The GMOC in density coordinates
Fig. 1a,e-g and Fig. 2a,e-g show the GMOC transport streamfunction (contours) and its interdecadal changes in density coordinates during 2005-2017, 1995-2004, 1985-1994 and 1975-1984 compared to the reference period of 1955-1974 (color shades) in the Southern and Indo-Pacific Oceans, and the Atlantic Ocean, respectively. Fig. 1b-d and Fig. 2b-d show the vertical profiles of overturning streamfunction at selected latitudes in the Southern and Indo-Pacific Oceans (65°S, 43°S and 30°S) and the Atlantic Ocean (30°S, 26.5°N and 55°N), respectively. The differences in GMOC transport values between 2005-2017 and 1955-1975 for various water masses are also shown at these latitudes. Red colored values are for the increased transport values, and blue colored are for the decreased transport values.
The GMOC transport streamfunction (ψ) in density coordinates can be defined as follows
where t is time, y is latitude, x is longitude, σ2 is potential density referenced to 2000 m, and v is the meridional velocity. See supplementary Fig. S1 for a schematic of the GMOC and the list of water masses referenced in this study44,47,48.
The Southern and Indo-Pacific Oceans
As summarized in Fig. 1, the data-constrained model simulations show a robust strengthening and poleward-downward (in density space) expansion of the upper overturning cell in the Southern Ocean since the mid-1970s. Specifically, at the core latitude of the upper overturning cell (43°S), the poleward transport of Upper Circumpolar Deep Water (UCDW) is increased by 3.5 Sv in 2005-2017 compared to its value in the reference period of 1955-1974 (a 56% increase from the total transport of 6.3 Sv, Fig. 1c). Note that the lower boundary of UCDW at which the transport streamfunction (ψ) becomes zero is displaced downward into denser water. This is compensated by an increase in the equatorward transport of surface and intermediate-depth waters (SFCW and INTDW by 3.5 Sv, σ2 < 36.70). Note that the rate of surface water transformation to Antarctic Intermediate Depth Water (AAIW) and sub-Arctic mode water, which occurs north of on average 43°S, is increased by up to 3 Sv (Fig. 1c). This is consistent with the observed decrease in the age of AAIW and sub-Antarctic mode water from the early 1990s to the late 2000s detected through measurements of chlorofluorocarbon-1237. Hereafter, if not specified, AAIW and sub-Antarctic mode water are referred to as AAIW for simplicity. The enhanced surface-to-AAIW transformation provides the important pulling mechanism required to sustain the strengthened upper overturning cell. This point is discussed in more detail in later sections.
The persistent strengthening and poleward-downward (in density space) expansion of the upper overturning cell is accompanied by a weakening and contraction of the lower overturning cell, consistent with a decrease in the AABW volume observed throughout the Southern Ocean since the 1980s15. Specifically, at the core latitude of the lower overturning cell (65°S), the outflow of AABW is decreased by 3.3 Sv in 2005-2017 compared to its value in 1955-1974 (a 16% decrease from the total transport of 21.0 Sv, Fig. 1b). This is compensated by a reduced poleward transport of Lower Circumpolar Deep Water (LCDW). The reduced outflow of AABW is also evident at 43°S (by 1.4 Sv in 2005-2017 compared to its value in 1955-1974, a 14% decrease from the total northward transport of 10.0 Sv), which is compensated by a reduced poleward transport of LCDW (Fig. 1c). At this latitude, the upper boundary of LCDW, at which the transport streamfunction (ψ) becomes zero, is displaced downward into denser water.
It is interesting to note that there is a near-cancelation between the increase in the poleward UCDW transport (by 3.5 Sv at 43°S) and the decrease in the poleward LCDW transport (by 3.3 Sv at 65°S) (Fig. 1b,c). This indicates that the net upward transport of CDW averaged between 43°S and 65ºS remains almost the same in 2005-2007 compared to the reference period in 1955-1974. The near-cancelation of the upward CDW transport change is well reflected in the poleward and downward (in density space) expansion of the upper overturning cell and the contraction of the lower overturning cell between 43°S and 65ºS. In other words, the increase in water mass supply to the upper overturning cell and the decrease in water mass supply to the lower overturning cell are largely achieved through a realignment of the boundary between the upper and lower overturning cells within the Southern Ocean.
