The influence of May to September sea surface temperature (SST) anomalies in the Mediterranean Sea on the West African monsoon is investigated, analyzing the outputs of numerical sensitivity experiments performed using three atmospheric general circulation models (Action de Recherche Petite Échelle Grande Échelle, European/Hamburg, and University of California, Los Angeles) in the framework of the African Monsoon Multidisciplinary Analysis project. The precipitation and atmospheric dynamics response to the SST forcing is explored, in terms of intraseasonal variability, evaluating the results from the individual models and from the multimodel mean. A positive precipitation response to warmer than average conditions in the Mediterranean Sea is found in the Sudano-Sahelian belt in August–September. The proposed dynamic mechanism underlying the Mediterranean action on the West African monsoon is based on the modifications produced by the SST forcing in the moisture content in the lower troposphere. A warmer eastern Mediterranean in August–September feeds the lower troposphere with additional moisture, with a consequent reinforcement of northerly moisture transport toward the Sahel. Furthermore, warmer SST is linked to a strengthening of the Saharan heat low and to an enhancement of the moist static energy meridional gradient over West Africa, favoring the northward displacement of the monsoonal front.
 The understanding and predictability of the West African monsoon (WAM) activity are fundamental for the Sudano-Sahelian countries, whose economies, mainly based on rain-fed agriculture, are vulnerable to climate variability. The analysis of rainfall variability at interannual and decadal time scales is therefore the basis for any short-term/long-term agricultural planning, while the correct description of the WAM seasonal cycle and of the mechanisms ruling the intraseasonal variability can be considered as the main factor to be taken into consideration for agricultural and food stock management [Sultan et al., 2005].
 The WAM activity spans over a wide range of time scales, from intraseasonal [Sultan et al., 2003] to decadal [Lebel and Ali, 2009], and is sensitive to both local forcing and remote influences. In this respect, Giannini et al.  emphasized the action of the ocean basins surrounding the African continent on the West Africa rainfall decadal trend, while Eltahir and Gong  and, more recently, Joly and Voldoire  pointed out the role of the Gulf of Guinea in the interannual modulation of the monsoonal circulation driven by the moist static energy content in the lower troposphere. Additionally, using numerical experiments, Losada et al.  described the negative impact of the positive phase of the Atlantic Equatorial mode (the so-called Atlantic Niño) on the WAM precipitation, while Raicich et al.  found a positive correlation with the Indian monsoon, through a connection with the eastern Mediterranean basin. Furthermore, the relationship with the El Nino–Southern Oscillation (ENSO) has been extensively explored, and in particular, periods of strong and weak correlations between WAM and ENSO have been identified by Janicot et al. , who showed a significant negative impact of positive ENSO phases on the WAM precipitation after the 1970s.
 The role of the Mediterranean Sea has been underestimated until the seminal work of Rowell , who found a positive correlation between the Mediterranean sea surface temperature (SST) and the WAM precipitation and explored the underlying dynamic mechanisms, finding a significant increase in the lower troposphere moisture content, advected toward the Sudano-Sahelian belt by the northeasterly flow crossing the Mediterranean. Also, Fontaine et al.  have shown that a sizable moisture advection from the Mediterranean feeds the monsoonal front. More recently, empirical and numerical studies [Jung et al., 2006; Peyrillé et al., 2007; Peyrillé and Lafore, 2007] confirmed the connection between Mediterranean and WAM, a connection intensified in recent years [Joly, 2008]. In the framework of the African Monsoon Multidisciplinary Analysis (AMMA-FP6) program [Redelsperger et al., 2006], the WAM-Mediterranean connection has been investigated using atmospheric general circulation models (AGCMs). In this context, Fontaine et al.  provided evidence that anomalous Mediterranean warm events are associated with a more intense monsoon, enhanced flux convergence and upward motion along the Intertropical Convergence Zone (ITCZ), a strengthening of low level moisture advection, and a more northward location of ascending motion in West Africa. Furthermore, they found that, in the western Mediterranean, surface temperature is statistically associated with the atmospheric deep convection over the Gulf of Guinea, while in the eastern Mediterranean the SST variability forces the atmospheric circulation over the North African subcontinent. Thus, anomalous eastern Mediterranean warm conditions are linked to a northward migration of the monsoon system accompanied by enhanced southwesterly flow and weakened northeasterly climatological wind.
 While decadal and interannual WAM variabilities have been widely investigated, the intraseasonal variability has been for a long time less documented. The day-to-day rainfall variability was first related to the African easterly wave regime [Diedhou et al., 1999; Gu et al., 2004] and to mesoscale convective systems [Mathon et al., 2002]. Then the northward installation of the WAM rainbelt has been analyzed: it can be divided into four subperiods, each composed of a pause and an active phase of precipitation, as described by Louvet et al. . Furthermore, Sultan et al.  showed that precipitation and convection are mainly modulated by 10–25 and 25–60 day periodicities. The mechanisms controlling this variability are still debated, although connections to the Madden-Julian oscillation [Lavender and Matthews, 2009] and to the intraseasonal variability of the Asian summer monsoon [Janicot et al., 2009] have been demonstrated.
