Performance of Complex Snow Cover Descriptions in a Distributed Hydrological Model System: a Case Study for the High Alpine Terrain of the Berchtesgaden Alps M

Performance of Complex Snow Cover Descriptions in a Distributed Hydrological Model System: a Case Study for the High Alpine Terrain of the Berchtesgaden Alps M

WATER RESOURCES RESEARCH, VOL. 49, 2619–2637, doi:10.1002/wrcr.20219, 2013 Performance of complex snow cover descriptions in a distributed hydrological model system: A case study for the high Alpine terrain of the Berchtesgaden Alps M. Warscher,1 U. Strasser,2 G. Kraller,3 T. Marke,2 H. Franz,3 and H. Kunstmann1,4 Received 9 December 2012; revised 19 March 2013; accepted 24 March 2013; published 28 May 2013. [1] Runoff generation in Alpine regions is typically affected by snow processes. Snow accumulation, storage, redistribution, and ablation control the availability of water. In this study, several robust parameterizations describing snow processes in Alpine environments were implemented in a fully distributed, physically based hydrological model. Snow cover development is simulated using different methods from a simple temperature index approach, followed by an energy balance scheme, to additionally accounting for gravitational and wind-driven lateral snow redistribution. Test site for the study is the Berchtesgaden National Park (Bavarian Alps, Germany) which is characterized by extreme topography and climate conditions. The performance of the model system in reproducing snow cover dynamics and resulting discharge generation is analyzed and validated via measurements of snow water equivalent and snow depth, satellite-based remote sensing data, and runoff gauge data. Model efficiency (the Nash-Sutcliffe coefficient) for simulated runoff increases from 0.57 to 0.68 in a high Alpine headwater catchment and from 0.62 to 0.64 in total with increasing snow model complexity. In particular, the results show that the introduction of the energy balance scheme reproduces daily fluctuations in the snowmelt rates that trace down to the channel stream. These daily cycles measured in snowmelt and resulting runoff rates could not be reproduced by using the temperature index approach. In addition, accounting for lateral snow transport changes the seasonal distribution of modeled snowmelt amounts, which leads to a higher accuracy in modeling runoff characteristics. Citation: Warscher, M., U. Strasser, G. Kraller, T. Marke, H. Franz, and H. Kunstmann (2013), Performance of complex snow cover descriptions in a distributed hydrological model system: A case study for the high Alpine terrain of the Berchtesgaden Alps, Water Resour. Res., 49, 2619–2637, doi:10.1002/wrcr.20219. 1. Introduction [3] Numerous model approaches exist to simulate snow processes on different scales. Depending on the purpose of [2] Runoff in Alpine regions is largely controlled by the model application, e.g., runoff simulations, flood or snow accumulation, storage, redistribution, and melting. avalanche forecasting, glacier mass balance, or small-scale Generally, the full complexity of the water balance in snow physics studies, many snow models have been devel- Alpine regions is only partially understood. High altitudinal oped. The approaches can be classified in three different gradients, a strong variability of meteorological variables groups with numerous transitions in between (1) index in time and space, unquantified snow cover dynamics, models (e.g., temperature, wind, or radiation index), (2) complex and often unknown hydrogeological settings, and models that determine the energy balance of a snow pack heterogeneous land use and soil formations result in high or surface, and (3) multilayer schemes that additionally uncertainties in the quantification of the water balance and simulate processes within the snow pack, e.g., stratification, the prediction of discharge rates [Klemes, 1990]. metamorphism, and the accompanying energy and mass fluxes. Besides, there are formulations to account for additional processes like the interaction between snow and 1Institute of Meteorology and Climate Research (IMK-IFU), Karlsruhe Institute of Technology (KIT), Garmisch-Partenkirchen, Germany. vegetation or for lateral snow transport. An overview of 2Institute of Geography, University of Innsbruck, Innsbruck, Austria. distributed snow modeling is given by Kirnbauer et al. 3Berchtesgaden National Park Administration, Berchtesgaden, [1994] and Fierz et al. [2003], of snow process modeling in Germany. 4 different applications by Marsh [1999], and of snow pro- Institute for Geography, University of Augsburg, Augsburg, Germany. cess integration in land surface models by Pomeroy et al. Corresponding author: M. Warscher, Institute of Meteorology and [1998]. Climate Research (IMK-IFU), Karlsruhe Institute of Technology (KIT), [4] In distributed hydrological models, index approaches Kreuzeckbahnstr. 