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JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 113, C08020, doi:10.1029/2007JC004332, 2008
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Cross-equatorial structure and temporal modulation of intraseasonal
variability at the surface of the Tropical Atlantic Ocean
Gabriela Athie1 and Frédéric Marin1
Received 10 May 2007; revised 4 April 2008; accepted 14 April 2008; published 12 August 2008.
[1] Intraseasonal variability (10–50 days) in the equatorial Atlantic Ocean is analyzed
from multiyear (1999–2005) satellite gridded products of sea-level anomalies (SLA) and
sea-surface temperature (SST). Two regions with distinct intraseasonal variability have
been identified. The first one, west of 10°W, is dominated by westward-propagating
anomalies, with maximum values in SLA along 5°N and in SST along 2°N: They occur in
boreal summer with periods of 25–50 days and are known to correspond to tropical
instability waves (TIWs). We show that TIWs have also a signature, though weaker, south of
the equator, especially along 5°S, in SLA. Northern and southern anomalies propagate
together westward, being mostly out of phase, suggesting that equatorial wave dynamics is
involved in TIWs variability. An SST signature of TIWs is also observed near 2°S, in
quadrature with SST anomalies detected in the Northern Hemisphere. The interannual
modulations of the TIW signature in SLA and SST are compared and discussed. The second
dominant intraseasonal signal is only seen east of 10°W in SST and corresponds to an
equatorially trapped variability, confined to the Gulf of Guinea with periods between 10
and 20 days. This signal is present in boreal summer when an intense SST front is
observed just north of the equator. Intraseasonal variability with comparable periods is also
observed in the meridional wind stress throughout the year. Comparison of SST and
meridional wind stress anomalies suggests that the 10- to 20-day variability in SST is forced
by the wind stress but seasonally modulated by the presence of the SST front.
Citation: Athie, G., and F. Marin (2008), Cross-equatorial structure and temporal modulation of intraseasonal variability at the
surface of the Tropical Atlantic Ocean, J. Geophys. Res., 113, C08020, doi:10.1029/2007JC004332.
1. Introduction
[2] Equatorial oceans are the location of strong zonal
currents and act as waveguides that quickly respond to
temporal variability in the forcing. Two different sources of
intraseasonal variability (defined in the present paper as
periods between 10 and 50 days) are present in the equatorial Atlantic Ocean. The first one results from tropical
instabilities and is mainly observed at periods between 15
and 50 days [Qiao and Weisberg, 1995; Jochum et al.,
2004]. The second one is directly forced by intraseasonal
variability in the winds and is maximum at periods close to
15 days [e.g., Houghton and Colin, 1987; Garzoli, 1987].
[3] Tropical instability waves (TIWs) have their strongest
signature at the surface in the Northern Hemisphere. They
are observed along 5°N in sea-level anomalies as intense
mesoscale structures (Figure 1a), associated with undulations of the seasonal sea-surface temperature (SST) front
(Figure 1b) that delimits the cold tongue in boreal summer
[Chelton et al., 2001; Hashizume et al., 2001; Caltabiano et
al., 2005; Foltz et al., 2004]. TIWs are described from
observations as propagating westward with phase velocities
1
LEGOS-UMR, CNRS/CNES/IRD/UPS, Centre IRD de Bretagne,
Plouzané, France.
Copyright 2008 by the American Geophysical Union.
0148-0227/08/2007JC004332$09.00
between 30 and 60 cm/s, periods ranging from 15 to 50 days
and wavelengths close to 1000 km [Steger and Carton,
1991; Qiao and Weisberg, 1995; Caltabiano et al., 2005].
Subsurface observations of currents [Düing et al., 1975;
Brandt et al., 2006; Bunge et al., 2006] and temperature
[Wainer et al., 2003] reveal that TIWs are not confined to the
near-surface layers, but are still present within and beneath
the thermocline. In situ observations [Weisberg and
Weingartner, 1988; Grodsky et al., 2005] and numerical
models [Jochum et al., 2004; Jochum and Murtugudde, 2006;
Peter et al., 2006] indicate that TIWs are a major source of
heat for the equatorial mixed layer and lead to important heat
and/or momentum transfers between the mixed layer and the
underlying ocean. The SST signature of TIWs is finally
found to be associated with westward-propagating atmospheric structures of the same temporal and spatial scale
[e.g., Hashizume et al., 2001], that may interact with the
Intertropical Convergence Zone at interannual timescales
[Caltabiano et al., 2005].
[4] TIWs are common to both Atlantic and Pacific oceans
[Chelton et al., 2000] where they are forced by complex
mechanisms involving oceanic instabilities. They can first be
generated by barotropic instability of the meridional shear of
seasonally varying zonal currents [Philander, 1976, 1978],
either at the surface (between the South Equatorial Current,
SEC and the North Equatorial Countercurrent, NECC) or
within the thermocline (between the SEC and the Equatorial
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Figure 1. Surface distribution of (top) AVISO sea-level anomalies (in centimeters) and (bottom) TMI
sea-surface temperature (in degrees centigrade) in the equatorial Atlantic in 24 July 2002. Interval
between contours is 1 cm for SLA and 0.5°C for SST. Negative values in SLA are in dashed line.
Undercurrent, EUC) [Qiao and Weisberg, 1998]. They can
also originate from baroclinic instability of the equatorial
upwelling front or of the meridionally shoaling thermocline [Yu et al., 1995]. In the Atlantic Ocean, observations
[Grodsky et al., 2005] and numerical studies [Jochum et
al., 2004] suggest that barotropic and baroclinic instabilities both contribute to the formation of TIWs.
[5] There is no consensus about the exact nature of TIWs
in the equatorial Atlantic. They can be first seen as threedimensional vortices advected westward along 5°N by equatorial surface currents [Menkès et al., 2002; Foltz et al.,
2004]. They can also be explained in terms of equatorial
waves, either as Rossby waves with periods greater than
30 days along 5°N [Jochum and Malanotte-Rizzoli, 2003] or
as mixed Rossby-gravity waves closer to the equator, where
they are observed below the surface from current meters with
periods extending from 15 to 40 days [Düing et al., 1975;
Weisberg et al., 1979].
[6] Undulations of the SST front are not restricted to the
Northern Hemisphere, but are also observed south of the
equator in the center of the basin in July 2002 (Figure 1b).