 The previous cited studies on the WAM-Mediterranean relationship focused on the interannual variability at a seasonal scale. In contrast, the subseasonal scale of the interaction has not been yet documented, although the variability internal to the WAM seasonal cycle is a crucial issue. The aim of this work is hence to explore the WAM-Mediterranean covariability and connection at intraseasonal time scale, by analyzing the daily outputs from dedicated AGCM sensitivity experiments prescribing warm and cold SST anomalies over the Mediterranean and performed in the framework of the AMMA-FP6 program for exploring the impact on WAM. This analysis will allow us to investigate (1) the major subseasonal features of the WAM in response to the Mediterranean SST forcing, i.e., the monsoon onset, and the African easterly wave activity and also (2) the timing of the response of major dynamic monsoonal features, i.e., the moisture transport and divergence, the moist static energy meridional gradient, and the Saharan heat-low and African easterly jet intensity and displacement.
 In section 2 the observational evidence of the WAM-Mediterranean connection is presented; in section 3 the sensitivity experiments are described and the outputs are analyzed, depicting the impact of the SST forcing on the monsoonal precipitation and the underlying dynamic mechanisms; in section 4 the results are discussed and the conclusions are drawn.
 In this section the observed WAM-Mediterranean field relationship in the period 1979–2007 is first presented through a singular value decomposition (SVD) analysis [von Storch and Zwiers, 1999] of Mediterranean skin temperature and precipitation fields over West Africa at the interannual time scale. The SVD approach is used in order to identify covariance modes between surface conditions over the Mediterranean and the WAM activity. Then a few basic associated signals in atmospheric dynamics are analyzed using composite analyses of wind and specific humidity to highlight the statistical relationship.
 We use the rainfall data from the Climate Prediction Center Merged Analysis of Precipitation (CMAP) [Xie and Arkin, 1997] and Global Precipitation Climatology Project (GPCP) [Xie et al., 2003] and the atmospheric variables from the NCEP-DOE AMIP-II Reanalysis (R-2) [Kanamitsu et al., 2002]. The CMAP and GPCP data are obtained as a merging of rain gauge observations and satellite estimations. Monthly and pentad values are available from 1979 to 2008, on a global domain at 2.5° resolution starting from (1.25°E, 88.75°S). The R-2 data set is derived from the NCEP-NCAR Reanalysis, and it contains a wide range of atmospheric variables obtained as a merging of in situ and satellite observations and modeling. Monthly, daily, and 6 h values are available from 1979 to present, on a global domain at different resolutions (2.5° regular grid and T62 Gaussian grid) and vertical levels (pressure and “sigma” levels).
2.2. SVD Analysis
 The SVD analysis has been performed between skin temperature over the Mediterranean basin (10°W–40°E, 30°N–45°N) and WAM precipitation over the 0°–15°N belt in May–June (MJ) and the 5°N–20°N belt in July–September (JAS). Different precipitation domains have been chosen in order to follow the meridional migration of the rainbelt embedded in the ITCZ, which is positioned along the coast of Guinea (5°N) in May–June and abruptly shifts in late June to 10°N (preonset and onset phases) [Sultan and Janicot, 2003]. After the onset phase, in JAS, precipitation and convection persist over the Sudano-Sahelian belt [Gu and Adler, 2004]. In order to give the same weight to the different parameters describing the phenomenon and to focus on the interannual variability, we applied the SVD analysis to the standardized data after removing any linear trend at each grid point in the domains.
 In May–June, the first SVD mode (Figures 1a and 1b) explains only 33% of the squared covariance fraction (SCF), although the correlation between the time series of the expansion coefficient (ECs) is high and significant (r = 0.65): negative anomalies of surface temperature in the eastern Mediterranean are related to negative precipitation anomalies along the coast of Guinea and positive anomalies inland, but the pattern shows low significance. By contrast, in JAS, the pattern is largely significant: the first SVD mode (Figures 1c and 1d) explains 59% of the SCF and the correlation between the EC time series is r = 0.64, indicating that warmer temperatures in the eastern Mediterranean are related to a wetter Sudan-Sahel. Thus, a significant statistical relationship exists between surface temperatures in the Mediterranean and precipitation over West Africa on an interannual time scale: this relationship is active in JAS, when the monsoon is fully developed inland. However, part of the WAM-Mediterranean common variability can be ascribed to the Indian monsoon circulation that affects both the eastern Mediterranean basin [Raicich et al., 2003] and the North African summer circulation [Chen, 2005]. The modeling approach described in this work is helpful in determining and quantifying the direct action of the Mediterranean on the WAM variability.
2.3. Atmospheric Dynamics in July–September
 In order to investigate the atmospheric dynamics associated with the statistical WAM-Mediterranean relationship, we analyze the wind and humidity composite difference between the warm and cold situations in the Mediterranean, identified using the skin temperature EC time series of the first SVD mode in JAS. The time series is divided into terciles, with the cold (warm) years in the first (third) tercile (Table 1) to amplify the skin temperature anomaly pattern in the first SVD mode, which explains the highest fraction of covariance.
