The Mediterranean Moisture Contribution to Climatological and Extreme Monthly Continental Precipitation

Moisture transport from its sources to surrounding continents is one of the most relevant topics in hydrology, and its role in extreme events is crucial for understanding several processes such as intense precipitation and flooding. In this study, we considered the Mediterranean Sea as the main water source and estimated its contribution to the monthly climatological and extreme precipitation events over the surrounding continental areas. To assess the effect of the Mediterranean Sea on precipitation, we used the Multi-Source Weighted-Ensemble Precipitation (MSWEP) database to characterize precipitation. The Lagrangian dispersion model known as FLEXPART was used to estimate the moisture contribution of this source. This contribution was estimated by tracking particles that leave the Mediterranean basin monthly and then calculating water loss (E − P < 0) over the continental region, which was modelled by FLEXPART. The analysis was conducted using data from 1980 to 2015 with a spatial resolution of 0.25◦. The results showed that, in general, the spatial pattern of the Mediterranean source’s contribution to precipitation, unlike climatology, is similar during extreme precipitation years in the regions under study. However, while the Mediterranean Sea is usually not an important source of climatological precipitation for some European regions, it is a significant source during extreme precipitation years.


Introduction
Moisture transport from oceans to continents, precipitation, and evaporation are important elements in the hydrological cycle [1].The connection between evaporation and precipitation on the planet is of great interest to present day meteorologists and hydrologists because of the importance of water resources on the quality of human life [2].
The reasons for precipitation in certain areas versus others may be explained through the presence of one (or more) of these factors: (i) the moisture already present in the atmosphere over the concerned areas, (ii) the transport of moisture by winds from another region, or (iii) moisture recycling.When we study each area over a longer period of time, we find that the contribution of the first source is low.We can, therefore, say that the two major sources of moisture that are responsible for precipitation in a region are advection and local evaporation [3].
Changes in global precipitation and in other categories of precipitation are significant for evaluating global climate change and its impacts.According to some studies, high precipitation events at present show an increasing trend in intensity and/or frequency [4,5].Extreme events (such as droughts, floods, and landslides) and their changes in frequency and intensity as well as changes in the water cycle lead to major economic losses and human fatalities including in the Mediterranean area, Water 2018, 10, 519 2 of 19 which we study in this paper [6].In addition, analysis of extreme precipitation trends and changes in water transport from the Mediterranean basin to different areas of the neighbouring continents is relevant for evaluating and predicting high precipitation events.
The Mediterranean region is very important for many sectors and has a huge impact on human life, natural processes, and the availability of water for different purposes [3] especially in Africa, Asia, and Europe [7].Knowledge of the Mediterranean hydrological cycle and its variability may have a positive effect on the quality of human life in the Mediterranean area and increase socioeconomic benefits to this area.

Area in Study: The Mediterranean Region
The area of the Mediterranean basin or the Mediterranean area can be determined by considering the countries surrounding the Mediterranean Sea as well as the sea itself.The Mediterranean basin spans 3800 km east to west from the tip of Portugal to the shores of Lebanon and 1000 km north to south from Italy to Morocco and Libya, which have an area of 2.5 million km 2 and an average depth of 1500 m.The climate of the Mediterranean varies by geographic location, but, in general, it is characterized by hot, dry summers and wet, cool winters, which follows a traditional climate classification [8].The mountainous terrain (the highest peak in the Alps are 4800 m high) around the Mediterranean basin (see Figure 1) has a significant impact on the climate and meteorology in the region.Moreover, the complex land-sea distribution with many islands, peninsulas, and inner seas around the basin [9] makes the region an interesting area in terms of meteorology since it determines important consequences in the atmospheric circulation and is the reason for many sub-regional and mesoscale characteristics.
in the water cycle lead to major economic losses and human fatalities including in the Mediterranean area, which we study in this paper [6].In addition, analysis of extreme precipitation trends and changes in water transport from the Mediterranean basin to different areas of the neighbouring continents is relevant for evaluating and predicting high precipitation events.
The Mediterranean region is very important for many sectors and has a huge impact on human life, natural processes, and the availability of water for different purposes [3] especially in Africa, Asia, and Europe [7].Knowledge of the Mediterranean hydrological cycle and its variability may have a positive effect on the quality of human life in the Mediterranean area and increase socioeconomic benefits to this area.

Area in Study: The Mediterranean Region
The area of the Mediterranean basin or the Mediterranean area can be determined by considering the countries surrounding the Mediterranean Sea as well as the sea itself.The Mediterranean basin spans 3800 km east to west from the tip of Portugal to the shores of Lebanon and 1000 km north to south from Italy to Morocco and Libya, which have an area of 2.5 million km 2  and an average depth of 1500 m.The climate of the Mediterranean varies by geographic location, but, in general, it is characterized by hot, dry summers and wet, cool winters, which follows a traditional climate classification [8].The mountainous terrain (the highest peak in the Alps are 4800 m high) around the Mediterranean basin (see Figure 1) has a significant impact on the climate and meteorology in the region.Moreover, the complex land-sea distribution with many islands, peninsulas, and inner seas around the basin [9] makes the region an interesting area in terms of meteorology since it determines important consequences in the atmospheric circulation and is the reason for many sub-regional and mesoscale characteristics.The most significant characteristic of the Mediterranean region is its position between the subtropics and the mid-latitudes, which means it is affected by the regimes of both zones [10].Some typical mid-latitude variability defines the precipitation pattern in this region.The climate there is mostly affected by the westward movement of storms, which originate from the Atlantic Ocean and affect the western European coasts in the winter [11].The general precipitation in this region is mostly affected by the North Atlantic Oscillation (NAO) in the western Mediterranean region [12], the East Atlantic Oscillation (EAO) in the northern and eastern areas, and the Scandinavian Patterns or the eastern Atlantic/Western Russia pattern [9,10,13].However, the subtropical southern part of The most significant characteristic of the Mediterranean region is its position between the subtropics and the mid-latitudes, which means it is affected by the regimes of both zones [10].Some typical mid-latitude variability defines the precipitation pattern in this region.The climate there is mostly affected by the westward movement of storms, which originate from the Atlantic Ocean and affect the western European coasts in the winter [11].The general precipitation in this region is mostly affected by the North Atlantic Oscillation (NAO) in the western Mediterranean region [12], the East Atlantic Oscillation (EAO) in the northern and eastern areas, and the Scandinavian Patterns or the eastern Atlantic/Western Russia pattern [9,10,13].However, the subtropical southern part of the Mediterranean basin is affected by systems such as the Hadley Cell throughout its descending branch for many months of the year and by the Asian and African monsoons during the summer [14].The influences of El Niño Southern Oscillation (ENSO), hurricanes, and the dust intrusions from the Sahara (see Reference [14] for a review or Reference [15]) should not be neglected.In the summer period, a dominant high-pressure system presents a strong positive geopotential anomaly in many parts of Europe including the area of the Mediterranean basin, which leads to a prevalence of dry conditions over the southern Mediterranean region [11].These highlighted anomalies are associated with blocking conditions, subsidence, stability, a warm lower troposphere, and small pressure gradients at sea level as well as above-normal Mediterranean Sea surface temperatures [16].

