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JOURNAL OF GEOPHYSICAL RESEARCH, VOL. ???, XXXX, DOI:10.1029/, Atlantic Equatorial Undercurrent and associated cold 1 tongue variability 2 Verena Hormann and Peter Brandt IFM-GEOMAR, Leibniz-Institut f¨ ur Meereswissenschaften, Kiel, Germany 3 Verena Hormann, IFM-GEOMAR, Leibniz-Institut f¨ ur Meereswissenschaften, D¨ usternbrooker Weg 20, 24105 Kiel, Germany. ([email protected]) DRAFT January 29, 2007, 4:49pm DRAFT

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Page 1: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

JOURNAL OF GEOPHYSICAL RESEARCH, VOL. ???, XXXX, DOI:10.1029/,

Atlantic Equatorial Undercurrent and associated cold1

tongue variability2

Verena Hormann and Peter Brandt

IFM-GEOMAR, Leibniz-Institut fur Meereswissenschaften, Kiel, Germany3

Verena Hormann, IFM-GEOMAR, Leibniz-Institut fur Meereswissenschaften, Dusternbrooker

Weg 20, 24105 Kiel, Germany. ([email protected])

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X - 2 HORMANN AND BRANDT: EUC VARIABILITY

Abstract. The Atlantic Equatorial Undercurrent (EUC) is studied us-4

ing a simulation for the period 1990 to 2002 with a high-resolution ocean gen-5

eral circulation model. Simulated transports of the EUC that supplies the6

annual mean upwelling in the central and eastern equatorial Atlantic are in7

good agreement with new transport estimates derived from ship observations,8

i.e. 19.9 and 14.0 Sv at 35◦W and 23◦W, respectively. Although the obser-9

vations are not conclusive concerning the seasonal cycle of EUC transports,10

the simulated seasonal cycles fit largely in the observed range. The analy-11

sis of the EUC variability associated with interannual boreal summer vari-12

ability of the equatorial cold tongue showed that cold tongue indices, defined13

either by near-surface temperature or steric height anomalies, are anticor-14

related with thermocline EUC transport anomalies: a strong EUC corresponds15

to low near-surface temperatures and steric heights. The importance of equa-16

torial waves for the cold tongue region is shown: surface layer transport anoma-17

lies at 23◦W and 10◦W are significantly correlated with both near-surface18

temperature and steric height anomalies in the equatorial and coastal up-19

welling regions, indicating an associated eastward phase propagation along20

the equator towards the African coast where the signal bifurcates into two21

poleward branches along the coast and is reflected into a westward propa-22

gating wave.23

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HORMANN AND BRANDT: EUC VARIABILITY X - 3

1. Introduction

The eastern tropical Atlantic, with its characteristic cold tongue, is a region where up-24

per ocean variability appears in the most obvious way through sea surface temperature25

(SST) anomalies. During boreal summer, SST anomalies along the equator and to the26

south in the eastern equatorial cold tongue region are well correlated with rainfall vari-27

ability over the tropical ocean and adjacent land regions, in particular northeast Brazil28

and coastal regions surrounding the Gulf of Guinea (e.g. Giannini et al. [2003]; Xie and29

Carton [2004]; Kushnir et al. [2006]; Chang et al. [2006]). Thus, this correlation suggests30

a potential predictability of rainfall variability in case of a predictability of SST. In this31

context, oceanic processes are of significance, particularly horizontal advection via the32

zonal currents supplying the eastern upwelling regions [Foltz et al., 2003; Yu et al., 2006].33

The Atlantic Subtropical Cells (STCs) connect the subtropical subduction regions of both34

hemispheres to the eastern equatorial upwelling regimes by equatorward thermocline and35

poleward surface flows (e.g. Liu et al. [1994]; McCreary and Lu [1994]; Malanotte-Rizzoli36

et al. [2000]). One function of the STCs is to provide the cool subsurface water that is37

required to maintain the tropical thermocline. For this reason, STC variability has been38

hypothesized to be important for the decadal modulation of El Nino Southern Oscillation39

(ENSO) and for Pacific decadal variability, and it may affect Atlantic equatorial SST as40

well [Snowden and Molinari , 2003; Schott et al., 2004]. In the Atlantic, STC pathways are41

complicated by their interaction with the other ocean currents, in particular the north-42

ward flow of warm water by the Meridional Overturning Circulation (MOC) [Ganachaud43

and Wunsch, 2001; Lumpkin and Speer , 2003]. As a consequence of these interactions44

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X - 4 HORMANN AND BRANDT: EUC VARIABILITY

the southern STC is stronger than the northern one (e.g. Malanotte-Rizzoli et al. [2000];45

Fratantoni et al. [2000]; Zhang et al. [2003]). The STCs also interact with even shallower46

overturning cells confined to the tropics that are associated with downwelling driven by47

the decrease of the poleward Ekman transport 4 − 6◦ off the equator (e.g. Liu et al.48

[1994]; McCreary and Lu [1994]). Inui et al. [2002] pointed out that the Atlantic STCs49

are sensitive to changes in wind stress and it has been established that wind-driven STC50

transport variations (v’T hypothesis: Kleeman et al. [1999]) are more relevant than ad-51

vection of subducted temperature anomalies by the mean STC currents (vT’ hypothesis:52

Gu and Philander [1997]) in generating equatorial SST anomalies [Schott et al., 2004].53

The Equatorial Undercurrent (EUC) is the primary equatorial branch of the STCs and54

seems to terminate near the eastern boundary [Schott et al., 2004]. In the western source55

region, the Atlantic EUC is predominantly supplied from the southern hemisphere as a56

consequence of the northward flowing upper branch of the MOC (e.g. Fratantoni et al.57

[2000]; Schott et al. [2002]; Hazeleger et al. [2003]). Studying the fate of the Atlantic58

EUC, Hazeleger and de Vries [2003] showed that most EUC water upwells in the equato-59

rial region. Thus, understanding EUC variability is important because it can affect SST60

through its effects on equatorial upwelling.61

The seasonal cycle of the Atlantic EUC, with focus on the western and central part of62

the basin, has been addressed by a variety of model studies and there is general agree-63

ment that the transport cycle can be characterized by two maxima - the primary one64

during boreal summer/autumn and another during boreal winter/spring [Philander and65

Pacanowski , 1986b; Schott and Boning , 1991; Hazeleger et al., 2003; Arhan et al., 2006;66

Huttl and Boning , 2006].67

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HORMANN AND BRANDT: EUC VARIABILITY X - 5

Presently, little can be said about the seasonal cycle of EUC transport from observations68

but a sufficient number of cross-equatorial ship sections are now available at 35◦W and69

near 23◦W to afford reasonable estimates of the mean EUC structure and transport at70

these locations [Schott et al., 2003; Brandt et al., 2006]. Farther east, measurements are71

sparse and the observed snapshot transports indicate a large variability of the current72

system [Hisard and Henin, 1987; Bourles et al., 2002; Mercier et al., 2003].73

In the Pacific, mean transport and seasonal cycle of the EUC are fairly well known across74

most of the basin and EUC variability is known to occur in association with SST vari-75

ations in the eastern cold tongue region on both seasonal and interannual time scales76

[Philander et al., 1987; Yu and McPhaden, 1999; Keenlyside and Kleeman, 2002; Johnson77

et al., 2002; Izumo, 2005]. The key element responsible for the development of Pacific78

ENSO events is the dynamical feedback mechanism described by Bjerknes [1969]. Like the79

ENSO mode, the underlying feedback of warm (cold) episodes in the equatorial Atlantic80

cold tongue region during boreal summer is also thought to be the dynamical Bjerknes81

mechanism (e.g. Zebiak [1993]; Xie and Carton [2004]; Chang et al. [2006]; Keenlyside82

and Latif [2007]), but observations are more limited. In this study, we therefore use a83

high-resolution ocean model to investigate the Atlantic EUC and associated cold tongue84

variability.85

The remainder of this paper is organized as follows: Section 2 provides a description and86

extensive validation of the used model. Mean and seasonal cycle in the central and eastern87

equatorial Atlantic are addressed in section 3, while section 4 deals with the interannual88

variability. Finally, the results are summarized and discussed in section 5.89

90

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2. Models and Data

2.1. FLAME

This study is based on monthly mean fields of a numerical model simulation performed91

as part of the Family of Linked Atlantic Ocean Model Experiments (FLAME) hierarchy92

of models for studying various aspects of the Atlantic Ocean [Dengg et al., 1999]. FLAME93

follows up the kind of ocean models as used in the Community Modeling Effort (CME)94

[Bryan and Holland , 1989; Boning and Bryan, 1996] and the European Dynamics of North95

Atlantic Models (DYNAMO) ocean model intercomparison study [Willebrand et al., 2001].96

The numerical code1 is based on a refined configuration [Redler et al., 1998] of the GFDL97

MOM 2.1 code [Pacanowski , 1995]. The model domain covers the Atlantic Ocean between98

