physical and chemical weathering, and ultimately in an increased input of particulate organic material, dissolved inorganic carbon, alkalinity and nutrients to the oceans (e.g., Clift and Plumb, 2008; Ma et al., 2011; Wan et al., 2009). The potential influence of alkalinity variations on our pCO2 record is shown in Fig. S5 and evaluated in Sect. 3.3.

The increased nutrient supply enhanced primary production and organic carbon burial, which in turn lowered pCO2. At the same time, the burial of shallow and total calcium carbonate (CaCO3) increased, while CaCO3 burial in the deep ocean decreased (Holbourn et al., 2007). However, as the net burial of CaCO3 (enriched in 13C) in relation to Corg (depleted in 13C) increased at high eccentricity, δ13CDIC values decreased, which is in line with the global isotope signature (Holbourn et al., 2007; Ma et al., 2011). Estimates of Miocene shallow-water carbonate burial and shelf–basin fractionation of carbonate accumulation are only available in rather low temporal resolution and do not capture orbital variability that would allow assessment of global trends (Boudreau and Luo, 2017; Boudreau et al., 2019; van der Ploeg et al., 2019). Another limitation is that attempts to estimate shallow water carbonate burial on an orbital timescale are limited to regional studies in very different environments (Kroon et al., 2000; Reuning et al., 2002; Williams et al., 2002; Aziz et al., 2003; Auer et al., 2015; Betzler et al., 2018; Ohneiser and Wilson, 2018; Reolid et al., 2019) that cannot be easily synthesized to provide global estimates.

An increase in carbonate burial in shallow seas would have removed alkalinity from seawater and thus lowered pH and released CO2 to the atmosphere (e.g., Zeebe and Wolf-Gladrow, 2001) during 100 kyr eccentricity maxima; however, the resolution of our record is too low to detect this. On longer timescales (400 kyr cycles), increased alkalinity input from rivers, dissolution of deep-sea carbonates, and the enhanced burial of Corg in tropical regions during eccentricity maxima might have contributed to the long-term decrease in pCO2. This agrees well with the box model output from Ma et al. (2011), suggesting that during the long-eccentricity maxima pCO2 decreased, when the monsoon was most intense and the organic carbon burial and river fluxes were high. Conversely, weathering and nutrient supply to the ocean in low latitudes decreased when eccentricity was low, resulting in a net decrease in the CaCO3-to-Corg burial ratio and hence in CO2 release and higher δ13C.

The model of Ma et al. (2011) was designed to explain the long eccentricity signal in the δ13C record throughout the warm MCO and hence does not consider processes caused by expanding Antarctic ice sheets and their impacts on the climate system. Indeed, the modeled pCO2 reveals smaller amplitudes after  13.9 Ma than our reconstruction (Fig. 6) and a less pronounced CM6 in relation to the previous CM events. Changes in shelf–basin partitioning of carbonate burial and enhanced global deep-water ventilation, as well as increased weathering, resulting from a major sea level fall at 13.8 Ma (Ma et al., 2018) are possible mechanisms to explain the higher amplitude of CM6. Additional mechanisms may have contributed to the amplification of CM6, including (1) increased Corg burial by enhanced carbon sequestration through the biological pump linked to intensified upwelling in low latitude areas, as well as (2) substantial outgassing of CO2 from the deep ocean (δ13C of approx. 1 ‰ to 2 ‰) into the atmosphere (δ13C of approx. 6 ‰ to 6.5 ‰), which would not only result in increased atmospheric pCO2 but also in a positive excursion in atmospheric δ13C. The size of the relevant reservoirs (38 000 Gt in the deep ocean vs. 750 Gt in the atmosphere, if the proportions were similar to today) would suggest that this process can be sustained over considerable time intervals. (3) The amplitude of the 405 kyr cycle-paced δ13C excursions depends on the size of the global marine DIC pool (e.g., Paillard and Donnadieu, 2014). This size may have decreased following the loss of shelf seas caused by the major regression associated with the onset of CM6, resulting in a higher amplitude δ13C response to eccentricity forcing.

4.4 Enhanced glacial deep-water ventilation

As stated in the previous section, the δ13C of CM6 might be related to global deep-water ventilation, due to cooling in the Southern Ocean that invigorated deep-water formation. The MMCT bears similarities to the Eocene–Oligocene transition (EOT)  34 Ma ago, when Antarctic ice expansion was also accompanied by a large positive δ13C excursion, in terms of both magnitude and duration (Coxall et al., 2005). The δ13C excursion following Antarctic glaciation was accompanied by a transient pCO2 rise of more than 300 µatm (Pearson et al., 2009; Heureux and Rickaby, 2015), which bears similarity to the pCO2 rise during the mid-Miocene EAIS expansion, although the amplitude was much larger. A modeling study suggested that a sea-level-fall-induced shelf-basin carbonate burial fractionation and a temporal enhancement of deep-water formation (by 150 %) in the Southern Ocean were sufficient to produce both the positive δ13C excursion and a transient pCO2 rise by  80 µatm in the EOT (McKay et al., 2016).

