Chen, Z., Hartmann, A., Wagener, T., & Goldscheider, N. (2018).Dynamics of water fluxes and storages in an Alpine karst catchmentunder current and potential future climate conditions. Hydrology andEarth System Sciences, 22(7), 3807-3823.https://doi.org/10.5194/hess-22-3807-2018

Publisher's PDF, also known as Version of recordLicense (if available):CC BYLink to published version (if available):10.5194/hess-22-3807-2018

Link to publication record in Explore Bristol ResearchPDF-document

University of Bristol - Explore Bristol ResearchGeneral rights

This document is made available in accordance with publisher policies. Please cite only thepublished version using the reference above. Full terms of use are available:http://www.bristol.ac.uk/red/research-policy/pure/user-guides/ebr-terms/

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018https://doi.org/10.5194/hess-22-3807-2018© Author(s) 2018. This work is distributed underthe Creative Commons Attribution 3.0 License.

Dynamics of water fluxes and storages in an Alpine karst catchmentunder current and potential future climate conditionsZhao Chen1, Andreas Hartmann2,3, Thorsten Wagener3, and Nico Goldscheider1

1Institute of Applied Geosciences, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany2Institute of Hydrology, Albert Ludwigs University of Freiburg, Freiburg, Germany3Department of Civil Engineering, University of Bristol, UK

Correspondence: Zhao Chen (zhao.chen@kit.edu)

Received: 11 April 2017 – Discussion started: 8 May 2017Revised: 1 April 2018 – Accepted: 6 June 2018 – Published: 18 July 2018

Abstract. Karst aquifers are difficult to manage due to theirunique hydrogeological characteristics. Future climate pro-jections suggest a strong change in temperature and pre-cipitation regimes in European karst regions over the nextdecades. Alpine karst systems can be especially vulnera-ble under changing hydro-meteorological conditions sincesnowmelt in mountainous environments is an important con-trolling process for aquifer recharge and is highly sensitiveto varying climatic conditions. Our paper presents the firststudy to investigate potential impacts of climate change onmountainous karst systems by using a combined lumped anddistributed modeling approach with consideration of subsur-face karst drainage structures. The study site is character-ized by high-permeability (karstified) limestone formationsand low-permeability (non-karst) sedimentary Flysch. Themodel simulation under current conditions demonstrates thata large proportion of precipitation infiltrates into the karstaquifer as autogenic recharge. Moreover, the result showsthat surface snow storage is dominant from November toApril, while subsurface water storage in the karst aquiferdominates from May to October. The climate scenario runsdemonstrate that varied climate conditions significantly af-fect the spatiotemporal distribution of water fluxes and stor-ages: (1) the total catchment discharge decreases under allevaluated future climate conditions. (2) The spatiotempo-ral discharge pattern is strongly controlled by temperaturevariations, which can shift the seasonal snowmelt pattern,with snow storage in the cold season (December to April)decreasing significantly under all change scenarios. (3) In-creased karst aquifer recharge in winter and spring, and de-creased recharge in summer and autumn, partly offset each

other. (4) Impacts on the karst springs are distinct; the low-est permanent spring presents a “robust” discharge behav-ior, while the highest overflow outlet is highly sensitive tochanging climate. This analysis effectively demonstrates thatthe impacts on subsurface flow dynamics are regulated bythe characteristic dual flow and spatially heterogeneous dis-tributed drainage structure of the karst aquifer. Overall, ourstudy highlights the fast groundwater dynamics in mountain-ous karst catchments, which make them highly vulnerable tofuture changing climate conditions. Additionally, this workpresents a novel holistic modeling approach, which can betransferred to similar karst systems for studying the impactof climate change on local karst water resources with consid-eration of their individual hydrogeological complexity andhydraulic heterogeneity.

1 Introduction

The Alps, called the “water tower of Europe”, form head-waters for important regional river systems (Viviroli et al.,2007). Alpine catchments are generally characterized byabove-average precipitation due to orographic effects, as wellas by colder temperatures resulting in lower evapotranspira-tion and temporary water storage in the form of snow andice (Zierl and Bugmann, 2005). Climate projections indicatethat a shift in snow and precipitation patterns is likely to altercatchment runoff regimes (Gobiet et al., 2014). Additionally,extreme events, such as floods and droughts, are expectedto increase in frequency and intensity (Dobler et al., 2013;Rössler et al., 2012). For sustainable management of water

Published by Copernicus Publications on behalf of the European Geosciences Union.

3808 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

resources in Alpine areas, it is imperative to understand thecomplex mountainous hydrological processes (Kraller et al.,2012).

In this context, numerical models are usually applied to de-scribe the hydrological processes in Alpine catchments (Ab-baspour et al., 2007; Achleitner et al., 2009; Benischke et al.,2010; Braun and Renner, 1992; Junghans et al., 2011; Kralleret al., 2012). Lumped models are easy to use in gauged catch-ments because their parameters can be effectively found viacalibration. For studying the spatial patterns of hydrologi-cal processes across a catchment, distributed models are re-quired, which discretize the model domain into a grid ofhomogeneous subunits, for which surface and/or subsurfaceflow can be described by flow equations derived from basicphysical laws. Previously, most distributed models focusedon surface hydrological variables (e.g., vegetation, soil andsnow cover) and/or anthropogenic variables (e.g., land useand water use), with relatively poor subsurface representa-tions. Few studies (e.g., Kraller et al., 2012; Kunstmann etal., 2006; Kunstmann and Stadler, 2005) explicitly consid-ered subsurface processes such as recharge, drainage andstorage in their models for Alpine regions. It is generally ac-cepted that the geological and lithological setting for moun-tainous catchments are often complex and could have sig-nificant impact on the catchment flow regime (Goldscheider,2011; Rogger et al., 2013). The situation is even more com-plex when mountain ranges within a catchment consist ofhighly permeable limestone formations hydraulically charac-terized by fissures and/or conduit drainage networks, as wellas concentrated discharge via springs (Goldscheider, 2005;Gremaud et al., 2009; Lauber and Goldscheider, 2014).

In order to better understand complex hydrological pro-cesses in mountainous karstic catchments as well as quantify-ing their dynamics, this study presents a spatially distributedinvestigation of the water fluxes and storages in a high-elevation Alpine catchment considering its complex subsur-face heterogeneous drainage structure. The study catchmentconstitutes an optimal test case to explore complex hydro-logical processes since it includes many typical characteris-tics of Alpine catchments, such as a seasonal snow cover,a large range of elevations and a highly varied catchmentflow regime. Furthermore, the hydrogeology in the inves-tigated catchment is complex. It is characterized by high-permeability limestone formations (karst areas) and low-permeability Flysch sedimentary rocks (non-karst areas) asdescribed by Goldscheider (2005). Here, we expanded anexisting model (Chen and Goldscheider, 2014) by adding asnow accumulation and melting routine with high spatiotem-poral resolution. We also developed a tailored calibrationstrategy, building on a previous sensitivity analysis by Chenet al. (2017), to calibrate the proposed catchment model rea-sonably and effectively.

Several recent studies indicated the significant impactof climate change on the catchment discharge behavior ofAlpine areas, and demonstrated the changing characteris-

tics of flow regimes including amount, seasonality, minimaand maxima, as well as impacts on other hydrological vari-ables, e.g., soil moisture and snow cover (Dobler et al., 2012;Jasper et al., 2004; Kunstmann et al., 2004; Middelkoop etal., 2001; Rössler et al., 2012; Zierl and Bugmann, 2005).Taylor et al. (2013) highlighted the impact of changing cli-matic conditions on aquifer dynamics in mountainous areas.They also pointed out that the effects of receding Alpineglaciers on groundwater systems are poorly understood. Gre-maud et al. (2009) and Gremaud and Goldscheider (2010)studied a geologically complex, glacierized karst catchmentin the Alps by combining tracer tests and hydrological mon-itoring and found that the changing hydro-meteorologicalconditions affect the water storage in snow and ice signifi-cantly, which have high impact on the aquifer recharge pro-cesses and discharge dynamics. Finger et al. (2013) investi-gated glacier meltwater runoff in a high Alpine karst catch-ment under present and future climate conditions using tracerexperiments, karst structure modeling and glacier melt mod-eling. The results indicated that parts of the glacier melt-water are drained seasonally by the underlying karst systemand the expected climate change may jeopardize the wateravailability in the karst aquifer. In order to better understandclimate-change effects on complex hydrological processes inAlpine karstic environments, we assessed the impacts of var-ied climate conditions on the water fluxes and storages inthe simulated model domain, and we identified the hydro-logical processes most sensitive to potential climate change.For this analysis, we used a pragmatic and widely used deltaapproach to project the climate change in the model domain(e.g., Dobler et al., 2012; Lenderink et al., 2007; Singh et al.,2014).

