1. Introduction
In the midlatitudes, the traditional view has been that the ocean is rather passive in terms of large-scale atmospheric forcing (e.g., Frankignoul and Hasselmann 1977; Seager et al. 2002). This is in large part due to the multitude of studies demonstrating the covariability between the atmospheric circulation and midlatitude sea surface temperature (SST) fields to be characterized by the atmosphere leading the ocean (e.g., Deser and Timlin 1997), with much of the midlatitude SST variability on decadal time scales or shorter considered as a response to stochastic atmospheric forcing (e.g., Frankignoul et al. 1997; Barsugli and Battisti 1998). In comparison, identified responses of the extratropical atmosphere to midlatitude SST anomalies have been relatively modest (e.g., Ciasto and Thompson 2004; Wills et al. 2016). However, most of the studies employing this stochastic atmospheric forcing framework have used rather low-resolution observational or model data that cannot properly capture frontal or mesoscale variability.
With the relatively recent availability of high-resolution satellite measurements and increased climate model capability, many recent studies have demonstrated a more active role for the ocean (e.g., Hewitt et al. 2017; Small et al. 2018). This is particularly true over the western boundary currents (WBCs), where it has been shown that SST variability at monthly and longer time scales is driven by internal ocean processes (“oceanic weather”; Bishop et al. 2017) on spatial scales less than 500 km. In addition, a better-resolved ocean is seen to offer increased near-term climate predictability (Siqueira and Kirtman 2016), and drive deep ascent as high as 10 km into the atmosphere (Kobashi et al. 2008; Tokinaga et al. 2009). This deep ascent results in a striking imprint of the meandering ocean fronts on the time-mean wind convergence throughout the depth of the troposphere (Feliks et al. 2004, 2007; Minobe et al. 2008, 2010), suggesting a pathway for the ocean to trigger planetary wave responses (e.g., Lee et al. 2018).
Mechanistically, this oceanic imprint has traditionally been associated with a time-mean atmospheric response associated with either a boundary layer pressure adjustment mechanism (Lindzen and Nigam 1987; Minobe et al. 2008; Nkwinkwa Njouodo et al. 2018) in which flux-driven spatial pressure gradients drive secondary circulations (Wai and Stage 1989) or the momentum mixing anomalies induced down through the boundary layer by differential SST values (Hayes et al. 1989; Wallace et al. 1989). However, recent studies have shown that this band of time-mean wind convergence is dominated by synoptic storms (Parfitt 2014; Parfitt and Czaja 2016; O’Neill et al. 2017) and is in fact set by atmospheric fronts embedded within them (Parfitt and Seo 2018). More specifically, maxima in the time-mean wind convergence located on the warm side of the strong SST gradients are shown to result from the local intensification of atmospheric frontal convergence there, which Parfitt and Seo (2018) hypothesize is due to the large gradients in surface sensible heat flux (“thermal damping and strengthening”; see Fig. 4 in Parfitt et al. 2016). These results hint that atmospheric frontal variability over WBCs can modulate the oceanic influence on the troposphere. If so, linking this frontal variability to large-scale climate drivers can help to better understand the role of the ocean in forcing midlatitude climate.
Indeed, atmospheric fronts themselves are a manifestation of transient eddies. These transient eddies force a westerly “eddy-driven” jet (EDJ) through momentum and heat that extends through the depth of the troposphere. It therefore stands to reason that variations in the EDJ should also modulate the depth of WBC forcing on the atmosphere. This is of substantial importance, as in the North Atlantic region specifically indicators of the EDJ show a large coherence with large-scale weather indices such as the North Atlantic Oscillation and east Atlantic teleconnection pattern (Woollings et al. 2010). Additionally, variations in its strength and location have been linked to basinwide occurrences of high-impact blocking events (Woollings et al. 2018). As such, investigating the characteristics of atmospheric fronts with respect to the compounding relationship with the EDJ and the Gulf Stream SST front could help us to better understand the interplay between the midlatitude ocean and large-scale climate patterns, and provide further motivation for ongoing research into correcting the known issue of EDJ biases in current general circulation models (e.g., Kwon et al. 2018).
