Journal cover Journal topic
Biogeosciences An interactive open-access journal of the European Geosciences Union
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Biogeosciences, 16, 135-165, 2019
https://doi.org/10.5194/bg-16-135-2019
Biogeosciences, 16, 135-165, 2019
https://doi.org/10.5194/bg-16-135-2019

Research article 16 Jan 2019

Research article | 16 Jan 2019

# Biogeochemical response of the Mediterranean Sea to the transient SRES-A2 climate change scenario

Mediterranean Sea biogeochemical response to transient climate change
Camille Richon1,a, Jean-Claude Dutay1, Laurent Bopp2, Briac Le Vu2, James C. Orr1, Samuel Somot3, and François Dulac1 Camille Richon et al.
• 1LSCE/IPSL, Laboratoire des Sciences du Climat et de l'Environnement, CEA-CNRS-UVSQ, Gif-sur-Yvette, France
• 2Laboratoire de Météorologie Dynamique, LMD/IPSL, Ecole Normale Supérieure – PSL Research Univ., CNRS, Sorbonne Université, Ecole Polytechnique, Paris, France
• 3CNRM, Université de Toulouse, Météo-France, CNRS, Toulouse, France
• anow at: Department of Earth, Ocean and Ecological Sciences, School of Environmental Sciences, University of Liverpool, Liverpool L69 3GP, UK
Abstract

The Mediterranean region is a climate change hotspot. Increasing greenhouse gas emissions are projected to lead to a substantial warming of the Mediterranean Sea as well as major changes in its circulation, but the subsequent effects of such changes on marine biogeochemistry are poorly understood. Here, our aim is to investigate how climate change will affect nutrient concentrations and biological productivity in the Mediterranean Sea. To do so, we perform transient simulations with the coupled high-resolution model NEMOMED8-PISCES using the high-emission IPCC Special Report on Emissions Scenarios (SRES) A2 socioeconomic scenario and corresponding Atlantic, Black Sea, and riverine nutrient inputs. Our results indicate that nitrate is accumulating in the Mediterranean Sea over the 21st century, while phosphorus shows no tendency. These contrasting changes result from an unbalanced nitrogen-to-phosphorus input from riverine discharge and fluxes via the Strait of Gibraltar, which lead to an expansion of phosphorus-limited regions across the Mediterranean. In addition, phytoplankton net primary productivity is reduced by 10 % in the 2090s in comparison to the present state, with reductions of up to 50 % in some regions such as the Aegean Sea as a result of nutrient limitation and vertical stratification. We also perform sensitivity tests to separately study the effects of climate and biogeochemical input changes on the future state of the Mediterranean Sea. Our results show that changes in nutrient supply from the Strait of Gibraltar and from rivers and circulation changes linked to climate change may have antagonistic or synergistic effects on nutrient concentrations and surface primary productivity. In some regions such as the Adriatic Sea, half of the biogeochemical changes simulated during the 21st century are linked with external changes in nutrient input, while the other half are linked to climate change. This study is the first to simulate future transient climate change effects on Mediterranean Sea biogeochemistry but calls for further work to characterize effects from atmospheric deposition and to assess the various sources of uncertainty.

1 Introduction

The Mediterranean Sea is enclosed by three continents and is surrounded by mountains, deserts, rivers, and industrialized cities. This evaporative basin is known as one of the most oligotrophic marine environments in the world . Because of its high anthropogenic pressure and low biological productivity, this region is likely to be highly sensitive to future climate change impacts .

Records of the past evolution of the Mediterranean circulation show that the Mediterranean has undergone abrupt changes in its circulation patterns over ancient times. In particular, high stratification events, characterized by the preservation of organic matter in the sediments, known as sapropels, have been recorded several times through geological history. The most recent of such event occurred 10 000 years ago and lasted about 3000 years. This accumulation of organic matter in the sediments is interpreted as the result of a strong stratification of the water column leading to suboxic deep layers (Rohling1991, 1994; Rossignol-Strick et al.1982; Vadsaria et al.2017). In more recent times, abnormal winter conditions have led to changes in deepwater formation, such as the eastern Mediterranean transient (EMT) event that occurred during the early nineties and had chemical impacts such as an increase in the Levantine basin salinity (Lascaratos et al.1999; Nittis et al.2003; Roether et al.2014; Theocharis et al.1999; Velaoras and Lascaratos2010). Also, changes in the north Ionian gyre circulation triggered the so-called Bimodal Oscillating System (BiOS) that influenced phytoplankton bloom in the Ionian Sea by modifying the water transport that led to modified nutrient distribution and altered local productivity . These events show that a semi-enclosed basin with short residence time of water (Robinson et al.2001) such as the Mediterranean Sea is highly sensitive to climate conditions and that perturbations of these conditions can modify the circulation, ultimately leading to changes in its biogeochemistry.

Future climate projections with high-emission scenarios for greenhouse gases simulate warming and reduced precipitation over the Mediterranean region (Giorgi2006; IPCC2012), leading to warmer and saltier seawater . As a result of these changes, the Mediterranean thermohaline circulation (MTHC) may significantly change with a consistent weakening in the western basin and a less certain response in the eastern basin for such high-emission scenarios . In all simulations under the A2 scenario, find an increased stratification index in 2100. This increase will likely weaken the vertical mixing and may reduce nutrient supply to the upper layer of the Mediterranean, a supply that is essential for phytoplankton to bloom .

Primary productivity in the ocean is influenced by its circulation and vertical mixing that brings available nutrients to phytoplankton . Changes in physical processes such as modification of vertical mixing can have dramatic effects on plankton community dynamics and ultimately on the productivity of the entire oceanic food web . Few studies have investigated the sensitivity of the oligotrophic Mediterranean Sea to future climate change (Herrmann et al.2014). investigated the effects of the A1B SRES (Special Report on Emissions Scenarios) moderate climate change scenario on the Mediterranean biological productivity and plankton communities. They performed short (10 year) non-transient simulations at the beginning and the end of the 21st century and found a decreasing trend of phytoplankton biomass in response to this climate change scenario. simulated a “baseline” of expected consequences of climate change alone on the Mediterranean primary productivity. Under the RCP4.5 and RCP8.5 scenarios, their simulated integrated primary productivity over the eastern Mediterranean basin increased as a result of changes in density (decreased stratification). However, those results depend on non-transient simulations and present-day nutrient inputs. The response of the Mediterranean biogeochemistry to transient climate and biogeochemical change scenarios has not been evaluated.

As a semi-enclosed oligotrophic basin, the Mediterranean is highly sensitive to external nutrient sources. Those sources include coastal runoff, river discharge , inputs from the Atlantic via the Strait of Gibraltar , and atmospheric deposition (Christodoulaki et al.2013; Dulac et al.1989; Gallisai et al.2014; Guieu et al.2014; Richon et al.2017, 2018). Other potentially important sources of nutrient supply include direct wastewater discharge and transfer by submarine groundwater . However, these two potential sources have yet to be quantified well. This study aims to assess the biogeochemical response of the Mediterranean to a “business-as-usual” climate change scenario during the 21st century, while distinguishing effects from climate change, nutrient input from rivers, and changes in nutrient transport across the Strait of Gibraltar. Thus we used the high-resolution coupled physical–biogeochemical model NEMOMED8-PISCES to simulate the evolution of biogeochemical tracers (e.g., nutrients, chlorophyll a concentration, plankton biomass, and primary production) under the SRES-A2 climate change scenario over the 21st century . The choice of that scenario was driven by the availability of daily 3-D forcings for the biogeochemical model (Adloff et al.2015). Although results from single-simulation scenario must be used with caution, it is not currently feasible to make a more extensive assessment because of the computational requirements to perform large ensembles with NEMOMED8-PISCES offline model, and because the 3-D daily ocean transient forcing data are not available from simulations made with other scenarios.

This article is organized as follows. The coupled model, forcings and the different simulations are first described. We briefly evaluate the biogeochemical model in Sect. 3.1 and present the evolution of the physical and biogeochemical forcings in Sect. 3.2. In Sect. 3.3, we expose the temporal evolution of the main nutrients and their budgets in present and future conditions and discuss their impact on the biogeochemistry of the Mediterranean Sea in Sect. 4.

2 Methods

## 2.1 The ocean model

The ocean general circulation model used in this study is NEMO (Madec2008) in its regional configuration for the Mediterranean Sea (Beuvier et al.2010). The NEMOMED8 grid has a horizontal resolution of $\mathrm{1}/\mathrm{8}{}^{\circ }$ stretched in latitude (i.e., with a resolution from 9 km in the north to 12 km in the south of the domain). The model has 43 vertical levels with varying thicknesses (from 6 m in the surface layer to 200 m in the deepest layer). The Atlantic boundary is closed at 11 W, and tracers are introduced in a buffer zone between 11 and 6 W.

Air–sea fluxes (momentum, heat, water) and river discharge used to force NEMOMED8 are prescribed by the atmospheric regional climate model ARPEGE-Climate using a global and stretched grid, which has a 50 km horizontal resolution over the area of interest.

