Freshwater influx to the Eastern Mediterranean Sea from the melting of the Fennoscandian ice sheet during the last deglaciation

Between the Last Glacial Maximum and the mid-Holocene, the Mediterranean Sea experienced major hydrological changes. The deposition of the last sapropel, S1, during the Early Holocene is a consequence of these changes. In order to cause anoxia in the Eastern Mediterranean Sea (EMS) bottom water, a long preconditioning period of a few thousand years would need to occur throughout the deglaciation prior to S1. It is generally believed that this freshwater was of North Atlantic origin, later supplemented by the African Humid period (AHP). Here, we investigate another potentially important source of freshwater to the EMS: the Fennoscandian ice sheet (FIS) meltwater, running into the Caspian and Black Seas. A few scenarios of continental hydrologic perturbation have been developed to drive a high-resolution Mediterranean Sea general circulation model. We demonstrate that, during the last deglaciation, FIS meltwater flowing into the Black Sea reduced surface salinity and ventilation over the main convection areas in the EMS. By including continental hydrological changes, a more consistent framework is produced to characterize the hydrology of the Mediterranean Sea during the last deglaciation and the Early Holocene.

. Map of LGM ice caps including the Fennoscandia Ice Sheet 67 and its southward drainage basin with major rivers indicated, including the Volga, Don, and Dnieper 68,69 . The red contour shows the surface area (1,119,166 km 2 ) from which meltwater potentially flows into the Black Sea and Caspian Sea. The anomalous sea surface salinity from the "17mSvFIS" experiment (averaged over the last 10 years) is overlaid for the Mediterranean. Crosses indicate the location of marine cores evoked/used in this study: SL152 (40°05.19′N, 24° 36.65′E; water depth: 978 m) 15,21 , SL148 (39°45.23′N, 24°05.78′E; water depth: 1094 m) [18][19][20] , LC21 (35°39.7′N, 26°35.0′E; water depth: 1520 m) 3 , SL123 (35°45.3′N, 27°33.3′E; water depth: 728 m) 20 , MD84-641 (33°02′N, 33°38′E; water depth: 1375 m) 58 , MS27PT (31°47′N, 29°27′E; water depth: 1389 m) 40,41 , MD90-917 (41°17′N, 17°36′E; water depth: 1010 m) 55 and MD07-2797 (36°57′N, 11°40′E; water depth: 771 m) 56,57 . The map has been generated using ArcGIS. Bathymetric data sets come from the GEBCO 2014 bathymetric grid (both ocean and land terrain, https:// www. gebco. net). www.nature.com/scientificreports/ Sea, assuming a Black Sea level (BSL) close to the Bosphorus sill depth 9 . It is also proposed that freshwater inflow to the Marmara Sea could occur from 50 ka and persist continuously until 14.7 ka 10 . Conversely, oceanic proxy data studies over the Aegean Sea do not seem to converge regarding substantial freshwater input from the Black Sea during the last deglaciation. The LC21 core, located in the south of the Aegean Sea with a continuous δ 18 O record from 150 ka BP to present, shows a drop of ~ − 2‰ in δ 18 O during HS1 (between 16 and 15 ka). However, the authors of the study do not firmly attribute this decrease to meltwater inputs 3 . It is also interesting to mention a rich compilation of cores in the Aegean Sea that suggest a reduction in local deep-water formation and the prevalence of eutrophic conditions at the SL148 core (in the north) during the BA. This condition was attributed to increased riverine nutrient flux 18 , probably due to incoming deglaciation meltwater from the northern borderland mountains (Rhodope glacier) 19,20 or increased precipitation in the northern borderland for the SL152 core (North Aegean) 21 . In the SL123 core (South Aegean), a relatively small reduction in deep water oxygenation is recorded during the BA 20 . However, a recent reconstruction of sea surface salinity (SSS) in the SL152 core showed a decrease of ~ − 1.5 PSU between 11 and 10 ka associated with the freshwater outburst from Lake Agassiz 15 .