Such features were previously evidenced from satellite SST
observations [Steger and Carton, 1991; Chelton et al.,
2000; Bunge et al., 2006], and referred to as TIWs.
However, the precise characteristics of this southern intraseasonal variability still need to be documented in the
Atlantic. Steger and Carton [1991] and Bunge et al.
[2007] could not find any clear relation between the
northern and southern TIW signatures in SST, suggesting
that TIWs north and south of the equator do not have the
same dynamical origin. In contrast, in the Pacific Ocean,
Lyman et al. [2005, 2007] relate together the northern and
southern signatures of TIWs as the interhemispheric manifestation of equatorial waves. The weaker amplitudes south
of the equator result in that case from the deformation of
theoretical equatorial waves due to the latitudinal structure
of background zonal currents (especially the presence of the
NECC north of the equator).
[7] SST observations show a significant interannual variability in TIW activity [Steger and Carton, 1991; Contreras,
2002; Caltabiano et al., 2005]. Wu and Bowman [2007]
relate the year-to-year modulation in the amplitude of the
TIWs SST variance to the intensity of the equatorial cold
tongue. Moreover, Caltabiano et al. [2005] suggest that
TIWs have larger wavelengths and faster phase speeds
during years of stronger equatorial upwelling, while the
period and position of TIWs maximum depend essentially
on the timing of the seasonal equatorial cold tongue. However, it is difficult to conclude from SST observations alone
about the interannual variability of the TIWs themselves,
since the temporal variability of the TIWs signature in SST
reflects changes in dynamics as well as in the background
temperature gradient that is required for TIWs to have a
signature in SST.
[8] The 10- to 20-day variability at the surface of the
Tropical Atlantic Ocean has been less studied than TIWs,
though this signal is an important contributor to the
cooling of the mixed layer during the seasonal upwelling
in the Gulf of Guinea [Houghton and Colin, 1987]. This
signal has been observed at the surface and subsurface
from temperature and velocity data records [Garzoli, 1987;
Bunge et al., 2006], but also in the atmosphere from wind
stress data records [Houghton and Colin, 1987; Mounier et
al., 2008]. At intraseasonal scales, the most energetic peak
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Figure 2. Horizontal distribution of standard deviation of 10- to 50-day filtered anomalies in (a) SLA
(in centimeters) and in (b) SST (in degrees centigrade, lower) over the period 1999– 2005.
in the meridional wind is centered at 14 days in the
tropical Atlantic and is significantly correlated with meridional velocity, suggesting a dominant forcing by the
wind [Garzoli, 1987]. Comparing current velocity, wind
stress and in situ temperature data within the 10- to 20-day
frequency band, Houghton and Colin [1987] found that
this variability was present all along the year in the
meridional wind stress and current velocity. This variability was related to a mixed Rossby-gravity wave, on the
basis of the observation that the thermocline vertical
displacement was antisymmetric with respect to the equator [Houghton and Colin, 1987].
[9] The goal of this paper is to analyze the spatial
structure and temporal modulation of the intraseasonal
Figure 3. Time-Longitude plot of intraseasonal anomalies (<50 days) in 2002. SLA anomalies along
(a) 5°N and along (b) 5°S and SST anomalies along (c) 2°N, (d) the equator, and (e) 2°S.
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Figure 4. Time-Longitude plot of SLA intraseasonal anomalies (<50 days) from 1 May to 30 September
for every year (from 1999 to 2005), along (top) 5°N and (bottom) 5°S.
variability at periods between 10 and 50 days in the
equatorial Atlantic Ocean from multiyear satellite observations of SLA and SST. The data and methods of analysis are
presented in section 2. Section 3 describes the dominant
patterns of intraseasonal variability. The mean properties of
TIWs, their interannual variability and seasonal evolution
are discussed in section 4. Section 5 focuses on the 10- to
20-day variability. Finally results are discussed and summarized in section 6.
2. Data
2.1. SLA and SST data
[10] In this study the surface signature of intraseasonal
variability is analyzed from satellite observations of SST
and SLA for the period 1999– 2005.
[11] We use the SLA gridded product distributed by
AVISO, with a 7-day temporal resolution and 1/3° spatial
resolution. This data set was generated using objective
analysis to combine information from several satellites
by Ssalto/Duacs (Segment Sol multimissions d’ALTimétrie, d’Orbitographie et de localisation precise/Developing
Use of Altimetry for Climate Studies) (http://www.jason.
oceanobs.com).
[12] For SST data we use a gridded product, distributed by
Remote Sensing Systems (http://www.remss.com), of the
Tropical Rainfall Measuring Mission Microwave Imager
(TMI) sensor. TMI is a nine-channel passive microwave
radiometer with operating frequencies ranging from 10.65 to
85.5 GHz [Kummerow et al., 1998]. The lowest-frequency
channel of this radiometer yields SST images even in the
presence of non-rain clouds, in contrast to infrared radiometers that require cloud-free conditions. However, it is
sensitive to rain conditions. TMI data are available every
day as 3-day running averages with a spatial resolution of
0.25 degrees in latitude and longitude. Data have been
linearly interpolated in time to fill gaps due to rain.
[13] Chelton et al. [2001] validated TMI data at the
temporal and spatial scales of the TIWs over the Pacific
through the comparison with in situ data from the Tropical
Atmospheric – Ocean Project (TAO) during 1999. The
authors found that possible systematic errors in TMI data
did not alter significantly observations of TIWs. Since
intraseasonal variability has similar scales in the Atlantic
and in the Pacific, we assume that their results still hold in
the Atlantic.
2.2. Complementary Data
[14] The properties derived from SST and SLA satellite
observations were compared to other satellite-derived products for the whole period 2000 – 2005 to study the possible
mechanisms of temporal modulation of the intraseasonal
variability.
[15] Surface wind stress was studied using the daily
QuikSCAT gridded product distributed by CERSAT. Its
horizontal resolution is 0.5 degrees and this product is
available from January 2000 (http://www.ifremer.fr/cersat/
en/data/overview/gridded/mwfqscat.htm).
