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Background page 1/21 major Baltic inflow = voluminous inflow of highly saline water into the Baltic Sea importance hydrographic structure and salinity balance deep water oxygenation (ecosystems!) characteristics sporadic increase of bottom salinity significant rise of Baltic water level typical occurrence between Sep Mar salinity 1993 2003 2014 Figure: simulated Bornholm Basin salinity for the period 1979-2015 and map of Baltic Sea bathymetry

Mechanism page 2/21 current mechanistic understanding is rather descriptive: sequence of easterly winds lowers the Baltic Sea water level westerly gales push large amount of highly saline water over entrance sills e.g. Mohrholz et al. 2015, Matthäus et al. 2008, Figures: Landsort sea level and Arkona Basin salinity associated with Dec/2014 inflow

Research Questions page 3/21 problem : sequences of easterly and westerly circulation do not only force highly saline inflows but large barotropic inflows in general (e.g. Schinke 1996, Lehmann and Post 2015) Large Barotropic Inflows Major Baltic Inflows Figure: Barotropic inflows identified from Landsort sea level variations and major inflows with Q96>15 after Matthäus et al. 2008 and Mohrholz et al. 2015 Questions: What atmospheric and oceanic factors cause the culmination of a barotropic inflow into a major Baltic inflow? Is the current mechanistic understanding complete? PICO spot 12

Navigation Introduction page 4/21 Results 3 pages major Baltic inflows motivation and research question Data and Methods 3 pages time series from an OGCM correlation and regression analysis on key ingredients to major Baltic inflows sensitivity experiment with major inflow of Dec/2014 as proof of concept salinity dynamics along Great Belt route to understand factors for the prerequisite 10 pages key ingredients to major Baltic inflows sensitivity experiment with Dec/2014 inflow salinity dynamics along Great Belt route Summary 2 pages improved mechanistic understanding greater context of this work Further Thoughts 1 page

Data Time Series from an OGCM Baltic Sea Ice Ocean Model setup for the hindcast period 01/1979 01/2016 page 5/21 Time series used: atmospheric forcing taken from ERA-Interim reanalysis data (Dee et al. 2011) monthly runoff for period 1979 2010 corrected using annual accumulated runoff for extension into 2015 (e.g. Lehmann et al. 2014) water mass characteristics of North Sea are relaxed to climatology and sea level variations are calculated from Baltic Sea Index (e.g. Lehmann et al. 2014) 2.5 km horizontal resolution, 3 m vertical resolution, 240 sec time stepping Landsort sea level as measure for Baltic Sea water level variations hydrographic profiles along Great Belt route from southern Kattegat over Darss Sill into Arkona and Bornholm basin

Methods 1 Ingredients to Major Baltic Inflows page 6/21 sea level filtering barotropic inflows are identified from low-pass filtered Landsort sea level using a Butterworth filter with 1.45 month cutoff period total Landsort sea level change large barotropic inflows: inflows greater than 100 km³ (about 40cm) which marks lower limit for major Baltic inflows at 100 300 km³ salinity of large barotropic inflows: average salinity at Darss Sill between minimum and maximum water level (= inflow phase) major Baltic inflows are the most saline inflows! Legend barotropic inflow major Baltic inflow inflow salinity

Methods 1 Ingredients to Major Baltic Inflows page 7/21 Idea: understand ingredients by explaining occurrence of major inflows within large barotropic inflow spectrum predict salinity of barotropic inflow from atmospheric and oceanic conditions using correlation and multiple linear regression analysis potentially important factors: magnitude/rapidness of inflow event determined by strength/duration of wind penetration of Kattegat waters along Great Belt route (= salinity in transition area) absolute Baltic water level as prerequisite for potential amount of inflowing water freshwater input during the event Results

Methods 2 and 3 Salinity and Sensitivity Experiment Results page 8/21 Idea: Proof of concept! Can the efficiency of the strong major inflow of Dec/2014 be reduced? simulate major Baltic inflow from less favorable saline conditions and investigate effect on Bornholm Basin Idea: better understand impact of atmospheric circulation and freshwater on salinity structure in transition area understand daily variations interannual variations in seasonal cycle sensitivity experiment for freshwater Results

Results 1 Key Ingredients to Major Baltic Inflows page 9/21 Are absolute Baltic Sea water level and freshwater input during the inflow event related to occurrence of major inflows? Baltic water level runoff during event method: correlation of inflow salinity with absolute Landsort sea level at onset of event and total volume input by runoff during the inflow phase absolute Baltic water level and freshwater input during event are not related to salinity of inflow and with that to occurrence of major inflows Legend barotropic inflow major Baltic inflow interestingly, below average water levels have been stated as important prerequisite for the occurrence of major inflows and absence of inflows was related to periods with high freshwater input and high water level e.g. Schinke and Matthäus 1998

Results 1 Key Ingredients to Major Baltic Inflows page 10/21 Are atmospheric conditions such as strength and duration of the westerly wind during the inflow phase related to the occurrence of a major inflow? magnitude rapidness method: correlation of inflow salinity with magnitude and rapidness of inflow event as measure for strength/duration of westerly wind magnitude and rapidness of event are good predictors for salinity of inflow event strength and duration of westerly wind are important Legend barotropic inflow major Baltic inflow

Results 1 Key Ingredients to Major Baltic Inflows page 11/21 Is salinity along the Great Belt route related to the occurrence of major inflows? method: correlate inflow salinity with salinity of water column and at different depths in the Belt Sea directly at onset of the inflow event Samsø Mecklenburg water column corr single depths Darss Sill depth Legend 99% level 95% level o insignificant inflow salinity strongly related to salinity of the water column south of Langeland Belt highest correlation found for Mecklenburg Bight at 18 m depth thickness and penetration of saline bottom layer towards sill is an important prerequisite?