Precipitation Patterns and Synoptic Climatological Configuration
The complex morphology of the region and the different interactions between several patterns of climate variability contribute to significant seasonal and annual differences in total precipitation, daily distribution, and geographical distribution [9].The highest quantities of precipitation occur over the Adriatic coast and the Alpine region mainly during the summer and over the coast of Turkey and the Atlantic Iberian Peninsula border in the winter.During this time, there is more than 1200 mm of precipitation.The lowest quantities occur in the southeast region of the basin and over the northern coast of Africa with less than 400 m of precipitation and over the southern Iberian Peninsula in the summer [17][18][19][20].
Large-scale precipitation events in the western, central, and eastern Mediterranean are related to local anomalies of high moisture over the Mediterranean Sea [21] and those are influenced by remote positive source anomalies [22].Many studies have pointed out the important role of remote sources for the occurrence of extreme precipitation events in the Mediterranean Basin [22][23][24][25], which is one of the aims of the present study.
If the Mediterranean basin is characterized by something peculiar, it is the highest number of heavy precipitation events (the aim of this work) with approximately 60% of those events occurring during the extended winter season [26].During the period between September and May, which is characterized as the most precipitative period of the year, the accumulated rainfall contributes more than 80% of the total annual precipitation [12,27].This is the case, for instance, in the Alpine region [28].During the summer (the dry season), some locations in the Balkans and the Caucasus have also recorded significant amounts of precipitation [20].This type of rainfall over the Mediterranean basin is due to several factors such as mesoscale convective systems, cyclones, upper synoptic-scale-level troughs, and large-scale circulation teleconnection patterns [16,[29][30][31][32].At the local scale, the intensity of precipitation depends on the temperature profile, the atmospheric moisture, and the convergence at lower levels.However, moisture content along with intense convection are essential components for generating intense precipitation [33].Around 90% of heavy precipitation events are associated with cyclones [27].In general, a higher frequency of extreme precipitation and its impact has been recorded in the north-western part of the basin [34].
Many studies have analyzed trends in the occurrence of extreme precipitation, which points out that their frequency, intensity, and impacts do not show homogenous behavior across the entire area [34,35].For instance, a significant increasing trend in torrential or heavy rainfall events was reported in the Iberian and Italian Peninsulas while, for both regions, decreasing trends in light and moderate precipitation levels were observed [36].Other studies on climate extremes have demonstrated that, over the Italian Peninsula, there are positive trends in the number of days with precipitation amounts greater than 10 mm while a negative trend has been demonstrated in the eastern part of the Mediterranean [37].Another example of this lack of homogeneity is that opposite trends for extreme precipitation have been found over other regions such as Greece [38].Knowledge of the behavior and the impact of extreme precipitation in the past and present is crucial to understanding future climate change effects, which could be more evident through extreme events [39] under study.