Table 1. Warm and Cold July–September in the Mediterranean Computed Using the Expansion Coefficients (ECs) of the First SVD Mode Skin Temperature Patterna
Warm Mediterranean (ECs 3rd Tercile)
Cold Mediterranean (ECs 1st Tercile)
The years are sorted from the warmest and the coldest.
 In the lower troposphere, the JAS mean wind field (Figure 2a) is characterized by a clear monsoonal southwesterly flow penetrating from the Gulf of Guinea inland into West Africa, while an anticyclonic (a cyclonic) circulation occurs over the western (eastern) Mediterranean. These inverse cells are associated with a northeasterly flow crossing the Sahara desert, limiting the inland penetration of the WAM but feeding the intertropical front (ITF) convergence. In the upper troposphere, the circulation contrasts the extratropical westerlies and the easterlies in the Tropics (Figure 2b). Composite results in Figure 2c show that a warmer Mediterranean has an impact on the wind field in the lower troposphere, enhancing both the northeasterly flow from the eastern Mediterranean and the southwesterly flow from the Atlantic Ocean. This mechanism increases the flux convergence and the cyclonic circulation in the eastern part of North Africa, around 20°N, while a significant southwesterly flow is observed at a latitude of 10°N. In the upper troposphere, a weakening of the westerly flow along the Mediterranean coast of Africa and a strengthening along the Alps are observed (Figure 2d). This is consistent with the correlation between the midlatitude jet stream variability and the occurrence of anomalous summers in the Mediterranean [Baldi et al., 2006].
 The JAS atmospheric moisture field is displayed at 850 hPa because specific humidity is higher close to the surface (Figure 3a). It shows a maximum in the Tropical belt and a minimum over the Sahara desert. Moisture is transported toward the monsoonal front by the southwesterly flow from the Atlantic and across the desert from the Mediterranean (Figure 3b). The warm-cold composite (Figure 3c) displays significant positive humidity anomalies over the Mediterranean basin, due to enhanced evaporation from the warmer sea surface, and more southward along the monsoonal front. Thus, additional moisture is available for precipitation where northeasterlies and southwesterlies converge (Figure 3d), while the enhanced southwesterly moisture transport from the Atlantic Ocean is able to feed the rains on the western coast of North Africa (Figures 3c and 3d).
 The picture described in section 2 is fully consistent with other studies [Rowell, 2003; Raicich et al., 2003; Jung et al., 2006; Fontaine et al., 2010] showing that a warmer Mediterranean Sea is favorable to the Sudan-Sahel precipitation. In this section we discuss the potential impact of Mediterranean SST anomalies on the intraseasonal variability over the WAM region in May–September, by analyzing the daily outputs from the AMMA-FP6 numerical sensitivity experiments performed forcing the AGCMs with prescribed warm and cold SST anomalies over the Mediterranean Sea.
3.1. Sensitivity Experiments and Analysis Methodology
 The numerical sensitivity experiments simulating normal conditions and warm-cold anomalies over the Mediterranean Sea have been performed using three AGCMs: (1) ARPEGE-CLIMAT [Déqué et al., 1994] version 3, at T42 Gaussian resolution with 45 vertical levels, run at CNRM (National Center for Meteorological Research, France); (2) European Center/Hamburg (ECHAM) [Roeckner et al., 1996] version 4, at T30 Gaussian resolution with 32 vertical levels, run at ENEA (National Agency for New Technologies, Energy and Sustainable Economical Development, Italy); (3) University of California, Los Angeles (UCLA) model [Richter et al., 2008] version 7.3, at 2.5° × 2° longitude-latitude resolution and 29 vertical levels, run at UCM (Complutense University of Madrid, Spain).
 The control experiments have been performed forcing the models with the 1979–2005 observed global SST climatology, while warm and cold experiments have been performed adding anomalous Mediterranean SST patterns to the observed SST climatology. The SST anomaly patterns have been constructed using the expansion coefficients of the leading extended maximum covariance mode between the WAM monthly precipitation (CMAP) and the Mediterranean monthly SST (NOAA Extended Reconstructed SST) [Smith and Reynolds, 2004] on the period 1979–2005, as described by Polo et al. . This mode shows a strong positive relationship between the Sahelian precipitation and the spring to summer evolution of the eastern Mediterranean SST; therefore, warm-cold SST composites were computed by averaging years for which the SST-precipitation coupling was maximal, i.e., choosing those years in which the SST and precipitation ECs are higher than 1 standard deviation (1984, 1987, 1991, 1992, 1997) and those in which the expansion coefficients are less than −1 standard deviation (1979, 1994, 1999, 2001). The May–October monthly SST anomaly fields used to force the warm experiments are shown in Figure 4. For each model and each experiment (control, warm, cold) we use 10 simulations, for a total of 10 × 3 × 3 = 90 simulations from 15 April to 15 October, following the Atmospheric Model Intercomparison (AMIP) protocol [Gates, 1993], with initial conditions taken from years 1979–1988. We have to specify that using a prescribed SST as a lower boundary condition implies that the sea acts as an infinite reservoir of heat capacity and this tends to damp the surface heat fluxes and therefore to decrease the amplitude of the results.
