## Background & Summary

One of the main impacts of climate change highlighted by the 5th IPCC assessment report (AR5) is “the amplification of temperature extremes by changes in soil moisture”1,2,3, via a positive feedback mechanism that intensifies and increases the frequency of heat waves given the projected increase in summer drying conditions. The associated processes of the terrestrial water and energy cycle result from the interactions between the subsurface, the land surface and the atmosphere. These processes are essential to reproduce, predict and project climatic extreme events in simulations4,5. Because in most land surface models (LSMs) water transport and runoff has historically been treated in a simplified way, combined with free drainage lower boundary conditions in the subsurface, soil moisture states and fluxes and interactions between groundwater and soil moisture are biased with multiple impacts especially in areas with shallower groundwater, e.g., on the land-atmosphere coupling and the reproduction of extremes such as heat waves6. Recent LSM model improvements for regional climate models (RCMs)7,8 can lead to physically consistent interactions between the groundwater, the vadose zone, and the land-surface. Yet, many RCMs and global climate models (GCMs), contributing to CMIP53 or CORDEX9 still simplify these interactions. The AR5 acknowledges that the spread in regional climate projections over Europe is still substantial, due to large uncertainties related to natural heterogeneity and chaotic processes, but also due the inherent model structural deficiencies in fully representing two-way, non-linear feedbacks across the terrestrial system.

The dynamic feedbacks between the interacting compartments of the terrestrial system have been studied previously and corroborate the added value in coupling the respective compartment models to improve simulations7 and forecasts. Research has focused on the interactions of the soil moisture state and the atmosphere10. In addition, the sensitivity of land surface fluxes on the depth of the groundwater table has been demonstrated11, particularly for a critical water table depth of 1–5 m where the influence on energy balance is most pronounced, depending on soil heterogeneity and land use type. Similar effects of water table depths on land surface fluxes have been found5 using an idealized simulation set-up to infer the effects of topography, land cover, atmospheric forcing and subsurface heterogeneity. A study12 on the feedback between groundwater table depth and energy fluxes under changing climate conditions showed that such interactions depend on the prevailing hydrological conditions (energy limited versus moisture limited).

Unlike previous approaches, in which groundwater dynamics are usually not interacting with the atmosphere, terrestrial models such as the Terrestrial Systems Modeling Platform (TSMP) can provide a fully coupled representation of the terrestrial water and energy cycles. The impact of the representation of groundwater in regional climate simulations, has been demonstrated in a number of studies13,14 from the catchment to the continental scale. Previous TSMP simulations over Europe concentrated on the 2003 heat wave, showing a significant impact of groundwater states and the related land-atmosphere feedbacks15, and demonstrating far reaching impacts of human water use, beyond the local scale through atmospheric moisture transport16. However, no physically consistent climatology of the coupled terrestrial hydrologic and energy cycles from the groundwater into the atmosphere is currently available.

In this study, TSMP is run for the European CORDEX domain17 as a first step to establish a terrestrial systems climatology for the past decades, with a focus on a physically consistent representation of variably saturated groundwater and overland flow coupled with land surface and atmospheric processes. The dataset we present features daily simulation results since January 1989, but as some grid cells only reach the groundwater equilibrium in 1995, the period applicable for analysis consists of 23 water-years from September 1996 to August 2018 of all essential variables to describe the terrestrial water and energy cycles (Online-only Table 1). The TSMP- G2A data set is a valuable innovative data set to analyze and understand the mechanisms and interactions of water and energy in the terrestrial system including extreme events such as heat waves and droughts.

## Methods

### Data generation method - the terrestrial systems modeling platform (TSMP)

The Terrestrial System Modeling Platform, TSMP13,18 version 1.1 is a scale-consistent fully coupled regional Earth system model, comprising the numerical weather prediction model COSMO version 5.0119, the land surface model CLM version 3.520 and the surface-subsurface hydrologic model ParFlow21,22,23 version 3.2. The models are externally coupled via the Ocean Atmosphere Sea Ice Soil (OASIS3) Model Coupling Toolkit (MCT) coupler24.