[16] Oceanic surface currents were analyzed using the
gridded product of surface velocities computed from the
Ocean Surface Current Analyses Real-Time (OSCAR)
model [Bonjean and Lagerloef, 2002]. This model provides
diagnostic ocean surface velocity fields from the combination of SLA data, SSM/I + QUIKSCAT winds and Reynolds
SST with a temporal resolution of 5 days and a spatial
resolution of 1 degree. It is based on the quasi-steady and
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Figure 5. Longitudinal distribution of the variance spectra of SLA along (top) 5°N, (middle) 2°S, and
(bottom) 5°S with respect to frequency (in logarithmic scale). Contour interval is 0.1 log(cm2). Dashed
lines refer to the 10°W longitude (vertical line) and to the 20-day period (horizontal line). The 90%
confidence interval is 0.65 log(cm2) for 30 –50 days, 0.5 log(cm2) for 18 –30 days, and 0.45 log(cm2) for
14– 18 days. Variances are normalized by the zonally averaged variance for the corresponding 10- to
50-day anomalies, namely, 3.1 cm2 at 5°N, 1.6 cm2 at 2°S, and 1.3 cm2 at 5°N.
quasi-linear equations of the flow and on the optimization of
a horizontal momentum balance near the equator. The
resulting velocities were validated with observational data
from buoy drifters and current meters in the Pacific Ocean.
The velocity error was estimated to be 8 cm/s for zonal
mean flow and 3 cm/s for meridional mean flow [Bonjean
and Lagerloef, 2002].
2.3. Methodology
[17] A Lanczos filter [Emery and Thomson, 2004] was
applied in time to SST and SLA data to compute both
intraseasonal anomalies (between 10 and 50 days) and lowfrequency variability (periods greater than 50 days). The
Lanczos filter was applied over 183 days for both data sets,
which corresponds to 183 time points in SST and 27 time
points in SLA. Unlike Caltabiano et al. [2005] who only
looked at westward-propagating anomalies, we performed
here no filtering in longitude to keep the full (propagating
and nonpropagating) 10- to 50-day variability.
[18] The energy spectra of SST and SLA time series were
estimated using the fast Fourier transform (FFT) to identify
the dominant periods of intraseasonal variability. Energy in
specific frequency bands was averaged to increase the
degrees of freedom, which are between 10 and 20 for the
frequencies corresponding to the intraseasonal timescales
(10 – 50 days).
[19] In section 3.2 we perform an Hilbert Complex
Empirical Orthogonal Function Analysis (CEOF) as defined
in details in Barnett [1983]. This method separates the
variability of the signal in orthogonal modes which are
composed of a spatial part (empirical function) and a
temporal one (principal component). Unlike EOF, the
CEOF takes into account the propagation of the signal
and thus allows us to estimate the amplitude and phase of
the spatial and temporal complex parts.
3. General Characteristics of the Intraseasonal
Signal
3.1. Spatial Distribution of Maximum Variability
[20] Standard deviation maps of SLA and SST intraseasonal anomalies (10 –50 days) are presented in Figure 2 to
stress regions of maximum variability. The largest standard
deviation of SLA anomalies (2.1 cm, within the confidence
interval 1.7– 2.7 cm) are located along 5°N in the middle of
the basin, between 30°W and 10°W (Figure 2a) and correspond to TIWs. Moreover standard deviation around 1.5 cm
(confidence interval of 1.3 – 1.8 cm) is observed in the
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Figure 6. Same as Figure 5 for SST along (top) 2°N, (middle) equator, and (bottom) 2°S with respect to
frequency (in logarithmic scale). Contour interval is 0.1 log(°C2). The 90% confidence interval is 0.65
log(°C2) for 30– 60 days, 0.5 log(°C2) for 15– 30 days, and 0.45 log(°C2) for 10– 15 days. Variances are
normalized by the zonally averaged variance for the corresponding 10- to 50-day anomalies, namely,
0.2°C2 at 5°N and 0°N and 0.1°C2 at 5°N.
southern hemisphere along 2°S (between 35°W and 10°W)
and near 5°S (between 35°W and 18°W). Note that the
lowest standard deviations of SLA between 10°N and 10°S
are found to be 0.9 (confidence interval of 0.8 –1.1 cm) in a
large region east of 10°W, indicating that the southern
maximum is significant with respect to the background
variability in the Tropical Atlantic Ocean. High variability
can also be observed along the African coast, but it is not
clear whether this signal is related to coastally trapped
waves [Picaut, 1983] or an artifact of near coastal altimeter
measurements.
[21] SST standard deviation shows a different geographical pattern (Figure 2b). The highest standard deviation
(0.6°C) is located along a line that goes from 1°S, 5°E
to 2°N, 20°W. This line matches the northern front of the
seasonal cold tongue (that takes place every summer in the
eastern part of the equatorial Atlantic Ocean). The properties of the SST intraseasonal variability west of 10°W have
already been found to be associated with TIWs [Caltabiano
et al., 2005], but the origin of SST intraseasonal anomalies
in the Gulf of Guinea still needs to be clarified.
3.2. Propagation Properties
[ 22 ] Longitude-Time diagrams of SLA and SST
anomalies in 2002 illustrate the main characteristics of
intraseasonal variability along the latitudes of highest
variability (Figure 3). A succession of negative/positive
intraseasonal SLA anomalies are observed from May to
September along 5°N west of 10°W (Figure 3a). These
anomalies propagate westward and their amplitude can reach
9 cm. Their wavelength is close to 1000 km and their phase
speed was estimated using Radon transform [Challenor et al.,
2001] to be 42 cm/s, in agreement with previous observations
[Weisberg and Weingartner, 1988].
[23] South of the equator (5°S) anomalies of weaker
amplitude can also be identified in SLA west of 10°W
during the same period of the year (Figure 3b). Their
amplitude does not exceed 6 cm, with wavelengths
(1000 km) comparable to the ones observed along 5°N
and slightly slower zonal propagation velocities (31 cm/s).
[24] The longitudinal and temporal distribution of SST
anomalies is far more complex (Figures 3c – 3e). West of
10°W westward-propagating anomalies are dominant. Their
amplitude is maximum along 2°N (>1.5°C) propagating at
40 cm/s during boreal summer, at the same season as SLA
along 5°N. They can also be seen along the equator and 2°S
with a phase propagation speed of 39 cm/s. This signal has
comparable wavelength and zonal phase speed to SLA
anomalies and is the SST signature of the TIWs [Chelton
et al., 2000; Caltabiano et al., 2005].