## 2.2 The SRES-A2 scenario simulation

ARPEGE-Climate is, itself, driven by greenhouse gases (GHG) and aerosol forcings following the observations (up to year 2000) and the SRES-A2 scenario afterwards and by SST (sea surface temperature) coming from a previously run CNRM-CM coupled GCM (general circulation model) simulation . In addition, the ocean component of CNRM-CM (a low-resolution NEMO version) provides the near-Atlantic conditions (3-D potential temperature and salinity) for NEMOMED8. The various forcings and the modeling chain from the GCM to the ocean regional model are described in detail in and .

The NEMOMED8 simulation (ocean physics and forcings) used here corresponds to one of the simulations used by , i.e., their simulations labeled HIS (historical period 1961–1999) and A2 (A2 scenario period 2000–2099) as listed in their Table 1. This physical simulation was previously used to study impacts of climate change on Mediterranean Sea ecosystems .

The main physical changes (SST, SSS – sea surface salinity, surface circulation, deep convection and thermohaline circulation, vertical stratification, and sea level) are detailed in . Briefly, changes in temperature and precipitation in the A2 scenario lead to increased evaporation in the basin by 2100. Freshwater input from rivers and the Black Sea decreases along with total precipitation, which in turn contributes to a substantial increase in net transport through the Strait of Gibraltar (+0.018 Sv by the end of the century).

The average SST of the Mediterranean rises by up to 3 C by the end of the century. However, that warming is not homogeneous across the basin, with regions such as the Balearic, Aegean, Levantine, and north Ionian undergoing greater warming (>3.4  C) probably due to the addition of the atmosphere-originated quasi-homogeneous warming being combined with local changes in surface currents. The salinity increases by 0.5 (practical salinity units) on average across the basin. These changes in hydrological characteristics generate substantial changes in the circulation and, in particular, the vertical mixing intensity. Under the A2 scenario, the Mediterranean basin is projected to become more stratified by 2100. Consequently, deepwater formation is generally reduced.

## 2.3 The biogeochemical model

Here, the physical model NEMOMED8 is coupled to the biogeochemical model PISCES , already used for investigations in the Mediterranean basin . This Monod-type model (Monod1958) has 24 biogeochemical compartments, including two phytoplankton (nanophytoplankton and diatoms) and two zooplankton size classes (microzooplankton and mesozooplankton). Phytoplankton growth is limited by the external concentration of five different nutrients: nitrate, ammonium, phosphate, silicic acid, and iron. In this version of PISCES, elemental ratios of $\mathrm{C}:\mathrm{N}:\mathrm{P}$ in the organic matter are fixed to $\mathrm{122}:\mathrm{16}:\mathrm{1}$, following . There is no explicit bacterial compartment, but bacterial biomass is calculated using zooplankton biomass (Aumont and Bopp2006). Organic matter is divided into two forms: dissolved organic carbon (DOC) and particulate organic carbon. The biogeochemical model was run in offline mode (Palmieri et al.2015); biogeochemical quantities are passive tracers, and they are transported following an advection–diffusion equation using dynamical fields (velocities, mixing coefficients, etc.) pre-calculated in a separate simulation with only the dynamical model NEMOMED8.

## 2.4 Boundary and initial physical and biogeochemical conditions

External nutrient supply for the biogeochemical model includes inputs from the Atlantic Ocean and from Mediterranean rivers. We did not include submarine groundwater discharge and direct wastewater discharge, as there is, to date, no climatology for these sources. Atlantic input is prescribed from water exchange through the Strait of Gibraltar in the NEMO circulation model along with the concentrations of biogeochemical tracers in the buffer zone. Nutrient concentrations in the buffer zone are prescribed from a global ocean climate projection using the A2 simulation values from IPSL-CM5-LR performed within the framework of the CMIP5 project . Nutrient concentrations in the buffer zone are relaxed to these values with a time constant of 1 month.

Nutrient inputs from rivers, including ${\mathrm{NO}}_{\mathrm{3}}^{-}$, ${\mathrm{PO}}_{\mathrm{4}}^{\mathrm{3}-}$ (hereafter noted NO3 and PO4), and DOC are derived from . Dissolved inorganic carbon (DIC) and Si are derived from . For the 21st century, we use the estimations for nutrient discharge proposed by following the “Order from Strength” scenario from the Millennium Ecosystem Assessment (Cork et al.2005), which gives nitrate, phosphate, and DOC discharge per sub-basin in 2030 and 2050. Yearly values are obtained by linear interpolation between 2000 and 2030 and between 2030 and 2050, after which they are held constant until the end of the simulation in 2100. Seasonal variability coming from four of the largest rivers for Mediterranean and Black Sea (Rhône, Po, Ebro, and Danube) is also included. According to , the future trends in nutrient discharge from the major rivers of the Mediterranean stay within the interannual variability of the past 40 years. The “Order From Strength” scenario is based on hypotheses of very little efforts made towards mitigation of climate change. Moreover, point out some substantial changes in the nutrient and water budget in specific regions. In particular, according to their scenario, the northern part of the Mediterranean has decreasing trends in nitrate discharge, whereas it is increasing in the southeastern Levantine basin.

There is, to our knowledge, no transient scenario for the evolution of atmospheric deposition over the Mediterranean Sea. However, in order to evaluate the potential effects of aerosol deposition on the future Mediterranean Sea, we used deposition fields of total nitrogen deposition (NO3+NH4) from the global model LMDz-INCA and phosphate deposition from natural dust modeled with the regional model ALADIN-Climat respectively (Richon et al.2017). The atmospheric deposition fields represent present-day aerosol deposition fluxes (1997–2012 and 1980–2012 for total nitrogen and dust deposition respectively) that are repeated over the 1980–2099 simulation period.

Initial nutrient concentrations in the Mediterranean come from the SeaDataNet database and initial nutrient concentrations in the buffer zone are prescribed from the (Locarnini et al.2006). Salinity and temperature are initialized from the Mediterranean Data Archaeology and Rescue (MEDAR/MEDATLAS) II climatology of .

All simulations began from a restart of a historical run that started in January 1965 following a spin-up of more than 115 years made with a loop over the 1966–1981 period for the physical forcings and the river nutrient discharge.

## 2.5 Simulation setup

All simulations were made for 120 years. The control run CTRL was made with forcing conditions corresponding to the 1966–1981 period looped over the simulation period. This period was chosen in order to avoid the years with excessive warming such as the 1980s and 1990s in the CTRL (Adloff et al.2015). The scenario simulation is referred to as HIS/A2 as in . The HIS refers to the historical period (in our case between 1980 and 1999), while A2 is the name of the 2000–2099 scenario simulation.

In order to separately quantify the effects of climate and biogeochemical changes, we made two additional control simulations: (1) CTRL_R with climatic and Atlantic conditions corresponding to present-day conditions (no scenario for climate change or nutrient fluxes through the Strait of Gibraltar) and river nutrient discharge following the scenario evolution and (2) CTRL_RG with present-day climatic conditions but river nutrient discharge and Atlantic buffer-zone concentrations following the scenario conditions. Table 1 describes the different simulations. The different effects are computed by taking differences between simulations. The effects of nutrient input from exchange across the Strait of Gibraltar and from riverine discharge independent of climate effect are derived by taking CTRL_R minus CTRL and CTRL_RG minus CTRL_R. Similarly, to derive the effects of climate change and nutrient input change on nutrient budgets, we use the difference between HIS/A2 and CTRL. To derive the effects of climate change only, we calculate the difference between HIS/A2 and CTRL_RG.

Table 1Description of the simulations. The years indicate the forcing years throughout the 120 years of simulation. The cycles are repeated in the CTRL simulations.

We made two supplementary simulations, one with total nitrogen deposition (HIS/A2_N) and another with total nitrogen and natural dust deposition (HIS/A2_NALADIN). These simulations include climate change and nutrient fluxes from rivers and via the Strait of Gibraltar that follow the scenario conditions. The results from these simulations should be considered as exploratory. Nonetheless, they provide insight into the potential effects of future aerosol deposition.

3 Results

## 3.1 Evaluation of the NEMOMED8-PISCES model

NEMOMED8 has already been used in a number of regional Mediterranean Sea modeling studies, either in hindcast mode or scenario mode . It produces the main characteristics of the Mediterranean Sea circulation. Evaluation of the HIS simulation provided in shows that the main physical characteristics of the Mediterranean are produced, in spite of an upper layer that is too cold (1 C colder than observations) and too little stratification in comparison to observations. In particular, the HIS simulation matches the observed thermohaline circulation in the Adriatic and Ionian basins closely (Adloff et al.2015).

Figure 1Average surface Chl a concentration from the CTRL (a: 1980–1999, b: 2080–2099) and HIS/A2 (c) simulations and from satellite estimations (MyOcean dataset in 1997–2012: d).