2 Study area

The study catchment is located in the northern Alps on theGermany/Austria border (Fig. 1a). It has an area of about35 km2, and an altitude varying between 1000 m a.s.l. (thelowest part of the Schwarzwasser valley) and 2230 m a.s.l.(the summit of Hochifen). The climate in the area is cool-temperate and humid. The nearest permanent weather sta-tion lies to the east in the Breitach valley at an altitude of1140 m a.s.l. There, the mean monthly temperature rangesfrom −2.2 ◦C in January to 14.4 ◦C in July, with an annualaverage of 5.7 ◦C (based on data from 1961 to 1990, avail-able from the Water Authority Vorarlberg). The mean annualprecipitation is 1836 mm with a maximum in June–Augustand a secondary maximum in December–January. Snow ac-cumulates commonly between November and May.

Hydrogeologically, the investigated catchment can be di-vided into karst and non-karst areas, whose boundary is moreor less marked by the Schwarzwasser river. The karst area ischaracterized by the highly permeable Schrattenkalk lime-stone formation (with about 100 m thickness), which is un-

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3809

Figure 1. (a) Location of the study area, (b) digital elevation model with grid size 100 m× 100 m for the studied catchment and its surround-ing area with weather stations used for the interpolation of meteorological parameters and (c) model configuration (modified from Chen andGoldscheider, 2014).

derlain by marl formations. The underground flow paths inthe karst system are controlled by local folds and followplunging synclines. The karst aquifer discharges at threemajor system outlets: a permanent spring (QS), a largebut intermittent overflow spring (QA) and a cave that actsas overflow spring during high-flow conditions, but trans-forms into a swallow hole during low-flow conditions, a so-called estavelle (QE). The adjacent non-karst area consists oflow-permeability Flysch formations and drains via surfacestreams. Several quantitative multi-tracer tests (Goldschei-der, 2005; Göppert and Goldscheider, 2008; Sinreich et al.,2002) revealed two parallel drainage systems in this valley: asurface stream and a continuous underground karst drainagesystem along the valley axis, which are hydraulically con-nected via the estavelle and by diffuse seepage further up-stream.

3 Methodology

3.1 Setup of the catchment model

The numerical model tested and evaluated in this manuscriptis an improved version of the model introduced in the study

by Chen and Goldscheider (2014), which in turn has been de-rived from the distributed hydrologic–hydraulic water qual-ity simulation model – the Storm Water Management Model(SWMM, version 5.0), described in Rossman (2010). Thehydrological conceptual model was developed mainly basedon the geologic study by Wagner (1950), the speleologicalinvestigation by the regional caving club (Höhlenverein Son-thofen, 2006) and numerous tracer tests and hydrogeologicalfield observations by Goldscheider (2005). Additional tracerexperiments by Göppert and Goldscheider (2008) and Sinre-ich et al. (2002) improved this conceptual model. The currentcatchment model is constructed by using a combined lumpedand distributed modeling approach. Basically, the lumpedmodel represents water storage and drainage in the soil andepikarst. The distributed model represents the undergroundkarst drainage network in the karst area, and the network ofsurface streams in the non-karst area; these linear structuresdrain the flow generated from the lumped model. Comparedto the earlier catchment model by Chen and Goldscheider(2014), new developments are (1) the updated model adoptsthe HBV-snow routine and is able to simulate snow storageand snowmelt and their influence on groundwater rechargeprocesses (described in Sect. 3.3). (2) The earlier model con-siders baseflow (slow flow) as a constant value, which is in-

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3810 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

Figure 2. (a) Model concept for the subcatchments in the non-karst area and (b) model concept for the subcatchments in the karst area.

sufficient for long-term climate-change impact predictions;in the updated model, we applied the linear reservoir ap-proach by Hartmann et al. (2011) to simulate transient slow-flow components, depending on groundwater recharge andrecession coefficient. (3) The laterally adjacent and hydro-geologically connected non-karst area is included in the cur-rent model domain; the updated model is able to simulatevariable infiltration of surface runoff from the non-karst areainto the underground karst drainage network. (4) In the up-dated model, the spatial discretization of the catchment areais much finer by using the elevation bands approach, whichallows for a better representation of the spatial variability inmeteorological variables.

Due to the new developments, the current model is ableto simultaneously simulate all system outlets for a completehydrological year, including periods of snow accumulation,snowmelt and rainfall; additionally, the current model is ableto reproduce system discharge behavior during drought pe-riods, as the system baseflow was implemented as a func-tion of groundwater recharge and recession coefficient. Inthis study, the simulation started in late autumn (November2013), during very low-flow condition. The discharge of QSduring this time consists of slow-flow components from thekarst aquifer. This hydrologic state was used to define theinitial model condition. In total, 76 model parameters (Sup-plement) are considered for the model setup: (1) model pa-rameters x1–x20 define the main hydrological processes ofthe unsaturated zone in the individual karst subcatchmentsand the top layer of the low-permeability Flysch rocks, (2)model parameters x21–x76 describe the geometry and hy-draulic properties of the karst drainage conduit network aswell as surface stream channels in the non-karst area.

3.2 Monitoring network and data availability

Four observation locations in the studied catchment wereconsidered here: (1) QS at 1035 m a.s.l. in the valley, (2) QAat 1080 m a.s.l., (3) QE at 1120 m a.s.l. and (4) a gauging sta-tion (SR) at 1122 m a.s.l. quantifying the surface runoff fromthe upper part of Schwarzwasser valley. Hourly-measureddischarges at the above-mentioned monitoring stations areused, whereas the measurements for QS and QA are avail-able from November 2013 to October 2014 and for QE andSR only from July to October 2014. For the same period, weinterpolated the meteorological data (hourly precipitation, airtemperature and relative humidity) from nine weather sta-tions (Fig. 1b) across the study catchment at a 100 m× 100 mgrid resolution using combined inverse distance weightingand linear regression gridding. Mean areal precipitation andpotential evapotranspiration for individual subunits are de-termined based on the interpolated meteorological data, inwhich hourly potential evapotranspiration is estimated us-ing a modified Turc–Ivanov approach after Wendling andMüller (1984), described in Conradt et al. (2013).

3.3 Modeling snow accumulation and melting

We applied the HBV-snow routine for simulating snow accu-mulation and melt. The HBV model is described in variousarticles, e.g., Bergström (1975, 1995), Kollat et al. (2012)and Seibert (2000). We further modified the calculation ofsnowmelt using the approach proposed by Hock (1999), tosimulate more realistic hourly-varying snowmelt in moun-tainous catchments:

M =

{(MF+α× I )× (t − Ts), t > Ts0, t ≤ Ts

(1)

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3811

Figure 3. Strategy for the multi-step model calibration, where LF, MF and HF are for low-, medium- and high-flow conditions, respectively.

where M is snowmelt (mm h−1), MF is melt factor(mm h−1 ◦C−1), α is radiation coefficient, I is potentialclear-sky direct solar radiation at surface (W m−2), t is mea-sured hourly air temperature (◦C) and Ts is threshold temper-ature (◦C) for snow melting. The melt factor and the radiationcoefficient are empirical coefficients and can be estimated bymodel calibration. The distributed potential clear-sky directsolar radiation is dependent on surface topography and calcu-lated with 100 m× 100 m grid resolution for the investigatedarea using the approach developed by Kumar et al. (1997)and a digital elevation model for the study area.