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Figure 7. First CEOF mode of 25- to 50-day filtered SLA and SST for the whole period of 1999 – 2005:
real part of the spatial modes in (a) SLA and (b) SST and the temporal modulation amplitude (c, SLA:
solid line; SST: dashed line). Contour intervals are 0.5 cm for SLA and 0.1°C for SST (negative values
are in dashed line). The local explained variance (in %) is superimposed (see color map). Data before
1 May and after 30 September of year of each year have been set to zero in the computation.
[25] East of 10°W, SST anomalies with comparable
magnitude are observed in boreal summer. However,
unlike the TIWs, they are intensified along the equator
(Figure 3d), though still detectable at 2°S, and do not
show any clear zonal propagation. They have no signature
in SLA (not shown).
[26] Longitude-Time diagrams during the TIWs season
and for the whole period 1999– 2005 are shown in Figure 4
for the SLA at 5°N and 5°S. Both, northern and southern
anomalies are present every year, in the same season,
though always weaker in the southern hemisphere. Mean
phase velocities have been estimated to be 40 ± 3 cm/s in
the Northern Hemisphere and 28 ± 5 cm/s in the southern
hemisphere, indicating that southern anomalies propagate
slightly more slowly than their northern counterparts. Intense interannual variability can be observed, with the
strongest amplitudes (>8 cm) in 2002 and 2003 and the
weakest (<4 cm) in 2004. This differs from the interannual
variability of TIW activity deduced from SST alone [Wu and
Bowman, 2007], where for the same years strongest TIW
activity was found in 2001 and 2004 (their Figure 3b).
3.3. Dominant Periods of Intraseasonal Variability
[27] The longitudinal structure of dominant periods of
SLA/SST intraseasonal variability can be inferred from
the longitude-frequency diagrams of variance spectra
(Figures 5 and 6).
[28] The dominant variances in SLA are found in the
range 25– 60 days along the three latitudes of highest
variability (5°N, 2°S, 5°S) (Figure 5). The strongest
variances are located at 5°N (Figure 5a). Between 30°W
and 10°W, maximum variances are found in a broad range
of periods extending from 25 to 50 days, exceeding 15 cm2
for periods near 32 days between 25°W and 15°W and
40 days between 20°W and 35°W. This range of periods
corresponds to TIWs as described for instance by Weisberg
and Weingartner [1988]. In contrast, west of 30°W, the
variability is confined to periods between 40 and 60 days
and no more variability is observed at periods near 30 days.
This corresponds to meanders of the NECC [Garzoli,
1992], that originate from the barotropic instability of
the NECC in the western part of the basin [Jochum and
Malanotte-Rizzoli, 2003]. In the south (2°S and 5°S),
variances are maximum west of 10°W and present a
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Figure 8. First CEOF mode of 25- to 50-day filtered SLA and SST for the whole period of 1999 – 2005:
horizontal distribution of phase in (a) SLA and (b) SST. Mean phase (c) between 4° and 6°N/S and
(d) between the equator and 2°N/S for the SLA and (e) for the SST between the equator and 2°N/S
(northern mean phase: solid line; southern mean phase: dashed line). Temporal phase is calculated from
the principal components of (f) SLA and (g) SST. The negative slope of the temporal phase indicates
westward propagation. The corresponding periods (in days), estimated every year from linear fitting of
the temporal phase, are indicated in the figure (errors on the linear fitting are lower than 2 days for the
SLA and 1 day for the SST). Data before 1 May and after 30 September of each year have been set to
zero in the computation.
similar longitudinal distribution in the range 25– 60 days,
but their amplitude does not exceed 5 cm2. An interesting
feature is that maximum variance at 2°S is found for
periods about 32 days near 20°W, whereas the dominant
variability over 30°W – 15°W is rather centered around
40 days. The two distinct peaks of variability that were
evidenced in the center of the basin along 5°N are thus
retrieved south of the equator, but weaker and at two
different latitudes.
[29] The variance spectrum of SST (Figure 6) reveals a
more complex structure in frequency than observed for
SLA. North of the equator (2°N) the variability is confined
to the region west of 10°W (Figure 6a). The dominant
periods are observed in a broad frequency band between 25
and 50 days, in concordance with SLA, extending from
30°W to 10°W. Two local maximum are observed in this
frequency range: one exceeding the 0.4°C2 is centered
around 32 days and correspond to the SST signature of
TIWs, as discussed by Caltabiano et al. [2005]; the second
one of 0.3°C2 is particularly visible between 20°W and 8°W
centered at 40 days.
[30] The longitude-frequency SST distribution along the
equator shows striking differences with respect to SST at
2°N and to SLA at 5°N. A remarkable new feature at this
latitude is the presence of an intense variability at periods
between 10 and 20 days. This variability is confined to the
Gulf of Guinea and has no signature in SLA or SST north of
the equator, and corresponds to the nonpropagating equatorially trapped signal that was observed in longitude-time
SST diagram (Figure 3). Moreover, anomalies in the TIW
frequency range (25 – 50 days) are also observed along the
equator. However, unlike 2°N where they were observed
only west of 10°W, these anomalies are now maximum east
of 10°W (0.5°C2). Both 10- to 20-day and 25- to 50-day
signals along the equator have comparable magnitudes, of
the same order as the one we have identified before along
2°N.
[31] In the southern hemisphere (at 2°S, Figure 6c),
unlike the signal at 2°N, the dominant signals are located
in the Gulf of Guinea, where the periods corresponds to
those observed at the equator, but with weaker amplitude
(around 0.1°C2). West of 10°W, there is a patch of maxi-
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Figure 9. Same as Figure 7 for the SLA, but the CEOF analysis is performed separately for the
Northern and Southern Hemispheres: (a) spatial mode of the northern CEOF, (b) spatial mode of the
southern CEOF, and (c) temporal modulation of the amplitude (northern CEOF is in solid line and
southern CEOF is in dashed line).
mum variability (lower than 0.1°C2) between 30°W and
15°W and with periods between 25 and 35 days. This signal
has the same periods and longitudinal distribution as the
SLA signal along 2°S.
[32] In the following sections we will address separately
and in more details the respective spatial structure and
interannual variability of the TIWs, and of the equatorially
trapped SST signal in the Guinea Gulf (referred hereafter to
as the 15-day variability). To do so, we have decomposed
SST and SLA 10- to 50-day signal into 25- to 50-day and
10- to 20-day anomalies. Since this study focuses on the
properties of TIWs in the center of the basin, a 25- to 50-day
band-pass filter has been chosen, which better isolates TIWs
east of 30°W but excludes the variability that has longer
periods west of 30°W.
