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the Creative Commons Attribution 4.0 License.
Role of air–sea fluxes and ocean surface density in the production of deep waters in the eastern subpolar gyre of the North Atlantic
Tillys Petit
M. Susan Lozier
Simon A. Josey
Stuart A. Cunningham
Wintertime convection in the North Atlantic Ocean is a key component of the global climate as it produces dense waters at high latitudes that flow equatorward as part of the Atlantic Meridional Overturning Circulation (AMOC). Recent work has highlighted the dominant role of the Irminger and Iceland basins in the production of North Atlantic Deep Water. Dense water formation in these basins is mainly explained by buoyancy forcing that transforms surface waters to the deep waters of the AMOC lower limb. Air–sea fluxes and the ocean surface density field are both key determinants of the buoyancy-driven transformation. We analyze these contributions to the transformation in order to better understand the connection between atmospheric forcing and the densification of surface water. More precisely, we study the impact of air–sea fluxes and the ocean surface density field on the transformation of subpolar mode water (SPMW) in the Iceland Basin, a water mass that “pre-conditions” dense water formation downstream. Analyses using 40 years of observations (1980–2019) reveal that the variance in SPMW transformation is mainly influenced by the variance in density at the ocean surface. This surface density is set by a combination of advection, wind-driven upwelling and surface fluxes. Our study shows that the latter explains ∼ 30 % of the variance in outcrop area as expressed by the surface area between the outcropped SPMW isopycnals. The key role of the surface density in SPMW transformation partly explains the unusually large SPMW transformation in winter 2014–2015 over the Iceland Basin.
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Recent observational studies have identified two main source regions for the dense waters that constitute the lower limb of the Atlantic Meridional Overturning Circulation (AMOC): the Nordic Seas and the Irminger and Iceland basins (Lozier et al., 2019). While these two regions produce approximately the same amount of dense waters, the interannual variability of the AMOC in the subpolar North Atlantic can be largely attributed to variability in the dense waters produced in the eastern subpolar region rather than those imported from the Nordic Seas (Bringedal et al., 2018; Chafik and Rossby, 2019; Petit et al., 2020). A recent study based on observations shows that the production of dense waters in the Irminger and Iceland basins is mainly due to local buoyancy forcing (Petit et al., 2020). Specifically, between the Greenland–Scotland Ridge and the OSNAP East section (Fig. 1), 7.0 ± 2.5 Sv of light water was transformed into dense water of the AMOC lower limb in 2014–2016. This transformation is consistent with an average overturning of 6.6 ± 3.8–7.6 ± 3.8 Sv between the two sections during those same years.
Because the transformation of dense waters mainly drives AMOC variability in this region, we seek to understand what factors drive variability in the transformation, which was twice as large in winter 2014–2015 as it was in winter 2015–2016 (Petit et al., 2020). Two variables are key to transformation estimates: the air–sea fluxes and the ocean surface densities. The air–sea fluxes are known to be highly variable in time over the subpolar gyre. For instance, Josey et al. (2019) showed strong seasonal and interannual variability of the net heat flux over the Irminger Sea from a high-resolution surface flux mooring. Changes in net heat flux – as opposed to changes in the surface salinity field or in the surface freshwater flux – are considered to be mainly responsible for the amount of transformed water (Grist et al., 2014). Another recent study, however, has suggested that ocean surface properties play a role in the transformation of surface waters. Oltmanns et al. (2018) revealed that warm and fresh summers in the subpolar gyre are associated with a reduced buoyancy loss the following winter. Hydrographic property changes are thus expected to affect the transformation of surface water by modifying the surface density fields.
Observational studies in the last few years have highlighted large temperature and salinity changes over the eastern subpolar gyre (Holliday et al., 2020; Josey et al., 2018). The density anomalies associated with these property changes are expected to influence the overturning over the Irminger and Iceland Basin and thus the amount of dense water transported southward to the subtropical gyre (Jackson et al., 2016; Ortega et al., 2020; Zou et al., 2020). At odds with this expectation, however, is a recent study (Fu et al., 2020) that showed a relatively stable AMOC state since the 1990s, in spite of large hydrographic property changes over the subpolar gyre during the same time period. This stability suggests either that hydrographic property changes have only a small influence on the transformation or that a lagged response of the overturning to property changes applies over longer timescales than their 30-year period of observations. Motivated by these past studies, we assess the role of hydrographic property changes on the formation of dense water in the eastern subpolar North Atlantic.