Similarly, ocean circulation may have intensified during the Miocene EAIS expansion, as the latitudinal temperature gradient increased and atmospheric circulation strengthened. This is supported by benthic foraminifers, Mn / Ca and XRF data from Southeast Pacific sites, which indicate improved deep-water ventilation and carbonate preservation after 13.9 Ma, particularly during colder climate phases (Holbourn et al., 2013). Improved deep-water ventilation may also have led to enhanced advection of silica-rich waters toward low latitudes, culminating in an increased upwelling and diatom productivity between 14.04 and 13.96 Ma and between 13.84 and 13.76 Ma in the equatorial East Pacific, as indicated by massive opal accumulation found at IODP Site U1338 (Holbourn et al., 2014). We speculate that increased upwelling may have resulted in CO2 outgassing, if the supply exceeded consumption by primary productivity.

Such a scenario involving Southern Ocean cooling that led to enhanced deep-water formation is also in line with the carbon-cycle box model by Toggweiler (2008), showing that the associated ocean venting could have transported respired CO2 from deep waters to the atmosphere. Consequently, as the ocean was left depleted in DIC and enriched in CO32- (and possibly also in δ13C), this could have favored the burial of carbonate in the deep sea, removing TA and releasing even more CO2 that is vented to the atmosphere (Toggweiler, 2008). The assumed rise in deep-ocean CO32- following EAIS expansion and associated deepening of the carbonate compensation depth (CCD) is not contradictory to the benthic foraminiferal B / Ca ratios from the deep South China Sea that indicate an increase in the calcite saturation state spanning CM6, i.e., a temporary deepening of the CCD (Ma et al., 2018).

It is noteworthy that CM6 exhibits a more pronounced δ13C change than all other CM events of the Monterey excursion, which is not reflected by our pCO2 record but rather shows a similar amplitude of change to CM5b. One possible explanation for this phenomenon is that enhanced deep-water formation during CM6 could have placed Site 1092 into a frontal system in the Southern Ocean, thus recording increasing aqueous [CO2] in a climate of decreasing atmospheric pCO2, which might have also contributed to the divergence in the records of B / Ca (Sosdian et al., 2020) and pCO2 from this study. However, based on our data we can only speculate on the unique nature of CM6 in comparison to other CM events, which must be further explored in future studies.

5 Conclusions

We conclude that pCO2 variations across the MMCT were paced by 400 kyr eccentricity cycles, where pCO2 decreased at high eccentricity and rose when eccentricity was low (Fig. 4). At high eccentricity, the global monsoon and hence weathering intensity increased (e.g., Wang, 2009), causing an increased input of dissolved inorganic carbon, alkalinity, and nutrients to the oceans. The resulting increase in the CaCO3-to-Corg burial ratio lowered pCO2 and decreased δ13CDIC (Ma et al., 2011), and both lag behind eccentricity by  50 kyr, likely due to the slow response of weathering to climate forcing. A re-evaluation of foraminiferal Mg / Ca data from Site 1092 (Kuhnert et al., 2009) by iterative correction between Mg / Ca and pH (Gray and Evans, 2019) revealed that the Mg / Ca decrease starting  180 kyr before Antarctic ice-sheet expansion is too large to be mainly explained by a concomitant increase in pH. Our data instead suggest that at  14.1 Ma sea-surface temperatures in the Atlantic sector of the Southern Ocean started to drop by  10 C, supporting the notion of Kuhnert et al. (2009) that ocean fronts migrated northwards well before Antarctic glaciation. The concomitant pCO2 decrease of  200 µatm between 14.08 and 13.87 Ma might have crossed a threshold sufficiently to facilitate the inception of EAIS expansion at  13.9 Ma. The associated sea-level fall could have accentuated the monsoon-driven carbon cycle changes through invigorated deep-water ventilation, shelf-to-basin partitioning of carbonate burial, and shelf weathering. The CO2 rise after the onset of EAIS expansion, possibly caused by decreased weathering fluxes at low eccentricity and hence net decrease in the CaCO3-to-Corg burial ratio and/or enhanced deep-ocean circulation, could have acted as a negative feedback on the progressing Antarctic glaciation. In this way, the radiative forcing due to the temporary pCO2 rise may have helped to stabilize the climate system on its way to the late Cenozoic ice-house world. Our results highlight the need for more high-resolution pCO2 records across the middle Miocene climate transition.

