A two-way street across three oceans: observed Madden Julian Oscillation – oceanic Kelvin wave coupling in boreal winter
Abstract. Air–sea coupling associated with the Madden–Julian Oscillation (MJO) plays a central role in subseasonal variability and prediction, yet its two-way interaction with oceanic Kelvin waves (KWs) across the tropical basins remains insufficiently constrained. Here we assess both the impact of KWs on MJO evolution through sea surface temperature (SST) changes, and the characteristics of MJO events that lead to KW generation and propagation in the Indian, Pacific and Atlantic oceans during boreal winter. In a novel way, we combine MJO index with independent KW indices for each basin, identifying regimes of enhanced and suppressed KW activity and quantify the MJO-associated forcing and the strength of air–sea feedbacks.
The capacity of the MJO to force KWs varies markedly across basins, ranging from a minimum of 38 % of MJO events generating KWs in the Pacific, to 16.8 % in the Indian Ocean and to 9.4 % in the Atlantic. In all three basins, KW generation is favored when MJO events display strong, coherent equatorial low-level zonal wind anomalies and organized eastward-propagating convection, which force a continuous sea surface height (SSH) signal with a clear KW structure. In the Pacific, the resulting thermocline displacements propagate coherently across the basin and reach the surface in the far east, where they drive SST changes primarily through vertical advection and meridional geostrophic advection. In the Indian ocean, wind anomalies over the central basin force an SSH signal that intensifies toward the east and evolves into a coherent equatorially trapped structure, a process that appears to be modulated by a preceding oceanic Rossby wave. In the Atlantic, KW generation requires coherent westerly wind stress anomalies along the equator near the South American coast and is further favored by an atmospheric KW originating over the Indo-Pacific that promotes convection in the western basin. Conversely, events that fail to generate KWs share a common signature across basins: weaker or off-equatorial wind forcing and SSH anomalies that lose coherence before reaching the eastern side of each basin. In the Atlantic, this decoupled regime leaves convective anomalies concentrated over the eastern basin and the Guinea Dome, largely detached from the equatorial ocean response.
From the oceanic perspective, a substantial fraction of KWs in each basin is associated with the MJO, and their presence systematically strengthens ocean–atmosphere coupling. Under enhanced KW activity, ocean dynamics govern SST tendencies in both the Pacific and the Atlantic. In the Pacific, subsurface adjustments sustain SST anomalies and support the eastward advance of the MJO even where atmospheric forcing weakens. In the Indian Ocean, by contrast, surface heat fluxes dominate SST variability. In periods of suppressed KW activity, surface fluxes dominate SST variability across all three basins, except in the eastern Pacific, where local processes such as surface current convergence dominate instead. These results establish the MJO–KW relationship as a genuinely two-way interaction, with implications for subseasonal prediction in all three tropical basins. It is necessary to study the interaction with the MJO in each basin separately or in greater detail, given the unique characteristics of each basin and its modes of variability.
This paper investigates the two-way coupling between the Madden-Julian Oscillation (MJO) and oceanic Kelvin waves (KWs) across the Pacific, Indian, and Atlantic Oceans during boreal winter (December–February). Using reanalysis data (ERA5 and CMEMS GLORYS12V1) from 1994–2021, the authors combine a multivariate MJO index with independently constructed sea surface height (SSH)-based KW indices for each basin. They conclude that the MJO–KW interaction functions as a genuinely bidirectional coupling.
Unfortunately, the authors fail to make their case convincingly. The analysis is very poorly executed and the results rely heavily on a complicated statistical analysis that is not supported by any kind of quantitative diagnosis of physical processes. The explanations of the mixed layer heat balance and Kelvin wave dynamics that are central to the thesis are, for example, very qualitative and hand-wavy.
The introduction poses three questions that with little context about what previous research tells us (lines 100-103). We know the answers to the first two questions: 1) “do all MJO events give rise to equatorial KWs?” and 2) “are all equatorial KWs associated with MJO propagation?” The answers are “No” and “No”. The surface zonal wind signature associated with the MJO is what forces KW activity. The wind properties that matter most for the KW response are magnitude, duration, and zonal fetch of the zonal wind stress (McPhaden et al, 1988; Hendon et al., 1998; Puy et al, 2015) and sometimes the combination of these requirements is too weak. Regarding the second question, processes other than the MJO can produce intraseasonal wind variations along the equator such as tropical storms (Lian et al, 2018 ) and random weather events (Harrison and Vecchi, 1997). However, none of this basic background is covered.