3.4 Model calibration

3.4.1 Model optimization

We used the DiffeRential Evolution Adaptive Metropolis(DREAM) by Vrugt (2016) to calibrate the model. The si-multaneous minimization of the sum of the squared errors(SSE) of multiple observed time series was applied to con-strain the model parameter space (described in Sect. 3.4.2),which was defined based on our previous experience in thestudy region (Chen and Goldscheider, 2014; Chen et al.,2017). The DREAM algorithm allows an initial populationof parameter sets to converge to a stationary sample.

3.4.2 Calibration strategy

In a previous comprehensive sensitivity analysis we demon-strated that the controlling parameters exhibit varying sensi-tivity for different hydrodynamic conditions and for differentspatially distributed model outlets (Chen et al., 2017). Basedon this information, we outlined four steps to calibrate themodel using different hydrodynamic system conditions andthe observed time series for different outlets. Additionally, toexplicitly consider or completely remove the snow dynamicduring calibration, we divided the whole simulation period

into a snow period (November 2013–June 2014) and a rain-fall period (June 2014–October 2014). There was no snowcover anywhere in the catchment during the rainfall period.

The multi-step calibration procedure applied here is il-lustrated in Fig. 3. In step 1, we used the rainfall periodto constrain the model parameters of the unsaturated zoneand the drainage network during medium and high flows.The different hydrodynamic conditions are defined using theexceedance probability of the observed discharge at QS. Instep 2, we used the snow period to constrain the parametersof snow storage during medium and high flows, whereas inthe observation data the snow accumulation and melting dy-namics in the catchment are clearly reflected. The time seriesof QS and QA are used for this calibration step. In step 3,we focused on the low flows in the same simulation periodas during step 2 to further constrain the parameters of stor-age in snow, unsaturated zone and drainage network usingthe observation data of QS and QA. In step 4, the ranges ofthe previous parameters were constrained continuously usingall flow conditions and observation time series from all fouroutlets.

The error function used in DREAM is the SSE values de-fined in individual calibration steps (Eq. 3 for step 1 and 4;Eq. 4 for step 2 and 3):

SSE=∑N

t=1

(Qt,o−Qt,s

)2, (2)

where Qt,o is the observed discharge at time step t , Qt,s isthe simulated discharge at time step t and N is the number ofmeasurements in the selected time series.

SSEObjective1 = SSEQS+SSEQA+SSEQE+SSESR (3)SSEObjective2 = SSEQS+SSEQA (4)

For each calibration step, 5000 parameter sets were gener-ated using Latin hypercube sampling within the defined prior

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3812 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

Table 1. (a) The median (q0.5) and the confidence intervals (q0.025 and q0.975) of the probabilistic precipitation scenarios for years 2030,2050 and 2070 are explicitly given as percentage change (compared to 1990) and applied for the analysis described in Sect. 3.6. The scenariosare based on Frei (2004). (b) The median (q0.5) and the confidence intervals (q0.025 and q0.975) of the probabilistic temperature scenariosfor years 2030, 2050 and 2070 are explicitly given as absolute change (compared to 1990) and applied for the analysis described in Sect. 3.6.The scenarios are based on Frei (2004).

(a) Precipitation scenario (%)

Season 2030 2050 2070

q0.025 q0.5 q0.975 q0.025 q0.5 q0.975 q0.025 q0.5 q0.975

Dec/Jan/Feb −1 +4 +11 −1 +8 +21 −1 +11 +30Mar/Apr/May −6 0 +5 −11 −1 +10 −15 −1 +13Jun/Jul/Aug −18 −9 −3 31 −17 −7 −41 −23 −9Sep/Oct/Nov −8 −3 0 −14 −6 −1 −20 −9 −1

(b) Temperature scenario (◦C)

Season 2030 2050 2070

q0.025 q0.5 q0.975 q0.025 q0.5 q0.975 q0.025 q0.5 q0.975

Dec/Jan/Feb +0.4 +1 +1.8 +0.9 +1.8 +3.4 +1.2 +2.6 +4.7Mar/Apr/May +0.4 +0.9 +1.8 +0.8 +1.8 +3.3 +1.1 +2.5 +4.8Jun/Jul/Aug +0.6 +1.4 +2.6 +1.4 +2.7 +4.7 +1.9 +3.8 +7Sep/Oct/Nov +0.5 +1.1 +1.8 +1.1 +2.1 +3.5 +1.7 +3 +5.2

Figure 4. Observed and simulated discharge of four spatially distributed model outlets QS, QA, QE and SR using the best calibrated modelparameter set for the period November 2013–October 2014. Additionally, the mean catchment precipitation and temperature for the sameperiod are shown.

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3813

parameter ranges. The last 1000 parameter sets of the con-verged sample in each calibration step are used to representthe posterior distribution of “best” parameter sets. Posteriorparameter bounds are determined using the 95 % confidenceinterval for these 1000 parameter sets. The parameter boundsof a previous step were adopted as a-priori parameter boundsfor the subsequent calibration step.

3.5 Estimation of water storage

To understand water storage processes within the catchment,we estimated the temporary water storage volumes for theentire catchment (Eq. 5), karst area (Eq. 6) and non-karst area(Eq. 7):

St,catchment = St0,karstaquifer+

t∑t0

(Pt,catchment−ETt,catchment

−Qt,catchment), (5)

St,karst = St0,karstaquifer+

t∑t0

(Pt,karst+Rt,allogenic

−ETt,karst−Qt,karst), (6)

St,nonkarst =

t∑t0

(Pt,nonkarst−Rt,allogenic−ETt,nonkarst

−Qt,nonkarst). (7)

Surface runoff from the non-karst area can infiltrate into theunderground karst drainage network through the conduitsC34–C38 constructed in the upper part of the valley (Fig. 1c).This flow is considered as allogenic recharge into the karstaquifer and was taken into account for the storage calculationfor the karst and non-karst areas. Additionally we simulatedthe temporary subsurface water storage volume for the karstaquifer (Eq. 8):

St,karstaquifer = St0,karstaquifer+

t∑t0

(Rt,autogenic+Rt,allogenic

−Qt,karst), (8)

where St , Pt , ETt , Rt and Qt are the storage, precipitation,evapotranspiration, recharge and discharge in volume at timestep t (t0 is first simulation time step). The simulated tempo-rary storage volumes for the whole catchment (St,catchment),karst area (St,karst), non-karst area (St,nonkarst) and karstaquifer (St,karstaquifer) are the absolute volumes, whereas thestorage for the karst aquifer (St,karstaquifer) only describes theground water storage in the karst aquifer. The calculation ofthe initial water storage volume in the karst aquifer is basedon the approach introduced by Bonacci (1993):

St0,karstaquifer = k×Qt0,karstaquifer, (9)

where Qt0,karstaquifer is the discharge from the karst aquiferat the first simulation time step and k is the recession coef-

ficient, which can be derived by analyzing the karst springdischarge hydrograph during low-flow conditions.

3.6 Climate-change projections

The focus of this analysis is to quantify the impact of varyingclimate conditions on the water fluxes and storages through-out the model domain and to identify the hydrological pro-cesses most sensitive to potential climate change within thestudy catchment. We chose the probabilistic scenarios of pre-cipitation and temperature by Frei (2004) for the northernAlps as the basis for our study. The median values (q0.5) andthe confidence intervals (q0.025 to q0.975) of the probabilis-tic scenarios for years 2030, 2050 and 2070 were derived inFrei (2004) and given in Table 1. We used a delta approach toproject the potential climate-change scenarios in the investi-gated catchment by changing precipitation and temperaturetime series for the pre-defined months (December–February,March–May, June–August and September–November) by agiven delta (percentage or value). For the analysis, we firstfocused on the median climate scenarios of years 2030, 2050and 2070 (described in Sect. 4.3.1) to better understand thegeneral trend of the climate-change projections. In the sec-ond part of the analysis, we considered the uncertainty inthe climate scenario for 2070 and estimated its impact onthe simulated water fluxes and storages across the modeldomain (described in Sect. 4.3.2). To consider the climate-change scenario uncertainty, 1000 uniformly distributed ran-dom samples within the defined confidence intervals for thedeltas of precipitation and temperature are used.