Code and data availability

The boron isotope data collected for this study are available from Table S1, the tie points used for the revised age model are listed in Table S2, and the modified R code of MgCaRB (Gray and Evans, 2019, is available from Sect. S1 in the Supplement.


The supplement related to this article is available online at:

Author contributions

MR and JB conceived the study (conceptualization). MR carried out measurements, analyzed the data, and performed data statistics (data curation, formal analysis, investigation). JB provided access to analytical instruments at AWI (resources). MR raised funding for the project (funding acquisition). MR produced the figures for the manuscript (visualization) and wrote the first draft of the manuscript (writing – original draft). All authors interpreted, edited, and reviewed the manuscript (writing – review and editing). MR, JB, TB, MS, AH, and MK interpreted the data, and edited and reviewed the manuscript.

Competing interests

The authors declare that they have no conflict of interest.


We thank the Ocean Drilling Program for providing samples from ODP Leg 177 and Mara Maeke for washing the sediments and picking foraminifer shells. Albert Benthien, Beate Müller, Klaus-Uwe Richter, and Ulrike Richter are thanked for their assistance in the lab.

Financial support

This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. RA 2068/3-1).

The article processing charges for this open-access publication were covered by the University of Bremen.

Review statement

This paper was edited by Appy Sluijs and reviewed by two anonymous referees.


Abels, H. A., Hilgen, F. J., Krijgsman, W., Kruk, R. W., Raffi, I., Turco, E., and Zachariasse, W. J.: Long-period orbital control on middle Miocene global cooling: Integrated stratigraphy and astronomical tuning of the Blue Clay Formation on Malta, Paleoceanography, 20, PA4012,, 2005. 

Allen, K. A., Hönisch, B., Eggins, S. M., and Rosenthal, Y.: Environmental controls on B/Ca in calcite tests of the tropical planktic foraminifer species Globigerinoides ruber and Globigerinoides sacculifer, Earth Planet. Sci. Lett., 35/352, 270–280,, 2012. 

Auer, G., Piller, W. E., Reuter, M., and Harzhauser, M.: Correlating carbon and oxygen isotope events in early to middle Miocene shallow marine carbonates in the Mediterranean region using orbitally tuned chemostratigraphy and lithostratigraphy, Paleoceanography, 30, 332–352,, 2015. 

Aziz, H. A., Sanz-Rubio, E., Calvo, J. P., Hilgen, F. J., and Krijgsman, W.: Palaeoenvironmental reconstruction of a middle Miocene alluvial fan to cyclic shallow lacustrine depositional system in the Calatayud Basin (NE Spain), Sedimentology, 50, 211–236,, 2003. 

Badger, M. P. S., Lear, C. H., Pancost, R. D., Foster, G. L., Bailey, T. R., Leng, M. J., and Abels, H. A.: CO2 drawdown following the middle Miocene expansion of the Antarctic Ice Sheet, Paleoceanography, 28, 42–53,, 2013. 

Badger, M. P. S., Chalk, T. B., Foster, G. L., Bown, P. R., Gibbs, S. J., Sexton, P. F., Schmidt, D. N., Pälike, H., Mackensen, A., and Pancost, R. D.: Insensitivity of alkenone carbon isotopes to atmospheric CO2 at low to moderate CO2 levels, Clim. Past, 15, 539–554,, 2019. 

Barker, S., Greaves, M., and Elderfield, H.: A study of cleaning procedures used for foraminiferal Mg/Ca paleothermometry, Geochem. Geophy. Geosy., 4, 8407,, 2003. 

Betzler, C., Eberli, G. P., Lüdmann, T., Reolid, J., Kroon, D., Reijmer, J. J. G., Swart, P. K., Wright, J., Young, J. R., Alvarez-Zarikian, C., Alonso-García, M., Bialik, O. M., Blättler, C. L., Guo, J. A., Haffen, S., Horozal, S., Inoue, M., Jovane, L., Lanci, L., Laya, J. C., Hui Mee, A. L., Nakakuni, M., Nath, B. N., Niino, K., Petruny, L. M., Pratiwi, S. D., Slagle, A. L., Sloss, C. R., Su, X., and Yao, Z.: Refinement of Miocene sea level and monsoon events from the sedimentary archive of the Maldives (Indian Ocean), Prog. Earth Planet. Sci., 5, 5,, 2018. 

Boudreau, B. P. and Luo, Y.: Retrodiction of secular variations in deep-sea CaCO3 burial during the Cenozoic, Earth Planet. Sci. Lett., 474, 1–12,, 2017. 

Boudreau, B. P., Middelburg, J. J., Sluijs, A., and van der Ploeg, R.: Secular variations in the carbonate chemistry of the oceans over the Cenozoic, Earth Planet. Sci. Lett., 512, 194–206,, 2019. 