The main aim of this study is to explore the relationship between the North Atlantic EDJ, the Gulf Stream SST front, and atmospheric frontal variability in the context of how deep the Gulf Stream influence extends into the troposphere. The datasets and diagnostics used in this study are described in section 2. Sections 3 and 4 discuss the relative roles of the EDJ and Gulf Stream front in determining the variability of atmospheric frontal frequency and circulation. Section 5 illustrates the implications of these roles for the depth of Gulf Stream influence on the troposphere. A summary is provided in section 6.
2. Data and methods
a. Datasets
The analysis in this study focuses on Northern Hemisphere wintertime [December–February (DJF)]. The dataset used is the National Centers for Environmental Prediction Climate Forecast System Reanalysis (NCEP-CFSR) product (Saha et al. 2010) from 1979 to 2009, with global atmospheric spectral resolution T382 (~38 km) provided on a 0.5° × 0.5° longitude–latitude grid. NCEP-CFSR is based on a coupled data assimilation incorporating a global ocean model with a horizontal resolution of 0.25° at the equator. NCEP-CFSR is chosen specifically as SST resolution has been shown to play a big role in determining the extent of the frontal air–sea interaction over WBCs (Masunaga et al. 2015; Vannière et al. 2017), with studies suggesting that an SST resolution of around 0.25° is required to properly resolve the impact of oceanic fronts on atmospheric eddies (e.g., Smirnov et al. 2015). Indeed, it has been shown that model and reanalysis data with SST resolution below this threshold can systematically lead to a reduction in atmospheric fronts of up to 30% (Parfitt et al. 2016, 2017a).
b. Diagnostics
The daily latitude of the EDJ in the North Atlantic is calculated using the zonal wind at 850 hPa following an adapted methodology of Woollings et al. (2010). The daily zonal wind at 850 hPa is averaged across 0°–60°W and smoothed with a 5-day running mean. The latitude of the maximum amplitude is then taken as the basinwide EDJ latitude for each day. Figure 1a illustrates the distribution of daily EDJ latitudes across DJF 1979–2009 in NCEP-CFSR. The distribution illustrates a three-peak EDJ structure as expected (Woollings et al. 2010), and these three EDJ “regimes” form a major part of the analysis in this study and are discussed at length in later sections. As illustrated, the so-called northern-, central-, and southern-latitude regimes of the EDJ are defined in this paper as latitudes greater than 52.5°N, between 40° and 52.5°N, and less than 40°N, respectively. For DJF 1979–2009, the EDJ is located in these northern, central, and southern regimes for 34%, 47%, and 19% of the time, respectively.
While the three-peak distribution structure resulting from this zonally averaged EDJ calculation is well established and has been heavily linked to weather and climate in both the Euro-Atlantic sector and farther afield (e.g., Santos et al. 2013; Woollings et al. 2014; Liu and Barnes 2015), it is not immediately obvious that one should expect to observe three regimes at every longitude. This can be seen in Fig. 1b, which uses the same method as above, except no zonal averaging takes place, resulting in a daily EDJ latitude calculated at every longitude. The coherence of the partitioning into three regimes instead becomes clear when one plots the daily EDJ latitude calculated at every longitude for each of the three regimes separately, as in Fig. 2.