 We analyzed the outputs of each individual model and the multimodel mean (ensemble mean). In order to limit the influence of model biases, for each model the control run is subtracted from the sensitivity experiment before computation of the warm-cold ensemble-mean anomalies. Because of differences in model horizontal resolution, the ensemble mean is computed after linear interpolation of the individual model outputs over a 2.5° resolution grid, with the starting point at (0°E, 0°N). In order to describe the impact of the thermal anomalies in the Mediterranean Sea on the WAM at a subseasonal time scale, the differences between warm and cold simulations are computed and the results are displayed in time-latitude diagrams. The purpose of this approach is the determination of the timing of the relationship and the amplitude of the WAM modifications in terms of latitudinal position, exploiting the quasi-zonal displacement of the monsoonal front. The intraseasonal variability is investigated after filtering the daily outputs using a Butterworth low-pass filter [Murakami, 1979] with a 10 day cutoff, in order to remove the synoptic variability.
3.2. WAM Seasonal Cycle in Control Experiments
 In order to evaluate the model capability to simulate the WAM seasonal cycle, we discuss the time-latitude diagrams of the May–September precipitation averaged between 10°W and 30°E (Figure 5), for each model, for the ensemble mean, and for the observations (CMAP and GPCP rainfall estimates). In addition, the seasonal evolution of the zonal wind at 850 and 600 hPa in the models is compared to R-2, in order to verify the correct description of the main dynamic features associated with the WAM. The simulation outputs are compared with the 1979–1988 observations after filtering the daily model outputs and the R-2 data using a 10 day low-pass filter, while the CMAP and GPCP pentad data are filtered using a 2.5 pentad low-pass filter.
 Observed rainfall data (Figure 5e and 5f) show clearly the installation of the WAM, following the seasonal meridional migration of the ITCZ, through a sequence of active phases and pauses [Louvet et al., 2003]. In May and June the maximum of the rainbelt is located around 5°N, and after a pause in late June/early July, it shifts northward to around 8°/10°N, until mid September. In August, at the peak of the monsoonal season, the northernmost edge of the rainbelt is around 18°N. The two data sets show similar rainfall amounts in JAS, although CMAP values are larger than GPCP values in May–June. The ARPEGE model (Figure 5a) reproduces the WAM seasonal cycle: with comparable rainfall amounts in June–September, it overestimates rainfall in May and it shows, in early June, an anticipation of the pause occurring before the inland installation of the monsoon. The ECHAM model (Figure 5b) generally underestimates the JAS rainfall: with higher amounts in May–June, it does not reproduce the pause in June, and it shows a progressive northward penetration of the monsoon (with no abrupt northward shift), while the retreat in September is not well reproduced. By contrast, the UCLA model (Figure 5c) largely overestimates the observations, simulates a pause before the inland shift in mid June, and locates the JAS rainfall maximum around 12°N. However, observations are partly reproduced in the ensemble mean (Figure 5d), since the UCLA and ARPEGE model overestimations well balance the too-weak signal coming from the ECHAM model.
 The observed 850 hPa zonal wind shows the change in the low-level circulation from the easterly regime to the westerly monsoonal flow in June, up to 15°N and with a maximum at the peak of the rainy season in July–August (Figure 6i). The ensemble-mean reproduces the seasonal cycle and the intensity of the westerly flow (Figure 6g), except in May, when positive values are observed as a consequence of the ARPEGE and UCLA anticipations of the flow change (Figures 6a and 6e). ECHAM produces a weak monsoonal flow, balanced in the ensemble mean by the large UCLA overestimation (Figures 6c and 6e).
 In the mid troposphere, the circulation is dominated by the African easterly jet (AEJ), generated by the meridional thermal gradient between the Equatorial Africa moist surface and the dry and hot Sahara desert. In boreal summer the AEJ, fully developed around 600 hPa between 10°N and 15°N, blows from 30°E to the Atlantic coast and concentrates rainfall maxima on its southern flank [Cook, 1999]. The observed seasonal cycle (Figure 6j) is quite well reproduced in the ensemble mean (Figure 6h), even if the mean position is northward shifted because of the ECHAM and UCLA responses (Figures 6d and 6f). Also, the intensity is underestimated due to the ARPEGE and ECHAM weak responses (Figures 6b and 6d).
3.3. WAM Precipitation and Onset Dates
 The ensemble-mean response of model precipitation to SST forcing over the Mediterranean Sea is now presented through time-latitude diagrams of the warm-cold composite (Figure 7). The rainfall is averaged in two zonal domains, (10°W–10°E) and (10E°–30°E), after removing the synoptic variability (<10 days). The longitudinal domains have been chosen in order to separate the region in which the sea-land thermal gradient and the monsoonal circulation develop approximately in the meridional direction (west of 10°E). We first verify that, as in the observations [Sultan et al., 2003], the individual simulations present a typical 15 day variability around 5°N in May–June and around 10°N in JAS, since out-of-phase combinations in ensemble means and composites tend to suppress intraseasonal periodicities (Figure 7). Rainfall anomalies are often positive, from May to September, from the equator to 20°N, with significant wet differences over western Sudan-Sahel in August–September (Figure 7a, Table 3), also observed in each individual model, and eastward in late July, August, and September (Figure 7b, Table 3): the mean response is here dominated by the UCLA model (not shown).