Moisture Transport and Effects
As discussed, precipitation is highly sensitive to the location of the cyclones over the region and variations in climate.However, the role of moisture is also equally important [1].The Mediterranean Sea was identified in previous works as one of the main sources of moisture for continental precipitation on global [1] and regional scales [2,3,40,41].In this sense, regional studies show that the Mediterranean basin acts as a moisture source, which contributes to the entire Northern Hemisphere with the greatest amount of precipitation occurring over the Mediterranean Sea itself during the summer [2,3,42] with a higher influence near it.The Mediterranean basin supports significant moisture, for instance among others, over the Danube River Basin [43], the Iberian Peninsula [44], Southern France [45,46], and Southern Switzerland [47].However, it is important to highlight the different influences by the inner sub-basins.In this sense, the eastern Mediterranean basin mainly affects the Middle East and Northern-east Africa.While the Western Mediterranean basin influences the European continent [42] (mainly over the Iberian, Italian, and Balkan Peninsulas and France) and Northern-Western Africa [3,23] and the Central Mediterranean Sea contributes more to the Italian Peninsula and Northern-Central Africa [3,42], which exhibits a huge influence on extreme precipitation in the Alpine region [48] due to the intensification of the moisture uptake from the Mediterranean basin during the autumn and winter [22].However, the Mediterranean influence on even more distant regions is also known and the moisture that reaches regions such as the Sahel [49,50], Central Asia, and the Arabian Peninsula [51] is not negligible.In addition, it has been demonstrated that changes in the moisture evaporation from the Mediterranean Sea affect the wetness or dryness of conditions over areas where it sinks [23,52,53].
In the context of a changing climate, measurements over the Mediterranean Sea for the last few decades (from 1958), reveal a positive trend in the balance of surface freshwater fluxes (evaporation minus precipitation) reaching about 182 millimeters per year.However, the tendency is due to a combination of two factors including the decrease in precipitation during the 1980s and the increase in evaporation during more recent decades [54].These changes also affect the transport of moisture to the continent, which affects trends in extreme precipitation and intensifies the influence of oceanic moisture on continental precipitation [55].
One of the objectives in this study is to analyze the percentage of precipitation over the Mediterranean continental areas during the last four decades (1980 to 2016), which is due to moisture from the Mediterranean Sea.The analysis has been done grid by grid with a high resolution of 0.25 • degrees in latitude and longitude, which extends the time-period and the resolution of all the previous analyses.Since the significant characteristic of the region is the presence of high rainfall, we have also computed the changes in the moisture contribution for extreme monthly precipitation to highlight the importance of this source of moisture during the maxima peaks of rainfall.Although the work has been done for all months, in this paper, we discuss the results for January and July, the central months for winter (December, January, and February), and the summer season (June, July, and August) in the Mediterranean region.
To understand and describe features of extreme precipitation for the Mediterranean region, it is important to remark on the processes related to the seasonal variation of precipitation.Therefore, for Europe and North Africa, a typical configuration is the presence of two permanent centers of geopotential action-the Icelandic Low and the Azores High-located around 30 • N during January and moving northward toward the British Isles in July [56].The climate type of the Mediterranean region is in concordance with this latitudinal belt positioned north of the Sahara, which is characterized by rainy winters (above 30 • N) and dry summers (below 45 • N) [56].This is why, in this paper, the results are focused in January and July.
So, and in view of the importance of extreme rainfall over the region, the main objectives of this study are: (i) to quantify the monthly contribution of the Mediterranean source of moisture to the precipitation over the surrounding continental areas, and (ii) to analyze the percentage contribution of this source to the extreme precipitation, grid by grid, with the best current resolution.
To estimate the monthly moisture that comes from the Mediterranean Sea and contributes to the precipitation over the continent, we used the Lagrangian tool FLEXPART (FLEXible PARTicle) dispersion model in version 9.0, which was developed initially by Stohl and James [57,58] and fed with ERA-Interim reanalysis data.The high resolution Multi-Source Weighted-Ensemble Precipitation (MSWEP) dataset [59] was used to compute the monthly mean and extreme (by the mean composite of the five monthly higher values between 1980 to 2016) precipitation climatology grid by grid (0.25 • ) for the first time over the Mediterranean region.

MSWEP Precipitation Dataset
In this study, we used the monthly precipitation dataset, MSWEP [59,60], from January 1980 to December 2015.However, only results for January and July are shown and described in the text.MSWEP is a new precipitation dataset that has been accessible since the beginning of 2017.The MSWEP was developed to merge the highest quality available precipitation data as a function of timescale and location.To determine the regions with the monthly highest precipitation values, taken over a large time period, the resolution and precision of the database used is very important.
The MSWEP database is specially designed for hydrological modeling due its 0.25 • × 0.25 • spatial resolution in latitude and longitude with accumulated data based on three-hour time periods.The database combines the advantages of a wide range of precipitation information including gauges, satellites, and atmospheric reanalysis models to obtain precipitation information with the highest possible accuracy on a global scale, which makes it unique in comparison with other databases.The database used to characterize the highest precipitation values in the Mediterranean region on a monthly scale cover a temporal period from January 1980 to December 2015, which coincides with the available FLEXPART outputs.
The MSWEP precipitation dataset has been validated on a global scale using observations from approximately 60,000 gauges around the world and hydrological modeling of approximately 9000 catchments [60].The results showed that MSWEP performs better compared to other precipitation databases such as CHIRPS, CMORPH-CRT, GPCP-1DD, GSMaP, PERSIANN-CCS, PERSIANN-CDR, WFDEI-CRU, and TMPA 3B42.
We have used the MSWEP monthly precipitation dataset to compute the monthly climatological precipitation values over the Mediterranean region between 30 • W-65 • E and 5 • N-70 • N. Checking grid by grid for each individual month, we ranked the maximum precipitation.Considering only five years with the most intense precipitation values for each grid point, we composed a study of climatology for the extreme years.