4. Properties of the TIWs
[33] CEOF analysis has been computed separately for
25- to 50-day anomalies in SLA and SST to describe the
dominant spatial pattern and interannual modulation of the
TIWs for the whole period 1999 – 2005 (Figure 7). Since
the TIWs season occurs between May to September
(Figures 3 and 4), data are set to zero before 1 May and
after 30 September of each year in the computation to
better isolate the TIW signature. Similar CEOF decompositions were performed taking into account the yearlong
signal, or combining SLA and SST data (not shown). The
spatial modes are comparable in all cases, but computing
CEOF separately and extracting the TIW season allows us
first to enhance the explained variance and then to
compare the temporal variability of the two signals.
4.1. Mean Cross-Equatorial Structure
[34] Figure 7 presents the real part of the empirical
function for the first CEOF mode of SLA and SST. The
spatial structure of the first mode in SLA (Figure 7a) shows
zonal tracks of successive positive/negative anomalies that
reproduces the main characteristics of the TIWs. It represents 31% of the total variance, but more than 50% of the
explained local variance in the regions of highest variability.
As expected, the strongest amplitudes (7 cm) are found in
the Northern Hemisphere, west of 10°W. They are centered
at 5°N extending from 2°N to 7°N with a typical zonal
wavelength of 1000 km. The second most important amplitudes (2 cm) are located along 5°S, with a wavelength
comparable to the one observed at 5°N, but in a less
organized pattern. The corresponding spatial phase diagrams (Figure 8a) shows that phases vary with latitude.
However a close examination of phases along 5°N and 5°S
(Figure 8c) shows an out-of-phase relationship, suggesting
that anomalies along 5°N and 5°S propagate together as a
single feature. This spatial mode has periods around 35 days
and propagates westward (Figure 8f).
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Figure 10. Real part of the first CEOF mode of 25- to 50-day filtered SLA for every year from 1999 to
2005. Contour interval is 1 cm, and negative values are in gray. The percentages of total variance
explained by each mode are indicated in titles. The periods and corresponding errors estimated every year
from linear fitting of the temporal phase are indicated in each. Data before 1 May and after 30 September
of each year have been set to zero in the computation.
[35] The other latitude of maximum variability (2°S) is
also captured by the first mode of SLA (Figure 7a). At this
latitude, anomalies greater than 1 cm are present from 35°W
to 10°W. The phase diagram (Figures 8a and 8d) shows that
the anomalies between 2°S and 2°N are not out of phase,
but are predominantly in phase. Moreover the phase lines in
Figure 8a are parallel at all latitudes, meaning that 5°N/5°S
and 2°S anomalies propagate at similar speeds, even though
the dynamical relationship between these two signals needs
to be clarified.
[36] An equivalent CEOF decomposition of SLA anomalies has been performed separately north and south of the
equator, representing 50% and 23% of the variability
respectively. The spatial structures on both sides of the
equator (Figures 9a and 9b) are similar to the ones obtained
in Figure 7a. This indicates that the cross-equatorial structure of TIW evidenced in Figure 7 is the dominant variability in boreal summer both north and south of the equator.
Besides, the year-to-year variability of the principal components for the northern and southern CEOF shows a close
correspondence, except in 2001. The amplitudes of the
northern and southern spatial structures are thus mostly
linked together, providing further evidence that they are the
northern and southern signatures of the same variability.
[37] The first CEOF mode in SST represents 27% of the
total variance and more than 50% of the explained local
variance near the equator (Figure 7b). SST anomalies west
of 10°W shows alternate positive/negative signs, with
similar wavelengths and periods than the first mode in
SLA (Figure 8g). The amplitude of the signal north of the
equator is stronger than the signal in the southern hemisphere. Note the elongated shape of the northern anomalies
that has already been evidenced by Caltabiano et al. [2005].
Figures 8b and 8e show that anomalies at 2°N and 2°S are
mainly in quadrature west of 10°W.
[38] Unlike the spatial mode of SLA, significant anomalies also show up in the first CEOF SST mode east of 10°W,
in the Gulf of Guinea. These anomalies, which were already
described by Bunge et al. [2007], are centered at the equator
between 10°W and 0°E. The corresponding phase diagram
(Figure 8b) shows no clear zonal propagation for these
anomalies. This explains why these anomalies were not
identified in Caltabiano et al. [2005] in which a westwardonly filter was applied to SST data. The fact that this
equatorial structure is part of the first CEOF mode suggests
that it is an important pattern of the intraseasonal variability
even if it has no signature in SLA.
[39] The principal components of the first modes in
SLA and SST reproduces some interannual variability
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Figure 11. Same as Figure 8 for the SST. Contour interval is 0.3°C, and solid line indicates the 0°C
anomalies.
(Figure 7c), the TIW activity being more intense for both
data sets in 2002 and 2003 and weaker in 2004 and
2005. If the amplitudes of SLA and SST anomalies
compare well most of the years, it is not the case in
2001 where SST amplitude is one of the more intense of
the period 1999– 2005 whereas the amplitude in SLA is
moderate.
4.2. Interannual Modulation
[40] In the previous section, it has been demonstrated that
the mean surface signature of TIWs over 1999 –2005 was
not limited to the Northern Hemisphere, but project also in
the southern hemisphere, suggesting the presence of crossequatorial structures in SST and SLA that propagate westward together west of 10°W. This contrasts with Steger and
Carton [1991] who did not evidence a clear phase relationship between the TIWs north and south of the equator from
the analysis of SST snapshots over the period 1984 –1990.
However it is not clear from first CEOF modes alone that
such cross-equatorial structures are permanent patterns of
TIW variability year after year. Moreover the first CEOF
modes in SLA and SST only represent 30% of the total
variance and thus do not capture the full surface signature of
TIWs. In order to determine the year-to-year variability of
the TIWs cross-equatorial structure itself, CEOF analyses
for SLA and SST were repeated for each individual year.