The regional NEMOMED physical model has already been coupled to the biogeochemical model PISCES on a $\mathrm{1}/\mathrm{12}{}^{\circ }$ grid horizontal resolution , but no future climate simulation has yet been performed. As the first study coupling NEMOMED8 with PISCES, we compared the main biogeochemical features of our simulations with available data. Figure 1 shows the surface average chlorophyll concentrations in the top 10 m of the CTRL and HIS/A2 simulations and from satellite estimations from MyOcean dataset (http://marine.copernicus.eu/services-portfolio/access-to-products/?option=com_csw&view=details&product_id=OCEANCOLOUR_MED_CHL_L4_NRT_OBSERVATIONS_009_041, last access: 15 December 2018). Whenever we refer to chlorophyll, we always mean chlorophyll a (hereafter noted Chl a). The model correctly reproduces the main regions high in Chl a such as the Gulf of Lion and coastal areas. However, Fig. 1 shows an underestimation of about 50 % of the surface Chl a concentrations by the model in these productive areas. The west-to-east gradient of productivity is also reproduced by the model with values that agree with satellite estimates (approximately 50 % decrease in average Chl a concentration between the western and the eastern basin in the satellite data and 30 % to 50 % in the model). Moreover, this figure shows that Chl a produced by the CTRL is stable over time. The model fails, however, to reproduce the observed areas rich in Chl a in the Gulf of Gabès and at the mouth of the Nile. This discrepancy is probably linked with insufficient simulated nutrient discharge from coastal runoff in these regions. Moreover, several studies (Claustre et al.2002; Morel and Gentili2009) show that satellite estimates have a systematic positive bias in the coastal regions because of the presence of particulate matter (for instance, sediments). The general bias observed in the Mediterranean is linked with organic matter and the presence of dust particles in seawater which cause light back scattering. Figure 2 provides an evaluation of the average normalized Chl a surface concentration evolution over the entire basin for the period 1997–2005. This figure shows that the normalized Chl a surface concentration in the model is close to the estimates provided by the SeaWiFS satellite data . Even though the interannual variability of the model is 50 % smaller than in the satellite product, the model captures the increase in Chl a concentration between 2002 and 2005 (approximately 15 % of increase in the model and 30 % in the satellite data). The evaluation of the model against two datasets shows that the model yields satisfying estimates of surface Chl a.

Figure 2Average surface Chl a concentration from the HIS/A2 simulation in blue and from the SeaWiFS satellite data in red over the period 1997–2005. Shaded colors represent the standard deviations. Values are normalized by dividing by the average chlorophyll concentration over the period.

The vertical distribution of nitrate and phosphate over a section crossing the Mediterranean from east to west as well as Chl a and nutrient concentration profiles at the DYFAMED station are shown in the Appendix (Figs. A1 and A3). These figures show that the model produces some seasonal and interannual variability of the nutricline depth and intensity. However, the nutricline depth and deep Chl a maximum (DCM) depth are consistently overestimated by the model in comparison to the data. The nutricline intensity seems to be underestimated by about 50 %, and its depth is overestimated. However, nutricline depth deepens from 100–120 to 180–200 m between the western and the eastern basins (see Fig. A3). The average Chl a concentration observed at the DYFAMED station in the top 200 m is 233±146 ng L−1 (average over the 1991–2005 period), while the model value for the HIS/A2 simulation over the same period is 159 ±87 ng L−1 (Fig. A1).

In spite of some underestimation of nutrient concentrations that are probably linked with the features of the simulated intermediate and deepwater characteristics, the PISCES model reproduces the main characteristics of the Mediterranean biogeochemistry, including a salient west-to-east gradient in nutrient concentrations, low surface nutrient concentrations, and a DCM. These performances lend credence to our efforts to investigate the evolution of the Mediterranean biogeochemistry under the A2 climate change scenario with the same modeling platform.

## 3.2 Evolution of temperature and salinity

Average SST and SSS evolution in the entire basin during the CTRL and HIS/A2 simulations are shown in Fig. 3, which confirms results from and shows that the CTRL simulation is stable over time. Beyond this basin-wide average variation in SST and SSS, a more detailed analysis reveals much greater variability depending on the region . For instance, the Balearic Sea is more sensitive to warming than the rest of the western basin, and the eastern basin has a more intense warming than the western basin (up to 3 C warming in the eastern basin and in the Balearic Sea). Also, the surface salinity in the Aegean Sea increases more than the other regions.

Figure 3Evolution of average Mediterranean SST (a) and SSS (b) in the CTRL (grey) and HIS/A2 (blue) simulations.

## 3.3 Evolution of the nutrient budgets in the Mediterranean Sea

The nutrient budgets of the semi-enclosed Mediterranean basin are highly dependent on external sources (Christodoulaki et al.2013; Huertas et al.2012; Ludwig et al.2009, 2010). We first looked at the evolution of phosphate and nitrate fluxes in and out of the Mediterranean during our simulations. Then, in order to map the effects of climate change and external nutrient flux evolution on the Mediterranean nutrient balance, we calculated mass budgets of inorganic nitrate and phosphate during the simulated period. Finally we calculated the evolution of nutrient concentrations in different layers of the Mediterranean in order to point out the different effects of climate and nutrient fluxes on surface, intermediate, and deep waters. The nutrient budgets account for changes in Atlantic input, river discharge, and sedimentation. Nitrate can also accumulate in the Mediterranean waters through N2 fixation by cyanobacteria, but this process accounts for less than 1 % of the total nitrate budget and is neglected here.

In this section, we refer to the period 1980–1999 as the beginning of the century, to the period 2030–2049 as the middle of the century, and to the period 2080–2099 as the end of the century.

### 3.3.1 Fluxes of nutrients through the Strait of Gibraltar

The Mediterranean is connected to the global ocean by the narrow Strait of Gibraltar. Water masses transported through this strait contribute substantially to its water and nutrient budgets (Gómez2003; Huertas et al.2012). The Mediterranean is a remineralization basin that has net negative fluxes of inorganic nutrients (Huertas et al.2012). Figure 4 shows the evolution of incoming and outgoing nitrate and phosphate fluxes through the Strait of Gibraltar in the HIS/A2 and in the CTRL simulations. We observe similar trends in phosphate and nitrate fluxes in the model. This commonality is linked to the Redfieldian behavior of the primary production in PISCES. The nutrient fluxes through the Strait of Gibraltar result from both the evolution of water fluxes, from NEMOMED8, and from the evolution of nutrient concentrations in the buffer zone from the A2 scenario of .

Figure 4Evolution of total incoming (a) and outgoing (b) fluxes of nitrate and phosphate (109 mol month−1) through the Strait of Gibraltar in the CTRL (grey) and HIS/A2 (red) simulations. Negative values indicate outgoing fluxes of nutrients.

In the HIS/A2 simulation, the incoming flux of nitrate decreases from 50 to 35 Gmol month−1, while that for phosphate drops from 2.5 to 1.6 Gmol month−1 until the middle of the century despite a period of increased incoming fluxes of both these nutrients in the 1990s. After 2050, fluxes increase to reach values higher than the control in the last 25 years of simulations (Fig. 4). By 2100, incoming nutrient fluxes have increased in the A2 scenario simulation by 13 % (2080–2099 minus 1980–1999 periods). This increase is statistically significant, with a linear regression having a positive slope with a correlation coefficient greater than 0.75 and a p value < 0.001. Furthermore, this increase follows a decrease of over 20 % in incoming nutrient fluxes between the 1980–1999 and the 2030–2049 periods. Most of the decrease is observed between 2030 and 2040, with a decrease of 15 and 1 Gmol month−1 for nitrate and phosphate respectively during this decade.

Outgoing fluxes through the Strait of Gibraltar follow the same trends as incoming fluxes; total outgoing nitrate and phosphate fluxes decrease from 1980 to 2040, with flux values getting closer to zero and then increasing until the end of the century. We observe a decreasing trend in the nitrate outgoing flux in the control from −129 to −110 Gmol month−1, representing about a 15 % flux decrease. Over the simulation, outgoing nutrient fluxes increase less than incoming nutrient fluxes. The increase in outgoing nitrate and phosphate flux is less than 5 % (Fig. 4). The relative changes in incoming and outgoing fluxes indicate an increase in the net incoming flux of about 5 %. The net flux at the beginning of the century is around −83 Gmol month−1 for nitrate and −3 Gmol month−1 for phosphate. At the end of the century, the fluxes are about −80 and 2.5 Gmol month−1 for nitrate and phosphate respectively. Also, these net fluxes are close to the CTRL net fluxes.

### 3.3.2 River fluxes of nutrients

River discharge is the main external source of phosphate for the eastern part of the basin . Figure 5 shows the total discharge of phosphate and nitrate from rivers to the Mediterranean Sea.

Phosphate discharge decreases by 25 % between the beginning and the end of the simulation period. As suggested by , phosphate discharge in the A2 period stays lower than in the HIS period, in spite of a small discharge enhancement between 2030 and 2049.

Nitrate riverine discharge in the HIS/A2 simulation is substantially higher than in the CTRL simulation by 30 to 60 Gmol month−1. The total river discharges of nitrate into the Mediterranean Sea has increased continuously from the 1960s (see the CTRL values for the years 1966–1981). According to the HIS/A2 simulation, total river nitrate discharge is 24 % larger during 2080–2099 than during 1980–1999.

### 3.3.3 Sedimentation

Sedimentation removes nutrients from the Mediterranean Sea. In this version of PISCES, the loss of nitrogen and phosphorus to the sediment is calculated from the sinking of particulate organic carbon (POC) to the sediment (linked through the Redfield ratio). Sediment fluxes of phosphorus and nitrogen during the simulations are shown in Fig. 6.