Brennan, S. T., Lowenstein, T. K., and Cendón, D. I.: The major-ion composition of Cenozoic seawater: The past 36 million years from fluid inclusions in marine halite, Am. J. Sci., 313, 713–775,, 2013. 

Caves, J. K., Jost, A. B., Lau, K. V., and Maher, K.: Cenozoic carbon cycle imbalances and a variable weathering feedback, Earth Planet. Sci. Lett., 450, 152–163,, 2016. 

Clift, P. D. and Plumb, R. A.: The Asian Monsoon: Causes, History and Effects, Cambridge University Press, Cambridge, UK, 2008. 

Coxall, H. K., Wilson, P. A., Pälike, H., Lear, C. H., and Backman, J.: Rapid stepwise onset of Antarctic glaciation and deeper calcite compensation in the Pacific Ocean, Nature, 433, 53–57,, 2005. 

Diekmann, B., Falker, M., and Kuhn, G.: Environmental history of the south-eastern South Atlantic since the Middle Miocene: evidence from the sedimentological records of ODP Sites 1088 and 1092, Sedimentology, 50, 511–529,, 2003. 

Dyez, K. A., Hönisch, B., and Schmidt, G. A.: Early Pleistocene Obliquity-Scale pCO2 Variability at 1.5 Million Years Ago, Paleocean. Paleoclimat., 33, 1270–1291,, 2018. 

Evans, D. and Müller, W.: Deep time foraminifera Mg/Ca paleothermometry: Nonlinear correction for secular change in seawater Mg/Ca, Paleoceanography, 27, PA4205,, 2012. 

Flower, B. P. and Kennett, J. P.: Middle Miocene ocean-climate transition: High-resolution oxygen and carbon isotopic records from Deep Sea Drilling Project Site 588A, southwest Pacific, Paleoceanography, 8, 811–843,, 1993. 

Flower, B. P. and Kennett, J. P.: The middle Miocene climatic transition: East Antarctic ice sheet development, deep ocean circulation and global carbon cycling, Paleogeogr. Paleoclimatol., 108, 537–555,, 1994. 

Foster, G. L., Lear, C. H., and Rae, J. W. B.: The evolution of pCO2, ice volume and climate during the middle Miocene, Earth Planet. Sci. Lett., 344, 243–254,, 2012. 

François, R., Altabet, M. A., Yu, E.-F., Sigman, D. M., Bacon, M. P., Frank, M., Bohrmann, G., Bareille, G., and Labeyrie, L. D.: Contribution of Southern Ocean surface-water stratification to low atmospheric CO2 concentrations during the last glacial period, Nature, 389, 929–935,, 1997. 

Gaillardet, J., Lemarchand, D., Göpel, C., and Manhès, G.: Evaporation and Sublimation of Boric Acid: Application for Boron Purification from Organic Rich Solutions, Geostand. Newsl., 25, 67–75,, 2001. 

Goyet, C., Healy, R., Ryan, J., and Kozyr, A.: Global Distribution of Total Inorganic Carbon and Total Alkalinity below the Deepest Winter Mixed Layer Depths, ORNL/CDIAC-127, NDP-076, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, U.S. Department of Energy, Oak Ridge, USA, available at: (last access: 18 May 2017), 2000. 

Gray, W. R. and Evans, D.: Nonthermal Influences on Mg/Ca in Planktonic Foraminifera: A Review of Culture Studies and Application to the Last Glacial Maximum, Paleocean. Paleoclimat., 34, 306–315,, 2019. 

Greenop, R., Foster, G. L., Wilson, P. A., and Lear, C. H.: Middle Miocene climate instability associated with high-amplitude CO2 variability, Paleoceanography, 29, 2014PA002653,, 2014. 

Greenop, R., Hain, M. P., Sosdian, S. M., Oliver, K. I. C., Goodwin, P., Chalk, T. B., Lear, C. H., Wilson, P. A., and Foster, G. L.: A record of Neogene seawater δ11B reconstructed from paired δ11B analyses on benthic and planktic foraminifera, Clim. Past, 13, 149–170,, 2017. 

Greenop, R., Sosdian, S. M., Henehan, M. J., Wilson, P. A., Lear, C. H., and Foster, G. L.: Orbital Forcing, Ice Volume, and CO2 Across the Oligocene-Miocene Transition, Paleocean. Paleoclimat., 34, 316–328,, 2019. 

Hain, M. P., Sigman, D. M., Higgins, J. A., and Haug, G. H.: The effects of secular calcium and magnesium concentration changes on the thermodynamics of seawater acid/base chemistry: Implications for Eocene and Cretaceous ocean carbon chemistry and buffering, Global Biogeochem. Cy., 29, 517–533,, 2015. 