In this study, we focus on the factors that determine the transformation of subpolar mode water (SPMW) in the Iceland Basin. SPMW is identified by uniform hydrographic properties in the winter mixed layer of the subpolar gyre (McCartney and Talley, 1982) and is often defined by potential vorticity < 4 × 10−11 over the eastern subpolar gyre (Talley, 1999). In contact with the atmosphere, its hydrographic properties vary along the cyclonic pathway of the subpolar gyre, increasing in density westward across the Iceland Basin from 27.3 to 27.5 kg m−3 (Brambilla and Talley, 2008; Langehaug et al., 2012; Thierry et al., 2008). The SPMW, considered the “pre-conditioned” water mass that forms North Atlantic Deep Water (NADW), is further densified in the Irminger and Labrador seas (Brambilla et al., 2008; de Boisséson et al., 2012).
The westward freshening and cooling of SPMW, evident in the OSNAP East hydrographic section from 2014–2016 (Fig. 1b), transforms light SPMW in the North Atlantic Current (NAC) branches to the relatively dense NADW in the East Greenland Current. As observed by the spread of temperatures and salinities along the 27.74 kg m−3 in the Irminger Gyre (Fig. 1b), the NADW imported from the Labrador Sea to the Irminger Sea has a similar density to (Faure and Speer, 2005; Fischer et al., 2018; Jakobsen et al., 2003; Petit et al., 2019) but is slightly fresher and colder than the NADW formed by SPMW densification within the eastern subpolar basin and exported via the East Greenland Current. The transformation of SPMW in the layer 27.3–27.5 kg m−3 over the Iceland Basin (line segments 1–4 in Fig. 1a) is the focus of our study.
As explained in Sect. 2, we use observational data sets and sensitivity analysis to explore the dependence of SPMW transformation on the air–sea fluxes and surface densities over a 40-year period. We examine the linkage between buoyancy forcing and the surface density field in Sect. 3, while the sensitivity analyses are discussed in Sect. 4. Section 5 is focused on the unusually large SPMW transformation observed in winter 2014–15, and we summarize our results in Sect. 6.
2.1 The OSNAP observations
We used gridded data across the OSNAP East section to observe the evolution of hydrographic properties in the Iceland Basin and Irminger Sea (Fig. 1; Lozier et al. (2017)). Based on 32 moorings, the gridded section has a nominal horizontal resolution of ∼ 25 km from the Scottish shelf to the southeast tip of Greenland and a vertical resolution of ∼ 20 m (Lozier et al., 2019). The data are composed of continuous measurements of salinity, temperature and velocity between August 2014 to May 2018 (Li et al., 2021). The gridded data set was constructed by combining OSNAP mooring data with other observations in the region following an objective analysis (Li et al., 2017). The other observations include Argo profiling floats, OSNAP gliders, shipboard conductivity, temperature and depth stations employed during the 2014 and 2016 OSNAP cruises, and the WORLD Ocean Atlas 2018 climatology.
2.2 Transformation estimated from atmospheric reanalysis
To estimate the transformation of surface water by air–sea fluxes, we use heat and freshwater fluxes of the European Centre for Medium Range Weather Forecasts Reanalysis 5 (ERA5) atmospheric reanalysis (Poli et al., 2016). These monthly fields are combined with monthly surface temperature and salinity fields over the eastern subpolar gyre between 1980–2019. Surface temperature is derived from ERA5, while salinity, at 5 m depth, is derived from quality-controlled profiles in EN4.2.1 (Good et al., 2013). With a horizontal resolution of 1∘, the gridded salinity field is subsampled onto the finer ERA5 horizontal grid of 30 km. We also use EN4.2.1 to calculate potential vorticity () in the Iceland Basin, where f is the Coriolis parameter, σ0 is the potential density referenced to the surface, and is the vertical gradient of potential density at mid-depths.