18◦S and 70◦N, 100◦W and 30◦E, with a horizontal resolution of 1/12◦ in longitude and99

1/12◦cosφ in latitude. This z-coordinate model version uses 45 levels in the vertical, with100

10m-resolution near the surface, smoothly increasing to a maximum of 250 m below 2250101

m. Vertical mixing is parameterized based on the stability-dependent scheme for vertical102

diffusivity (κh = 0.1 − 4.0 cm2/s) and viscosity (κm = 2.0 − 10.0 cm2/s) as described103

in Boning and Kroger [2005], and a KT-scheme [Kraus and Turner , 1967] is used for104

the mixed layer. The model uses biharmonic friction and isopycnal diffusion, with a105

diffusivity of 50 m2/s and a viscosity of 2 · 1010 m4/s. The model spin-up starts from106

the Levitus climatology [Boyer and Levitus , 1997] for 10 model years under climatological107

forcing, based on the monthly mean wind stresses and linearized heat fluxes as derived108

from ECMWF2 analyses for the years 1986 − 1988 by Barnier et al. [1995]. The surface109

heat flux includes a relaxation to climatological SST in a formulation following Haney110

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HORMANN AND BRANDT: EUC VARIABILITY X - 7

[1971]:111

Q = Q0 + Q2 (SSTmodel − SSTclim) (1)112

with Q2 = ∂Q∂SST

∣∣∣SSTclim

and Q0 denotes the prescribed surface heat flux. The spin-up113

phase is followed by an interannually forced period from 1987 to 2003, based on the114

NCEP/NCAR3 reanalysis [Kalnay et al., 1996], i.e. the variable surface forcing is realized115

by adding the monthly net heat flux and wind stress anomalies from the NCEP/NCAR116

reanalysis to the ECMWF-based climatology data. In the present study, monthly output117

fields of the time period from 1990 to 2002 are used. Further details and specifications118

are found in e.g. Eden and Boning [2002]; Huttl and Boning [2006].119

Monthly mean output fields of the last 2 spin-up years of a second experiment120

(SPFLAME), based on the same numerical code and with the same vertical and hori-121

zontal resolution as described above, are also used. Subgrid-scale parameterization are122

here biharmonic friction and diffusion (with diffusivity of 0.8 · 1010 m4/s and viscosity123

of 2 · 1010 m4/s) and a closure for the vertical turbulent kinetic energy (TKE) following124

Gaspar et al. [1990]. The surface forcing is due to the monthly fields of the ECMWF cli-125

matology which were linearly interpolated onto the model time. For further information126

see e.g. Eden [2006].127

128

2.2. Data

Additionally, 16 cross-equatorial ship sections at 35◦W are used in this study as well as129

13 sections carried out between 29 − 23◦W. Updated mean sections of zonal currents at130

35◦W [Schott et al., 2003] and near 23◦W [Brandt et al., 2006] are derived, now including131

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the Meteor cruises of May (∼ 23◦W between 2◦S and 0.5◦N) and June/July 2006 (35◦W132

between 5◦S and 5◦N; 23◦W between 4◦S and 5◦N). As described in Brandt et al. [2006],133

above 30 m the mean flow fields are linearly interpolated towards the mean surface flow134

obtained from the surface drifter climatology by Lumpkin and Garzoli [2005].135

The surface drifter climatology by Lumpkin and Garzoli [2005] is also used for comparison136

with the model’s surface velocities. Monthly mean fields of the tropical Atlantic, available137

on a regular 1◦ × 1◦ grid, were derived by combining and integrating time-mean, annual138

and semiannual components of the total velocity. Results were smoothed via optimum in-139

terpolation (OI), assuming a gaussian autocorrelation function with an isotropic e-folding140

scale of 150 km.141

Furthermore, two different SST products are used in this study: NOAA4 and Microwave5142

(MW) OI datasets. The NOAA OI SST monthly fields (version 2) were derived by a linear143

interpolation of the corresponding weekly OI fields to daily fields and then averaging the144

daily values over a month [Reynolds et al., 2002]. The horizontal resolution is globally145

1◦ × 1◦ and monthly averages are available from November 1981 ongoing. Besides, the146

daily MW OI SST dataset based on the microwave imager on board the TRMM6 satellite147

covers the oceans between ±40◦ in latitude for the period January 1998 to present. SSTs148

were blended together using the OI scheme described in Reynolds and Smith [1994], with149

a horizontal resolution of 0.25◦ × 0.25◦.150

We also use the along-track Topex/Poseidon (T/P) sea surface anomaly (SSA) dataset151

produced by the Jet Propulsion Laboratory, PO.DAAC7. This dataset is organized as 10152

day repeat cycles and available from September 1992 ongoing. The SSA represents the153

difference between the best estimate of the sea surface height and a mean sea surface. The154

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HORMANN AND BRANDT: EUC VARIABILITY X - 9

sea surface height was corrected for atmospheric effects (ionosphere, wet and dry tropo-155

sphere), effects due to surface conditions (electromagnetic bias) and other contributions156

(ocean tides, pole tide and inverse barometer). The value of the mean sea surface used to157

calculate SSA is from the mean sea surface height fields by Rapp et al. [1994] computed158

using Deos3, Seasat and about 15 months of T/P altimeter data [Berwin and Benada,159

2000]. For the purpose of the present study, the along-track data are first mapped on a reg-160

ular 1◦×1◦ grid using a gaussian interpolation scheme and afterwards averaged per month.161

162

2.3. Model-Data Comparison

a) Mean and Seasonal Cycle. In order to validate the FLAME model, mean sections163

at 35◦W and at/near 23◦W from SPFLAME as well as from observations [Schott et al.,164

2003; Brandt et al., 2006] are considered (Fig. 1). The mean sections from the models165

are evaluated for transports in isopycnal layers according to the observations, but because166

of a too shallow σθ = 24.5 kg/m3-isopycnal in the FLAME model σθ = 25.4 kg/m3 is167

chosen instead as a lower boundary of the surface layer. This feature can primarily be168

ascribed to a too diffuse thermocline as already noted by Schott and Boning [1991] for the169

CME model. Besides, individual EUC transport estimates from observations at 35◦W and170

at/near 23◦W are calculated by taking only eastward velocities into account for both the171

density range σθ = 24.5 − 26.8 kg/m3 and the depth range 30 − 300 m. Mean transports172

are derived by averaging the individual section transports and uncertainties are estimated173

from the standard deviation of EUC transports assuming independent individual realiza-174

tions (Tab. 1). The transports for the density range are somewhat smaller compared to175

the ones for the depth range, thus some eastward transport above σθ = 24.5 kg/m3 is176

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missed by the chosen density range. In order to capture the total range of EUC transport177

variability from observations, the transports for the 30 − 300 m depth range are chosen178

here. Fig. 2 presents these individual transport estimates at 35◦W and at/near 23◦W179

in comparison with the respective seasonal cycles of EUC transport from both models,180

calculated from the eastward zonal velocities between ±2.5◦ in latitude and within the181

layer 31.5 − 310.6 m by monthly averaging.182

35◦W Section. The mean 35◦W zonal velocity section from 16 cruises shows the EUC183

centered at the equator, with its core at about 100 m depth and a maximum veloc-184

ity of about 65 cm/s. The EUC transport calculated from the mean velocity section185

amounts to 19.9 Sv, with 5.3 Sv in the surface layer and 14.6 Sv in the thermocline layer186

σθ = 24.5 − 26.8 kg/m3. Although the mean EUC transport at 35◦W from the FLAME187

model (19.2 Sv) is in good agreement with the value derived from observations, the trans-188

port distribution between surface and thermocline layer is different, i.e. of nearly equal189

magnitude. This difference is mainly due to a shallower model EUC core, located slightly190

south of the equator at about 70 m depth in the surface layer. In case of the SPFLAME191

model, the vertical extent of the EUC is, particularly towards the surface, much dimin-192

ished compared to the FLAME model and the observations. But in agreement with the193

observations, the core of the SPFLAME EUC is found in the thermocline layer at about194

100 m depth. Due to its shrunken upper part the EUC transports here only 2.8 Sv in the195

surface layer and 11.1 Sv in the thermocline layer. The too deep SPFLAME EUC also196

results in significant differences concerning the westward surface flow. While the FLAME197

model and the observations show two separated bands of westward flow in the surface198

layer, the SPFLAME model has just a broad band of westward surface flow. Note that199

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HORMANN AND BRANDT: EUC VARIABILITY X - 11

the EUC in both models is not clearly separated from the South Equatorial Undercurrent200

(SEUC) in the thermocline layer as indicated by the observations.201

The seasonal cycle of EUC transport at 35◦W from the FLAME model is characterized202

by two transport maxima of about equal magnitude during March/April and September.203