Finally, the recent study by Aksu and Hiscott 11 reviewed the available data over the last 20 years and proposed a multi proxy analysis of the BSL and Marmara Sea level during the last deglaciation. They find a Black Sea outflow to the Aegean Sea during 17.2-15.7 cal ka over the Bosphorus and the Dardanelles sills due to the FIS melting. During the BA, based on the Dardanelles sill depth and Marmara sea-level reconstructions, the first incursion of Aegean/Mediterranean water into the Marmara Sea would be dated at 14.7 ka 9 (with a sill depth of -80 m 22 ) or at 13.8 ka (− 75 m) 11 . Over this period and until the end of the YD at least, the Aegean Sea flowed into the Marmara Sea. After 12.5 ka, outburst floods from lakes in the Altay and Sayan Mountains of Central Asia may have contributed to the BSL rise, leading to outflowing into the Aegean Sea from 11.1 to 10.2 ka 11 .
In summary, several studies based on paleo data indicate that the Caspian and Black Seas were filled with FIS meltwater either through outburst/flooding (likely from 17 to 10 ka for the Caspian Sea and between 17.5 and 14.8 ka for the Black Sea) or through continuous melting until the YD. Moreover, the Black Sea collected the majority of freshwater from the Caspian Sea 7,13,23,24 .
A review of previous studies on the Marmara and Black Seas in the period 21-10 ka suggests that FIS meltwater would lead to an outflow from the Black Sea to the Aegean Sea, at least from the LGM to 14.7 ~ 13.4 ka firstly, and then from 12 to 11 to 10 ka. During most of the BA and YD, an outflow to the Aegean Sea is unlikely due to higher evaporation leading to increased salinity of the Black Sea (potentially associated with a lower BSL).
Aegean Sea studies suggest an inflow during the BA, but linked to nearby regional meltwater inputs. This mismatch between studies focusing on the north of the Dardanelles Strait on the one hand, and the south on the other hand, shows that there is still a lack of understanding of the chronology and quantification of potential freshwater outflow from the Black Sea during the last deglaciation.
Our goal is to revisit the hypothesis of freshwater brought by glacial melting of FIS to the EMS (Fig. 1). Using high-resolution regional oceanic modeling, we assess the impact of this meltwater discharge into the EMS and discuss to what extent proxy data can attest to this Black Sea freshwater outflowing.

Results
Freshwater flux reconstruction from Fennoscandia to the Bosphorus Strait. To investigate the effect of FIS melting on the EMS via Black Sea freshening, we use a three-step approach. First, we quantify the meltwater flux from the FIS into the Caspian and Black Seas catchments using ice sheet reconstructions [25][26][27] . Second, by using transient simulations of the last deglaciation, we estimate the water budget over the Black Sea for this period. Deducting this budget from the FIS meltwater, we compute the BSL evolution and the outflow over the Bosphorus sill. Third, we use numerical modeling to examine the effect of the meltwater on the SSS, stratification and ventilation of the EMS. The high spatial resolution of the Mediterranean Oceanic Regional Circulation Model (ORCM), NEMOMED8, does not allow us to perform transient simulations from the LGM to Early Holocene. To overcome this issue, we extract the most significant phases of the Black Sea outflowing based on proxy studies. Then, we imposed the fluxes as boundary conditions on the ORCM 28 and ran different experiments (of 100 years each) (see the "Materials and methods" section for a detailed description of ice sheet reconstruction and experimental design). Finally, we put the Black Sea outflow into perspective regarding ORCM output and the proxy data which show freshwater perturbation affecting the EMS.
The three ice sheet reconstructions we used, ICE-6G 26 , GLAC-1D 27 and Patton et al. 25 , rely on different methods. ICE-6G uses Global Positioning System measurements and space geodesic constraints. GLAC-1D reconstruction is based on ice-sheet modeling using climate simulations. Patton et al. 's reconstruction uses a thermomechanical model with regional constraints.