The COnsortium for Small Scale MOdelling (COSMO) model system is used by several meteorological services for operational numerical weather prediction (NWP)19 and for climate change research as the COSMO Climate Limited area Modelling system (CCLM)25. COSMO is a non-hydrostatic limited-area atmospheric model based on the primitive thermo-hydrodynamic Euler equations without scale-dependent approximations, describing fully-compressible flow in a moist atmosphere19. In COSMO, both adiabatic transport processes and diabatic processes, such as radiation, turbulence, cloud formation and precipitation are included. The prognostic atmospheric variables in this study encompass pressure, horizontal and vertical wind components, temperature, water vapour, cloud water, cloud ice, rain, snow and the turbulent kinetic energy. At land grid points, additional diagnostic variables, such as the 2 m air temperature and humidity and 10 m wind are provided.

In TSMP, the lower boundary information for COSMO is provided by the widely used Community Land Model (CLM). This boundary condition is composed of surface albedo, upward longwave radiation, sensible heat flux, latent heat flux, water vapor flux, and zonal and meridional surface stresses required by the atmospheric model20. These variables are determined by diverse eco-hydrological processes simulated by CLM, such as root water uptake and transpiration by plants. In turn, CLM receives the short- and long-wave radiation, near-surface temperature, barometric pressure, specific humidity, wind speeds, and precipitation from COSMO at each grid point.

In TSMP, the surface water and groundwater flow are calculated by ParFlow. In the coupling, CLM provides the sources and sinks for soil moisture to ParFlow; these are precipitation throughfall and depth-differentiated (root) water uptake from evapotranspiration. In turn, in order to calculate the land surface water and energy balances, CLM receives from ParFlow spatially distributed soil moisture and soil matric potential, which are calculated by ParFlow based on Richards equation and the appropriate initial and boundary conditions in a continuum approach21,23. Surface runoff is calculated by a kinematic wave equation in ParFlow26. This leads to a dynamic coupling of land surface processes and 3D variably saturated groundwater flow 3D heterogeneity in soil and hydrogeologic hydraulic properties.

The component models are coupled using OASIS3-MCT13, following a Multiple Program Multiple Data (MPMD) paradigm in an efficient parallel approach for massively parallel supercomputer environments18. Hence all simulations of this study are based on TSMP in fully coupled mode including ParFlow, CLM and COSMO.

### Model setup

The model is set up over the European continent (Fig. 1), using a rotated latitude-longitude model grid with a horizontal resolution of 0.11° (12.5 km, termed as the “EUR-11” grid) from the COordinated Regional Downscaling EXperiment (CORDEX) project17,27,28, to ensure consistency in comparison with the ensemble of CORDEX RCM experiments (Table 1).

In this setup, CLM has 10 soil layers with a total depth of 3 m. These layers correspond to the 10 top layers of ParFlow, which has 5 additional layers with increasing thickness towards the bottom of the model domain reaching a total depth of 57 m to represent most of the active aquifers in Europe29. Deeper multi-story confined aquifer system and very deep basin flow at a time scale of hundreds to thousands of years is not accounted for in the model. Along the coastlines the boundary condition is defined as a constant hydraulic pressure with a hydrostatic profile based on a shallow water table of 0.05 m below the land surface. The topography in ParFlow is represented by D4 slopes calculated from the USGS GTOPO30 digital elevation data set, and the terrain following grid transform30 with variable vertical discretization in order to improve the simulations for large topographic gradients and coarse lateral resolutions. The time step for ParFlow and CLM is 15 minutes, while COSMO runs with a 60 seconds time step. The coupling frequency between the component models is 15 minutes using averaged values from COSMO.

The hydraulic conductivity parameters for ParFlow are estimated31 based on the soil texture taken from the Food and Agricultural Organization (FAO) database32. Fifteen different soil types condition the permeability, so that, e.g., grid cells with a soil dominated by clay have a vertical permeability of 0.062 m/hr, while for those composed mainly of sand, a vertical permeability of 0.27 m/hr is defined. The horizontal permeability values are scaled by a factor of 1000, following the scaling effect of the hydraulic parameter according to the grid resolution, resulting from the loss of information of the terrain curvature as consequence of spatial aggregation33. The land cover data from the Moderate Resolution Imaging Spectroradiometer (MODIS34) data is used to define the plant functional types (PFT) for CLM. The leaf area index, the stem area index, and the monthly bottom and top heights of each PFT are calculated based on the global CLM surface data set20. The COSMO model configuration resembles the settings of the CCLM community (https://www.clm-community.eu/).

