1. Introduction
Decades of observational and modeling analysis have broadly identified two fundamental regimes of ocean–atmosphere coupling dependent on the spatial scale of ocean surface variability. The first regime involves the ocean response to large-scale (>1000 km) internal atmospheric variability, which drives a response in sea surface temperature (SST) through the mediation of surface turbulent heat fluxes and upper-ocean turbulent mixing (e.g., Frankignoul 1985; Alexander and Scott 1997). The large-scale ocean response feeds back onto the incipient atmospheric circulation anomaly to reinforce or erode it (e.g., Bladé 1997). In this framework, the ocean is viewed as relatively passive, mainly advecting anomalies, storing heat, and integrating white noise atmospheric forcing.
The second regime, the focus of this paper, involves an atmospheric response driven by ocean mesoscale eddy-induced spatial SST and current variability. Here, the term “mesoscale eddies and fronts” broadly refers to all forms of oceanic processes with horizontal length scales smaller than the first regime of air–sea interaction (>1000 km) but larger than oceanic submesoscale (∼1–10 km), although several outstanding issues regarding the submesoscale air–sea interactions will be discussed in sections 5 and 6. These processes include coherent, swirling, and transient ocean circulations with length scales near the Rossby radius of deformation (Chelton et al. 2011b), filamentary eddy structures that are widely observed in coastal upwelling systems, and semipermanent fronts and undulations near the midlatitude western boundary currents (WBCs) and their extensions, and SST fronts along the equatorial tongue in the Pacific and Atlantic Oceans.
The SST signature from these ocean mesoscale processes modifies surface turbulent heat and momentum fluxes, driving local responses in marine atmospheric boundary layer (MABL) processes (Small et al. 2008), inducing responses in winds, clouds, and rainfall (e.g., Deser et al. 1993; Tokinaga et al. 2009; Frenger et al. 2013; Miyamoto et al. 2018, 2022; Takahashi et al. 2020, 2021). The MABL responses then drive nonlocal responses in the path and activity of storm tracks in the extratropics (e.g., Czaja et al. 2019) and deep moist convection in the tropics (e.g., Li and Carbone 2012; Skyllingstad et al. 2019; de Szoeke and Maloney 2020). The atmospheric response to ocean mesoscales feeds back onto eddy activity and SST, altering the large-scale ocean circulation, further influencing these atmospheric processes (e.g., Nakamura et al. 2008; Hogg et al. 2009; Frankignoul et al. 2011; Taguchi et al. 2012). Mesoscale ocean surface currents also affect the wind stress and heat fluxes as well as the kinematic profiles in the MABL, which influence ocean circulation, including the stability and strength of the WBCs and their meanders (Renault et al. 2016b, 2019b) and the basin-scale coupled climate variability such as ENSO (e.g., Luo et al. 2005). The ocean drives the SST variability more strongly than the atmosphere at longer time scales and shorter spatial scales (Bishop et al. 2017), suggesting the need to include rectified coupled effects of ocean mesoscale eddies in high-resolution coupled climate models (Bryan et al. 2010; Kirtman et al. 2012; Roberts et al. 2016; Hewitt et al. 2020).
Aside from earlier limited observational studies showing evidence of the MABL response to mesoscale SSTs (e.g., Sweet et al. 1981), the first observational global-scale surveys of the MABL and surface wind responses based on satellite observations were provided by Chelton et al. (2004) and Xie (2004), followed by comprehensive review papers by Small et al. (2008) and Kelly et al. (2010). The number of publications that include aspects of mesoscale air–sea interaction has grown exponentially in the last decade or so (see Robinson et al. 2018, 2020), which also emphasizes a strong cross-disciplinary nature of the research subject (e.g., the AMS special collection on “Climate implications of frontal scale air–sea interaction” and the Journal of Oceanography special collection on “hot spots” in the climate system; Nakamura et al. 2015). Notwithstanding the existing review papers, no comprehensive synthesis papers exist that consolidate the exponential increase in scientific understanding of mesoscale air–sea interaction. This forms the key motivation of this review, which mainly focuses on a synthesis of the studies since Small et al. (2008).
The paper is organized in the following logical order. Section 2 discusses the air–sea flux responses to mesoscale SST and surface currents, along with theories and analytical studies of MABL dynamics describing the flux responses. The subsequent two sections review critical aspects of large-scale atmospheric and ocean circulation responses resulting from the atmospheric boundary layer processes. That is, section 3 discusses the tropospheric responses emphasizing the modulation of local and downstream adjustments of extratropical weather systems and their aspects related to climate change. Section 4 probes into the oceanic responses due to thermal and mechanical feedback processes. The section emphasizes the need to develop new theories and parameterizations to account for rectified effects of eddy–atmosphere interaction. Section 5 explores the emerging observational platforms critical for accurate in situ and remote sensing characterization of air–sea interaction at small spatial scales in the coming decade. Section 6 provides a summary and synthesis.
The readers might find it helpful to visualize key feedback mechanisms discussed throughout the paper by referring to the schematic illustrations in Fig. 1, which are organized at different characteristic length scales and by processes. The MABL response to a mesoscale SST front (Fig. 1d) corresponds to section 2. The diabatic heat exchanges between the atmospheric fronts and the SST fronts (Figs. 1b,c) are elaborated in section 3b, while a broader view of modulation of the midlatitude storm track by the WBCs and the subsequent downstream rainfall patterns (Fig. 1a) is discussed in detail in sections 3a–c. The discussion about the modulation of wind stress and heat fluxes by the mean and eddy currents and their feedback to oceans (Fig. 1e) jibes with section 4a. The resulting fine-scale near-surface instability and turbulence (Fig. 1d) are touched upon in sections 4b and 4c.



Schematic illustrations of the coupled ocean–atmosphere feedback processes in the Northern Hemisphere. (a) On the basin scale, the storm track affected by the WBCs leads to anomalous rainfall patterns downstream. (b) A zoom-in view over the black box in (a) illustrates cold and warm fronts within a low pressure system traversing the semipermanent SST front. On the trailing edge of the cold front (purple), the cold/dry air mass over the warm ocean water induces large diabatic heating of the storms, strengthening the storm. A similar process might occur over the transient mesoscale eddies. The modified air mass ascends over the warm front, leading to deep cumulus clouds and heavy precipitation. (c) A 2D view of the cross section in (b), where the cold front translates eastward over the SST front. When the cold front is east of the SST front, the large air–sea temperature and humidity differences (purple) cause the maximum upward turbulent heat flux, facilitating the diabatic frontogenesis. (d) A 2D view of the MABL with the cross-frontal winds. For the warm-to-cold case, the warm air blowing over cold water downwind of the SST front leads to a stable internal boundary layer with a capping inversion and a shallow clockwise secondary circulation. Due to weaker vertical mixing, the surface wind slows down, reinforcing the initial wind shear. The weak wind over cold SST yields a reduced surface drag. For the cold-to-warm case, MABL and internal boundary layers deepen quickly, with the counterclockwise secondary circulation developing downstream. The increased turbulent mixing accelerates the surface wind, leading to a well-mixed wind profile. The choppier surface waves on the warm side due to higher winds enhance surface drag. Wind direction also changes across the front as wind speed adjusts to local stability (not featured in this schematic). The surface currents near the ocean front (also not shown) modulate the wave slopes and surface roughness via wave–current interaction and the wind stress via current-wind interaction. (e) Meandering eastward currents and mesoscale eddies under a uniform westerly wind. On a large scale, because surface currents are oriented downwind, the relative wind leads to weaker geostrophic wind work than the absolute wind, stabilizing the large-scale circulation but stimulating submesoscale instabilities. Over the eddies, eddy–atmosphere coupling induces the diabatic dissipation of eddy potential energy (thermal feedback) and the negative geostrophic eddy wind work via current–wind interaction (mechanical feedback), weakening the eddy energy. The eddies’ swirling currents manifest reversely in the wind stress, leading to current-induced wind stress curls and the up/downwelling in the ocean. (f) The cross section across the front/jet in (e). The down-front wind drives an eastward Ekman transport of cold/dense water over warm/light water, reducing stratification near the front. The unstable front leads to enhanced turbulence and submesoscale activity, with the induced secondary circulation accelerating the jet. The oceanic frontogenesis influenced by the surface waves is not featured in this schematic but illustrated in Fig. 9.
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
It is not possible to cover all relevant aspects of mesoscale air–sea interaction with sufficient detail. There exist many review articles that might be helpful for readers interested in gaining a more in-depth understanding of specific topics. For section 2, such papers include Bourassa et al. (2013) on challenges/needs for accurate air–sea flux measurements in high-latitude oceans; Swart et al. (2019) on observational strategies to improve Southern Ocean heat and gas flux estimates; Cronin et al. (2019) on global air–sea flux accuracy requirements; Bourassa et al. (2019) on satellite remote sensing of wind and winds stress; and Deskos et al. (2021) on sea state impacts on surface winds from a wind energy perspective. For section 3, Kushnir et al. (2002) reviewed the atmospheric responses to extratropical SST anomalies in climate models. Czaja et al. (2019) updated the extratropical air–sea interaction based on high-resolution climate modeling studies, while Kwon et al. (2010) and Kelly et al. (2010) reviewed the impacts of WBC SST anomalies on seasonal to decadal climate variability. For section 4, more detailed accounts of surface waves, upper ocean mixing, and submesoscale dynamics are provided by Sullivan and McWilliams (2010), D’Asaro (2014), and McWilliams (2016). McGillicuddy (2016) offers a comprehensive review of mechanisms of physical–biological–biogeochemical interactions on the oceanic mesoscale. For section 5, helpful review papers include Ardhuin et al. (2019) on observing sea state information, Villas Bôas et al. (2019) on wind–wave–current interaction, Centurioni et al. (2019) on global ocean surface observation networks, and Wanninkhof et al. (2019) on global CO2 flux measurements. The observational needs for data assimilation, coupled reanalyses, and short-term and extended-range predictions have been discussed by Penny and Hamill (2017), Domingues et al. (2019), and Subramanian et al. (2019).