Sinks for the Mediterranean Sea Moisture Source
In this study, we used a Lagrangian approach to evaluate the role of the moisture transport from the Mediterranean basin.The moisture sink regions are computed using the outputs of a global simulation of the Lagrangian FLEXPART V9.0 model [43,61] with ERA-Interim reanalysis data input from the ECMWF (European Centre for Medium-Range Weather Forecast) [62].The ERA-Interim dataset has 1 • spatial resolutions on 60 vertical levels from 1000 to 0.1 hPa, which is available at each 6-h time interval.The FLEXPART experiment is based on dividing the global atmosphere into approximately 2.0 million particles (air masses or atmospheric particles) of constant mass (m), which are moved along their trajectories using a three-dimensional (3D) wind field while retaining their meteorological characteristics (given by the ERA-Interim data) as well as their individual position (latitude, longitude, and elevation).Therefore, computing changes in specific humidity (q) along the trajectories allows us to identify moisture sources and/or sink regions [57,58] if we follow the particles backward or forward in time, respectively.As commented on previously, the changes in specific humidity (q) allow us to identify those moments when and where the particles obtain moisture where m represents the mass of the particle.By adding, day by day, during the 10 days of analysis, the (e−p) for all the particles in the atmosphere over the area of interest, we can obtain instantaneous values of the surface freshwater flux (E − P) where (E) denotes the rate of evaporation and (P) denotes the rate of precipitation per unit area.
To identify the moisture sink regions in the Mediterranean area due to the moisture that comes from the Mediterranean basin, we conducted a forward experiment in time from January 1980 to December 2016.The surface freshwater flux (E − P) takes into account only those particles leaving the Mediterranean basin.Using the forward mode to follow the particles from our area of study, we track the trajectories of the particles for 10 days (the typically mean water vapor lifetime in the atmosphere at mid-latitudes [63]), with the aim to identify the regions where the particles lost humidity.This includes the sink regions where E − P < 0.
The Lagrangian approach has been widely used during the last several years in moisture transport analysis for the identification of moisture sources and sinks all around the globe [1,64].The model includes many physical and dynamical parametrizations (see [65] for a technical description and the continuously update FLEXPART webpage https://www.flexpart.eu/wiki).In comparison to the other approaches applied to moisture transport analysis (for example, box models and isotopes), the Lagrangian approach is one of the most suitable tools for computing moisture source-sink relationships, which was pointed out by Gimeno et al. [64].However, this model has some limitations.For instance, the quality of input data is crucial for reliable results.To minimize these type of errors, the choice of ERA-Interim may be justified in terms of its performance in reproducing the hydrological cycle and water balance closure better than other available reanalysis products [66,67].Another main disadvantage is that the model cannot make calculations of E and P separately and E and P should always be taken into consideration as part of a balance between them [57,58,64].Therefore, this P calculated from E − P < 0 is not exactly equal to real precipitation [57].It represents the moisture transported for precipitation.Other sources of error are the limited resolution, uncertainties, and the interpolation of input data.Additionally, the trajectory errors could be higher especially in areas with low meteorological data coverage [68,69].The developers of the model [57] state that such errors may cancel each other out given the large number of trajectories considered in the experiment and given the number of particles found in the typical grid used.For a complete description of the advantages and disadvantages, we recommend the review by Gimeno et al. [64].
With regard to the precipitation analysis, January and July results for the sinks of moisture from the Mediterranean Sea are shown in the main text while all the months are included in the supplementary material.

Climatological and Extreme MSWEP Monthly Precipitation
To calculate the climatological value of monthly precipitation (namely MSWEP-Cli), we used the global precipitation database from MSWEP.The analysis covers the temporal period from 1980 to 2015.In this work, we put the focus on January and July (see Figure 2) (see the results in the Supplementary Materials for all months, Figure S1).Results show that the highest climatological precipitation values (greater than 2 mm/day) in January are recorded along the Atlantic coast from the Iberian Peninsula to the Scandinavian lands and over Central Europe, the Italian Peninsula, the Balkans, the Middle East, the Anatolian Peninsula coasts, and the Fertile Crescent arch.Most of the precipitation over the Atlantic coast and northern Europe is typically due to fronts associated with the transit of mid-latitude cyclones.In addition, if they flow over the continent, they can continue eastward up to the Middle East [70].Higher precipitation in the Northern Mediterranean basin and northern Africa is also due to convective events [22] and those over the Fertile Crescent are associated with cyclone systems that reach the region from the Mediterranean Sea combined with a dominant moisture southern flux [71,72].Yet, very low values of precipitation (lower than 0.3 mm/day) occur in the semi-arid and arid regions of Africa and Asia.During July, the highest climatological values of precipitation are recorded northward of 42° latitude including practically the entire Eurasian continent with the exception of the Iberian Peninsula (where very low values of less than 0.3 mm/day are recorded), Northern Africa, and Western Asia.
Since the Mediterranean region is characterized by intense precipitation, after identifying the climatological values, we have computed, grid by grid, the precipitation values of the five years that exhibit the greatest values during both January and July (see Figure S2 in Supplementary Materials for the remaining months).The maps concerning the mean values of these five years (hereafter MSWEP-extreme) are shown in Figure 3. Results show that the highest climatological precipitation values (greater than 2 mm/day) in January are recorded along the Atlantic coast from the Iberian Peninsula to the Scandinavian lands and over Central Europe, the Italian Peninsula, the Balkans, the Middle East, the Anatolian Peninsula coasts, and the Fertile Crescent arch.Most of the precipitation over the Atlantic coast and northern Europe is typically due to fronts associated with the transit of mid-latitude cyclones.In addition, if they flow over the continent, they can continue eastward up to the Middle East [70].Higher precipitation in the Northern Mediterranean basin and northern Africa is also due to convective events [22] and those over the Fertile Crescent are associated with cyclone systems that reach the region from the Mediterranean Sea combined with a dominant moisture southern flux [71,72].Yet, very low values of precipitation (lower than 0.3 mm/day) occur in the semi-arid and arid regions of Africa and Asia.During July, the highest climatological values of precipitation are recorded northward of 42 • latitude including practically the entire Eurasian continent with the exception of the Iberian Peninsula (where very low values of less than 0.3 mm/day are recorded), Northern Africa, and Western Asia.
Since the Mediterranean region is characterized by intense precipitation, after identifying the climatological values, we have computed, grid by grid, the precipitation values of the five years that exhibit the greatest values during both January and July (see Figure S2 in Supplementary Materials for the remaining months).The maps concerning the mean values of these five years (hereafter MSWEP-extreme) are shown in Figure 3.This pattern during both months exhibits a similar configuration compared to climatological conditions (see Figure 2).The highest values (greater than 5.5 mm/day, orange colors) in January are observed over the western Iberian and Scandinavian Peninsulas, the eastern coast of the Adriatic Sea, the eastern Mediterranean coast and Fertile Crescent, and over some areas of the Italian Peninsula.In Eastern Europe and northern Asia, the MSWEP-extreme values are lower and range between 0.5 and 2 mm/day.During July, the highest values of MSWEP-extreme (>5.5 mm/day) are mainly exhibited in the central part of the Euro-Asiatic continent, which highlights elevated terrains as the Alpine region, the Scandinavian Peninsula, and regions over the Carpathian Mountains.The plot also shows higher values over Central Africa below 15° N.However, this area is outside the Mediterranean region.
The ratio between these precipitation measurements (MSWEP-Cli divided by MSWEP-extreme) are plotted in Figure 4.This ratio highlights the areas where there is a greater difference between the climatology and the extreme precipitation (indicating that extreme precipitation occurs in a few isolated events but is important in quantity).However, ratio values around one (ratio ≈ 1) show the areas where precipitation quantities do not exhibit considerable change over the studied time period.For both months (see Figure S3 in Supplementary Materials for the remaining months), the results generally show that the ratio is higher in the arid and semiarid regions of Northern Africa, the Middle East, and the southern Iberian Peninsula where MSWEP-Cli values are very low (especially during July).In these areas, precipitation for extreme years can be as high as five times the climatological values.During January, values for MSWEP-extreme are twice the climatological values over central Europe, which shows that extreme precipitation modulates the mean climatological value.It is particularly interesting that the MSWEP-extreme over the Mediterranean coast of the Balkan, Greek, and Anatolian Peninsulas is twice the value of MSWEP-Cli.The South-western Iberian Peninsula also shows a particular behaviour.This region is characterized by higher values in both measurements and the ratio is also elevated with values over three.Therefore, in January, this region was affected by systems that bring extreme precipitation, which mostly determine its climatological value.In July, the highest ratio values, in addition to the already discussed dry areas, are located along the northern Mediterranean coast including the coast of France, Italy, Greece, and Turkey.In the Alpine regions such as the Scandinavian and Carpathian mountains where climatological precipitation values reached a maximum in both cases, the ratio is This pattern during both months exhibits a similar configuration compared to climatological conditions (see Figure 2).The highest values (greater than 5.5 mm/day, orange colors) in January are observed over the western Iberian and Scandinavian Peninsulas, the eastern coast of the Adriatic Sea, the eastern Mediterranean coast and Fertile Crescent, and over some areas of the Italian Peninsula.In Eastern Europe and northern Asia, the MSWEP-extreme values are lower and range between 0.5 and 2 mm/day.During July, the highest values of MSWEP-extreme (>5.5 mm/day) are mainly exhibited in the central part of the Euro-Asiatic continent, which highlights elevated terrains as the Alpine region, the Scandinavian Peninsula, and regions over the Carpathian Mountains.The plot also shows higher values over Central Africa below 15 • N.However, this area is outside the Mediterranean region.
The ratio between these precipitation measurements (MSWEP-Cli divided by MSWEP-extreme) are plotted in Figure 4.This ratio highlights the areas where there is a greater difference between the climatology and the extreme precipitation (indicating that extreme precipitation occurs in a few isolated events but is important in quantity).However, ratio values around one (ratio ≈ 1) show the areas where precipitation quantities do not exhibit considerable change over the studied time period.For both months (see Figure S3 in Supplementary Materials for the remaining months), the results generally show that the ratio is higher in the arid and semiarid regions of Northern Africa, the Middle East, and the southern Iberian Peninsula where MSWEP-Cli values are very low (especially during July).In these areas, precipitation for extreme years can be as high as five times the climatological values.During January, values for MSWEP-extreme are twice the climatological values over central Europe, which shows that extreme precipitation modulates the mean climatological value.It is particularly interesting that the MSWEP-extreme over the Mediterranean coast of the Balkan, Greek, and Anatolian Peninsulas is twice the value of MSWEP-Cli.The South-western Iberian Peninsula also shows a particular behaviour.This region is characterized by higher values in both measurements and the ratio is also elevated with values over three.Therefore, in January, this region was affected by systems that bring extreme precipitation, which mostly determine its climatological value.In July, the highest ratio values, in addition to the already discussed dry areas, are located along the northern Mediterranean coast including the coast of France, Italy, Greece, and Turkey.In the Alpine regions such as the Scandinavian and Carpathian mountains where climatological precipitation values reached a maximum in both cases, the ratio is among the lowest, which indicates that these areas commonly experience extreme precipitation during the summer.