The reconstructed volume of ice in the Black and Caspian Seas catchments and the associated meltwater flux show several phases from 21 to 10 ka (Fig. 2a). Between 20.5 and 15 ka, the ice mass loss of 23% to 26% of its 20.5 ka total is equivalent for all ice-sheet reconstructions. The associated meltwater flux increases between LGM and 16.5 ka. The mean flux over this period is 1.7, 2.2 and 2.6 mSv for ICE-6G, GLAC-1D, and Patton, respectively. At the BA onset, it abruptly increases following the ice mass loss. The maximum meltwater flux at that period is 17, 29 and 37 mSv for ICE-6G, GLAC-1D, and Patton, respectively. The flux then decreases until the end of the YD with a final increase until the FIS vanishes completely. The meltwater flux obtained here, especially for the BA, can be compared to those established in previous studies. The value of 50,000 m 3 s −1 transferred from the Caspian Sea to the Black Sea (50 mSv) is based on lake levels and stratigraphy during the early and middle stages of deglaciation (17 to 14 ka) 13 and is higher than the first pulse indicated by our reconstruction. Another study based on estimated river paleodischarge and ice sheet flow estimated a Caspian flooding to the   www.nature.com/scientificreports/ Black Sea of ~ 23,000 km 3 over 20-30 years (~ 29 mSv) around 15.5 ka 12 , which fits with the magnitude of our reconstructed meltwater fluxes. The Black Sea water budget throughout the deglaciation is sensitive to P-E (positive P-E for TraCE-21 ka and negative P-E for MIROC4m, Supplementary Information). We evaluated in the Supplementary Information the likeliness of each combination. The most likely combination involves the average of P-E between TraCE-21 ka and MIROC4m, as shown in Fig. 2b. The BSL and associated volume changes show different behaviors depending on the ice sheet reconstructions. All the reconstructions have a rapid transgression phase starting from the LGM BSL (~ − 105 m 29,30 ). Once the Bosphorus sill depth is reached for ICE-6G, the reconstruction, weighted by Black Sea P-E, shows overflowing from 19 to 10 ka. For GLAC-1D and Patton, the estimated BSL is punctuated by several regression and transgression phases. From 17 ka onwards, GLAC-1D experiences a first regression up to − 90 m at 16.5 ka, a second regression up to − 70 m at 15 ka and a last one at 12.5 ka up to 70 m. Patton shows a first regression phase up to − 120 m at 15 ka and a second up to − 90 m at ~ 12 ka.
To evaluate the likeliness of these scenarios in terms of sea-level amplitude, we represent the BSL as reconstructed by Lericolais et al. 29 , Genov 30 and Aksu and Hiscott 11 . According to Lericolais et al., after a transgression phase (starting from − 105 m during the LGM), the BSL reaches the Bosphorus sill (close to − 37 m) from 16.5 to 13 ka, followed by a regression phase from 13 to 10 ka. According to Genov, after a long transgression phase, the BSL would reach the Bosphorus sill depth at 11.7 ka until 10.5 ka. According to Aksu and Hiscott 11 , the LGM BSL is higher (− 90 m). From 17.2 to 15.7 ka, Black Sea outflows over the uppermost "Pleistocene delta Δ2" (− 55 m) 11 of the Bosphorus sill, and after 15.7 ka a regression phase occurs up to − 110 m around 14.7 ka. Then, the BSL increases until 11 ka when it reaches the shallowest sill depth. Our BSL based on ice sheet reconstructions shows a different timing than that of the previous reconstructions. However, the amplitude is comparable, especially for the regression phases.