2. Boundary layer and surface heat, momentum, and gas flux responses
Surface fluxes communicate mass and energy between the ocean and atmosphere and are thus vital processes in Earth’s climate system. The ocean is a major reservoir of heat and carbon in the Earth system, and it is increasingly clear that exchanges with the atmosphere occurring on the oceanic mesoscale are significant in shaping Earth’s climate. Recent assessments on projected trends in surface air temperature (SAT) and SST have indicated a need to better understand surface heat fluxes to reconcile conflicting lines of evidence on the projected trends in SAT and SST (e.g., Box TS.1; IPCC 2021, p. 59). The surface turbulent heat fluxes are composed of sensible and latent heat fluxes, while the surface wind stress represents the turbulent momentum flux between the atmosphere and ocean mediated by surface waves. This section discusses air–sea heat, momentum, and gas flux responses to spatially heterogeneous fields of SST, surface currents, and sea state. We also discuss the local MABL response to ocean-induced mesoscale forcing, given its strong relationship with the surface fluxes. These processes are illustrated in Fig. 1d.
Spatially heterogeneous SST and surface currents generate localized anomalies in the surface heat and momentum fluxes. The atmospheric and oceanic responses to these flux anomalies are initially confined to the MABL and ocean mixed layer, but the responses to this coupling may spread to the free atmosphere above (section 3) or the ocean thermocline below (section 4). The atmospheric boundary layer and the oceanic mixed layer directly mediate responses of the large-scale oceanic and atmospheric circulation to the mesoscale and frontal-scale air–sea coupling.
Figure 2 shows the strong correlation between monthly mesoscale surface fluxes and ocean mesoscale variability from the ERA5 reanalysis (Hersbach et al. 2020). Here, the turbulent heat flux is defined as positive downward (ocean warming). When the local point-by-point correlation between the turbulent fluxes and SST is strongly negative, the SST variability can be viewed as the ocean forcing the atmosphere (e.g., the warm ocean heats the atmosphere). Similarly, when the correlation between turbulent heat flux and SST tendency is positive, the atmosphere is considered to drive ocean variability. Over mesoscale, the wind stress and upward heat fluxes are enhanced over warm SST anomalies (SSTA) and reduced over cool SSTA. The correlations are much stronger for sensible and latent heat flux responses, while the surface stress response on this spatial scale is much more apparent in oceanic frontal boundary regions where mesoscale SST variability is most pronounced. However, it should be noted that the amplitude of correlation represents empirical estimates of the strength of covariability since the atmospheric response to an ocean anomaly modifies the turbulent fluxes and would obscure this simple rule (e.g., Sutton and Mathieu 2002). The effect of the surface flux on the ocean is discussed in section 4.



Maps of the cross-correlation coefficients between ERA5 monthly spatially high-pass filtered SST and (a) wind stress magnitude, (b) surface sensible heat flux, and (c) surface latent heat flux. The spatial high-pass filter removed variability with spatial scales greater than 1000 km. These maps were averaged over the 30-yr period 1991–2020. The ERA5 reanalysis time period used here was 1991–2020. The standard sign convention for ERA5 surface fluxes is used: positive fluxes mean energy entering the ocean. The high correlations in these maps correspond to regions of strong mesoscale SST variability, such as in the WBCs and their extension regions (Kuroshio, Gulf Stream, Brazil Current, and Agulhas Current), along the Antarctic Circumpolar Current and equatorial fronts, and near the Somali Current. A similar plot to (a) can be found in Small et al. (2008) and Seo (2017).
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
a. Turbulent heat flux response
On smaller scales encompassed by the oceanic mesoscale and on time-scales longer than synoptic time scales in the atmosphere (e.g., 2–8 days), spatial variations in the surface turbulent heat fluxes are driven primarily by spatial perturbations of SST, such that negative heat flux anomalies (i.e., atmosphere heat gain) occur over warm SST perturbations and positive heat flux anomalies (i.e., atmosphere heat loss) occur over cool SST perturbations (Figs. 2b,c). Over these scales, the ocean forces a response of the atmosphere driven by the surface heat exchange, which is fundamentally distinct from the response over larger spatial scales. Near-surface air temperature and specific humidity adjust slowly to spatially heterogeneous SST as air flows across SST gradients. Ocean mesoscale eddies and SST fronts near the semipermanent WBCs often generate large air–sea temperature and humidity differences (Figs. 1b,c). A dramatic example was observed during the CLIMODE experiment near the Gulf Stream during wintertime, when air–sea temperature differences exceeded 10°C over 200 km, yielding >1000 W m−2 surface turbulent heat fluxes into the atmosphere (Marshall et al. 2009).
Past field experiments captured less extreme but nonetheless strong responses of turbulent heat fluxes and MABL convective turbulence to mesoscale and frontal-scale SSTs. Examples can be found from the Sargasso Sea during the FASINEX experiment (e.g., Friehe et al. 1991), as well as from the Gulf Stream (e.g., Plagge et al. 2016), the Kuroshio (e.g., Tokinaga et al. 2009), Pacific tropical instability waves (Thum et al. 2002), the Brazil–Malvinas Confluence system (e.g., Pezzi et al. 2005; Villas Bôas et al. 2015; Souza et al. 2021; Cabrera et al. 2022), the Agulhas Current (e.g., Jury and Courtney 1991; Messager and Swart 2016), and the western Arabian Sea (e.g., Vecchi et al. 2004).
The scale dependence of turbulent flux responses to mesoscale SST variations has been quantified primarily from reanalysis-based surface flux and SST datasets (e.g., Li et al. 2017; Sun and Wu 2022). Bishop et al. (2017), in particular, showed that on time scales longer than one month, the turbulent heat fluxes on the ocean mesoscale and frontal scale are driven by SST variability associated with oceanic internal processes. On shorter time scales, the variability is driven more by synoptic-scale weather variability, particularly along the storm tracks overlying the WBCs. Based on this simple diagnostic, Kirtman et al. (2012) concluded that eddy-parameterized models grossly underestimate the ocean forcing of the atmosphere in eddy-rich regions (e.g., WBCs and the Southern Ocean) and overestimate the atmospheric forcing of the ocean throughout much of the midlatitudes compared to the ocean eddy-resolving simulations.
b. Turbulent momentum flux and MABL wind responses
The turbulent heat flux response to SST is a crucial process that drives the responses in turbulent momentum flux to SST. The variability in ocean surface currents at mesoscales also affects the wind stress through the relative motion of the surface winds and currents. The most immediate local atmospheric response to SST and surface currents is initially confined to the MABL. The wind and wind stress responses mainly result from a dynamical adjustment of the MABL pressure and vertical turbulent stress profile distinct from simple adjustments of the surface layer logarithmic wind profile (Small et al. 2008; O’Neill 2012; Renault et al. 2016a), the relative importance of which strongly depends upon background wind condition (e.g., Schneider and Qiu 2015; Byrne et al. 2015; section 2c).
1) Mesoscale SST effects
Traditionally, local atmospheric responses to the mesoscale SST have been characterized empirically by linear regressions between collocated mesoscale SSTs and surface winds and surface wind stress, all spatially high-pass filtered to isolate the coupling on scales smaller than about O(1000) km. Linear regression coefficients, also called coupling coefficients, obtained from satellite-observed wind speed and wind stress indicates ubiquitous increases in their magnitudes over warm SSTs, increases of wind divergence and wind stress divergence collocated with the downwind component of the SST gradient, and wind curl and wind stress curl that scale with crosswind components of SST gradients (Chelton et al. 2001; O’Neill et al. 2003, 2012). The SST-induced curl and divergence responses provide further constraints on spatial scales of the SST-induced MABL response. These simple but powerful diagnostic metrics have been broadly used to diagnose the simulated air–sea interaction over a range of scales in numerical models (Bellucci et al. 2021), leading to refinements in the SST resolution (Chelton 2005) and the PBL parameterizations in NWP models (Song et al. 2017). However, the coupling coefficients include contributions from broad scales represented in the high-pass filtered input fields. Hence, other than the gross separation of small scales from large scales, it is difficult to extract useful information about scale dependence from such calculations. Alternative statistical and analytical approaches exist, including cross-spectral analysis (e.g., Small et al. 2005b; O’Neill et al. 2012; Laurindo et al. 2019; Samelson et al. 2020), cross-covariance and correlation functions between SST (and its tendency), wind and turbulent heat fluxes (e.g., Frankignoul and Hasselmann 1977; Wu et al. 2006; Bishop et al. 2017; Small et al. 2019), and an analytical model for MABL heat and momentum budgets (Schneider and Qiu 2015; Schneider 2020). The analytical model for MABL is explored in detail in section 2c.
2) Mesoscale current effects
Regions of strong SST gradients are also regions of substantial variability in ocean surface current. The current feedback (CFB) mechanism directly modifies wind stress through the relative motion of surface winds and currents, which in turn alters the low-level wind shear and wind. That is, a negative current anomaly induces a positive stress anomaly acting on the atmosphere, which causes a negative wind anomaly (Renault et al. 2016a). At the mesoscale, CFB primarily impacts the surface wind stress curl but not its divergence due to the quasigeostrophic nature of ocean currents (Chelton et al. 2004). The wind stress and wind responses to CFB can also be diagnosed using empirical relationships based on satellite and numerical simulations. Renault et al. (2016a, 2019a) defined two coupling coefficients related to CFB: sw is the regression slope between mesoscale surface currents and 10-m wind and sτ is the linear regression coefficient linking mesoscale surface current and surface stress. The coefficient sτ can be interpreted as a measure of the damping efficiency of CFB to ocean eddy energy, as discussed in greater detail in section 4.
The SST and current-induced stress responses are challenging to separate since mesoscale SST and current variations covary strongly near ocean fronts and eddies. Nonetheless, estimates of the contributions of the current-induced wind stress response via the linear coupling coefficients indicate that the current-induced stress anomalies exceed the SST-induced response over strong WBCs and within isolated ocean eddies (e.g., Gaube et al. 2015; Renault et al. 2019a). The current-induced stress response exists in scatterometer and direct air–sea flux observations and coupled ocean–atmosphere simulations, but it is not directly apparent in atmosphere-only simulations and reanalyses, such as the ERA5 wind stress anomalies used in Fig. 2. Including both current and SST-induced stress anomalies strongly impacts the mesoscale wind stress curl field (e.g., Renault et al. 2019a).
c. Analytic framework for SST-induced boundary layer response
The MABL response to ocean mesoscale current must incorporate coupling between the MABL thermodynamics and dynamics to adequately represent the influence of SST and surface current on the surface wind stress and sensible and latent heat fluxes. An analytical framework for SST impacts was recently proposed, which incorporates MABL heat and momentum budgets that capture the first-order response of the MABL to SST forcing (Schneider and Qiu 2015; Schneider 2020) and includes a representation of the processes shown in the literature to be of primary importance. This framework considers an MABL capped by an inversion (Battisti et al. 1999). Within this layer, air temperature is assumed to be well mixed and vertically constant, and subject to horizontal advection and air–sea heat exchanges. The system is driven by winds with horizontal scales far larger than the ocean mesoscale that satisfy a drag law at the sea surface and experience zero vertical momentum flux at the inversion. The large-scale winds U form a modified Ekman spiral (Holton 1965a,b), which is considered horizontally homogeneous on scales commensurate with the ocean mesoscale.