In response to the altered overturning cells in the Southern Ocean, a large-scale readjustment of the GMOC is slowly underway in the Indo-Pacific Ocean during the most recent decade (Fig. 1a). Specifically, the import of AABW across 30°S (σ2 > 37.17) into the Indo-Pacific Ocean is reduced by about 0.9 Sv during 2005-2017 compared to its value during 1955-1974 (a 7% decrease from the total transport of 12.9 Sv, Fig. 1d). Across the same latitude, the poleward export of Indian Deep Water & Pacific Deep Water (IDW & PDW or IPDW, 36.50 > σ2 > 37.17), which is a source of UCDW in the Southern Ocean, increases slightly by about 0.5 Sv (a 5% increase from the total transport of 10.0 Sv), and thus provides a small portion of the extra water mass supply for the enhanced upper overturning cell in the Southern Ocean. The increased poleward export of IPDW across 30°S is in turn largely compensated by an increase in the import of AAIW (35.70 > σ2 > 36.50) from the Southern Ocean by about 0.4 Sv (a 9% increase from the total transport of 4.3 Sv). The net poleward transport of the surface water (SFCW, 35.70 < σ2) across 30°S is reduced by about 1.0 Sv (a 14% decrease from the total transport of 7.2 Sv) closing the mass transport balance at that latitude. See supplementary Fig. S2 for more details of the results for the 1975-1984, 1985-1994 and 1995-2004 periods.
The Atlantic Ocean
As shown in Fig. 2a, the largest interdecadal signal in the Atlantic Ocean is the appearance of negative streamfunction anomalies between 30°S and 26.5°N in 2005-2017, centered around σ2 = 37.10 between LNADW (σ2 > 37.10) and Upper North Atlantic Deep Water (UNADW, 36.90 > σ2 > 37.10). Consequently, the southward LNADW transport is reduced by 1.1 Sv at 30°S (a 9% reduction from the total transport of 12.7 Sv), and by 0.8 Sv at 26.5°N (an 8% reduction from the total of 9.5 Sv), whereas the southward UNADW transport is slightly increased by 0.5 Sv at 30°S (a 9% increase from the total transport of 5.4 Sv), and by 0.3 Sv at 26.5°N (a 4% increase from the total of 7.2 Sv) (Fig. 2b,c). Since the reduction of the southward LNADW transport is greater than the increase in the southward UNADW transport, the net southward return flow is decreased by 0.5 ~ 0.6 Sv at 30°S and 26.5°N. To compensate for the net decrease in the southward return flow, the northward transport of INTDW (36.50 > σ2 > 36.90) is decreased by about 0.6 ~ 0.7 Sv with little change in the northward transport of SFCW (35.70 > σ2) or AAIW (35.70 > σ2 > 36.50) at 30°S and 26.5°N.
However, the AMOC at its core latitude (55°N) is slightly increased (Fig. 2d) and thus is disconnected from the reduced AMOC south of 26.5°N. At this latitude, the AMOC transport displays large-amplitude interdecadal variability (Fig. 3b). In particular, the AMOC transport at 55°N is increased by 2.1 Sv in 1995-2004 and decreased by 0.9 Sv in 1985-1994 compared to its value in 1955-1974 (supplementary Fig. S3d & h). According to ocean & sea-ice models forced with historical surface flux fields, the North Atlantic Oscillation (NAO) is the main driver of the AMOC variability at interannual to interdecadal time scales49-51. However, due to a baroclinic adjustment time of the subpolar North Atlantic Ocean circulation, it takes 3 ~ 15 years for the AMOC to respond to the NAO-induced surface buoyancy forcing and associated deep water formation49,52.
This suggests that the large increase in the AMOC at 55°N in 1995-2004 is a delayed response to a strong phase of the NAO in 1985-1994, which is closely tied to the deepest and densest Labrador Sea Water formed during that period53 (Fig. 3). Similarly, it is likely that the relatively weak AMOC transport at 55°N during the decades prior to and after 1995-2004 are due to the relatively weak NAO phases and associated reductions in Labrador Sea Water formation prior to 1985-1994 and after 1995-200453. These results strongly suggest that the AMOC changes at 55°N during the past several decades are not externally forced by increasing greenhouse gases but largely modulated by long-term natural climate variability associated with the NAO50,51. Indeed, similar interdecadal AMOC variations are also evident at 26.5°N and 30°S (Fig. 3b). This conclusion is also consistent with several recent studies based on various proxies, historical transects and ocean reanalyses43,54-56, including two recent AMOC reconstructions for the past 30 years55,56. Therefore, it is likely that the previously reported weakening of the AMOC at 26.5°N during 2008-2016 compared to its value during 2004-200722 is due to long-term natural climate variability associated with the NAO.