Following past work (Desbruyères et al., 2019; Speer and Tziperman, 1992; Tziperman, 1986; Walin, 1982), the evaporation (E), precipitation (P) and net heat flux into the ocean (Q) are used to estimate the surface-forced transformation (SFT) across an isopycnal, σ, as follows:
where
α is the thermal expansion coefficient, β is the haline contraction coefficient, CP is the specific heat and S is the 5 m salinity. Temperature and salinity are used to calculate surface density referenced to the surface, σθ (Gill, 1982). For each month and each isopycnal, σθ, the local buoyancy flux (term in square brackets) is integrated over the surface area of the associated density bin, Δσ. Thus, SFT has a non-zero value for those months when the specified isopycnals outcrop; otherwise it is set to zero. To focus on the transformation within the SPMW layer (27.3–27.5 kg m−3), we estimate the transformation across the isopycnal 27.4 kg m−3 toward higher or lower densities using a density bin size of Δσ = 0.2 kg m−3. From this equation, we note that air–sea fluxes influence the transformation both directly, through the buoyancy flux term, and indirectly by partially setting the area covered by a particular surface density range, which is also influenced by the ocean circulation. We thus expect these two factors (i.e., surface density and buoyancy flux) to share some dependence. We explore this dependence in Sect. 3.
Previous studies have shown the utility of transformation maps to highlight the migration of intense transformation for different density bins over the subpolar and subtropical gyres (Brambilla et al., 2008; Maze et al., 2009). Although the equation above can be used to integrate the transformation for any density bin, the integrand is calculated only over the surface area for the specified isopycnals that bracket the density of the source water for SPMW. Thus, the integration yields the magnitude of the transformation over the domain. In Sect. 4, we visualize the spatial distribution of the SPMW transformation variability by mapping the standard deviation of SFT and explore its sensitivity to two factors: the surface density and the air–sea fluxes. As further described below, annual SPMW transformations are estimated with time variable and/or monthly climatological surface density (D, which includes the variability of surface salinity and temperature) and air–sea fluxes (F, which includes the variability of Q, E and P).
2.3 Surface area for the source water
The spatial pattern of the climatological mean surface density shows that the SPMW layer outcrops over a large part of the Iceland Basin during winter (Fig. 1a). To quantify the interannual variability of this outcrop between winters, we estimate the area between the two outcropped isopycnals of the SPMW layer (27.3–27.5 kg m−3) over our study domain, which is bounded by the OSNAP East section (1–4), the top of the Reykjanes Ridge and the Iceland–Faroe–Scotland Ridge, as indicated in Fig. 1a. This area is hereafter referred to as the surface area of the source water or simply the surface area.
The mean surface area of the source water over the Iceland Basin is 3.67 × 1011 m2 (40.2 % of the total area in the study domain) and is highly variable over the period 1980–2019, with a standard deviation of 1.53 × 1011 m2 (Fig. 1c). Interestingly, the surface area is more variable between 1980–1999 (1.63 × 1011 m2) than between 2000–2019 (1.34 × 1011 m2). The impact of this difference on SPMW transformation will be investigated in Sect. 4.
2.4 Gyre boundary estimated from AVISO
To estimate the subpolar gyre boundary, we use monthly absolute dynamic topography fields from the gridded ∘ AVISO (Archiving, Validation and Interpretation of Satellite Oceanographic data center) altimeter products distributed by CMEMS (Copernicus Marine Environment Monitoring Service) in 1993–2019. For ease, absolute dynamic topography is hereafter referred to as sea surface height (SSH). Following previous work, the gyre boundary is defined as the largest closed contour of the monthly SSH field with 1 cm contour intervals over the subpolar gyre (Foukal and Lozier, 2017).
We begin our study of the influence of air–sea fluxes and ocean surface densities on the SPMW transformation in the Iceland Basin by evaluating the independence of these variables. We first examine the influence of the local buoyancy flux on the vertical density profile for each winter over the OSNAP period from 2014 to 2018, a period during which Petit et al. (2020) identified large interannual variability in the buoyancy forcing. These profiles reveal the ventilation of SPMW (again, identified by potential vorticity < 4 × 10−11 ) at the beginning of winter and its restratification at the onset of spring (Fig. 2a). The 2014–2015 winter stands out among these profiles, as it is marked by both the strongest buoyancy loss (8 × 10−6 W m−2 in December; Fig. 2a) and the deepest SPMW (600 m in March; Fig. 2b). Conversely, the 2016–2017 winter is associated with a weak buoyancy loss (4 × 10−6 W m−2 in December) and a shallow SPMW (250 m in March). Despite these agreements, the linkage between the SPMW thickness and the buoyancy flux over the period 1999–2019 is relatively weak (< 50 % of their variance), with a correlation of 0.52 (Fig. 2c). It is possible that this correlation can be explained by year-to-year variability in the surface density field. Even if the buoyancy forcing is relatively strong over the Iceland Basin for a given winter, the surface area needs to be large enough to have a sizable impact on the SPMW layer. This possibility raises the question as to the influence of the buoyancy forcing on the surface area.