On the other hand, the seasonal cycle of EUC transport in the SPFLAME model run204

shows a maximum during April and another during November. But EUC transports ob-205

tained from 15 cross-equatorial sections at 35◦W are in reasonable agreement with both206

simulated seasonal cycles, with the largest discrepancies during June 1991 and September207

1995. Due to the limited number of measurements, the EUC transport observations do208

not allow us to evaluate the quality of the simulated seasonal cycles of both model runs.209

23◦W Section. As pointed out by Brandt et al. [2006], the EUC loses some 6 Sv over210

about 1000 km of equatorial extent between 35◦W and about 23◦W. This reduction is211

well reproduced by the FLAME model, with an EUC transport of 13.7 Sv across 23◦W212

compared to 19.2 Sv across 35◦W. The differences concerning the characteristics of the213

mean EUC core from observations and the FLAME model, as noted above for the com-214

parison of the mean 35◦W sections, are also apparent in the central Atlantic. But the215

observed and simulated EUC transport distributions between surface and thermocline216

layer are in better agreement in the central equatorial Atlantic than near the western217

boundary. Contrary to the observations, the EUC transport in the SPFLAME model218

run stays fairly constant, with 12.8 Sv across 23◦W compared to 13.9 Sv across 35◦W.219

However, the shape of the SPFLAME EUC is in an overall better agreement with the220

observations in the central equatorial Atlantic. To the north and south of both observed221

and simulated EUC, two branches of the westward South Equatorial Current (SEC) are222

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present in the surface layer and the corresponding westward transports are of comparable223

magnitude. Contrary to the 35◦W section, the SEUC is clearly separated from the EUC224

at 23◦W in both simulations and its eastward transport amounts to 1.9 Sv and 0.8 Sv in225

the thermocline layer of the FLAME and SPFLAME model, respectively. In agreement226

with the mean sections from observations, the simulated SEUCs increase towards the east,227

but the model transports are significantly lower than observed.228

Considering the seasonal cycle of EUC transport at 23◦W from the FLAME model,229

transport maxima during September and April as well as minima during February and230

May/June are apparent. While the simulated maxima at 35◦W are of nearly equal mag-231

nitude, the September maximum is significantly stronger compared to the April one at232

23◦W. Contrary to the 35◦W section, the simulated seasonal cycles of EUC transport from233

FLAME and SPFLAME are in general agreement in the central equatorial Atlantic. In-234

dividual EUC transports are derived from 9 cross-equatorial sections carried out between235

29 − 23◦W. These snapshot transports exhibit a large range of variability that prevents236

from establishing a definite seasonal cycle from observations. In particular, one of the237

highest transport estimates is obtained at 23◦W during June 2005, coincident with a min-238

imum of the simulated seasonal cycles.239

The comparison between the FLAME and SPFLAME model runs reveals significant240

differences concerning the annual mean and seasonal cycle of the EUC at 35◦W, while a241

general agreement is found at 23◦W. As first pointed out by Pacanowski and Philander242

[1981], the simulation of the equatorial upper-layer currents, and in particular the EUC,243

depends strongly on the parameterization of the vertical mixing of momentum. The strong244

sensitivity of the simulated EUC to the vertical viscosity is here suspected to be the main245

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HORMANN AND BRANDT: EUC VARIABILITY X - 13

reason for differences in the representation of the simulated EUC. Apart from different246

vertical mixing schemes, the larger discrepancies at 35◦W may be attributed to the sensi-247

tivity of the recirculation patterns near the western boundary to parameterization choices248

of lateral mixing as stated by Boning and Kroger [2005]. However, analysis of the model249

sensitivity to different mixing parameterizations are beyond the scope of this paper.250

Both at 35◦W and 23◦W, the simulated seasonal cycles of EUC transport from the251

FLAME model are in general agreement with results presented in previous studies. Phi-252

lander and Pacanowski [1986b] (their Fig. 3) found a maximum EUC transport during253

July to September at 30◦W and 10◦W as well as secondary maxima during March/April254

and January/February, respectively. Likewise, Schott and Boning [1991] at 30◦W (their255

Fig. 8) and Hazeleger et al. [2003] at 35◦W and 20◦W (their Fig. 2) yielded comparable256

results. The basin-wide description of the seasonal cycle of EUC transport by Arhan257

et al. [2006] (their Fig. 6a) also revealed two maxima, one during August to November258

in the basin interior and the other one during January to June, most pronounced be-259

tween 40 − 35◦W near the western boundary, but extending eastward to about 10◦W. A260

recent study by Huttl and Boning [2006], also based on the FLAME hierarchy of models,261

yielded significant differences concerning the seasonal cycle of the EUC at 35◦W in the262

1/12◦ and 1/3◦ model versions (their Fig. 6a). While the 1/12◦-case reveals the double-263

maximum EUC cycle (see Fig. 2, upper panel), the boreal winter/spring maximum is264

missing in the coarser resolution case, attributed to an unrealistically weak thermocline265

part. These findings by Huttl and Boning [2006] along with our results concerning the266

seasonal cycle of EUC transport at 35◦W point towards the uncertainties in determining267

a seasonal cycle of EUC transport near the western boundary from model simulations.268

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But evidence from observations is still limited, as exemplified in case of the 35◦W and269

near 23◦W sections. Katz et al. [1981], using 22 sections taken between 33− 25◦W during270

the Global Weather Experiment, found the highest EUC transport during early March271

(based on a single section) and a secondary maximum during August. From an evaluation272

of the 8 FOCAL/SEQUAL8 cruises at 23◦W, Hisard and Henin [1987] obtained maximum273

EUC transports during autumn, but time series of moored current meters at 28◦W, 0◦274

by Weisberg et al. [1987] during 1983 − 1985 did not show a detectable seasonal cycle of275

EUC transport.276

277

b) Surface Velocity. Inspection of longitude-time diagrams of the zonal surface velocity,278

averaged between ±2.5◦ in latitude, from the FLAME model and the drifter climatology279

(Fig. 3) yields good agreement concerning the periods of maximum westward velocities280

during April to July and during November to December. But besides, there are remarkable281

differences regarding periods of weakest westward or even eastward velocities particularly282

in the region east of 5◦E. The drifter climatology reveals slightly westward velocities west283

of about 0◦ during both January to March and August to October, with an eastward284

velocity maximum between about 0− 5◦E during the latter period. Otherwise, the model285

shows mainly eastward velocities during the first quarter of the year as well as to the east286

of about 4◦W during August to October and largest velocities (≥ 20 cm/s) occur between287

about 4◦W and 5◦E during February and March. But note that despite these differences288

the longitudinal averaged seasonal cycle from the FLAME model fits generally in the error289

margins of the drifter climatology.290

291

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HORMANN AND BRANDT: EUC VARIABILITY X - 15

c) Cold Tongue. In this study, the simulated near-surface temperature in 15 m depth292

is chosen instead of SST because of the applied Haney [1971]-type surface heat flux relax-293

ation. The modelled SST will therefore be constrained to be close to the climatological294

SST and, in particular, interannual SST variability is significantly affected. However,295

near-surface temperature anomalies are derived here by removing the respective seasonal296

cycle of the 13-year model simulation at each grid point and Fig. 4 shows a time series of297

the near-surface temperature anomaly within the cold tongue region 20◦W - 5◦E, 6◦S - 2◦N298

in comparison with a corresponding time series of the NOAA OI SST dataset. Overall, the299

agreement between the two time series is reasonable (r = 0.52), with largest differences300

occuring in the mid-90s. The additionally marked monthly anomaly values from the MW301

OI SST dataset give an idea of the uncertainties inherent in the observations.302

303

3. Mean and Seasonal Cycle

3.1. Mean Flow

In order to present a view of the EUC evolution in the eastern equatorial Atlantic,304

Fig. 5 shows the annual mean zonal velocity distributions at 10◦W and 3◦E from the305

FLAME model. In comparison to the 23◦W section (Fig. 1, lower left panel), the EUC306

has significantly weakened at 10◦W. Above σθ = 26.8 kg/m3 the EUC transports only307

9.2 Sv eastward and the velocity of its core, still located slightly south of the equator at308

about 50 m depth, has reduced to about 65 cm/s compared to 80 cm/s at 23◦W. But309

note that contrary to the afore discussed 23◦W section, the EUC is found here nearly310

completely below σθ = 25.4 kg/m3. The aforementioned two branches of the SEC are311

again observable in the surface layer to either side of the EUC as well as the SEUC in312

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the thermocline layer near the southern boundary of the section. In the surface layer to313

the north of about 2◦N there are indications of the eastward Guinea Current. At 3◦E, the314

overall circulation has largely weakened and the EUC transport has reduced to 2.3 Sv,315

only three quarters of the transport at 10◦W.316

317

3.2. Seasonal Cycle

Contrary to the afore discussed seasonal cycles of EUC transport that are calculated318

for a fixed depth range, isopycnal layers are considered here for the meridional sections319

at 23◦W, 10◦W and 3◦E. Isopycnal layers are chosen because they follow the depth range320

of the thermocline better. The seasonal cycle of thermocline EUC transport is derived321

from eastward zonal velocities between ±2.5◦ in latitude and within the isopycnal range322