Results 1 Key Ingredients to Major Baltic Inflows magnitude rapidness page 12/21 salinity in Mecklenburg Bight Legend barotropic inflow major Baltic inflow Both atmospheric forcing and salinity prerequisite are of similar importance, how well do they predict the occurrence of a major inflow and should salinity be included for an improved mechanistic understanding?

Results 1 Key Ingredients to Major Baltic Inflows page 13/21 Should salinity be included for an improved mechanistic understanding? method: multiple linear regression with true and predicted salinity according to S = a*saltav + b*dssh + c*dsshdt + d single predictor correlations SALTAV dssh dsshdt (*) significant R = 0.54* R = 0.53* R = 0.43* multiple predictor correlations dssh + dsshdt R = 0.62* SALTAV + dssh R = 0.70* SALTAV + dsshdt R = 0.72* dssh + dsshdt + SALTAV R = 0.80* dssh = magnitude of event dsshdt = rapidness of event SALTAV = Belt Sea salinity correlation between predictors dssh and dsshdt SALTAV and dssh SALTAV and dsshdt 0.23 0.15-0.10 salinity as prerequisite and atmosphere as principal forcing function are independent salinity in transition area considerably improves atmosphere-only prediction

Results 2 Salinity Dynamics along Great Belt Route page 14/21 How large are variations in salinity? How do atmospheric forcing and freshwater input to the Baltic Sea determine these? variations are large on different scales from weekly to interannual vertically averaged salinity seems related to thickness of bottom layer barotropic forcing has severe impact upon salinity structure is able to set up and erode the bottom layer role of freshwater not obvious

Results 2 Salinity Dynamics along Great Belt Route page 15/21 How large are variations in salinity? How do atmospheric forcing and freshwater input to the Baltic Sea determine these? 2 (1) seasonal variations depend on characteristics of bottom layer where largest interannual variations are found (2) increase in average salinity from April to September linked to setup of saline bottom layer developing during calmer summer role of freshwater not obvious 2 1 2 1 dq=q90-q10 water level river runoff

Results 2 Salinity Dynamics along Great Belt Route What is the impact of freshwater input? method: sensitivity experiment keeping atmospheric forcing and initial conditions identical but taking runoff from i.e. a different year higher runoff corresponds to erosion of saline bottom layer and lower salinity in transition area reference experiment difference in salinity page 16/21

Results 3 Sensitivity Experiment with Dec/2014 Inflow page 17/21 Is the impact of the third strongest major inflow on record considerably decreased from unfavorable saline conditions in the Belt Sea? different history of atmospheric forcing and freshwater input leads to differences in saline prerequisites method: take initial conditions from arbitrary year with similar Baltic Sea water level but less favorable saline conditions and simulate the inflow (important to note that such conditions actually exist!) unfavorable saline conditions in Belt Sea strongly reduce salinity of inflowing water

Results 3 Sensitivity Experiment with Dec/2014 Inflow page 18/21 Is the impact of the third strongest major inflow on record considerably decreased from unfavorable saline conditions in the Belt Sea? and the impact of the inflow on the salinity structure in the Bornholm Basin

Summary Improved mechanistic understanding page 19/21 What factors cause the culmination of a barotropic inflow event into a major Baltic inflow? the higher the salinity in the Belt Sea and the stronger the atmospheric forcing the more likely the occurrence of a major Baltic inflow salinity is decreased by higher freshwater input and stronger atmospheric circulation so that calm and dry summers increase the chance for occurrence of major inflows See also: Lehmann et al. (2017). Pathways of deep cyclones associated with large volume changes and major Baltic inflows.

Highlights of this Work consideration of major Baltic inflows in coherent framework of barotropic water exchange leads to improved mechanistic understanding of major Baltic inflows and to more holistic understanding of central Baltic deep water ventilation page 20/21 * * from Matthäus et al. 2008, The inflow of highly saline water into the Baltic Sea, in: State and Evolution of the Baltic Sea 1952 2005

Further Thoughts page 21/21 What is the benefit from an improved mechanistic understanding? might help to better understand the occurrence of stagnation periods as single or combined consequence from lack in atmospheric forcing and favorable saline conditions in the Belt Sea (in present day literature there are different opinions about whether freshwater or atmospheric forcing are responsible! both are in principal also related) assessments on occurrence of major Baltic inflows in climate change projection studies because the mechanism has to be understood if both study design and conclusions are to be reasonable and of maximum scientific value