[41] The first CEOF modes of the SLA data for every
year (Figure 10) represent more than 50% of the total
variance. As in the first CEOF modes for the whole period
1999 – 2005, positive/negative anomalies can be clearly
observed every year along 5°N with 1000-km wavelength
and maxima amplitude ranging from 4 cm in 2004 to >8 cm
in 2002. In the southern hemisphere, the intraseasonal
variability is more complex and is seen to vary from one
year to another. Intraseasonal anomalies are observed between 3°S and 5°S in 2000, 2002 and 2003, and in a lesser
extent in 1999, when the TIW activity in the Northern
Hemisphere is the strongest. As in the 1999 – 2005 CEOF
mode, these anomalies are out of phase (not shown) and
weaker when compared to their 5°N counterparts. In contrast, in 2001, 2004 and 2005 years where structures
between 2°S and 5°S were weaker, variability in the
southern hemisphere is mainly dominated by 500-km wavelength mesoscale structures located more southward, near
7°S, with a maximum amplitude of 4 cm. This variability is
seen to be present every year, though with different amplitudes from one year to another. Finally, between the equator
and 3°S, the intraseasonal variability is more variable
interannually but can be distinguished for instance in
1999 or 2002. This signal does not dominate the southern
variability during any year and its amplitude does not
exceed 2 cm.
[42] The first CEOF modes in SST represent more than
the 48% of the total variance every year (Figure 11). The
TIWs spatial structure closely resembles the first CEOF
mode in SST that was computed for the whole period
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Figure 12. Time-Latitude plots of the standard deviation of 25- to 50-day filtered (a) SLA and (b) SST
and of the low-pass-filtered (>50 days) OSCAR zonal velocities. (c) The fields are zonally averaged over
the longitudes 30°W – 15°W. Units are centimeters for SLA, degrees centigrade for SST, and meters per
second for zonal velocities.
1999 – 2005, and is similar throughout the years in the
vicinity of the equator, in contrast with SLA where variability in the southern hemisphere were highly variable
from one year to another. The TIWs signature in SST is
dominated by a double-hemisphere pattern with two latitudes of maximum variability near 2°N and 2°S where
structures of 1000-km wavelength are found to be in
quadrature (not shown), as in the mean CEOF mode for
1999 – 2005. The highest amplitudes at 2°N are observed in
2001 and 2004, in agreement with Wu and Bowman [2007].
Note that the strong SST anomalies in 2004 coincide with
moderate anomalies in SLA, suggesting that the large
amplitude of these anomalies is not due to TIW dynamics,
but rather to a more intense SST front north of the equator
in response to a colder than usual cold tongue in this
particular year [Wu and Bowman, 2007]. In addition,
distinct maxima of variability are found between 3 – 4°S
and 8°S with shorter wavelengths (500 km) and correspond to anomalies observed in SLA at the same latitude.
Finally, the nonpropagating variability east of 10°W is
present every year.
[43] These results emphasize that the mean spatial structures in SLA and SST computed for 1999 – 2005 (Figures 7
and 8) provide a robust description of the cross-equatorial
structure of the TIWs, in particular the out-of-phase relationship between SLA anomalies along 5°N and 5°S and the
quadrature between SST anomalies along 2°N and 2°S.
However, whereas the TIWs structures in the Northern
Hemisphere are shown to be persistent throughout the years,
the variability in the southern hemisphere proves to be more
variable from one year to another, especially between the
equator and 3°S, with an additional variability more southward between 5°S and 8°S.
4.3. Seasonal Evolution
[44] Figure 12 shows the time-latitude distribution of the
zonally averaged standard deviation of 25- to 50-day
anomalies for both data sets between 30°W and 15°W.
Unlike SLA, which highest 25- to 50-day variability is
centered every year on boreal summer at 5°N (Figure 12a),
the latitude of maximum variability in SST is indeed seen to
vary between 1°N and 3°N from one year to another, mainly
in response to the year-to-year meridional migration of the
SST front north of the boreal summer cold tongue. In the
southern hemisphere, Figure 12a reproduces the three
latitudes of maximum variability (2°S, 5°S and 7°S) that
were described in the previous section. Interestingly, the
variability in SLA along 2°S and 7°S is mostly observed to
occur after the peak of the TIWs season, suggesting that the
southern signature of TIWs, along 5°S, is not the only
source of variability south of the equator. In contrast, the
intraseasonal variability in SST north and south of the
equator is seen to be more simultaneous.
[45] TIWs are triggered by oceanic instabilities of the
seasonally varying currents and hydrological structure. To
assess the role of surface seasonal zonal currents shear for
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Figure 13. Snapshots of the horizontal distribution of SST (colored) and 25- to 50-day filtered SLA
(contours) each month from (top) mid-May to (bottom) mid-September for (left column) 2002 and (right
column) 2004. Contour interval for SLA anomalies is 1 cm (negative values are in dashed line).
the generation of 25– 50 days SLA anomalies, we compare
the time-latitude distributions of the SLA anomalies standard deviation and of the low-pass (>50 days) OSCAR
zonal currents (where TIWs variability has been filtered
out), both zonally averaged over 30°W – 15°W (Figures 12a
and 12c). SLA variability is found to be maximum in boreal
summer of every year, when eastward (westward) velocities
are the strongest at 5°N (2°N) and the meridional shear
between the NECC and the SEC is positive and maximum
giving birth to barotropic instabilities [e.g., Philander, 1976,
1978]. The correlation between the intensity of the NECC
and the TIW amplitude along 5°N is found to be 0.71 ±
0.04. A description of the NECC seasonal variability can be
found in Garzoli [1992]. Note that there is no such
meridional shear in the southern hemisphere, suggesting
that the southern component of TIWs is not created locally
through the instability of the surface currents, but rather
related to the either variability north of the equator or below
the surface. Besides no clear correspondence was identified
between the interannual variability in SLA anomalies and
the intensity of OSCAR zonal currents in boreal summer,
which does not allow us to conclude about the origin of
TIWs interannual variability. The vertical and horizontal
shear between the EUC and the SEC beneath the surface is
another source of instability [e.g., Qiao and Weisberg, 1998]
that may play role in the TIW year-to-year variability, but
this cannot be observed from satellite data.
[46] To describe in more details the seasonal evolution of
TIWs anomalies in SLA and SST, Figure 13 presents
snapshots of the horizontal distribution of SST and of 25to 50-day anomalies in SLA for two specific years (2002
and 2004). TIWs variability in SST has already been
described for 2002 by Bunge et al. [2007], but snapshots
of SLA anomalies provide additional information about the
temporal evolution of the spatial structure of this variability.