For the calculation of atmospheric fronts, the F diagnostic—F = ζp|∇(Tp)|/f|∇To|, where |∇(Tp)| is the magnitude of the temperature gradient on pressure level p, ζp is the isobaric relative vorticity on that same pressure surface, f is the Coriolis parameter at each latitude, and |∇To| is a typical scale for temperature gradient 0.45 K (100 km)−1—is used (Parfitt et al. 2017b). Frontal regions are identified every 12 h at 0000 and 1200 UTC when and where the variable F exceeds a value of 1 at 900 hPa “near-surface fronts” and 2 at 600 hPa “midtropospheric fronts.” It is noted that the results in this study are not sensitive to the local time of frontal identification. An example of a near-surface front identified with the F diagnostic can be seen in Fig. 1 of Parfitt et al. (2017b) (see Fig. S1 in the online supplemental material for a midtropospheric example). The appropriate pressure levels for midtropospheric and near-surface frontal identification were originally chosen following the methodology of Hewson (1998). It is noted that some differences do exist between different objective frontal diagnostics (e.g., Schemm et al. 2015), and a full discussion of the F diagnostic is given in Parfitt et al. (2017b), accompanied by an extensive comparison with the widely used “H98” diagnostic from Hewson (1998). It is noted that using the product of temperature gradient and relative vorticity has also been recommended by Solman and Orlanski (2010, 2014) as a metric for general frontal activity. Figure 3 illustrates the atmospheric frontal frequency based on F shown as a fraction of the total period DJF 1979–2009 at (a) 600 and (b) 900 hPa in the Gulf Stream region in the NCEP-CFSR dataset.
The climatology of midtropospheric fronts exhibits a northeasterly tilt, with maxima off the east coast of Canada over Nova Scotia. This general structure is also present for the climatology of near-surface fronts, although there are significant enhancements along the coast due to temperature and vorticity anomalies generated across the land–sea boundaries within the atmospheric boundary layer. These enhancements are commonly identified and are also present in diagnostics of near-surface fronts based solely on temperature [see Parfitt et al. (2017b) for a full discussion]. Away from the coastline, a frontal frequency maximum is identified at 900 hPa along the Gulf Stream SST front.
3. Preferred paths of atmospheric fronts and EDJ latitude
The three-peak structure of the North Atlantic EDJ observed in Fig. 1a is frequently discussed in relation to weather patterns in the Euro-Atlantic sector. Figure 4 illustrates the frontal frequency of midtropospheric fronts in NCEP-CFSR for each of the daily jet regimes in NCEP-CFSR. It is observed that the midtropospheric frontal track becomes more northeasterly as the jet shifts poleward, reflecting the expected close relationship between the EDJ and the location of atmospheric fronts. This variability in the tilt and reach of the midtropospheric frontal track is reminiscent of changes one might expect from a change in the phase of the North Atlantic Oscillation (NAO), and links between the EDJ, the NAO, and other North Atlantic weather regimes have indeed been identified in recent years (Vautard 1990; Cassou et al. 2004; Woollings et al. 2010; Madonna et al. 2017). The distinction between the midtropospheric frontal tracks in each regime is more clearly illustrated in Fig. 5, which shows the anomalies in midtropospheric frontal frequency in each EDJ regime with respect to the time mean. The anomalies are calculated as regime frequency minus time-mean frequency, and as such positive (negative) values imply more (less) frequent midtropospheric fronts in that regime. Comparison of Fig. 5 with Fig. 3a demonstrates that as a percentage of the time-mean midtropospheric frontal frequency, changes of up to 50% can be found in each regime.
Figure 6 illustrates the frequency of near-surface fronts at 900 hPa in NCEP-CFSR. As aforementioned, at the 900-hPa level enhanced surface effects are apparent for each regime, such as the augmentation of frontal frequency near the coastlines due to temperature and vorticity anomalies generated within the boundary layer across the coastline, leading to maximum frequencies observed in these regions. In general, the near-surface frontal frequency tends to broadly decrease away from the coastline, although in each regime there is a maximum in frequency extending eastward ~40°N along the Gulf Stream, likely caused by the strong associated baroclinicity induced by the sharp SST gradient. However, this frequency maximum along the Gulf Stream is substantially larger for the southern EDJ regime. In other words, the frequency of near-surface fronts over the Gulf Stream front is significantly enhanced when the EDJ is at low latitudes. A potential explanation for this is discussed in later sections. As with midtropospheric fronts, the downstream near-surface frontal track is observed to tilt more northeasterly as the jet latitude increases. The anomalies in near-surface frontal frequency with respect to the time mean are illustrated in Fig. 7. As before, a comparison between Fig. 7 and Fig. 3b demonstrates changes of up to 50% in each regime with respect to the time-mean near-surface frontal frequency.