The pressure effect (term VI), originally formulated by Lindzen and Nigam (1987), designates the acceleration of surface winds to the baroclinic pressure gradient imparted by air temperature gradients, which drive secondary wind circulations and updrafts and downdrafts (e.g., Wai and Stage 1989; Wenegrat and Arthur 2018; Sullivan et al. 2020; Fig. 1d). Lindzen and Nigam (1987) neglected advection and assumed that air temperature decays linearly from the SST to zero at a height of 3000 m. In contrast, we include advection in the momentum budget in Eq. (2) and assume that the SST imprint is vertically constant, consistent with a reduced gravity formulation (Battisti et al. 1999).
The vertical mixing effect (term VII) is a linearization of the “nonlinear” term envisioned by Wallace et al. (1989) and Hayes et al. (1989) that captures the modulations of the vertical mixing acting on the large-scale wind profile. The dynamics, amplitude, and vertical structure of
Advection by large-scale winds allows for disequilibrium in air–sea temperature and shifts responses of winds or stress as a function of the SST spatial scales and the large-scale wind direction and speed (e.g., Small et al. 2005a, 2008). Spectral transfer functions, or their corresponding physical-space impulse response functions, capture these nonlocal relationships and generalize the widely used coupling coefficients to include spatial lags. Estimates from satellite observed winds and SST of spectral transfer functions suggest scale-dependent, lagged dynamics as a function of the Rossby number determined by large-scale winds, the wavenumbers of ocean mesoscale SST, and the Coriolis frequency f, or thermal or frictional adjustment rates γ or A/H2 (Schneider 2020; Masunaga and Schneider 2022). For small Rossby numbers, the pressure effect dominates, while large Rossby numbers favor the vertical mixing effect, and order one Rossby numbers combine both with rotational effects, consistent with modeling studies of boundary layer responses to prototype SST fronts (Spall 2007a; Kilpatrick et al. 2014, 2016) and ocean eddy fields (Foussard et al. 2019a) in the presence of large-scale winds.
The analytical model described above considers a dry MABL without incorporating MABL moisture or latent heat fluxes. The contribution of moisture to buoyancy fluxes, latent heating/cooling, and overall MABL structure has not been investigated in as much detail within the context of the mesoscale MABL response. However, it is anticipated to have a nonnegligible impact on the MABL dynamical response to mesoscale SSTA (Skyllingstad and Edson 2009). For instance, during CLIMODE, the buoyancy heat flux was approximately 20% larger than the sensible heat flux due to moisture, and the average magnitude of the latent heat flux was ∼2.5 times greater than the sensible heat flux (Marshall et al. 2009). In the tropics, the ratio of latent to sensible heat flux is even larger (e.g., de Szoeke et al. 2015), so the moisture contribution is often an order of magnitude greater than the sensible heat contribution. The impact of moist convection during a cold air outbreak over the Gulf Stream was investigated with an LES (Skyllingstad and Edson 2009), showing that the latent and sensible heat fluxes are enhanced over a simulated SST front resulting in stronger turbulent mixing and precipitation compared to a constant SST simulation. The simulation across the SST front shows that relatively low humidity values near the surface are maintained by the continual expansion of the boundary layer in the entrainment layer, which mixes dry air from aloft into the MABL. This maintains the large air–sea specific humidity and temperature differences necessary for strong latent and sensible heat fluxes in the surface layer. Additional simulations and measurements are required to investigate the role of moisture in response to mesoscale SST. For example, the analytical model could provide insight by using the virtual temperature at both the sea surface and aloft.
d. Modulation of air–sea fluxes of tracers
Air–sea gas fluxes of tracers depend on the air–sea disequilibrium and processes driving exchange, such as winds and breaking waves. From the ocean perspective, the disequilibrium can be understood as the difference of the concentrations of a gas in the seawater, C, relative to the concentration the gas would have at equilibrium with the atmosphere, Ceq, which, in turn, is determined by the solubility of the gas in seawater. The air–sea flux Fx of a gas x then is estimated as Fx = k (C − Ceq), where k is the gas transfer velocity (e.g., Woolf 1993; McGillis et al. 2001; Wanninkhof et al. 2009; Dong et al. 2021). Impacts of ocean mesoscale features on the net F may be introduced via k or Ceq, each of which varies nonlinearly with wind speed and depends on sea state. The mesoscale may also affect C by impacting biological sources and sinks of tracers (section 4d). Indeed, studies find local modulations of air–sea CO2 fluxes due to the effects of mesoscale eddies on solubility, productivity, or winds (Jones et al. 2015; Song et al. 2015, 2016; Olivier et al. 2022). One such study in the southwest Atlantic Ocean detected clear spatial covariations of CO2 flux with the MABL stability over a warm-core eddy (Fig. 3; Pezzi et al. 2021). Yet, on the basin-to-global scales, positive and negative mesoscale anomalies of CO2 fluxes appear to essentially cancel (Wanninkhof et al. 2011; Song et al. 2015). Clear separation and quantification of the individual and rectified effects of mesoscale phenomena on k, C, and Ceq from observations and models remain challenging, given the difficulty of capturing transient mesoscale variations in the ocean and atmosphere, including the concentration of tracers such as carbon.



(a) Observed SST (°C) in the southwestern Atlantic Ocean on 18 Oct 2019. The white circles denote the Po/V Almirante Maximiano trajectory. (b) In situ CO2 fluxes (μmol m−2 s−1) measured by eddy covariance method (solid) and atmospheric stability parameter, SSTbulk − Tship (°C) (dotted), where SSTbulk and Tship denote the sea surface and near-surface air temperatures, respectively. The error bars denote the standard error representing a 95% confidence interval. Figures adapted from Pezzi et al. (2021). Figure reproduced with permission.
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
3. Free-tropospheric, extratropical atmospheric circulation responses
This section investigates atmospheric response beyond the MABL (section 2) by focusing on local and nonlocal circulation responses in the extratropics to SSTA patterns observed in the WBC regions, including the semipermanent SST fronts and transient mesoscale eddies. Some aspects of deep convective response in the tropical atmosphere have also been attributed to MABL adjustments to the mesoscale SST fields (Li and Carbone 2012; Skyllingstad et al. 2019; de Szoeke and Maloney 2020), although much of the studies on deep atmospheric responses published to date is based on the extratropics. We start with a summary of previous studies on the role of extratropical SSTA in quasi-equilibrium atmospheric circulation and storm tracks. We then revisit the debates about the observed near-surface wind convergence and precipitation in WBC regions diagnosed as a response to either SST variations or extratropical storms. Finally, we will consider whether these processes may be important to future climate, focusing on the difference between projections at high and low resolution in the oceans. The feedback processes examined in this section are schematically illustrated in Figs. 1a–c.
a. Time-mean general circulation responses
The question of how the extratropical atmosphere responds to variability in ocean fronts and/or extratropical SSTA has been addressed over many decades. Early studies considered the linear response (Hoskins and Karoly 1981; Frankignoul 1985), which predicted a shallow heating response characterized by a downstream trough with a baroclinic structure. This was argued against by Palmer and Sun (1985), who found a downstream ridge, with an advection of temperature anomalies by mean flow acting against anomalous advection of mean temperature gradients. Later, Peng et al. (1997) showed that the transient eddy response was important in forming an equivalent barotropic high. More recent observational analyses find a weak low-pressure response east of warm SSTA near the Gulf Stream (Wills et al. 2016) and Kuroshio (Frankignoul et al. 2011; Wills and Thompson 2018). Deser et al. (2007) demonstrated that the initial linear, baroclinic response is quickly (within 2 weeks) replaced with the equilibrium barotropic response with a much broader spatial extent and magnitude (Ferreira and Frankignoul 2005, 2008; Seo et al. 2014). The adjustment time is shorter near WBC regions (Smirnov et al. 2015). This literature is well summarized in existing review papers (Kushnir et al. 2002; Small et al. 2008; Kwon et al. 2010; Czaja et al. 2019).
Recent studies also indicated a strong sensitivity to the spatial resolution of the atmospheric dynamics governing the large-scale circulation response. For example, Smirnov et al. (2015) show that a low-resolution (1°) model induces a weak response resulting from shallow anomalous heating balanced by equatorward cold air advection, consistent with the results from steady linear dynamics. This contrasts with the higher resolution (1/4°) model showing that the anomalous diabatic heating is balanced by a deep vertical motion mediated by the transient eddies (Hand et al. 2014; Wills et al. 2016; Lee et al. 2018). The anomalous diabatic heating and the induced vertical motions maintain the climatological circulation pattern over the WBCs.
b. Synoptic storms and storm track responses
Storm tracks typically occur in the 30°–50° latitude band coincident with the climatological SST fronts (Fig. 4) and are associated with strong and frequent precipitation, particularly via atmospheric fronts. Midlatitude storm tracks can be primarily defined in two ways (Chang et al. 2002; Hoskins and Hodges 2002): either using distributions of the tracks and intensity of synoptic cyclones (the Lagrangian view) or as regions of strong variability or covariability of winds, geopotential height, temperature, and humidity in the lower to upper troposphere (the Eulerian perspective). To better elucidate the forcing of near-surface weather by the oceans, other studies also use the surface-based storm track, defined as the variance of near-surface meridional winds (Booth et al. 2010, 2017; O’Neill et al. 2017; Small et al. 2019). The concept of the surface storm track stems from earlier scatterometer measurements illustrating strong imprints of the free-tropospheric storm tracks in the surface wind fields over the warm WBCs (Sampe and Xie 2007; Bourassa et al. 2013). The reduced static stability and the enhanced vertical mixing within the MABL (Fig. 1d) synchronize the locations of the surface storm track with the warm currents (Fig. 4). The surface and free-tropospheric storm tracks are, thus, dynamically coupled via deep moist convection (Czaja and Blunt 2011).