To answer this question, we subtract the surface area at the end of each winter from the surface area at the end of the following winter, for each year. We compare this area difference to the buoyancy forcing over the second winter as we want to understand whether the buoyancy forcing is setting the surface area observed at the end of that second winter (Fig. 2d). Though a strengthening of the buoyancy forcing generally leads to an expansion of the surface area, the buoyancy flux in a given winter explains less than 30 % of the surface density change in the Iceland Basin. The remaining variance can be attributed to ocean advection, mixing and wind-driven upwelling, although no single process is likely dominant. To conclude, we removed the weak dependence of the surface density field on the air–sea fluxes so that we can separately explore the contributions of the air–sea fluxes and ocean surface densities on the interannual variability of SPMW transformation.
Our analysis of the correlation of buoyancy flux and surface area with SPMW transformation for the winters of 1980–2019 (Fig. 3a and b) reveals that both variables have strong positive correlations with SPMW transformation over the Iceland Basin (0.66 and 0.63, respectively, with p values < 0.05). The interpretation of these results is not straightforward because, as noted in Sect. 3, the surface area is dependent to some extent on the buoyancy flux (R = 0.52) as well as ocean advection, mixing and wind-driven upwelling. Thus, the correlation of SPMW transformation with the surface area in Fig. 3a reflects the combined effects of these four terms on the surface area within the SPMW density range. In turn, the correlation of SPMW transformation with the buoyancy flux in Fig. 3b reflects both direct (via the buoyancy flux term in the transformation equation, Sect. 2.2) and indirect (via modification of the surface area driven by the buoyancy flux) influences of the buoyancy flux on the SPMW transformation. These direct and indirect influences of the buoyancy flux together account for about half of the SPMW transformation variability. While these correlations do not enable us to establish causality, they do provide useful upper limits for the influence of different factors on transformation variability. Specifically, changes in surface area of the SPMW density range can explain at most 45 % of the year-on-year transformation variability. Likewise, buoyancy fluxes account for up to 49 %.
However, the spatial pattern of the buoyancy flux variance differs considerably from the spatial pattern of the SPMW transformation variance. Over the subpolar gyre, the largest variance in SPMW transformation is localized over the Reykjanes Ridge, Hatton–Rockall Plateau and Rockall Trough (Fig. 3d), while the largest variance in buoyancy flux is localized over the Labrador Sea and the NAC (Fig. 3c). Over the area defined by our black box, large variance in buoyancy flux is noted over the interior of the Iceland Basin (Fig. 3e), while the variance in SPMW transformation is small (Fig. 3f). These large spatial differences suggest that buoyancy fluxes are unlikely to be the only driver of variability in SPMW transformation.
We use sensitivity observation-based analysis to understand what is driving the spatial pattern in SPMW transformation. In Fig. 4, we compare the spatial pattern of the variance in SPMW transformation, SFT, from three experiments using the mean surface density 〈D〉, variable surface density (D′), mean heat and freshwater fluxes 〈F〉 and variable fluxes F′. In experiment (1), yearly transformations are estimated as . In experiment (2), yearly transformations are estimated as F′〈D〉. And in experiment (3), yearly transformations are estimated as D′〈F〉. Surprisingly, the small variance in SPMW transformation of experiment (2) (F′〈D〉) compared to the two other experiments reveals that the variance in SPMW transformation is primarily driven by the variance in surface density. Over the Iceland Basin, we estimate a ratio of the variance in SPMW transformation over the total variance of 0.44 for experiment (2) and 0.92 for experiment (3). The variance in surface density has contributions from both temperature and salinity variability (Fig. A2), as expected in these high latitudes where surface waters are so cold. Similar results are obtained for the transformation of surface waters to a density σθ > 27.55 kg m−3, which is the averaged isopycnal of the maximum AMOC at OSNAP East (Fig. 4, lower row), with a ratio of 0.41 for experiment (2) and 0.91 for experiment (3) over the Irminger Sea. As expected, the region of large variance in transformation is shifted westward for this denser water mass, illustrating the progressive densification around the cyclonic pathways of the gyre.