4. Variability in frontal air–sea interaction with EDJ latitude
While the strong coupling between strong SST fronts like the Gulf Stream and atmospheric fronts has been noted in recent years, only one mechanism has been hypothesized so far regarding their interaction [“thermal damping and strengthening” (TDS); see Fig. 4 in Parfitt et al. 2016]. TDS suggests that the intensification or weakening of atmospheric fronts as they pass over strong SST fronts is predominantly modulated by strong cross-atmospheric frontal sensible heat flux gradients. In particular, a modeling study by Parfitt et al. (2016) found that the significant change in atmospheric frontal frequency occurring in response to a weakened Gulf Stream SST gradient was primarily due to a change in the cross-atmospheric frontal surface sensible heat flux gradient across cold fronts specifically, consistent with TDS. Furthermore, the key role of differential sensible heating in atmospheric frontal formation has been more recently noted over the Kuroshio SST front in a modeling study by Hirata et al. (2019). Given these studies and the significant change in atmospheric frontal frequency with EDJ latitude, it is therefore of interest to apply TDS analysis to each regime individually.
Figure 8 illustrates the average cross-atmospheric frontal surface sensible heat flux gradient experienced by atmospheric cold fronts at 900 hPa as they pass across the Gulf Stream. Cold atmospheric frontal locations are derived from previously identified atmospheric fronts using the magnitude and direction of front speed as in Catto et al. (2012). The direction of the surface sensible heat flux gradient is directed toward the cold sector such that negative (positive) values indicate that the cross-atmospheric frontal surface sensible heat flux gradient is acting to strengthen (dampen) the atmospheric cold front. In Parfitt et al. (2016), it was noted that significant strengthening is expected along the strongest SST gradient of the GS front with significant dampening on either side, and this is indeed seen in each EDJ regime. The significant similarity between the values in each regime suggests that the TDS effect is primarily set by the oceanic temperature gradient.
Nevertheless, when one considers the anomalies (defined as regime value minus time mean such that negative anomalies imply stronger strengthening/weaker damping) in cross-atmospheric frontal surface sensible heat flux gradient (Fig. 9), one can clearly see noticeable differences. In particular, in the southern EDJ regime, there is considerably stronger strengthening/weaker damping experienced by atmospheric cold fronts across the entire Gulf Stream front, coinciding with positive anomalies in atmospheric frontal frequency (see Figs. 5 and 7).
The influence of this change in strengthening/damping on the associated frontal circulation can be clearly seen in Fig. 10, which illustrates the anomalies (defined as regime minus time mean) in frontal divergence at 900 hPa (i.e., divergence specifically identified only when atmospheric fronts are detected) in each EDJ regime. Focusing in particular on the southern EDJ regime, one observes a notable increase in atmospheric frontal convergence (i.e., negative anomalies) toward the warm side of the Gulf Stream. Values more negative than −0.8 × 10−5 s−1 are significant to 90% (using the two-sample Student’s t test) across the basin. Furthermore, this increase in atmospheric frontal convergence broadly extends downstream. This eastward shift of the enhanced frontal convergence from the Gulf Stream is expected in part due to the time scale one might expect from a thermal air–sea interaction mechanism such as TDS (~1 day with a front traveling at, say, 10 m s−1). In addition, the frontal air–sea interaction associated with TDS is relatively weak away from the Gulf Stream, and so one can expect the anomalies to be maintained downstream. It is noted that negative values could also indicate a decrease in frontal divergence; however, consideration of the 900-hPa time-mean frontal divergence as in Fig. 2a in Parfitt and Seo (2018) illustrates why this is not the case—on average convergence is found at atmospheric fronts everywhere.