The climatological relationship of the extratropical storm tracks with the SST fields in (a) Kuroshio–Oyashio Extension and Gulf Stream in the Northern Hemisphere and (b) Agulhas Current and the Antarctic Circumpolar Current systems in the south Indian Ocean. The atmospheric storm track is estimated in (a) as the time-mean meridional heat transport by atmospheric transient eddies
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
One possible mechanism of midlatitude oceanic influence on the storm track was suggested by Hoskins and Valdes (1990), which found that enhanced diabatic heating by surface fluxes over WBCs supports atmospheric baroclinicity, a vital element in setting the location of the storm track (Hawcroft et al. 2012; Kaspi and Schneider 2013). Nakamura and Shimpo (2004) and Nakamura et al. (2004) further argued that SST gradients directly influence low-level air temperature gradients via cross-frontal gradients in sensible heat flux (Nakayama et al. 2021). The baroclinicity is measured as the atmospheric maximum Eady growth rate (Charney 1947; Eady 1949; Lindzen and Farrell 1980), such that stronger low-tropospheric baroclinicity is associated with weaker static stability and a stronger meridional air temperature gradient (see the caption of Fig. 4). Both conditions are observed over WBCs. Hence, the anchoring effect by cross-frontal differential heat supply from the ocean is consistent with the formation of a storm track over the WBC SST fronts (Nonaka et al. 2009; Hotta and Nakamura 2011), while diabatic heating over the warm portion of the WBC SST fronts to the warm and cold sectors of the cyclones supports the growth of transient baroclinic waves (Booth et al. 2012; Willison et al. 2013; Hirata and Nonaka 2021; Figs. 1b,c).
A standard method to diagnose the SST forcing mechanism of the storm track is to run a pair of AGCM simulations, one using observed SSTs (CONTROL), and another using a spatially smoothed SST field with weaker gradients (SMOOTH), which also alters absolute SST (Fig. 5). Alternatively, AGCMs are forced by shifting the latitude of the SST fronts or filtering mesoscale eddy SSTs (Seo et al. 2017). Such AGCM simulations indicate a strengthening of the storm track near the Kuroshio–Oyashio Extension (KOE) (Kuwano-Yoshida and Minobe 2017) and the Gulf Stream (O’Reilly et al. 2017) in CONTROL near the climatological maximum cyclogenesis (Fig. 5). Altered storm activity over the WBC regions influences the intensity of the coastal storms, and, thereby, inland weather near the Kuroshio (Nakamura et al. 2012; Hayasaki et al. 2013; Sugimoto et al. 2021), the Gulf Stream (Infanti and Kirtman 2019; Hirata et al. 2019; Liu et al. 2020), and the Agulhas Current (Singleton and Reason 2006; Nkwinkwa Njouodo et al. 2018).



(a)–(c) January observed SST, its difference (CONTROL − SMOOTH), and the difference (CONTROL − SMOOTH) in storm tracks over the North Pacific Ocean. The thin black contours show
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
Recent studies indicate that atmospheric mesoscale phenomena within the storm tracks, such as atmospheric fronts, directly interact with the WBC fronts. Parfitt and Czaja (2016) used reanalysis data over the Gulf Stream, and Parfitt et al. (2016) used AGCM simulations over the KOE to argue that the cross-frontal sensible heat flux gradients across the SST fronts exert “thermal damping or strengthening” of atmospheric fronts depending on the space–time alignment between the SST gradients and atmospheric fronts with shared cross-frontal length scales (Figs. 1b,c). The most significant diabatic heating by surface fluxes is concentrated on the narrow space–time scales at which the cold sectors of the atmospheric front coincide with the warm sector of the SST fronts (Fig. 1c), significantly enhancing precipitation associated with the atmospheric fronts and often facilitating explosive cyclogenesis (Hirata and Nonaka 2021 and references therein).
In contrast, other studies emphasize the limited role of SST fronts on extreme cyclones. AGCM experiments by Tsopouridis et al. (2021) indicated that the direct impacts of sharp SST fronts on individual cyclones over the Gulf Stream and KOE are weak, although SST fronts induce significant indirect responses in large-scale environments in which such storms form. Using an analytic model, Reeder et al. (2021) showed that diabatic frontogenesis over the WBCs intensifies atmosphere fronts only when strong and rapidly propagating synoptic systems are not already in the environment.
Much uncertainty remains in model simulations and observational analysis regarding the relative importance of SST gradients causing cross-atmospheric frontal sensible heat flux gradients versus absolute SST affecting the large-scale condensational heating over warm currents. Another critical issue is that since the SST contributions to the precipitation from the warm and cold sectors of extratropical cyclones differ in terms of magnitude and spatial distribution (i.e., broader for the warm sectors and more “anchored” to the SST fronts for the cold sectors; e.g., Vannière et al. 2017), the cold sector contribution might have been dominating the sensitivity of relatively high-resolution (∼50 km) AGCM simulations to SST smoothing. It remains an open question whether even higher-resolution AGCMs might amplify a sensitivity from the dynamics of the warm sectors, including atmospheric mesoscale instabilities developing on the warm conveyor belt (Czaja and Blunt 2011; Sheldon et al. 2017).
c. Near-surface wind convergence and vertical motion over the WBCs
A crucial part of the storm track response to SST is precipitation, which tends to cluster around the WBCs and is associated with high near-surface wind convergence (NSWC) and substantial vertical ascent. The climatological NSWC coincides with the ocean fronts and the Laplacians of SST and SLP, which indicates that the boundary layer process depicted by linear Ekman dynamics is germane to the observed NSWC and precipitation responses (Feliks et al. 2004; Minobe et al. 2008, 2010). However, the unambiguous attribution of NSWC to the steady Ekman-balanced mass adjustment mechanism remains difficult due to the coexistence of extratropical storm tracks with the WBC currents, which also induce minima in the time-mean SLP Laplacian over the SST fronts (O’Neill et al. 2017).
O’Neill et al. (2015) show from QuikSCAT observations and a regional atmospheric model that linear boundary layer dynamics cannot explain the daily time-scale occurrence of NSWC since, on rain-free days, surface divergence dominates even though the SST Laplacian would indicate convergence (Fig. 6). Using an extreme value filter, O’Neill et al. (2017) further show that NSWC and vertical motion over the Gulf Stream are highly skewed and consist of infrequent yet extreme surface convergence events and more frequent but weak, divergent events, such that the median surface flow field is weakly divergent or nearly nonconvergent (Fig. 6). Parfitt and Czaja (2016) and Parfitt and Seo (2018) argue that much of the precipitation and NSWC are associated with atmospheric fronts, given that only a weak near-surface divergence remains when the contribution from atmospheric fronts is removed (Rousseau et al. 2021). In contrast, Masunaga et al. (2020a,b) showed that storms and fronts of moderate intensity are significant contributors to the time-mean convergence observed over the Gulf Stream and KOE.



Maps of the 10-yr-mean QuikSCAT all-weather divergence, (a) consisting of all points and (b) after application of the 2σ temporal extreme-value filter, as well as (c) the difference between (a) and (b), and (d) the percentage of divergence points removed by the 2σ extreme-value filter. The contours in each panel are of the 10-yr-mean Reynolds SST with a contour interval of 2°C. From O’Neill et al. (2017). Figure reproduced with permission.
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
Current research emphasizes identifying how and why atmospheric fronts align with and linger over ocean fronts in all major WBCs and whether there is an additional underlying, steady, small-scale boundary layer effect. There might exist a distinct temporal dependence of the NSWC over WBC SSTs, where atmospheric fronts govern its day-to-day variability, while the pressure adjustment and vertical mixing mechanisms provide lower frequency modulations (e.g., Brachet et al. 2012; Small et al. 2022, manuscript submitted to J. Climate).
d. Nonlocal downstream atmospheric circulation responses
The upstream storm track variability leading to downstream development of the storm track is an essential characteristic of midlatitude baroclinic waves (Chang 1993). The altered synoptic-scale disturbances over the baroclinically unstable western basins (section 3b) radiate energy downstream, influencing the growth of a subsequent baroclinic wave toward the eastern basins (e.g., Chang and Orlanski 1993). The downstream atmospheric circulation also results from the synoptic eddy–mean flow interactions, where low-frequency atmospheric circulation is coupled with the transient eddy activity modified over the WBCs (e.g., Haines and Marshall 1987; Nakamura and Wallace 1990). Here, downstream (or remote, or nonlocal) refer to the region immediately east of the SST forcing and the tail end of the storm track abutting the west coasts of the continents, as illustrated in Fig. 1a.
Many AGCM studies demonstrate a nonlocal, downstream response in the storm track to WBC SST forcing. Using the observational datasets, Wills et al. (2016) and Joyce et al. (2019) identified significant transient atmospheric circulation responses (storm track and atmospheric blocking) downstream that lag the SSTA in the Gulf Stream Extension by several weeks to months. The modeling studies by O’Reilly et al. (2016, 2017) showed that a strengthened storm track over the Gulf Stream leads to the northward shifted atmospheric eddy-driven jet and the increased European blocking frequency far downstream. Along a similar line, Lee et al. (2018) suggested that SST biases near the Gulf Stream trigger extended biases in the simulation of deep convection and downstream circulation via Rossby wave response.
In the North Pacific, O’Reilly and Czaja (2015) found that baroclinic eddies grow faster when the Kuroshio Extension (KE) front is in its stable regime (stronger SST gradients). The local shift in baroclinic wave activity leads to the early barotropitization of the baroclinic eddies downstream, resulting in weaker poleward eddy heat flux and increased occurrence of blocking in the eastern Pacific. An AGCM study by Kuwano-Yoshida and Minobe (2017) also suggested the enhanced storm track by the KOE SST fronts leads to a northward shifted storm track in the eastern Pacific. Ma et al. (2015, 2017) showed from AGCM simulations that the transient SSTA associated with the KOE mesoscale eddies leads to a northward shifted storm track and reduced precipitation in parts of western North America (Foussard et al. 2019b; Liu et al. 2021; Siqueira et al. 2021).