Climatological and Extreme FLEXPART Monthly Precipitation with Origin in the Mediterranean Sea
To identify the major climatological monthly moisture sinks for the Mediterranean region, we tracked the air masses (the particles) residing in the atmosphere over the Mediterranean Sea forward in time for ten days from 1980 to 2016 every six hours.We computed month by month the balance of E − P for each grid point (as described in the methodology using the outputs of the FLEXPART model) and we maintained only monthly negative values ((E − P) < 0) to identify those areas where precipitation (P) exceeds evaporation (E) in the net moisture budget.Monthly positive values are removed.The final mean accumulated (E − P) < 0 over land (hereafter, PFLEX-Cli in this paper) shows the moisture sink regions for the moisture that comes from the Mediterranean Sea and produces precipitation over the neighborhood continental areas.January and July PFLEX-Cli values are shown in Figure 5 (see the results in the Supplementary Materials for all months, Figure S4).Colored areas are the sink for the Mediterranean moisture including those regions with precipitation.

Climatological and Extreme FLEXPART Monthly Precipitation with Origin in the Mediterranean Sea
To identify the major climatological monthly moisture sinks for the Mediterranean region, we tracked the air masses (the particles) residing in the atmosphere over the Mediterranean Sea forward in time for ten days from 1980 to 2016 every six hours.We computed month by month the balance of E − P for each grid point (as described in the methodology using the outputs of the FLEXPART model) and we maintained only monthly negative values ((E − P) < 0) to identify those areas where precipitation (P) exceeds evaporation (E) in the net moisture budget.Monthly positive values are removed.The final mean accumulated (E − P) < 0 over land (hereafter, PFLEX-Cli in this paper) shows the moisture sink regions for the moisture that comes from the Mediterranean Sea and produces precipitation over the neighborhood continental areas.January and July PFLEX-Cli values are shown in Figure 5 (see the results in the Supplementary Materials for all months, Figure S4).Colored areas are the sink for the Mediterranean moisture including those regions with precipitation.
among the lowest, which indicates that these areas commonly experience extreme precipitation during the summer.