Also, it’s not clear what motivates the hypothesis that MJO–KW interaction functions as a bidirectional coupling (the third question). The MJO affects the ocean in many ways, one of which is to generate Kelvin waves. The ocean couples to the atmosphere to affect the organization of MJO convection and dynamics. These linkages are strongly modulated by background oceanic and atmospheric conditions (Zhang, 2005). However, that the ocean and atmosphere interact on MJO time scales does not automatically mean the MJO is coupled to the Kelvin waves it generates. In fact, it’s easy to argue that they should not be simply coupled. The MJO propagates eastward at speeds are 4-8 m/s in the atmosphere while first and second baroclinic mode Kelvin waves in the ocean travel eastward at 1-3 m/s. This mismatch mitigates against any simple local coupling of the MJO and KWs on intraseasonal time scales.
Furthermore, considering the Pacific as an example, background oceanic and atmospheric conditions do not obviously lend themselves to such interaction. We expect ocean-atmosphere interactions involving the MJO over the western Pacific warm pool where the mean ocean temperatures are high (Zhang and McPhaden, 2000). But there, the Kelvin wave response to MJO wind forcing can’t be separated from the directly forced local response. In the eastern Pacific cold tongue region where KW-induced intraseasonal SST variations are large, the cold mean SSTs stabilize the atmospheric boundary layer so that MJO convection is suppressed and MJO winds in the free atmosphere are isolated from interacting with the surface ocean.
The authors use satellite sea level for tracing Kelvin wave propagation since the data are global with high spatial resolution and temporal resolutions sufficient to resolve the intraseasonal time scale variability. This makes sense, but the authors fail to appreciate that sea level is a filter on high baroclinic modes, which affects detection of KW signals. It is well known that sea level emphasizes the lowest barlocline modes most (see for example, Cane 1984), particularly mode 1 that is dominant in the KW response to MJO forcing in the Pacific Ocean (Kutsuwada and McPhaden, 2002). However, mode 2 takes on greater prominence in the Atlantic and Indian Oceans because of the structure of the mean thermocline (e.g., Nagura and McPhaden, 2012). This is one of the reasons that the KW signals appear to be weaker in the Indian and Atlantic Oceans relative to the Pacific when relying on SSH. However, using ocean velocity, wind-forced KW signals in the Indian Ocean are not “weak” as the authors state, but frequently observed and very prominent (e.g., Pujiana and McPhaden, 2020). This raises the question of how much are the basin to basin differences in KW activity are due to differences in MJO forcing (related to the amplitude, duration and fetch the associated with surface zonal winds) and how much is due to the ocean mean state, a subject the authors do not address.
In summary, the paper is also overly ambitious in attempting to cover all three ocean basins without sufficient consideration for all the differences between them. In part because of that, the authors miss many key references and discover some things that have been known for decades, like what features in the wind field are important for forcing KWs, what processes control SST on intraseasonal time scales, and how Kelvin wave phase speed changes with thermocline depth. In addition, the hypothesis of MJO–KW interaction functioning through bidirectional ocean-atmosphere coupling is ill-posed. My recommendation is for major revision, requiring better motivation of the key hypotheses, less reliance on purely statical analysis, and more quantitative diagnostic assessment of key physical processes.
Below are a set of specific comments keyed to lines of text in the paper.
Line 41. Foltz and McPhaden (2004) are an earlier reference to the MJO in the tropical Atlantic.
Lines 53-55. Cite Iskandar and McPhaden (2011) here; also, Pujiana and McPhaden (2020) showed the impact of the MJO on ocean currents.
Line 59. Reference McPhaden (1999) and Kessler and Kleeman (2000).
Lines 86-88. On the other hand, several studies have found that intraseasonal KWs are very prominent in the Indian Ocean (Fu et al., 2007; Iskandar and McPhaden, 2011; Pujiana and McPhaden, 2020).
Line 135. "Methodology"
Line 255. See Iskandar and McPhaden (2011).
Line 295. This is partly because of the greater prominence of vertical mode 2 in the Indian and Atlantic Oceans.
Lines 345-349. The heat balance on has been computed on intraseasonal time scales across the Pacific basin (McPhaden, 2000; Lucas et al, 2010). There is no need to rely on "proxies" of processes in this study when you can use GLORYS to explicitly compute the terms in the heat budget.
Lines 360-361. We know this already (see above). Also, as shown in McPhaden (2002), the heat balance on intraseasonal time scales along the Pacific equator leads to some non-intuitive SST patterns, which will affect how the ocean feeds back to the atmosphere.
Line 501. We know this from previous research (Shinoda et al, 1998; 2013).
Line 637. What happened to Kelvin waves, which is the central theme of this paper?
Line 640. Intraseasonal SST variability in SST is largest in the eastern equatorial Pacific due to intraseasonal KW waves (McPhaden, 2002). So "weakness" depends on what variable you are considering. More generally, I'm not convinced by the conclusion that KW activity is weak in the eastern Pacific.