The nutrient loss to the sediment decreases rapidly during the HIS simulation (1980–1999) and remains low during the 21st century, although it exhibits substantial interannual variability in the sedimentation fluxes. By the end of the 21st century, sedimentation of phosphorus and nitrogen are almost 50 % lower relative to the 1980 fluxes.

Table 2Simulated integrated phosphate content (109 mol) over 20-year periods in the Mediterranean sub-basins in the different simulations. Basins are the same as defined in Fig. 2 of , with the eastern basin including the Ionian, Levantine, Adriatic, and Aegean sub-basins. Values in parenthesis indicate the percentage difference from the 1980–1999 period.

### 3.3.4 Phosphate and nitrate budgets under climate and biogeochemical changes in the Mediterranean

Tables 2 and 3 summarize the average phosphate and nitrate water column content in all simulations for the three time periods described earlier.

Figure 5Evolution of total river discharge fluxes of nitrate and phosphate (109 mol month−1) to the Mediterranean Sea in the CTRL (grey) and HIS/A2 (red) simulations.

Total phosphate content in the entire Mediterranean grew in our HIS/A2 simulation by 6 % over the 21st century, as determined by the difference between CTRL and HIS/A2 simulations between 1980–1999 and 2080–2099. The increase is larger in the eastern basin than in the western basin. In particular, there is an 8 % increase in phosphate content in the Ionian–Levantine sub-basin. Nutrient content in the HIS/A2 simulation is affected by both climate and nutrient fluxes from external sources (rivers and fluxes via the Strait of Gibraltar). The effects of changes in riverine input of phosphate are derived from the CTRL_R simulation (see also Fig. 5). The difference of phosphate content between CTRL and CTRL_R are substantial over the first half of the century. We observe 3 % decrease in phosphate content in the entire Mediterranean between 1980–1999 and 2030–2049 due to river input changes (difference between CTRL_R and CTRL). Changes in phosphate fluxes through the Strait of Gibraltar seem to have limited effect on the global Mediterranean phosphate content, as revealed by the small difference between the beginning and the end of simulation CTRL_RG. Conversely, climate change enhances the basin-wide phosphate content by 10 % in 2080–2099 relative to 1980–1999 (HIS/A2 minus CTRL_RG). Thus future changes in climate and external nutrient supply may have opposite effects on nutrient concentrations in the Mediterranean.

Table 3Simulated integrated nitrate content (109 mol) over 20-year periods in the Mediterranean sub-basins in the different simulations. Basins are the same as defined in Fig. 2 of , with the eastern basin including the Ionian, Levantine, Adriatic, and Aegean sub-basins. Values in parenthesis indicate the percentage difference from the 1980–1999 period.

Table 3 shows that by 2100, in HIS/A2 the combined effects of climate change, riverine, and Atlantic nutrient input changes over the 21st century lead to a 17 % basin-wide increase in nitrate content when compared to CTRL. Changes in river discharge lead to 9 % larger nitrate content by the end of the century (2080–2099) compared to the beginning of the simulation period (1980–1999). The most important effects of river input changes are observed in the Adriatic basin (over 50 % nitrate accumulation by the end of the century). The largest effects from river input changes are found in the Adriatic basin (>50 % nitrate accumulation by the end of the century). Across the Mediterranean, there is only a weak (<1 %) effect on nitrate content from changes in the fluxes through the Strait of Gibraltar. In the western basin, the comparison of CTRL_R and CTRL_RG reveals a 3 % decline in nitrate content during the 2030–2049 period followed by an increase, reaching +1 % in 2080–2099 relative to 1980–1999. Finally, climate change enhances basin-wide nitrate content by 7 % between 1980–1999 and 2080–2099 periods (HIS/A2 minus CTRL_RG). Thus river inputs and climate change are the main causes for changes in basin-wide nitrate content during the 21st century.

Figure 6Evolution of total sedimentation fluxes of N and P (109 mol month−1) in the Mediterranean Sea in the CTRL (grey) and HIS/A2 (red) simulations. Negative fluxes indicate that the nutrients are exiting the Mediterranean waters.

These global nutrient budgets reveal that climate change and external nutrient fluxes to the Mediterranean can influence its nutrient content in different, sometimes even in opposing, directions. In particular, river inputs have large effects on nutrient content in the eastern basin, while input through the Strait of Gibraltar has limited effects on the nutrient content, even in the western basin.

Figure 7Evolution of yearly average phosphate concentration (10−3 mol m−3) in the surface (a, d), intermediate (b, e), and bottom (c, f) layers in the western (a, b, c) and eastern (d, e, f) basin. Red lines represent the HIS/A2 simulation, black lines represent the CTRL (with standard deviation), and blue and light blue lines represent the CTRL_R and CTRL_RG simulations respectively. Colored numbers in the highlighted areas represent the average concentrations in the corresponding simulations for the highlighted time periods.

### 3.3.5 Continuous evolution of phosphate and nitrate concentrations

In order to observe the continuous evolution of nutrient concentrations in different layers over the 21st century, we plotted the evolution of phosphate and nitrate concentrations for the entire simulation period in the western and eastern basins in the surface (0–200 m), intermediate (200–600 m), and deep (>600 m) layers (Figs. 7 and 8). With the separation between western and eastern basin being the Strait of Sicily, the eastern basin includes the Ionian, Levantine, Adriatic, and Aegean basins.

Figure 8Evolution of yearly average nitrate concentration (10−3 mol m−3) in the surface (a, d), intermediate (b, e), and bottom (c, f) layers in the western (a, b, c) and eastern (d, e, f) basins. Red lines represent the HIS/A2 simulation, black lines represent the CTRL (with standard deviation), and blue and light blue lines represent the CTRL_R and CTRL_RG simulations respectively. Colored numbers in the highlighted areas represent the average concentrations in the corresponding simulations for the highlighted time periods.

### Phosphate

As shown in Fig. 7a and b, until the middle of the century, the phosphate concentration in HIS/A2 decreases by about 0.015 mmol m−3 in the surface layer and by 0.017 mmol m−3 in the intermediate layer of the western basin. After 2050, phosphate concentration increases again until the end of the century, reaching concentrations that are similar to those in 1980 in the surface layer but reaching values at intermediate depths that are about 0.01 mmol m−3 higher than in that reference year. Figures 7a and 4b show that the evolution of surface phosphate concentration in the western basin in CTRL_RG and HIS/A2 are similar. The Pearson correlation coefficient between the western basin phosphate concentration in HIS/A2 and incoming phosphate fluxes through the Strait of Gibraltar is 0.85, with the p value < 0.01. Thus the phosphate concentration in the western basin appears to be influenced by phosphate inputs through the Strait of Gibraltar. However, Fig. 7a shows that the difference in surface phosphate concentrations in the western Mediterranean in the CTRL_RG and CTRL_R simulations differ substantially only after about 2070. Thus the similar evolution of the phosphate concentration in HIS/A2 and the incoming phosphate fluxes through the Strait of Gibraltar throughout the simulation period may be linked to changes in physical conditions. In this very dynamic Mediterranean region, changes in physical conditions linked with climate change precondition the western basin to become more sensitive to nutrient fluxes through the Strait of Gibraltar.

A slight accumulation of about 0.015 mmol m−3 of phosphate is simulated in the HIS/A2 simulation in the deep western basin. The large difference between the HIS/A2 simulation and the control runs (over 0.010 mmol m−3 by the end of the century) shows that the evolution of the Mediterranean physics linked with climate change is primarily responsible for the changes in phosphate concentration in the intermediate and deep western basin. Climate change also decreases sediment fluxes (see Fig. 6) and increases stratification, thus isolating most of the phosphate pool from the surface.

Phosphate concentrations in the eastern part of the basin are lower than in the western part. Figure 7 illustrates the 50 % lower phosphate concentration in the surface layer, the roughly 30 % lower concentration in the intermediate layer, and the 15 % to 20 % lower concentration in the deep layer. In the surface layer, phosphate concentration declines in the beginning of the simulation, from 0.022 mmol m−3 in 1980 to less that 0.015 mmol m−3 in 2000, and remains low during the 21st century (Fig. 7d). There is, however, a large interannual variability in surface phosphate concentration, with peaks up to 0.025 mmol m−3 in 2060. But the HIS/A2 simulation values are consistently below the CTRL concentrations, showing an important effect of climate change on surface phosphate reduction. We observe, in Fig. 7e and f, an accumulation of phosphate in the intermediate and deep layers of 17 % and 13 % respectively, with large decennial variability of phosphate concentration in the deep eastern basin. In both of these layers, HIS/A2 concentrations are higher than the CTRL concentrations (over 0.015 mmol m−3 higher by the end of the century). These results show that the evolution of phosphate concentrations in the eastern Mediterranean throughout the 21st century is mainly driven by climate change. Indeed, Fig. 7 shows that average PO4 concentrations in CTRL, CTRL_R, and CTRL_RG are similar for all periods in the eastern basin.