Hain, M. P., Sigman, D. M., Higgins, J. A., and Haug, G. H.: Response to Comment by Zeebe and Tyrrell on “The Effects of Secular Calcium and Magnesium Concentration Changes on the Thermodynamics of Seawater Acid/Base Chemistry: Implications for the Eocene and Cretaceous Ocean Carbon Chemistry and Buffering”, Global Biogeochem. Cy., 32, 898–901,, 2018. 

Henehan, M. J., Foster, G. L., Bostock, H. C., Greenop, R., Marshall, B. J., and Wilson, P. A.: A new boron isotope-pH calibration for Orbulina universa, with implications for understanding and accounting for “vital effects”, Earth Planet. Sci. Lett., 454, 282–292,, 2016. 

Heureux, A. M. C. and Rickaby, R. E. M.: Refining our estimate of atmospheric CO2 across the Eocene-Oligocene climatic transition, Earth Planet. Sci. Lett., 409, 329–338,, 2015. 

Hodell, D. A. and Woodruff, F.: Variations in the strontium isotopic ratio of seawater during the Miocene: Stratigraphic and geochemical implications, Paleoceanography, 9, 405–426,, 1994. 

Holbourn, A., Kuhnt, W., Simo, J. A., and Li, Q.: Middle Miocene isotope stratigraphy and paleoceanographic evolution of the northwest and southwest Australian margins (Wombat Plateau and Great Australian Bight), Paleogeogr. Paleoclimatol., 208, 1–22,, 2004. 

Holbourn, A., Kuhnt, W., Schulz, M., and Erlenkeuser, H.: Impacts of orbital forcing and atmospheric carbon dioxide on Miocene ice-sheet expansion, Nature, 438, 483–487,, 2005. 

Holbourn, A., Kuhnt, W., Schulz, M., Flores, J.-A., and Andersen, N.: Orbitally-paced climate evolution during the middle Miocene “Monterey” carbon-isotope excursion, Earth Planet. Sci. Lett., 261, 534–550,, 2007. 

Holbourn, A., Kuhnt, W., Frank, M., and Haley, B. A.: Changes in Pacific Ocean circulation following the Miocene onset of permanent Antarctic ice cover, Earth Planet. Sci. Lett., 365, 38–50,, 2013. 

Holbourn, A., Kuhnt, W., Lyle, M., Schneider, L., Romero, O., and Andersen, N.: Middle Miocene climate cooling linked to intensification of eastern equatorial Pacific upwelling, Geology, 42, 19–22,, 2014. 

Horita, J., Zimmermann, H., and Holland, H. D.: Chemical evolution of seawater during the Phanerozoic: Implications from the record of marine evaporites, Geochim. Cosmochim. Ac., 66, 3733–3756,, 2002. 

Ji, S., Nie, J., Lechler, A., Huntington, K. W., Heitmann, E. O., and Breecker, D. O.: A symmetrical CO2 peak and asymmetrical climate change during the middle Miocene, Earth Planet. Sci. Lett., 499, 134–144,, 2018. 

Jonkers, L. and Kučera, M.: Global analysis of seasonality in the shell flux of extant planktonic Foraminifera, Biogeosciences, 12, 2207–2226,, 2015. 

Knorr, G. and Lohmann, G.: Climate warming during Antarctic ice sheet expansion at the Middle Miocene transition, Nat. Geosci., 7, 376–381,, 2014. 

Kölling, M., Bouimetarhan, I., Bowles, M. W., Felis, T., Goldhammer, T., Hinrichs, K.-U., Schulz, M., and Zabel, M.: Consistent CO2 release by pyrite oxidation on continental shelves prior to glacial terminations, Nat. Geosci., 12, 929–934,, 2019. 

Kroon, D., Williams, T., Pirmez, C., Spezzaferri, S., Sato, T., and Wright, J. D.: Coupled early Pliocene-middle Miocene bio-cyclostratigraphy of Site 1006 reveals orbitally induced cyclicity patterns of Great Bahama Bank carbonate production, Proceedings of the Ocean Drilling Program, 166, 155–166,, 2000. 

Kuhnert, H., Bickert, T., and Paulsen, H.: Southern Ocean frontal system changes precede Antarctic ice sheet growth during the middle Miocene, Earth Planet. Sci. Lett., 284, 630–638,, 2009. 

Kürschner, W. M., Kvaček, Z., and Dilcher, D. L.: The impact of Miocene atmospheric carbon dioxide fluctuations on climate and the evolution of terrestrial ecosystems, P. Natl. Acad. Sci., 105, 449–453,, 2008. 

Laskar, J., Robutel, P., Joutel, F., Gastineau, M., Correia, A. C. M., and Levrard, B.: A long-term numerical solution for the insolation quantities of the Earth, Astron. Astrophys., 428, 25,, 2004. 