In the Southern Ocean, Reason (2001) showed that amplified cyclone activity over the warm Agulhas Current yielded an enhanced storm track in the southeast Indian Ocean. Recent aquaplanet AGCM experiments have also demonstrated the critical role of the oceanic fronts in shaping the structure of the baroclinic annular mode variability (e.g., Sampe et al. 2013; Ogawa et al. 2016; Nakayama et al. 2021), leading modes of variability of the extratropics (e.g., Thompson and Wallace 2000). Evidence exists that the oceanic frontal zones also impact the troposphere–stratosphere interactions (e.g., Hurwitz et al. 2012; Ogawa et al. 2015; Omrani et al. 2019), potentially affecting the entire hemispheric climate patterns.
e. Climate change
Climate change simulations for the twenty-first century have emphasized the critical role of ocean circulation leading to natural modes of variability such as ENSO and PDO (Seager et al. 2001), the projected weakening of the Atlantic meridional overturning circulation (AMOC; Weaver et al. 2012), and the delayed warming of the Southern Ocean (Marshall et al. 2014). These changes are relevant to the observed and projected intensification and poleward shift of the Kuroshio and Agulhas, weakening of the Gulf Stream, and changes in the frontal systems of the Antarctic Circumpolar Current (ACC) (e.g., Wu et al. 2012; Yang et al. 2016; Sen Gupta et al. 2021).
The latest IPCC report (IPCC 2021) indicates that, during the twenty-first century, the North Pacific storm track will most likely shift poleward, the North Atlantic storm track is unlikely to have a simple poleward shift, and the Southern Hemisphere storm track will likely shift poleward. Understanding these regional differences in projected changes in midlatitude storm tracks and precipitation and their association with the predicted WBC changes has been the primary goal of high-resolution CGCM studies, especially those that contrast the CGCMs with the eddy-rich ocean (typically 0.1° resolution) to those with the eddy-parameterized ocean (0.5°–1°). These studies with increased ocean model resolution to mitigate the known biases in representing the WBC dynamics and separation show distinct responses in SSTs and storm tracks in the WBC regions to anthropogenic climate change.
In these eddy-rich simulations, the KOE front shifted equatorward, contrary to projections by the eddy-parameterized IPCC-class CGCMs, which likely reflects the large natural variability in the North Pacific (Taguchi et al. 2007; Seager and Simpson 2016). In the North Atlantic, the Gulf Stream separation tends to be too far north in lower-resolution models, an issue common to other WBCs, but is improved in eddy-rich models. This makes it possible for the separation to move northward as a response to AMOC weakening in eddy-rich models (Gervais et al. 2018; Moreno-Chamarro et al. 2021; Grist et al. 2021), leading to a significant projected ocean warming near the U.S. eastern coastline (Fig. 7; Karmalkar and Horton 2021). In the Southern Ocean, CMIP5-based climate change simulations indicate delayed warming, often attributed to stratospheric ozone depletion (McLandress et al. 2011; Polvani et al. 2011). However, the recent satellite observations and eddy-rich CGCMs simulations indicate a ubiquitous cooling trend (1961–2005) poleward of the ACC due to the effects of resolved ocean eddies (Bilgen and Kirtman 2020). Analysis of eddy-rich ocean simulations also indicates warmer and stronger Southern Hemisphere WBCs, suggesting that resolved ocean eddies play a critical role in long-term SST changes.



2031–50 minus 1951–70 differences simulated by the HadGEM3-GC3.1, with 25-km atmospheric resolution coupled to 1/4° ocean (eddy-permitting, HM) and 1/12° ocean (eddy-rich, HH): SST (°C) for (a) HH and (b) HM, precipitation (m s−1) for (d) HH and (e) HM, and surface storm track (m s−1) for (g) HH and (h) HM, as well as (c),(f),(i) the differences between the HH future change and the HM change. The black lines denote the 95% significance. Gray lines in (c), (f), and (i) denote the 90% significance. From Grist et al. (2021). Figure reproduced with permission.
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
The reorganization of the oceanic frontal zone and its associated eddy field modulates the atmospheric low-level baroclinicity and the strength and location of the diabatic heating source for the atmosphere. It is clear from this and other studies (Woollings et al. 2012; Winton et al. 2013; Keil et al. 2020) that such features would not occur without ocean circulation changes. However, the exact pattern of large-scale SST change is highly dependent on the ocean model and its resolution (Saba et al. 2016; Menary et al. 2018; Alexander et al. 2020), which also affects the projected WBC responses to climate change (Jackson et al. 2020). Climate projections with eddy-rich oceans have typically been performed with a small number of realizations and for short durations due to high computational costs (e.g., Haarsma et al. 2016). Currently, high-resolution coupled climate modeling projects are underway with much longer integration and multiensembles (e.g., Chang et al. 2020; Wengel et al. 2021). These efforts will enable a robust assessment of the forced responses in WBC and ocean circulation from natural variability in response to projected changes in the large-scale climate.
4. Feedback of atmospheric responses onto the ocean
The new insights gained from the studies discussed in section 3 have also led to improved process understanding and notable revisions of theories of ocean circulation. This section discusses current knowledge of ocean feedback mechanisms, including feedback impacts on ocean biogeochemical cycles, and theories of ocean circulation and model parameterizations to account for eddy–atmosphere interaction. The processes covered in this section correspond mainly to Figs. 1e and 1f.
a. Feedback on ocean circulation
For simplicity, we consider two categories of oceanic mesoscale effects on air–sea fluxes: SST impacts (thermal) described in section 2b(1) and surface current impacts (mechanical) in section 2b(2). The thermal feedback results from kinematic and thermodynamic responses in the MABL to mesoscale SSTs, modifying the wind stress and heat fluxes. The current feedback represents the frictional processes by which the surface ocean current alters the wind stress, near-surface wind, and turbulent heat fluxes. This subsection focuses on the respective feedback impacts of the air–sea fluxes on ocean circulation.
1) Thermal feedback effect
Observed near-surface wind stress responses to mesoscale processes by Chelton et al. (2004) were interpreted based mainly on the thermal feedback (TFB) effect. Vecchi et al. (2004) and Chelton et al. (2007) hypothesized that the wind stress curl responses to SST fronts exert a vital feedback mechanism driving the evolution of SST fronts via resulting anomalous Ekman pumping. Spall (2007b) considered the impacts of SST-induced Ekman pumping on baroclinic instability in the ocean in the modified linear theory by Eady (1949), showing that the SST-induced Ekman pumping adjusts the growth rate and wavelength of the most unstable waves, especially the low-latitude flows with strong stratification. Hogg et al. (2009) extended SST-induced Ekman pumping to an idealized double-gyre circulation in midlatitudes, showing that it destabilizes the eastward jet with the enhanced cross-gyre potential vorticity fluxes, stabilizing the double gyre circulation by 30%–40%.
Mesoscale SSTAs are damped by induced turbulent heat fluxes (THF), resulting in a negative SST–THF correlation at oceanic mesoscales. Over the KOE, Ma et al. (2016) examined this mesoscale SSTA damping in the context of the eddy potential energy (EPE) budget and the Lorenz energy cycle. Compared to the eddy-filtered coupled model simulation (using a 1000 km × 1000 km boxcar filter), the eddy-unfiltered simulations showed a significant increase (>70%) in diabatic EPE dissipation, leading to a decrease in eddy kinetic energy (EKE) by 20%–40%, most strongly at wavelengths shorter than 100 km (Fig. 1d). Other studies find that TFB has a weak impact on EKE (Seo et al. 2016; Seo 2017). It is possible that a large filter cutoff, as used in Ma et al. (2016), overestimates EKE damping and may also smooth large-scale meridional SST gradients, altering the large-scale wind curl and the mean circulation. Bishop et al. (2020) evaluated the EPE damping over the global oceans using eddy-resolving climate model simulations to find that the diabatic EPE damping was systematically stronger over warm-core eddies (Figs. 1c,e). Other studies point out that the efficacy of the negative SST–THF correlation in the maintenance of the mesoscale SSTA and their gradients depends on the distribution of the mixed-layer depth, which modulates the effective heat capacity, vertical eddy heat transport, and hence the sensitivity of the SST to the heat flux anomaly (e.g., Tozuka et al. 2017, 2018; Jing et al. 2020).
2) Current feedback effect
Although weaker than surface winds, surface currents modify surface stress directly by altering wind speed (Bye 1986). By modulating the stress, the current feedback (CFB) exerts a “bottom-up” effect on the wind, where a positive current anomaly causes a positive wind anomaly via a negative stress anomaly (Renault et al. 2016a, 2019a). The CFB effect has initially focused on impact on wind stress. Using satellite and in situ data, Kelly et al. (2001) showed that CFB reduces the median wind stress from 20% to 50% near the equator, and Chelton et al. (2004) observed a clear imprint of the Gulf Stream flow on the surface stress and the curl.
Several studies have highlighted the role of CFB as a “top drag” (Dewar and Flierl 1987), acting on the oceanic circulation over a wide range of space–time scales. At the large-scale where the currents tend to flow downwind (Fig. 1e), CFB reduces the mean energy input from the atmosphere to the ocean and slows down the mean circulation (Pacanowski 1987). By weakening net energy input to the ocean, CFB triggers a host of changes in eddy–mean flow interactions and the inverse cascade of energy, weakening baroclinic and barotropic instabilities and mesoscale activity (Renault et al. 2017b, 2019a; Fig. 8). When the wind and current are in the opposite sense, the CFB serves as a conduit of energy from the ocean to the atmosphere, which can be seen from satellite data as negative mean and eddy wind work (Fig. 8a; Scott and Xu 2009; Renault et al. 2016a,b, 2017a). Numerous studies have demonstrated a strong EKE damping effect of ∼30% [see references in Jullien et al. (2020); Fig. 8b]. CFB also induces additional Ekman pumping that weakens an eddy (Gaube et al. 2015) and influences the upper-ocean stratification and SST (Seo et al. 2019; Song et al. 2020).



(a) Geostrophic eddy wind work (10−5 m3 s−3) estimated from the EC-Earth global coupled simulation (15 km atmosphere coupling 1/12° ocean) with current feedback (CFB). The negative values indicate a momentum transfer from geostrophic mesoscale currents to the atmosphere. This sink of energy is the primary driver of the damping of EKE illustrated in (b), as the difference of EKE (m2 s−2) between the simulations without CFB and with CFB. The positive values indicate the relative increase in EKE in the absence of CFB due to the transfer of the momentum to the atmosphere. The geostrophic wind work and EKE are both estimated over 30 years. Details about the coupled model and experiments can be found in Renault et al. (2019c).