### Nitrate

In the surface of the western basin, nitrate evolutions in the HIS/A2 and CTRL_RG simulations are similar, confirming the regulating effects of fluxes through the Strait of Gibraltar (Fig. 8d). We observe an accumulation of nitrate in the HIS/A2 simulation in the intermediate and deep Mediterranean waters, between 9 % and 20 % (Fig. 8b, c, e, and f). In the intermediate layer, nitrate concentration in the HIS/A2 simulation decreases from 4.1 to 3.6 mmol m−3 between 1980 and 2030. After 2030, it increases again, up to 4.3 mmol m−3. In the deep western basin, we observe a slight decrease in nitrate concentration in the controls, from 4.4 to about 4.2 mmol m−3. In HIS/A2, nitrate concentration follows the decrease of the controls until approximately 2020; then, there is a slight accumulation from 4.5 to 4.8 mmol m−3 until the end of the century. Thus, physical changes linked with climate change have little effect on nitrate concentrations in the deep western Mediterranean until approximately 2020. Significant differences between HIS/A2 and CTRL appear in the middle of the 21st century.

In the eastern basin, the impacts of river discharge of nitrate seem to have large influence on the nitrate accumulation, as shown by the similar evolution of HIS/A2 and CTRL_R simulations (Fig. 8d, e, and f). Figure 8d shows the contrasting effects of climate and biogeochemical changes. The strong difference between CTRL_R and CTRL concentrations at the beginning of the simulation (almost 0.4 mmol m−3) indicates that riverine nutrient discharge has a strong influence on surface nitrate concentrations in the eastern basin and is responsible for an important part of the eastern Mediterranean nitrate budget (see also Table 3). But the strong difference between CTRL_R and HIS/A2 at the end of the century indicates that vertical stratification leads to a decrease in surface layer nitrate concentrations, probably linked with both lower winter mixing and nutrient consumption by phytoplankton. In the intermediate and deep layers, the evolution of physical conditions has a similarly large impact on the nitrate concentrations in the eastern basin, as shown by the difference between CTRL_R and HIS/A2 (see also Table 3). In particular, nitrate concentrations increase by about 0.5 mmol m−3 between 1980 and 2099 in the deep eastern basin. Approximately 50 % of this accumulation is due to river discharge. The large differences between the CTRL simulations and the HIS/A2 show that the modification of circulation resulting from climate change has substantial impacts on the deep and intermediate nutrient concentrations.

Evaluating the evolution of nutrient concentrations separately in different layers of the Mediterranean Sea shows that external nutrient fluxes primarily affect the surface in the western basin, whereas climate change affects the entire water column. Also, climate and nutrient fluxes may have opposite effects on surface nutrient concentration. This leads to different trends in nutrient concentrations in the surface layer and in the intermediate and deep layers. In particular, surface nitrate in the eastern basin is observed to increase as a result of increased river discharge, but climate change effects lower concentrations in HIS/A2 (see Fig. 8d). On the other hand, climate and river discharge of nitrate have similar effects on the intermediate and deep eastern layers, leading to the simulated increase in nutrient content (Tables 2 and 3).

Figure 9Present (1980–1999, top) interannual average surface (0–200 m) concentrations of nitrate (10−3 mol m−3) in the CTRL (a, c) and HIS/A2 (b, d) simulations. The bottom maps show the percentage of relative difference between the 2080–2099 and the 1980–1999 periods in the CTRL (a, c) and HIS/A2 (b, d) simulations.

Figure 10Present (1980–1999, a, b) interannual average surface (0–200 m) concentrations of phosphate (10−3 mol m−3) in the CTRL (a, c) and HIS/A2 (b, d) simulations. (c) and (d) show the percentage of relative difference in primary production between the 2080–2099 and the 1980–1999 periods in the CTRL (a, c) and HIS/A2 (b, d) simulations.

## 3.4 Surface nutrient concentrations, primary productivity, and nutrient limitations

Figures 9 and 10 show the average surface concentrations of nitrate and phosphate in the beginning of the century (1980–1999) and the relative concentration differences for the end of the century in the HIS/A2 and CTRL simulations. Figure 9 confirms the previous results showing an accumulation of nitrate in large zones of the basin by the end of the century, except for the southwestern part of the western basin (Alboran Sea); the Gulf of Lion; the northern Levantine around the Rhodes Gyre and Crete; and small areas in the southeastern Levantine, Tyrrhenian, and Algerian basins.

Figure 11Present (1980–1999, a, b) interannual average surface (0–200 m) integrated primary production (gC m−2) in the CTRL (a, c) and HIS/A2 (b, d) simulations. The bottom maps show the percentage of relative difference between the 2080–2099 and the 1980–1999 periods in the CTRL (a, c) and HIS/A2 (b, d) simulations.

On the contrary, Fig. 10 shows that the surface phosphate concentration is decreasing over most of the Mediterranean basin except near the mouth of the Nile, the Ionian basin, the Algerian basin, the Tyrrhenian basin, between Crete and Cyprus, and in the Alboran Sea. The specific concentrations observed next to the mouth of the Nile are linked to an inversion of the N:P ratio in this river in our scenario (i.e., an increase in P discharge and a decrease in N discharge). The distribution of surface phosphate concentration at the end of the century (2080–2099) shows that all P-rich areas of the eastern basin at the beginning of our simulations are depleted by the end of the simulation. For instance, the P-rich areas around Crete and Cyprus no longer exist in the 2080–2099 period (Fig. 10). Moreover, Fig. 11 shows that these areas match zones of high productivity. All the most productive zones of the beginning of the century are reduced in size and intensity by the end of the century. For instance, there is a 10 % to 40 % decrease in primary production in the Gulf of Lion and around the Balearic Islands and more than a 50 % reduction in the North Adriatic basin, in the Aegean Sea, and in the eastern Levantine basin around Cyprus. There is also a reduction in primary productivity from 40–50 to 20–30 gC m−2 yr−1 around Cyprus. These mesoscale changes may be linked with changes in local circulation (e.g., mesoscale eddies). These observations show that the evolution of the Mediterranean biogeochemistry is influenced by both meso- and large-scale circulations patterns. The simulated basin-wide vertical integral of primary production over the euphotic layer (0–200 m) declines by 10 % on average between 1980–1999 and 2080–2099. However, there is a productivity decrease of more than 50 % in areas such as the Aegean Sea and the Levantine Sea (Fig. 11). In general, the differences in surface biogeochemical variables between 1980–1999 and 2080–2099 are weaker in the western basin because of the strong regulating impact of nutrient exchange through the Strait of Gibraltar. The large-scale reduction of surface primary productivity may be a cause for the observed reduction in sedimentation (see Fig. 6).

Figure 12Present (1980–1999) and future (2080–2099) interannual average surface (0–200 m) limiting nutrient in the HIS/A2 simulation. N and P co-limitation is considered when limitation factors for N and P differ by less than 1 %. Green zones are P limited, orange zones are N limited, and purple zones are N and P co-limited.

Figure 12 presents the limiting nutrient calculated using PISCES half-saturation coefficients (Aumont and Bopp2006). The limiting nutrient is derived from the minimal value of limitation factors. In the Monod-type model PISCES, nutrient-based growth rates follow a Michaelis–Menten evolution with nutrient concentrations. In the present period, most of the productive areas are N and P co-limited in the simulation (Fig. 12). This includes regions such as the Gulf of Lion, the southern Adriatic Sea, the Aegean Sea, and the northern Levantine basin. Future accumulation of nitrogen in the basin modifies the nutrient balance, causing most eastern Mediterranean surface waters to become P limited. The total balance of phosphate is more negative in the future than in the present period, whereas we observe an inverse situation for nitrate. Therefore, phosphate becomes the major limiting nutrient in most of the regions where productivity is reduced, such as the Aegean Sea, the northern Levantine basin, and the northeastern Ionian Sea.

Figure 13Present (1980–1999, a) interannual average DCM (m) in the CTRL (a, c) and HIS/A2 (b, d) simulations. The bottom maps show the percentage of relative difference in DCM between the 2080–2099 and the 1980–1999 periods in the CTRL (a, c) and HIS/A2 (b, d) simulations.

## 3.5 Modifications of the Mediterranean deep chlorophyll maximum and Chl a budget

Figure 13 shows the average depth of the simulated deep chlorophyll maximum (DCM) for the period 1980–1999 and for the period 2080–2099.

The DCM depth changes little during the simulation, even though salinity and temperature change. The DCM deepens slightly in some regions such as the north Ionian and the south of Crete. Although the DCM depth changes little in the future, the intensity of subsurface productivity is reduced (see Fig. 11).

Figure 14Present (1980–1999) and future (2080–2099) interannual average vertical profiles of total Chl a (ng L−1) at the DYFAMED station, and averaged profiles over the western and eastern (including Aegean and Adriatic) basins.