σθ = 25.4− 26.8 kg/m3, while the seasonal cycle of total eastward transport is calculated323

between ±2.5◦ in latitude and above σθ = 26.8 kg/m3 (Fig. 6). We differentiate here be-324

tween thermocline EUC transport and total eastward transport because of the presence of325

eastward surface currents, particularly in the eastern equatorial Atlantic during January326

to March (Fig. 3, upper panel).327

At 23◦W, where a significant part of the EUC is found above σθ = 25.4 kg/m3 (Fig.328

1, lower left panel) and equatorial surface currents are usually westward (Fig. 3, upper329

panel), the seasonal cycle of total eastward transport represents that of the EUC. In corre-330

spondence to Fig. 2 (lower panel), the seasonal cycle of total eastward transport at 23◦W331

is characterized by a maximum during September, a secondary maximum during April332

and minima during May/June and February. The seasonal cycle of thermocline EUC333

transport shows rather an annual cycle, with a maximum during August/September and334

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HORMANN AND BRANDT: EUC VARIABILITY X - 17

a minimum during February. At 10◦W, the seasonal cycles of thermocline EUC transport335

and total eastward transport are in close agreement except during February to April. The336

seasonal cycle of total eastward transport reveals maxima during September and March337

and minima during May and boreal winter. In agreement with the 23◦W section, the sea-338

sonal cyle of thermocline EUC transport is characterized by a maximum during September339

and a minimum during February/March. Overall, the seasonal cycles of both isopycnal340

ranges are much diminished at 3◦E. But weak thermocline EUC transport maxima during341

February and July as well as a pronounced total eastward transport maximum during342

February are observable.343

The stong thermocline EUC transport reduction compared to the total eastward transport344

during boreal winter/spring at all three locations suggests that the boreal winter/spring345

maximum is rather due to an eastward flow in the surface layer than in the thermocline346

layer. This feature is in agreement with recent time series from moored Acoustic Doppler347

Current Profilers at 23◦W, 0◦ revealing the EUC closer to the surface during January to348

May [Provost et al., 2004; Giarolla et al., 2005; Brandt et al., 2006].349

350

3.3. Meridional Ekman Divergence

In order to study the relation between the seasonal cycle of EUC transport and wind-351

induced equatorial upwelling, the meridional Ekman divergence between 2.5◦N and S352

(T 2.5◦N

ek − T 2.5◦Sek

)from the FLAME model is presented (Fig. 7). The pattern can gen-353

erally be described by divergences, associated with prevailing easterly winds, to the west354

of about 0◦ and convergences, due to an eastward wind stress component related to the355

low-pressure system on the African continent [du Penhoat and Treguier , 1985], farther356

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east. While the meridional Ekman divergence maximum during November can be found357

throughout the equatorial Atlantic, there are regional differences concerning another max-358

imum during boreal spring/summer. To the east of about 15◦W, this maximum shows359

up during April to June whereas it appears between about 25 − 15◦W during July and360

farther west during August. In the central and eastern equatorial Atlantic, the meridional361

Ekman divergence is at minimum during August/September and February/March.362

However, seasonal variations of the meridional Ekman divergence are rather dominated363

by an annual harmonic near the western boundary whereas a prevailing semiannual signal364

is apparent in the central and eastern part of the basin (q.v. Philander and Pacanowski365

[1986a]).366

Obviously, the seasonal cycle of the meridional Ekman divergence is not simply related367

with the seasonal cycle of thermocline EUC transport, in particular due to a remote forc-368

ing of the EUC strength. The boreal summer/autumn maximum of the EUC is regarded369

as a near-equilibrium response to the equatorial easterly trades in the western and cen-370

tral Atlantic (e.g. Philander and Pacanowski [1980, 1986a]) and thus a correspondence371

between this EUC maximum and a maximum of the meridional Ekman divergence can372

be expected near the western boundary during boreal summer/autumn. During Febru-373

ary/March, the meridional Ekman divergence minimum that is present throughout the374

equatorial Atlantic coincides with the thermocline EUC transport minima at 23◦W and375

10◦W as well as with the weak thermocline EUC transport maximum at 3◦E. Favored by376

the eastward shoaling of the EUC, eastward wind stress anomalies drive directly surface377

and undercurrent layer in the easternmost part of the equatorial Atlantic.378

379

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HORMANN AND BRANDT: EUC VARIABILITY X - 19

3.4. Mean Box Budget

For the purpose of further examining the relation between horizontal transports and up-380

welling, in particular with regard to the EUC, Fig. 8 (upper panel) shows an annual mean381

box budget of the central and eastern equatorial Atlantic calculated from the FLAME382

model. The boxes are defined by zonal sections at 2.5◦N, 2.5◦S, 7.5◦S and 15◦S as well383

as by meridional sections at 23◦W, 10◦W and 3◦E, with section horizontal transports384

indicated for both thermocline and surface layer. These mean transports are derived by385

first calculating the respective transports for each time step and then averaging over the386

whole period. Upwelling across σθ = 25.4 kg/m3, which is generally below the mixed387

layer, results from the continuity of the corresponding section horizontal transports of388

the surface layer, i.e. horizontal transport divergences (convergences) lead to upwelling389

(downwelling).390

At 23◦W, the thermocline layer is characterized by a strong eastward inflow in the equa-391

torial belt (5.9 Sv) due to the EUC and a reduction of the eastward flow towards the392

African coast. Associated with the eastward weakening of the thermocline flow along the393

equator, there is significant upwelling throughout the equatorial belt. In this region, the394

surface layer transports are predominantly characterized by a meridional divergence west395

of 10◦W and a zonal divergence east of 10◦W. This feature is also illustrated in Fig. 8396

(lower panel). While the total surface layer transport divergence is mainly determined397

by the zonal transport divergence from the eastern boundary up to about 10◦W, the398

meridonal transport divergence contributes significantly just to the west of about 10◦W.399

The additionally depicted annual mean meridional Ekman divergence shows weak conver-400

gences to the east of 5◦W, followed by a steep increase towards the west. As discussed401

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X - 20 HORMANN AND BRANDT: EUC VARIABILITY

by McCreary and Lu [1994], the meridional transport in the surface layer is given by the402

Ekman drift and the geostrophic transport (q.v. Schott et al. [2004]). The geostrophic403

transport always counteracts the Ekman transport which is the main reason for the differ-404

ence between total surface layer transport divergence and meridional Ekman divergence.405

However, equatorial upwelling is most intense between 10◦W and 3◦E (1.5 Sv), coinci-406

dent with strongest thermocline EUC transport reduction (4.3 vs. 1.1 Sv). Although407

the eastward weakening of the EUC is in parts also due to a southward transport in the408

thermocline layer across 2.5◦S, a significant part of the EUC supplies the equatorial up-409

welling. The adjacent southern belt reveals also eastward transports in the thermocline410

layer, here attributed to the SEUC, as well as westward transports above σθ = 25.4kg/m3.411

As aforementioned, between 10◦W and 3◦E the EUC loses some transport towards the412

south and thus contributes partly to the strong upwelling (1.1 Sv) between 2.5 − 7.5◦S.413

But besides, the SEUC is also of importance considering the upwelling in this belt. The414

coastal upwelling south of 2.5◦S is supplied by a weak southward flow out of the equatorial415

belt and eastward flow across 3◦E. The southernmost box, located east of 3◦E between416

7.5 − 15◦S, indicates a cyclonic circulation in the thermocline layer as well as significant417

upwelling. These features can be associated with the Angola Dome which center was418

reported at 5◦E, 13◦S by Gordon and Bosley [1991].419

The annual mean box budget of the central and eastern equatorial Atlantic from the420

FLAME model suggests a partial supply of both equatorial and coastal upwelling by the421

EUC. In agreement with Fig. 8 (upper panel), showing that the EUC transport loss422

between 23◦W and 10◦W is mainly due to equatorial upwelling, a former study of the423

tropical Atlantic’s mean mass budget by Philander and Pacanowski [1986b] yielded that424

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HORMANN AND BRANDT: EUC VARIABILITY X - 21

the EUC reduces its transport from 14.6 Sv across 30◦W to 4.5 Sv across 10◦W because425

of equatorial upwelling. Philander and Pacanowski [1986a] pointed out that the eastern426

equatorial Atlantic has a distinct semiannual cycle of upwelling and downwelling which427

is primarily associated with the divergence of the westward surface flow, not with the428

divergence of the meridional Ekman drift [Philander and Pacanowski , 1986b]. Similarly,429