Finally, we estimate the freshwater flux overflowing the Bosphorus sill ( In terms of timing, at the early deglaciation stage, our reconstruction indicates an overflowing between 19.5 and 16.5 ka while most of the previous proxy-based studies suggest the 16.6-14.7 ka range. The BA meltwater pulse is inexistent in previous studies, mainly because of higher evaporation in the Black Sea and its catchment during this period. However, regarding the previous flux quantifications 13,32 , it is likely that our calculation of the BA-peak equates with the 16.6-14.7 ka outflowing phase. The post YD-peak, based on our calculations and previous studies would be the most likely outflowing phase. We therefore propose an ensemble of forcing conditions to mimic different continental freshwater perturbations of the EMS. They constitute compromises between our climate forcings for the Early Holocene, our computation limitations, and our estimates of Black Sea outflow. We target the overflows during the BA with the "17mSvFIS" experiment and after the YD ("4mSvFIS", Fig. 2c). In addition, we suggest the Nile River reached its highest activity after the YD due to last African Humid period 33,34 and propose the "4mSvFIS + 9kNile" experiment. After the FIS melted completely, we also simulate "9kNile", where the Nile River is considered to be the major freshwater contributor to the EMS. Impact on the EMS assessed with high-resolution modeling. The Early Holocene standard experiment ("9kstd") simulates high SSS (38 to 39 PSU, increasing eastward) in the EMS due to high evaporation ( The Black Sea outflow experiments ("4mSvFIS" and "17mSvFIS") significantly reduce the SSS in the Northern Aegean Sea (− 2.1 and − 7 PSU for "4mSvFIS" and "17mSvFIS", respectively, with a north-south gradient, Fig. 3 and Table 1). The freshening also impacts the Eastern Levantine (− 0.3 and − 0.5 PSU for "4mSvFIS" and "17mSvFIS", respectively) and the Adriatic (− 0.2 PSU for "4mSvFIS" and "17mSvFIS"). "9kNile" shows a negative SSS anomaly that spreads westward following the coastline quite uniformly (− 1.7 PSU) over the most eastern part of the Levantine, and then over the Aegean (− 0.6 PSU in the Northern part), Northern Ionian, and Adriatic Sea (− 0.3 PSU). The combined experiment, "4mSvFIS + 9kNile", depicting the additive effect of "4mSvFIS" and "9kNile", produces a decrease in SSS at the Nile mouth (East Levantine: − 1.7 PSU) and over the Aegean Sea (northern part: − 2.6 PSU) and restricted to − 0.5 PSU elsewhere (with a similar pattern as "9kNile").
Black Sea outflow experiments indicate a large decrease in oceanic convection potential and deep-water formation, characterized by increasing IS. In "4mSvFIS", the Aegean, Eastern Levantine, South Adriatic, and North Ionian show a similar increase between + 1 and + 1.5 m 2 s −2 , whereas the western Levantine and Northern www.nature.com/scientificreports/ Ionian show decreasing IS (as much as − 1.5 m 2 s −2 , due to the slowdown of the zonal overturning circulation transporting low-salinity water masses from the western basin). In "17 mSv", almost the entire EMS shows an increasing IS (up to + 2 m 2 s −2 more pronounced over the Eastern Levantine, South Aegean, and Northern Ionian). Consequently, all intermediate and deep-water formation spots are affected in almost equal measure in "4mSvFIS" and "17mSvFIS". The MLD is lifted up to − 100/− 200 m in the Aegean Sea, − 100 m in the Levantine (over a larger area in "17mSvFIS") and − 500 m in the Southern Adriatic/Northern Ionian (also a more extended area in "17mSvFIS"). In "4mSvFIS + 9kNile", the spatial structure and intensity of the IS anomaly is similar to "17mSvFIS", although less extensive with an average value of ~ 1 m 2 s −2 . The MLD reduction pattern and values in this simulation are similar to those of "4mSvFIS" and "17mSvFIS" but are more widespread over the easternmost coast. Placing these results in the context of the last deglaciation, the "9kstd" simulation represents the reference state. The anomalies of this simulation are compared to "17mSvFIS" where the flux linked to the BA meltwater pulse has a decreased ventilation mainly in the Adriatic/Ionian basins compared to the "4mSvFIS". The remaining flux (~ 4 mSv) is superimposed on the Nile effect "4mSvFIS + 9kNile") between the YD and the end of the deglaciation. In "4mSvFIS", the SSS decrease is comparable to the decrease observed in SL152 15 between 11 and 10 ka (simulation: − 2.1 PSU, observations: − 1.5 PSU, Table 1). After the FIS completely vanishes, the Nile in "9kNile" becomes one of the major sources of freshwater continuing to perturb the convection and ventilation of the EMS.