 The WAM onset has been defined by Sultan and Janicot  as the abrupt latitudinal shift of the ITCZ from its quasi-stationary May–June position around 5°N to the JAS quasi-stationary position around 10°N. Using outgoing longwave radation (OLR) data in the period 1968–1990, they found that the WAM onset occurs in mean on 24 June, with an 8 day standard deviation (STD). Moreover, the end of June has been confirmed as the period for the mean occurrence of the WAM onset by Fontaine et al. , using another OLR-based methodology, and by Dalu et al. , using a hydrological index. A precipitation-based onset index has been also developed by Fontaine and Louvet . They defined a northern index (NI) by averaging the precipitation in the domain (10°W–10°E, 7.5°N–20°N) and a southern index (SI) in the domain (10°W–10°E, 0°–7.5°N), and a WAM onset index (WAMOI) as the standardized NI minus SI difference, after eliminating the synoptic variability using a 15 day low-pass Butterworth filter. WAMOI increases (decreases) when the rainbelt migrates northward (southward) and the onset date is defined as the first pentad of a 20 day (or longer) period registering positive values of WAMOI, in order to determine a robust installation of the rainfall north of 7.5°N. Using the CMAP and GPCP pentad data, they found 28–29 June with an 8.5 day STD as the mean onset date for the period 1979–2004.
 The onset dates in numerical simulations are estimated using the WAMOI (Table 2). The WAMOI is computed for each run, and then the mean and STD are computed. It is worth noting the substantial agreement between the models despite a general anticipation of the onset date: 18 June for the control run ensemble mean, with a 5.9 day STD. WAM onset dates in sensitivity experiments are delayed in both warm and cold simulations, with a “warm onset” occurring later than a “cold onset”. In the ARPEGE model the mean onset occurs earlier than in the ECHAM and UCLA models, but the shifts are not significant, except for a later “warm onset” in the UCLA model (29 June with 5.3 day STD). The ensemble mean shows no significant difference between the warm and cold simulations.
Table 2. WAM Onset Dates and Standard Deviations in the Mediterranean Experiments, for Control Run, Warm, and Cold Experimentsa
The UCLA warm-control onset difference is 90% significant after a Student's t test (bold).
18 Jun (6.8)
20 Jun (9.6)
23 Jun (3.4)
18 Jun (5.9)
22 Jun (5.2)
28 Jun (20.2)
29 Jun (5.3)
20 Jun (4.5)
21 Jun (8.7)
25 Jun (11.1)
26 Jun (6.5)
20 Jun (5.2)
3.4. Atmospheric Dynamics
3.4.1. Low and Mid Troposphere Circulation
 The low troposphere circulation over the Mediterranean/North Africa region in summer is under the influence of the Azores system [Meteorological Office, 1962; Lionello et al., 2006], which produces an anticyclonic circulation to the west centered over the Maghreb, and the influence of the Indian monsoon [Rodwell and Hoskins, 2001], which produces a cyclonic circulation and an equatorward flow to the east over the Middle East and the Levantine basin (Figure 2a). This northerly wind regime, known as Etesian or Meltemi [Meteorological Office, 1962], is the geostrophic wind produced by the pressure gradient between the eastern and western Mediterranean. It can be considered as the local low-level branch of the northern Hadley meridional circulation connecting the Mediterranean basin and the ITCZ over Africa. Raicich et al.  found statistical evidence that the Etesian wind regime teleconnects the Indian monsoon and the Sahel monsoonal rainfall. Computing the Mediterranean pressure index (MPI) as the sea level pressure (SLP) standardized difference at the stations of Mersa Matruh (Egypt) and Marseille (France), i.e., between the cyclonic and anticyclonic circulations, they showed that when the Indian monsoon is stronger than normal, a negative SLP anomaly affects the eastern Mediterranean, enhancing the Mediterranean pressure gradient and reinforcing the northerly flow east of 15°E. The consequent strengthened northerly flow favors change in low-level convergence over the Sahel with the contribution of the strengthening of the southwesterly monsoonal flow. We hypothesize that the prescribed SST anomalies over the Mediterranean Sea have a sizable influence on the Mediterranean SLP, modifying the circulation in the lower troposphere. In order to assert it, we compute the MPI as the difference between the SLP in the eastern basin (15°E–35°E, 30°N–40°N) and the SLP in the western basin (5°W–15°E, 35°N–45°N). Similar indices have been used in the past as representative of the differences in the behavior of the eastern and western Mediterranean, in terms of temperature field and hydrological cycle [Conte et al., 1989; Palutikov et al., 1996; Palutikov, 2003]. In our case a negative value of the index, corresponding to a negative pressure gradient toward the eastern Mediterranean, is related to a northerly wind. The behavior of the MPI is strongly related to the seasonal evolution of the SST forcing field, in which the eastern basin is warmer than the western (Figure 4). In warm-cold composites from the ensemble mean (Table 3), the MPI anomaly shows negative values in JAS, with significant values in the first half of September. In individual models, MPI warm-cold composites are significantly negative in June–July (UCLA model) and in September (ECHAM model), while the ARPEGE model produces a significant positive anomaly in late August (not shown). Such an increased pressure gradient is related to reinforced convergence in the Sahelian belt. Indeed, even though the MPI anomaly is significant only at the beginning of September, the dynamic response in the ensemble mean is sizable from August to mid September, with significant convergence anomalies at 850 hPa over the eastern Sahel (Table 3).