Verstraete [1992] noted that neither the meridional Ekman divergence at the equator nor430

the coastal Ekman divergence due to alongshore winds can explain a significant part of431

the upwelling in the Gulf of Guinea. A concomitant analysis of thermocline water masses432

indicated a supply of the coastal upwelling by the EUC. Hazeleger and de Vries [2003]433

studied the fate of water masses in the Atlantic EUC using a global 1/4◦ ocean model434

and determined sites where water masses from the EUC upwell and later downwell due to435

a Lagrangian trajectory analysis. In the model study by Hazeleger and de Vries [2003],436

most of the EUC water upwells in the equatorial region, even though other upwelling sites437

are found close to the African continent.438

439

4. Interannual Variability

4.1. Boreal Summer Cold Tongue Variability

In order to further investigate the relation between zonal advection and equatorial up-440

welling in the Atlantic cold tongue region, we focus here on the period from June to August441

(JJA) when the cold tongue is most pronounced. Considering the mean June-July-August442

average of the near-surface temperature from the FLAME model in the central and east-443

ern equatorial Atlantic (Fig. 9, left panel), a patch of low temperatures shows up within444

the region 20◦W - 5◦E, 6◦S - 2◦N (q.v. Xie and Carton [2004]) and in correspondence,445

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X - 22 HORMANN AND BRANDT: EUC VARIABILITY

steric height values are also dropped in this region during boreal summer (Fig. 9, right446

panel). For both quantities, cold tongue indices are derived by averaging the near-surface447

temperature and steric height anomalies of the 13-year model simulation during boreal448

summer over the specified region (Fig. 10a and b). The resulting time series are highly449

correlated with each other (r = 0.87) and warm events occur generally in conjunction450

with positive steric height anomalies. Calculating comparable cold tongue indices from451

the NOAA OI SST and T/P SSA datasets (Fig. 10a and b) confirms the close link be-452

tween both time series found in the model (r = 0.84). Overall, there is also a reasonable453

agreement of the respective extrema from the model and the observations, with largest454

differences in the mid-90s (see Fig. 4).455

Fig. 10c shows the June-July-August averages of the thermocline EUC transport anoma-456

lies, i.e. within the isopycnal range σθ = 25.4 − 26.8 kg/m3, at 35◦W, 23◦W and 10◦W.457

While the two time series at 23◦W and 10◦W are significantly anticorrelated with both458

cold tongue indices from the model, correlation coefficients, in particular concerning the459

near-surface temperature based cold tongue index, are lower regarding the thermocline460

EUC transport anomalies at 35◦W (Tab. 2). Both simulated cold tongue indices are461

significantly correlated with the time series of the June-July-August average of equatorial462

zonal wind stress anomalies in the western and central Atlantic (Fig. 10d). This wind463

time series is in turn anticorrelated with the time series of the thermocline EUC transport464

anomalies, i.e. stronger EUC under enhanced easterlies.465

In order to further illustrate the relation between extreme events and thermocline EUC466

transport anomalies during boreal summer, Fig. 11 presents the mean June-July-August467

equatorial zonal velocities, zonal velocity anomalies and potential temperature anomalies468

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at 23◦W and 10◦W for three warm [1991, 1999, 2002] (cold [1990, 1992, 2001]) years469

occurring in conjunction with significantly reduced (enhanced) thermocline EUC trans-470

ports. The warm and cold events are clearly captured by the temperature distributions,471

with anomalies generally more pronounced near the surface at 10◦W. It is also apparent472

that the eastward EUC and the westward SEC north and south of the equator are weaker473

(stronger) during warm (cold) events. Largest anomalies are found above the EUC core,474

i.e. mainly above σθ = 25.4 kg/m3, at 23◦W extending up to the surface. Thus, westward475

surface velocities directly above the EUC core are enhanced (reduced) during warm (cold)476

events.477

We have shown that during boreal summer positive (negative) near-surface temperature478

and steric height anomalies in the equatorial cold tongue region are linked with reduced479

(enhanced) thermocline EUC transports in the central and eastern Atlantic as well as480

weakened (increased) easterlies in the western and central part of the basin. Several stud-481

ies (e.g. Merle [1980]; Servain et al. [1982]; Zebiak [1993]; Ruiz-Barradas et al. [2000])482

already indicated that there is a link between SSTs in the east and surface winds in the483

west and Goes and Wainer [2003] showed that the upper-ocean circulation decreases (in-484

tensifies) during extreme warm (cold) years, with warm events usually occurring during485

July.486

487

4.2. Role of Equatorial Waves

Inspection of the zonal velocity and temperature anomalies during warm and cold events488

showed generally largest anomalies within the surface layer (see Fig. 11). Fig. 12 (left489

panels) depicts transport anomalies of the 13-year model simulation after subtracting the490

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X - 24 HORMANN AND BRANDT: EUC VARIABILITY

mean seasonal cycle, calculated between ±2.5◦ in latitude and above σθ = 25.4 kg/m3 at491

23◦W and 10◦W. The corresponding variance conserving power spectra (Fig. 12, right492

panels) reveal in both cases a spectral peak at a period of about 5 months, i.e. on in-493

traseasonal time scales. Cross correlation analyses are now carried out between these494

two transport time series and both near-surface temperature and steric height anomalies495

(Figs. 13 and 14). Note that transports within the surface layer are enhanced (reduced)496

during warm (cold) events. The surface layer transports in the equatorial belt are gen-497

erally dominated by the westward SEC that weakens (strengthens) during warm (cold)498

events, although westward surface velocities directly above the EUC core are enhanced499

(reduced) during warm (cold) events (Fig. 11).500

The cross correlation of the transport anomalies at 23◦W and 10◦W with near-surface501

temperature anomalies in the central and eastern equatorial Atlantic (Fig. 13, left pan-502

els) reveals high correlations (up to 0.7) in the near-equatorial region to the west of 10◦W503

in the cases of both sections. Focussing on the 10◦W section, somewhat weaker correla-504

tions are also found in the near-equatorial region to the east of 10◦W as well as in coastal505

regions south of the equator. The examination of the corresponding cross correlations be-506

tween the transport anomalies and steric height anomalies (Fig. 13, right panels) shows507

significant correlations along the equator up to the African coast. Along the coast, the508

signal can be traced up to 10◦N and 18◦S, respectively. This pattern is more pronounced509

regarding the 10◦W section, particularly in the easternmost part of the basin.510

Considering the corresponding cross correlation time scales (Fig. 14), an eastward phase511

propagation along the equator, indicative of the presence of equatorial Kelvin waves, can512

be found. Note that the time scales are somewhat different: near-surface temperature513

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HORMANN AND BRANDT: EUC VARIABILITY X - 25

anomalies react slower to surface layer transport anomalies than steric height anomalies.514

This can be explained by considering the propagation of downwelling/upwelling equato-515

rial Kelvin waves. The deepening and shallowing of the isopycnals associated with these516

waves act in different ways: while the steric height relative to a fixed depth (here about517

500 m) is increased (reduced) in case of deeper (shallower) isopycnals, the near-surface518

temperature is more indirectly affected by vertical mixing leading to a reduced (increased)519

downward heat flux at the base of the mixed layer in case of deeper (shallower) isopycnals.520

At the African coast, there are as well differences between the two quantities. In the case521

of the steric height anomalies, the signal bifurcates into two poleward branches along the522

coast and a separation from the coast as well as an associated westward phase propa-523

gation can be found between about 2 − 5◦N and S. The correlation between the 10◦W524

surface layer transport anomalies and the near-surface temperature anomalies shows only525

a westward phase propagation south of the equator whereas the northern counterpart is526

missing.527

These cross correlation analyses suggest a significant relation between equatorial trans-528

port anomalies within the surface layer in the central and eastern Atlantic and both529

near-surface temperature and steric height anomalies in the cold tongue and coastal up-530

welling regions. Our findings are also confirmed by a corresponding coherence analysis531

at a period of about 5 months (not shown) where both transport time series show their532

energy maxima (see Fig. 12, right panels).533

534

5. Summary and Discussion

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The 1/12◦ FLAME model of the Atlantic ocean was used here to study the EUC and535

associated cold tongue variability. It was shown that the FLAME model is generally in536

line with mean zonal velocity sections derived from ship observations at 35◦W and near537

23◦W, with mean EUC transports of 19.2 and 13.7 Sv compared to 19.9 and 14.0 Sv538

from the observations. Considering the aspect of different vertical mixing parameteriza-539

tions, FLAME was also compared to the SPFLAME run. While significant differences540

emerged at 35◦W concerning the mean zonal velocity distribution and seasonal cycle of541

EUC transport, a general agreement was found at 23◦W. Large discrepancies concerning542

the seasonal cycle of EUC transport at 35◦W were also obtained by Huttl and Boning543

[2006] using model simulations with different horizontal resolutions. Studying the sea-544

sonal variability of deep currents in the equatorial Atlantic, Boning and Kroger [2005]545

stated that in contrast to the zonal flow patterns in the interior the recirculation patterns546

near the western boundary appear sensitive to model resolution and parameterization547

choices. However, due to the limited number of observations, a clear seasonal cycle of548