In order to initialize the model with regard to land surface and subsurface hydrologic and energy states, a dynamic hydrologic equilibrium with the atmosphere must be obtained via a spinup of the model system (Fig. 2, top right boxes). In the spinup, the groundwater-land surface subsystem was simulated using ParFlow-CLM using a 1979–1989 climatologic atmospheric forcing derived from the ERA-Interim35 reanalysis. This forcing consists of an annual time series of 6-hourly time steps at each grid point, averaged over 11 years (1979–1989). The reanalysis data were retrieved from the European Centre for Medium-Range Forecasting (ECMWF) MARS archive. The ERA-Interim variables specific humidity, air temperature, 10 m wind speed, precipitation, long and short wave as well as the geopotential height at 0.7° lateral resolution at the lowest ERA-Interim model level were resampled to the EUR-11 grid of TSMP using the COSMO “int2lm” pre-processing software (Fig. 2, top left boxes). A stable dynamic equilibrium with regard to, e.g., soil moisture and groundwater states was achieved after running the ParFlow-CLM model system in a closed loop for 20 cycles. One cycle means one year simulation (January to December) driven by the above mentioned data set. After 20 cycles, the surface and subsurface model states converge and then constitute the initial surface and subsurface conditions for the fully coupled simulation starting from 1989-01-01. The model initialisation in 1989 makes the simulations compatible with the experiment protocol of the EURO-CORDEX RCM ensemble experiments.

The ERA-Interim reanalysis data is also used for the COSMO model atmospheric initial and lateral boundary conditions for the EUR-11 domain throughout the fully coupled model simulations. In order to update the lateral boundaries more frequently than the available 00 and 12 UTC analyses, additional 3, 6, 9 and 15, 18 and 21 UTC forecasts from ERA-Interim were estimated by linear interpolation via the MARS retrieval system of ECMWF to inform the model every 3 h along the boundaries. TSMP is run transient from January 1989 to August 2018, with monthly restarts and no re-initializations of any compartment. Nudging is not used in order to let the evolution of feedback processes evolve freely.

The simulation workflow (Fig. 2) commences with the extraction of initial conditions (IC) and boundary conditions (BC) from ECMWF, followed by the pre-processing of the COSMO inputs with int2lm as a driver for the spin-up runs and as forcing data for the main TSMP simulations. The model spin-up of 20 cycles (years) is performed once before the actual climate simulations with TSMP (run TSMP in Fig. 2) can be launched. Concurrently to the model runs, TSMP outputs are continuously post-processed, analysed, visualized and stored at the Jülich Supercomputing Centre following a data-centric simulation and processing paradigm where data moving is kept to a minimum.

The raw outputs from the three component models are archived with 3 h frequency in monthly netCDF files. In addition to data format conversion (binary files from ParFlow to netCDF) and the reduction of the number of files by merging the data in monthly files, post processing also consists of temporal aggregation, calculating daily, monthly and seasonal temporal averages using primarily the Climate Data Operators (CDO, available at http://www.mpimet.mpg.de/cdo). Boundary relaxation zones are removed from each side of the domain. In order to efficiently exchange data and as a means of data provenance tracking, final outputs are transferred to be as much as possible compliant with the CORDEX Archive Design, which in turn is derived from the CMIP specifications. In the process of “CMORization”, data are stored using a predefined Data Reference Syntax (DRS) for the paths and filenames, and defined meta-data per variable as well as global attributes to describe the experiment. This ensures re-usability and interoperability.

## Data Records

The data set is available as netCDF V3 files without compression and is stored at a persistent data repository at the Jülich Supercomputing Centre36, as well as at PANGAEA37. The spatial resolution and grid specification corresponds to the EURO-CORDEX EUR-11 domain, according to the CORDEX data protocol specification (Version 3.1, 3 March 2014, http://is-enes-data.github.io/cordex_archive_specifications.pdf), with 424 × 412 grid elements on the rotated 0.11° grid. We provide time-series of daily means, aggregated into yearly files. The file names are structured according to the Data Reference Syntax as defined by the EURO-CORDEX archive design: <variable>_<spatial resolution>_<boundary conditions dataset>_<period>_<run identification>_<institute>_<model>_<data version>_<time step>_<initial time step>_<final time step>.

