<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">HESS</journal-id><journal-title-group>
    <journal-title>Hydrology and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1607-7938</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-26-407-2022</article-id><title-group><article-title>Aquifer recharge in the Piedmont Alpine zone: historical trends and future scenarios</article-title><alt-title>Past and future aquifer recharge in the Piedmont Alps</alt-title>
      </title-group><?xmltex \runningtitle{Past and future aquifer recharge in the Piedmont Alps}?><?xmltex \runningauthor{E.~Brussolo et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Brussolo</surname><given-names>Elisa</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2 aff3">
          <name><surname>Palazzi</surname><given-names>Elisa</given-names></name>
          <email>e.palazzi@isac.cnr.it</email>
        <ext-link>https://orcid.org/0000-0003-1683-5267</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff2">
          <name><surname>von Hardenberg</surname><given-names>Jost</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Masetti</surname><given-names>Giulio</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Vivaldo</surname><given-names>Gianna</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Previati</surname><given-names>Maurizio</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2907-2310</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Canone</surname><given-names>Davide</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4813-0966</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Gisolo</surname><given-names>Davide</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bevilacqua</surname><given-names>Ivan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0882-5261</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Provenzale</surname><given-names>Antonello</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8544-6199</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Ferraris</surname><given-names>Stefano</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Research Center, Società Metropolitana Acque Torino S.p.A., Turin, Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Atmospheric Sciences and Climate, National Research Council of Italy (CNR), Turin, Italy</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Physics, Università di Torino, Turin, Italy</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Environment, Land and Infrastructure Engineering (DIATI), Politecnico di Torino, Turin, Italy</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Geosciences and Earth Resources, National Research Council of Italy (CNR), Pisa, Italy</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Interuniversity Department of Regional and Urban Studies and Planning (DIST), <?xmltex \hack{\break}?>Politecnico di Torino and Università di Torino, Turin, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Elisa Palazzi (e.palazzi@isac.cnr.it)</corresp></author-notes><pub-date><day>26</day><month>January</month><year>2022</year></pub-date>
      
      <volume>26</volume>
      <issue>2</issue>
      <fpage>407</fpage><lpage>427</lpage>
      <history>
        <date date-type="received"><day>25</day><month>September</month><year>2020</year></date>
           <date date-type="rev-request"><day>26</day><month>February</month><year>2021</year></date>
           <date date-type="rev-recd"><day>8</day><month>September</month><year>2021</year></date>
           <date date-type="accepted"><day>2</day><month>December</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Elisa Brussolo et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022.html">This article is available from https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e209">The spatial and temporal variability of air temperature, precipitation, actual evapotranspiration (AET) and their related water balance components, as well as their responses to anthropogenic climate change, provide fundamental information for an effective management of water resources and for a proactive involvement of users and stakeholders, in order to develop and apply adaptation and mitigation strategies at the local level.</p>

      <p id="d1e212">In this study, using an interdisciplinary research approach tailored to water management needs, we evaluate the past, present and future quantity of water potentially available for drinking supply in the water catchments feeding the about 2.3 million inhabitants of the Turin metropolitan area (the former Province of Turin, north-western Italy), considering climatologies at the quarterly and yearly timescales.
Observed daily maximum surface air temperature and precipitation data from 1959 to 2017 were analysed to assess historical trends, their significance and the possible cross-correlations between the water balance components.
Regional climate model (RCM) simulations from a small ensemble were analysed to provide mid-century projections of the difference between precipitation and AET for the area of interest in the future CMIP5 scenarios RCP4.5 (stabilization) and RCP8.5 (business as usual). Temporal and spatial variations in recharge were approximated with variations of drainage. The impact of irrigation, and of snowpack variability, on the latter was also assessed. The other terms of water balance were disregarded because they are affected by higher uncertainty.</p>

      <p id="d1e215">The analysis over the historical period indicated that the driest area of the study region displayed significant negative annual (and spring) trends of both precipitation and drainage. Results from field experiments were used to model irrigation,
and we found that relatively wetter watersheds in the northern and in the southern parts behave differently, with a significant increase of AET due to irrigation.
The analysis of future projections suggested almost stationary conditions for annual data. Regarding quarterly data, a slight decrease in summer drainage was found in three out of five models in both emission scenarios. The RCM ensemble exhibits a large spread in the representation of the future drainage trends.
The large interannual variability of precipitation was also quantified and identified as a relevant risk factor for water management, expected to play a major role also in future decades.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e227">Water is a crucial resource, intrinsically linked to society and culture development, food and energy security, well-being, environmental sustainability and poverty reduction.
However, several factors, including urbanization, population<?pagebreak page408?> growth, land use and soil consumption, and industrial and agricultural development, endanger water resource sustainability in terms of availability, quality, management and demand <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx77" id="paren.1"/>.
Groundwater resources represent about 97 % of liquid freshwater resources on Earth <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx32" id="paren.2"/> and play a key role in water supply and proper preservation of ecosystems <xref ref-type="bibr" rid="bib1.bibx77" id="paren.3"/>. Groundwater resources help to maintain river discharges and, together with surface freshwaters, are accounted for in water budget considerations at the river basin scale <xref ref-type="bibr" rid="bib1.bibx63" id="paren.4"/>. The hydrological connection between groundwater and surface water is primarily controlled by (1) the driving force generated by the hydraulic gradient between groundwater and surface water and (2) the permeability degree of the aquifer in comparison to a streambed (i.e. different hydraulic conductivity) due to the geological context <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx25" id="paren.5"/>. Groundwater and surface water interaction is influenced by both local and regional regimes <xref ref-type="bibr" rid="bib1.bibx25" id="paren.6"/>. Local interaction could be very complex, and different methods were developed to quantify this interaction in different locations <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx40" id="paren.7"/>.
Groundwater resources are of utmost importance for their mitigation effects during dry periods, and their reduction can impact the whole hydrological cycle.
Groundwater is a fundamental natural resource that acts as a reservoir from which good-quality water can be collected for drinking purposes, requiring few purifying treatments compared to surface water.
Climate change influences several components of the water cycle, including groundwater resources, causing a lowering of piezometric levels due to discharge modifications as a result of snow retention reduction, changes in precipitation regimes and potential evapotranspiration that increases with increasing temperatures.
In Alpine regions, shorter and thinner snowpack will decrease late spring flows, while the air temperature rise will increase stream flows in autumn and winter due to trading of snowfall for rainfall <xref ref-type="bibr" rid="bib1.bibx19" id="paren.8"/>, leading to a shift of groundwater recharge from summer to winter, as evaluated by <xref ref-type="bibr" rid="bib1.bibx16" id="text.9"/> and <xref ref-type="bibr" rid="bib1.bibx26" id="text.10"/> in Switzerland.</p>
      <p id="d1e261">Surface water and pollutants infiltration, together with  over-exploitation of wells, can further deplete groundwater resources, triggering the competition between irrigation and potable uses.
While the degradation of water quality mostly depends on land use and saltwater intrusions into coastal groundwater <xref ref-type="bibr" rid="bib1.bibx39" id="paren.11"/>, climate change also may affect, either directly or indirectly, the quality of groundwater resources. Temperature impacts biological, chemical and physical properties of groundwater resources <xref ref-type="bibr" rid="bib1.bibx26" id="paren.12"/>, even if the increase of air temperature is not necessary directly correlated with groundwater temperature increase. In fact, this correlation depends on the intrinsic properties of aquifers, on local and regional spatio-temporal scales and on different anthropic inputs <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx8" id="paren.13"/>.
Moreover, the interaction between surface water and groundwater flow systems influences the water chemistry <xref ref-type="bibr" rid="bib1.bibx43" id="paren.14"/>, since in areas where rainfall intensity is expected to increase, pollutants will be increasingly washed from soils to water bodies <xref ref-type="bibr" rid="bib1.bibx34" id="paren.15"/>. Finally, water-level changes are a key indicator that flow patterns are changing and that low-quality water may be mobilized <xref ref-type="bibr" rid="bib1.bibx50" id="paren.16"/>.</p>
      <p id="d1e283">Climate change also exacerbates the risks associated with changes in the distribution and availability of water resources <xref ref-type="bibr" rid="bib1.bibx39" id="paren.17"/>, with consequences for water-demand management and infrastructural system planning <xref ref-type="bibr" rid="bib1.bibx72" id="paren.18"/>. In this framework, assessing climate change impacts on Integrated Urban Water Management (IUWM), considering a worsening of pre-existing conditions and/or an occurrence of new hazards or risk factors and planning climate change adaptation strategies are fundamental challenges that IUWM is expected to face in the near future, using an integrated approach based on prevention, preparedness and risk assessment. To this end, an appropriate proactive engagement of stakeholders is needed, in order to develop and apply adaptation and  mitigation strategies quantified and driven by state-of-the art climate information and projections.</p>
      <p id="d1e292">The Alps and the Mediterranean area are recognized as two climate hotspot regions <xref ref-type="bibr" rid="bib1.bibx36" id="paren.19"/>, showing amplified climate change signals and associated environmental, social and economical impacts. Future projections for the Italian territory, in particular, show an  increase of high precipitation intensity, typically distributed in more intermittent events, together with an increase of the duration of dry periods <xref ref-type="bibr" rid="bib1.bibx22" id="paren.20"/>. However, in north-western Italy, these trends are not clear, and they are very site-dependent <xref ref-type="bibr" rid="bib1.bibx7" id="paren.21"/>. In a recent paper analysing European floods, in Piedmont almost no precipitation trend emerged, with the exception of the Dora Riparia valley, where precipitation is declining <xref ref-type="bibr" rid="bib1.bibx11" id="paren.22"/>. Another recent work shows the differences in freshwater trends between central and southern Europe <xref ref-type="bibr" rid="bib1.bibx30" id="paren.23"/>.
In fact, Italy is a climatic bridge between the Mediterranean and the inland European climate <xref ref-type="bibr" rid="bib1.bibx45" id="paren.24"/>, and in Piedmont there are mountains 4000 m high at just 160 km distance from the Mediterranean Sea.</p>
      <p id="d1e315">Northern Italy is also a bridge between areas where actual evapotranspiration is mainly soil-moisture-limited (Mediterranean) and areas where it is energy-limited (central Europe).</p>
      <p id="d1e318">For precipitation, the transient development of the impingement of cold fronts on the Alps induces a wide range of mesoscale phenomena. On the one hand, when the Alpine chain is subject to a southerly flow of moist and relatively warm air from the Mediterranean Sea, very intense precipitation episodes can take place, such as the Piedmont flood in November 1994. The Piedmont lowlands act as a natural trap for moist airflows from the south-east, particularly in autumn. On the other hand, northerly flows lead to dry weather, particularly in winter  <xref ref-type="bibr" rid="bib1.bibx55" id="paren.25"/>. Most relevant<?pagebreak page409?> rainfall and snowfall episodes, including extreme events, are thus due to southerly flow.</p>
      <p id="d1e324">For water management, the IUWM in Italy is geographically organized into local districts (called “ATO” – Ambiti Territoriali Ottimali, which translates into “Optimal Territorial Divisions”), whose domains were defined based on various criteria, either administrative boundaries or physical ones, including river basin boundaries (Legislative Decree No 152/2006, as further amended).
The boundaries of these districts mostly coincide with administrative borders; in the Piedmont region, the Turin metropolitan area represents local district ATO3, where the IUWM is provided by Società Metropolitana Acque Torino (SMAT).