EUC transport based on cross-equatorial ship sections is still not derivable.549

A clear eastward weakening of the simulated FLAME EUC is apparent throughout the550

equatorial Atlantic. The seasonal cycle of total eastward transport is generally charac-551

terized by two distinct maxima, one during boreal summer/autumn and another during552

boreal winter/spring, but only the boreal summer/autumn maximum is found concerning553

the thermocline EUC transport. In the easternmost part of the equatorial Atlantic there554

is additionally a weak boreal winter/spring maximum in the thermocline layer that cor-555

responds to an Ekman divergence minimum and a forcing by local eastward wind stress556

anomalies is suggested.557

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HORMANN AND BRANDT: EUC VARIABILITY X - 27

The simulation of the equatorial upper-layer currents, particularly the EUC, depends558

strongly on the parameterization of the vertical mixing of momentum [Pacanowski and559

Philander , 1981; Wacongne, 1989; Blanke and Delecluse, 1993]. Differences in the rep-560

resentation of the surface mixed layer were suspected to be a main reason for variations561

in the strength and eastward penetration of the EUC in the DYNAMO models [Dynamo562

Group, 1997]. The strong sensitivity of the simulated EUC to the vertical viscosity was563

confirmed by Boning and Kroger [2005] considering several test runs with different param-564

eterizations of the near-surface vertical mixing (their Fig. 2). Nevertheless, the simulated565

eastward weakening of the EUC, in particular in the eastern equatorial Atlantic, is con-566

sistent with several observations in this region (e.g. Henin et al. [1986]; Hisard and Henin567

[1987]; Gouriou and Reverdin [1992]; Bourles et al. [2002]; Mercier et al. [2003]). This568

weakening of the EUC was explained as closely related to thermocline shoaling, equatorial569

upwelling and enhanced vertical mixing [Wacongne, 1989; Peterson and Stramma, 1991;570

Gouriou and Reverdin, 1992].571

While the boreal summer/autumn maximum is a common and well understood feature572

of the Atlantic EUC, regarded as a near-equilibrium response to the equatorial east-573

erly trades in the western and central part of the basin (e.g. Philander and Pacanowski574

[1980, 1986a]), the causes of the boreal winter/spring maximum are less evident. In par-575

ticular, different mechanisms seem to be at play in the easternmost part of the equatorial576

Atlantic and the regions to the west. The study by Arhan et al. [2006], showing the sec-577

ondary EUC transport maximum most pronounced near the western boundary, suggested578

remote forcing by the low-latitude rotational wind component as well as supply from the579

western boundary currents. Hisard and Henin [1987] observed a much more rapid east-580

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ward weakening of the EUC around 4◦W during summer and autumn than during winter581

and spring and a survey of the subsurface salinity maximum associated with the EUC582

core suggested also a deeper penetration of the EUC in the Gulf of Guinea during the583

latter two seasons. In this context, the seasonal migration of the zonal wind reversal in584

the Gulf of Guinea is believed to be of importance. The zonal winds in the Gulf of Guinea585

change from easterly to westerly near 4◦W in the annual mean, but this reversal migrates586

westward with the northward movement of the intertropical convergence zone (ITCZ). It587

is expected that the associated reversal of the zonal pressure gradient migrates with the588

wind reversal, leading to an earlier termination of the EUC during boreal summer and589

autumn [Philander and Pacanowski , 1986a; Hisard and Henin, 1987].590

The annual mean upwelling in the central and eastern equatorial Atlantic is found to591

be supplied by the EUC, but the SEUC contributes as well. In the equatorial belt, the592

surface layer transports are predominantly characterized by a meridional divergence west593

of 10◦W and a zonal divergence east of 10◦W.594

As a major contribution of the present study, a significant anticorrelation between EUC595

transport anomalies in the central and eastern equatorial Atlantic and both near-surface596

temperature and steric height anomalies in the cold tongue region is found during boreal597

summer. The derived cold tongue indices are also linked with equatorial zonal wind stress598

anomalies in the western and central part of the Atlantic basin, i.e. positive (negative)599

near-surface temperature and steric height anomalies in the equatorial cold tongue region600

occur in conjunction with weakened (enhanced) easterlies to the west. Consequently and601

in agreement with the dynamics of the EUC, the EUC is reduced (enhanced) while the602

winds relax (intensify).603

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HORMANN AND BRANDT: EUC VARIABILITY X - 29

In order to investigate the existence and seasonality of a coupled variability similar to604

ENSO in the equatorial Atlantic, a recent study by Keenlyside and Latif [2007] discussed605

the individual components of the Bjerknes feedback in the Atlantic. They concluded that606

a weak Bjerknes feedback exists in the Atlantic, only active during boreal spring and607

summer. The Bjerknes feedback which may be established on a time scale of one to two608

months can amplify SST anomalies in the cold tongue region. Our analysis of the cold609

tongue season confirms these findings. Warm events are generally found to occur in con-610

junction with relaxed easterlies to the west of the equatorial cold tongue which in turn are611

linked with reduced EUC transports. Thus, the supply of cold thermocline waters to the612

equatorial upwelling regions weakens leading to a further warming of the cold tongue. In613

the Pacific, a pronounced variability of the EUC is known to occur in association with El614

Nino, including a complete shut-off of the EUC during the largest events [Johnson et al.,615

2002; Izumo, 2005].616

Another main point here are the results of the cross correlation analyses between equato-617

rial transport anomalies above σθ = 25.4kg/m3 at 23◦W and 10◦W, with a spectral peak at618

a period of about 5 months, and both near-surface temperature and steric height anoma-619

lies in the central and eastern Atlantic. Significant correlations are found in the equatorial620

and coastal upwelling regions and the corresponding cross correlation time scales point621

at an eastward phase propagation along the equator towards the African coast where the622

signal bifurcates into two poleward branches along the coast. A separation from the coast623

and an associated westward phase propagation are found between 2 − 5◦N and S. This624

propagation pattern suggests the presence of equatorial waves. The linear equatorial wave625

reflection theory indicates that an eastward propagating equatorial Kelvin wave imping-626

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X - 30 HORMANN AND BRANDT: EUC VARIABILITY

ing on a meridional east coast would be reflected into symmetrical westward propagating627

Rossby waves and coastal Kelvin waves [Moore and Philander , 1976]. In consistency with628

these theoretical considerations, Franca et al. [2003] yielded a significant lag correlation629

between Kelvin and first meridional mode Rossby waves near the African coast from al-630

timetry.631

Model studies suggest different mechanisms creating SST anomalies in the cold tongue632

region, among them are air-sea fluxes and subsurface processes as well as horizontal tem-633

perature advection [Peter et al., 2006a, b]. Of particular importance for the mixed layer634

heat budget seem to be the dynamics associated with tropical instability waves (TIWs) as635

shown by Jochum and Murtugudde [2006]. However, observational data are up to now not636

sufficient enough to close the mixed layer heat budget in the cold tongue region especially637

on interannual time scales. In the present study, we have analyzed the Atlantic EUC and638

associated cold tongue variability using the high-resolution FLAME model. While the639

available cross-equatorial ship sections are very useful for determining the mean flow and640

possibly also the seasonal cycle of EUC transport, simulated interannual EUC transport641

variability can only be verified by moored observations mainly due to the large intrasea-642

sonal variability that is typically not captured by shipboard measurements.643

644

Acknowledgments. The authors acknowledge the effort of the Kiel FLAME group in645

developing the model simulations used for the present study and special thanks to S. Huttl646

and C. Eden for providing the data. The model integrations have been performed using647

the computing facilities at MLRE, Hamburg, supported by the staff of the DKRZ. Many648

thanks to A. Morliere, D. Snowden, C. Schmid, F. Schott, Y. Gouriou, M. Rhein, W.649

D R A F T January 29, 2007, 4:49pm D R A F T

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HORMANN AND BRANDT: EUC VARIABILITY X - 31

Zenk, J. Bullister, D. Wallace and A. Koschinsky for allocating shipboard current and hy-650

drographic data. The drifter climatology was developed by R. Lumpkin (NOAA/AOML)651

in collaboration with S. Garzoli and M. Pazos (NOAA/AOML), J. Redman (CIMAS),652

and Z. Garraffo (RSMAS, Univ. Miami). Microwave OI SST data are produced by Re-653

mote Sensing Systems and sponsored by the NASA Earth Science Physical Oceanography654

Program and the NASA REASoN DISCOVER Project. This study was funded by the EU655

Integrated Project AMMA (004089-2) and the Deutsche Bundesministerium fur Bildung656

und Forschung (BMBF) as part of the Verbundvorhaben Nordatlantik.657

Notes

1. http://www.ifm.uni-kiel.de/fb/fb1/tm/data/pers/ceden/spflame/index.html658

2. European Center for Medium-Range Weather Forecast

3. National Center for Environmental Prediction/National Center for Atmospheric Research

4. National Oceanic and Atmospheric Administration

5. http://www.remss.com

6. Tropical Rainfall Measuring Mission

7. Physical Oceanography Distributed Active Archive Center

8. Programme Francais Ocean et Climat dans l’Atlantique Equatorial/Seasonal Response of the Equatorial Atlantic

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Cruise σθ [Sv] depth [Sv]