Lines 665-667. Known already. See (McPhaden, 2000; Lucas et al, 2010).
Lines 690-694. This topic was discussed decades ago in Kutsuwada and McPhaden (2002) and Giese and Harrison (1990).
References
Cane, M. A., 1984: Modeling Sea Level During El Niño. J. Phys. Oceanogr., 14, 1864–1874, https://doi.org/10.1175/1520-0485(1984)014<1864:MSLDEN>2.0.CO;2.
Foltz, G.R. and M.J. McPhaden, 2004: 30-70 day oscillations in the tropical Atlantic. Geophys. Res. Lett., 31,L15205, doi:10.1029/2004GL020023.
Fu, L., 2007: Intraseasonal Variability of the Equatorial Indian Ocean Observed from Sea Surface Height, Wind, and Temperature Data. J. Phys. Oceanogr., 37, 188–202, https://doi.org/10.1175/JPO3006.1.
Giese, B. S., and D. E. Harrison (1990), Aspects of the Kelvin wave response to episodic wind forcing, J. Geophys. Res., 95(C5), 7289–7312, doi:10.1029/JC095iC05p07289.
Harrison, D. E., and G. A. Vecchi, 1997: Westerly Wind Events in the Tropical Pacific, 1986–95. J. Climate, 10, 3131–3156, https://doi.org/10.1175/1520-0442(1997)010<3131:WWEITT>2.0.CO;2.
Hendon, H. H., B. Liebmann, and J. D. Glick, 1998: Intraseasonal Kelvin waves and the Madden–Julian oscillation. J. Atmos. Sci.,55, 88–101.
Iskandar, I., and M. J. McPhaden, 2011: Dynamics of wind-forced intraseasonal zonal current variations in the equatorial Indian Ocean, J. Geophys. Res., 116, C06019, doi:10.1029/2010JC006864.
Kessler, W. S. & Kleeman, R. Rectification of the Madden–Julian Oscillation into the ENSO Cycle. J. Clim. 13, 3560–3575 (2000).
Kutsuwada, K. and M.J. McPhaden, 2002: Intraseasonal variations in the upper equatorial Pacific Ocean prior to and during the 1997–98 El Ni.o. J. Phys. Oceanogr., 32, 1133–1149.
Lian, T., Chen, D., Tang, Y., Liu, X., Feng, J., & Zhou, L. (2018). Linkage between westerly wind bursts and tropical cyclones. Geophysical Research Letters, 45, 11,431–11,438. https://doi.org/10.1029/2018GL079745
Lucas, L. E., D. E. Waliser, and R. Murtugudde (2010), Mechanisms governing sea surface temperature anomalies in the eastern tropical Pacific Ocean associated with the boreal winter Madden-Julian Oscillation, J. Geophys. Res., 115, C05012, doi:10.1029/2009JC005450.
McPhaden, M.J., 1999: Genesis and evolution of the 1997–98 El Niño. Science, 283, 950–954.
McPhaden, M.J., 2002: Mixed layer temperature balance on intraseasonal time scales in the equatorial Pacific Ocean. J. Climate, 15(18), 2632–2647.
Nagura, M., and M. J. McPhaden, 2012: The dynamics of wind-driven intraseasonal variability in the equatorial Indian Ocean, J. Geophys. Res., 115, C07009, doi:10.1029/2011JC007405.
Pujiana, K. and M.J. McPhaden, 2021: Intraseasonal Kelvin waves in the equatorial Indian Ocean and their propagation into the Indonesian Seas. J. Geophys. Res., 25. https://doi.org/10.1029/2019JC015839.
Puy, M., Vialard, J., Lengaigne, M., & Guilyardi, E. (2015). Modulation of equatorial Pacific westerly/easterly wind events by the Madden Julian oscillation and convectively coupled Rossby waves. Climate Dynamics, 46, 2155–2178.
Shinoda, T., H. H. Hendon, and J. Glick, 1998: Intraseasonal Variability of Surface Fluxes and Sea Surface Temperature in the Tropical Western Pacific and Indian Oceans. J. Climate, 11, 1685–1702, https://doi.org/10.1175/1520-0442(1998)011<1685:IVOSFA>2.0.CO;2.
Shinoda, T., T. G. Jenson, M. Flatau, S. Chen, W. Han, and C. Wang (2013), Large-scale oceanic variability associated with the Madden-Julian oscillation during the CINDY/DYNAMO field campaign from satellite observations, Remote Sens., 5, 2072–2092.
Zhang, C. (2005), Madden-Julian Oscillation, Rev. Geophys., 43, RG2003, doi:10.1029/2004RG000158.
Zhang C. and M.J. McPhaden, 2000: Intraseasonal surface cooling in the equatorial western Pacific. J. Climate, 13, 2261–2276.