Table 3. Warm-Cold Differences: July–September Evolution of the Main Indices Used in the Text and Averaged Over 15 Day Subperiodsa
Precipitation is averaged in (10°N–20°N); 850 hPa divergence is averaged in (15°N–25°N); 850 hPa moisture is averaged in (15°N–30°N). The western domain is between 10°W and 10°E; the eastern domain is between 10°E and 30°E. Bold values are 90% significant after a Student's t test.
Western Sudan-Sahel precipitation (mm/day)
Eastern Sudan-Sahel precipitation (mm/day)
Eastern Sudan-Sahel DIV (10−6 s−1)
Eastern Sudan-Sahel DIV(VIMT) (10−6 m/s)
Western Sahara-Sahel moisture (g/kg)
SHL thickness (m)
SHL migration (direction)
Sahel-Atlantic MSE gradient (m2/s2)
 A warmer Mediterranean Sea suggests the presence of additional moisture coming from the increased evaporation, mainly located in the lower troposphere. This statement is verified computing the time-latitude diagram of the specific humidity at 850 hPa for the warm-cold composite. In the ensemble mean, moisture anomalies are positive in both the western and eastern domains, from May to September. West of 10°E, this is mainly observed between 20°N and 40°N from mid July to mid September and between 10°N and 20°N in August–September (Figure 8a, Table 3). East of 10°E, this occurs over the eastern Mediterranean over the whole season and between 15°N and 30°N from late June to September (Figure 8b).
where q is the specific humidity, U is the vector wind, p is the pressure, g is the gravity acceleration, and ρ is the air density, considered constant in the lower levels (ρ = 1 kg/m3). The warm-cold differences of the VIMT divergence show that there is no strong coherency over the western domain, except for a significant convergence anomaly around 20°N at the turn of August/September (Figure 8c), while over the eastern domain we notice a divergence above the Mediterranean Sea from May to September and a significant convergence anomaly (Figure 8d, Table 3) over the Sahel from late July to mid September.
 The role of the moisture transport from the Mediterranean in determining the convergence anomalies in the Sahel is discussed through the warm-cold differences of the 850 hPa wind and VIMT fields, averaged in 15 day subperiods between July and September (Figure 9). When the VIMT field is considered, a persistent anomalous northerly flow from the eastern Mediterranean reaches the eastern Sahel, with maxima in the first half of August and September (Figures 9f and 9j). Furthermore, a reinforced southwesterly flow from the Atlantic ocean in August–September (Figures 9f, 9h, 9j, and 9l) contributes to the anomalous moisture convergence in the eastern Sahel (Figure 8d). On the other hand, significant wind anomalies in the southwesterly flow from the Atlantic are observed, while the northerly wind from the Mediterranean is unchanged or reduced (Figures 9e, 9g, 9i, and 9k). Therefore, the moisture transport from both the Atlantic Ocean and the Mediterranean Sea contribute to the convergence over the Sahel, the former reinforced by the increased wind field, the latter by the augmented specific humidity.
 The AEJ changes induced by the SST forcing are shown through the 600 hPa zonal wind warm-cold differences averaged between 10°W and 30°E, displayed in Figure 10. From mid July to September, negative differences are observed between 15°N and 20°N, with significant values in late July, mid August, and September showing that when the Mediterranean is warmer than average, the AEJ is shifted northward.
3.4.2. African Easterly Waves (AEWs)
 At synoptic scale, the West African convection is modulated by the AEWs (3–5 and 6–9 day periodicities, around 5°N and 15°N, respectively), during the boreal summer, mainly in August–September [Diedhou et al., 1999]. We use the variance of the 700 hPa meridional wind filtered at 2–10 days [Sylla et al., 2010] as a descriptor of the wave activity, and we test the effect of Mediterranean SST anomalies on the AEWs in August–September, after evaluating the numerical capability to reproduce AEW mean activity. In fact, the ARPEGE and UCLA models reproduce part of the observed AEW features. In August, the ensemble-mean signal is in the lee of the Ethiopian plateau and of the Ahaggar massif (Figures 11a and 11c), while in September it is generally weaker and shifted southward to 5°N and northward to 20°N, respectively (Figures 11e and 11g).