Climatological and Extreme FLEXPART Monthly Precipitation with Origin in the Mediterranean Sea
To identify the major climatological monthly moisture sinks for the Mediterranean region, we tracked the air masses (the particles) residing in the atmosphere over the Mediterranean Sea forward in time for ten days from 1980 to 2016 every six hours.We computed month by month the balance of E − P for each grid point (as described in the methodology using the outputs of the FLEXPART model) and we maintained only monthly negative values ((E − P) < 0) to identify those areas where precipitation (P) exceeds evaporation (E) in the net moisture budget.Monthly positive values are removed.The final mean accumulated (E − P) < 0 over land (hereafter, PFLEX-Cli in this paper) shows the moisture sink regions for the moisture that comes from the Mediterranean Sea and produces precipitation over the neighborhood continental areas.January and July PFLEX-Cli values are shown in Figure 5 (see the results in the Supplementary Materials for all months, Figure S4).Colored areas are the sink for the Mediterranean moisture including those regions with precipitation.During January, the pattern of PFLEX-Cli has an eastern shift, which follows the mean winter general circulation in this latitude.The main moisture Mediterranean influence for precipitation occurs over the eastern areas.The highest values are found over the regions close to the Mediterranean Sea (reddish colours, >0.5 mm/day) over the Balkan Peninsula, pre-Alpine region, the Middle East, Turkey, the Fertile Crescent, and the northern Black Sea.By contrast, during July, the highest values do not exhibit this displacement and the PFLEX-Cli is based on the local source of moisture.The main affected areas are recorded over the eastern Iberian Peninsula, the Alps, the western Middle East, and Northern Africa (Saharan regions to the north of Ahaggar and Tibesti massifs that include Algeria, Tunisia, and Libya).
We have also conducted a grid-by-grid computation of the precipitation generated by moisture coming from the Mediterranean Sea and calculated by the Lagrangian experiment for the same five years of maximum precipitation used to compute MSWEP-extreme.These extreme E − P < 0 monthly values, hereafter PFLEX-extreme, for January and July are shown in Figure 6 (see Figure S5 in Supplementary Materials for the remaining months).Both patterns exhibit a similar geographical distribution to those recorded by PFLEX-Cli.
Compared to MSWEP maps (see Figures 2 and 3), both PFLEX values are, as expected, lower because they exhibit only the portion of the precipitation that originates in the Mediterranean Sea.
Water 2018, 10, x FOR PEER REVIEW 10 of 19 During January, the pattern of PFLEX-Cli has an eastern shift, which follows the mean winter general circulation in this latitude.The main moisture Mediterranean influence for precipitation occurs over the eastern areas.The highest values are found over the regions close to the Mediterranean Sea (reddish colours, >0.5 mm/day) over the Balkan Peninsula, pre-Alpine region, the Middle East, Turkey, the Fertile Crescent, and the northern Black Sea.By contrast, during July, the highest values do not exhibit this displacement and the PFLEX-Cli is based on the local source of moisture.The main affected areas are recorded over the eastern Iberian Peninsula, the Alps, the western Middle East, and Northern Africa (Saharan regions to the north of Ahaggar and Tibesti massifs that include Algeria, Tunisia, and Libya).
We have also conducted a grid-by-grid computation of the precipitation generated by moisture coming from the Mediterranean Sea and calculated by the Lagrangian experiment for the same five years of maximum precipitation used to compute MSWEP-extreme.These extreme E − P < 0 monthly values, hereafter PFLEX-extreme, for January and July are shown in Figure 6 (see Figure S5 in Supplementary Materials for the remaining months).Both patterns exhibit a similar geographical distribution to those recorded by PFLEX-Cli.
Compared to MSWEP maps (see Figures 2 and 3), both PFLEX values are, as expected, lower because they exhibit only the portion of the precipitation that originates in the Mediterranean Sea.As for MSWEP data, we show in Figure 7 the ratio between PFLEX-Cli and PFLEX-extreme.As for MSWEP data, we show in Figure 7 the ratio between PFLEX-Cli and PFLEX-extreme. Figure 10.Difference between the percentages of the moisture from the Mediterranean Sea supplied to extreme events (see Figure 9) and to the mean climatology (see Figure 8).This last figure shows where the Mediterranean moisture supplied to extreme events was higher (or lower) than the climatological mean values.Generally, the Mediterranean supplies more moisture to extreme events (reddish colors) in the southern and western borders of the basin during January and over the northern side during July.The contribution to the mean values (bluish colors) was highest over central Europe in January and over the Alps and the Carpathian Mountains as well as the British Isles during June.The arid regions over Africa always received a smaller percentage of contribution during extreme events.Figure 10.Difference between the percentages of the moisture from the Mediterranean Sea supplied to extreme events (see Figure 9) and to the mean climatology (see Figure 8).This last figure shows where the Mediterranean moisture supplied to extreme events was higher (or lower) than the climatological mean values.Generally, the Mediterranean supplies more moisture to extreme events (reddish colors) in the southern and western borders of the basin during January and over the northern side during July.The contribution to the mean values (bluish colors) was highest over central Europe in January and over the Alps and the Carpathian Mountains as well as the British Isles during June.The arid regions over Africa always received a smaller percentage of contribution during extreme events.

Summary and Conclusions
Figure 10.Difference between the percentages of the moisture from the Mediterranean Sea supplied to extreme events (see Figure 9) and to the mean climatology (see Figure 8).This last figure shows where the Mediterranean moisture supplied to extreme events was higher (or lower) than the climatological mean values.Generally, the Mediterranean supplies more moisture to extreme events (reddish colors) in the southern and western borders of the basin during January and over the northern side during July.The contribution to the mean values (bluish colors) was highest over central Europe in January and over the Alps and the Carpathian Mountains as well as the British Isles during June.The arid regions over Africa always received a smaller percentage of contribution during extreme events.