This is a wide and geographically complex area, and SMAT exploits many and diverse supply sources, with groundwater resources representing about 80 % of the whole water supply in terms of volume available to SMAT.</p>
      <p id="d1e327">It is therefore important to evaluate the balance between precipitation and actual evapotranspiration (AET) and their related spatial and temporal variabilities. Several studies can be found in the literature which evaluate the impacts of climate change on groundwater resources, e.g. <xref ref-type="bibr" rid="bib1.bibx39" id="text.26"/> and <xref ref-type="bibr" rid="bib1.bibx71" id="text.27"/>.</p>
      <p id="d1e336">Recharge varies in space and time, and it is difficult to measure directly; therefore a comprehensive understanding is lacking. In this paper, we define recharge as the difference between precipitation and actual evapotranspiration. This simplification follows a recent review paper, where mesoscale is defined as the ideal scale for simulating the effect of climate change on recharge, and precipitation is mentioned as the largest source of recharge variability <xref ref-type="bibr" rid="bib1.bibx65" id="paren.28"/>. Moreover, in a recent study, considering several wells located in nine regions of the central and north-eastern United States, the recharge (evaluated as drainage from the lowest model soil layer) was shown to be compatible with observed monthly groundwater storage anomalies and month-to-month changes in groundwater storage <xref ref-type="bibr" rid="bib1.bibx44" id="paren.29"/>. In the selected study area, a recent study commissioned by the Water Department of the Piedmont Region shows that the recharge areas of the deep aquifers occur in the high plain sectors, close to the Alps <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx21" id="paren.30"/>, justifying our choice to avoid river-fed recharge. A new global dataset encompassing more than 5000 locations has shown that precipitation amounts and seasonality of temperature and precipitation are the most important variables <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx18" id="paren.31"/>.
<xref ref-type="bibr" rid="bib1.bibx26" id="text.32"/>, in a recent paper on Swiss alluvial aquifers, underline the importance of both spatial and temporal variability in recharge related studies carried out in a region close to our study area.
Regarding spatial variability, <xref ref-type="bibr" rid="bib1.bibx52" id="text.33"/> identified  drainage as a proxy for recharge in a controlled mesocosm. Their results highlighted the potential for local interactions between temperature, vegetation and soils to moderate the hydrological response to climate warming. The importance of soil and vegetation was also underlined by <xref ref-type="bibr" rid="bib1.bibx18" id="text.34"/>. The outputs of the <xref ref-type="bibr" rid="bib1.bibx52" id="text.35"/> study show that AET decreased in summer because of soil moisture shortage. This result is due to the fact that precipitation is out of phase with the growing season cycle, and irrigation is operated only for reproducing natural rainfall events. At the yearly timescale, they did not find a reduction of AET in their evaluation of trends.</p>
      <p id="d1e364">Regarding temporal variability, interannual variability also plays a major role in groundwater recharge, and it is critical for water managers. <xref ref-type="bibr" rid="bib1.bibx48" id="text.36"/> have shown how quasi-decadal large groundwater recharge events can be important for replenishing the aquifers. These events are characterized by large precipitation (both rainfall and  snow water equivalent) and by below-average seasonal temperatures.</p>
      <p id="d1e371">Also, the effects of climate change are not all in the same direction. In a study using 16 global climate models (GCMs), a considerable uncertainty in both the magnitude and direction of recharge changes was shown for 2050 year projections in different parts of the High Plains <xref ref-type="bibr" rid="bib1.bibx20" id="paren.37"/>. A more recent  study has revealed variability in both direction and magnitude of hydrological changes for the Great Lake basin of North America, with a combination of different regional climate models (RCMs; <xref ref-type="bibr" rid="bib1.bibx54" id="altparen.38"/>).</p>
      <p id="d1e380"><xref ref-type="bibr" rid="bib1.bibx41" id="text.39"/> reported at the global scale an increase in annual mean evaporation over the land surface, attributed to the increase in temperature. They deal with water availability as the difference between precipitation and actual evapotranspiration. In this paper we call this quantity drainage, as a proxy for recharge, computed by the soil model in each pixel, without modelling both runoff and the underlying aquifer flow. The other terms of water balance have more uncertainty and probably lower impact: soil water storage is small, river runoff has scattered measurements and complex process modelling and subsurface flow always shows large uncertainties associated with its estimation <xref ref-type="bibr" rid="bib1.bibx32" id="paren.40"/>.</p>
      <p id="d1e388">In this paper we develop a stakeholder-driven interdisciplinary research study, where scientists in atmospheric/climate research and  hydrologists  work together with agricultural and soil scientists and experts from a water utility  to quantify the role of groundwater, focusing on an area providing water to about 2.3 million people. This area is characterized by a very large spatial precipitation and air temperature variability, owing to the proximity of high mountains and of the sea.</p>
      <p id="d1e391">The main research questions, relevant also for other regions worldwide, are as follows:
(a) can the water balance  show a significant trend only because of a significant trend in AET? Is also a significant trend in precipitation necessary?
(b) How different are water balance trends in three different parts of the area, namely a drier west–east-oriented mountain area, a wetter mountain area and a mostly irrigated agricultural area? In fact, in about 7000 km<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> there are quite different situations, the former two with an impact of snow versus rain and anticipated snowmelt trends and the latter with a AET<?pagebreak page410?> temperature increase compensation with irrigation.
(c) To what extent are the spatial variability and trends observed in the past 60 years expected to undergo changes during the next 30 years?</p>
      <p id="d1e403">We evaluate the temporal variability and the trends of the water balance terms, estimating the quantity of groundwater resource available for drinking water supply in the water catchments of the area managed by SMAT. The analyses are performed at both the quarterly and the hydrological year timescale, for both past and future conditions, analysing a historical climate dataset for the period 1959–2017 and future projections from regional climate model RCA4 RCM simulations up to 2050, in order to be compliant with relatively short-term water management objectives.</p>
      <p id="d1e406">The expected results will form a knowledge basis for operational indications and will be useful to characterize future groundwater resources availability in other border areas between Mediterranean and continental climate, especially where the water resource is subject to multiple anthropogenic pressures. This paper represents a scientific contribution to the management and the governance of water resources and water supply that could be applied worldwide, through, for example, the implementation of scientifically driven guidelines and strategic agendas on water supply and water policies.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study area and methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d1e424">Many foothill zones in the Alps and Apennines contain aquifer systems of strategic interest for water supply, especially for drinking purposes <xref ref-type="bibr" rid="bib1.bibx24" id="paren.41"/>.
In this framework, the aquifer system extending in the foothill plain located between the western Alps and the Turin hills represents one of the most significant and
studied groundwater bodies in the Piedmont region <xref ref-type="bibr" rid="bib1.bibx56" id="paren.42"/>.</p>
      <p id="d1e433">This study area, within the administrative borders of the Turin metropolitan area (encompassing the entire territory of the former Province of Turin), has a complex orography and is surrounded on the western and northern sides by the Alps (with elevation peaks higher than 4000 m above sea level at the border with the Valle d'Aosta region) and on the eastern and southern sides by hills and plains.  Precipitation in the study area is characterized by relatively high spatial and temporal variability (yearly total ranging from about 500 mm in the plain to 2000 mm for high-elevation gauges). The study area, in fact, is prone to topographically induced precipitation and is exposed to the inflow of moisture-rich air from the Mediterranean Sea  <xref ref-type="bibr" rid="bib1.bibx17" id="paren.43"/>. It is also an area characterized by the occurrence of relatively long dry periods, up to 6.4 d on average during winter <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx7" id="paren.44"/>.</p><?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e444">The study area including river  catchments and sub-catchments. Illustration of the water balance terms at the catchment scale is shown in the inset. Topographic shading is based on DEM data from the “Progetto Risknat – Base topografica transfrontaliera, ARPA Piemonte” (<uri>http://webgis.arpa.piemonte.it/ags101free/rest/services/topografia_dati_di_base/Sfumo_Europa_WM/MapServer</uri>, last access: 14 August 2020).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f01.png"/>

        </fig>

      <p id="d1e457">Owing to its hydrogeological features (see also the rivers system shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>), the foothill aquifer systems generally sustain the infiltration of both local rainfall and stream water originating from mountain catchments.
These systems are highly sensitive to variations in meteoclimatic variables, first of all in precipitation regimes.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Water balance terms</title>
      <p id="d1e470">In this paper we refer to water balance as the balance between water inputs and outputs at the catchment scale, as schematically shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p>
      <p id="d1e475">Given the timescales of interest and the uncertainties inherent in some terms of the water balance equation, in this study the standard formulation of this equation has been simplified, including precipitation, actual evapotranspiration (AET) and drainage (obtained by subtracting AET from the sum of rainfall and snowmelt), which is used as a proxy for the groundwater recharge. This approach is common to other studies, and many of them <xref ref-type="bibr" rid="bib1.bibx32" id="paren.45"/> do not make a distinction between drainage and groundwater recharge. This choice has also been discussed in the Introduction.
Also, in the study area, measured river flow data cover a temporal interval shorter than 2 decades (2000–2017), not allowing robust regressive models to be built to be able to estimate deep percolation outside the time interval of data availability.
Regarding the time step of calculation, the daily scale is recommended because of precipitation intermittency, in order to avoid the underestimation of drainage and recharge (e.g. <xref ref-type="bibr" rid="bib1.bibx32" id="altparen.46"/>). Therefore in this work the computation is done at the daily scale in the soil column, and results are then aggregated at the yearly and quarterly timescale and, spatially, at the catchment scale.</p>
      <p id="d1e484">The daily soil model will be described later in the text. The yearly catchment water balance can be simplified as follows  <xref ref-type="bibr" rid="bib1.bibx32" id="paren.47"/>:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M2" display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mtext>AET</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the sum of liquid precipitation (rainfall) and snowmelt, AET the actual evapotranspiration and <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the drainage. Surface and subsurface catchments are assumed to be coincident as they are bounded by the border mountain divide <xref ref-type="bibr" rid="bib1.bibx21" id="paren.48"/>. Storage variations in time are disregarded because the control volume is composed of vadose zone soil columns, with an aggregation of results at the quarterly and yearly timescale.
The soil model presented in the following is used to calculate AET and <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in each pixel at the daily timescale.</p>
      <p id="d1e551">To account for the different ground characteristics and variations, together with the physical description of the hydrological processes, all the water balance variables (except for output discharge) must be first evaluated at a fine spatial resolution and then aggregated (i.e. upscaled) at watershed level.
To this end, a horizontal spatial resolution of 250 m was considered to be a good compromise between the necessity<?pagebreak page411?> of high resolution and the computational resources required:  the study area was discretized into a grid of <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mn mathvariant="normal">652</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">521</mml:mn></mml:mrow></mml:math></inline-formula> pixels.</p>
      <p id="d1e567">The model takes into account the effects of irrigation on the value of AET. However, input and output irrigation terms in surface and groundwater balance are assumed to balance out at the catchment level. Also, industrial water withdrawals do not change the water balance at the watershed scale because they give back the captured water at short distance, performed mostly for hydroelectric energy production.</p>
      <p id="d1e570">The contribution of glacier and permanent snow melting  can be disregarded because it is very small in comparison with the catchment areas. However the evaluation of snowmelt from the snowpack is quite important as it represents the amount of daily snow equivalent contributing to the water balance. In fact, as outlined in the review by <xref ref-type="bibr" rid="bib1.bibx71" id="text.49"/>, at high altitudes, increasing temperatures lead to less snow accumulation and earlier snowmelt and to more winter precipitation in form of rain.</p>
      <?pagebreak page412?><p id="d1e576">To this end, as a first step, air temperature was used to distinguish between snowfall (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and rainfall (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx23" id="paren.50"/>: for temperatures lower than or equal to <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, all the precipitation amount can be considered to be snowfall, while for temperatures higher than or equal to 5 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, all the precipitation amount can be considered to be rainfall. For temperatures between <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 5 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, rainfall and snowfall amounts were linearly interpolated, in order to break down the different percentages of precipitation type.