Discussion
Black Sea outflow may affect the EMS at the BA onset and after the YD, although proxy-based data are not unanimous in confirming this north freshwater influence. How reliable are these experiments documenting extensive meltwater influx to the Aegean Sea and the EMS? The main argument against meltwater affecting the Aegean Sea (and the Marmara Sea) is the relatively weak δ 18 O depletion recorded in planktonic foraminifera which would belie meltwater intrusion.
To discuss this issue, we compare our Black Sea outflow estimations with proxy data from the EMS. First, we calculate the sea-water δ 18 O (δ 18 O w ), an estimate of the freshwater effect on three marine cores over the Central Mediterranean (MD042797, Sicily Strait), and the EMS (MD90-917, Adriatic Sea and MD84-641, Eastern Levantine) (Fig. 4b). Second, we document the chronology of Nile activity, the major freshwater contributor to the EMS, based on the deltaic core, MS27PT, from the middle stage of deglaciation to the Early Holocene. The reliability of the sediment core MS27PT in monitoring past Nile hydrology and reconstructing the African Humid Period in the Nile basin has been demonstrated in several sedimentology and geochemistry studies 34,40,41 . The ratio of Ti/Ca reflects the relative proportions of Nile terrestrial versus marine inputs at high temporal resolution. The sedimentation rate coupled with neodymium isotopes (expressed as εNd) are tracers of fluvial Nile activity (cf "Materials and methods").
From 20 to 10 ka, δ 18 O w records from the Sicily Strait and the South Adriatic Sea display a similar pattern indicating surface waters salinity fluctuations. An initial δ 18 O w decrease between 20 and 16 ka marks the late glacial period followed by a deglaciation rise in δ 18 O w , more pronounced in the Sicily Strait, until the start of the BA at 14 ka. Between 14 and 12 ka, δ 18 O w values decrease before rising until the onset of the Holocene at 11.7 ka. A final drop in δ 18 O w characterizes the Early Holocene in both basins until 10 ka, suggesting the arrival of less saline surface waters. In contrast, in the Eastern Levantine, the δ 18 O w record displays different behavior marked by a progressive decreasing trend (by 2.5 ‰) that lasted from 17 ka until 10 ka. Between 14.8 and 5.5 ka, during the AHP, the northward migration of the rainfall belt in Africa enhanced precipitation in North Africa 34,[42][43][44] . The massive reactivation of fluvial systems led to intensified precipitation in the Nile catchment and a massive inflow of freshwater to the EMS. In a recent study 41 , the record of suspended matter discharge from the Nile floods, indirectly linked to the freshwater input of the Nile, has been revisited using the Nd isotopes measured on the clay fraction to improve the reliability of the Nile fluvial activity records (cf "Materials and methods").
The downcore evolution of clay-εNd is in phase with the ratio of Ti/Ca as well as with sedimentation rates (Fig. 4). This reflects low Nile fluvial activity during the LGM and the HS1. From 14.8 ka onwards, the three proxies agree and indicate a progressive increase in Nile fluvial activity, interrupted by the YD. This onset of Nile activity at 14.8 ka is also concomitant with an increase in organic component indicating higher terrigenous input from the Nile basin 34 .
Combining these proxies, we can conclude that Nile River intensification resulting from the AHP enhancement started between 15.7 and 14.5 ka and reached its highest activity between 12 ~ 10 and 6 ka. The δ 18 O w decrease observed throughout deglaciation in the Eastern Levantine appears to face with our calculations of Black Table 1. Values of SSS (in PSU) anomaly for each ORCM experiments (vs "9kstd"), and 11 vs 10 ka SSS anomaly at SL152 15 .  www.nature.com/scientificreports/ Sea freshwater outflow: δ 18 O w decrease starts from 17 ka at the peak of the first phase which occurred between 19 and 16.5 ka. The decrease then became more pronounced from 14.5 ka with the BA-peak. In contrast, in all freshwater scenarios, our results indicate a salinity increase in the Western Ionian and the Strait of Sicily (Fig. 3 and Table 1). Moreover, δ 18 O w fluctuates more in the Adriatic and Sicily cores than in the Eastern Levantine core. The salinity increase in the ORCM in the Sicily is due to the reorganization of surface currents following massive freshwater inputs 45 . Thus, another pattern can be expected, consistent with the increase of δ 18 O w . The relative large δ 18 O w increase in the Sicily Strait between ~ 16 to 14 ka could coincide with BA-peak meltwater. In the Adriatic, although the ORCM indicates homogenous salinity decrease, the IS differs locally (increase to decrease stratification compared to "9kstd" Fig. 3), especially at the location of the MD84-641core. Here, δ 18 O w increase between 15.5 and 14 ka might coincide with the BA and the end of the YD when δ 18 O w abruptly increased conjointly with the Black Sea outflow. However, a local freshwater explanation (the melting of the Alps, for instance) is more likely.