Figure 14 shows the average vertical profiles of Chl a at the DYFAMED station (43.25 N, 7.52 E) and the average profiles for the western and eastern basins for the 1980–1999 and 2080–2099 periods. The subsurface Chl a maximum persists through to the end of the century. At the DYFAMED station, the average DCM depth remains unchanged, while the surface Chl a concentration is decreased by about 25 ng L−1, which is negligible. Thus the average Chl a profile at DYFAMED changes little throughout the simulation. However, at that station there is approximately 40 % variability in the Chl a concentration profile and depth of DCM for some months (not shown). In the western basin, the subsurface maxima at present and in the future are located at the same depth (100–120 m), but the average Chl a concentration in the DCM increases by about 15 to 20 ng L−1 during the simulation. However, where there are small changes in the average Chl a profiles in the western basin, these are often accompanied by greater local changes in the depth and intensity of the DCM (Fig. 13). In the eastern basin, subsurface Chl a concentration is reduced by about 50 ng L−1, and the subsurface Chl a maximum deepens from 100–120 m to below 150 m.

In the oligotrophic Mediterranean, the majority of the Chl a is produced within the DCM. There is an 8.9 % reduction in integrated Chl a production between the 1980–1999 and 2080–2099 due to circulation changes combined with changes in fluxes through the Strait of Gibraltar and riverine inputs. Table 4 reports total Chl a budgets in the 1980–1999, 2030–2049, and 2080–2099 periods of all the simulations in all Mediterranean sub-basins (Adloff et al.2015). It reveals that the Chl a budget is stable over the CTRL simulation but decreases in all Mediterranean sub-basins over the HIS/A2 simulation. The decrease in Chl a is larger in the eastern regions, in particular in the Adriatic and Aegean Seas (17 % and 19 % respectively). In the western basin, the decline in Chl a is smaller (5.1 %). The Chl a budget is probably maintained by the enhanced nutrient fluxes through the Strait of Gibraltar (Chl a in CTRL_RG does not significantly decrease in the western basin).

Table 4Simulated integrated Chl a (109 mol) over 20-year periods in the Mediterranean sub-basins in the different simulations. Basins are the same as defined in Fig. 2 of , with the eastern basin including the Ionian, Levantine, Adriatic, and Aegean sub-basins. Values in parenthesis indicate the percentage difference from the 1980–1999 period.

About 85 % of the future reduction in Chl a in HIS/A2 is explained by the effects of climate change (HIS/A2 minus CTRL_RG). However, the effects from increased nutrient inputs through the Strait of Gibraltar, decreased riverine phosphate inputs and increased riverine inputs of nitrate seem to have opposing effects of climate and circulation changes on Chl a production. In particular, in the western basin, reductions in riverine discharge of nutrients reduce Chl a by 3.5 % (see CTRL_R values), whereas changes in fluxes through the Strait of Gibraltar enhance Chl a (only 1 % decrease in chlorophyll concentration in CTRL_RG in the western basin).

Figure 15Evolution of yearly average nanophytoplankton and diatom concentration (10−3 mol m−3) in the surface layer of the western and eastern basin. The red line represent the HIS/A2 simulation, the black lines represent the CTRL simulation (with standard deviation), and blue and light blue lines represent the CTRL_R and CTRL_RG simulations respectively. Colored numbers in the highlighted areas represent the average concentrations in the corresponding simulations for the highlighted time periods.

## 3.6 Plankton biomass evolution

Most of the biological activity in the marine environment is found within the euphotic layer, which is confined to the upper 200 m. Figure 15 shows the evolution of nanophytoplankton and diatom concentrations (in terms of carbon content mmolC m−3) over the top 200 m in the western and eastern basins throughout the duration of all simulations. In HIS/A2, the biomass of both phytoplankton classes declines during the simulation (0.01 mmolC m−3 for nanophytoplankton and 0.03 to 0.04 mmolC m−3 for diatoms). Generally, diatoms appear more sensitive to climate change, as their biomass decreases more sharply than that of nanophytoplankton. As shown in Fig. 15c, diatom concentrations in the western basin appear sensitive to changes in nutrient input across the Strait of Gibraltar, as indicated by the large difference between CTRL_RG and CTRL_R (0.04 mmolC m−3). However, the reduction in diatom concentration found with HIS/A2 indicates that it is primarily influenced by climatic drivers.

Figure 16Evolution of yearly average microzooplankton and mesozooplankton concentrations (10−3 mol m−3) in the surface layer of the western and eastern basins. Red lines represent the HIS/A2 simulation, black lines represent the CTRL simulation (with standard deviation), and blue and light blue lines represent the CTRL_R and CTRL_RG simulations respectively. Colored numbers in the highlighted areas represent the average concentrations in the corresponding simulations for the corresponding time periods.

The same general evolution is found for zooplankton as seen for phytoplankton (Fig. 16). In HIS/A2, in all basins, there is a decrease in microzooplankton concentration during 1980–2000 (from 0.165 to 0.114 mmol m−3), after which it remains stable and consistently below the CTRL values until the end of the simulation in 2100. In the eastern basin, there is a large reduction in mesozooplankton levels. The average mesozooplankton concentration in the eastern part of the Mediterranean declines by almost 60 % in 2099 in comparison to that in 1980. However, the average mesozooplankton concentration over the 2080–2099 period is only slightly lower than the average concentration over the 1980–1999 period (0.10 and 0.11 mmol m−3 respectively), because the decline in concentration occurs within the first years of the HIS/A2 simulation. In the western basin, there is a marked decline in mesozooplankton concentrations between 1980 and 2040 (0.05 mmol m−3). After 2040, the surface concentration of mesozooplankton increases regularly to values that are similar to those at the beginning of the simulation. This evolution is similar to those of nutrient concentrations in surface waters of the western basin (Fig. 7). In the PISCES model, zooplankton, and particularly mesozooplankton, are especially sensitive to the variations of external climatic and biogeochemical conditions, being the highest trophic level that is represented. Owing to their bottom-up control, zooplankton canalize all changes at the basin scale and ultimately display the largest response. This behavior is similar to the trophic amplification observed by and .

Altogether, the analysis of plankton biomass evolution during the simulation period suggests that primary and secondary production in the eastern basin are more sensitive to climate change than in the western basin. The eastern basin is more isolated from the open Atlantic Ocean than the western basin, as it receives less nutrients from the Atlantic and from coastal inputs. The eastern basin is also deeper and less productive than the western basin . The eastern basin exhibits a decline in the phytoplankton biomass that is similar to the decline in the phosphate concentration. Biological production is mainly P limited in this basin (see also Fig. 12). Therefore, the constant low concentrations of phosphate observed throughout this century limit biological production and keep plankton biomass at low levels.

Figure 17Present (1980–1999) and future (2080–2099) relative effects of total nitrogen (a) and natural dust (b) deposition on surface (0–10 m) total primary production.

## 3.7 Effects of aerosol deposition on surface primary productivity

Figure 17 shows the relative effects of total nitrogen and natural dust deposition on surface primary production in 1980–1999 and 2080–2099. As shown in , dust deposition enhances surface primary productivity in the southern part of the basin in 1980–1999, whereas nitrogen deposition enhances primary productivity in the northern part of the basin. As our HIS/A2 simulation shows a decrease in surface PO4 concentrations, thus accentuating phosphate limitation over the Mediterranean basin by the end of the 21st century, the relative impact of phosphate deposition from dust would be enhanced in the 2080–2099 period relative to the 1980–1999 period. Conversely, nitrogen atmospheric deposition has very little effect on Mediterranean primary production at the end of the simulation period, because most of the basin is not N limited.

4 Discussion

## 4.1 Sources of uncertainties

The study represents the first transient long-term simulations of the Mediterranean Sea with a coupled physical–biogeochemical high-resolution model. It provides a first glimpse of the sensitivity of the Mediterranean Sea biogeochemistry to climate change and to the evolution of external nutrient fluxes. As for all modeling studies, our conclusions are subject to some limitations that we attempt to underline in this section.

### 4.1.1 Climate change scenario

Although the physical model adequately represents the Mediterranean thermohaline circulation (Adloff et al.2015), there are many uncertainties linked with climate change projections. Some are discussed in , in particular, the need to use different IPCC scenarios for climate change projections and MTHC changes. apply an ensemble of SRES scenarios and boundary conditions to the Mediterranean Sea and suggest that the choice of atmospheric and Atlantic conditions has a strong influence on the MTHC. This influence is mainly linked with the evolution of stratification index and vertical mixing. Overall, the increase in stratification in our A2 climate change scenario leads to different evolutions of nutrient concentrations between the surface and the intermediate and deep waters, with surface waters becoming more sensitive to external nutrient sources (Figs. 7 and 8). On the other hand, found that primary productivity slightly increased as a result of decreased stratification in the climate change scenarios RCP8.5 and RCP4.5. The A2 scenario that we used was the only one available with 3-D daily forcings, as necessary for coupling with the PISCES biogeochemical model. However, showed that other SRES scenarios such as the A1B or B1 may lead to a future decline in the vertical stratification, likely with different consequences on the Mediterranean Sea biogeochemistry. Our study is thus only a first step for transient modeling of the Mediterranean Sea biogeochemistry. It should be complimented by new simulations that explore the various sources of uncertainty (model choice, internal variability, and scenario choice) once appropriate forcings become available for multiple models, as expected from the Med-CORDEX initiative .