The resulting snowfall <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was used as an input to a simple bucket model in each pixel, used to integrate the storage of snow on ground, <inline-formula><mml:math id="M15" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>. The daily snowmelt, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, was subtracted from the same bucket, and it was evaluated using the method by <xref ref-type="bibr" rid="bib1.bibx78" id="text.51"/>, where the melted snow is a function of the difference between the daily mean temperature <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and melting temperature <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0 <inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and of the rainfall amount (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> evaluated in mm d<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), as follows:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M22" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mtext> day</mml:mtext><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mo movablelimits="false">max⁡</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">snow</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">rain</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>]</mml:mo><mml:mo mathvariant="italic">}</mml:mo><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">rain</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (rainfall melt-rate factor) and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">snow</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (melt-rate factor) are fixed parameters. The same values as in <xref ref-type="bibr" rid="bib1.bibx78" id="text.52"/>  were used:  <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">rain</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0757</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">snow</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> mm d<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e940">A correct evaluation of the water balance allows for a reliable estimation of water availability. To this end, the following chain was applied in the study area:
<list list-type="order"><list-item>
      <p id="d1e945">identification and retrieval of the daily meteoclimatic (i.e. temperature and precipitation) data;</p></list-item><list-item>
      <p id="d1e949">regridding of the meteoclimatic and hydrological data at the spatial resolution required by the hydrological model, namely a square 250 m grid;</p></list-item><list-item>
      <p id="d1e953">setting up of a mathematical model that accounts for soil–vegetation–atmosphere interactions and provides actual evapotranspiration estimates (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>).</p></list-item></list>
Observational and reanalysis datasets have been used to obtain meteoclimatic  data for the period 1959–2017, as described in Sect. <xref ref-type="sec" rid="Ch1.S3"/>, while for the assessment of future water balance scenarios, climate projections of temperature and precipitation were used (see Sect. <xref ref-type="sec" rid="Ch1.S4"/>).</p>
      <p id="d1e963">In order to be compliant with management objectives for strategic long-term planning, the input datasets, available at daily resolution (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>), were aggregated to quarterly and yearly timescales using the definition of hydrological year (the first quarter includes January, February and March (JFM), the second April, May and June (AMJ), the third July, August and September (JAS) and the fourth October, November and December (OND)). The hydrological year, <inline-formula><mml:math id="M32" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, starts on 1 October of year <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and ends on 30 September of year <inline-formula><mml:math id="M34" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>. During the hydrological year, a complete snowfall melting occurs, making the breakdown of precipitation between rainfall and melted snow negligible.
At high altitudes, this melting is not complete, and the annual variability entails the fluctuation of snow on the ground from one (hydrological) year to the following one. This phenomenon is limited to the highest peaks and is relevant only for limited areas.
For this reason, for evaluations at the yearly timescale, <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was assumed to be equal to the total average yearly precipitation.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Soil water model</title>
      <p id="d1e1013">A simple bucket soil water model was developed in order to estimate AET values at the daily scale for each 250 m <inline-formula><mml:math id="M36" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 m pixel of the study area. The soil is schematized with seven different layers of increasing thickness with depth, similar to the FAO56 model <xref ref-type="bibr" rid="bib1.bibx4" id="paren.53"/>.
The water inputs for the model are precipitation (sum of rainfall and melted snow) and irrigation, if any. The outputs are AET and drainage (sum of runoff and deep percolation). The distinction between runoff and deep percolation is not included in the model, as well as the modelling of capillary rise.</p>
      <p id="d1e1026">For each layer, the bucket equation is as follows:
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M37" display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi>I</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>AET</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is rainfall plus snowmelt, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi>I</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is irrigation, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is drainage, AET is actual evapotranspiration and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> is the variation of water storage in the soil per day. In a bucket model (as discussed by <xref ref-type="bibr" rid="bib1.bibx9" id="altparen.54"/>, in their paper focused on the same area in north-western Italy) water can be lost via evapotranspiration or evaporation and flow downwards between layers via deep percolation, as a function of
soil water content of each layer: if it exceeds field capacity, the water surplus percolates into the layer immediately below.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Actual evapotranspiration computation </title>
      <p id="d1e1126">As reported by the Fifth Assessment Report of the IPCC <xref ref-type="bibr" rid="bib1.bibx36" id="paren.55"/>, a rise in greenhouse gas concentrations is associated with reduced soil moisture in Northern Hemisphere mid-latitude summers. This is the result of higher winter and spring evaporation, caused by higher temperatures and reduced snow cover, and of lower rainfall inputs during summer. Regarding the effects on recharge of managed agrosystems, <xref ref-type="bibr" rid="bib1.bibx71" id="text.56"/> state that changes in surface energy budgets are associated with enhanced soil moisture from irrigation. The widespread use of irrigation in  most parts of the Po Valley plain cancels out the dampening role of AET soil moisture limitation. At the same time, roughly half of the surface of the study area is covered by mountain grasslands and non-irrigated areas, where moisture limitation can play an important role.</p>
      <p id="d1e1135">The actual evapotranspiration, AET, was calculated starting from potential evapotranspiration, PET, then reduced by considering the actual soil water content, obtained from the bucket soil model for each layer, with AET of each day being the sum of the depletions from the single layers.
PET was calculated with the model of Hargreaves and Samani as in <xref ref-type="bibr" rid="bib1.bibx4" id="text.57"/>, using daily maximum and minimum air temperature data from the regional dataset described in Sect. <xref ref-type="sec" rid="Ch1.S3"/>.1 and extraterrestrial radiation modelled as in <xref ref-type="bibr" rid="bib1.bibx2" id="text.58"/>. Also, the reduction of evapotranspiration (from PET to AET) due to actual soil water content was modelled using the coefficients <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> related to crop and soil respectively according to <xref ref-type="bibr" rid="bib1.bibx4" id="text.59"/>, comparing the modelling results with real-world measurements at different sites <xref ref-type="bibr" rid="bib1.bibx57" id="paren.60"/>.</p>
      <?pagebreak page413?><p id="d1e1175">The soil water model reproduces the data in the case of no irrigation very well.
However, a relevant contribution of irrigation, especially for highly water-demanding crops such as maize, can increase the AET term of the water balance. These water-demanding crops are quite widespread in the study area (about 750 km<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>), and therefore a novel procedure  reproducing agricultural irrigation techniques was implemented in the soil water model. This module  is based on previous research in three farms <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx15" id="paren.61"/>, reproducing the farmers' decision rules and tuned in order to obtain irrigation events similar to the  observed ones.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Observed data</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Temperature and precipitation</title>
      <p id="d1e1206">The past and present precipitation and temperature data necessary to force the hydrological model employed in this study were derived from the Regional Environmental Protection Agency of Piedmont (ARPA Piemonte) databases. In particular they have been extracted from the OI (optimal interpolation) dataset <xref ref-type="bibr" rid="bib1.bibx5" id="paren.62"><named-content content-type="pre">in italian,</named-content></xref>. This dataset provides cumulative daily precipitation and maximum and minimum daily temperature at a spatial resolution of 0.125<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude–latitude (corresponding to <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> km) over the entire Piedmont region, for a time period extending from 1959 to 2017.
The OI dataset was obtained by interpolation of in situ observations collected by the Hydrographic Office network and by the network of the ARPA telemetry stations through the technique of optimal interpolation, which allows data to be obtained on a regular grid, homogenizing observational data from different measurement networks and sources <xref ref-type="bibr" rid="bib1.bibx6" id="paren.63"/>. A preliminary quality check of the OI data revealed the existence of days (all referring to years before 1990) for which the minimum temperature showed a higher value than the maximum temperature, probably owing to issues in the data acquisition. These data were excluded from the analysis and replaced by new values obtained through linear interpolation in time, rather than in space, in order not to smooth the orographic information inherent in the original OI dataset.</p>
      <p id="d1e1236">The OI dataset provides a set of meteorological variables at a coarser spatial resolution than that required to describe the small-scale hydrological processes and to accurately estimate the water balance terms, calling for the application of interpolation and downscaling techniques. After re-projecting the OI temperature and precipitation data into a WGS84/UTM zone 32 N coordinate system useful for the subsequent analyses, they were further interpolated at the finer resolution of 250 m over the domain of interest (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">304</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> m, <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">434</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">951</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">750</mml:mn></mml:mrow></mml:math></inline-formula> m, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">094</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">750</mml:mn></mml:mrow></mml:math></inline-formula> m).
The conversion was preceded by a preliminary bilinear interpolation of the OI dataset, in order to produce an intermediate higher resolution dataset at a resolution of 0.001<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude–longitude and to avoid artefacts when re-projecting into UTM coordinates. Post-processing was performed using GDAL (Geospatial Data Abstraction Library; v. 2.1) and CDO (Climate Data Operators; v. 1.7.0) software.</p>
      <p id="d1e1326">A further adjustment to account for orographic effects was applied to maximum and minimum temperature data, using the environmental lapse-rate correction coefficients derived for the Alpine region by <xref ref-type="bibr" rid="bib1.bibx62" id="text.64"/>, shown in Table <xref ref-type="table" rid="Ch1.T1"/>.
Figure <xref ref-type="fig" rid="Ch1.F2"/> shows an example of orographic correction  (panel b) applied to a maximum temperature field (panel a) for a selected day (1 January 2009). The orography of the study area is shown in the right panel, based on a 90 m resolution digital elevation model (DEM) derived from the SRTM (Shuttle Radar Topography Mission) project <xref ref-type="bibr" rid="bib1.bibx38" id="paren.65"/>, interpolated at 250 m.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1343">Average climatological monthly adiabatic lapse rate from <xref ref-type="bibr" rid="bib1.bibx62" id="text.66"/> for the Alpine region (expressed in K km<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:colspec colnum="10" colname="col10" align="center"/>
     <oasis:colspec colnum="11" colname="col11" align="center"/>
     <oasis:colspec colnum="12" colname="col12" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Jan</oasis:entry>
         <oasis:entry colname="col2">Feb</oasis:entry>
         <oasis:entry colname="col3">Mar</oasis:entry>
         <oasis:entry colname="col4">Apr</oasis:entry>
         <oasis:entry colname="col5">May</oasis:entry>
         <oasis:entry colname="col6">June</oasis:entry>
         <oasis:entry colname="col7">July</oasis:entry>
         <oasis:entry colname="col8">Aug</oasis:entry>
         <oasis:entry colname="col9">Sep</oasis:entry>
         <oasis:entry colname="col10">Oct</oasis:entry>
         <oasis:entry colname="col11">Nov</oasis:entry>
         <oasis:entry colname="col12">Dec</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">4.5</oasis:entry>
         <oasis:entry colname="col2">5.0</oasis:entry>
         <oasis:entry colname="col3">5.8</oasis:entry>
         <oasis:entry colname="col4">6.2</oasis:entry>
         <oasis:entry colname="col5">6.5</oasis:entry>
         <oasis:entry colname="col6">6.5</oasis:entry>
         <oasis:entry colname="col7">6.5</oasis:entry>
         <oasis:entry colname="col8">6.5</oasis:entry>
         <oasis:entry colname="col9">6.0</oasis:entry>
         <oasis:entry colname="col10">5.5</oasis:entry>
         <oasis:entry colname="col11">5.0</oasis:entry>
         <oasis:entry colname="col12">4.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1482">Maximum temperature field at <bold>(a)</bold> 0.125<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude–latitude spatial resolution from the original OI dataset and at <bold>(b)</bold> 250 m resolution after interpolation with orographic correction, for 1 January 2009. Panel <bold>(c)</bold> shows the orography of the study area from a digital elevation model derived from the SRTM project, interpolated at 250 m of spatial resolution.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Input data of the soil water model</title>
      <p id="d1e1517">The soil hydraulic properties have been estimated via pedotransfer functions (PTF) following <xref ref-type="bibr" rid="bib1.bibx64" id="text.67"/> from the sand, clay and silt percentages taken from the soil map of the Piemonte Region <xref ref-type="bibr" rid="bib1.bibx37" id="paren.68"><named-content content-type="pre">scale <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula>,</named-content></xref>. Computing the wilting point (WP) and field capacity (FC) via PTF,
the total available water (TAW) is calculated for each layer as follows:
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M55" display="block"><mml:mrow><mml:mtext>TAW</mml:mtext><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mtext>FC</mml:mtext><mml:mo>-</mml:mo><mml:mtext>WP</mml:mtext><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M56" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the fraction of volume occupied by stones,
and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the layer depth, which is obtained by dividing the root zone depth <inline-formula><mml:math id="M58" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> by the number of layers (seven; see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>).