Lavigne, H., Epitalon, J.-M., and Gattuso, J.-P.: seacarb: seawater carbonate chemistry with R., available at: (last access: 30 October 2020), 2011. 

Lear, C. H., Rosenthal, Y., Coxall, H. K., and Wilson, P. A.: Late Eocene to early Miocene ice sheet dynamics and the global carbon cycle, Paleoceanography, 19, PA4015,, 2004. 

Lear, C. H., Mawbey, E. M., and Rosenthal, Y.: Cenozoic benthic foraminiferal Mg/Ca and Li/Ca records: Toward unlocking temperatures and saturation states, Paleoceanography, 25, PA4215,, 2010. 

Lemarchand, D., Gaillardet, J., Lewin, É., and Allègre, C. J.: The influence of rivers on marine boron isotopes and implications for reconstructing past ocean pH, Nature, 408, 951–954,, 2000. 

Leutert, T. J., Auderset, A., Martínez-García, A., Modestou, S., and Meckler, A. N.: Coupled Southern Ocean cooling and Antarctic ice sheet expansion during the middle Miocene, Nat. Geosci., 13, 634–639,, 2020. 

Lowenstein, T. K., Hardie, L. A., Timofeeff, M. N., and Demicco, R. V.: Secular variation in seawater chemistry and the origin of calcium chloride basinal brines, Geology, 31, 857–860,, 2003. 

Ma, W., Tian, J., Li, Q., and Wang, P.: Simulation of long eccentricity (400-kyr) cycle in ocean carbon reservoir during Miocene Climate Optimum: Weathering and nutrient response to orbital change, Geophys. Res. Lett., 38, L10701,, 2011. 

Ma, X., Tian, J., Ma, W., Li, K., and Yu, J.: Changes of deep Pacific overturning circulation and carbonate chemistry during middle Miocene East Antarctic ice sheet expansion, Earth Planet. Sci. Lett., 484, 253–263,, 2018. 

Martínez-Botí, M. A., Marino, G., Foster, G. L., Ziveri, P., Henehan, M. J., Rae, J. W. B., Mortyn, P. G., and Vance, D.: Boron isotope evidence for oceanic carbon dioxide leakage during the last deglaciation, Nature, 518, 219–222,, 2015. 

Mashiotta, T. A., Lea, D. W., and Spero, H. J.: Glacial-interglacial changes in Subantarctic sea surface temperature and δ18O-water using foraminiferal Mg, Earth Planet. Sci Lett., 170, 417–432,, 1999. 

McKay, D. I. A., Tyrrell, T., and Wilson, P. A.: Global carbon cycle perturbation across the Eocene-Oligocene climate transition, Paleoceanography, 31, 311–329,, 2016. 

Misra, S., Owen, R., Kerr, J., Greaves, M., and Elderfield, H.: Determination of δ11B by HR-ICP-MS from mass limited samples: Application to natural carbonates and water samples, Geochim. Cosmochim. Ac., 140, 531–552,, 2014. 

Mortyn, P. G. and Charles, C. D.: Planktonic foraminiferal depth habitat and δ18O calibrations: Plankton tow results from the Atlantic sector of the Southern Ocean, Paleoceanography, 18, 1037,, 2003. 

Myers, S. R.: Astrochron: An R Package for Astrochronology, available at: (last access: 8 January 2019), 2014. 

Ohneiser, C. and Wilson, G. S.: Eccentricity-Paced Southern Hemisphere Glacial-Interglacial Cyclicity Preceding the Middle Miocene Climatic Transition, Paleocean. Paleoclimat., 33,, 2018. 

Pagani, M., Freeman, K. H., and Arthur, M. A.: Late Miocene Atmospheric CO2 Concentrations and the Expansion of C4 Grasses, Science, 285, 876–879,, 1999. 

Paillard, D. and Donnadieu, Y.: A 100 Myr history of the carbon cycle based on the 400 kyr cycle in marine δ13C benthic records, Paleoceanography, 29, 1249–1255,, 2014. 

Paulsen, H.: Miocene changes in the vertical structure of the Southeast Atlantic near-surface water column: Influence on the paleoproductivity, PhD thesis, Universität Bremen, FB Geowissenschaften, Bremen, Germany, available at: (last access: 24 November 2020), 2005. 

Pearson, P. N. and Palmer, M. R.: Atmospheric carbon dioxide concentrations over the past 60 million years, Nature, 406, 695–699,, 2000. 

Pearson, P. N., Foster, G. L., and Wade, B. S.: Atmospheric carbon dioxide through the Eocene-Oligocene climate transition, Nature, 461, 1110–1113,, 2009. 

