1538 Decadal changes in surface carbon dioxide and related variables in the Mediterranean Sea as inferred from a coupled datadiagnostic model approach Ferial Louanchi, Meriem Boudjakdji, and Lamri Nacef Louanchi, F., Boudjakdji, M, and Nacef, L. 2009. Decadal changes in surface carbon dioxide and related variables in the Mediterranean Sea as inferred from a coupled data-diagnostic model approach. – ICES Journal of Marine Science, 66: 1538 – 1546. A coupled approach based on available datasets of temperature, salinity, oxygen, nutrients, and chlorophyll, and a surface layer box model previously developed and modified for the present study, allowed us to reconstruct dissolved inorganic carbon (DIC), total alkalinity, and carbon dioxide fugacity ( fCO2) mixed-layer fields for the Mediterranean Sea, from the 1960s to the 1990s. The approach used in this study resulted in a 7% relative error on reconstructed surface fCO2 fields. The Mediterranean Sea transformed from a source of 0.62 Tg C year21 for atmospheric CO2 in the 1960s, to a net sink of 21.98 Tg C year21 in the 1990s. The annual cycle in surface fCO2 was driven mainly by temperature variations in the Mediterranean Sea, whereas its decadal variations resulted from a balance between primary production and the thermal effect. According to our model results, the atmospheric CO2 increase of 40 matm over the period of our investigation induced an increase in DIC of 30 mmol l21 in surface waters. A 50% reduction in the magnitude of seasonal variations in surface temperature occurred during the 1990s relative to the earlier decades. Therefore, surface fCO2 only increased by 24 matm from the 1960s to the 1990s. Changes in pH were not significant over this period. Keywords: air– sea CO2 fluxes, carbon dioxide, decadal variability, exported production, Mediterranean Sea, primary production. Received 15 August 2008; accepted 8 February 2009; advance access publication 17 April 2009. F. Louanchi and M. Boudjakdji: Ecole Nationale Supérieure des Sciences de la Mer et de l’Aménagement du Littoral (ex-ISMAL), Bois des cars, Dely-Brahim, 16320 Algiers, Algeria. L. Nacef: Office National de la Météorologie (ONM), Dar El Beida, Algiers, Algeria. Correspondence: F. Louanchi: tel/fax: þ213 21 91 77 90; e-mail: [email protected]. Introduction The global ocean is well known as a net sink for carbon dioxide, absorbing 30 –40% of the anthropogenic atmospheric CO2 released every year (Mikaloff Fletcher et al., 2006). It has also been demonstrated that the penetration of anthropogenic carbon into the sea results in surface ocean acidification (Orr et al., 2005), which can have drastic consequences for marine ecosystems. In this general context, the Mediterranean Sea is an interesting region for studying climate change effects on the ocean. The general circulation in the Mediterranean Sea is one of three zones of deep and intermediate water formation (CIESM, 2002), which contribute to the penetration of anthropogenic carbon. The Mediterranean Sea’s 100-year water mass turnover is faster than that of the global ocean, which implies a rapid response to climate variability and change (Béthoux et al., 1999). As a semi-enclosed area, the Mediterranean Sea is also highly influenced by other anthropogenic activities, such as eutrophication, which affects the biogeochemical cycles and the foodweb. The in situ observations conducted in the Mediterranean Sea over past decades have already demonstrated a change in the marine biology and chemistry, which seem to be linked to climate and environmental change (Béthoux, 1989; Caddy et al., 1995; Béthoux et al., 1998, 2002; Malanotte-Rizzoli et al., 1999; CIESM, 2002; Marty and Chiavérini, 2002). However, little is known about the role of the Mediterranean Sea as a source or a sink of CO2 over the past few decades, nor whether its carbon cycle has changed over time. In fact, only a few measurements of carbon exchange have been conducted from the 1960s to the 1990s. Some measurements of total alkalinity (TA) and pH collected during the 1980s are available. These data were acquired before the release of Dickson CRM (certified reference material; DOE, 1994). Several intercomparison exercises