The root zone depth has been obtained using the land cover classes from the
BDTRE database <xref ref-type="bibr" rid="bib1.bibx60" id="paren.69"/>, listed in Table <xref ref-type="table" rid="Ch1.T2"/>, converted  into root zone depth using different root zone depths for each class, as listed in Table <xref ref-type="table" rid="Ch1.T3"/>.
The resulting root zone depth was compared with the soil depth provided by the soil map of the Piemonte Region <xref ref-type="bibr" rid="bib1.bibx37" id="paren.70"/>, choosing the minimum between the two depths.
For trees, the water from the whole soil depth can be depleted, and so soil depth has been used.
Because of the high spatial resolution of BDTRE, the raster has been produced with a 5 m <inline-formula><mml:math id="M59" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 m grid then resampled at 250 m by the mode criterion.
Homogenizing data as a function of the evapotranspiration behaviour of each class, the different land cover classes have been aggregated (Table <xref ref-type="table" rid="Ch1.T2"/>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1636">Land cover classes.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Class</oasis:entry>
         <oasis:entry colname="col2">ID code</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Winter crops</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer crops – irrigated</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Plain meadows (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.)</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Orchards</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horticultural crops</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Plain broadleaves (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">800</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.)</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mountain broadleaves (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">800</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.)</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coniferous</oasis:entry>
         <oasis:entry colname="col2">8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vineyards</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mountain grassland (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.)</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bare soil</oasis:entry>
         <oasis:entry colname="col2">11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bare rocks</oasis:entry>
         <oasis:entry colname="col2">12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Impervious surfaces</oasis:entry>
         <oasis:entry colname="col2">13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Water</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Others</oasis:entry>
         <oasis:entry colname="col2">15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glaciers and permanent snow</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1852">Soil bucket depth as a function of land cover class. For trees (codes 4, 6, 7, 8 and 9) the full soil depth from the soil map of the Piemonte Region is used.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ID code</oasis:entry>
         <oasis:entry colname="col2">Soil use</oasis:entry>
         <oasis:entry colname="col3">Soil bucket depth [mm]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1 2</oasis:entry>
         <oasis:entry colname="col2">Irrigated crops</oasis:entry>
         <oasis:entry colname="col3">1000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3 5</oasis:entry>
         <oasis:entry colname="col2">Plain grassland and horticulture</oasis:entry>
         <oasis:entry colname="col3">500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Mountain grassland</oasis:entry>
         <oasis:entry colname="col3">250</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2">Bare soil</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12 13 14 16</oasis:entry>
         <oasis:entry colname="col2">Impermeable surfaces, water, glaciers</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page414?><p id="d1e1945">Finally, considering that irrigation (here considered as water input) significantly modifies actual evapotranspiration, for quantifying the actually irrigated fields, we used the regional irrigation information system <xref ref-type="bibr" rid="bib1.bibx59" id="paren.71"/>, the agricultural crop survey and the historical maps within the actually utilized agricultural areas survey database <xref ref-type="bibr" rid="bib1.bibx58" id="paren.72"/>, for the years 2013, 2014 and 2015. The actual quantity of irrigation water and the number of irrigations have been evaluated using the measured data collected in experiments performed in real-world farms, both for surface irrigation <xref ref-type="bibr" rid="bib1.bibx14" id="paren.73"/> and for sprinklers <xref ref-type="bibr" rid="bib1.bibx15" id="paren.74"/>.</p>
      <p id="d1e1960">Even if runoff was not considered in this study, following <xref ref-type="bibr" rid="bib1.bibx42" id="text.75"/> it could be useful to quantify its variability with climate change. As suggested by <xref ref-type="bibr" rid="bib1.bibx26" id="text.76"/>, this should be taken into account where river-fed aquifers are considered.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Future projections of precipitation and temperature</title>
      <p id="d1e1978">Reliable estimates of the hydrological response and of water availability in the coming decades generally require the implementation of a modelling chain consisting of global climate models (GCMs), which provide climate scenarios for the entire planet, regional climate models (RCMs) nested into global models providing lateral and boundary conditions for the regional simulation and, depending on the resolution which needs to be achieved, further downscaling procedures. At the end of the modelling chain, a hydrological model is thus forced with a high-resolution climatic input to simulate the hydrological response at the scale of interest.
In this study, we used a small multi-member ensemble of the RCA4 RCM, <xref ref-type="bibr" rid="bib1.bibx69" id="paren.77"/> forced by five GCM simulations, able to provide the climatic variables of interest – surface air temperature and precipitation – at a spatial resolution of <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula> km. More detailed analyses of the interplay between several GCMs and RCMs <xref ref-type="bibr" rid="bib1.bibx67" id="paren.78"/> are outside of the operational water management scope of this paper. In this work we proceeded similarly to another recharge study <xref ref-type="bibr" rid="bib1.bibx3" id="paren.79"/> which used four GCMs and one RCM. They concluded that a range of GCMs should be considered for water management planning. The simulation outputs of this RCM from 1970 to 2050 have been analysed, considering two different emission scenarios for future projections among those defined by the IPCC (Intergovernmental Panel on Climate Change, <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx51" id="altparen.80"/>), as described in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>. The model data were<?pagebreak page415?> subsequently interpolated applying the same procedure employed for the OI observational dataset (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>) and adjusted to correct the systematic bias which the model displays with respect to the OI reference climatology in a common time period (1986–2015; see Sect. <xref ref-type="sec" rid="Ch1.S4.SS3"/> for a description of the post-processing procedure).</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>RCA4 regional climate model</title>
      <p id="d1e2017">In the following, we used model simulations of the RCA4 RCM <xref ref-type="bibr" rid="bib1.bibx69" id="paren.81"/> driven by five different GCMs, namely EC–Earth, CNRM–CM5, IPSL–CM5A–MR, HadGEM2–ES and MPI–ESM–LR, which provide lateral and boundary conditions for the regional simulation. Using one single RCM allowed us to obtain an ensemble of reasonably homogeneous simulations at the regional level but representing at the same time model uncertainties in future projections captured by the different large-scale GCMs.
RCA4 is a state-of-the-art RCM which participated in CORDEX, the Coordinated Regional Climate Downscaling Experiment <xref ref-type="bibr" rid="bib1.bibx29" id="paren.82"><named-content content-type="pre"><uri>http://wcrp-cordex.ipsl.jussieu.fr/</uri>, last access: 14 August 2020;</named-content></xref>, sponsored by WCRP (World Climate Research Program), aimed at providing a global coordination of regional climate downscaling activities useful to support climate change adaptation policies. The simulations used in this study, in particular, are part of the EURO-CORDEX initiative (<uri>http://www.euro-cordex.net/</uri>, last access: 14 August 2020), which provides regional climate projections for Europe at two different spatial resolutions, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km (EUR-44, 0.44<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution) and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> km (EUR-11, 0.11<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution). EURO-CORDEX includes a total of seven RCMs nested into several GCMs, whose simulations belong to the most recent Climate Model Intercomparison Project phase 5 <xref ref-type="bibr" rid="bib1.bibx70" id="paren.83"><named-content content-type="pre">CMIP5</named-content></xref>. The RCA4 model was chosen  because, at the time of downloading the data from the CORDEX archive, it was the only RCM providing data at the finest available spatial resolution (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> km) and with sub-daily (3 h) temporal resolution <xref ref-type="bibr" rid="bib1.bibx74" id="paren.84"/>. For a detailed description of the RCA4 model and its validation, please refer to the technical report by <xref ref-type="bibr" rid="bib1.bibx69" id="text.85"/>.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Emission scenarios</title>
      <p id="d1e2102">Future projections provided by climate models are based on a set of assumptions about the future evolution of the society in terms of energetic and technological choices, population growth, land use changes and others, which correspond to possible greenhouse gas emission and concentration pathways in the atmosphere. The fifth IPCC Assessment Report <xref ref-type="bibr" rid="bib1.bibx35" id="paren.86"/> uses four different Representative Concentration Pathway (RCP) scenarios <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx73" id="paren.87"/> to evaluate how climate is likely to change by the end of the 21st century. For this study, two of these scenarios were considered, referred to as RCP4.5 and RCP8.5, as they were the only ones available for the model under consideration. RCP4.5 is a stabilization scenario in which emissions will be stabilized by 2070 and carbon dioxide concentrations in the atmosphere are expected to stabilize at about twice the pre-industrial level by the end of the century. RCP8.5 is an extreme business-as-usual scenario in which greenhouse gas emissions are not expected to stabilize and carbon dioxide concentrations will be more than tripled at the end of the century compared to pre-industrial levels.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>RCM data post-processing</title>
      <?pagebreak page416?><p id="d1e2119">RCA4 simulation outputs were linearly interpolated on the UTM grid at 1 km resolution in the study area using the same method applied to the OI data and illustrated in Sect. <xref ref-type="sec" rid="Ch1.S3"/>. To avoid distortions and artefacts, the data were first mapped with the CDO tool (Climate Data Operators; v. 1.7) on a longitude–latitude grid at 0.001<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution and then projected with GDALwarp (Geospatial Data Abstraction Library; v. 2.1) on the final UTM grid (WGS 84/UTM zone 32 N) at 1 km resolution.
The intrinsic imperfections of climate model parameterizations and the errors in the model initialization are often reflected in an imperfect representation of the observed climate, which can give rise to biases. Model biases must be taken into account when the climate model outputs are used in impact studies, as impacts and feedbacks can be sensitive to the absolute values and the statistical properties of the climatic input. Bias correction methods are usually applied to correct the differences between climate model output and observed climatologies and are different depending on the variable and specific application which is considered <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx46 bib1.bibx47" id="paren.88"/>.
In this study we used an additive correction factor for adjusting the temperature and a multiplicative correction factor for precipitation (a standard procedure for  positive-defined fields) applied pixel by pixel and constant in time, in order to correct the differences in the long-term climatology calculated over a common time period between the simulated  and  observed fields. To this end, we calculated the long-term mean of the historical Euro-CORDEX simulations and of the OI dataset, already interpolated on the UTM grid, in the 30-year-long period from 1986 to 2015. In order to maintain the physical consistency between the minimum temperature and the maximum temperature, and thus avoid possible inversions, the same  correction factor was used for daily minimum and maximum  temperature data, calculated from the average between the daily minimum temperature and the maximum temperatures. The correction factor calculated to correct the model bias in the historical reference period was then applied  to the future simulations. In addition to the bias adjustment, temperatures have been further corrected for the lapse rate, as already done for the OI data, based on <xref ref-type="bibr" rid="bib1.bibx62" id="text.89"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Results and discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Trends in observed data</title>
      <p id="d1e2156">Historical data from 1959 to 2017 were analysed in each river catchment and sub-catchment, aggregating all data previously evaluated at the spatial resolution of 250 m, to find out significant trends both of the water balance terms and of the meteorological variables, for both the hydrological year and the quarterly analysis.</p>
      <p id="d1e2159">A linear regression was performed to calculate the temporal trends.