The same analysis has been performed over the two periods differentiated by their standard deviation in surface areas in Fig. 1c (1980–1999 and 2000–2019; Fig. 5). The interannual variability of SPMW transformation is driven primarily by the variance in surface density during both periods. This comparison also shows a relatively stronger variance of the transformation in 1980–1999 compared to 2000–2019, although their maxima remain localized over the Reykjanes Ridge and Rockall Trough. This highly variable transformation during the first period is consistent with a relatively large variation in surface area during those years (Fig. 1c).
We next examine the conditions leading to intense transformation of SPMW over the Iceland Basin. The monthly time series of SPMW transformation in Fig. 6a clearly shows that the transformation of surface water to a density greater than 27.4 kg m−3 reached its largest value since 1980 during the 2014–15 winter, with a net transformation of 23.9 Sv in January 2015. Though the buoyancy flux anomaly is relatively strong during this winter, it is not the largest anomaly observed over the 40-year record (Fig. 6b), suggesting that additional conditions are required for large transformation. An examination of winter 2010–11 reveals that in spite of sizable buoyancy forcing, the transformation appears to be limited by a relatively small surface area. Winter 2013–14 shows the opposite: though the surface area is sizable the relatively weak buoyancy forcing appears to limit the transformation. In contrast to these two winters, the large SPMW transformation in winter 2014–15 is associated with relatively strong buoyancy fluxes and a relatively large surface area that covers most of the Iceland Basin as defined by the black box in Fig. 6c.
By comparing the surface areas of the three winters (Fig. 6c), we note that their contraction or expansion is mainly related to the position of the isopycnal 27.3 kg m−3 over the southeastern part of the Iceland Basin, south of our box. To characterize the spatial pattern of the surface area during winters of “small” and “large” areas, we select the five winters associated with the smallest and five associated with the largest surface areas of the source water (Fig. 7a). These areas were estimated over a larger box (shown in Fig. 7c) so as to include the shift of the isopycnal 27.3 kg m−3 south of the OSNAP line. The source area is localized over the Reykjanes Ridge and the Rockall Plateau during small winters (Fig. 7c), while it is localized over the interior of the Iceland Basin and the Rockall Trough during large winters (Fig. 7d). The position of the isopycnal 27.3 kg m−3 over the Reykjanes Ridge shifts north of the Charlie–Gibbs Fracture Zone (CGFZ) during small winters and south of the CGFZ during large winters.
We explore whether the difference in these spatial patterns for the SPMW surface area can be related to an extension or contraction of the subpolar gyre. For this exploration, the subpolar gyre boundary was estimated with the largest closed contour of SSH in January of those winters (Fig. 7b). Any difference in the subpolar gyre boundary between these years is localized over the northern part of the Reykjanes Ridge and the northwest corner of the NAC. Overall, however, we cannot attribute small or large density areas to specific positions of the gyre. Similarly, the unusually large SPMW transformation in winter 2014–15 cannot be attributed to an unusually large contraction or expansion of the gyre in winter 2014–15 as compared to its position in the winters 2010–11 and 2013–14 (Fig. A1).
Other possible mechanisms responsible for changes in the surface area include variability in ocean advection and the winter re-emergence of relatively dense SPMW. South of OSNAP East, an exceptionally strong heat loss (Josey et al., 2018) formed an unusually large volume of dense SPMW (Grist et al., 2016) in the winter 2013–14. Grist et al. (2016) analyzed the long-term impact of anomalous SPMW formation on regional climate and found that some of this water mass emerges the following autumn/winter. Thus, it is possible that the large formation of SPMW in winter 2013–14 over the southern part of the Iceland Basin contributed to the large source area of SPMW found over the northern part of the Iceland Basin the following winter of 2014–15.
Using 40 years of observations (1980–2019), we show that the production of SPMW is correlated to the surface area of the source water and to buoyancy forcing over the Iceland Basin, at a similar level for each variable (R= 0.66 and R= 0.63, respectively). Our analysis reveals that these two variables are weakly interdependent in this region: variance in the air–sea fluxes can explain ∼ 30 % of changes in the wintertime surface density field over the Iceland Basin. We thus infer that other mechanisms influencing density changes, including ocean advection, mixing and wind-driven upwelling (Johnson et al., 2019), account for the remaining variability in the surface area of the source water.