Rae, J. W. B., Foster, G. L., Schmidt, D. N., and Elliott, T.: Boron isotopes and B/Ca in benthic foraminifera: Proxies for the deep ocean carbonate system, Earth Planet. Sci. Lett., 302, 403–413,, 2011. 

Raitzsch, M. and Hönisch, B.: Cenozoic boron isotope variations in benthic foraminifers, Geology, 41, 591–594,, 2013. 

Raitzsch, M., Kuhnert, H., Groeneveld, J., and Bickert, T.: Benthic foraminifer Mg/Ca anomalies in South Atlantic core top sediments and their implications for paleothermometry, Geochem. Geophy. Geosy., 9, Q05010,, 2008. 

Raitzsch, M., Bijma, J., Benthien, A., Richter, K.-U., Steinhoefel, G., and Kučera, M.: Boron isotope-based seasonal paleo-pH reconstruction for the Southeast Atlantic – A multispecies approach using habitat preference of planktonic foraminifera, Earth Planet. Sci. Lett., 487, 138–150,, 2018. 

Raitzsch, M., Rollion-Bard, C., Horn, I., Steinhoefel, G., Benthien, A., Richter, K.-U., Buisson, M., Louvat, P., and Bijma, J.: Technical note: Single-shell δ11B analysis of Cibicidoides wuellerstorfi using femtosecond laser ablation MC-ICPMS and secondary ion mass spectrometry, Biogeosciences, 17, 5365–5375,, 2020. 

Reolid, J., Betzler, C., and Lüdmann, T.: The record of Oligocene – Middle Miocene paleoenvironmental changes in a carbonate platform (IODP Exp. 359, Maldives, Indian Ocean), Mar. Geol., 412, 199–216,, 2019. 

Reuning, L., Reijmer, J. J. G., and Betzler, C.: Sedimentation cycles and their diagenesis on the slope of a Miocene carbonate ramp (Bahamas, ODP Leg 166), Mar. Geol., 185, 121–142,, 2002. 

Ridgwell, A.: A Mid Mesozoic Revolution in the regulation of ocean chemistry, Mar. Geol., 217, 339–357,, 2005. 

Shackleton, N. J.: Attainment of isotopic equilibrium between ocean water and the benthonic foraminifera genus Uvigerina: isotopic changes in the ocean during the last glacial, Cent. Nat. Rech. Sci. Colloq. Int., 219, 203–209, 1974. 

Shevenell, A. E. and Kennett, J. P.: Paleoceanographic Change During the Middle Miocene Climate Revolution: An Antarctic Stable Isotope Perspective, in: The Cenozoic Southern Ocean: Tectonics, Sedimentation, and Climate Change Between Australia and Antarctica, American Geophysical Union, Washington, DC, USA, 235–251, 2004. 

Shevenell, A. E., Kennett, J. P., and Lea, D. W.: Middle Miocene Southern Ocean Cooling and Antarctic Cryosphere Expansion, Science, 305, 1766–1770,, 2004. 

Shevenell, A. E., Kennett, J. P., and Lea, D. W.: Middle Miocene ice sheet dynamics, deep-sea temperatures, and carbon cycling: A Southern Ocean perspective, Geochem. Geophy. Geosy., 9, Q02006,, 2008. 

Sosdian, S. M. and Lear, C. H.: Initiation of the Western Pacific Warm Pool at the Middle Miocene Climate Transition?, Paleocean. Paleoclimat., 35, e2020PA003920,, 2020. 

Sosdian, S. M., Greenop, R., Hain, M. P., Foster, G. L., Pearson, P. N., and Lear, C. H.: Constraining the evolution of Neogene ocean carbonate chemistry using the boron isotope pH proxy, Earth Planet. Sci. Lett., 498, 362–376,, 2018. 

Sosdian, S. M., Babila, T. L., Greenop, R., Foster, G. L., and Lear, C. H.: Ocean Carbon Storage across the middle Miocene: a new interpretation for the Monterey Event, Nat. Commun., 11, 1–11,, 2020. 

Stoll, H. M., Guitian, J., Hernandez-Almeida, I., Mejia, L. M., Phelps, S., Polissar, P., Rosenthal, Y., Zhang, H., and Ziveri, P.: Upregulation of phytoplankton carbon concentrating mechanisms during low CO2 glacial periods and implications for the phytoplankton pCO2 proxy, Quat. Sci. Rev., 208, 1–20,, 2019. 

Super, J. R., Thomas, E., Pagani, M., Huber, M., O'Brien, C., and Hull, P. M.: North Atlantic temperature and pCO2 coupling in the early-middle Miocene, Geology, 46, 519–522,, 2018. 

Takahashi, T., Olafsson, J., Goddard, J. G., Chipman, D. W., and Sutherland, S. C.: Seasonal variation of CO2 and nutrients in the high-latitude surface oceans: A comparative study, Global Biogeochem. Cy., 7, 843–878,, 1993. 