The goodness-of-fit line was estimated with the coefficient of determination <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and its statistical significance was evaluated considering the <inline-formula><mml:math id="M72" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value at a 5 % level (i.e. 95 % significance) <xref ref-type="bibr" rid="bib1.bibx76" id="paren.90"/>.</p>
<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Hydrological year analysis</title>
      <p id="d1e2190">During the hydrological year, an almost complete snow  melting usually occurs in the considered area. Thus, in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> refers to the whole precipitation amount and <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>AET</mml:mtext></mml:mrow></mml:math></inline-formula> to drainage.
Figure <xref ref-type="fig" rid="Ch1.F3"/> shows the time series from 1959 to 2017 of the daily maximum temperature (in Kelvin, panel a), <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (mm yr<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, panel b), AET (mm yr<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, panel c), and drainage (mm yr<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, panel d), for the Dora Riparia station in Turin as an example. It represents the driest watershed in this study, located in the middle of the study area with a west–east orientation (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). In the Alps, this kind of valley is often characterized by foehn wind, corresponding to dry weather. Other examples in the Alps are Valais, Valle d'Aosta, Valtellina and Val Venosta.</p>
      <p id="d1e2273">Figure <xref ref-type="fig" rid="Ch1.F3"/> reveals that, for this catchment, the daily maximum temperature has increased during the study period, with a statistically significant trend, as in all other catchments. The total precipitation, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, has decreased (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.059</mml:mn></mml:mrow></mml:math></inline-formula>), while AET has increased (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.054</mml:mn></mml:mrow></mml:math></inline-formula>), and drainage has significantly decreased (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.032</mml:mn></mml:mrow></mml:math></inline-formula>). The catchment considered here is in the driest part of the study region, which is also the part where most of the significant trends of precipitation and AET were detected in the data analysis.
The same approach is adopted for all the catchments in the study area. The results are summarized in Table S1 of the Supplement.
For all catchments, hydrological year trends in maximum temperature are positive and statistically significant, ranging between 0.032 and 0.078 K yr<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. AET trends are also positive for all catchments and statistically significant in 14 out of 23 cases. In 13 cases out of 14, they were either in the western mountain Dora Riparia area or in the southern irrigated area.
The finding of an increase in AET is not obvious. <xref ref-type="bibr" rid="bib1.bibx52" id="text.91"/> found a decreasing trend of AET looking at data from a mesocosm experiment. Their results highlight that the hydrological response to climate warming can be attenuated where precipitation is out of phase with the vegetation growing season. Our results refer instead to an area where precipitation and growing season are not markedly out of phase. This can be due to the presence of the irrigated fields in the southern plains, where AET is mostly water-limited and to the forested areas in the western mountain part of the region,  where AET is mostly energy-limited.  <xref ref-type="bibr" rid="bib1.bibx12" id="text.92"/> also found an increase in evapotranspiration under similar conditions, using a land surface model in Great Britain from 1961 to 2015.  In a more theoretical work, <xref ref-type="bibr" rid="bib1.bibx27" id="text.93"/> found AET to be quite unaffected by the imposed climate fluctuations, using the input data from four very different sites. This confirms the large role of spatial variability in the response of water balance to climate change.</p>
      <p id="d1e2347">The map in Fig. <xref ref-type="fig" rid="Ch1.F4"/> represents the spatial distribution of annual actual evapotranspiration. It clearly shows the higher values of AET in the southern part of the region, where the irrigated fields play a major role, highlighting the importance of correctly modelling irrigation, as in the irrigation module implemented in our soil water model. The surface energy budget is heavily  influenced by agricultural water management, and, together with air temperature increase, this leads to higher evapotranspiration average fluxes in comparison to non-irrigated crops.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2355">Hydrological year time series of <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, AET <bold>(c)</bold> and drainage <bold>(d)</bold> along with their trends, <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M87" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values and standard deviations, for the time period from 1959 to 2017, at the Turin cross-section 66 (the location is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>) of Dora Riparia river basin (average at the catchment level). The standard deviation, evaluated considering the detrended time series, provides a quantification of interannual variability.</p></caption>
            <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f03.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2421">Spatial distribution of annual actual evapotranspiration.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f04.png"/>

          </fig>

      <p id="d1e2430">Most catchments exhibit negative precipitation (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) trends, but only five cases display statistically significant trends. Precipitation at all catchments exhibits a high interannual variability (a quantification of interannual variability can be provided by the standard deviation, evaluated considering the detrended time series, shown in Table S1 of the Supplement), in accordance with the results of previous studies in the same area <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx7 bib1.bibx17" id="paren.94"/>. A recent study has shown a<?pagebreak page417?> low-frequency variability in the same historical years of this study for the Alpine region <xref ref-type="bibr" rid="bib1.bibx31" id="paren.95"/>.</p>
      <p id="d1e2450">Drainage shows negative but mostly non-significant trends in all catchments. The seven catchments with significant decreasing trends all belong to the western and driest part of the region
(Dora Riparia catchment). Four of them have significant trends both in <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and AET, two of them have significant trends only in  AET and one has significant trends only in  <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2475">This area is characterized by much lower yearly total precipitation values than the northern one. Long-term climatological values of cumulative yearly precipitation in the western Dora Riparia area are Oulx, 552 mm; Susa, 710 mm; Beaulard, 680 mm; Bardonecchia, 724 mm; and Pragelato, 818 mm; while in the northern and wetter part they are Pont Canavese, 1228 mm; Viu, 1338 mm; and Germagnano, 1342 mm. The southern part is instead characterized by<?pagebreak page418?> the following values: Cumiana, 924 mm, and Moncalieri, 882 mm.</p>
      <p id="d1e2479">To summarize, a slight negative trend is observed for precipitation and drainage over the last 60 years, showing a high spatial and interannual variability, as highlighted by the existing literature <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx30 bib1.bibx45" id="paren.96"/>. In Fig. <xref ref-type="fig" rid="Ch1.F3"/>, the values for the whole Dora Riparia catchment down to Turin are shown. This  western part of the study area can be identified as the driest one, as already observed in a recent work by <xref ref-type="bibr" rid="bib1.bibx11" id="text.97"/>, where decreasing precipitation trends combine with increasing evapotranspiration trends. This can be attributed to  non-water-limited mountain vegetation in combination with increasing temperatures.
Finally, the increasing evapotranspiration trends that characterize the southern part of the study area (due to irrigation by farmers) are not associated with significant decreasing precipitation trends, leading to a non-significant drainage variation over time, even if AET has relatively high values in the southern area (Fig. 4). Thus, in regions such as the one considered in this paper, when focusing on trend analysis, precipitation plays a major role in affecting drainage tendencies.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <label>5.1.2</label><title>Analysis at the quarterly scale</title>
      <p id="d1e2499">The meteorological and hydrological variables at the quarterly timescale provide information on intra-annual variations. Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the trend results (colour code) for all catchments (identified by their ID number in the <inline-formula><mml:math id="M91" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of each panel) and for <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (panel a), rainfall plus snowmelt (panel b), AET (panel c) and drainage (panel d) from 1959 to 2017. The numerical value of the trend is displayed in a cell when it is statistically significant (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). When quarters are considered for the analysis, total precipitation (water input) is defined as the sum of liquid precipitation <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and snowmelt <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2561">Trend slope of all quarters and catchments considered. <bold>(a)</bold> <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> precipitation, <bold>(c)</bold> AET and <bold>(d)</bold> drainage. Trend slope is specified if significant at a 5 % level. When quarters are considered, the precipitation is represented by the sum of liquid precipitation <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and melted snow <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f05.png"/>

          </fig>

      <p id="d1e2616"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shows positive and statistically significant trends in all catchments and quarters in the period 1959–2017, with values between 0.022 and 0.086 K yr<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The increase in the daily maximum temperature is more evident in winter (first quarter) and autumn (fourth quarter).
The time series of actual evapotranspiration show positive and significant trends in the majority of catchments and quarters, indicating an overall increase of AET in the entire study area. AET has a greater increase in the summer quarter (JAS).  Positive trends in the first quarter are consistent with those observed for <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, both suggesting a possible anticipation of the growing season.</p>
      <p id="d1e2653">While historical yearly precipitation trends are overall negative, the quarterly analysis shows a significant decrease of precipitation in the first and second quarters, confirming that precipitation trends in north-western Italy depend on the considered temporal aggregation <xref ref-type="bibr" rid="bib1.bibx13" id="paren.98"/>.
The drainage trend analysis shows an overall reduction in the first and second quarters, with larger decreases in AMJ, but significant only for six watersheds, again in the western driest part of the region. The third and fourth quarters show slight positive non-significant trends.</p>
      <p id="d1e2659">A visual comparison between yearly and quarterly analysis is shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/>, where precipitation (panel a) and drainage (panel b) trends are displayed over the whole study area. This figure clearly shows again the spatial pattern of hydrological changes, with negative trends in both precipitation plus snowmelt and discharge in spring. The dry western area is mainly represented by the Dora Riparia valley.
Beside the spatial issue, the quarterly results show the importance of the time variability of precipitation. It confirms the importance of the computation at the daily scale <xref ref-type="bibr" rid="bib1.bibx32" id="paren.99"/>. <xref ref-type="bibr" rid="bib1.bibx48" id="text.100"/> have also shown the sensitivity of drainage to rainfall time variability, and <xref ref-type="bibr" rid="bib1.bibx27" id="text.101"/> stressed the importance of short periods (order of hours or days) with high AET.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2675">Trend slope at the catchment level for all studied catchments. <bold>(a)</bold> Total precipitation and <bold>(b)</bold> drainage. Hydrological year (full dots) and quarterly trend values (four-segments circles) are jointly represented, and trend significance is also indicated. When quarters are considered, the precipitation is the sum of liquid precipitation <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and melted snow <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Topographic shading is based on DEM data from the Risknat project – “Base topografica transfrontaliera, ARPA Piemonte” (<uri>http://webgis.arpa.piemonte.it/ags101free/rest/services/topografia_dati_di_base/Sfumo_Europa_WM/MapServer</uri>, last access: 14 August 2020).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f06.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Mid-century projections of drainage</title>
      <p id="d1e2724">This section reports the results for the future projections of drainage. As already mentioned, this variable allows us to quantify the groundwater resource availability using only<?pagebreak page419?> meteorological variables provided by the climate models.  The simulations have been performed up to 2050 using the ensemble of simulations obtained with the RCM described in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>, at both hydrological year and quarterly scales.</p>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title>Hydrological year analysis</title>
      <p id="d1e2736">Table S2 of the Supplement shows  the drainage trend slopes from 2018 up to 2050 for each catchment in the study area using climate projections under the RCP4.5   and  the RCP8.5 scenarios. Drainage trends in the RCP4.5 scenario are often negative but not statistically significant. These negative trends become stronger and occasionally statistically significant in the more extreme RCP8.5 scenario.</p>
      <p id="d1e2739">As a general statement, also taking into account the variability within the projection ensemble, the rather small values of drainage trends and their limited significance do not suggest a strong variation from a  steady-state yearly drainage condition until 2050, with total precipitation that shows a slight decrease. We find a slight drainage increase with higher precipitation amounts,  decreasing trends with higher daily maximum temperature and, above all, a strong interannual variability (see, as an example, the standard deviation evaluated for the detrended time series shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>).</p>
      <p id="d1e2744">The projections of <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>AET</mml:mtext></mml:mrow></mml:math></inline-formula> (drainage) for two different cross-sections of the study area, the Dora Riparia station in Turin (catchment ID 66) and the Orco station in S. Benigno (catchment ID 109), are shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>.