In 2002, the TIWs season began in mid-May, with the
appearance of organized anomalies in SLA along 5°N
(reaching 7 cm in amplitude in June at 20°W). In mid-June,
anomalies in SLA are intensified along 5°N, with weaker
out-of-phase counterparts along 5°S, that both persist in
July. In terms of SST, large meanders of the SST front were
observed in June simultaneously to SLA anomalies from
2°S to 2°N. During July, anticyclonic filaments of cold
waters were seen to form progressively poleward of
2 degrees in latitude in each hemisphere at the location of
the positive zonal gradient of SLA anomalies, i.e., where
anomalous meridional geostrophic velocities were poleward. Conversely, warm waters penetrated equatorward at
the longitudes of negative zonal gradient of SLA anomalies,
i.e., where anomalous meridional geostrophic velocities
were equatorward. In mid-August, filaments of SST were
still present north of the equator and west of 20°W, but were
no longer visible east of 20°W or in the southern hemisphere where the southward extension of the cold tongue
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Figure 14. Spatial and temporal distribution of 10- to 20-day filtered SST and QuickSCAT meridional
wind stress. (a) Time-Latitude plot of 10- to 20-day SST anomalies zonally averaged over 5°W –0°E.
Contours are the SST low-pass-filtered (periods >50 days); contour interval is 1°C; 24°C isotherm is in
thick line. First EOF modes of the 10- to 20-day anomalies in (b) SST and (c) meridional wind stress;
contour interval is 0.2°C for SST and 2.5 10 3 N m2 for wind stress. (d) Amplitude of the corresponding
principal components in SST (solid line) and meridional wind stress (blue line). (e) Same as Figure 14d, but
the meridional wind stress amplitude is multiplied by the SST front index (red line) as defined in the text.
suppressed the background SST gradient that is required to
observe TIWs. Meanwhile, the dominant out-of-phase
TIWs began to disorganize, especially along 5°S, and were
progressively replaced by successive positive/negative
anomalies along 6°S, which become stronger in September
and do not have counterpart in the Northern Hemisphere. At
6°S, the SLA anomalies had amplitude of the order of 3 cm,
typical wavelength of 500 km and westward phase speeds
of about 17 cm/s. Bunge et al. [2007] showed the existence
of this intraseasonal variability, but with SST observations
alone. It must be noted that SLA anomalies of amplitudes
close to 2 cm were observed along 2°S in 2002 from midMay to mid-September, appearing at the same time as TIWs
but becoming stronger in mid-August and lasting beyond
the TIWs season. It is not clear whether the various forms of
intraseasonal variability contributed to the progressive widening of the equatorial cold tongue.
[47] The patterns of 25- to 50-day variability in 2004
were quite different. While SLA coherent structures were
also observed with wavelengths of 1000 km along 5°N from
May to July, they were weaker than in 2002 and had no
clear counterpart in the southern hemisphere, thus departing
from the dominant TIWs captured by the 1999– 2005 CEOF
decomposition. Nevertheless, larger meanders and filaments
in SST were seen during mid-July of that year, extending as
far as 5°N, but the distance between two successive filaments proved to be less (about 700 km) than in 2002 (about
1000 km). SLA anomalies along 5°N thus cannot fully
explain the characteristics of the intraseasonal variability in
SST more equatorward and other mechanisms may be at
play to create/maintain these filaments in 2004. However,
the intraseasonal variability in SLA along 2°S had the same
characteristics in 2002 and 2004, and the 500-km wavelength SLA anomalies were once again present from August
till September.
5. Biweekly Signal
[48] As seen in the longitude-time diagram of SST
anomalies (Figure 3), another strong intraseasonal variability was present in the Gulf of Guinea, with periods between
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10 and 20 days and no clear zonal propagation. This signal
that is equatorially trapped and has no signature in SLA was
already observed in the Equatorial Atlantic both in current
meter data and in SST [Bunge et al., 2006]. This variability
has been associated with mixed Rossby-gravity waves that
have maximum meridional velocities right at the equator
and are thought to be mainly forced by the intraseasonal
anomalies in meridional wind stress [Houghton and Colin,
1987], even though tropical instabilities are likely to play
also a role in their generation at depth [Düing et al., 1975].
[ 49 ] To identify the geographical distribution and
temporal evolution of this variability, an EOF analysis on
the 15-day SST anomalies was performed from 2000 to
2005 in the region where this variability was observed, i.e.,
[15°W – 10°E] [4°S – 4°N]. Figures 14b and 14d show
respectively the spatial mode (that represents 26% of the
total variance) and the amplitude of the principal component
of the first EOF mode. The amplitude was computed as the
maximum value over successive 5-day windows. The spatial SST variability mode is confined to a narrow equatorial
region, and amplitudes are maximum along a tilted line that
corresponds to the northern front of the seasonal cold
tongue (Figure 14b). There is a clear seasonal variability
with maximum amplitude in boreal summer (Figure 14d).
This maximum SST variability coincides with periods of the
year when the SST front near the equator is most intense
(Figure 14a).
[50] The first EOF mode of 10- to 20-day meridional
wind stress was computed to assess the role of the local
intraseasonal wind stress anomalies for the generation of the
15-day SST variability (Figure 14b). The EOF analysis was
calculated within the same region, [15°W – 10°E] [4°S–
4°N], as for SST. This mode, which accounts for 31% of the
total variance, shows that a significant variability in meridional wind stress is present in the same band of frequencies.
The spatial structure of this mode shows that the 15-day
anomalies in wind stress are located over a region, extending from 4°S to 2°N and from 15°W to 5°E that is far larger
than the region where 15-day anomalies in SST are observed. Note however the presence of a local maximum
along the equator, near 3°W, at the location of the maximum
in SST anomalies, which may be the local signature of a
possible retroaction of the SST anomalies over the atmosphere just above. The amplitude of the corresponding
principal component (solid line in Figure 14d) shows that,
unlike the first EOF mode in SST, the 15-day variability in
meridional wind stress is present throughout the year and is
not seasonally locked to boreal summer, though the maximum amplitudes are mostly found in June. However there is
a close peak-to-peak correspondence between the two time
series in Figure 14d, with a correlation of 0.57 ± 0.07.