performed during the 1980s revealed large discrepancies in measured alkalinity among laboratories, sometimes up to 30 meq l21. Moreover, using these two variables to calculate carbon dioxide fugacity, fCO2, result in errors of up to 15 matm (Wanninkhof et al., 1999; Lee et al., 2000; Millero et al., 2006). Dissolved inorganic carbon (DIC) was measured in the Mediterranean Sea during the 1990s, but these data have not yet been made available. In this study, we took advantage of the MEDAR/MEDATLAS (2002) database release to reconstruct decadal average annual cycles of temperature, salinity, oxygen, chlorophyll, and nutrients for the 1960–1990s. These climatologies were used to constrain the simple box model developed by Louanchi et al. (1996) and modified for the needs of the present study. The aim of the study was to infer the decadal change in surface fCO2 fields, and related parameters, to assess the role of the Mediterranean Sea as an atmospheric source or sink of CO2. # 2009 International Council for the Exploration of the Sea. Published by Oxford Journals. All rights reserved. For Permissions, please email: [email protected] 1539 Decadal changes in surface carbon dioxide in the Mediterranean Methods Diagnostic model description The surface box model used to extrapolate the average decadal annual CO2 cycles is the one developed by Louanchi et al. (1996), and described in subsequent studies (Metzl et al., 1998; Louanchi et al., 1999a, b). The surface box model considers the main processes controlling CO2 in the oceanic mixed layer, namely the air–sea exchange, carbonate chemistry and thermodynamics, phytoplankton uptake and release, and the exchange between surface and subsurface layers. The contribution of each process is calculated using the monthly variations in the forcing factors, which are windspeed (W), mixed-layer depth (MLD), temperature (T ), salinity (S), and chlorophyll (Chl) concentration. In the version used here, we did not simulate the nutrients (phosphates P, nitrates N, and silicates Si), but used them as forcing factors as well. An expression of how fCO2 varies with time is ðDf =DtÞ ¼ ðDf =DtÞF þ ðDf =DtÞM þ ðDf =DtÞT þ ðDf =DtÞB ; ð1Þ Figure 1. The eighteen zones of Mediterranean Sea used in this study. information about the physical properties of the area. In this box model, it is not necessary to define initial surface properties, because the unknown surface concentrations stabilize after running the model for 3 –4 years. However, it is sensitive to the subsurface properties, as pointed out by Peng et al. (1987). Data processing where subscripts F, M, T, and B represent air–sea exchange, mixing, temperature, and biological effects, respectively. Each process is constrained by one factor or a set of forcing factors. The model’s equations are based on month-to-month budget calculations. The contributions of the processes are added to obtain the total CO2 fugacity variation. Each term in Equation (1), except the thermal component, is derived from DIC and TA variations. The conversion from DIC and TA variations to fCO2 is done using Mehrbach et al.’s (1973) dissociation constants. Air– sea CO2 flux depends on windspeed, water temperature, and salinity, and it is calculated using Wanninkhof’s (1992) parameterization. It influences DIC variations in the mixed layer. An annual cycle of atmospheric pCO2 is reconstructed for each decade based on Global Atmospheric Watch (GAW) network observations (Global Atmospheric Watch International programme supervised by WMO, http://www.wmo.ch). Vertical mixing only affects DIC and TA and is a simple entrainment equation (Peng et al., 1987), where the subsurface parameters are set as a constant for each decade. The biological effect is derived from the monthly changes in Chl content. Chl variation is the result of a budget between photosynthesis (gain) and respiration and mortality (total losses). The gain depends on nutrient (minimum Michaelis –Menten function of P or N) and light limitation. The total losses are calculated using Chl variations and the gain previously estimated. In all, 80% of the total losses are allowed to remineralize within the mixed layer. This number is typical of