In the North Aegean Sea, the reconstructed SSS in the SL152 core shows a decrease between 11 and 10 ka similar to the salinity anomaly in the "4mSvFIS" experiment and is assumed to reflect the Black Sea outflowing during this period (SL152: − 1.5 PSU, "4mSvFIS": − 2.1 PSU).
On the other hand, some studies propose that the freshening of the EMS occurring during the HS1 is due to the increasing exchange rate at the Strait of Gibraltar since the LGM 4,46 . Moreover, the rapid sea-level rise, especially during meltwater pulses, invigorated the water mass exchange at the Strait of Gibraltar, thus enhancing the freshening of the EMS 46 . The global sea-level rise is also consistent with the δ 18 O w decrease. Our study does not refute this hypothesis but complements this approach with additional evidence on regional freshwater input. www.nature.com/scientificreports/ Finally, we focus on ventilation which is sensitive to freshwater perturbation through water stratification changes. δ 13 C records in benthic foraminifera can give some insights in this regard, being a proxy of ventilation and of biological productivity. Results of benthic foraminiferal δ 13 C from various sites in the EMS reveal a decreasing trend in ventilation from the end of H1 until 9 ~ 8 ka, with a rapid drop during the BA and after the YD 4,18,20,47 . In our simulations, the impact on the MLD, and, thus, on the intermediate and deep ventilation, is quite similar, i.e., the enhanced freshwater input from the Black Sea has the same "dynamic" impact as the enhanced Nile input. The δ 13 C drop during the BA would be in line with our reconstructed Black Sea outflow. Nevertheless, the post-YD δ 13 C drop is more difficult to link to the Black Sea outflow than to the intensified Nile fluvial activity that occurred at the same period 41 . Moreover, our experimental configuration does not permit us to indicate if the decrease in ventilation following Black Sea outflow could have persisted for thousands of years, thus allowing water stagnation and low benthic foraminiferal δ 13 C.

Conclusions
We identify in this study a plausible role of FIS melting in the freshening of the EMS through the Black Sea. The FIS evolution shows nonlinearity and the meltwater flux is punctuated by at least three phases during the deglaciation.
We quantify the potential effect of FIS meltwater on the EMS. Our work reveals a high sensitivity in the EMS circulation and shows that Black Sea freshwater input played a significant role in reducing the SSS and ventilation of the EMS. This effect is important when combined with enhanced freshwater input into the EMS due to a strengthened African Monsoon, leading to an additional decrease in salinity and convection in the EMS.
Our results are consistent with proxy data recorded in the Black Sea and the Marmara Sea for the early and late deglaciation but not during the BA period. Moreover, a certain divergence remains with marine proxies in the Aegean Sea and more generally in the EMS: the enhanced freshwater during the deglaciation may not be attributed to meltwater from the Black Sea but rather to the global sea-level rise. Nevertheless, our work complements the existing hypothesis which relies on long-term dynamics of the Atlantic Ocean and on variations in the water properties at the Strait of Gibraltar.