As discussed earlier, while Parfitt and Seo (2018) showed that atmospheric fronts were responsible for setting the strong band of time-mean wind convergence on the warm side of the Gulf Stream front, it was only hypothesized that this was associated with the local strengthening of atmospheric cold fronts due to TDS. This hypothesis is confirmed in Fig. 11, which illustrates the contribution of atmospheric fronts in each EDJ regime to the time-mean wind convergence at 900 hPa (calculated as the average frontal divergence in each regime multiplied by the atmospheric frontal frequency in that regime). As the contribution to the time-mean convergence from situations in which atmospheric fronts are not present is negligible (Parfitt and Seo 2018) in each EDJ regime (not shown), one can clearly deduce that the strong band of time-mean near-surface wind convergence on the warm side of the SST front is not only associated with atmospheric fronts, but primarily with atmospheric fronts in the southern EDJ regime (in which the EDJ was located only 19% of the time) due to enhanced frontal strengthening from TDS.
5. Variation of midtropospheric and upper-level pressure vertical velocity with EDJ latitude
Given that atmospheric fronts set the time-mean near-surface wind convergence in the Gulf Stream region (Parfitt and Seo 2018) and can have considerable vertical structure, it is also reasonable to hypothesize that changes in the near-surface frontal convergence may result in significant anomalies in the time-mean ascent throughout the depth of the troposphere, in particular when the EDJ is in its southern regime. For atmospheric fronts (except those that are quasi-stationary, which are rare across the Gulf Stream region; Berry et al. 2011), typical translation speeds are ~10 m s−1, while typical magnitudes of ascent are ~0.1 Pa s−1. One would therefore expect ~1000 km horizontal displacement of the atmospheric front before surface convergence anomalies ascend by ~100 hPa. Figure 12 illustrates anomalies (defined again as regime minus time mean) in pressure vertical velocity at 600 hPa in each regime. Black contours mark where the two-sample Student’s t test indicates significance at 90%. In the southern EDJ regime in particular, ~3000 km downstream of the Gulf Stream spatially consistent broad regions of statistically significant enhanced ascent (or weakened descent) are located at 600 hPa. The magnitude of downstream displacement is consistent with the translational speed and ascent associated with near-surface atmospheric frontal convergence anomalies that are being driven by the Gulf Stream, suggesting that the impact of enhanced frontal convergence resulting from TDS extends far above the atmospheric boundary layer. The corresponding anomalies in pressure vertical velocity are also shown at 300 hPa in Fig. S2.
It is noted that statistically significant positive anomalies in pressure vertical velocity are also identified off the eastern coast of the United States in the southern EDJ regime, and east of ~30°W in the northern EDJ regime, associated with a significant decrease in ascent (or increase in descent). Comparison with Fig. 10 illustrates that these decreases in ascent are spatially consistent with reduced frontal convergence at 900 hPa, suggesting changes in surface atmospheric frontal circulation may be contributing once again. Unfortunately, both the positioning of the decrease in ascent near the coastline in the southern EDJ regime and the high degree of noise in the cross-atmospheric frontal surface sensible heat flux gradient in the northern EDJ regime make it difficult in the present analysis to definitively attribute these particular surface frontal convergence anomalies to surface thermal frontal air–sea interaction processes. It is therefore noted that while TDS as a mechanism has been shown to heavily influence near-surface atmospheric frontal convergence with consistent impacts throughout the depth of the troposphere, further studies (e.g., modeling studies or explicitly accounting for land–atmosphere interactions) are required to fully quantify the relative processes behind the basinwide variability of near-surface atmospheric fronts.
6. Summary
In this paper, the relationship between the North Atlantic EDJ and atmospheric fronts was explored first. By considering three regimes of the EDJ, referred to as northern, central, and southern (defined respectively as latitudes greater than 52.5°N, between 40° and 52.5°N, and less than 40°N), it was found that the frequency of atmospheric fronts at both 900 and 600 hPa is highly related to the latitude of the EDJ, with atmospheric fronts more frequently observed at the latitude of the EDJ. In some locations, changes in atmospheric frontal frequency between each regime and the time mean were as large as 50%.
The implications of these observations were subsequently considered in the context of the time-mean near-surface wind convergence, known to reflect the meander of the Gulf Stream (Minobe et al. 2008). This was primarily motivated by recent studies showing that it is actually atmospheric fronts that are responsible for the strong band of convergence found in the time mean toward the warm side of the Gulf Stream (Parfitt and Seo 2018). Analysis of the contribution of atmospheric fronts to the time-mean near-surface wind convergence in each regime illustrated that it is the southern EDJ regime, where atmospheric frontal frequency is maximized over the Gulf Stream, that is primarily responsible for the strong band of time-mean convergence toward the warm side of the Gulf Stream.