L’Atalante - 35◦W (Feb. 93) 18.50 23.67Ron Brown - 35◦W (Feb. 02) 15.98 20.92Meteor - 35◦W (Mar. 94) 13.43 19.38Oceanus - 35◦W (Mar. 01)Edwin A. Link - 35◦W (Apr. 96) 16.63 24.55Meteor - 35◦W (Apr. 00) 13.44 22.58Meteor - 35◦W (May 02) 15.02 23.98Sonne - 35◦W (May 03) 17.50 21.81Meteor - 35◦W (Jun. 91) 24.83 36.24Meteor - 35◦W (Jun. 06) 17.10 23.52Thalassa - 35◦W (Jul. 99) 13.54 17.63Meteor - 35◦W (Aug. 04) 19.24 23.76Le Noroit - 35◦W (Sep. 95) 23.85 35.83Meteor - 35◦W (Oct.90) 19.51 24.77Meteor - 35◦W (Nov. 92) 14.76 18.63Sonne - 35◦W (Dec. 00) 12.28 14.75Mean 17.04 (n = 15) 23.47 (n = 15)Standard Error 0.96(n = 15) 1.51 (n = 15)

Seward Johnson - 23◦W (Jan. 00) 10.32 15.07Seward Johnson - 25.5◦W (Jan. 00) 10.87 17.27Seward Johnson - 28◦W (Jan. 00)Meteor - 23◦W (Apr. 00) 9.77 14.19Meteor - 28◦W (May 02) 9.23 10.47Sonne - 28.5◦W (May 03)Meteor - ∼ 23◦W (May 06)Polarstern - 23◦W (Jun. 05) 22.48Meteor - 23◦W (Jun. 06) 19.41 20.17Thalassa - 23◦W (Aug. 99) 12.81 14.73Ron Brown - 25◦W (Aug. 03) 21.51 24.50Meteor - 28◦W (Aug. 04) 14.70 22.01Meteor - 24◦W (Oct. 02)Mean 13.58 (n = 8) 17.88 (n = 9)Standard Error 1.64 (n = 8) 1.56 (n = 9)

Table 1. EUC transports [Sv = 106 m3/s] in the western and central equatorial Atlantic from

cross-equatorial ship sections, for the density range σθ = 24.5− 26.8 kg/m3 and the depth range

30 − 300 m.

D R A F T January 29, 2007, 4:49pm D R A F T

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HORMANN AND BRANDT: EUC VARIABILITY X - 43

CTIθ15m CTISH500m

EUC − 35◦W -0.29 -0.53EUC − 23◦W -0.59 -0.88EUC − 10◦W -0.59 -0.58

Table 2. Correlation coefficients between cold tongue indices (CTI) and thermocline EUC

transport anomalies (JJA) from FLAME at 35◦W, 23◦W and 10◦W. 95% and 99% significance

levels are 0.51 and 0.64, respectively.

D R A F T January 29, 2007, 4:49pm D R A F T

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X - 44 HORMANN AND BRANDT: EUC VARIABILITY

Figure 1. Upper panels: Mean zonal velocity [contour interval is 10 cm/s] at 35◦W from

FLAME (left), SPFLAME (middle) and from 16 ship sections [Schott et al., 2003; Brandt et al.,

2006] (right), with layer transports [Sv = 106 m3/s] of different current branches overlaid on

potential density (thick solid lines). Lower panels: Mean zonal velocity [contour interval is 10

cm/s] at/near 23◦W from FLAME (left), SPFLAME (middle) and from 13 ship sections [Brandt

et al., 2006] (right), with layer transports [Sv] of different current branches overlaid on potential

density (thick solid lines).

Figure 2. Upper panel: Seasonal cycle of EUC transport [Sv], calculated between ±2.5◦ in

latitude and within the layer 31.5− 310.6 m, at 35◦W from FLAME (solid line) and SPFLAME

(dashed line), with standard deviation for FLAME (shaded). Marked are EUC transports [Sv]

from 15 cross-equatorial ship sections carried out at 35◦W during 1990 − 2006; indicated are

shipname (A = L‘Atalante, RB = Ron Brown, M = Meteor, L = Edwin A. Link, S = Sonne,

T = Thalassa, N = Le Noroit) and year of survey. Lower panel: Same as upper panel, but at

23◦W. Marked are EUC transports [Sv] from 9 cross-equatorial ship sections carried out between

29 − 23◦W during 1999 − 2006; indicated are shipname (SJ = Seward Johnson, M = Meteor, P

= Polarstern, RB = Ron Brown, T = Thalassa), year of survey and location.

Figure 3. Longitude-time diagrams of the annual mean zonal surface velocity [contour interval

is 10 cm/s], averaged between ±2.5◦ in latitude, from FLAME (upper panel) and the drifter

climatology by Lumpkin and Garzoli [2005] (middle panel). Lower panel: corresponding longi-

tudinal averaged seasonal cycles from FLAME (solid line), with standard deviation (dark grey

shaded), and the drifter climatology (dashed line), with standard error (light grey shaded).

D R A F T January 29, 2007, 4:49pm D R A F T

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HORMANN AND BRANDT: EUC VARIABILITY X - 45

Figure 4. Time series of 15m-temperature anomalies from FLAME (thick black line), NOAA

(thick grey line) and MW OI SST anomalies (thin black line) [◦C] within the box 20◦W - 5◦E,

6◦S - 2◦N.

Figure 5. Annual mean zonal velocity [contour interval is 10 cm/s] at 10◦W (left panel) and

3◦E (right panel) from FLAME. Marked are isopycnals σθ = 25.4 and 26.8 kg/m3 (thick solid

lines).

Figure 6. Seasonal cycle of thermocline EUC transport (dashed lines) and total eastward

transport (solid lines) [Sv] at 23◦W (upper panel), 10◦W (middle panel) and 3◦E (lower panel)

from FLAME. Transports are calculated between ±2.5◦ in latitude and between σθ = 25.4 −

26.8 kg/m3 in case of the thermocline EUC transport and above σθ = 26.8 kg/m3 in case of the

total eastward transport, respectively.

Figure 7. Longitude-time diagram of the meridional Ekman divergence between 2.5◦N and S

from FLAME. Contour interval is 1 m2/s.

Figure 8. Upper panel: Annual mean transports [Sv] across box boundaries from FLAME for

thermocline [σθ = 25.4 − 26.8 kg/m3] (black arrows) and surface layer [σθ ≤ 25.4 kg/m3] (white

arrows), with scale indicated in the figure. Upwelling [Sv] across σθ = 25.4 kg/m3, with standard

deviation, is marked in box centers, positive is upward. Lower panel: Annual mean zonal (black

dotted line), meridional (black dashed line) and total (black solid line) surface layer transport

divergence between 2.5◦N and S as well as annual mean meridional Ekman divergence between

2.5◦N and S (grey solid line) from FLAME. These transport values are cumulated westward

starting at the African coast.

D R A F T January 29, 2007, 4:49pm D R A F T

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X - 46 HORMANN AND BRANDT: EUC VARIABILITY

Figure 9. Mean June-July-August averages of 15m-temperature [contour interval is 2 ◦C] (left

panel) and steric height (relative to about 500 m) [contour interval is 4 cm] (right panel) from

FLAME. Marked is the box 20◦W - 5◦E, 6◦S - 2◦N.

Figure 10. (a): June-July-August averages of 15m-temperature anomalies from FLAME

(black line) and Reynolds’ SST anomalies (grey line) [◦C] within the box 20◦W - 5◦E, 6◦S - 2◦N.

(b): same as (a), but for steric height anomalies (relative to about 500 m) from FLAME (black

line) and T/P SSA (grey line) [cm]. (c) June-July-August averages of thermocline EUC transport

anomalies from FLAME [Sv] at 35◦W (thin solid line), 23◦W (thick solid line) and 10◦W (thick

dashed line). (d) June-July-August average of zonal wind stress anomalies from FLAME [10−2

N/m2] within the box 35◦W - 20◦W, 2.5◦S - 2.5◦N.

Figure 11. (a): Mean June-July-August zonal velocity [contour interval is 10 cm/s] (left panel),

zonal velocity anomaly [contour interval is 2 cm/s] (middle panel) and potential temperature

anomaly [contour interval is 0.3◦C] (right panel) during three warm years (1991, 1999, 2002) at

23◦W from FLAME. (b): same as (a), but for 10◦W. (c): same as (a), but for three cold years

(1990, 1992, 2001). (d): same as (c), but for 10◦W.