The Black Sea hydrology throughout the last deglaciation deserves more careful analysis of FIS melting, the changes in precipitation-driven river discharges and the complex geomorphology of the Bosphorus and Dardanelles straits. A joint inventory of these contributions considering both a modeling approach and proxy evidence is crucial to accurately quantify the Black Sea outflow to the Marmara and the Aegean Sea. Usually neglected, they may additionally contribute to the S1 preconditioning in the EMS, as is suggested for the Aegean Sea 11 .

Materials and methods
Estimation of the meltwater influx to the Black Sea and Caspian Sea catchments. Three sources are used to estimate the meltwater flux. The first is the ICE-6G reconstruction 26 recording the global ice sheet evolution from 24 to 8 ka with a 500-year time step between 21 and 10 ka. ICE-6G uses Global Positioning System observations augmented by additional space geodetic constraints such as sea-level from complementary systems. The second source is the GLAC-1D reconstruction 27 which is based on a set of glaciological models derived from plausible climate forcing of PMIP1 and PMIP2 LGM simulations. GLAC-1D data are provided with a frequency of 100 years. For the sake of simplicity, we extract the ice volume with a time step of 500 years from 21 to 10 ka. The time step is refined to 200 years between 16 and 13 ka, with the first melting maximum expected during the BA. For both ICE-6G and GLAG-1D, we adjust the thickness of the FIS before computing the ice volume taking the isostasy into account. We then estimate the potential flux of meltwater directed to the Caspian and Black Seas through the Volga, Don, and Dnieper rivers. The third source is the reconstruction by Patton et al. 25 , recording the FIS evolution with a 50-year time step based on a 3-dimensional thermomechanical ice sheet model. In Patton et al. 's model, the temperature and precipitation adjust to the evolving ice sheet surface through the applied lapse rates derived from multiple regression analyses of meteorological observations. Moreover, the regional reference climates and associated forcing are tuned independently for each of the three major ice accumulation centers (of the Eurasian ice sheet complex) to account for the large variation in climate regimes across the Eurasian domain. Patton  www.nature.com/scientificreports/ overestimation, we consider that the Black Sea outflows when the sea level reaches the shallow sill in the Southern Strait of Bosphorus (− 37 m today). To estimate the volume needed for outflow to occur from the LGM BSL, we take account of the modern Black Sea area (436,400 km 2 ). As estimating BSL is highly sensitive to P-E, we consider every combination, including a bias correction of P-E relative to modern observations. To evaluate the plausibility of each scenario, we compare them with BSL reconstructions 11,29,30 . As two reconstructions 29,30 are in 14 C age, we use the Black Sea reservoir age estimated by Soulet et al. 5 to estimate the calibrated age (shown in the Supplementary Information). Finally, we choose the P-E combination that reflects a sea-level amplitude similar to the reconstruction and deduce the associated outflow. The selected scenario takes the average of MIROC4m P-E (bias corrected, P-E negative) and TraCE-21 ka (unbiased, P-E positive).
Description of the oceanic model. The Ocean Regional Climate Model, NEMOMED8 50,51 , is the Mediterranean version of the NEMO ocean modeling platform 52 . The horizontal domain includes the whole Mediterranean Sea and the near Atlantic Ocean serves as a buffer zone. The horizontal resolution is 1/8° in longitude and 1/8°cosφ in latitude, approximately 9 km to 12 km from north to south. Vertically, the model has 43 layers of inhomogeneous thickness. Represented in the model are 33 river mouths. The Black Sea is considered to be a river flowing into the Aegean Sea. All simulations are analyzed at their equilibrium state over the last 10 years of simulation.
Atmospheric forcing. The atmospheric forcing driving NEMOMED8 was derived from the Mediterranean regional simulation of the Early Holocene period (9.5 ka), corresponding to the last insolation maximum, performed with a sequential global-regional modeling procedure, LMDZ-NEMO-med-v1 28 . This architecture is based on the IPSL-CM5 global simulation (Coupled Model Intercomparison Project protocol) 53 . The 30-year atmospheric forcing is the same for each simulation and is used in a loop to force, with sea-surface temperature (SST), wind stress, P minus E, solar flux, and total heat flux, the 100-year Mediterranean oceanic circulation experiments.