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
Recent studies also have emphasized the CFB impact on near-surface winds (Renault et al. 2016a, 2017a, 2019a). Over the shelf oceans where the current speed at tidal frequencies well exceeds the wind speed, tidal currents induce tidal winds, with an amplitude of about one-third of the underlying tidal currents (Renault and Marchesiello 2022). Since the wind curl is more strongly impacted by current gradients (Shi and Bourassa 2019), the consideration of wind–current coupling at tidal frequency might be necessary for the simulation and prediction of surface winds and the MABL momentum EKE balances in the offshore environments.
There are several open questions. First, little is known about CFB at the submesoscale. For the U.S. West Coast, Renault et al. (2018) highlighted a submesoscale dual effect of CFB: it damps submesoscale eddies but also catalyzes submesoscale current generation by affecting mixing, stratification, and eddy variability, Second, CFB modulates biogeochemical variability (McGillicuddy et al. 2007), yet the detailed mechanisms behind the biogeochemical impacts are not fully understood, although the impact depends highly on background stratification (e.g., Kwak et al. 2021). Finally, since CFB and TFB coexist where mesoscale currents are strong (Song et al. 2006; Seo et al. 2007; Takatama and Schneider 2017; Renault et al. 2019b; Shi and Bourassa 2019), CFB likely influences large-scale boundary layer moisture, clouds, precipitation, and atmospheric circulation via rectified effects. However, this downstream influence is only beginning to be explored (e.g., Seo et al. 2021).
b. Wave–current interactions near ocean fronts
While sea state is a salient aspect of air–sea fluxes (Fairall et al. 1996; Cavaleri et al. 2012; Edson et al. 2013), there are other aspects related to surface wave interactions with (sub)mesoscale currents potentially important for small-scale air–sea interaction (section 6c). For example, it has long been known that sheared currents affect the propagation of surface wave rays (Villas Bôas and Young 2020). In the open ocean, the spatial gradients in mesoscale surface currents dominate the variability of significant wave height, leading to the refraction of waves near steep vorticity gradients (Ardhuin et al. 2017; Villas Bôas et al. 2020). Similarly, the underpinnings of the Craik–Leibovich theory of Langmuir turbulence specify that rectification of wave–vorticity interactions in the upper ocean leads to Stokes forces, which can cause substantial wave effects on currents (Leibovich 1983; Lane et al. 2007). The LES models that include vortex forces and regional models that include the wave refraction by currents (Romero et al. 2020) illustrate the frontal adjustment and frontogenesis triggered or enhanced by surface wave interactions (McWilliams and Fox-Kemper 2013; Suzuki et al. 2016; Sullivan and McWilliams 2019). Examples are provided in Fig. 9 (upper panel), where a submesoscale density front in the downwind and down-Stokes direction interacts with Langmuir turbulence. Strong overturning circulation (downwelling) sharpens the front and strengthens the alongfront jet. Classic balances are altered by waves to yield the wavy Ekman balance (McWilliams et al. 2012), the wavy geostrophic balance (McWilliams and Fox-Kemper 2013; Fig. 9, lower panel), and the baroclinic and symmetric instabilities affected by waves (Haney et al. 2015).



(top) Examples of a front interacting with Langmuir turbulence (box centered on this feature), which is aligned in the downwind and down-Stokes direction. (a) Vertical velocity (m s−1) at z = −11.25 m shows ubiquitous Langmuir cells, but also a long, coherent (downwelling) overturning circulation along the front due to frontogenesis and accelerated by the Stokes shear force. (b) Along-front (x-direction) velocity anomaly (with respect to the horizontal mean; m s−1) at z = −11.25 m shows the frontal flow. (c) Buoyancy anomaly (with respect to the horizontal mean; m s−2) at z = −11.25 shows the front characterized by a sharp transition in buoyancy (or temperature). Adapted from Suzuki et al. (2016). (d) Estimated ratio of ε (strength of Stokes drift-induced vertical acceleration versus buoyancy, an indicator of wave contributions added to the traditional hydrostatic balance) to Rossby number (indicating geostrophic balance). This ratio implies the deviation from the hydrostatic balance due to waves compared to the geostrophic balance due to advection. This estimate is based on the de Boyer Montégut et al. (2004) mixed layer depth climatology (h) and a global simulation of WaveWatch3 and AVISO geostrophic velocity. Figures redrawn from McWilliams and Fox-Kemper (2013).
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
c. Physics of ocean mesoscale processes and air–sea interaction
Traditionally, mesoscale and submesoscale eddy parameterizations have been deterministic and focused only on effects on the mean and variance of tracers (Gent and McWilliams 1990; Fox-Kemper et al. 2011), while neglecting rectified effects on air–sea coupling. However, in simulations where some eddies are resolved, deterministic closures do not stimulate a resolved eddying response or backscatter (e.g., Bachman et al. 2020). In response, there is a growing desire to implement stochastic parameterizations of the eddy transport into non-eddy-resolving models, for example, via uncertainty in location (Mémin 2014), transport (Drivas et al. 2020), closure (Nadiga 2008; Jansen and Held 2014; Zanna et al. 2017; Bachman et al. 2020), or equation of state (Brankart 2013). These efforts should include stochastic parameterizations of the eddy-driven air–sea coupling (Ma et al. 2016; Bishop et al. 2020; Jing et al. 2020). As stratification and rotation parameters vary globally, building scale awareness into parameterizations is also crucial (Hallberg 2013; Dong et al. 2020, 2021). Changing the relative orientation of atmospheric winds and oceanic fronts leads to qualitatively different results (e.g., enhancement vs. suppression of submesoscales; Fig. 1f), implying that directional subgrid information will be necessary to consider (e.g., D’Asaro et al. 2011; Suzuki et al. 2016; McWilliams 2016). Observed air–sea fluxes are highly variable, indicating a response to high spatiotemporal variability (Yu 2019), scale dependence (Bishop et al. 2017, 2020), and sea state dependence (Kudryavtsev et al. 2014), thus offering the potential for stochastic implementation. While idealized studies have begun to develop a process-level understanding (Sullivan et al. 2020, 2021), no realistic model implementation of stochastic air–sea fluxes seems to have been evaluated carefully.
d. Impacts on primary productivity
Mesoscale air–sea interaction can also influence biogeochemical environments and primary productivity (e.g., McGillicuddy 2016). Satellite observations show that the wind stress responses to mesoscale SST and currents introduce perturbation Ekman upwelling and downwelling (e.g., Gaube et al. 2015), leading to dramatic midocean mesoscale plankton blooms, such as those observed in the nutrient-replete subtropics (e.g., McGillicuddy et al. 2007). Additionally, eddy-induced modifications of wind stress impact vertical mixing in the upper oceans. Eddy effects on mixed-layer depths are asymmetric between anticyclones and cyclones (e.g., Dufois et al. 2017; Hausmann et al. 2017). However, to what extent this asymmetry stems from the mesoscale modulations of surface wind stress has yet to be determined. Considering the prevalence and persistence of nonlinear mesoscale eddies in the global oceans (Chelton et al. 2011a,b), the relevance of mesoscale eddy impacts on primary productivity via eddy–wind interaction needs robust quantification.
5. State of observational capabilities
Observing mesoscale air–sea interaction processes is challenging since multiple oceanic and atmospheric parameters must be measured with high accuracy and spatiotemporal resolution. The past decade has seen the emergence of many novel in situ and remote sensing platforms that increasingly better capture mesoscale and smaller processes with high accuracy and resolution (e.g., Kessler et al. 2019, ch. 9). These novel observational technologies are expected to provide opportunities for multiplatform, coordinated measurements for air–sea interaction studies (e.g., Bony et al. 2017; Wang et al. 2018).
a. In situ observations
Oceanographic moorings can be equipped with meteorological instruments, including direct covariance flux systems and bulk meteorological sensors, to provide directly measured and bulk-estimated air–sea fluxes, respectively. An example system is shown in Fig. 10 from the second Salinity Processes in the Upper-ocean Regional Study (SPURS-2) experiment, which computed and telemetered in near-real-time the motion-corrected surface wind stress and sensible and latent heat fluxes from a surface mooring for the first time (Clayson et al. 2019). There is overall a good qualitative agreement between the measured and estimated air–sea fluxes (Bigorre et al. 2013). However, the bulk formula method underestimates the momentum flux and overestimates the buoyancy flux under high wind conditions. These biases are categorically related to deficiencies in formulations for the drag and heat transfer coefficients. Edson et al. (2013) revised the formulations for drag coefficient in COARE 3.5 to alleviate the low drag coefficient bias and proposed a new formula for heat transfer coefficients. Ayet and Chapron (2022) reviewed potential wave–atmospheric turbulence coupling mechanisms that allow for further refinements. Recently, buoy arrays have been deployed as part of the Ocean Observatories Initiative (OOI; Trowbridge et al. 2019) and operated for years on both coasts. These in situ data and the simultaneous measurements of surface meteorology and wave conditions are crucial to reducing the uncertainty in air–sea flux estimates in modern bulk formulas (Edson et al. 2013; Cronin et al. 2019; Villas-Bôas et al. 2019).



(left) The SPURS-2 central mooring with instrumentation at the upper right includes a sonic anemometer, infrared hygrometer, and sensors to remove buoy motion. The sensor package can directly measure the surface stress, sensible heat, and latent heat fluxes [see Clayson et al. (2019) for more details on instrumentations]. (right) Time series of these fluxes showing bulk estimates in red and direct covariance (DC) fluxes in black. A good qualitative agreement is seen between the bulk and DC estimates, with the most significant discrepancies visible in the sensible heat flux (Bigorre et al. 2013). The coincident measurements of direct flux and bulk meteorology from SPURS-2 and prior field campaigns (e.g., CBLAST, DYNAMO, CLIMODE, etc.) are being used for improving the bulk flux algorithm for turbulent heat flux transfer coefficients. Photo by James B. Edson (WHOI).
Citation: Journal of Climate 36, 7; 10.1175/JCLI-D-21-0982.1
Autonomous surface vehicles (ASVs) are piloted wave- or wind-propelled surface platforms that can be instrumented with ocean, atmospheric, and biogeochemical sensors. Widely used ASVs include Saildrones (Meinig et al. 2019) and Wave Gliders (Thomson and Girton 2017), which have long-endurance (∼6 months) and can sample in remote locations and be piloted across fronts. Using numerous instruments can mitigate issues with cross-frontal sampling and thus capture mesoscale and smaller variations in air–sea interaction (Quinn et al. 2021; Stevens et al. 2021).