oligotrophic conditions. Then, we calculate the effect of photosynthesis –remineralization on P and DIC changes (TA is considered to be invariant during this process) using constant C:P and C:Chl ratios of 106 (Anderson, 1995) and 40 (Taylor et al., 1991), respectively. The exported production (EP) from the surface layer is composed of 10% of CaCO3, the latter decreasing both DIC and TA. Primary production (PP) is the total production (new and regenerated) in the surface layer. Finally, the thermodynamic effect on fCO2 is constrained monthly by the variations of temperature and salinity. It is calculated directly from Mehrbach et al.’s (1973) dissociation constants. Direct horizontal advection is not taken into account in this model because this effect is probably weak on a monthly scale, and MLD, S, T, P, and Chl constraints already contain some In this study, we needed to build the forcing fields for the model. As in all similar studies, data availability is the first limitation one can expect. Therefore, the data processing aims at interpolating the available information on the required time and space scales. Here, we describe the main steps in our approach. The extensive quality control procedures of the data already made by the MEDAR/MEDATLAS group allow us to extract the data for depths between the surface and 1000 m that have successfully passed the tests. We chose to extract the data already interpolated to the standard depths identified by the MEDAR/ MEDATLAS group. The extracted variables are T, S, Chl, N, Si, P, and oxygen (O2). We did not include data from too close to the coast, because they do not represent open-sea conditions and could be highly influenced by local freshwater and anthropogenic inputs. We adopted the 29 boxes defined by MEDAR/MEDATLAS as a first step in our own quality control and to determine the consistency of the data within these zones. We applied a variance-based analysis to the temperature and salinity data from these 29 boxes. This analysis helps to establish whether these zones are effectively different from each other in terms of hydrological variability. The results of this analysis allowed us to identify 18 independent zones (Figure 1). This grid is used for subsequent binning of the data and in applying the box model. The data for each variable and depth are then averaged monthly for all 18 zones for the period running from January 1960 to December 1999. We note that before 1955, the data are too scarce to be interpolated (Nacef, 2006). For spatial interpolation, we used linear regressions between a variable in a given zone and the same variable located in adjacent zones to fill in missing values. Only regressions with a high correlation coefficient (r . 0.9) were applied in this process. When the correlation was weak, the value of the variable located in a given zone was taken as the average for the same variable in the adjacent zones. For temporal interpolation, we used the binned and spatially interpolated database to construct 3- and 5-month moving averages. For example, for January 1978, we have one binned field representing an average of the data for the same month, a second representing the averaged data from December 1977 to 1540 F. Louanchi et al. Table 1. Forcing fields used to constrain the surface box model, their sources, and relative error estimates. Parameter Incoming solar radiation Windspeed MLD Temperature Salinity Oxygen Chlorophyll Phosphates Nitrates Silicates Sources ERA-40 (ECMWF archived data and products) ERA-40 (ECMWF archived data and products) Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Climatologies based on MEDAR/ MEDATLAS (2002) data Relative error (%) n/a n/a n/a 7.04 0.82 6.80 62.5 53.1 51.8 41.2 February 1978, and a third representing the averaged data from November 1977 to March 1978. When the one-binned datum is missing, it is replaced by the three- or five-binned one. At this stage, our database is a monthly climatology of each variable over the 18 zones and covering the period from January 1960 to December 1999. We constructed the average T, S, O2, Chl, P, N, and Si monthly climatologies for four decades (1960s, 1970s, 1980s, and 1990s), and from the surface to 1000 