4 Results

4.1 Model performance

Figure 4 shows the simulated karst spring discharges as wellas the surface runoff generated from the non-karst area of thefinal calibrated model. The transient and highly variable dis-charge behavior at the four spatially distributed model out-lets is simultaneously simulated at an hourly time step. Thequality of the model simulation is demonstrated by two dif-ferent statistical criteria, the RMSE and the Nash–Sutcliffecoefficient (NSC): RMSE values are 0.118 m3 s−1 for QS,0.448 m3 s−1 for QA, 0.419 m3 s−1 for QE and 0.248 m3 s−1

for SR. NSC values are 0.71 for QS, 0.80 for QA, 0.74 forQE and 0.66 for SR. However, only one complete hydrolog-ical year of data can be obtained in the test site and used forthis study. To better evaluate the model, we performed a split-sample test with the existing data (Supplement) that showedthat we can obtain stable model parameterization and predic-tion with this relatively short observation period.

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3814 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

Figure 5. Estimated cumulative volumes of precipitation, evapotranspiration, recharge and discharge for the studied catchment for the periodNovember 2013–October 2014 on an hourly time step in million cubic meters (MCM).

4.2 Estimated water fluxes and storages

For a simulation period of about 330 days, we estimatedthat about 5 % of the total precipitation (52.79 MCM1) leftthe catchment as evapotranspiration (2.39 MCM) (Fig. 5).Furthermore, we calculated that about 84 % of the recharge(44.02 MCM) to the karst aquifer is contributed by diffuseinfiltration (36.78 MCM) over the karst area. The remain-ing 16 % of the recharge is contributed by the allogenicrecharge (7.24 MCM); i.e., direct infiltration of the surfacerunoff from the non-karst area into the underground karstdrainage network in the upper part of the valley. The catch-ment is mainly drained by the karst springs. About 20 % ofthe total catchment discharge (49.41 MCM) is provided byQS (10.09 MCM), 44 % by QA (21.81 MCM), 23 % by QE(11.29 MCM) and 13 % by the surface runoff (6.23 MCM).

We compared the estimated water storages for the wholecatchment, karst area, non-karst area and karst aquifer to bet-ter understand different storage processes (snow storage, soilwater storage and subsurface water storage) in the model do-main (Fig. 6). It is considered that in the simulated winterand early spring (November 2013–March 2014), the catch-ment water storage dynamics are mainly characterized bysnow storage change in both the karst and non-karst areas.Afterwards, snowmelt (April–May 2014) led to rapidly de-creasing catchment snow storage, but increasing storage in

1MCM for million cubic meters

the karst aquifer as subsurface water in both fast and slowpaths. During the rainfall season in the simulated summerand autumn (June–October 2014), the catchment storage ismainly characterized by subsurface water storage in the karstaquifer, while during medium and high flows the water is alsostored intermittently in the top layer of the non-karst area.

4.3 Assessing the impact of climate change

An overview of the change in water fluxes and storages underchanging climate conditions (median climate scenarios anduncertainty in the climate scenario 2070) is given in Table 2.

4.3.1 Median climate scenarios

The simulations (Figs. 7–9) show that the water fluxes andstorages are sensitive to varying climate conditions. Com-pared to the current situation, the precipitation over the catch-ment area is gradually decreasing (medians of −4.2, −8.2and −11.0 %) for the climate scenarios of years 2030, 2050and 2070, respectively, based on Frei (2004), whereas theevapotranspiration is increasing (medians of +5.5, +11.4and +16.0 %). The modeled precipitation, temperature andevapotranspiration for future simulations contribute to thedecreased recharge (medians of −4.4, −8.8 and −12.0 %)to the karst aquifer, whereas the recharge pattern is shifted,i.e., the recharge is increasing in winter and spring and de-creasing in summer and autumn (Fig. 7).

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3815

Table 2. (a) Estimated total volume of precipitation (P ), evapotranspiration (ET), recharge (R) and discharge (Q) under varied climateconditions (median climate scenarios of years 2030, 2050 and 2070 as well as the uncertainty in the climate scenario of 2070) for thesimulated time period of 330 days and their units are MCM. (b) Estimated temporary water storage volumes (S) for the whole catchment,karst area, non-karst area and karst aquifer at time step of 2665 (March) and 7896 (October) under varied climate conditions (median climatescenarios of years 2030, 2050 and 2070 as well as the uncertainty in the climate scenario of 2070) and their units are MCM.

(a) Climate condition P ET R Q

Catchment Catchment Catchment Catchment

current 52.79 2.39 44.02 49.412030 50.58 2.52 42.08 47.322050 48.48 2.66 40.15 45.332070 46.97 2.77 38.76 43.912070 max 53.15 3.34 43.74 49.332070 min 38.87 2.35 32.10 36.80

Q

QS QA QE SR

current 10.09 21.81 11.29 6.232030 9.88 21.35 10.26 5.832050 9.69 20.99 9.14 5.512070 9.56 20.89 8.17 5.282070 max 10.15 23.96 10.09 6.042070 min 8.80 17.70 5.27 4.28

(b) Climate condition S

At time step of 2665 (March)

Whole catchment Karst area Non-karst area Karst aquifer

current 10.87 8.66 2.21 2.892030 10.63 8.49 2.15 2.972050 10.03 8.07 1.96 3.092070 8.89 7.20 1.69 3.292070 max 9.95 7.99 1.97 4.252070 min 4.86 4.57 0.28 2.99

S

At time step of 7896 (October)

Whole catchment Karst area Non-karst area Karst aquifer

current 5.66 5.50 0.16 5.502030 5.40 5.25 0.15 5.252050 5.15 5.00 0.15 5.002070 4.96 4.81 0.15 4.812070 max 5.34 5.19 0.15 5.192070 min 4.38 4.24 0.14 4.24

Furthermore, the catchment water storage pattern changessignificantly, especially during the normally “cold” pe-riod (from January to April). Under the current conditions,7.74 MCM of water is stored in snow at the end of March,whereas at the same time, only 3.79 MCM as snow storageis estimated there under the conditions of 2070 (Fig. 8). Thisindicates that the simulated future climate conditions affectthe snow storage massively. Comparatively, the catchmentwater storage during the rainfall season is much less influ-

enced. For the karst aquifer, the shift of recharge pattern to-wards increased recharge in winter and spring, and decreasedrecharge in summer and autumn produces compensation, i.e.,the annualized balance between recharge and discharge forthe karst aquifer is constant for the simulations of years 2030,2050 and 2070. Furthermore, the influence of the varied cli-mate conditions on the intermediate water storage in the karstaquifer (epikarst and fast-flow path) and top layer of the non-karst area are limited.

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3816 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

Figure 6. Estimated temporary water storage volumes for the whole catchment, karst area, non-karst area and karst aquifer for the periodNovember 2013–October 2014 on an hourly time step in million cubic meters (MCM).

Figure 7. Impacts of the median climate scenarios (q0.5) for years 2030, 2050 and 2070 as well as the uncertain climate scenarios (1000random sampled combinations) for 2070 on the simulated precipitation, evapotranspiration, recharge and discharge for the studied catchment.

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3817

Our simulations (Fig. 9) show that the catchment dischargeamount varies under changing climate conditions. The to-tal discharge of QE is decreasing gradually (medians of 9.1,−19.0 and −27.6 %) for years 2030, 2050 and 2070, com-pared to the current situation. However, the deficit for QA(medians of −2.1, −3.8 and −4.2 %) and QS (medians of−2.0, −3.9 and −5.2 %) is less significant. For the totalsurface runoff generated from the non-karst area, climate-change effects are clearly perceptible with the total runoffdecreasing (medians of −6.4, −11.4 and −15.1 %) for years2030, 2050 and 2070. Also, the catchment discharge patternis influenced significantly. The simulated increasingly warm-ing winters and springs from 2030 to 2070 shift the dischargepattern of QA, QE and surface runoff continuously, while thedischarge pattern of QS is quite stable until 2070.