Figure 12. Left panels: Transport anomalies between ±2.5◦ in latitude and above

σθ = 25.4 kg/m3 at 23◦W (upper panel) and 10◦W (lower panel) from FLAME. Right panels:

Corresponding variance conserving power spectra, with 95% confidence interval (shaded).

Figure 13. Cross correlation of transport anomalies, calculated between ±2.5◦ in latitude and

above σθ = 25.4 kg/m3, at 23◦W (upper panels) and 10◦W (lower panels) with 15m-temperature

(left panels) and steric height anomalies (relative to about 500 m) (right panels) in the central

and eastern equatorial Atlantic from FLAME [95% confidence interval is 0.16].

D R A F T January 29, 2007, 4:49pm D R A F T

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HORMANN AND BRANDT: EUC VARIABILITY X - 47

Figure 14. Cross correlation lags [month] corresponding to Fig. 13, shown only for cross

correlations ≥ 2· 95% upper confidence bound and lags ≥ 0.

D R A F T January 29, 2007, 4:49pm D R A F T

Page 48: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−60

−50

−40

−40

−30

−20

−10

−10

10

10

10

20

20

30304050

0

0

0

0

25.4

26.8

−11.9 9.1 −5.4

−11.7

0.3

10.1

−3.3

2.7

FLAME − 35°W

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−50

−40

−30

−20

−20

−10

−10

10

10

10

20

40

0 0

0

0

24.5

26.8

26.8

−8.92.8

−3.8

−12.5

0.4

11.1

−2.5

2.7

SPFLAME − 35°W

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−50

−20 10

20

0

0

024.5

26.8

−11.6 5.3 −2.6

−13.2

1.3

14.6

−2.4

1.3

Obs. − 35°W

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−10

10

1010

20

3040

50

0

0

0

0

0

0

0

0

25.425.4

26.8 26.8

−4.7 4.3 −4.1 1.2

1.9

−2.7

9.4

−2.4

2.2

FLAME − 23°W

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−20

−10

−10

10

1020

30

0

0

0

00

0

0

0

0

0

24.5 24.5

26.8

−6.2 2.4 −3.8 1.8

0.8

−1.5

10.4

−2.7

2.6

SPFLAME − 23°W

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−10

10

10

200

0

0

0

0

00

0

0

0

24.5

26.8

−5.0 2.8 −3.7 2.1

4.6

−4.2

11.2

−1.8

0.7

Obs. − ~23°W

Page 49: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

jan feb mar apr may jun jul aug sep oct nov dec0

10

20

30

40

A93

RB02M94 M00

L96 M02

S03

M91

M06

T99

M04

N95

M90

M92

S00

Sv

Seasonal Cycle of the EUC at 35°W

SPFLAMEFLAME

jan feb mar apr may jun jul aug sep oct nov dec0

10

20

30

40

SJ0023°W

SJ0025.5°W

M0023°W

M0228°W

P0523°W

M0623°W

T9923°W

RB0325°W

M0428°W

Sv

Seasonal Cycle of the EUC at 23°W

SPFLAMEFLAME

Page 50: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

20°W 15°W 10°W 5°W 0 5°E 10°E

jan

feb

mar

apr

may

jun

jul

aug

sep

oct

nov

dec

−50

−40

−40

−40

−30

−30

−30−30

−20−20

−20

−20

−20

−10

−10

−10−10

0

0

0

000

00

10

1020

FLAME − Surface Velocity

20°W 15°W 10°W 5°W 0 5°E 10°E

jan

feb

mar

apr

may

jun

jul

aug

sep

oct

nov

dec

−50

−40−40

−40−40

−30

−30−30

−20

−20

−20−20

−10

−10−10

−10

−10−10

010

Drifter Climatology

jan feb mar apr may jun jul aug sep oct nov dec−60

−40

−20

0

20

u [

cm/s

]

Drifter Clim.FLAME

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1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002−2

−1

0

1

2

°C

20°W − 5°E, 6°S − 2°N

NOAAMWFLAME

Page 52: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−10

10

1020

3040

0

0

0

0

25.4

26.8

10°W

FLAME − Mean Zonal Velocity

5°S 2.5°S Eq. 2.5°N 5°N

0m

100m

200m

300m

−100

00

0 0

0

0

25.4

26.8

3°E

Page 53: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

jan mar may jul sep nov 0

5

10

15

20

25

Sv

23°W

jan mar may jul sep nov 0

5

10

15

20

25

Sv

10°W

FLAME − Seasonal Cycle

jan mar may jul sep nov 0

5

10

15

20

25

Sv

3°E

Page 54: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

35°W 30°W 25°W 20°W 15°W 10°W 5°W 0 5°E 10°E

janfeb

marapr

mayjunjul

augsepoctnovdec

−2

−1

−1

−1

0

1

2

3

3

4

4

5

5

5

6

6

6

7

7

8

8

9

9

10

10

1112

FLAME − Meridional Ekman Divergence

Page 55: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

5 Sv

25.4 < σθ ≤ 26.8

σθ ≤ 25.4

1.2±0.5

1.1±0.3

1.5±0.2

0.5±0.1

0.8±0.2

0.7±0.2

0.5±0.1

0.2±0.0

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN FLAME − Mean Box Transports

25°W 20°W 15°W 10°W 5°W 0 5°E 10°E 15°E 20°E−5

0

5

10

15

Sv

σθ ≤ 25.4 (u)

σθ ≤ 25.4 (v)

σθ ≤ 25.4

Ekman

Page 56: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

22

22

24

24

24

28

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN 15m−Temperature (JJA)

−12−8

−4−4

−4 −4

00

0

04

4

8

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN Steric Height (JJA)

Page 57: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002−1.5

−1

−0.5

0

0.5

1

1.5

°C

(a)

20°W − 5°E, 6°S − 2°N (JJA)

NOAAFLAME

1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002

−2

−1

0

1

2

cm cm

(b)

20°W − 5°E, 6°S − 2°N (JJA)

−8

−6

−4

−2

0

T/PFLAME

1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002

−4

−2

0

2

4

Sv

(c)

EUC Transport Anomaly (JJA)

35°W23°W10°W

1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002−1

−0.5

0

0.5

1

10−2

N/m

2

(d)

35°W − 20°W, 2.5°S − 2.5°N (JJA)

Page 58: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

0m

100m

200m

300m

−20−10

−1010

102030

0

0

025.4

26.8

(a) U+ − 23°W

−6

−4

−4

−4

−2

−2

−2

0

0

0

0

25.4

26.8

Ua+ − 23°W

0.30

0

025.4

26.8

θa+ − 23°W

3°S Eq. 3°N

0m

100m

200m

300m

−30−20−10

−10

1020

30

00

0

0

25.425.4

26.8

(b) U+ − 10°W

3°S Eq. 3°N

−6

−4

−4

−4

−2

−2

−2

−2

0

0

25.4

26.8

Ua+ − 10°W

3°S Eq. 3°N

0.3

0.3

0.3

0.3

0.60.925.4

26.8

θa+ − 10°W

0m

100m

200m

300m

−10

10

10

20

20

3040

0

0

0

0

25.4

26.8

(c) U− − 23°W

2

2

2

2

2

2

44

46

6

8 10

00

25.4

26.8

Ua− − 23°W

−0.6−0.3

0

25.4

26.8

θa− − 23°W

3°S Eq. 3°N

0m

100m

200m

300m

−20−10

10

1020

30

0

0

0

0

25.4

26.8

(d) U− − 10°W

3°S Eq. 3°N

−2

2

22

2

2

40

0

0

0

25.4

26.8

Ua− − 10°W

3°S Eq. 3°N

−1.2

−0.9

−0.6

−0.3

−0.3−0.3

25.4

26.8

θa− − 10°W

Page 59: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

1990 1992 1994 1996 1998 2000 2002−8

−4

0

4

8

Sv

23°W

501002000

2

4

6148.9 d

Period [d]

1010

m6 /s

2

23°W

1990 1992 1994 1996 1998 2000 2002−8

−4

0

4

8

Sv

10°W

501002000

2

4

6148.9 d

Period [d]

1010

m6 /s

2

10°W

Page 60: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

23°W −> θ15m

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

xcf 20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

10°W −> θ15m

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

23°W −> SH500m

FLAME − Cross Correlation

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

10°W −> SH500m

Page 61: Atlantic Equatorial Undercurrent and associated cold · 2016. 5. 10. · HORMANN AND BRANDT: EUC VARIABILITY X-3 1. Introduction 24 The eastern tropical Atlantic, with its characteristic

0 1 2 3 [month]

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

23°W −> θ15m

0 1 2 3 [month]

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

10°W −> θ15m

0 1 2 3 [month]

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

23°W −> SH500m

FLAME − Cross Correlation Lags

0 1 2 3 [month]

20oW 10oW 0o 10oE 20oE

15oS

10oS

5oS

0o

5oN

10oN

10°W −> SH500m