m. The present study only requires averaged parameters in the mixed layer and in the subsurface layer. Because the box model is suitable only for surface waters, we defined the subsurface layer as ranging from the MLD to 300 m. Indeed, D’Ortenzio et al. (2005) demonstrated that the typical winter MLD was 300 m in the Mediterranean Sea. The MLD is defined as the depth at which the temperature is 18C lower than that found at the surface for each month. Error estimates for the monthly fields are difficult to assess. The data were obtained during different cruises and periods, and using different measurement techniques. We neglect the latter, because they must be much smaller than those that result from interpolation processing, or are caused by interannual variability within the same decade. We therefore used the standard deviation in the 1-month binned fields and followed a procedure similar to the processing of the data themselves. Table 1 summarizes the averaged relative errors found for each variable in the Mediterranean Sea. Although the relative errors on the biogeochemical variables seem huge, they are not important in absolute value. In fact, the concentrations in nutrients and chlorophyll in the Mediterranean Sea are generally considered low relative to other parts of the world’s oceans. Sensitivity tests were performed to assess uncertainty in the fCO2 fields relative to errors in the forcing field. The errors in the biogeochemical variables (nutrients and chlorophyll) result in an average error in fCO2 of 9 matm (relative error of 2.5%). In addition, fCO2 is sensitive to the errors in the temperature and salinity fields, which result in an average error on fCO2 of 19 matm (relative error of 5.3%), which implies that the sensitivity to hydrographic variables is more important than that linked to the biogeochemical properties of the Mediterranean Sea. Subsurface DIC and TA definition Subsurface TA is a linear function of subsurface salinity for each decade. Such a relationship has been described by several authors for the Mediterranean Sea (Copin-Montégut, 1993; Begovic and Copin-Montégut, 2002; Copin-Montégut and Begovic, 2002; Aı̈t-Ameur, 2007). The relationship applied in this study is derived from the METEOR-51 cruise data (available from CDIAC) that took place in 2001: TA ¼ 71:488 S 196:55 ðr2 ¼ 0:97Þ: ð2Þ The error linked to this regression does not exceed 10 meq l21, even when it is applied to other datasets [e.g. DYFAMED (DYnamique des Flux Atmosphériques en MEDiterranée) site observations (http://www.obs-vlfr.fr/jgofs2/sodyf/home.htm)]. Subsurface DIC changes from one decade to another follow anthropogenic carbon penetration into the sea. It is therefore calculated as the sum of a natural component DICn and an anthropogenic part DICa. DICn is taken from the multilinear equation established by Aı̈t-Ameur (2007), based on observations between 1998 and 2005 at the DYFAMED site: DICn ¼ 1371:65 21:1841 T þ 0:8393 AOU þ 99:8395 S; ð3Þ where AOU stands for apparent oxygen utilization, calculated using an oxygen-saturation polynomial described by Garcia and Gordon (1992). The DICa is derived from a Revelle factor b of 10 [according to the Mediterranean Sea temperature range and the global ocean’s average proposed by Takahashi et at. (1993)]. We assumed that the atmosphere and the sea were at equilibrium over a decade: DICa ¼ DICn D pCOa2 ; b pCOn2 ð4Þ where DpCOa2 is the atmospheric pCO2 difference between the decade of concern and the pre-anthropogenic condition, and pCOn2 the pre-anthropogenic atmospheric partial pressure of 280 matm. It is difficult to evaluate the errors in subsurface DIC. Consequently, we computed it from the errors in T, S, and AOU. The computation gives a relative error ,10%. A validation of this approach for the estimation of subsurface DIC was attempted. For this, we used temperature, salinity, and oxygen METEOR-51 data to reconstruct DICn in subsurface waters at each station. We calculated DICa using the atmospheric pCO2 of 372.35 matm at the Lampedusa site (GAW programme) in the Mediterranean Sea in October 2001. The estimated subsurface DIC was compared with measured subsurface DIC from the METEOR-51 cruise. The