4.3.2 Uncertainty in the climate scenario 2070

The results show (Fig. 7) that the impacts of the possibleclimate scenarios for 2070 on the precipitation, evapotran-spiration, recharge and catchment discharge are uncertain.Compared to the current situation, a general trend with thedecrease in precipitation, recharge and catchment dischargeor with the increase in evapotranspiration can be expected.In the most extreme cases, the change of precipitation variesbetween −26.4 and 0.7 %, evapotranspiration between −1.8and 39.6 %, recharge to the karst aquifer between −27.1and −0.6 % and catchment discharge between −25.5 and−0.2 %, compared to the current situation. Furthermore, thescenario runs indicate a shift of evapotranspiration, rechargeand catchment discharge pattern towards increased rechargeas well as catchment discharge in winter and spring and con-stantly increased evapotranspiration throughout the year.

Moreover, the scenario runs indicate a clear trend withthe decrease in water storages for the simulated catchment(Fig. 8). Under the condition “extremely warm” of 2070, thesnow storage of the catchment changes so dramatically thatalmost no water can be stored in snow during the normally“cold” period (from December to April). Simultaneously, thewater storage pattern in the karst aquifer can be significantlyshifted due to the earlier-starting snowmelt. Also, the waterstorage in the karst aquifer in summer and autumn are influ-enced strongly due to the significantly decreased recharge.This contributes to a clearly negative “balance” at the lasttime step of the simulation under the “extremely dry” condi-tions of 2070. If this negative water storage could be trans-ferred to the coming year, it would cause more negative “bal-ance” for the simulated karst aquifer based on the simulatedclimate conditions. Accordingly, the stored water resource inthe karst aquifer would be decreased significantly.

Regarding the impacts of the uncertain scenarios on thekarst spring discharges and surface runoff, distinct trends areidentified (Fig. 9): (1) a clear trend with the decrease in QEand SR, (2) impacts on QA are highly uncertain even an in-crease in its total discharge is projected and (3) impacts on

Figure 8. Impacts of the median climate scenarios (q0.5) for years2030, 2050 and 2070 as well as the uncertain climate scenarios(1000 random sampled combinations) for 2070 on (a) the simulatedwater storage of the whole catchment, (b) the simulated snow stor-age of the whole catchment, (c) the simulated water storage of thekarst area, (d) the simulated snow storage of the karst area, (e) thesimulated water storage of the karst aquifer, (f) the simulated waterstorage of the non-karst area and (g) the simulated snow storage ofthe non-karst area.

QS are clearly less uncertain and a general trend with de-crease in QS can be expected. In the most extreme cases,compared to the current situation, the change of QS variesbetween −25.5 and 0.7 %, QA between −18.8 and 9.9 %,QE between −53.3 and −10.6 % and surface runoff between−31.3 and −2.9 %. QS discharge is considered as the most“robust” in the face of strongly varied climate conditions.Furthermore, a common shift of the discharge pattern of allkarst springs and the surface runoff pattern are identified, i.e.,increased QS, QA, QE and SR in winter and early spring.

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3818 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

Figure 9. Impacts of the median climate scenarios (q0.5) for years 2030, 2050 and 2070 as well as the uncertain climate scenarios (1000random sampled combinations) for 2070 on the simulated discharge of QS, QA, QE and surface runoff from the non-karst area.

5 Discussion

5.1 Realism of the model simulations

In this study, the karst catchment model simultaneously sim-ulates the transient and highly variable discharge behavior atthe four model outlets. The model evaluation using differentapproaches indicates that the results are satisfying (describedin Sect. 4.1). The previous studies have demonstrated thatthe model adequately represents the hydraulic processes ob-served in the karst aquifer and is able to transform them intorealistic catchment responses during rainfall periods (Chenand Goldscheider, 2014; Chen et al., 2017). The currentmodel represents the dominant flow process for the inves-tigated karst catchment during low-flow conditions. Duringthe snow accumulation period (November 2013–February2014), the karst system was undersaturated, and QS dis-charged the whole catchment, while other karst springs (QAand QE) were dry and no significant surface runoff generatedfrom the non-karst area. The simulation is consistent with ourmeasurements and field observations. Furthermore, the cur-rent study shows that the snow dynamic reflected in the majorkarst springs (QS and QA) is reproduced in the model. It in-dicates that the model represents the recharge process drivenby the snow accumulation and melting in the studied karstcatchment. However, no snow observations to validate theaccuracy of simulated snow accumulation and melting areavailable. For this reason, we developed the multi-step cal-

ibration procedure to achieve an efficient calibration of thesnow model (described in Sect. 3.4.2). To more realisticallysimulate snowmelt and its spatial pattern in complex moun-tainous topography, we applied the extended snowmelt equa-tion from Hock (1999) that considers the distributed potentialclear-sky direct solar radiation, which is calculated based ona digital elevation model for the study area with 100 m reso-lution. Warscher et al. (2013) pointed out that the HBV ap-proach is too simple for modeling distributed complex snowdynamics in mountainous environments, but it is the best es-timation that we can obtain due to the lack of data. Therefore,the results concerning the simulated snow storage are associ-ated with uncertainty and should be interpreted carefully.

We find that the surface runoff generated from the non-karst area is much less than the effective precipitation forthe non-karst area. The reason is that the allogenic rechargeleads to significant loss. This model behavior represents theconceptualization of our understanding about the hydraulicconnection between the karst and non-karst areas. However,the model evaluation shows that the model underestimatedthe surface runoff generated from the non-karst area in re-sponse to heavy rainfall events (Fig. 4). This could be ex-plained by an oversimplification of the complex hydrologicalsituation in the non-karst area under-representing its runoffdynamics. Furthermore, the estimated low evapotranspira-tion (and very high recharge rates) for the investigated catch-ment appears unusual. Very high recharge rates in mountain-ous karst areas, ranging between 60 and 90 %, are also re-

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3819

ported in the literature (e.g., Malard et al., 2016). In Alpineregions, low temperatures and high precipitation favor lowevapotranspiration. In the elevated parts of our test site, soiland vegetation are almost entirely missing, and the limestoneis extremely karstified, so that water infiltrates directly intoopen fractures. Hence, the high recharge rates are in accor-dance with our previous hydrogeological conceptual model,which is based on detailed field investigations, including 18tracer tests (Goldscheider, 2005; Göppert and Goldscheider,2008; Sinreich et al., 2002). The overall size of the karstsystem, the catchment areas of the individual springs andthe general configuration of the underground drainage net-work are well-known. Yet, our quantification of recharge isstill associated with uncertainties. Possible reasons includethe following: (1) the interpolation of precipitation is uncer-tain. Most weather stations used for interpolation are locatedoutside the study area, at lower elevations. Uncertainty de-pends on the density of observation points and the interpo-lation method (e.g., Ohmer et al., 2017). Increase in pre-cipitation with elevation should also be taken into account.(2) Discharge quantities during very high-flow conditions arealso uncertain. Water stages were continuously measured atall gauging stations, and numerous flow measurements (salt-dilution method) were performed to establish rating curves,which were used to obtain continuous hydrographs for allsystem outlets. However, most flow measurements were doneduring low- to moderately high-flow conditions, and the rat-ing curves had to be extrapolated for very high flows. There-fore, substantial uncertainties have to be expected for veryhigh-flow conditions (e.g., Baldassarre and Montanari, 2009;Coxon et al., 2015). (3) Another source of uncertainty is thatsublimation from snow was not taken into account in the cur-rent model. However, some studies suggest that snow evap-oration can be significant in some high-elevation catchments(e.g., Leydecker and Melack, 2000).

5.2 Hydrological process sensitivities

It is well known that long-term trends of karst aquifer dy-namics (e.g., spring discharge, groundwater level) are af-fected mainly by regional precipitation patterns (e.g., Maet al., 2004; Hao et al., 2006; Jia et al., 2017; Hartmann etal., 2012). In comparison to these earlier studies, our cur-rent study shows significant short-term aquifer responsesto changes in hydro-meteorological conditions. The simu-lations demonstrate that the seasonal discharge pattern iscontrolled by the temporal distribution of precipitation onthe one hand, and by the temperature pattern on the otherhand. The snow storage in the catchment is highly sensitiveto temperature variations, which can shift the seasonal pat-terns of snowmelt and aquifer recharge. A similar rechargepattern that strongly depends on seasonal snow accumula-tion and melting has been observed in other Alpine karst sys-tems (Finger et al., 2013; Gremaud, 2011). Previous studiessuggest decreasing spring discharge with increasing temper-

atures, as a result of increased evapotranspiration (e.g., Loái-ciga et al., 1999). Our findings suggest that the extremelyhigh recharge rates in our studied karst system will reducethe impact of rising temperatures on aquifer dynamics.