[51] To study how the magnitude of the SST front
seasonally modulates the amplitude of the 15-day signal
in SST, a SST front index (FI) was computed from the
time series of low-pass-filtered SST data (periods greater
than 50 days) to represent the intensity of the northern
front of the boreal summer cold tongue. This front index is
defined as (TN TS)/L, where TN and TS are the spatially
averaged low-pass-filtered SST over respectively [10°W –
0°E] [3°N–4°N] and [10°W –0°E] [1°S – 0°N], and L
is 4° in latitude. The amplitude of the first EOF principal
component of the wind stress (blue line in Figure 14d) is
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then multiplied by the FI (red line in Figure 14e). The time
evolutions of the first EOF modes in FI-modulated wind
stress and in SST are now quite similar, with a correlation
coefficient increasing to 0.72 ± 0.05. This demonstrates
that the 15-day signal at the surface of the ocean is forced
by intraseasonal anomalies in meridional wind stress at the
same periods, but that its signature in SST is strongly
influenced by the presence and intensity of the cold tongue
front.
6. Summary and Conclusion
[52] The intraseasonal (10 – 50 day) variability at the
surface of the tropical Atlantic has been analyzed from
the comparison of multiyear satellite observations of SLA
and SST over the period 1999 – 2005. This variability was
shown to be the most intense in boreal summer for both data
sets. This paper evidences the existence of two principal
signals that dominate the variability in two distinct regions,
west of 10°W and east of 10°W. The first one has periods
between 25 and 50 days and was observed at off-equatorial
latitudes in both SLA and SST. It corresponds to the surface
signature of TIWs. The second dominant signal was observed within the Gulf of Guinea with periods between 10
and 20 days, and only had a signature in SST.
[53] An important result of this study is that the TIWs have
a signature in SST and SLA both north and south of the
equator with the same range of wavelengths (1000 km),
phase velocities (25 – 45 cm/s) and periods (30 – 45 days),
indicating that TIWs are essentially a westward-propagating
cross-equatorial wave pattern. In SLA, the strongest anomalies associated with TIWs are found along 5°N and 5°S,
though they are twice weaker in the southern hemisphere than
north of the equator. A similar cross-equatorial structure in
SLA has been evidenced in the Pacific Ocean by Lyman et al.
[2005] and explained as a first meridional mode Rossby
wave, whose meridional structure is modified by the background zonal currents [see also Proehl, 1998], leading to
larger amplitudes at 5°N. The evidence of comparable crossequatorial SLA variabilities in the Pacific and in the Atlantic
indicates that Rossby waves must be the main contributor for
TIW dynamics in the Atlantic too. However, contrary to the
Pacific Ocean where SLA anomalies north and south of the
equator are found to be mainly in phase [Lyman et al., 2005],
we have evidenced the presence of an out-of-phase crossequatorial structure in the Atlantic in the present study. This
suggests that a second meridional mode of equatorial Rossby
waves is likely to participate to the TIWs variability in the
equatorial Atlantic Ocean, even though more thorough studies would be needed to determine the precise cross-equatorial
structure of equatorial waves in the presence of mean zonal
currents.
[54] In SST, the dominant pattern for TIWs has maximum
amplitudes at 2°N and 2°S west of 10°W, with amplitudes
twice greater in the Northern Hemisphere as in SLA. This
spatial mode has been shown to be a robust pattern that is
present every year. Unlike SLA, SST anomalies associated
with TIWs are observed to be mostly in quadrature north
and south of the equator. Such discrepancies in the phase
relationships between northern and southern anomalies in
SLA and SST shows that the dynamics of the dominant
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ATHIE AND MARIN: ATLANTIC INTRASEASONAL VARIABILITY
5°N/5°S pattern in SLA cannot fully explain the SST
signature of TIWs west of 10°W.
[55] Finally, the TIW signatures in SLA and SST are
shown to experience a comparable year-to-year variability
in their magnitude, suggesting that the interannual variability in TIW signature in SST is a good indicator of the
variability of the TIWs dynamics itself. However, in 2001,
the amplitude of the TIWs was seen to be higher in SST
than in SLA. This could be related to the presence of a
stronger cold tongue in 2001, as evidenced by Wu and
Bowman [2007], that amplifies the intensity of the SST
front which is required for the TIWs to be observed.
[56] Additional signals of 25- to 50-day variability have
been evidenced in this study. First a 25- to 50-day variability
has been found in SST within the Gulf of Guinea, but, unlike
the variability west of 10°W, it does not propagate westward
and is centered at the equator. Besides, intraseasonal variabilities along 7°S, and between the equator and 3°S, have
been shown to contribute also to the year-to-year modulation
of the TIW signature in SLA. A numerical study by von
Schuckmann et al. [2008] suggests that baroclinic instabilities in the southern hemisphere can indeed trigger locally
intraseasonal variability south of the equator. More studies
are needed to determine the possible interaction between
these different sources of intraseasonal variability.
[57] Another important conclusion of this paper is the
existence, east of 10°W, of an equatorial trapped 15-day
variability in SST, that is confined to the Gulf of Guinea, has
no signature in SLA and presents no apparent zonal propagation. This variability is observed every summer, with
evidence of some interannual variability, and corresponds
to the meridional migration, back and forth the equator, of the
SST front, north of the equatorial cold tongue. This study
shows that variability in meridional wind stress is present
throughout the year at comparable periods, between 10 and
20 days, in the eastern equatorial Atlantic. The 15-day
variability in SST is thus locally forced by the 15-day
variability in meridional wind stress, which excites equatorially trapped mixed Rossby-gravity waves that have maximum meridional velocities along the equator [Houghton and
Colin, 1987]. The intensity of the SST signature of this
15-day variability is shown to depend strongly on the
presence, and intensity, of the seasonal SST front north of
the equatorial cold tongue that takes place in boreal summer.
Note that the present analysis does not allow to determine if
the 15-day variability in SST forces in turn an atmospheric
response just above, as it is the case for the tropical instability
waves along 2°N west of 10°W [e.g., Caltabiano et al., 2005].
[58] Acknowledgments. Support for this study was provided by
CNES. The altimeter products were produced by Ssalto/Duacs and distributed by Aviso with support from CNES (http://www.jason.oceanobs.com).
TMI data were produced by Remote Sensing Systems and sponsored by the
NASA Earth Science REASon DISCOVER Project. TMI data are available
at http://www.remss.com. The authors are grateful for the many helpful
discussions with Bernard Bourlès, Yves Gouriou and Charly Régnier. They
also thank Karina Von Schuckmann for her useful comments on the first
version of this manuscript. Comments from two anonymous reviewers have
greatly improved the paper.
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