3.1 Methods for downscaling physical and biogeochemical fields
The downscaling of global earth system model climate projections to the North Sea and Baltic Sea was performed with the ocean model NEMO-SCOBI (Ruvalcaba-Baroni et al. 2024). The model has a regular grid with horizontal resolution of about 3.7 km and a vertical resolution of 3 m at the surface, decreasing to 22 m in the deepest parts of the domain (Norwegian trench). The Swedish Coastal Ocean and Biogeochemical model (SCOBI) is the biogeochemical component in NEMO-SCOBI (Ruvalcaba Baroni et al. 2024; Almroth-Rosell et al. 2015; Eilola et al. 2009). The SCOBI model includes 13 pelagic variables: dissolved oxygen, nitrate, ammonia, phosphate, mineral-bound inorganic phosphorus, dissolved silicate, three phytoplankton groups (diatoms, flagellates and others, and cyanobacteria), zooplankton and finally detritus pools of nitrogen, phosphorus and amorphous biogenic silica. The sediment includes four state variables of nitrogen, silicon, organic phosphorus and inorganic phosphorus. Hydrogen sulphide concentrations are represented by ’negative oxygen’ equivalents as described in Fonselius (1962).
Our regional downscalings are driven at the boundaries by the global climate model CNRM-CM6-1 (Voldoire et al. 2019). More specifically using its contribution to CMIP6 (O’Neill et al. 2016). The atmospheric forcing is not taken directly from the coarse global model, but instead first downscaled using the regional atmospheric model HCLIM (Belušić et al. 2020) to a horizontal resolution of 0.11 degrees to better capture local and regional winds and precipitation. These downscaled atmospheric runs are part of the EURO-Cordex project (Jacob et al. 2020) that provides regional atmospheric downscaling for Europe. The temporal resolution of our atmospheric forcing is hourly.
Three different scenarios were downscaled. The first is he historical period 1951–2014, where greenhouse gases, aerosols and other climate forcing parameters are kept close to those observed during the period. The two other scenarios are two different climate scenarios for the period 2015–2100, following two different shared socioeconomic pathways (SSPs), namely SSP1-2.6 and SSP3-7.0. SSP1-2.6 assumes a low emission, high mitigation future, while SSP3-7.0 corresponds to a high emission, low mitigation scenario. The number after the dash gives the radiative forcing in these runs in watts per m2 compared to a preindustrial background. A higher value implies greater warming.
Open boundary conditions for the ocean model are taken directly from the global climate model CNRM-CM6-1 for the respective scenarios. The variables used for forcing are salinity and temperature, sea surface height and barotropic currents. These variables were available only as monthly means, suggesting that high frequency variability at the boundaries will be muted in our simulations.
The daily runoff data from 1951 to 2100 was produced using dedicated CMIP6 simulations with the Hydrological Predictions for the Environment model, specifically the European application version 3.1.8 (E-HYPE; Donnelly et al. 2016), forced by the same climate model projections described above. These values were later modified by a factor of 0.88 after comparison with datasets from the North Sea (ICG-EMO database of European rivers; Lenhart et al. 2010) and from the Baltic Sea (Gustafsson et al. 2012), during the historical period of 1951–2014. The same scaling factor was assumed for the future period. A similar approach was used to estimate the nutrient loads from rivers, which include nitrate, ammonium, phosphate, silica and bioavailable detrital nitrogen and phosphate. For the historical period, E-HYPE nutrient loads (both CMIP6 scenarios) were yearly and basin wise adjusted, to the available observational data in the Baltic Sea (Gustafsson et al. 2012) and North Sea (ICG-EMO database of European rivers; Lenhart et al. 2010). Future river loads (after 2015) assume a constant scaling factor, which is the average of the yearly scaling factors computed between observations and E-HYPE model for a recent period (2006–2017). The method implies the underlying assumption of existing similar conditions of land use and E-HYPE performance in the recent period and in the future. As E-HYPE output does not include silica properties, future concentrations were obtained by assuming a climatology concentration computed for the historical period. The differences between the average for the historical reference period 1985–2014 (black) and the nutrient loads, runoff and river nutrient concentration are shown with time in Figs. 2 and 3.
Atmospheric deposition for the historical period is based on a monthly data set at different basins of the Baltic Sea, provided by the Baltic NEST Institute (Savchuk et al. 2018). For the North Sea region, the study assumes that the nutrient atmosphere’s deposition is the same as in the Baltic Proper area. The data set was used directly as forcing in the historical period and used to compute a monthly climatology of the recent years (2006–2017) that was assumed for the future period. Details on the data sets and methods are also described in Ruvalcaba-Baroni et al. (2024).