For the studied karst aquifer, due to its characteristic du-ality of flow and storage and additional spatially heteroge-neous distributed drainage structure, the impacts of the var-ied climate conditions on QS, QA and QE are distinct. Thesimulations demonstrate well that QE is highly sensitive tochanging climate conditions. The explanation is that QE actsas the highest overflow outlet of the studied karst aquifer,and its activation is strongly controlled by the hydrodynamicconditions in the karst drainage network, which are in turnhighly sensitive to recharge and fast-flow processes. In con-trast, QS is the lowest outlet for the karst aquifer and itsdischarge is “guaranteed” by the long-term water storage inmatrix. Accordingly, QS is the most “robust” in the face ofchanging climate conditions. Under the simulated climatescenarios, QA shows a mixed character. On the one hand,the QA discharge is significantly less influenced than QE;and on the other hand, QA’s discharge pattern can be moreeasily shifted than QS. It demonstrates well that the highpermeability flow in the conduit network with less water-storage capacity is sensitive to changing hydrological con-ditions, while the low-permeability flow in the matrix withgreater water-storage capacity is more resistant. In the non-karst area, the varied climate conditions affect the snow ac-cumulation and melting patterns. As the non-karst and karstareas are hydraulically connected in the upper part of thevalley, the predicted earlier-starting snowmelt can generatemore runoff in the non-karst area which partly infiltrates intothe underground drainage network leading to greater loss forthe surface runoff and increased allogenic recharge to thekarst aquifer.

For the current analysis, we used a pragmatic approachto analyze potential climate-change scenarios. The uncer-tainties in the climate scenarios were considered based ona random sampling approach. The final results indicate theimpacts of the seasonal changes in the pattern of precipita-tion and temperature on the spatially varied hydrological pro-cesses within the catchment. Additionally, we investigatedthe flow exceedance probability of karst springs and surfacerunoff from the non-karst area (Supplement) and find that thesimulated climate conditions affect the frequency and ampli-tude of catchment flows. This suggests that the impacts of thetemporally stochastic distributions of meteorological param-eters and their variability on the catchment flow dynamicsshould be systematically investigated.

6 Conclusions

The current work presents an investigation of the waterfluxes and storages in a high-elevation Alpine catchment.We extended the existing karst catchment model developed

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3820 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

by Chen and Goldscheider (2014) to consider spatially dis-tributed snow dynamics and complex surface and subsurfaceheterogeneous drainage structures. The new model is ableto simultaneously simulate the transient and highly variabledischarge behavior of four spatially distributed model out-lets at an hourly time step. Furthermore, we estimated thewater fluxes and storages within the model domain. The re-sults demonstrate that the spatiotemporal distribution of wa-ter fluxes and storages is controlled by the surface and sub-surface hydrological setting. We find a large portion of pre-cipitation infiltrates in the karst aquifer as autogenic rechargeand contributes to surface runoff in the adjacent non-karstarea, which can partly infiltrate into the karst aquifer as al-logenic point recharge. In the simulation period, the catch-ment is mainly drained by the karst springs, about 20 % ofthe total catchment discharge is provided by the permanentspring QS, 44 % by the overflow spring QA, 23 % by the es-tavelle QE and 13 % by the surface runoff SR generated fromthe non-karst area. In the simulated winter and early spring(November 2013–March 2014), the catchment water storageis mainly characterized by the snow storage both in the karstand non-karst areas. During the rainfall season in the simu-lated summer and autumn (June–October 2014), the catch-ment storage is mainly characterized by the subsurface waterstorage in the karst aquifer.

Additionally, we studied the impacts of potential climate-change patterns on the spatially varied surface and subsur-face hydrological processes in the model using a delta ap-proach combined with a random sampling technique. Thescenario runs demonstrate that the varied climate condi-tions affect the spatiotemporal distribution of water fluxesand storages within the catchment significantly: (1) the to-tal catchment discharge decreases under all evaluated futureclimate conditions. (2) The catchment snow storage duringthe normally cold period from December to April decreasessignificantly, while the autogenic and allogenic recharge tothe karst aquifer increase. (3) In the karst aquifer, due toits storage capacity, the shift of the recharge pattern to-wards increased recharge in winter and spring, and decreasedrecharge in summer and autumn offset each other under thevaried climate conditions. (4) The impacts of the potential fu-ture climate conditions on the karst springs are distinct. Thelowest permanent spring presents a “robust” discharge be-havior, while the highest overflow outlet is highly sensitive tochanging climatic conditions. This finding demonstrates thatclimate change impacts on karst springs do not only dependon the hydraulic characteristics of the aquifer system but alsoon the topographic position of the individual springs.

As our climate scenario projections use a simple delta ap-proach, the impact of temporally stochastic distributions ofmeteorological parameters and their variability could not beinvestigated in this study. Accordingly, the results shouldonly be applied to understand the relationship between thehydrological processes within the studied catchment and po-tential climate change patterns. It would be interesting to

use more realistic data, i.e., the precipitation and tempera-ture time series downscaled from regional climate models,to investigate their impact on the spatially distributed waterfluxes and storages. But we warn that the measurements ofmeteorological variables in high-elevation mountainous en-vironment have a quite large uncertainty. These uncertain-ties may have an impact on the model simulations and theunderstanding of derived processes. Nevertheless, there areseveral relevant general conclusions that can be drawn fromthis study. Because of their specific hydraulic characteris-tics, Alpine karst aquifers respond very fast and strong tohydrological events and seasonal variations, including snowaccumulation and melting. The seasonal patterns of precipi-tation and snow regimes are projected to change in a chang-ing climate. Alpine karst systems are especially vulnerable tothese changing hydro-meteorological conditions. However,because of their hydrogeological complexity and hydraulicheterogeneity, every karst system has its individual charac-teristics, and different karst springs respond differently tochanging climatic conditions. Therefore, site-specific inves-tigations are required. The holistic modeling approach pre-sented in our study can be transferred and adapted to otherAlpine karst systems and can be used for studying impactsof climate change on Alpine karst water resources.

Data availability. A part of the hydrological data used to supportthis article were provided by the responsible state authority for wa-ter resource management (Wasserwirtschaftsamt Vorarlberg) andare available upon request (wasserwirtschaft@vorarlberg.at). An-other part of the hydrological data was collected by the Division ofHydrogeology at the Karlsruhe Institute of Technology (KIT) and isavailable from the authors upon request (zhao.chen@kit.edu). Thesimulation data necessary for reproducing the paper’s results arealso available from the authors upon request (zhao.chen@kit.edu).

The Supplement related to this article is availableonline at https://doi.org/10.5194/hess-22-3807-2018-supplement.

Author contributions. ZC developed the method and obtained allresults in consultation with AH, TW and NG. ZC wrote themanuscript. The final manuscript was reviewed by all authors.

Competing interests. The authors declare that they have no conflictof interest.

Acknowledgements. We acknowledge the support of the OpenAccess Publishing Fund of Karlsruhe Institute of Technology(KIT). We thank Clemens Mathis and Ralf Grabher from WaterAuthority Vorarlberg (Austria) for providing data, Laurence Gill(Trinity College Dublin) for inspiring discussion concerning modelsetup, Joël Arnault (KIT) for providing a Matlab routine for the

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3821

interpolation of meteorological parameters and Timothy Bechtel(Franklin & Marshall College) for proofreading the manuscript.We thank two anonymous colleagues and Ronald Green for theirconstructive review comments.

The article processing charges for this open-accesspublication were covered by a ResearchCentre of the Helmholtz Association.

Edited by: Jesús CarreraReviewed by: two anonymous referees

References

Abbaspour, K. C., Yang, J., Maximov, I., Siber, R., Bogner,K., Mieleitner, J., Zobrist, J., and Srinivasan, R.: Mod-elling hydrology and water quality in the pre-alpine/alpineThur watershed using SWAT, J. Hydrol., 333, 413–430,https://doi.org/10.1016/j.jhydrol.2006.09.014, 2007.