Takahashi, T., Sutherland, S. C., Wanninkhof, R., Sweeney, C., Feely, R. A., Chipman, D. W., Hales, B., Friederich, G., Chavez, F., Sabine, C., Watson, A., Bakker, D. C. E., Schuster, U., Metzl, N., Yoshikawa-Inoue, H., Ishii, M., Midorikawa, T., Nojiri, Y., Körtzinger, A., Steinhoff, T., Hoppema, M., Olafsson, J., Arnarson, T. S., Tilbrook, B., Johannessen, T., Olsen, A., Bellerby, R., Wong, C. S., Delille, B., Bates, N. R., and de Baar, H. J. W.: Climatological mean and decadal change in surface ocean pCO2, and net sea-air CO2 flux over the global oceans, Deep-Sea Res., 56, 554–577,, 2009. 

Tian, J., Shevenell, A., Wang, P., Zhao, Q., Li, Q., and Cheng, X.: Reorganization of Pacific Deep Waters linked to middle Miocene Antarctic cryosphere expansion: A perspective from the South China Sea, Paleogeogr. Paleoclimatol., 284, 375–382,, 2009. 

Timofeeff, M. N., Lowenstein, T. K., da Silva, M. A. M., and Harris, N. B.: Secular variation in the major-ion chemistry of seawater: Evidence from fluid inclusions in Cretaceous halites, Geochim. Cosmochim. Ac., 70, 1977–1994,, 2006. 

Toggweiler, J. R.: Origin of the 100 000-year timescale in Antarctic temperatures and atmospheric CO2, Paleoceanography, 23, PA2211,, 2008. 

Tyrrell, T. and Zeebe, R. E.: History of carbonate ion concentration over the last 100 million years, Geochim. Cosmochim. Ac., 68, 3521–3530,, 2004. 

van der Ploeg, R., Boudreau, B. P., Middelburg, J. J., and Sluijs, A.: Cenozoic carbonate burial along continental margins, Geology, 47, 1025–1028,, 2019. 

Vincent, E. and Berger, W. H.: Carbon dioxide and polar cooling in the Miocene: the Monterey hypothesis, in: The Carbon Cycle and Atmospheric CO2: Natural Variations Archean to Present, edited by: Sundquist, E. T. and Broecker, W. S., American Geophysical Union, Washington, USA, 455–468,, 1985. 

Wan, S., Kürschner, W. M., Clift, P. D., Li, A., and Li, T.: Extreme weathering/erosion during the Miocene Climatic Optimum: Evidence from sediment record in the South China Sea, Geophys. Res. Lett., 36, L19706,, 2009. 

Wang, B.-S., You, C.-F., Huang, K.-F., Wu, S.-F., Aggarwal, S. K., Chung, C.-H., and Lin, P.-Y.: Direct separation of boron from Na- and Ca-rich matrices by sublimation for stable isotope measurement by MC-ICP-MS, Talanta, 82, 1378–1384,, 2010. 

Wang, P.: Global monsoon in a geological perspective, Chin. Sci. Bull., 54, 1113–1136,, 2009. 

Williams, T., Kroon, D., and Spezzaferri, S.: Middle and Upper Miocene cyclostratigraphy of downhole logs and short- to long-term astronomical cycles in carbonate production of the Great Bahama Bank, Mar. Geol., 185, 75–93,, 2002.  

Woodruff, F. and Savin, S.: Mid-Miocene isotope stratigraphy in the deep sea: high resolution correlations, paleoclimatic cycles, and sediment preservation, Paleoceanography, 6, 755–806,, 1991. 

Wright, J. D., Miller, K. G., and Fairbanks, R. G.: Early and Middle Miocene stable isotopes: Implications for Deepwater circulation and climate, Paleoceanography, 7, 357–389,, 1992. 

Zeebe, R. E. and Tyrrell, T.: History of carbonate ion concentration over the last 100 million years II: Revised calculations and new data, Geochim. Cosmochim. Ac., 257, 373–392,, 2019. 

Zeebe, R. E. and Wolf-Gladrow, D. A.: CO2 in Seawater: Equilibrium, Kinetics, Isotopes, Elsevier Oceanography Series, Amsterdam, the Netherlands, 2001. 

Short summary
At approximately 14 Ma, the East Antarctic Ice Sheet expanded to almost its current extent, but the role of CO2 in this major climate transition is not entirely known. We show that atmospheric CO2 might have varied on 400 kyr cycles linked to the eccentricity of the Earth’s orbit. The resulting change in weathering and ocean carbon cycle affected atmospheric CO2 in a way that CO2 rose after Antarctica glaciated, helping to stabilize the climate system on its way to the “ice-house” world.