Drifting platforms can be instrumented with various sensors that capture air–sea interaction. The Global Drifter Program, a global network of surface drifters that typically measure currents, SST, and barometric pressure, has contributed to understanding global mesoscale circulation (Laurindo et al. 2017; Centurioni et al. 2019). Drifting spar buoys (Graber et al. 2000; Edson et al. 2013) have been measuring surface fluxes in situ for decades. In recent years, sophisticated low-profile Lagrangian platforms have been developed, such as SWIFTs (Surface Wave Instrument Floats with Tracking; Thomson 2012), to measure surface currents, waves, and near-surface ocean turbulence over various wave conditions. Benefits of drifters include relatively low cost and Lagrangian sampling. However, they tend to converge at fronts; therefore, multiple drifters are necessary to characterize cross-frontal structure (D’Asaro et al. 2018).
Recent advancements in biologging technology may help facilitate autonomous measurements and real-time monitoring of essential ocean variables that may be important for air–sea interaction studies (Harcourt et al. 2019). As the biologging data can track mesoscale eddies and fronts in greater detail (Charrassin et al. 2008; Miyazawa et al. 2019) and can be assimilated into operational models (Yoda et al. 2014; Miyazawa et al. 2016), the application of animal-borne sensors has the potential to advance predictive capabilities of extratropical cyclones that strongly interact with the oceans (section 3b).
Aircraft measurements are crucial for air–sea interaction studies. The platform’s mobility is advantageous because of its ability to obtain in situ measurements of the horizontal and vertical variability in and above the MABL in a short time. With carefully designed flight patterns, it can also derive mesoscale forcing to the boundary layer using the velocity field measured at flight level (Lenschow et al. 1999; Stevens et al. 2003). In the past 20 years, air-deployable sensor packages such as GPS dropsondes, AXBT, AXCTD, and instrumented floats have further expanded the sampling capability to depict the entire column of the atmosphere and the upper ocean, particularly when low-level flights are not feasible (Doyle et al. 2017). In recent years, airborne measurements have been extended to 10 m above the sea surface using a controlled towed vehicle (Wang et al. 2018). This new capability is significant to air–sea interaction studies, particularly surface flux parameterization.
b. Remote sensing
Emerging remote sensing platforms, including satellite, ground-based, or airborne measurements, present promising means to estimate air–sea fluxes at ocean mesoscale and smaller. Scatterometer and microwave measurements provide collocated global views of ocean vector winds and SST under all wind conditions at daily scales. However, considerable uncertainty exists under extreme conditions due to inconsistent in situ reference wind speeds from dropsondes and moored buoys to calibrate satellite winds (e.g., Polverari et al. 2021). This also implies uncertainties in modeling ocean drag and air–sea interaction. The virtual constellation of scatterometers (Stoffelen et al. 2019) provides good temporal coverage of the extremes, with now seven scatterometers in space with revisits globally within 30 min or a few hours (Gade and Stoffelen 2019). Future satellite observations will need to resolve synoptic variability under strong wind and rain and increase the resolution of the vertical profiles within the MABL to better estimate the relationship between the surface flux and flux profiles.
For momentum fluxes, key variables are surface winds, currents, and waves. In coastal regions, high-frequency radar systems provide surface currents at O(1) km resolution (Kim 2010; Paduan and Washburn 2013; Kirincich et al. 2019), which can be used to infer surface wave conditions and wind stress (e.g., Saviano et al. 2021). The airborne DopplerScatt system simultaneously captures surface wind stress, waves, and currents (Wineteer et al. 2020) and is central to the Submesoscale Ocean Dynamics Experiment (S-MODE; Farrar et al. 2020). Similar concepts for new satellite observations have been proposed (see Villas Bôas et al. 2019) and are currently in various development stages (e.g., Bourassa et al. 2016; López-Dekker et al. 2019; Gommenginger et al. 2019; Wineteer et al. 2020). Surface waves are crucial for accurate estimates of momentum flux; new satellite missions such as CFOSAT (Chinese-French Oceanography Satellite) simultaneously measuring waves and winds (Ardhuin et al. 2019) are expected to improve the accuracy of the wind speed and wave-based formulations in the advanced bulk formula for air–sea flux. Satellite surface measurements of stress-equivalent winds more closely respond to stress than wind (e.g., de Kloe et al. 2017). Given the persistent large-scale and mesoscale errors in NWP reanalyses (Belmonte Rivas and Stoffelen 2019; Trindade et al. 2020), these new satellite observations collocated with in situ measurements of surface stress will be valuable for understanding stress-related air–sea coupling and improving ocean modeling and marine forecasting (Bourassa et al. 2019).
In contrast to momentum flux, a critical gap remains in the current satellite remote sensing capability to provide accurate global estimates of turbulent heat and moisture fluxes. Current satellite remote sensing systems rely on bulk parameterizations to estimate net heat and gas fluxes (Cronin et al. 2019). Mesoscale air–sea interaction studies will benefit significantly from a satellite mission that measures collocated, small-scale state variables, including near-surface atmospheric temperature and humidity, SST, and wind speed, that allow accurate estimates of the turbulent heat fluxes (e.g., Gentemann et al. 2020). This will also help validate the numerical models to lower the uncertainty in air–sea heat flux and improve related predictions.
6. Discussion and synthesis
Since the first global-scale surveys of the mesoscale air–sea interactions by Chelton et al. (2004) and Xie (2004), our theoretical understanding and observational and modeling capabilities in the past two decades have advanced significantly, leading to a substantial body of literature related to ocean mesoscale air–sea interaction. Our current scientific understanding indicates that mesoscale eddies perturb the MABL via surface flux anomalies, leading to dynamic and thermodynamic adjustments (section 2; Fig. 1d). The MABL response is communicated to the free troposphere, especially over WBCs (Figs. 1b,c), influencing downstream development of weather and short-term climate events (section 3; Figs. 1a,b). The MABL response feeds back to the ocean circulation, modifying WBC dynamics, air–sea gas exchanges, and nutrient distribution (section 4; Figs. 1e,f). This new knowledge has transformed our classical understanding of physical processes, leading to notable revisions of oceanic and atmospheric circulation theories that incorporate the coupled effects of ocean mesoscale processes, wave, and biogeochemical processes (section 4). Our observing capability has advanced rapidly to characterize mesoscale air–sea interaction (section 5). However, numerous challenges and open questions remain. The remainder of the chapter will focus on physical and biological aspects of modeling, observational, and diagnostic approaches that require further research in the coming years.
a. Attribution of near-surface wind convergence
While the WBC SST impact on the MABL dynamics is increasingly better understood, there are some critical remaining questions regarding the essential role of WBC SST forcing on the time-mean atmospheric state. The ongoing debates about the origin of the near-surface wind convergence (NSWC) and the maximum precipitation over WBCs are particularly relevant as they entail important implications pertinent to various aspects of the topics discussed in this article. That is, assessing whether the steady linear boundary layer dynamics account for the time-mean NSWC and vertical motion requires a detailed understanding of the modulation of boundary layer ageostrophic circulation by SST (section 2; Fig. 1d). On the other hand, the demonstrated impacts of storms and atmospheric fronts on the NSWC require a careful examination of extratropical cyclogenesis modulated by the diabatic forcing over the ocean fronts (section 3; Figs. 1b,c). Overall, any approach to quantifying the nature of the relationships between NSWC and SST will need to robustly separate the small-magnitude convergence predicted by linear boundary layer theory from the large anomalous convergence induced by storm systems that are several orders of magnitude greater.
b. Robust diagnostic framework
The debate about the role of SST fronts in the NSWC arises partly due to the lack of a robust process-based diagnostics and analytic framework to interpret the observed convergence patterns. The existing analytical model of Schneider and Qiu (2015) discussed in section 2c offers a complete account of the role of boundary layer dynamics over the SST fronts, providing the two limiting cases of wind response to SST dependent on background wind speed. The model also suggests an extension of the diagnostic framework from the widely used coupling coefficients to lagged regression, impulse response, or corresponding spectral transfer functions. Yet, the model assumes a quasi-steady state and does not account for the stochastic and moist processes associated with the storm tracks and their synoptic-scale influence on NSWC. A critical path forward is to incorporate the time-dependent and moist processes related to extratropical storms along SST frontal zones and the local SST-induced boundary layer response in a single analytical framework. Given the coexistence of the SST and current feedback effects along the frontal zones, any future development of diagnostic frameworks will also have to consider the mechanical coupling effects simultaneously along with the thermal effects (e.g., Takatama and Schneider 2017; Seo 2017; Renault et al. 2019a).
c. Large-scale impacts in climate models
Numerous studies have demonstrated WBC impacts on downstream atmospheric circulation (Fig. 1e). Some studies argue that the sharpness of WBC fronts shifts the storm track and jet stream, influencing the blocking frequency in Europe and the northeastern Pacific (e.g., Kuwano-Yoshida and Minobe 2017; O’Reilly et al. 2016, 2017; Piazza et al. 2016). Other studies find that meridional shifts of WBC fronts alter the atmospheric transient eddy heat flux downstream (e.g., Frankignoul et al. 2011; Kwon and Joyce 2013; Seo et al. 2017; Joyce et al. 2019). Warm-core eddies near the KOE act as significant oceanic sources of moisture and heat for large-scale circulation, altering downstream precipitation patterns (Ma et al. 2015, 2016; Liu et al. 2021). The importance of the seasonal background state in the atmosphere has also been recognized as it shapes the atmospheric response to SSTA (e.g., Taguchi et al. 2009; Huang et al. 2020).