differences did not exceed 15 mmol l21. Moreover, our approach predicts an anthropogenic DIC of 70 mmol l21 for the METEOR-51 data, which matches Aı̈t-Ameur’s (2007) results at the DYFAMED site for the period 1998–2004. We also conducted a sensitivity analysis to assess the magnitude of the errors in the fCO2 field attributable to errors in the subsurface Decadal changes in surface carbon dioxide in the Mediterranean Table 2. Subsurface (from the MLD to 300 m) DIC and TA used as constraints for the surface box model for each decade and averaged over the western and eastern Mediterranean Sea. Western Mediterranean Sea Decade 1960 –1969 1970 –1979 1980 –1989 1990 –1999 DIC (mmol l21) 2 198.1 2 205.8 2 217.0 2 228.2 TA (meq l21) 2 530.6 2 537.7 2 543.4 2 531.3 Eastern Mediterranean Sea DIC (mmol l21) 2 211.5 2 219.3 2 230.5 2 241.8 TA (meq l21) 2 568.2 2 571.9 2 570.7 2 565.0 1541 properties. We found an average fCO2 error of 11 matm (relative error of 3%). Table 2 summarizes the subsurface constraints applied to each decade and averaged over the western Mediterranean Sea (WMS) and eastern Mediterranean Sea (EMS). Our calculations indicate that subsurface DIC increased by 30 mmol l21 from the 1960s to the 1990s, because of anthropogenic carbon penetration. On average, subsurface TA varied over a range of 13 meq l21 in the WMS to 7 meq l21 in the EMS, in response to decadal variability in salinity. In the WMS, subsurface TA increased from the 1960s to the 1980s following the salinity increase mentioned by Béthoux et al. (1998). This trend was less clear for the EMS Figure 2. The forcing field averages (MLD, T, S, Chl, and P) over the WMS (left panels) and the EMS (right panels). The solid grey lines represent the 1960s, the solid black lines the 1970s, the dotted grey lines the 1980s, and the dotted black lines the 1990s. 1542 Figure 3. (a) Modelled annual DfCO2 (matm) cycle as averaged over the four decades and the whole Mediterranean Sea. The envelope surrounding the solid line illustrates the errors derived from the forcing fields and subsurface properties. (b) Seasonal cumulative effects on fCO2 (matm) as averaged for the four decades and the whole Mediterranean Sea. In the legend, F indicates the air –sea exchange effect, B the biological effect, M the mixing effect, and T the thermal effect. basin. The low subsurface TA variability seems to have been caused by a low level of calcification there. Results and discussion The model was applied to the 18 zones for each of four decades, using the forcing fields and subsurface conditions defined above. To estimate the errors in model results, we also ran the model applying the estimated errors in the forcing fields (Table 1), together with those defined for the subsurface properties. On average, we found a relative error of 7% in fCO2. Forcing fields, annual CO2 cycle, and validation Figure 2 shows the average forcing fields for the WMS and the EMS. MLD peaked at 175 m in February/March in both basins, then decreased to 10 m during summer. The annual cycles in MLD appear not to have changed significantly over the decades (Figure 2a and b). Annual cycles of temperature were also similar for the two basins, except that the EMS exhibited higher temperatures (18C) for both winter and summer (Figure 2c and d). In the WMS, the highest temperatures were during the 1960s, when seasonal variation of 9.968C was highest. The lowest temperatures and seasonal variations were in the 1990s. A similar trend was prevalent in the EMS, except that both the highest temperatures and seasonal variations were encountered in the 1980s. The EMS was generally more saline than the WMS, by 0.5 psu (Figure 2e and f). That is related to the climate-induced intense evaporation from the eastern basin F. Louanchi et al. Figure 4. (a) Observed (solid line) and modelled (black square) fCO2 along the west– east track of the INDOMED 3 cruise in December 1977. Error bars indicate the range of the modelled values as related to the forcing fields and subsurface properties errors. (b) Observed (diamond, 1998; square, 1999; triangle, 2000) and 1990s modelled (plain line) fCO2 at the DYFAMED site. Error bars indicate the modelled fCO2 errors