 The model responses have been evaluated through the “one model one vote” concept [Santer et al., 2009]. It consists of computing over the successive 15 day subperiods of the bimonth August–September the number of positive/negative occurrences in warm-cold differences, for each model and each run, 3 × 10 = 30 events. Therefore, the wave activity response can be defined by calculating, at each grid point, a simple score ranging either between +16 and +30 or between −16 and −30: +16 (−16) means that 16 models out of 30 simulate an increasing (a decreasing) signal in wave activity, and +30 (−30) means that all models produce an excess (a deficit) in this activity. The significance is then evaluated considering the field response in each subperiod: the response is significantly positive (negative) in the subperiod if the percentage of positive (null or negative) grid points in the field is significantly greater than 50% regarding a binomial distribution with only 30 degrees of freedom (confidence interval [33% 66%]). The ensemble warm-cold differences show a significant positive response (71% of positive occurrences) in the first half of August, with a large belt of increased wave activity between 5°N and 25°N (Figure 11b). Notice also that after mid August the global field significance decreases (59%) except in the western domain, where the wave activity continues (Figure 11d). By contrast, in September (first and second half field significance 53% and 41%, respectively) and over the eastern domain (Figures 11f and 11h), this activity tends to augment in consistency with increased convergence over the eastern Sahel (Table 3).
3.5. WAM Energetics
 Model responses to a warmer Mediterranean produce a moisture transport over the Sahara toward the Sahel in August–September (Figure 8, Table 3), affecting the energy budget of the monsoon. Over the Sahara desert, the circulation is influenced by the shallow dry convection related to the diabatic heating in the Saharan heat low (SHL) in the low troposphere and by the Saharan high related to the diabatic cooling at higher levels. This circulation contributes to the maintenance of the AEJ through the Coriolis acceleration associated with the divergent northerlies flowing between the SHL and the Saharan high [Chen, 2005]. Furthermore, it is important to evaluate the moist static energy (MSE) meridional gradient near the surface which forces the monsoon circulation and its inland excursion, since, as shown by Eltahir and Gong , a stronger (weaker) gradient drives stronger (weaker) monsoonal circulation and northward excursion. In this section we discuss the position and thickness of the SHL and the MSE meridional gradient at 1000 hPa over West Africa in the warm-cold composites.
Lavaysse et al.  studied the SHL behavior by computing the geopotential height differences between two levels (700 and 925 hPa) and detected its location by searching the maximum, i.e., where the thermally induced dilatation of low atmospheric levels is largest. In summer the SHL climatological position is between the Ahaggar and the Atlas. The warm-cold differences observed in the ensemble mean show a general northeastward migration with significant values during particular subperiods of the rainy season: up to 5° in longitude in late July, up to 7° in longitude and 7° in latitude in late August, and up to 8° in longitude in late September (Figure 12a, Table 3). This is associated with a significant thickness increase in August–September (Figure 12b, Table 3). The changes in the SHL are consistent with the northward shift and intensification of the AEJ (Figure 10) and with a more inland penetration of the monsoonal front and consequent wet anomalies over western Sahel (Figure 7a).
 The MSE is defined as
where z is the geopotential height, Cp is the specific heat of dry air at constant pressure, T is the temperature, L is the latent heat of evaporation, and q is the specific humidity. Regional contents are estimated by averaging the MSE at 1000 hPa over four domains: Atlantic (15°W–15°E, 0°N–5°N), Guinea (15°W–15°E, 5°N–10°N), Sudan (15°W–15°E, 10°N–15°N), and Sahel (15°W–15°E, 15°N–20°N). Differences between these adjacent domains are computed following the northward direction in order to approximate the MSE meridional gradient between the main belts: the Atlantic and the Guinean domains (Guinea-Atlantic difference), the Guinean and Sudanian regions (Sudan-Guinea), and the Sudanian and Sahelian belts (Sahel-Sudan). In the ensemble mean, warm-cold differences in the Guinea-Atlantic gradient are weak (Figure 13d). By contrast, the MSE gradients are reinforced, while northward, in JAS, with significant values from mid August to mid September (Figures 13b and 13c). This is also observed when the land-sea contrast is taken into consideration: the Sahel-Atlantic MSE differences augment in July and are significant in early August (Figure 13a, Table 3). Those reinforcements, directly linked to a warmer Mediterranean, are a consequence of the moisture supply provided over the western domain in August–September (Figures 8a and Figure 9) and are consistent with the intensification of the precipitation in August–September (Figure 7a). Since the positive moisture anomaly peaks around 15°N, the reinforced Sudan-Guinea MSE gradient is also larger than local anomalies.
4. Summary and Conclusions
 In the present paper we explored the seasonal cycle of the WAM-Mediterranean relationship and focused on the intraseasonal variability using the R-2 surface and atmospheric variables, the CMAP and GPCP rainfall estimates, and results from numerical forced experiments performed using three AGCMs: ARPEGE, ECHAM, and UCLA.