However, some aspects of the far-field circulation response and its statistical significance remain elusive (Kushnir et al. 2002; Kwon et al. 2010; Czaja et al. 2019). Deriving a robust conclusion on downstream influences is particularly challenging difficult because the studies adopt different methods to define WBC SST impacts, leading to distinct amplitudes/patterns of SST perturbations and atmospheric responses. This uncertainty is in addition to differences in model climatologies. To date, the relative impacts of sharpness of SST gradient, its meridional shift, and activity of warm or cold-core eddies remain unquantified (Parfitt and Seo 2018). The importance of the coordinated modeling and diagnostic approaches regarding this specific point is emphasized in section 6d.
d. Coordinated climate modeling and improved physical parameterizations
Significant progress can be made in understanding results and uncertainties in climate models of different complexity and resolutions via coordinated modeling experiments with resolutions at or beyond the ocean mesoscale and shared sets of diagnostics. The CMIP6 HighResMIP protocol (Haarsma et al. 2016) and PRIMAVERA project (Bellucci et al. 2021) well represent the community’s interests in this direction. Analyses from a subset of these models reveal significant model resolution sensitivity (especially in the oceans) of the simulated air–sea interaction and climate regimes in the extratropics (e.g., Jullien et al. 2020; Moreton et al. 2021). Further advances in model resolution, for example, DYAMOND (Stevens et al. 2019) and the planned HighResMIP2, together with programs such as OASIS (Observing Air–Sea Interaction Strategy; https://airseaobs.org; Cronin et al. 2022) that aims to bring observations and models closer together, will build on these previous efforts and provide further insights into the fidelity of modeled mesoscale air–sea interactions. Furthermore, in the ocean and coupled models where the ocean eddies are not fully or only partially resolved, their rectified effects on the air–sea heat, momentum, and tracer fluxes are not currently parameterized. Various stochastic representations of eddy transports are being tested and implemented (section 4c), which can potentially address this issue of low-frequency rectification effects by eddies on large-scale climate via air–sea interaction. (e.g., Siqueira and Kirtman 2016).
e. Air–sea interaction mediated by ocean submesoscale and sea state
The ocean submesoscale processes with length scales smaller than ∼10 km are essential for the ocean energy cycle (Lorenz 1960), global heat balance (Su et al. 2018), and marine biogeochemistry and ecosystems (Omand et al. 2015; Lévy et al. 2018). While the dynamics of the submesoscale ocean instabilities are becoming better understood (e.g., Fox-Kemper et al. 2008; D’Asaro et al. 2011), their direct impact on the MABL and heat and carbon uptake by the oceans (e.g., Johnson et al. 2016; Bachman et al. 2017; du Plessis et al. 2019) remain poorly understood. Thus far, only a few satellite-based studies provide direct observational evidence of relative wind stress response to submesoscale SST fronts (e.g., Beal et al. 1997; Xie et al. 2010; Gaube et al. 2019; Ayet et al. 2021), although prior in situ observational studies have long documented such interactions in localized regions (e.g., Sweet et al. 1981; Friehe et al. 1991; Mahrt et al. 2004). While results from high-resolution numerical simulations (e.g., LES) indicate submesoscale SST-driven MABL dynamics (Skyllingstad et al. 2007; Lambaerts et al. 2013; Wenegrat and Arthur 2018; Lac et al. 2018; Sullivan et al. 2020, 2021), they also recognize the importance of advection and convective organization in characterizing the nonlinear MABL dynamics that co-occur at the submesoscale. As for the oceanic impact, the ocean current feedback dominates the wind stress response at the submesoscale, influencing the kinetic energy cascade (Renault et al. 2018). Spatial variability in sea state and surface roughness is enhanced at the submesoscale, and hence wave–current interactions (e.g., Villas Bôas and Pizzo 2021) and wave–wind interactions (e.g., Deskos et al. 2021) are expected to be critical in determining wind stress, heat flux, and MABL variations (Ayet et al. 2021; section 4b), yet such processes remain poorly observed, understood, and parameterized. Emerging in situ and satellite observations for near-surface processes (section 5), combined with dedicated atmospheric and oceanic LES and high-resolution modeling studies, will help improve the physical understanding of air–sea interactions at the submesoscale.
f. Air–sea gas flux exchange and ocean biogeochemistry processes
Estimates of air–sea gas exchange do not fully consider the effects of ocean mesoscale eddies and fronts. One issue is that the gas transfer velocity typically does not consider wind variations introduced by mesoscale air–sea interactions. The transfer velocity is also often based on wind speed (e.g., Wanninkhof 1992). Hence, it only implicitly accounts for the sea state variations. Studies with parameterizations that consider bubble-mediated gas exchanges due to breaking waves (e.g., Frew et al. 2007; Deike and Melville 2018) reveal their significant contribution to regionally integrated CO2 flux, especially under midlatitude storm tracks (e.g., Reichl and Deike 2020). To accurately represent the sea state influence modulated by mesoscale processes in the transfer velocity-based flux parameterization (e.g., Fairall et al. 2011; Edson et al. 2011), it is imperative to increase direct measurements of CO2 flux (e.g., McGillis et al. 2001) along with the coincident observations of wind, waves, solubility, and air–sea partial CO2 pressure differences.
Further, mesoscale air–sea interaction feeds back to ocean primary productivity (Lévy 2008; McGillicuddy 2016) and tracer concentrations, such as carbon. Since the physical properties of mesoscale eddies and their relationships with biogeochemical variables vary widely by region (e.g., Chelton et al. 2011a; Gaube et al. 2013, 2014; Frenger et al. 2018), future work should aim to identify the specific aspects of this regional variability that are due to mesoscale air–sea interaction and subsequent impacts on upwelling and vertical mixing. Eddy-rich climate model simulations are one avenue to gain quantitative insight into the relevance of the complex coupling of ocean mesoscale features, biogeochemistry, and the atmosphere. Few such simulations exist due to their computational expense (e.g., Harrison et al. 2018), but we expect this to change in the coming years. Dedicated field experiments combined with eddy-resolving coupled physical–biogeochemical models are critical to determining what aspects of mesoscale air–sea interactions need to be considered and represented in non-eddy-resolving models.
g. Final remarks
Prospects for significant advances in mesoscale air–sea interaction in the coming years are incredibly bright. Strong community efforts and enthusiasm exist for building sustained observational networks to characterize detailed physical and biogeochemical processes across the air–sea coupled boundary layers (e.g., OceanObs’19 White Papers; OASIS; U.S. CLIVAR’s air–sea interaction research initiatives). New satellite missions with advanced instrument technology and retrieval algorithms will continue to improve our capability to monitor state variables pertinent to air–sea interactions at fine scales and with increased accuracy. These new observations will lead to updated physical parameterizations that are becoming increasingly more scale-aware and that can be potentially built with stochastic schemes that account for rectified effects of eddy transports on air–sea flux and large scales. More field experiments are being coordinated via close integration with process-oriented and data assimilative modeling to help not only develop the sampling plans but also improve the parameterizations and skills in prediction models (e.g., Cronin et al. 2009; Cravatte et al. 2016; Kessler et al. 2019; Sprintall et al. 2020; Shroyer et al. 2021; Shinoda et al. 2021; Newman et al. 2022). The climate modeling community is developing and refining high-resolution Earth system model simulations with advanced physical parameterizations. International partnership and coordination are becoming increasingly solid, enabling the design of multimodel, multi-ensemble, high-resolution coupled modeling protocols and diagnostic frameworks. The identified common biases in mesoscale air–sea interaction in such climate models, in turn, guide the sampling strategy of observing systems and process studies. Ensemble data assimilation systems are rapidly advancing, yielding more accurate observationally constrained ocean, atmosphere, and biogeochemical state estimates critical for subseasonal to decadal predictions (e.g., Penny and Hamill 2017; Verdy and Mazloff 2017). Overall, the successful coordination across observations, modeling, and theories has been critical, and these coordinated efforts will and should continue to enhance Earth system prediction skills across scales from weather forecasts to climate projection scales.
Acknowledgments.
The authors of the paper are the scientists participating in the U.S. CLIVAR Working Group on Mesoscale and Frontal-Scale Ocean–Atmosphere Interactions and Influence on Large-Scale Climate (https://usclivar.org/working-groups/air-sea-interactions-working-group). The authors thank Mike Patterson, Jennie Zhu, and Sam Coakley at U.S. CLIVAR for sponsoring and supporting the Working Group activities. The authors thank Dr. Kuwano-Yoshida and two anonymous reviewers for their constructive comments. We also thank Natalie Renier at the WHOI Creative Studio for her assistance with scientific illustrations. The authors acknowledge many national and international funding agencies that have supported the in situ and satellite observations, modeling, and analysis efforts that are the subject of this paper. In this work, HS acknowledges support from the NSF (OCE-2022846, OCE-2148120), NOAA (NA19OAR4310376, NA22OAR4310598), NASA (80NSSC21K1524), ONR (N00014-17-1-2398), DOE (DE-EE0009424), and WHOI (Francis E. Fowler IV Center for Ocean and Climate). MAB acknowledges support from NASA via the JPL (1419699), NOAA/GOMO (100007298), and Northern Gulf of Mexico Institute (21-NGI4-04). AC is supported by NSF-NERC grants (NE/V014897/1 and NE/W004836/1). KD was supported by NASA (80NSSC18K1330). JBE thanks support from NASA NSF (OCE-1829957). BFK acknowledges support from ONR (N00014-17-1-2963), the Schmidt Futures Foundation, NSF (2148945), and NOAA (NA19OAR4310366). STG is grateful for support from NASA (80NSSC19K0059, 80NSSC21K1822, and 80NSSC20K1136). SM is supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI Grant 19H05704. AGP acknowledges support from U.S. DOE BER EESM RGMA Award DE-SC0022070 and NSF IA 1947282, and NCAR, which is sponsored by NSF under CA 1852977. LR appreciates support from the CNES (Projects CARAMBA and I_CASCADE), the ANR JPI-CLIMATE EUREC4A-OA, the NOAA project ATOMIC, the GENCI resources project 7298 and 13051, the HPC-Europa3 program application HPC17IUTPN and HPC17MM0RX, and the Horizon 2020 project PRIMAVERA (GA 641727). MJR acknowledges support from EU PRIMAVERA and the Met Office Hadley Centre Climate Programme funded by BEIS and Defra (GA01101). NS was supported by NASA (80NSSC19K0058) and JAMSTEC IPRC Collaborative Research (JICoRe). RJS acknowledges support from NOAA (NA22OAR4310615). AS acknowledges support from EUMETSAT (OSI SAF). QW acknowledges the funding support from ONR CASPER under Multidisciplinary University Research Initiative (MURI) program (N00014-21-1-2126 and N0001420WX01066).
Data availability statement.
Datasets used in the figures are based on ERA5 (Hersbach et al. 2020), NOAA OI SST (Reynolds et al. 2007), climate model simulations from the HighResMIP (Haarsma et al. 2016), or already published papers as cited in the figure captions.
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