derived from the forcing fields and subsurface properties. that results in Levantine Intermediate Water formation. Although Chl fields resulted in the highest uncertainties, the annual cycles found in both basins are in agreement with earlier observations (Antoine and Morel, 1995). It is worth noting that the Mediterranean Sea has more than one productive season (Figure 2g and h). In the WMS, Chl peaked in late winter, summer, and autumn. These results agree with those of Moran and Estrada (2005) from the northwest Mediterranean Sea. In the EMS, the productive period seems to be during spring and autumn. Phosphate concentrations were always ,0.3 mmol l21 in the WMS and 0.15 mmol l21 in the EMS, illustrating the oligotrophic nature of the Mediterranean Sea (Figure 2i and j). There was a strong increase in P from the 1960s to the 1980s in the WMS. It resulted either from an increase in the anthropogenic discharge (Béthoux et al., 1998) or from the dryness of those years, which favoured continental erosion and phosphorus deposition in the sea (Ridame et al., 2003). However, over the past decade, P concentrations seem to have decreased to their earlier values in the WMS. These trends were not observed in the EMS, where the highest P values was in the 1970s, which matches the increase in Chl (Figure 2h and j). A further comment can be made regarding the observed trends in the forcing fields. We did not find in our decadal climatologies a clear increase in surface temperature in the Mediterranean Sea. On the contrary, we found that the magnitude of the seasonal variation in temperature decreased by 50% during the 1990s relative to the earlier decades. The summer temperature for the 1990s was 58C lower than observed during the 1960s, 1970s, and 1980s. Decadal changes in surface carbon dioxide in the Mediterranean 1543 Figure 5. Averaged DfCO2 (matm) in the Mediterranean Sea over the (a) 1960s, (b) 1970s, (c) 1980s, and (d) 1990s. Red corresponds to super-saturation and blue to under-saturation. 1544 F. Louanchi et al. Table 3. Integrated FCO2, PP, EP, annual cumulative air– sea flux (F), biological (B), and mixing (M) effects on fCO2, and temperature seasonal magnitude (DT ) for each decade and averaged for the whole Mediterranean Sea. Magnitude of processes Decade 1960 –1969 1970 –1979 1980 –1989 1990 –1999 FCO2 (range; Tg C year21)a +0.62 (23.74 to 4.80) +0.13 (23.53 to 3.54) 20.14 (24.17 to 3.75) 21.98 (25.92 to 1.80) PP (range; Tg C year21)a 643 (141–1 341) 961 (218–1 956) 773 (183–1 540) 670 (146–1 403) EP (range; Tg C year21)a 71 (16 –149) 107 (24 –218) 86 (20 –171) 74 (16 –155) F effect (matm year21) 211.2 29.9 213.6 21.8 B effect (matm year21) 220.9 229.6 227.1 221.1 M effect (matm year21) 32.4 40.5 40.4 23.4 DT (88 C) 8.90 9.51 10.02 4.65 a 1 Tg C ¼ 1012 g C. The modelled annual cycle of DfCO2 and its driving forces are presented as an average over the whole Mediterranean Sea and all decades (Figure 3), because these features were quite similar for the EMS and the WMS or for several decades. We found that DfCO2 reached a minimum in February or March, following the lowest temperature, and increased by 80 matm through the summer. Disregarding the interdecadal variability, winter CO2 under-saturation seems to have been compensated for by summer CO2 super-saturation, resulting in a near-equilibrium state for the whole 1960– 1999 period (Figure 3a). This annual cycle is similar to that observed in the northwestern Mediterranean Sea (Begovic and Copin-Montégut, 2002; Aı̈t-Ameur, 2007). According to our model results, the processes driving DfCO2 variations are dominated by the thermal component (Figure 3b). Air–sea CO2 fluxes act to decrease DfCO2 in summer by outgassing, whereas this effect is negligible during the rest of the year. Biological effects compensate for the mixing effects over the year, which is consistent with what Begovic and Copin-Montégut (2002) observed at the DYFAMED site. Therefore, the thermal component appears to be the main driver of seasonal variations in DfCO2, and it is worth noting that most of the oligotrophic oceanic regions follow the same process (Winn et al., 1994; Bates et al., 1996; Metzl et al., 1998). In winter, all the