These two cases were shown because the two catchments are among the largest ones (as shown in Table S1 of the Supplement, 1243 and 829 km<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively), and they represent, respectively, the drier (western) and the wetter (northern) parts of the region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2776">Yearly drainage projections (RCP4.5 scenario in green and RCP8.5 scenario in red) for two different cross-sections (Dora Riparia in Torino, cross-section 66, and Orco in San Benigno, cross-section 109) of the studied area. Each row corresponds to the results obtained with one GCM driving the RCA4 RCM. The slope of the regression line, the coefficient of determination <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M107" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value and the standard deviation evaluated for the detrended time series are also indicated.</p></caption>
            <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/407/2022/hess-26-407-2022-f07.png"/>

          </fig>

      <p id="d1e2803">The overall results at yearly timescale can be summarized as follows:
<list list-type="bullet"><list-item>
      <p id="d1e2808"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shows positive trends that are almost always significant for all model realizations and both scenarios.</p></list-item><list-item>
      <p id="d1e2822"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has either positive or negative trends (according to the different GCMs and scenarios), rarely significant. In particular, RCA4 driven by the CNRM-CM5 and MPI–ESM–LR models shows positive trends for all catchments and scenarios. RCA4 driven by EC-Earth shows negative trends in all catchments when the RCP4.5<?pagebreak page421?> scenario is considered and positive trends for the RCP8.5 scenario. Finally, RCA4 driven by IPSL–CM5A–MR and HadGEM2–ES shows negative trends in the whole study area for both the RCP4.5 and RCP8.5 scenarios.</p></list-item><list-item>
      <p id="d1e2836">AET has either positive and negative trends, rarely significant. In detail, considering the RCP4.5 scenario, RCA4 driven by the HadGEM2–ES and MPI–ESM–LR models shows positive trends in the whole study area; when driven by EC-Earth and IPSL–CM5A–MR it shows negative trends in almost all catchments, and when driven by CNRM-CM5, it shows spatial heterogeneity (only Malone, Sangone, Chisola and Orco primary catchments have positive trends). Considering the RCP8.5 scenario, RCA4 driven by CNRM-CM5, EC-Earth and MPI–ESM–LR shows positive trends in the whole study area that are almost always significant for the case of the CNRM-CM5 model. RCA4 driven by IPSL–CM5A–MR has negative trends for all catchments, while RCA4 driven by HadGEM2–ES shows<?pagebreak page422?> negative trends only in Banna, Chisola, Malone and Sangone primary catchments.</p></list-item><list-item>
      <p id="d1e2840">There are slight positive drainage trends with higher precipitation amounts, negative trends with higher <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and high interannual variability.</p></list-item></list>
To summarize, we observe a large variability between the different projections, as also found in <xref ref-type="bibr" rid="bib1.bibx20" id="text.102"/> and in <xref ref-type="bibr" rid="bib1.bibx54" id="text.103"/>, with a much less clear pattern in spatial variability if compared with the historical data trend evaluations.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>Quarterly analysis</title>
      <p id="d1e2869">Projections of drainage evaluated at the seasonal timescale show again a large variability within the ensemble of projections. However, a general tendency to drainage increase in the first quarter and to drainage decrease in the third and fourth quarters, JAS and OND, emerges.
Tables S3–S6 of the Supplement show the drainage trend (expressed in mm per quarter per year) in the four quarters.</p>
      <p id="d1e2872">In the first quarter (JFM), the models mostly agree in their indication of a drainage increase up to 2050 over the whole study area, with a wider agreement for RCP4.5 (four out of five models concur in all catchments).
In the second quarter (AMJ), in all river basins, at least three out of five models estimate a drainage decrease for the RCP8.5 scenario, not for RCP4.5.
In the third (three out of five models) and fourth (four out of five models) quarters, an overall tendency of drainage decrease in the whole study area for RCP4.5 is evident.</p>
      <p id="d1e2875">For the other meteoclimatic and water balance variables, at quarterly timescale we can report the following:
<list list-type="bullet"><list-item>
      <p id="d1e2880"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shows positive trends in all quarters, almost always significant for all models and scenarios.</p></list-item><list-item>
      <p id="d1e2894">In all quarters, both rainfall plus snowmelt <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>  and rainfall (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) have both positive and negative trends, rarely significant. Rainfall has almost everywhere a weak positive trend in the first quarter, rarely significant. Snowfall shows broad negative trends, almost always significant.</p></list-item><list-item>
      <p id="d1e2920">AET shows broad positive trends in the first and second quarters, despite some differences between the models. In the third quarter, an overall decreasing tendency can be observed, while in the fourth quarter, trend slopes have values close to zero.</p></list-item></list>
<xref ref-type="bibr" rid="bib1.bibx68" id="text.104"/> also found a major role of the time variability of precipitation in recharge projections for a catchment in northern Switzerland. <xref ref-type="bibr" rid="bib1.bibx41" id="text.105"/> indicate changes in long-term drainage, but they recall the limitations in the ability of current generation coupled climate models to capture the key drivers of persistent weather extremes.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e2940">Assessing the impacts of climate change on groundwater resources represents a priority in water management, besides being an important scientific challenge.
In this framework, a proactive engagement of stakeholders is still lacking to a large part, and stakeholders are mainly considered to be final users who download pre-computed decision-relevant scientific information in order to develop and apply adaptation or mitigation strategies.
In this study a stakeholder-driven research study was carried out to quantify the role of groundwater in an area  providing water to about 2.3 million people. This area is characterized by a very large spatial variability of precipitation, due to the proximity of high mountains and of the sea.</p>
      <p id="d1e2943">This work quantifies the trends of precipitation, temperature and actual evapotranspiration in order to estimate the trend of drainage as a proxy for the water available for drinking purposes. The analyses have been performed both at the hydrological year and at the quarterly timescales. We analysed past and future conditions, using a historical climate dataset providing minimum and maximum daily air temperature and precipitation data for the period 1959–2017 and future projections from a multi-member ensemble of a regional climate model up to 2050, in order to be compliant with the time frame of water management objectives.</p>
      <p id="d1e2946">As suggested by <xref ref-type="bibr" rid="bib1.bibx71" id="text.106"/>, the role of irrigated agriculture is considered.  In such a context, irrigation, that significantly contributes to the increase of actual evapotranspiration as a consequence of the air temperature increase, was simulated in a novel way. More specifically, the results of field studies with both surface and sprinkler irrigation methods were used, combining them with crop and irrigation regional databases.
AET has its greatest increase in summer, while in the first 3 months of the year, there is a consistent increase of both <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and AET, suggesting a possible anticipation of the growing season.
Regarding drainage, our analysis revealed a very strong interannual variability in the historical period, as well as remarkable spatial differences, i.e. across the different  catchments. It was found that the driest part of the region (the Dora Riparia valley) shows significant negative precipitation and drainage trends, both yearly and from January to June, confirming the seasonal variations found by <xref ref-type="bibr" rid="bib1.bibx26" id="text.107"/> and giving interesting hints for  other dry climate valleys in the Alps. The increasing trend of yearly actual evapotranspiration is positive for all catchments and statistically significant in 14 out of 23 cases, namely both in the Dora Riparia valley and in the southern irrigated area. This quantity, together with the relevant interannual variability of precipitation, has to be monitored in the future for its potential effects on drainage. Interestingly, only the Dora Riparia valley and the most western part of Pellice catchment (cross-section 39) show significant negative trends for drainage, combining a significant decrease of precipitation and increase of AET due to mountain<?pagebreak page423?> non-water-limited vegetation. The significant increasing trend of AET due to irrigation of the southern irrigated plain area led to a non-significant drainage because it was not combined with a significant decreasing of precipitation.</p>
      <p id="d1e2966">As for the future projections, there is a large inter-model variability, as in <xref ref-type="bibr" rid="bib1.bibx20" id="text.108"/> and in <xref ref-type="bibr" rid="bib1.bibx54" id="text.109"/>, of all hydrological variables, which is evident for all catchments, and almost no significant trends are present. This last result is in line with <xref ref-type="bibr" rid="bib1.bibx30" id="text.110"/> for this part of Europe.
Also interestingly, the future scenarios do not reproduce the spatial variability of the historical analyses, although the soil and irrigation model used was the same.</p>
      <p id="d1e2979">This study constitutes a knowledge basis which aids a better informed management, infrastructural and supply decisions in the considered study area, with a methodology that could also be applied in other areas in the world. In the Dora Riparia area, a new drinking water aqueduct (70 km long, 800 L s<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> discharge and EUR 130 million cost) has been built to provide water from an existing hydroelectric reservoir at 1600 m a.s.l., close to the border with France, down to Turin <xref ref-type="bibr" rid="bib1.bibx66" id="paren.111"/>. It will allow continued pumping from the Dora Riparia aquifer to be avoided, which has a negative trend of drainage and has so far provided drinking water  to 27 municipalities. A complementary hydraulic research study has been performed by the Polytechnic of Turin <xref ref-type="bibr" rid="bib1.bibx28" id="paren.112"/>. The characteristics of spatial and temporal variability of aquifer recharge found in this paper will be of interest for other European areas, particularly in the Mediterranean area and in the Alps, where multiple anthropogenic pressures act on groundwater resources and where climate change will exacerbate competition between different users.
Finally, climate-change-related spatial variability of precipitation has been similarly shown in a recent work about European floods for the period 1960–2010 <xref ref-type="bibr" rid="bib1.bibx11" id="paren.113"/>. Even if that is a larger scale study, it is possible to see a decreasing trend for Dora Riparia,  to be compared to a slightly increasing trend for the rest of northern Italy, a behaviour similar to the one found in this work.
The outcomes of this paper reinforce the findings of two different precipitation regimes over Europe, the Mediterranean and the continental one. Both can be found in our study area, and the Dora Riparia valley seems to be the bridge between them.</p>
      <p id="d1e3003">In this research, climate scientists, hydrologists, agricultural and soil scientists worked together with the experts from the local water utility to assess the water potential of the study area and better understand the role of groundwater in the future provision of water to the community. The approach followed is tailored to stakeholder needs, and the outcomes of the study are intended to drive or support local policies, in a general context which stimulated and supported participatory planning, driven by state-of-the art climate information and projections. Our results will be integrated in the definition and refinement of the study-area long-term guidelines and strategic development for groundwater resources protection and infrastructural provision and planning. It will be a part of a wider effort to strengthen good water resource management and governance.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3010">The derived datasets presented in this study can be obtained upon request to the corresponding author. Post-processed data are reproducible following the detailed descriptions of Sects. <xref ref-type="sec" rid="Ch1.S2"/> and <xref ref-type="sec" rid="Ch1.S3"/> and are available upon request to the authors.