However, some proxy-based studies suggested a long-term reduction in the AMOC since the earlier twentieth century57,58. What this suggests is that a potential long-term weakening of the AMOC linked to key drivers or proxies51,59-62 may be embedded in the NAO-dominated AMOC variability during the past several decades. Such drivers (or proxies) include a gradual freshening of the Labrador Sea linked to increasing Greenland meltwater discharge58, a reduction of the ocean-to-air turbulent flux over the Greenland and Iceland Seas due to rapidly rising air temperatures60, a potential impact of retreating sea-ice cover along the regional boundary currents61, and a spreading of Arctic surface waters into the North Atlantic through Fram and David Straits62. However, none of these potential drivers from the high-latitude North Atlantic or the Arctic region can explain why the southward LNADW transport between 30°S and 26.5°N is at its minimum value in 2005-2017 (Fig. 2 and supplementary Fig. S3), while the AMOC at 55°N is still stronger in 2005-2017 compared to its values during 1965-1974, 1975-1984 and 1985-1994 periods (Fig. 3b). An alternative explanation is that the AMOC changes south of 26.5°N during 2005-2017 in reference to 1955-1974 are driven from the Southern Ocean. Specifically, given that LNADW is the primary source of LCDW that feeds the lower overturning cell in the Southern Ocean, the reduced southward transport of LNADW is consistent with the weakened and contracted lower overturning cell in the Southern Ocean. Similarly, the increased southward return flow of UNADW is in line with the increased poleward transport of UCDW and the associated strengthening of the upper overturning cell in the Southern Ocean. This hypothesis supports the notion that a large-scale readjustment of the AMOC is gradually underway during the most recent decade (2005-2017) in response to the altered overturning cells in the Southern Ocean.
Anthropogenic drivers for the Southern Ocean
The strengthening and poleward-downward (in density space) expansion of the upper overturning cell south of 35°S is consistent with the strengthening SH westerlies and the associated increase in Ekman transport since the mid-1970s (Fig. 4 in the left panels), which is primarily caused by ozone depletion in the SH stratosphere and increasing CO2 in the atmosphere32-36. However, the increased Ekman transport alone cannot sustain the strengthened upper overturning cell. There must be additional surface buoyancy loss and associated water mass transformation63,64. Otherwise, the increased Ekman transport is almost completely compensated by eddy-induced poleward transport in the Southern Ocean (i.e., eddy compensation38-41). The required additional pulling of the upper overturning cell is mainly provided by reduced precipitation minus evaporation (i.e., Δ(P – E) < 0)65,66 and associated surface buoyancy loss across the sub-Antarctic region approximately between 50°S and 35°S (Fig. 4 in the left panels). More specifically, the net buoyancy loss in the latitude band of approximately 45°S - 35°S is largely accomplished by a decrease in precipitation, and an increase in evaporation and associated latent cooling (Fig. 5b and 5c). These buoyancy loss terms overcompensate the buoyancy gain associated with reduced sensible heat flux (i.e., less sensible cooling at the sea surface mainly due to increasing air temperatures, not shown) and increased longwave radiation (mainly due to an increase in downward longwave radiation linked to increasing greenhouse gases in the atmosphere, not shown).
Note that the meridional Δ(P – E) pattern poleward of 35°S, which is also a robust feature during the positive phase of the Southern Annular Mode65-67, is mainly driven by SH stratospheric ozone loss (and by increasing CO2 in the atmosphere to a lesser degree)65,68,69. More specifically, the increased P - E between the Antarctic coast and roughly 50°S is due to increased storm activity associated with the increased SH westerlies, whereas the decreased P - E across the sub-Antarctic region approximately between 50°S and 35°S is linked to an increase in the SH Ferrel cell (Fig. 5) and the associated increase in atmospheric subsidence and poleward moisture transport (and thus moisture divergence and drying) in that latitude band65-67,69. The resulting net surface buoyancy loss between approximately 45°S and 35°S increases the rate of surface-to-AAIW transformation north of (on average) 43°S and thus explains up to 3 Sv of the total 3.5 Sv increase in the upper overturning cell (Fig. 1c).