Achleitner, S., Rinderer, M., and Kirnbauer, R.: Hydrological mod-eling in alpine catchments: sensing the critical parameters to-wards an efficient model calibration, Water Sci. Technol., 60,1507–1514. https://doi.org/10.2166/wst.2009.488, 2009.

Benischke, R., Harum, T., Reszler, C., Saccon, P., Ortner, G., andRuch, C.: Karstentwässerung im Kaisergebirge (Tirol, Öster-reich) – Abgrenzung hydrographischer Einzugsgebiete durchKombination hydrogeologischer Untersuchungen mit Isotopen-methoden und hydrologischer Modellierung, Grundwasser, 15,43–57, https://doi.org/10.1007/s00767-009-0124-y, 2010.

Bergström, S.: The development of a snow routine for the HBV-2model, Nord. Hydrol., 6, 73–92, 1975.

Bergstrom, S.: The HBV model, in: Computer Models of Water-shed Hydrology, edited by: Singh, V. P., Water Resources Publi-cations: Highlands Ranch, Colorado, USA, 443–476, 1995.

Bonacci, O.: Karst springs hydrographs as indica-tors of karst aquifers, Hydrol. Sci. J., 38, 51–62,https://doi.org/10.1080/02626669309492639, 1993.

Braun, L. N. and Renner, C. B.: Application of a con-ceptual runoff model in different physiographic re-gions of Switzerland, Hydrol. Sci. J., 37, 217–231,https://doi.org/10.1080/02626669209492583, 1992.

Chen, Z. and Goldscheider, N.: Modeling spatially and tem-porally varied hydraulic behavior of a folded karst sys-tem with dominant conduit drainage at catchment scale,Hochifen–Gottesacker, Alps. J. Hydrol., 514, 41–52,https://doi.org/10.1016/j.jhydrol.2014.04.005, 2014.

Chen, Z., Hartmann, A., and Goldscheider, N.: A new approach toevaluate spatiotemporal dynamics of controlling parameters indistributed environmental models, Environ. Modell. Softw., 87,1–16, https://doi.org/10.1016/j.envsoft.2016.10.005, 2017.

Conradt, T., Wechsung, F., and Bronstert, A.: Three perceptionsof the evapotranspiration landscape: comparing spatial patternsfrom a distributed hydrological model, remotely sensed surfacetemperatures, and sub-basin water balances, Hydrol. Earth Syst.Sci., 17, 2947–2966, https://doi.org/10.5194/hess-17-2947-2013,2013.

Coxon, G., Freer, J., Westerberg, I., Wagener, T., Woods, R., andSmith, P.: A novel framework for discharge uncertainty quantifi-

cation applied to 500 UK gauging stations, Water Resour. Res.,51, 5531–5546, https://doi.org/10.1002/2014WR016532, 2015.

Di Baldassarre, G. and Montanari, A.: Uncertainty in river dischargeobservations: a quantitative analysis, Hydrol. Earth Syst. Sci., 13,913–921, https://doi.org/10.5194/hess-13-913-2009, 2009.

Dobler, C., Bürger, G., and Stötter, J.: Assessment of cli-mate change impacts on flood hazard potential in theAlpine Lech watershed, J. Hydrol., 460-461, 29–39,https://doi.org/10.1016/j.jhydrol.2012.06.027, 2012.

Dobler, C., Bürger, G., and Stötter, J.: Simulating future precipi-tation extremes in a complex Alpine catchment, Nat. HazardsEarth Syst. Sci., 13, 263–277, https://doi.org/10.5194/nhess-13-263-2013, 2013.

Finger, D., Hugentobler, A., Huss, M., Voinesco, A., Wernli, H., Fis-cher, D., Weber, E., Jeannin, P.-Y., Kauzlaric, M., Wirz, A., Ven-nemann, T., Hüsler, F., Schädler, B., and Weingartner, R.: Identi-fication of glacial meltwater runoff in a karstic environment andits implication for present and future water availability, Hydrol.Earth Syst. Sci., 17, 3261–3277, https://doi.org/10.5194/hess-17-3261-2013, 2013.

Frei, C.: Die Klimazukunft der Schweiz – Eine probabilistischeProjektion, available at: http://www.occc.ch/Products/CH2050/CH2050-Scenarien.pdf (last access: July 2018), 2004.

Gobiet, A., Kotlarski, S., Beniston, M., Heinrich, G., Rajczak,J., and Stoffel, M.: 21st century climate change in the Euro-pean Alps – a review, Sci. Total Environ., 493, 1138–1151,https://doi.org/10.1016/j.scitotenv.2013.07.050, 2014.

Goldscheider, N.: Fold structure and underground drainage pat-tern in the alpine karst system Hochifen-Gottesacker, EclogaeGeol. Helv., 98, 1–17, https://doi.org/10.1007/s00015-005-1143-z, 2005.

Goldscheider, N.: Alpine Hydrogeologie, Grundwasser, 16, 1 pp.,https://doi.org/10.1007/s00767-010-0157-2, 2011.

Göppert, N. and Goldscheider, N.: Solute and Colloid Trans-port in Karst Conduits under Low- and High-Flow Condi-tions, Ground Water, 46, 61–68, https://doi.org/10.1111/j.1745-6584.2007.00373.x, 2008.

Gremaud, V. and Goldscheider, N.: Climate Change Effects onAquifer Recharge in a Glacierised Karst Aquifer System,Tsanfleuron-Sanetsch, Swiss Alps, in: Advances in Research inKarst Media, edited by: Andreo, B., Carrasco, F., Durán, J. J.,and LaMoreaux, J. W., Springer Berlin Heidelberg, Berlin, Hei-delberg, 31–36, 2010.

Gremaud, V., Goldscheider, N., Savoy, L., Favre, G., and Mas-son, H.: Geological structure, recharge processes and un-derground drainage of a glacierised karst aquifer system,Tsanfleuron-Sanetsch, Swiss Alps, Hydrogeol. J., 17, 1833–1848, https://doi.org/10.1007/s10040-009-0485-4, 2009.

Hao, Y., Yeh, T.-C. J., Gao, Z., Wang, Y., and Zhao, Y.: A graysystem model for studying the response to climatic change:The Liulin karst springs, China, J. Hydrol., 328, 668–676,https://doi.org/10.1016/j.jhydrol.2006.01.022, 2006.

Hartmann, A., Kralik, M., Humer, F., Lange, J., and Weiler, M.:Identification of a karst system’s intrinsic hydrodynamic parame-ters: upscaling from single springs to the whole aquifer, Environ.Earth Sci., 65, 2377–2389, https://doi.org/10.1007/s12665-011-1033-9, 2011.

Hartmann, A., Lange, J., Vivó Aguado, À., Mizyed, N., Smiatek, G.,and Kunstmann, H.: A multi-model approach for improved sim-

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018

3822 Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment

ulations of future water availability at a large Eastern Mediter-ranean karst spring, J. Hydrol., 468–469, 130–138, 2012.

Hock, R.: A distributed temperature-index ice- and snowmelt modelincluding potential direct solar radiation, J. Glaciol., 45, 101–111, https://doi.org/10.1017/S0022143000003087, 1999.

Höhlenverein Sonthofen (Ed.): Das Hölloch im Mahdtal – 100 JahreHöhlenforschung im Kleinwalsertal, Sonthofen, 2006.

Jasper, K., Calanca, P., Gyalistras, D., and Fuhrer, J.: Dif-ferential impacts of climate change on the hydrologyof two alpine river basins, Clim. Res., 26, 113–129,https://doi.org/10.3354/cr026113, 2004.

Jia, Z., Zang, H., Zheng, X., and Xu, Y.: Climate Changeand Its Influence on the Karst Groundwater Recharge inthe Jinci Spring Region, Northern China, Water, 9, 267,https://doi.org/10.3390/w9040267, 2017.

Junghans, N., Cullmann, J., and Huss, M.: Evaluating the effect ofsnow and ice melt in an Alpine headwater catchment and furtherdownstream in the River Rhine, Hydrol. Sci. J., 56, 981–993,https://doi.org/10.1080/02626667.2011.595372, 2011.