Summary and Conclusions
In this work, we estimated the contribution of the Mediterranean Sea as the main moisture source of the monthly precipitation over the surrounding continental areas.We analyzed both the mean climatological behavior and the extreme values.The analysis was done in three steps.First, we characterized the precipitation patterns for both the 1980-2015 climatology and the five extreme years, grid by grid, by using the MSWEP database.Next, we estimated the moisture contribution from the Mediterranean basin to the precipitation through the Lagrangian FLEXPART model for both monthly climatological values and five-year values, grid by grid, which was demonstrated in step one.Finally, we compared both patterns, precipitation and contribution, by calculating the differences between them.
The monthly mean climatological precipitation (MSWEP-Cli) shows a clear dichotomy between the winter and summer.During January, the highest rainfall values were recorded along the European Atlantic coast and parts of Central Europe due to the typical frontal precipitation associated with cyclones over the northern and eastern limits of the basin and the Fertile Crescent due to convective systems.However, during July, the pattern shows its maximum values for covering practically the entire Eurasian continent with the exception of the Iberian and Anatolian Peninsulas and northern Africa.The analysis of the monthly mean extreme values of precipitation (MSWEP-extreme) shows that the pattern is similar to the climatological one.The highest values in January occur over areas in the Western Iberian Peninsula, Northern British Isles, Scandinavia, the eastern coast of the Adriatic Sea, Southern Anatolian Peninsula, and the Fertile Crescent reaching north of the Persian Gulf.During July, higher values of MSWEP-extreme are also expressed in the central part of the Euro-Asiatic continent, which highlights the peaks over the Alps and the Carpathian and Scandinavian Mountains.When the ratio of the climatology and extreme events is analyzed, it becomes evident that extreme precipitation is modulated over some parts of the continental Mediterranean region compared to the mean climatological values.This behavior is clear over arid and semi-arid regions including southern Iberian Peninsula during both seasons when the extreme events yield values greater than three times the mean precipitation.Over the Anatolian and southern Greek Peninsulas, this event occurs in July.However, it is also remarkable that, in the same areas, this ratio reaches lower values, which indicates that, throughout the analyzed period (36 years), precipitation is quite regular.This occurs over elevated terrains such as the Alps and the Carpathian and Scandinavian Mountains, which commonly experience extreme precipitation.
The analysis of the contribution of the Mediterranean basin to the precipitation over land showed that climatologically (PFLEX-Cli) during January, the main moisture sink areas for the moisture coming from the Mediterranean basin are found over the North-eastern Mediterranean region with a clear eastern shift caused by westerly winds.During July, when the values are smaller, the areas affected are more local (with a high impact over the Alpine region, the eastern Iberian Peninsula, Middle East, and northern Africa).
The contribution of the Mediterranean moisture to the extreme precipitation (PFLEX-extreme) shows similar geographical distribution patterns in both months as those recorded by PFLEX-Cli.The arid regions could be positively biased by the overestimation of PFLEX-Cli and PFLEX-extreme if we compare the precipitation simulated by the model and the MSWEP data.PFLEX represents the moisture available for precipitation since it is pointed in the methodology.
When MSWEP-extreme and PFLEX-extreme precipitation values are compared, PFLEX-extreme values are, as expected, lower because PFLEX only computes those amounts of continental precipitation with origin in the Mediterranean Sea.The ratio between PFLEX-Cli and PFLEX-extreme shows that the contribution of the Mediterranean Sea to extreme events during both boreal months is most pronounced over the Iberian and Italian Peninsula, Middle East coast, and in the desert regions of Northern Africa where the ratio can be up to three times the climatological precipitation values.An interesting case appears over the Alpine regions and over the Balkan and the Greek Peninsulas where the ratio exhibits opposite behavior during the winter and summer.During the winter, the Mediterranean Sea is the most important provider of moisture (ratio approximately 5) for extreme precipitation while, during the summer, the contribution is quite similar to PFLEX-Cli (ratio approximately 1).In Central and Western Europe, a similar pattern is recorded in January when the ratio is around 1.These values show that PFLEX-Cli and PFLEX-extreme exhibit quite similar amounts of precipitation.
The Mediterranean contribution and the precipitation was compared with respect to the difference between MSWEP and PFLEX climatological monthly and extreme monthly recorded precipitation.The difference was analyzed for two fields of the precipitation, which includes the percentage difference between PFLEX-Cli and MSWEP-Cli and the percentage difference between PFLEX-extreme and MSWEP-extreme.The results show that, for the first case, the Mediterranean Sea contributes significantly to total precipitation (around 40%) in both months in semi-arid and arid regions of Africa while the European continent results differ depending on the season.Therefore, during January, the Mediterranean Sea contributes more than twice the precipitation recorded in areas over Ukraine, Turkey, and the European part of Russia.In July, the Italian and Iberian Peninsulas are the most affected areas where the moisture originating from the Mediterranean Sea can be greater than 40%, which was confirmed by numerous studies conducted in these regions.The Mediterranean Sea has been detected as the main moisture source [42,52].For the second case, the percentage between PFLEX-extreme and MSWEP-extreme exhibits quite similar behavior to the percentage between monthly climatological precipitation values.From the climatological point of view, during the winter season, the rainfall contribution from the Mediterranean Sea is highest over Central Europe (the Alps and the Carpathian Mountains), but, in the summer, the precipitation values originating from the Mediterranean are highest around the British Isles.During extreme events, the Mediterranean Sea is declared as the main moisture provider in the southern and western parts of the basin during January while, during July, this contribution is exhibited more over the northern side.The semi-arid and arid regions in Africa are areas where the Mediterranean contributes the least to extreme precipitation.
To summarize, the results showed that the spatial pattern of rainfall contribution from the Mediterranean source is similar for extreme precipitation years when compared to climatology.However, significant differences could occur locally particularly in any European region where the Mediterranean is not an important regular source for climatological precipitation but is a significant source in extreme precipitation years.