Freshwater runoff in the physical model may also influence the circulation and nutrient concentrations at the river mouth. evaluated the changes in total freshwater runoff in the HIS/A2 simulation. Their Table 2 shows that the total freshwater runoff to the Mediterranean is lower than the estimate (by about 30 %). They found an approximately 27 % decrease in total runoff by the end of the 21st century. This trend is consistent with the deceasing trend found by . However, the 2050 estimates of freshwater runoff from are only 13 % lower than the 1970 and 2000 estimates. The freshwater runoff decrease in the physical model from is more important than in the nutrient runoff model from . This decrease may result in higher nutrient concentrations at the river mouth. We are also aware that the future evolution of river discharges into the Mediterranean Sea is highly uncertain and depends on the choices for the scenario and the model .

### 4.1.2 Uncertainties from the PISCES model

The evaluation of the CTRL simulation showed that NEMOMED8-PISCES is stable over time, in spite of a slight drift in nitrate concentrations (see Fig. 8). Nutrient concentrations in the intermediate and deep layers were underestimated in comparison to measurements (see Appendix). Nutrient concentrations were underestimated by up to 50 %, in particular in the deep eastern basin. Moreover, nitrate fluxes from coastal discharge in CTRL are lower than in HIS/A2. The low riverine discharge and the imbalance in sources and sinks explains the loss of nitrate in the CTRL (see Figs. 8 and 9). Organic forms of nutrients are not directly available to phytoplankton in this version of PISCES and are not included in our nutrient budgets. show that organic forms of nutrients are an important part of the Mediterranean elemental budgets. Therefore, we appear to be missing part of the N and P budgets in our calculations. The simulated Chl a vertical profiles at the DYFAMED station show a reasonable representation of the subsurface productivity maximum of the Mediterranean, in spite of a mismatch in the subsurface Chl a maximum depth between model and measurements. Model values were not corrected to match data, hence, the uncertainties in the representation of present-day biogeochemistry by the PISCES model may be propagated into the future.

In the version of PISCES used in this study, variations in nitrate and phosphate are linked by the Redfield ratio . The Redfield hypothesis of a fixed nutrient ratio used for plankton growth and excretion holds true for most parts of the global ocean but may not be true for oligotrophic regions such as the Mediterranean Sea (Béthoux and Copin-Montégut1986). Moreover, changes in nutrient balance influence the nutrient limitations as shown by Fig. 12. Yet, the results simulated with the Redfieldian hypothesis are coherent with the observed variations of nutrient supply to the Mediterranean Sea and yield realistic biological productivity. Nonetheless results concerning nutrient limitation could change in a non-Redfieldian biogeochemistry model.

### 4.1.3 External nutrient sources

Climate change may impact all drivers of biogeochemical cycles in the ocean. In the case of semi-enclosed seas like the Mediterranean, the biogeochemistry is heavily influenced by external sources of nutrients (Krom et al.2010; Ludwig et al.2009) and modification of the physical ocean (Santinelli et al.2012). Nutrient fluxes from external sources (rivers, aerosols, and fluxes through the Strait of Gibraltar) may evolve separately depending on future socioeconomic choices and climate feedbacks. In this study, different scenarios were used for river inputs (Ludwig et al.2010) and for Atlantic nutrient concentrations (Dufresne et al.2013). It is important to accurately represent the incoming nutrient fluxes to the Mediterranean and their potential evolution with regards to climate change, as they have important influence on the Mediterranean Sea biogeochemistry.

Fluxes through the Strait of Gibraltar. Results from our CTRL_RG simulation show that the increase in incoming fluxes of nitrate and phosphate through the Strait of Gibraltar leads to higher surface concentrations in the western Mediterranean. The Atlantic nutrient concentrations are derived from a global version of the same model used in our simulations (NEMO and PISCES) and forced under the same A2 climate change scenario). Therefore, there is no incompatibility issue between for the forcing and model.

Riverine nutrient fluxes. Additionally, our CTRL_R simulation shows that the increase in riverine nitrate fluxes leads to the accumulation of nitrate in the surface Mediterranean, in particular in the eastern basin and in the Adriatic. For the riverine nutrient inputs, scenarios from the MEA report are based on different assumptions from the IPCC SRES scenarios used to compute freshwater runoff in the HIS/A2 simulation. Freshwater discharge from is based on the IMAGE (Integrated Model to Assess the Global Environment) model reconstruction and differs from freshwater runoff in the ARPEGE-Climate model used to force our physical model. This may lead to incoherences between water and nutrient discharges, but the nutrient discharges from are the only ones that are available. Furthermore, the SESAME model is not coupled with NEMO and PISCES. Associated discrepancies and the uncertainties linked with the use of inconsistent scenarios in our simulation should be addressed by developing a more integrated modeling framework to study the impacts of climate change on the Mediterranean Sea biogeochemistry. As there is no consensus nor validated scenario for nutrient fluxes from riverine runoff in the Mediterranean, we chose to use one scenario from . This scenario has the advantage of being derived from a coherent modeling framework. However, the nutrient discharge transient scenario does not represent the interannual variability of nutrient runoff from rivers. Moreover, according to these authors, the socioeconomic decisions made in the 21st century will influence nitrate and phosphate discharge over the Mediterranean. It is difficult to forecast these decisions, and the resulting changes in nutrient fluxes are uncertain.

Potential effects of aerosol deposition. The biogeochemistry of the Mediterranean is significantly influenced by aerosol deposition (Dulac et al.1989; Guieu et al.2014; Krom et al.2010; Richon et al.2017, 2018). The future evolution of the multiple aerosol sources surrounding the Mediterranean will likely influence the response of the Mediterranean to climate change.

Results from the HIS/A2_NALADIN simulation show that enhanced phosphate fluxes from aerosols may limit the surface decrease of phosphate concentrations and limit phosphorus limitation. However, in the HIS/A2_NALADIN simulation, the surface Mediterranean is still P limited in most of the Mediterranean, because the atmospheric nutrient fluxes are low in comparison to riverine nutrient fluxes from rivers and the nutrient flux through the Strait of Gibraltar (Richon et al.2017). Therefore, it appears unlikely that changes in aerosol deposition from natural dust would greatly influence future Mediterranean biogeochemistry. However, there are multiple sources of aerosols that are not included in atmospheric models, e.g., anthropogenic, volcanic, and volatile organic compounds (Kanakidou et al.2016; Wang et al.2014). Their combined influence could perhaps constitute an important nutrient flux to the Mediterranean, thus altering the evolution of its biogeochemistry. Moreover, aerosols affect radiative forcing over the Mediterranean and may impact the climate conditions . Thus, efforts should be made to accurately represent this nutrient source in Mediterranean models to assess the effect on Mediterranean Sea biogeochemistry with regards to climate change.

Our results show that the state of the Mediterranean biogeochemistry at the end of the 21st century is the result of the combined evolutions of both climate and external nutrient fluxes. Therefore, it is very difficult to predict the future evolution of the Mediterranean based on the evolution of one of these components only. This is why it is important, in the case of semi-enclosed basins, to produce reliable estimates of the evolution of all the components influencing the biogeochemistry.

Figure 18Schematic diagrams illustrating the Mediterranean budgets of phosphate and nitrate. For each component, the three lines represent the average fluxes (in Gmol yr−1) over the periods 1980–1999, 2030–2049, and 2080–2099, and numbers in parenthesis indicate the percentage difference from the 1980–1999 values.

## 4.2 Climate versus biogeochemical changes effects

Figure 18 summarizes the fluxes of phosphate and nitrate in and out of the Mediterranean considered in this study.

In general, the sum of nitrogen net fluxes into the Mediterranean basin (riverine, Gibraltar Strait, and sedimentary sources and sinks) increases by 39 % at the end of the century in the scenario (HIS/A2), whereas it is increased by 23 % in the control (CTRL) in comparison to the beginning of the simulation. The balance between inputs and outputs of phosphorus increases by 9 % in the scenario and by 11 % in the control. These results suggest a substantial accumulation of nitrogen in the Mediterranean basin over the century when phosphorus fluxes can be considered roughly stable. The strong decrease in sedimentation (Fig. 6) occurring in spite of enhanced nutrient flux from the Atlantic and an enhanced nitrate river flux may be linked to the decrease in vertical water fluxes (upwelling and downwelling). This would explain the accumulation of phosphate and nitrate in the deep layers of the Mediterranean Sea (Figs. 7c and f and 8c and f).

Results from our transient simulations show that nutrient concentrations may evolve differently depending on the region and the depth in response to climate change and external nutrient inputs. In the surface of the western Mediterranean, the effects of climate change and enhanced nutrient fluxes via Gibraltar both concur with the increase in nutrient concentrations (Figs. 7a and 8a). In the surface of the eastern basin, river fluxes of nitrate and stratification have opposing effects on nitrate concentrations, whereas phosphate concentrations are mainly driven by climate change effects (Figs. 7d and 8d). The difference between HIS/A2 and CTRL_RG phosphate concentrations in the intermediate and deep layers (Fig. 7b, c, e and f) indicate that variations of phosphate concentrations during the 21st century are primarily driven by climate change, while nitrate concentration is equally sensitive to changes in biogeochemical forcings (Fig. 8b, c, e and f).