Kollat, J. B., Reed, P. M., and Wagener, T.: When aremultiobjective calibration trade-offs in hydrologic mod-els meaningful?, Water Resour. Res., 48, W03520,https://doi.org/10.1029/2011WR011534, 2012.

Kraller, G., Warscher, M., Kunstmann, H., Vogl, S., Marke, T., andStrasser, U.: Water balance estimation in high Alpine terrain bycombining distributed modeling and a neural network approach(Berchtesgaden Alps, Germany), Hydrol. Earth Syst. Sci., 16,1969–1990, https://doi.org/10.5194/hess-16-1969-2012, 2012.

Kumar, L., Skidmore, A. K., and Knowles, E.: Mod-elling topographic variation in solar radiation in aGIS environment, Int. J. Geogr. Inf. Sci., 11, 475–497,https://doi.org/10.1080/136588197242266, 1997.

Kunstmann, H. and Stadler, C.: High resolution dis-tributed atmospheric-hydrological modelling forAlpine catchments, J. Hydrol., 314, 105–124,https://doi.org/10.1016/j.jhydrol.2005.03.033, 2005.

Kunstmann, H., Schneider, K., Forkel, R., and Knoche, R.:Impact analysis of climate change for an Alpine catchmentusing high resolution dynamic downscaling of ECHAM4time slices, Hydrol. Earth Syst. Sci., 8, 1031–1045,https://doi.org/10.5194/hess-8-1031-2004, 2004.

Kunstmann, H., Krause, J., and Mayr, S.: Inverse distributed hydro-logical modelling of Alpine catchments, Hydrol. Earth Syst. Sci.,10, 395–412, https://doi.org/10.5194/hess-10-395-2006, 2006.

Lauber, U. and Goldscheider, N.: Use of artificial and natural tracersto assess groundwater transit-time distribution and flow systemsin a high-alpine karst system (Wetterstein Mountains, Germany),Hydrogeol. J., 22, 1807–1824, https://doi.org/10.1007/s10040-014-1173-6, 2014.

Lenderink, G., Buishand, A., and van Deursen, W.: Estimates of fu-ture discharges of the river Rhine using two scenario methodolo-gies: direct versus delta approach, Hydrol. Earth Syst. Sci., 11,1145–1159, https://doi.org/10.5194/hess-11-1145-2007, 2007.

Leydecker, A. and Melack, J.: Estimating evaporation in season-ally snow-covered catchments in the Sierra Nevada, Califor-nia, J. Hydrol., 236, 121–138, https://doi.org/10.1016/S0022-1694(00)00290-0, 2000.

Loáiciga, H. A., Maidment, D. R., and Valdes, J. B.: Climate-changeimpacts in a regional karst aquifer, Texas, USA, J. Hydrol.,

227, 173–194, https://doi.org/10.1016/S0022-1694(99)00179-1,2000.

Ma, T., Wang, Y., and Guo, Q.: Response of carbonateaquifer to climate change in northern China: a case studyat the Shentou karst springs, J. Hydrol., 297, 274–284,https://doi.org/10.1016/j.jhydrol.2004.04.020, 2004.

Malard, A., Sinreich, M., and Jeannin, P.-Y.: A novel approach forestimating karst groundwater recharge in mountainous regionsand its application in Switzerland, Hydrol. Process., 30, 2153–2166, https://doi.org/10.1002/hyp.10765, 2016.

Middelkoop, H., Daamen, K., Gellens, D., Grabs, W., Kwadijk,J. C. J., Lang, H., Parmet, B. W. A. H., Schädler, B.,Schulla, J., and Wilke, K.: Impact of climate changeon hydrological regimes and water resources manage-ment in the Rhine Basin, Climatic Change, 49, 105–128,https://doi.org/10.1023/A:1010784727448, 2001.

Ohmer, M., Liesch, T., Goeppert, N., and Goldscheider, N.: Onthe optimal selection of interpolation methods for groundwatercontouring: An example of propagation of uncertainty regardinginter-aquifer exchange, Adv. Water Resour., 109, 121–132, 2017.

Rogger, M., Viglione, A., Derx, J., and Blöschl, G.: Quantify-ing effects of catchments storage thresholds on step changes inthe flood frequency curve, Water Resour. Res., 49, 6946–6958,https://doi.org/10.1002/wrcr.20553, 2013.

Rössler, O., Diekkrüger, B., and Löffler, J.: Potential droughtstress in a Swiss mountain catchment-Ensemble forecasting ofhigh mountain soil moisture reveals a drastic decrease, de-spite major uncertainties, Water Resour. Res., 48, W04521,https://doi.org/10.1029/2011WR011188, 2012.

Rossman, L.: Strom water management model: user’s manual, ver-sion 5.0, 2010.

Taylor, R. G., Scanlon, B., Döll, P., Rodell, M., van Beek, R.,Wada, Y., Longuevergne, L., Leblanc, M., Famiglietti, J. S., Ed-munds, M., Konikow, L., Green, T. R., Chen, J., Taniguchi, M.,Bierkens, Marc F. P., MacDonald, A., Fan, Y., Maxwell, R. M.,Yechieli, Y., Gurdak, J. J., Allen, D. M., Shamsudduha, M.,Hiscock, K., Yeh, P. J.-F., Holman, I., and Treidel, H.: Groundwater and climate change, Nature Clim. Change, 3, 322–329,https://doi.org/10.1038/nclimate1744, 2013.

Seibert, J.: Multi-criteria calibration of a conceptual runoff modelusing a genetic algorithm, Hydrol. Earth Syst. Sci., 4, 215–224,https://doi.org/10.5194/hess-4-215-2000, 2000.

Singh, R., Wagener, T., Crane, R., Mann, M. E., and Ning,L.: A vulnerability driven approach to identify adverse cli-mate and land use change combinations for critical hy-drologic indicator thresholds: Application to a watershedin Pennsylvania, USA, Water Resour. Res., 50, 3409–3427,https://doi.org/10.1002/2013WR014988, 2014.

Sinreich, M., Goldscheider, N., and Hötzl, H.: Hydrogeologie eineralpinen Bergsturzmasse (Schwarzwassertal, Vorarlberg), Beit. z.Hydrogeologie, 53, 5–20, 2002.

Viviroli, D., Dürr, H. H., Messerli, B., Meybeck, M., and Wein-gartner, R.: Mountains of the world, water towers for humanity:Typology, mapping, and global significance, Water Resour. Res.,43, W07447, https://doi.org/10.1029/2006WR005653, 2007.

Vrugt, J. A.: Markov chain Monte Carlo simulation usingthe DREAM software package: Theory, concepts, and MAT-LAB implementation, Environ. Modell. Softw., 75, 273–316,https://doi.org/10.1016/j.envsoft.2015.08.013, 2016.

Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018 www.hydrol-earth-syst-sci.net/22/3807/2018/

Z. Chen et al.: Dynamics of water fluxes and storages in an Alpine karst catchment 3823

Wagner, G.: Rund um Hochifen und Gottesackergebiet: eine Ein-führung in die Erd- und Landschaftsgeschichte des Gebieteszwischen Iller und Bregenzer Ach, Hohenlohesche Buchhand-lung Ferdinand Rau, 1950.

Warscher, M., Strasser, U., Kraller, G., Marke, T., Franz, H., andKunstmann, H.: Performance of complex snow cover descrip-tions in a distributed hydrological model system: A case study forthe high Alpine terrain of the Berchtesgaden Alps, Water Resour.Res., 49, 2619–2637, https://doi.org/10.1002/wrcr.20219, 2013.

Wendling, U. and Müller, J.: Entwicklung eines Verfahrens zurrechnerischen Abschätzung der Verdunstung im Winter, Z. Me-teorol., 34, 82–85, 1984.

Zierl, B. and Bugmann, H.: Global change impacts on hydrolog-ical processes in Alpine catchments, Water Resour. Res., 41,W02028, https://doi.org/10.1029/2004WR003447, 2005.

www.hydrol-earth-syst-sci.net/22/3807/2018/ Hydrol. Earth Syst. Sci., 22, 3807–3823, 2018