All other datasets cited in the text can be retrieved following the instructions in the relevant citations. In particular: The ARPA Piemonte NWIOI dataset is available at <uri>http://www.arpa.piemonte.it/rischinaturali/tematismi/clima/confronti-storici/dati/dati.html</uri> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.114"/>; the SRTM 90 m DEM Digital Elevation Database is available at <uri>http://srtm.csi.cgiar.org</uri> <xref ref-type="bibr" rid="bib1.bibx38" id="paren.115"/>; the Regione Piemonte Anagrafe agricola – data warehouse is available at: <uri>https://servizi.regione.piemonte.it/catalogo/anagrafe-agricola-data-warehouse</uri> <xref ref-type="bibr" rid="bib1.bibx58" id="paren.116"/>; the Regione Piemonte Bonifica e Irrigazione (SIBI) is available at <uri>https://www.regione.piemonte.it/web/temi/agricoltura/agroambiente-meteo-suoli/bonifica-irrigazione-sibi</uri> <xref ref-type="bibr" rid="bib1.bibx59" id="paren.117"/>; the Regione Piemonte BDTRE is available at <uri>https://www.geoportale.piemonte.it/geonetwork/srv/ita/catalog.search#/metadata/r_piemon:94379297-e72a-41f8-918d-f497a956eb39</uri> <xref ref-type="bibr" rid="bib1.bibx60" id="paren.118"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3049">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/hess-26-407-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/hess-26-407-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3058">All the authors conceived the study. EP and JvH provided and preprocessed the meteoclimatic data. GM, GV, MP, DC, DG, IB and SF performed and analysed the hydrological simulations and prepared some of the figures. EB and SF analysed the results. EB and IB prepared the figures and EB all the tables. EB, EP, JvH, AP and SF wrote the paper with support from all the authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3064">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3070">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3076">The authors would like to thank the Risk Responsible Resilience Interdepartmental Centre (R3C) DIST–PoliTO for valuable collaboration and ARPA Piemonte for kind support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3081">This work has been funded by Società Metropolitana Acque Torino S.p.A. Research has been supported in part by “Dipartimento di Eccellenza” DIST department funds and<?pagebreak page424?> “PRIN MIUR 2017SL7ABC_005 WATZON Project” and by the Project of National Interest NextData of the MIUR (Italian Ministry for Education, University and Research).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3088">This paper was edited by Günter Blöschl and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{{Agnese et~al.(2012)}}?><label>Agnese et al.(2012)</label><?label Ag12?><mixed-citation>Agnese, C., Baiamonte, G., Cammalleri, C., Cat Berro, D., Ferraris, S., and Mercalli, L.: Statistical analysis of inter-arrival times of rainfall events for Italian Sub-Alpine and Mediterranean areas, Adv. Sci. Res., 8, 171–177, <ext-link xlink:href="https://doi.org/10.5194/asr-8-171-2012" ext-link-type="DOI">10.5194/asr-8-171-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{{Aguilar et~al.(2010)}}?><label>Aguilar et al.(2010)</label><?label Agu10?><mixed-citation>Aguilar, C., Herrero, J., and Polo, M. J.: Topographic effects on solar radiation distribution in mountainous watersheds and their influence on reference evapotranspiration estimates at watershed scale, Hydrol. Earth Syst. Sci., 14, 2479–2494, <ext-link xlink:href="https://doi.org/10.5194/hess-14-2479-2010" ext-link-type="DOI">10.5194/hess-14-2479-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{{Allen et~al.(2010)}}?><label>Allen et al.(2010)</label><?label All10?><mixed-citation>Allen, D., Cannon, A., Toews, M., and Scibek, J. Variability in simulated recharge using different GCMs, Water Resour. Res., 46, <ext-link xlink:href="https://doi.org/10.1029/2009WR008932" ext-link-type="DOI">10.1029/2009WR008932</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{{Allen et~al.(1998)}}?><label>Allen et al.(1998)</label><?label All98?><mixed-citation>
Allen, R., Pereira, L., Raes, D., and Smith, M.: FAO irrigation and
drainage paper No. 56, Food and Agriculture
Organization of the United Nations, Tech. Rep. 56, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{{{ARPA Piemonte}(2010{\natexlab{a}})}}?><label>ARPA Piemonte(2010a)</label><?label ARPA10a?><mixed-citation>ARPA Piemonte: NWIOI daily data, Version 2.1, data updated daily, Rischi Naturali Archive Center [data set], available at:
<uri>http://www.arpa.piemonte.it/rischinaturali/tematismi/clima/confronti-storici/dati/dati.html</uri>
(last access: 14 August 2020), 2010a.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{{{ARPA Piemonte}(2010{\natexlab{b}})}}?><label>ARPA Piemonte(2010b)</label><?label ARPA10b?><mixed-citation>ARPA Piemonte: Metodologia dell'Optimal Interpolation, Tech. rep., Arpa
Piemonte, Dipartimento Sistemi Previsionali, available at:
<uri>http://rsaonline.arpa.piemonte.it/meteoclima50/pdf/metodologia.pdf</uri>
(last access: 14 August 2020), 2010b.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{{Baiamonte et~al.(2019)}}?><label>Baiamonte et al.(2019)</label><?label Baia19?><mixed-citation>Baiamonte, G., Mercalli, L., Cat-Berro, D., Agnese, C., and Ferraris, S.:
Modelling the frequency distribution of interarrival times from daily
precipitation time-series in North-West Italy, Hydrol. Res., 50, 339–357,
<ext-link xlink:href="https://doi.org/10.2166/nh.2018.042" ext-link-type="DOI">10.2166/nh.2018.042</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{{Bastiancich et~al.(2021)}}?><label>Bastiancich et al.(2021)</label><?label Bast21?><mixed-citation>Bastiancich, L., Lasagna, M., Mancini, S., Falco, M., and Luca, D. A. D.:
Temperature and discharge variations in natural mineral water springs due to
climate variability: a case study in the Piedmont Alps (NW Italy),
Environ. Geochem. Health, 1-24, <ext-link xlink:href="https://doi.org/10.1007/s10653-021-00864-8" ext-link-type="DOI">10.1007/s10653-021-00864-8</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx9"><?xmltex \def\ref@label{{Baudena et~al.(2012)}}?><label>Baudena et al.(2012)</label><?label Bau12?><mixed-citation>Baudena, M., Bevilacqua, I., Canone, D., Ferraris, S., Previati, M., and
Provenzale, A.: Soil water dynamics at a midlatitude test site: Field
measurements and box modeling approaches, J. Hydrol., 414–415,
329–340, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2011.11.009" ext-link-type="DOI">10.1016/j.jhydrol.2011.11.009</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{{Bertrand et~al.(2014)}}?><label>Bertrand et al.(2014)</label><?label Ber14?><mixed-citation>Bertrand, G., Siergieiev, D., Ala-Aho, P., and Rossi, P.: Environmental tracers
and indicators bringing together groundwater, surface water and
groundwater-dependent ecosystems: importance of scale in choosing relevant
tools, Environ. Earth Sci., 72, 813–827, <ext-link xlink:href="https://doi.org/10.1007/s12665-013-3005-8" ext-link-type="DOI">10.1007/s12665-013-3005-8</ext-link>,
2014.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{{Bl{\"{o}}schl et~al.(2019)}}?><label>Blöschl et al.(2019)</label><?label Blo19?><mixed-citation>Blöschl, G., Hall, J., Viglione, A., Perdigão, R. A. P., Parajka,
J., Merz, B., Lun, D., Arheimer, B., Aronica, G. T., Bilibashi, A.,
Boháč, M., Bonacci, O., Borga, M., Čanjevac, I.,
Castellarin, A., Chirico, G. B., Claps, P., Frolova, N., Ganora, D.,
Gorbachova, L., Gül, A., Hannaford, J., Harrigan, S., Kireeva, M.,
Kiss, A., Kjeldsen, T. R., Kohnová, S., Koskela, J. J., Ledvinka, O.,
Macdonald, N., Mavrova-Guirguinova, M., Mediero, L., Merz, R., Molnar, P.,
Montanari, A., Murphy, C., Osuch, M., Ovcharuk, V., Radevski, I., Salinas,
J. L., Sauquet, E., Šraj, M., Szolgay, J., Volpi, E., Wilson, D.,
Zaimi, K., and Živković, N.: Changing climate both increases and
decreases European river floods, Nature, 573, 108–111,
<ext-link xlink:href="https://doi.org/10.1038/s41586-019-1495-6" ext-link-type="DOI">10.1038/s41586-019-1495-6</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{{Blyth et~al.(2018)}}?><label>Blyth et al.(2018)</label><?label Bly18?><mixed-citation>Blyth, E. M., Martinez-de la Torre, A., and Robinson, E. L.: Trends in evapotranspiration and its drivers in Great Britain: 1961 to 2015, Hydrol. Earth Syst. Sci. Discuss. [preprint], <ext-link xlink:href="https://doi.org/10.5194/hess-2018-153" ext-link-type="DOI">10.5194/hess-2018-153</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{{Brunetti et~al.(2006)}}?><label>Brunetti et al.(2006)</label><?label Brun06?><mixed-citation>Brunetti, M., Maugeri, M., Nanni, T., Auer, I., Bohm, R., and Schoner, W.:
Precipitation variability and changes in the greater Alpine region over the
1800-2003 period, J. Geophys. Res.-Atmos., 111, D11107,
<ext-link xlink:href="https://doi.org/10.1029/2005JD006674" ext-link-type="DOI">10.1029/2005JD006674</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{{Canone et~al.(2015)}}?><label>Canone et al.(2015)</label><?label Can15?><mixed-citation>
Canone, D., Previati, M., Bevilacqua, I., Salvai, L., and Ferraris, S.: Field
measurements based model for surface irrigation efficiency assessment,
Agric. Water Manage., 156, 30–42, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{{Canone et~al.(2016)}}?><label>Canone et al.(2016)</label><?label Can16?><mixed-citation>Canone, D., Previati, M., and Ferraris, S.: Evaluation of stem-flow effects on
the spatial distribution of soil moisture using TDR monitoring and an
infiltration model, Asce J. Irrig. Drain. Eng., 143,
04016075–1–04016075–14, <ext-link xlink:href="https://doi.org/10.1061/(ASCE)IR.1943-4774.0001120" ext-link-type="DOI">10.1061/(ASCE)IR.1943-4774.0001120</ext-link>,
2016.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{{CH2018-Project-Team(2018)}}?><label>CH2018-Project-Team(2018)</label><?label CH2018?><mixed-citation>
CH2018 Project Team: CH2018 – Climate Scenarios for Switzerland, Technical Report, National Centre for Climate Services, Zurich,
ISBN 978-3-9525031-4-0, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{{Ciccarelli et~al.(2008)}}?><label>Ciccarelli et al.(2008)</label><?label Cicca08?><mixed-citation>Ciccarelli, N., von Hardenberg, J., Provenzale, A., Ronchi, C., Vargiu, A., and
Pelosini, R.: Climate variability in north-western Italy during the second
half of the 20th century, Global Planet. Change, 63, 185–195,
<ext-link xlink:href="https://doi.org/10.1016/j.gloplacha.2008.03.006" ext-link-type="DOI">10.1016/j.gloplacha.2008.03.006</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{{Condon et~al.(2020)}}?><label>Condon et al.(2020)</label><?label Con20?><mixed-citation>Condon, L., Atchley, A., and Maxwell, R.: Evapotranspiration depletes
groundwater under warming over the contiguous United States, Nat.
Commun., 11, 873, 1–8, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-14688-0" ext-link-type="DOI">10.1038/s41467-020-14688-0</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{{Confortola et~al.(2013)}}?><label>Confortola et al.(2013)</label><?label Conf13?><mixed-citation>Confortola, G., Soncini, A., and  Bocchiola, D.: Climate change will affect hydrological regimes in the Alps, J. Alp. Res., 101-3, <ext-link xlink:href="https://doi.org/10.4000/rga.2176" ext-link-type="DOI">10.4000/rga.2176</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{{Crosbie et~al.(2013)}}?><label>Crosbie et al.(2013)</label><?label Cro13?><mixed-citation>Crosbie, R., Scanlon, B., Mpelasoka, F., Reedy, R., and Gates, J.: Potential
climate change effects on groundwater recharge in the High Plains
Aquifer, USA, Water Resour. Res., 49, 3936–3951,
<ext-link xlink:href="https://doi.org/10.1002/wrcr.20292" ext-link-type="DOI">10.1002/wrcr.20292</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{{De~Luca et~al.(2020)}}?><label>De Luca et al.(2020)</label><?label DeLuca20?><mixed-citation>De Luca, D., Lasagna, M., and Debernardi, L.: Hydrogeology of the western Po
plain (Piedmont, NW Italy), J. Maps, 16, 265–273,
<ext-link xlink:href="https://doi.org/10.1080/17445647.2020.1738280" ext-link-type="DOI">10.1080/17445647.2020.1738280</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx22"><?xmltex \def\ref@label{{Desiato et~al.(2015)}}?><label>Desiato et al.(2015)</label><?label ISPRA15?><mixed-citation>
Desiato, F., Fioravanti, G., Fraschetti, P., Perconti, W., and Piervitali, E.:
Il clima futuro in Italia: analisi delle proiezioni dei modelli regionali.