For example, the file clw_EUR-11_ECMWF-ERAINT_evaluation_r1i1p1_FZJ-IBG3-TSMP11_v1_day_20070101-20071231.nc is the vertical integrated cloud ice variable, at the EUR-11 resolution (12.5 km). The run used ECMWF ERA-Interim data, ensemble member r1i1p1, as boundary conditions during the evaluation period, performed at the Research Centre Jülich (FZJ) at IBG-3 Institute, using TSMP version 1.1. It corresponds to the first data-set version (v1), and the file contains daily values between 2007-01-01 and 2007-12-31. Each self-describing file also contains the definition of the geographical coordinate system of the grid (latitudes, longitudes and rotated pole).

### Limitations

Due to the fact that the simulation was run transient after initialisation in 1989-01-01, without re-initializations, the model solution is expected to diverge from the forcing data as well as observations at the event scale. However, the regional anomalies compared to reference observational datasets show that the model captures the system dynamics and succession of dry/wet years, as well as heat waves and cold spells (Figs. 3 and 4). Furthermore, the 12.5 km resolution is not high enough to explicitly resolve convection and the development of convective precipitation38,39 or the hydrology of smaller headwater catchments, including flash-flood prone watersheds.

## Technical Validation

The current experiment was designed to produce a near-natural climatology of the physical states of the terrestrial system, without the influence of, e.g., human water use. Accordingly, no real-world measurements are available for this type of system state for comparison and validation. Nevertheless, Figs. 3 and 4 show that the model reproduces the succession of warm/cold and wet/dry seasons on the regional scale for the PRUDENCE analysis regions40 (boxes in Fig. 1), compared to the one of the commonly used reference datasets for temperature and precipitation, the 0.25 degrees gridded European Climate Assessment and Dataset41 (E-OBS v19, ECA&D). The Pearson’s correlation values between the simulated and observed data series show good agreement in most European regions, with scores ranging from 0.73 to 0.94 for mean temperature anomalies and from 0.62 to 0.88 for precipitation anomalies. The time-series used for the validation period comprises 22 years from 01-01-1996 to 31-12-2018, because the model had not reached full groundwater states equilibrium in all grid cells until 1995.

The total column water storage simulated by TSMP was assessed by comparing to the observations of GRACE42 (Fig. 5). The total column water storage i, j (L) from the land surface to the bottom of the aquifer constitutes an integrated measure of water resources calculated as follows43 in Eq. (1):

$${s}_{i,j}=\mathop{\sum }\limits_{k}^{nz}{sat}_{i,j,k}{por}_{i,j,k}d{z}_{k}$$
(1)

where sati,j,k is the relative saturation (−), pori,j,k the porosity (−) for a pixel with indices i, j, k in the lateral and vertical direction, respectively, dzk is the extent of a vertical grid cell (L) and nz is the number of grid cells in the vertical direction. Monthly anomalies were calculated for each pixel and then within each PRUDENCE region. Figure 5 shows that the column water storage simulated by TSMP is in good agreement with the GRACE data in most PRUDENCE regions, but there are discrepancies in the Alpine region (AL) as well as in Scandinavia (SC).

The model capability of reproducing water storage and water table depth have been discussed in previous studies focusing on the European heat wave of 200315,16. The overall WTDs simulated with TSMP are comparable to the WTD composition by an observation based global gridded model of WTD44 with large-scale patterns, following the terrain, representing a shallow WTD along the coastlines and in arid valleys and also inundated wetlands in lowland regions, e.g., Netherlands15.

## Usage Notes

As most climate data in netCDF, starting with a quick visualization can be easily achieved with any netCDF viewer such as ncview (http://meteora.ucsd.edu/~pierce/ncview_home_page.html), meta data of the file may be best viewed using the ncdump command; a list of software tools and libraries for using netCDF is available from the developers of the netCDF format at UCAR (https://www.unidata.ucar.edu/software/netcdf/software.html). The CDO software is a collection of operators for standard processing of climate model data and can be directly used to work with this dataset taking into account the spatial reference of the data as well as the temporal information. The application is straightforward and allows a wide range of calculations from space-time aggregation to sophisticated climate index calculations. For more personalized analysis and visualization, we also recommend using Python with specific libraries such as Pandas or xarray. Codes created specifically for post-processing TSMP are also available with the TSMP release version.