In an attempt to explain this enhanced near-surface wind convergence on the warm side of the Gulf Stream in the southern EDJ regime, the only currently existing mechanistic theory linking strong SST fronts to atmospheric fronts was investigated. Derived from previous modeling (Parfitt et al. 2016) and reanalysis-based (Parfitt et al. 2017a) studies, and termed “thermal damping and strengthening” (TDS), this theory has shown the response of atmospheric fronts to Gulf Stream perturbations to be primarily associated with atmospheric cold fronts specifically and driven by cross-atmospheric frontal surface sensible heat flux gradients, which are particularly strong over high SST gradients such as the Gulf Stream front. Here, it was found that in comparison to the atmospheric frontal frequency variability, the TDS mechanism was relatively independent of the EDJ latitude. This suggests that the surface sensible heat flux gradients experienced by passing atmospheric cold fronts is primarily set by the underlying ocean.
Nevertheless, consideration of the cross-atmospheric frontal surface sensible heat flux gradient anomalies still illustrated notable differences. In particular, in the southern EDJ regime, considerably stronger strengthening/weaker damping is shown to be experienced by atmospheric cold fronts across the entire Gulf Stream front, coinciding with positive anomalies in atmospheric frontal frequency. Furthermore, considerably stronger frontal convergences are identified at 900 hPa in the southern EDJ regime on the warm side of the Gulf Stream and farther downstream than on average. This suggests that the dominating influence of the southern EDJ regime on the time-mean near-surface wind convergence toward the warm side of the Gulf Stream is a result of enhanced atmospheric cold-frontal strengthening via TDS.
Furthermore, in the southern EDJ regime, downstream of the Gulf Stream front, a broad region of statistically significantly stronger ascent/weaker descent can be found at both 600 and 300 hPa, suggesting that this increase in surface atmospheric frontal convergence may extend throughout the depth of the troposphere. This hints that surface heat flux processes associated with the Gulf Stream can impact deep into the troposphere through their influence on atmospheric fronts, and that this air–sea coupling is enhanced when the EDJ is located at more southerly latitudes. It is noted that several other statistically significant vertical velocity anomalies were also identified. Although they were also shown to be consistent with surface frontal convergence anomalies, it was not possible from the present analysis to directly associate them with TDS.
Nevertheless, these results provide additional motivation for correcting known jet biases in current climate models, as the representation of the EDJ in its southern regime is known to be more poorly represented than in other regimes, resulting in poor simulation of high-impact events such as Greenland blocking (Davini and Cagnazzo 2014; Kwon et al. 2018). Last, it was discussed in the introduction that the latitudinal variation of the EDJ has been strongly correlated with various weather indices such as the NAO. Given these results suggest that certain EDJ latitudes may result in a deeper oceanic influence on the atmosphere, this also suggests that certain large-scale weather indices may also favor enhanced air–sea coupling in the North Atlantic. This would add to the recent work stressing the need for suitably high resolution SST for the correct representation of the most severe North Atlantic weather events (e.g., Vannière et al. 2017; Sheldon et al. 2017).
Acknowledgments
For part of this study, R. P. was funded by the Weston Howland Jr. postdoctoral scholarship at Woods Hole Oceanographic Institution. We gratefully acknowledge the support to Y.-O. K. from the NOAA CPO Climate Variability and Predictability program (NA13OAR4310139), the DOE Regional and Global Model Analysis program (DE-SC0014433 and DE-SC0019492), and the NSF AGS Climate and Large-scale Dynamics program and OCE Physical Oceanography program (AGS-1355339). We thank NCAR for allowing access to the NCEP-CFSR dataset, accessible at https://rda.ucar.edu. We thank the editor Hisashi Nakamura and the three reviewers whose comments have helped greatly improve the manuscript.
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