19, D-82467 Garmisch-Partenkirchen, Germany. ([email protected]) are most commonly used because of their simplicity, robustness, and efficiency. It is obvious, however, that they ©2013. American Geophysical Union. All Rights Reserved. are not suitable tools to produce reasonable results for 0043-1397/13/10.1002/wrcr.20219 snow cover development in complex Alpine terrain on 2619 WARSCHER ET AL.: COMPLEX SNOW DESCRIPTIONS IN A HYDROLOGICAL MODEL regional to local scales. Moreover, it is questionable to use [Schulla and Jasper, 2000] is applied to simulate water flux temperature index methods in climate change impact and storage terms in the catchment. The model comprises assessment studies because of their high sensitivity to process-based, mass-conserving algorithms for the compo- temperature change and their inability to adapt to changing nents of the terrestrial water cycle. Details can be found in systems. This holds particularly in high mountain regions the technical model description [Schulla and Jasper, 2000]. with complex topography that are sensitive to climate The model was applied successfully to Alpine catchments change and at the same time, subject to high uncertainties in previous studies by Gurtz et al. [2003], Verbunt et al. in climate projections [Smiatek et al., 2009, 2011; Laux et [2003], Jasper et al. [2004], Kunstmann and Stadler [2005], al., 2011; Kobierska et al., 2012]. Kunstmann et al. [2005], and others. The required data to [5] Marks et al. [1999], Susong et al. [1999], Garen and run the model consist of spatially distributed data sets to Marks [2005], Lehning et al. [2006], Strasser [2008], and describe topography, land use, and soil parameters as well Liston and Elder [2006] present the application of distrib- as station measurements of meteorological variables. uted snow model systems that are suited for mountainous terrain and based on physical descriptions. Bavay et al. 3.1. Hydrometeorological Data [2009] and Kobierska et al. [2012] use the model devel- [8] The meteorological data sets were recorded by 34 oped by Lehning et al. [2006] for future runoff simulations. meteorological stations, of which 20 are operated automati- Runoff formation is assessed by a conceptual approach in cally and provide hourly values of main meteorological this case. Rigon et al. [2006] recently developed a distrib- variables. Fourteen of them are mechanical stations that uted hydrological model system to simulate coupled mass provide daily measurements of precipitation. Six of the and energy fluxes in Alpine catchments. They all show— stations are situated in Austrian territory and operated by with some limitations—successful applications of distrib- the Central Institute for Meteorology and Geodynamics. uted snow models to Alpine catchments with high model The stations in German territory are operated by the resolution in time and space. To our knowledge, sophisti- Berchtesgaden National Park Administration, the Adminis- cated snow modeling methods including lateral snow trans- tration Union of the Berchtesgaden-Koenigssee Region, the port processes have not yet been used and studied in a Bavarian Avalanche Warning Service, and the German physically based, fully distributed hydrological model on a Weather Service (Table 1). Figure 1 shows the locations of regional scale. This study aims at establishing a distributed the 16 automatic stations within the modeling domain. All runoff model of this type that is, in addition, capable of per- data were sampled every 10 s and recorded every 10 min. forming scenario runs in the region. This paper will report Recordings are then aggregated to hourly values (i.e., aver- about the investigation of the influence of different snow age for temperature, humidity, wind speed, radiation, and model approaches on modeling runoff dynamics in com- atmospheric pressure; total for precipitation). The daily plex, high Alpine terrain. precipitation data of the 14 mechanical stations are disag- gregated to hourly values using the hourly measurements 2. Study Area of the automatic stations. The study reported here is based on station data from 2001 to 2010. [6] The investigated catchment of the Berchtesgadener [10] The point measurements of meteorological variables Ache (Bavarian Alps, Germany) comprises an area of 432 are spatially distributed to each grid cell of the model km2. It is characterized by an extreme topography with domain. Air temperature, humidity, wind speed, and pre- mountain ranges covering an altitude from 603 to 2713 m cipitation are interpolated with an elevation-dependent above mean sea level (MSL). About one quarter of the regression function considering individual regression catchment area has slopes steeper than 35. The Lake parameters for each time step and three different elevation Königssee (603 m MSL) is situated next to the highest and layers. This allows for the detection and reproduction of best known summit of the region, the

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