effects are low, because variations in the forcing field are weak then. Just a few fCO2 data were available to evaluate model results over the study period. Surface fCO2 data from the DYFAMED site (Begovic and Copin-Montégut, 2002) and underlying fCO2 measurements from the INDOMED 3– 4 cruise (R. F. Weiss, available from CDIAC) were used to evaluate the model results. Because the DYFAMED data were acquired between 1998 and 2000, we extracted the model results from the appropriate grid box for the 1990s. INDOMED 3– 4 took place in December 1977, and the track crossed the southern Mediterranean Sea basin from the Gibraltar Strait to Alexandria in the EMS, so we extracted all the model results from the southern grid boxes for December in the 1970s. Observations and model results are compared in Figure 4. It appears that the model was able to reproduce the order of magnitude of fCO2 in both cases. The averaged differences between the observation and the model did not exceed 10 matm. Most of the differences could be accounted for by the differences between the in situ measured temperature and the average decadal temperature that we used. The observed west – east gradient in the southern part of the Mediterranean Sea was also well reproduced (Figure 4a), together with the annual cycle in fCO2 at DYFAMED (Figure 4b). These results demonstrate that the forcing fields and model parameterization reproduced the decadal variations in fCO2 in the Mediterranean Sea reasonably well. Decadal CO2 variations in the Mediterranean Sea Figure 5 shows the decadal DfCO2 averages from the 1960s (Figure 5a) to the 1990s (Figure 5d). The Mediterranean Sea was transforming from a net source of CO2 in the 1960s to a net sink in the 1990s, and this was particularly true for the Levantine and the Algerian –Provincial basins. For all decades, there was a west–east gradient in the distribution of DfCO2, with lower values in the EMS than in the WMS. The Tyrrhenian Sea appears to have been a net CO2 source for the atmosphere from the 1960s to the 1980s and only transformed into a sink in the 1990s. It is worth noting that the north Adriatic Sea exhibited strong decadal variability, with CO2 under-saturation during the 1960s and the 1980s and CO2 super-saturation during the 1970s and the 1990s. Such decadal variations might be related to changes in hydrological conditions (CIESM, 2002), following the North Atlantic Oscillation patterns. Overall, DfCO2 changed from about +2 matm during the 1960s to 213 matm during the 1990s, the magnitude of this signal being higher in the WMS (20 matm) than in the EMS (12 matm). The decrease in DfCO2 does not mean that sea surface fCO2 also decreased. On the contrary, the latter increased by 24 matm over time, following the anthropogenic carbon input to the sea, but not as fast as the atmospheric fCO2 did. We noted a decrease of 0.02 in pH between the 1960s and the 1990s (not presented here), and this decrease was not linear over time, but followed the interdecadal variations in DIC, T, and S. This pH change is not significant regarding the errors in fCO2 results. Table 3 summarizes the decadal air–sea CO2 fluxes (FCO2), the PP, the EP, and the magnitude of processes over the whole Mediterranean Sea. The model results indicate that the PP and the EP ranged from 18 to 27 mol C m22 year21 and from 2 to 3 mol C m22 year21, respectively. These values agree closely with earlier observations in the Mediterranean Sea (Béthoux, 1989; Marty and Chiavérini, 2002; Moran and Estrada, 2005). The PP derived from in situ observations ranged from 3 to 60 mol C m22 year21 in the WMS, whereas the EP ranged from 0.2 to 54 mol C m22 year21. Our modelled PP ranges also matched those derived from CZCS satellite Chl observations of 308 Tg C year21 for the entire Mediterranean Sea (Antoine and Morel, 1995). The value of FCO2 varied from 0.62 Tg C year21 during the 1960s to –1.98 Tg C year21 during the 1990s. The decadal FCO2 variations appear to be clearly related to the balance between the two main processes. The magnitude of seasonal variations in temperature was high during the 1970s and 1980s, illustrated by the high summer values found in both basins (Figure 2c and