It should be noted that the SH Ferrel cell is not only linked to P - E, but also to the SH westerlies via its modulation of the low sea-level pressure over the rising branch (65°S - 50°S), the high sea-level pressure over the sinking branch (45°S - 35°S) and the associated meridional sea-level pressure gradient. Therefore, the robust increase in the SH Ferrel cell since the mid-1970s explains both the increasing SH westerlies and the increasing surface buoyancy loss over the sinking branch (Fig. 5). Note that the link between SH stratospheric ozone loss, SH stratospheric cooling, and strengthening of the eddy-driven SH westerly jet and Ferrel cell has been well studied through observations and model experiments65,68,69.
According to some modeling studies, the enhanced SH westerlies increase the wind-driven upwelling of Circumpolar Deep Water (CDW) to the surface enhancing both the upper and lower overturning cells38-40,70. This suggests that the weakening and contraction of the lower overturning cell are driven by some other processes. It should be noted that the lower overturning cell in the Southern Ocean is primarily driven by sinking of dense Antarctic shelf waters63. Fig. 4 in the right panels indicates a persistent freshening of the surface water around the Ross Sea and associated reduction of the surface density (also near the Prydz Bay to a lesser degree) since the mid-1970s. This is well supported by earlier observational studies71-73. According to these studies, the enhanced melting of Antarctic ice shelves due to increasing CO2 in the atmosphere increases the Antarctic meltwater discharge into the Amundsen-Bellingshausen Seas. The downstream (westward) transport of the extra freshwater into the Ross Sea via the Antarctic coastal current is directly responsible for the freshening of the Ross Sea shelf waters. The increased near-surface stratification (i.e., buoyancy gain) in turn reduces deep water formation around the Ross ice shelf, and thus leads to a decrease in the supply of AABW17. It is worthwhile to point out that the enhancement in Antarctic meltwater discharge is not explicitly included in the data-constrained model simulations44, but its impact on salinity and density is implicitly accounted for via the restoration of model salinity toward observations.
Sensitivity of the data-constrained ocean & sea-ice model
The data-constrained modeling approach employed in this study estimates global ocean circulations that are consistent with the decadally averaged World Ocean Atlas 2018 climatology74,75 using a dynamically consistent surface-forced ocean & sea-ice model (Methods). As such, the data-constrained model is subject to its inherent uncertainties originating from both the ocean & sea-ice model and observational datasets used. Therefore, it is further tested here to what extent the results derived from the primary set of data-constrained model simulations are robust with respect to two key sources of uncertainty, namely hydrographic temperature and salinity data, and surface forcing fields. In the first set of sensitivity experiments, the primary set of data-constrained experiments, including the spin-up run, were repeated by restoring the model temperature and salinity fields toward the decadally averaged EN4 climatology76,77. The second set of sensitivity experiments were carried out by using the surface forcing fields derived from the Japanese 55-year reanalysis (JRA55)78 replacing the European Centre for Medium-Range Weather Forecasts reanalysis-5 (ERA5)79, which was used in the primary set of experiments (Methods).
Although there are some differences, a very good agreement is found in the GMOC and its interdecadal changes between the WOA18- and EN4-constrained model experiments (supplementary Fig. S4 and S5). Similarly, the GMOC and its interdecadal changes since the mid-1950s are overall consistent between the ERA5- and JRA55-forced model experiments (supplementary Fig. S6 and S7). The primary set of data-constrained model simulations and the two additional sets of sensitivity simulations are further used to estimate the signal (mean) to noise ratio (standard deviation) of the differences in the GMOC transport values between 2005-2017 and 1955-1974 at selected latitudes (supplementary Tables S1 and S2). For key GMOC transports, the mean change is about 5 ~ 16 times larger than the standard deviation. For instance, in the Southern and Indo-Pacific Oceans, the outflow of AABW is reduced by 3.5±0.5 Sv and 1.6±0.1 Sv at 65°S, and 43°S, respectively, and by 1.0±0.2 Sv at 30°S in the Indo-Pacific Ocean. The poleward transport of UCDW is increased by 3.1±0.3 Sv at 43°S. In the Atlantic Ocean, the southward transport of LNADW is reduced by 0.9±0.2 Sv at 30°S, while the southward transport of UNADW is increased by 0.5±0.1 Sv at the same latitude. Therefore, although this is a primitive way to estimate the robustness of the results, the interdecadal changes in the GMOC reported in this study are overall consistent with respect to the hydrographic data and surface forcing fields used.