 The observed WAM-Mediterranean interannual relationship over the period 1979–2007 has been investigated by analyzing the Mediterranean surface temperatures, the rainfall over West Africa, the specific humidity, and the wind field in order to better understand the associated atmospheric dynamics. The first SVD mode confirms the statistical relationship between the two domains mainly when the monsoon is fully developed over the Sudano-Sahelian belt. The warm-cold composites show that a warmer eastern Mediterranean produces a low-pressure anomaly near the surface and feeds the lower troposphere with moisture: this generates an SLP gradient between the eastern and western basins which reinforces the low-level northeasterly geostrophic flow toward the Sahara, transports additional moisture, and favors moisture convergence in the WAM area along with its inland penetration from the Atlantic. According to Rowell , Raicich et al. , Jung et al. , and Fontaine et al. , a warm Mediterranean Sea positively affects the monsoonal precipitation over the Sudano-Sahelian belt in July–September.
 The May–September model outputs of experiments with prescribed warm/cold SST anomalies over the Mediterranean have been also analyzed, showing a seasonal modulation: the second half of the monsoon season (August–September) is more affected by the Mediterranean SST anomalies. In short, the succession of events is as follows. Warmer SSTs over the Mediterranean generate in July positive moisture anomalies due to increased evaporation. These anomalies reinforce in August and September, and the higher moisture amount is advected by the northerlies (Etesian winds) across the Sahara desert toward the eastern Sahel. Moisture convergence over the monsoonal region is thus thermodynamically reinforced, with the contribution of a strengthened southwesterly monsoonal flow, while enhanced convection increases the AEW activity across the Sudano-Sahelian belt in August. Over the western Sahel the behavior of the SHL and of the MSE meridional gradient have been also analyzed since part of anomalous moisture reaches West Africa north of 10°N after mid August, which affects the SHL and the MSE low-level content. The response is a reinforcement and a northward shift of the SHL and an increase of the MSE gradient between the Sudan-Sahel and the Guinea coast, favoring rainfall excess in western Sahel. The resulting northward shift of the AEJ, consistent with the meridional displacement of the rainbelt, is related to changes in divergent circulation between the SHL and the Saharan high. Thus, in the eastern Sahel the rainfall anomalies from late July to the end of September are related to the additional moisture available, which is advected from the Mediterranean, and to the dynamic reinforcement of the monsoonal front. In the western Sahel rainfall excesses from early August to the end of September are related to the more inland penetration of the WAM rainbelt, with the additional moisture producing here a clear northward shift of the monsoon air.
 The simulated monsoonal precipitation and dynamic responses in the models are closely linked to the SST forcing evolution but are not synchronous. Anomalies in the MPI start in July, when the eastern Mediterranean basin is slightly warmer than the western basin. Interestingly, they do not reach any significant values before September, i.e., when the east-west SST gradient is stronger, although the convergence effects in the eastern Sudan-Sahel are sizable from the beginning of August. A difference between observations and simulations arises: in the R-2 data, warm Mediterranean anomalies are liked to a significant intensification of the Etesian winds and moisture transport from the Mediterranean, while in the sensitivity experiments the northerly moisture transport is strengthened by the additional moisture availability, with no significant changes in the wind from the Mediterranean. Changes in the R-2 northerly wind are consistent with the MPI-Etesian dynamics observed by Raicich et al. , and they can be related to the variability of the Indian monsoon circulation, while moisture transport anomalies are directly related to the warming of the Mediterranean Sea. This feature is confirmed by the sensitivity experiments, in which the Mediterranean forcing is not capable of inducing significant changes in the MPI, whereas it supplies additional moisture, inducing large anomalies in the northerly moisture transport. Therefore, we make the hypothesis that rainfall anomalies in eastern Sudan-Sahel occur in late July as a consequence of the moisture-Etesian dynamics, while in western Sudan-Sahel they occur in early August in relation to this additional moisture transport favoring the inland penetration of the monsoon, through the intensification of the SHL and the reinforcement of the MSE meridional gradient. The contemporary strengthening of the southwesterly monsoonal flow suggests that the Mediterranean Sea acts positively on the Sudan-Sahel precipitation when the thermodynamic processes are fully developed inland in the monsoon air.
 NCEP Reanalysis data were provided by the NOAA-CIRES ESRL/PSD Climate Diagnostics branch, Boulder, Colorado, USA (http://www.esrl.noaa.gov/). The GPCP data were developed and computed by the NASA/Goddard Space Flight Center's Laboratory for Atmospheres as a contribution to the GEWEX Global Precipitation Climatology Project. CMAP Precipitation data were provided by the NOAA/OAR/ESRL PSD, Boulder, Colorado, USA, from their Web site at http://www.esrl.noaa.gov/psd/. This study was supported by the TELEMEDAF (Italian CNR/French CNRS joint project) and by the European Union AMMA-FP6 project. Based on the French initiative, AMMA was built by an international scientific group and is currently funded by a large number of agencies, especially from France, the United Kingdom, the United States, and Africa. It has been the beneficiary of a major financial contribution from the European Community's Sixth Framework Research Programme. (Detailed information on scientific coordination and funding is available on the AMMA International Web site, http://www.amma-international.org.)