d), which should have increased fCO2, but this effect was partly 1545 Decadal changes in surface carbon dioxide in the Mediterranean counterbalanced by increases in PP, which peaked during those two decades. The strong sink during the 1990s was probably related to the reduced seasonal variations in temperature estimated from the data. Conclusions Thanks to the release of the MEDAR/MEDATLAS (2002) database, which we used to construct the forcing fields constraining our diagnostic model, the decadal fCO2 changes in the Mediterranean Sea from the 1960s to the 1990s could be estimated for the first time. Our model results agreed well with the available observations in terms of fCO2 and production (PP, EP). The processes that drive changes in fCO2 at seasonal scales also matched earlier observations for a restricted area of the Mediterranean Sea. The Mediterranean Sea transformed from a net CO2 source for the atmosphere during the 1960s (0.62 Tg C year21) to a net CO2 sink during the 1990s (21.98 Tg C year21) following a balance between decadal temperature anomalies and PP. The spatial pattern of the sources and sinks indicates that the southern part of the Mediterranean Sea was a stronger sink than the northern part and that there was a west–east gradient, resulting in greater sinks in the EMS than in the WMS. Although DfCO2 decreased over time by 15 matm for the whole Mediterranean Sea, sea surface fCO2 increased, following the anthropogenic carbon input to the sea of 30 mmol l21 and the gradual atmospheric CO2 increase that took place. However, sea surface fCO2 only increased by 24 mtm, because of a strong temperature anomaly in the 1990s, resulting in a 58C decrease in mean summer temperatures. We believe this trend resulted from a climate anomaly, and that this hypothesis needs to be investigated further. According to our model results, the highest PP and EP were present during the 1970s and the 1990s. This could have been caused by the dryness of those years in this region, resulting in a “greening” of the Mediterranean Sea through increased atmospheric input of nutrient. Our results indicate that PP ranged from 18 to 27 mol C m22 year21, depending on the decade, whereas EP ranged from 2 to 3 mol C m22 year21. This resulted in an f ratio of 0.12, which is typical of the Mediterranean Sea oligotrophic regime. The decreasing trend in the magnitude of the seasonal variation in temperature encountered in the MEDAR/MEDATLAS (2002) data from the 1960s to the 1990s has to be confirmed by other datasets and/or if more recent data become available (e.g. 2000 decade). If this trend persisted, it would most likely have had a significant effect on the Mediterranean Sea marine ecosystems, as well as on the marine biogeochemical cycles. A change in hydrological conditions driven by climate variability, such as observed in the Mediterranean Sea during the 1990s, might affect the anthropogenic carbon penetration into the sea, because cold waters favour the solubility pump. Aı̈t-Ameur and Goyet (2006) pointed out that the Mediterranean Sea is a source of anthropogenic carbon for the Atlantic Ocean. Therefore, more extensive observation programmes are needed to study the carbon penetration and the air–sea CO2 exchange in that area. Some regions of the Mediterranean Sea exhibited a strong decadal variability in both hydrological and biogeochemical properties, which might well be associated with the North Atlantic Oscillation, or other climate anomalies. We were not able to explore this hypothesis with the box model that we used in this study. Further investigations on both data and three-dimensional model results are needed to understand the coupling between the sea and climate variability in this region. Acknowledgements We thank the MEDAR/MADATLAS group for the Mediterranean Sea database release. We also thank the CDIAC for making available carbon parameter datasets. Pierre Pepin and two anonymous reviewers are acknowledged for their stimulating comments, which helped to improve the manuscript and enhanced the discussions. We also thank F. Z. Belkhiter-Louanchi for her help on an earlier version of the manuscript. 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