Freshwater forcing. The different simulations only differ in the fluvial input applied. "9kStd" is a virtual configuration with preindustrial river runoff 54 . "9kNile" uses the Early Holocene Nile enhancement provided by LMDZ-NEMO-med-v1 28 . This reconstruction uses the continental hydrological budget over the Nile catchment to provide a climatological signal. With this setting, the Early Holocene Nile has a mean runoff of approximately 15 mSv (3 mSv for the pre-damming value). For the Black Sea outflow experiments ("4mSvFIS", "17mSvFIS"), we use fluxes as presented in the results. Freshwater perturbations have been applied at the Bosphorus Strait uniformly over the year. Variations in δ 18 O w reflect both the global mean oceanic isotopic composition related to continental ice volume changes and local changes due to freshwater inflow variations and evaporation balance. Local δ 18 O w changes were obtained by subtracting the effect of continental ice melting from global sea-water δ 18 O. The latter is assumed to be equal to the deglaciation sea level curve 61,62 multiplied by a constant coefficient of ~ 1.05‰ as per Duplessy et al. 63 . We did not convert the δ 18 O w values into salinity units because of uncertainty resulting from possible temporal changes in the slope of the δ 18 O w /salinity relationship at the studied core site 64 . The accuracy of the δ 18 O w estimates depends primarily on the SST estimates, given that there is a 0.07‰ error due to mass spectrometer measurements and the mean standard deviation on SSTs (~ 1 °C error for SST estimates would result in a 0.2 ‰ error in the calculated δ 18 O w value). εNd, sedimentation rate and Ti/Ca evolution in MS27PT. The MS27PT sediment core (31°47′N, 29°27′E; water depth: 1389 m) located in the Nile deep-sea fan is directly influenced by Nile freshwater input and provides a continuous record of fluvial sediment discharge from the Nile River basin for the last 110 ka 40,41 . This is well illustrated by high-resolution XRF core scanner log (Ti/Ca) ratios which reflect varying proportions of terrestrial to marine inputs following the insolation. The Nile watershed is essentially composed of two main catchments, both of silicate lithology: the Ethiopian highlands, or traps, mainly composed of basaltic volcanic rocks and drained by the Blue Nile and the Atbara rivers and the Equatorial craton, mainly composed of gneiss and granulite rock and drained by the White Nile. Sediment Nd isotopic compositions (expressed using the epsilon notation εNd) are little affected by weathering processes and hence faithfully reflect geographical provenance and crustal age of the source rocks 65 . Thus, the Nile basin is well suited to isotopic tracer analysis because of the contrasting εNd signatures characterized by the Cenozoic Ethiopia traps (εNd ~ 0) and the Precambrian Central Africa Craton (εNd ~ − 30). The sediment loads of each tributary have a distinct Nd isotopic composition reflecting the geology of the catchments. Thus, temporal changes in both Nd signature and sedimentation rate allow changes in the terrigenous contribution relative to spatial precipitation changes 34  www.nature.com/scientificreports/ the use of Nd isotopes focuses on the clay size fraction of the sediment (< 2 µm) in order to minimize potential complexities related to granulometric processes and mineral sorting occurring during sediment transport and deposition, as described in Bastian et al. 66 . Thus, the variation in the clay-εNd signal coupled with sedimentation rate can be interpreted as Nile fluvial activity change. At the scale of the Holocene and the last deglaciation, Bastian et al. 41 found that the highest εNd values recorded during the AHP, from ~ 14 to ~ 8 ka BP, indicate high Nile fluvial activity with larger proportions of particles derived from the Ethiopian Traps. Indeed, the radiogenic clay-εNd (~ -2) are closer to values observed in the Ethiopian Traps (εNd 0 to 7). In contrast, during LGM, sediments are characterized by lower εNd values (-8) and low sedimentation rate, indicating reduced Nile fluvial activity.

Data availability
The ice sheet data set, the ORCM output and the marine proxy data used in this study are made available in a Zenodo repository (https:// doi. org/ 10. 5281/ zenodo. 64965 96). Additional data related to this paper may be requested from the authors.