Results from our different control simulations indicate the extent to which the choice of the biogeochemical forcing scenario may influence the future evolution of the Mediterranean Sea biogeochemistry. Results from Table 4 (CTRL_RG minus CTRL_R) indicate that the increase in nutrient input through the Strait of Gibraltar at the end of the century is responsible for a 2.5 % increase in Chl a concentration in the western basin by the end of the century. simulated an increase in Chl a concentration associated with climate change effects in a small region of the northwestern basin by the end of the century. Thus, the separate effects of climate change and external nutrient inputs may have synergistic effects on the evolution of the western Mediterranean Chl a.

In some parts of the eastern basin, the effects from riverine nutrient fluxes on Chl a appear more important than those from climate change (see Table 4). In the Adriatic Sea, Table 3 shows that riverine nitrate discharge is responsible for a 41 % increase in nitrate concentration over the simulation period (2080–2099 minus 1980–1999). In the CTRL_RG simulation, nitrate concentrations are similar to those in the CTRL_R simulation, indicating no influence of fluxes through the Strait of Gibraltar in the Adriatic Sea. Finally, nitrate concentrations in the HIS/A2 simulation are close to the CTRL_R values, showing that most of the nitrate evolution in the Adriatic Sea is linked with riverine discharge. also conclude that the river mouth regions are highly sensitive, because the Mediterranean Sea is influenced by external nutrient inputs. The choice of river runoff scenario will likely influence the evolution of nutrient concentrations and the biogeochemistry in many coastal regions such as the Adriatic Sea (Spillman et al.2007).

To our knowledge, this is the first attempt to study the basin-scale biogeochemical evolution using a transient business-as-usual (A2) climate change scenario. tested the effects of several land-use change scenarios on the A1B SRES climate change scenario over 10-year time slices. They found a general decrease in phytoplankton and zooplankton biomass (about 5 %), which is lower than in our severe climate change scenario. Considering only changes in climate, and studied the transient biogeochemical evolution of the Mediterranean Sea (Herrmann et al.2014) under different climate change scenarios, with the former study focusing on a small region in the northwestern Mediterranean. Both studies found that chlorophyll concentration and plankton biomass increase slightly due to changes in vertical stratification. In our simulations, average phytoplankton biomass decreases by 2 % to 30 % (see Fig. 15), and average zooplankton biomass decreases by  %8 to 12 % (see Fig. 16). However, our transient simulations revealed nonlinear trends in plankton biomass evolution as a result of the influence of external nutrient fluxes. have shown that regional seas, and in particular the Aegean and Adriatic, were sensitive to trophic amplification. Our results appear to agree, showing signs of trophic amplification (see Figs.15 and 16). Assessing the sensitivity of the Mediterranean to trophic amplification would require more simulations focused on the evolution of Mediterranean planktonic biomass under different climate change scenarios.

The modifications of Chl a production and plankton biomass are linked to changes in nutrient limitation (Fig. 12). Finding no clear definition of nutrient co-limitation, we consider that N and P are co-limiting when the difference in limitation factors is less than 1 %. This definition of nutrient co-limitation applies well to the Mediterranean case because of its very low nutrient concentrations. Our results are confirmed by some studies . However, our nutrient limitations are calculated from 20-year average nutrient concentrations, and nutrient limitation may vary greatly during the seasonal cycle . It has also been hypothesized by that the warm temperature of the deep Mediterranean enhances nutrient recycling via prokaryotic metabolism. Therefore, a part of the nutrient accumulation we observed may be linked with the increase in temperature.

5 Conclusions

This study aims at assessing the transient effects of climate and biogeochemical changes on the Mediterranean Sea biogeochemistry under the high-emission SRES-A2 scenario. The NEMOMED8-PISCES model adequately reproduces the main characteristics of the Mediterranean Sea: the west-to-east gradient in productivity, the main productive zones, and the presence of a DCM. Hence, it appears reasonable to use it to study the future evolution of the biogeochemistry of the Mediterranean basin in response to increasing atmospheric CO2 and resulting climate change. Our study is the first to offer a continuous simulation over the entire period of the future IPCC scenario (A2), between 2000 and 2099.

Its results illustrate how future changes in physical and biogeochemical conditions, including warming, increased stratification, and changes in Atlantic and river inputs, can lead to a significant accumulation of nitrate and a decrease in biological productivity in the surface, thus affecting the entire Mediterranean ecosystem.

Our results also illustrate how climate change and nutrient inputs from riverine sources and fluxes through the Strait of Gibraltar have contrasting influences on the Mediterranean Sea productivity. In particular, the biogeochemistry in the western basin displays similar trends as that for nutrient input across the Strait of Gibraltar. Therefore, it appears critical to correctly represent the future variations of external biogeochemical forcings of the Mediterranean Sea, as they may have an equally important influence on surface biogeochemical cycles as climate. The biogeochemistry of the eastern basin is more sensitive to vertical mixing and river inputs than the western basin, which is regulated by input through the Strait of Gibraltar. Increased future stratification also reduces surface productivity in the eastern basin.

Although this study does account for the changes in fluxes through the Strait of Gibraltar and riverine inputs, some potentially important sources are missing, such as direct wastewater discharge, submarine groundwater input, and atmospheric deposition. These additional nutrient sources are poorly known, with a general lack of both measurements and models as needed to build comprehensive datasets for past and future evolution of these nutrient sources. The HIS/A2_N and HIS/A2_NALADIN simulations presented in this study include continued present-day nitrogen and phosphate deposition. Although these atmospheric fluxes have been evaluated previously and were shown to correctly represent the deposition fluxes, there is no guarantee that these fluxes will remain constant over the next century. Results indicate that the future sensitivity of the Mediterranean to atmospheric deposition depends on the surface nutrient limitation, which may in part be influenced by aerosol deposition. However, there is, to our knowledge, no available transient scenario for the 21st century evolution of atmospheric deposition and no ensemble simulations to assess the future evolution of the Mediterranean Sea under different climate change scenarios. A new generation of fully coupled regional models have been developed and used to study aerosols climatic impacts . These models include a representation of the ocean, atmosphere, aerosols, and rivers and could eventually be used to make consistent future climate projections at the regional scale of the Mediterranean.

Data availability
Data availability.

Simulation results are available upon request to the main author.

Appendix A: Evaluation of the NEMOMED8-PISCES model

The comparison of modeled surface Chl a concentration with satellite estimates has revealed that the model correctly simulates the main characteristics observed in the Mediterranean Sea (Figs. 1 and 2). Comparison with in situ observation provides more refined estimates.

Figure A1 presents the average Chl a profiles at the DYFAMED station (43.25 N, 7.52 E) compared with measured concentrations for the month of February (low stratification, high productivity) and May (end of spring bloom, beginning of stratification and DCM appearance). There are few data points below 200 m. The model produces the characteristic of the deep Chl a maximum generated in May, even if it is too deep. The colors show that the model represents some interannual variability in Chl a production, in spite of a consistent bias.

Figure A1Average Chl a profiles in February (a) and May (b) for the years 1991 to 2005 at the DYFAMED station in the Ligurian Sea (43.4277 N, 7.2522 E). Dots represent data points . Lines represent the HIS/A2 simulation. Colors represent individual years.

The overestimated DCM depth may be due to the overestimation of nitracline and phosphaline as shown by Fig. A2.

The vertical distribution of nitrate and phosphate concentrations along a west-to-east transect is shown in Fig. A3. The model produces the salient west-to-east gradient of nutrient concentrations. Concentrations in the surface layer appear realistic. The nutricline is located between 100 and 150 m in the western basin and deepens to around 180 to 200 m in the eastern basin. Although the model represents the spatial variability of the nutricline, it is too smooth, leading to the underestimation of deepwater concentrations (by about 30 % to 50 %).

Figure A2Average phosphate (a) and nitrate (b) profiles in May for the years 1991 to 2005 at the DYFAMED station in the Ligurian Sea (43.4277 N, 7.2522 E). Dots represent data points . Lines represent the HIS/A2 simulation. Colors represent individual years.

Figure A3Average concentrations of nitrate (a) and phosphate (b) for the 20 first years of the control simulation (CTRL). The dots represent data along a transect from Marseille to Finokalia from the BOUM campaign (Moutin et al.2012). The framed areas represent a vertical zoom of the top 500 m along the whole transect.

Author contributions
Author contributions.

Authors contribution: CR, JCD, LB, JCO, and FD designed the experiments CR ran the simulations, wrote the manuscript and analysed the results BLV, produced the spin up simulations SS Produced the physical simulation. All authors participated in results interpretation and manuscript correction JCO corrected the English.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Acknowledgements
Acknowledgements.

The authors would like to thank Florence Sevault for the physical simulations of NEMOMED8, Pierre Nabat for the dust deposition with ALADIN-Climat, Yves Balkanski and Rong Wang for the N deposition with the LMDz-INCA model, and Wolfgang Ludwig for the river inputs. This work was funded by CEA (Camille Richon PhD grant) and is part of the MISTRALS project. Simulations were made using HPC resources from the French GENCI program (grant x2015010040).

Edited by: Jean-Pierre Gattuso
Reviewed by: three anonymous referees

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