MSWEP-extreme Mean precipitation for the identified 5 years with the highest value of precipitation from MSWEP global precipitation database PFLEX-Cli
Monthly averaged value of E -P < 0 integrated over 10 days obtained from the forward Lagrangian experiment PFLEX-extreme Mean precipitation for the identified 5 years with the highest value of precipitation from FLEXPART monthly precipitation data

Figure 1 .
Figure 1.The black line contour indicates the area of the Mediterranean basin.The green-red colored portions represent elevation levels in meters (m).Data is taken from the HydroSHEDS project (Hydrological data and maps based on shuttle elevation derivatives at multiple scales (available online at https://hydrosheds.cr.usgs.gov).

Figure 1 .
Figure 1.The black line contour indicates the area of the Mediterranean basin.The green-red colored portions represent elevation levels in meters (m).Data is taken from the HydroSHEDS project (Hydrological data and maps based on shuttle elevation derivatives at multiple scales (available online at https://hydrosheds.cr.usgs.gov).

Figure 2 .
Figure 2. Monthly climatological values from MSWEP (0.25°) global precipitation database (MSWEP-Cli) for January (right panel) and July (left panel) over the area of Mediterranean basin for 1980-2015.Units in mm/day.White color over continents indicates where the MSWEP database does not report values.

Figure 2 .
Figure 2. Monthly climatological values from MSWEP (0.25 • ) global precipitation database (MSWEP-Cli) for January (right panel) and July (left panel) over the area of Mediterranean basin for 1980-2015.Units in mm/day.White color over continents indicates where the MSWEP database does not report values.

Figure 3 .
Figure 3. Mean precipitation for each grid point for the identified five years with the highest value of precipitation (MSWEP-extreme) for January (right panel) and July (left panel).Results are obtained from the MSWEP precipitation dataset, which considers a 36-year temporal period (1980-2015).Units in mm/day.White color over continents indicates where the MSWEP database does not report values during any of the five months computed.

Figure 3 .
Figure 3. Mean precipitation for each grid point for the identified five years with the highest value of precipitation (MSWEP-extreme) for January (right panel) and July (left panel).Results are obtained from the MSWEP precipitation dataset, which considers a 36-year temporal period (1980-2015).Units in mm/day.White color over continents indicates where the MSWEP database does not report values during any of the five months computed.

Water 2018 ,
10, x FOR PEER REVIEW 9 of 19 among the lowest, which indicates that these areas commonly experience extreme precipitation during the summer.

Figure 4 .
Figure 4. Ratio between MSWEP-extreme and MSWEP-Cli during January (right panel) and July (left panel).White areas over the continent indicate where the MSWEP database does not report values.

Figure 5 .
Figure 5. Monthly-averaged value of E − P < 0 integrated over ten days (PFLEX-Cli) between 1980 to 2015 obtained from the forward Lagrangian experiment for Mediterranean Sea during January (right panel) and July (left panel).Units in mm/day.White areas over continent are regions not influenced by the Mediterranean moisture.

Figure 4 .
Figure 4. Ratio between MSWEP-extreme and MSWEP-Cli during January (right panel) and July (left panel).White areas over the continent indicate where the MSWEP database does not report values.

Figure 4 .
Figure 4. Ratio between MSWEP-extreme and MSWEP-Cli during January (right panel) and July (left panel).White areas over the continent indicate where the MSWEP database does not report values.

Figure 5 .
Figure 5. Monthly-averaged value of E − P < 0 integrated over ten days (PFLEX-Cli) between 1980 to 2015 obtained from the forward Lagrangian experiment for Mediterranean Sea during January (right panel) and July (left panel).Units in mm/day.White areas over continent are regions not influenced by the Mediterranean moisture.

Figure 5 .
Figure 5. Monthly-averaged value of E − P < 0 integrated over ten days (PFLEX-Cli) between 1980 to 2015 obtained from the forward Lagrangian experiment for Mediterranean Sea during January (right panel) and July (left panel).Units in mm/day.White areas over continent are regions not influenced by the Mediterranean moisture.

Figure 6 .
Figure 6.Mean precipitation for each grid point was calculated by the Lagrangian experiment for moisture originating from the Mediterranean Sea (PFLEX-extreme) for the same five years, which was identified as MSWEP-extreme in January (right panel) and July (left panel) for a 36-year temporal period (1980-2016).Units in mm/day.White color over continents indicates where the PFLEX does not report values during any of the five months computed.

Figure 6 .
Figure 6.Mean precipitation for each grid point was calculated by the Lagrangian experiment for moisture originating from the Mediterranean Sea (PFLEX-extreme) for the same five years, which was identified as MSWEP-extreme in January (right panel) and July (left panel) for a 36-year temporal period (1980-2016).Units in mm/day.White color over continents indicates where the PFLEX does not report values during any of the five months computed.

Figure 9 .
Figure 9. Similar to Figure 8 but comparing the percentage between PFLEX-extreme and MSWEP-extreme during January (right panel) and July (left panel).White areas over the continent indicate where the PFLEX-Cli does not report values.Violet represents percentage values of 100% and the black color indicates those regions where the MSWEP precipitation dataset does not show values.

Figure 9 .
Figure 9. Similar to Figure 8 but comparing the percentage between PFLEX-extreme and MSWEP-extreme during January (right panel) and July (left panel).White areas over the continent indicate where the PFLEX-Cli does not report values.Violet represents percentage values of 100% and the black color indicates those regions where the MSWEP precipitation dataset does not show values.

Figure 9 .
Figure 9. Similar to Figure 8 but comparing the percentage between PFLEX-extreme and MSWEP-extreme during January (right panel) and July (left panel).White areas over the continent indicate where the PFLEX-Cli does not report values.Violet represents percentage values of 100% and the black color indicates those regions where the MSWEP precipitation dataset does not show values.