The direct and indirect (via surface area changes) influences of buoyancy forcing combine to account for about half of the SPMW transformation variability. However, observation-based sensitivity analysis reveal that the spatial distribution of the SPMW transformation is most sensitive to surface density changes, which sets the surface area for the source waters, as opposed to the direct influence of the air–sea fluxes, which is weak at these densities.
A combination of strong buoyancy forcing and a large source area during the 2014–2015 winter produced the largest SPMW transformation in 40 years. Possible causes of the large source area observed over the northeastern part of the Iceland Basin during that winter include a large local surface heat loss during this winter, the re-emergence of a large volume of SPMW formed upstream the previous winter (Grist et al., 2016) and/or the advection of anomalously dense waters into the region.
Further exploration is needed before a specific attribution for the large transformation in winter 2014–2015 is made; however we do note that a number of recent papers have documented strong advective changes in the Iceland Basin over the past few years. The NAC is shown to advect large salinity and temperature property changes at the surface and subsurface (Holliday et al., 2015), with strong property changes attributed to changes in the fraction of water from the Labrador Sea that reaches the Iceland Basin (Holliday et al., 2020). These studies, highlighting the importance of ocean advection, are consistent with a previous paper that showed large hydrographic property changes for SPMW localized over the Reykjanes Ridge that cannot only be explained by the variability of the local air–sea fluxes (Thierry et al., 2008).
Finally, we now understand that the preconditioning of the surface waters in the Iceland Basin is a major contributor of the total waters carried within the lower limb of the AMOC (Petit et al., 2020), and thus a key determinant of AMOC variability within the subpolar North Atlantic. Hence, our study highlights the importance of understanding the factors that influence the surface density field in the Iceland Basin – whether by advection from the subtropics or the western subpolar gyre or by the influence of local winds that bring cold water to the surface via mixing and/or upwelling or through surface buoyancy loss – since that factor is of prime importance in determining the transformation of SPMW.
The OSNAP observations are archived online at https://www.o-snap.org/observations/data/ (OSNAP, 2021), and the atmospheric reanalysis are accessible online at https://www.ecmwf.int/en/forecasts/datasets/reanalysis-datasets/era5 (ECMWF, 2021). The subsurface salinities derived from EN4.2.1 are available at the Met Office website (https://www.metoffice.gov.uk/hadobs/en4/download-en4-2-1.html#l09_profiles) (Met Office, 2021).
TP and MSL led the data analysis, and SAJ and SCU assisted with the interpretation of the results. All the authors contributed to the writing of the paper.
The contact author has declared that neither they nor their co-authors have any competing interests.
Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Tillys Petit and M. Susan Lozier acknowledge the Physical Oceanography Program of the US National Science Foundation (code 3331843). Simon A. Josey acknowledges funding from the UK Natural Environment Research Council, including the North Atlantic Climate System Integrated Study program (reference number NE/N018044/1). Stuart A. Cunningham was supported by the UK NERC National Capability program the Extended Ellett Line and CLASS (NE/R015953/1) and an NERC Large Grant UK OSNAP (NE/K010875/1) and by the European Union's Horizon 2020 research and innovation program under grant agreement no. 678760 (ATLAS) and no. 727852 (Blue-Action).
This research has been supported by the National Science Foundation (grant no. 3331843).
This paper was edited by Ilker Fer and reviewed by Yavor Kostov, Emma Worthington, and one anonymous referee.
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- Abstract
- Introduction and background
- Materials and methods
- Influence of buoyancy loss on the structure of the upper-ocean density
- Influence of buoyancy loss on the structure of the upper-ocean density
- Unusually large SPMW transformation in winter 2014–15
- Discussion and conclusion
- Appendix A
- Data availability
- Author contributions
- Competing interests
- Disclaimer
- Acknowledgements
- Financial support
- Review statement
- References
- Abstract
- Introduction and background
- Materials and methods
- Influence of buoyancy loss on the structure of the upper-ocean density
- Influence of buoyancy loss on the structure of the upper-ocean density
- Unusually large SPMW transformation in winter 2014–15
- Discussion and conclusion
- Appendix A
- Data availability
- Author contributions
- Competing interests
- Disclaimer
- Acknowledgements
- Financial support
- Review statement
- References