Stato dell'Ambiente 58/2015, ISPRA, Tech. rep., 2015.</mixed-citation></ref>
      <ref id="bib1.bibx23"><?xmltex \def\ref@label{{DeWalle and Rango(2008)}}?><label>DeWalle and Rango(2008)</label><?label Dew08?><mixed-citation>
DeWalle, D. and Rango, A.: Principles of snow hydrology, Cambridge Univ. Press,
Cambridge, UK, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx24"><?xmltex \def\ref@label{{Doveri et~al.(2016)}}?><label>Doveri et al.(2016)</label><?label Doveri16?><mixed-citation>Doveri, M., Menichini, M., and Scozzari, A.: Protection of groundwater
resources: worldwide regulations, scientific approaches and case study, Springer, Berlin, DEU,
40, 13–30, <ext-link xlink:href="https://doi.org/10.1007/698_2015_421" ext-link-type="DOI">10.1007/698_2015_421</ext-link>, 2016.</mixed-citation></ref>
      <?pagebreak page425?><ref id="bib1.bibx25"><?xmltex \def\ref@label{{Epting et~al.(2018)}}?><label>Epting et al.(2018)</label><?label Ept18?><mixed-citation>Epting, J., Huggenberger, P., Radny, D., Hammes, F., Hollender, J., Page,
R. M., Weber, S., Bänninger, D., and Auckenthaler, A.: Spatiotemporal
scales of river-groundwater interaction – The role of local interaction
processes and regional groundwater regimes, Sci Total Environ., 618,
1224–1243, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2017.09.219" ext-link-type="DOI">10.1016/j.scitotenv.2017.09.219</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx26"><?xmltex \def\ref@label{{Epting et~al.(2021)}}?><label>Epting et al.(2021)</label><?label EPTING2021100071?><mixed-citation>Epting, J., Michel, A., Affolter, A., and Huggenberger, P.: Climate change
effects on groundwater recharge and temperatures in Swiss alluvial aquifers,
J. Hydrol., 11, 100071, <ext-link xlink:href="https://doi.org/10.1016/j.hydroa.2020.100071" ext-link-type="DOI">10.1016/j.hydroa.2020.100071</ext-link>,
2021.</mixed-citation></ref>
      <ref id="bib1.bibx27"><?xmltex \def\ref@label{{Fatichi and Ivanov(2014)}}?><label>Fatichi and Ivanov(2014)</label><?label Fat14?><mixed-citation>Fatichi, S. and Ivanov, V.: Interannual variability of evapotranspiration and
vegetation productivity, Water Resour. Res., 50, 3275–3294,
<ext-link xlink:href="https://doi.org/10.1002/2013WR015044" ext-link-type="DOI">10.1002/2013WR015044</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx28"><?xmltex \def\ref@label{{Fellini et~al.(2018)}}?><label>Fellini et al.(2018)</label><?label Fel18?><mixed-citation>Fellini, S., Vesipa, R., Boano, F., and Ridolfi, L.: Multipurpose Design of the
Flow-Control System of a Steep Water Main, J. Water Resour.
Plan. Manag. ASCE, 144, 05017018-1, <ext-link xlink:href="https://doi.org/10.1061/(ASCE)WR.1943-5452.0000867" ext-link-type="DOI">10.1061/(ASCE)WR.1943-5452.0000867</ext-link>,
2018.</mixed-citation></ref>
      <ref id="bib1.bibx29"><?xmltex \def\ref@label{{Giorgi et~al.(2009)}}?><label>Giorgi et al.(2009)</label><?label Gio09?><mixed-citation>
Giorgi, F., Jones, C., and Asrar, G.: Addressing climate information needs at
the regional level: the CORDEX framework, World Meteorological
Organization (WMO) Bulletin, 58, 175, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx30"><?xmltex \def\ref@label{{Gudmundsson et~al.(2017)}}?><label>Gudmundsson et al.(2017)</label><?label Gud17?><mixed-citation>Gudmundsson, L., Seneviratne, S., and Zhang, X.: Anthropogenic climate change
detected in European renewable freshwater resources, Nat. Climate Change, 7,
813–817, <ext-link xlink:href="https://doi.org/10.1038/NCLIMATE3416" ext-link-type="DOI">10.1038/NCLIMATE3416</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx31"><?xmltex \def\ref@label{{Haslinger et~al.(2021)}}?><label>Haslinger et al.(2021)</label><?label Has21?><mixed-citation>Haslinger, K., Hofstatter, M., Schoener, W., and Bloeschl, G.: Changing summer
precipitation variability in the Alpine region: on the role of scale
dependent atmospheric drivers, Clim. Dynam.,  57, 1009–1021,
<ext-link xlink:href="https://doi.org/10.1007/s00382-021-05753-5" ext-link-type="DOI">10.1007/s00382-021-05753-5</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx32"><?xmltex \def\ref@label{{Healy(2010)}}?><label>Healy(2010)</label><?label Hea10?><mixed-citation>
Healy, R. W.: Estimating groundwater recharge, Cambridge, Cambridge, UK, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx33"><?xmltex \def\ref@label{{Hempel et~al.(2013)}}?><label>Hempel et al.(2013)</label><?label Hem13?><mixed-citation>Hempel, S., Frieler, K., Warszawski, L., Schewe, J., and Piontek, F.: A trend-preserving bias correction – the ISI-MIP approach, Earth Syst. Dynam., 4, 219–236, <ext-link xlink:href="https://doi.org/10.5194/esd-4-219-2013" ext-link-type="DOI">10.5194/esd-4-219-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx34"><?xmltex \def\ref@label{{IPCC(2007)}}?><label>IPCC(2007)</label><?label Parry07?><mixed-citation>
IPCC: Climate Change 2007: Impacts, Adaptation and Vulnerability. Contribution of Working Group II to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Parry, M. L., Canziani, O. F., Palutikof, J. P., van der Linden, P. J., and
Hanson, C. E., Cambridge University Press, Cambridge, UK, ISBN 978 0521 88010-7, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx35"><?xmltex \def\ref@label{{IPCC(2013)}}?><label>IPCC(2013)</label><?label IPCC13?><mixed-citation>IPCC: Climate Change 2013: The Physical Science Basis. Contribution of Working
Group I to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, Cambridge University Press, Cambridge, United Kingdom and New
York, NY, USA, <ext-link xlink:href="https://doi.org/10.1017/CBO9781107415324" ext-link-type="DOI">10.1017/CBO9781107415324</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx36"><?xmltex \def\ref@label{{IPCC(2014)}}?><label>IPCC(2014)</label><?label IPCC14?><mixed-citation>
IPCC: Climate Change 2014: Synthesis Report. Contribution of Working Groups I,
II, and III to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, IPCC, Geneva, Switzerland, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx37"><?xmltex \def\ref@label{{IPLA(2007)}}?><label>IPLA(2007)</label><?label Ipla07?><mixed-citation>IPLA: Carta dei suoli del Piemonte a scala <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula>, Tech. rep., IPLA,
Regione Piemonte, Firenze, Italy, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx38"><?xmltex \def\ref@label{{Jarvis et~al.(2008)}}?><label>Jarvis et al.(2008)</label><?label Jar08?><mixed-citation>Jarvis, A., Guevara, E., Reuter, H., and Nelson, A.: Hole-filled SRTM
for the globe: version 4: data grid, published by CGIAR-CSI on 19 August
2008, CGIAR-CSI SRTM 90m Database [data set], available at:
(<uri>http://srtm.csi.cgiar.org</uri>, last access: 14 August 2020), 2008.</mixed-citation></ref>
      <ref id="bib1.bibx39"><?xmltex \def\ref@label{{Jim{\'{e}}nez~Cisneros et~al.(2014)}}?><label>Jiménez Cisneros et al.(2014)</label><?label Jim14?><mixed-citation>
Jiménez Cisneros, B., Oki, T., Arnell, N., Benito, G., Cogley, J., Doll,
P., Jiang, T., and Mwakalila, S.: Freshwater resources, Cambridge University
Press, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx40"><?xmltex \def\ref@label{{Kalbus et~al.(2006)}}?><label>Kalbus et al.(2006)</label><?label Kal06?><mixed-citation>Kalbus, E., Reinstorf, F., and Schirmer, M.: Measuring methods for groundwater – surface water interactions: a review, Hydrol. Earth Syst. Sci., 10, 873–887, <ext-link xlink:href="https://doi.org/10.5194/hess-10-873-2006" ext-link-type="DOI">10.5194/hess-10-873-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx41"><?xmltex \def\ref@label{{Konapala et~al.(2020)}}?><label>Konapala et al.(2020)</label><?label Kon20?><mixed-citation>Konapala, G., Mishra, A. K., Wada, Y., and Mann, M. E.: Climate change will affect  global
water availability through compounding changes in seasonal precipitation and
evaporation, Nat. Commun., 11, 3044, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-16757-w" ext-link-type="DOI">10.1038/s41467-020-16757-w</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx42"><?xmltex \def\ref@label{{Kumar et~al.(2016)}}?><label>Kumar et al.(2016)</label><?label Kum16?><mixed-citation>
Kumar, S., Zwiers, F., Dirmeyer, P., Lawrence, D., Shresta, R., and Werner, A. T.:
Terrestrial contribution to the heterogeneity in hydrological changes under
global warming, Water Resour. Res., 52, 3127–3142, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx43"><?xmltex \def\ref@label{{Lasagna et~al.(2016)}}?><label>Lasagna et al.(2016)</label><?label Las16?><mixed-citation>Lasagna, M., Luca, D. D., and Franchino, E.: Nitrate contamination of
groundwater in the western Po Plain (Italy): the effects of groundwater
and surface water interactions, Environ. Earth Sci., 75, 240,
<ext-link xlink:href="https://doi.org/10.1007/s12665-015-5039-6" ext-link-type="DOI">10.1007/s12665-015-5039-6</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx44"><?xmltex \def\ref@label{{Li et~al.(2015)}}?><label>Li et al.(2015)</label><?label LI2015769?><mixed-citation>Li, B., Rodell, M., and Famiglietti, J. S.: Groundwater variability across
temporal and spatial scales in the central and northeastern U.S., J.
Hydrol., 525, 769–780, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2015.04.033" ext-link-type="DOI">10.1016/j.jhydrol.2015.04.033</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx45"><?xmltex \def\ref@label{{Libertino et~al.(2019)}}?><label>Libertino et al.(2019)</label><?label Lib19?><mixed-citation>Libertino, A., Ganora, D., and Claps, P.: Evidence for increasing rainfall
extremes remains elusive at large spatial scales: the case of Italy,
Geophys. Res. Lett., 46, 7437–7446, <ext-link xlink:href="https://doi.org/10.1029/2019GL083371" ext-link-type="DOI">10.1029/2019GL083371</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx46"><?xmltex \def\ref@label{{Maraun(2013)}}?><label>Maraun(2013)</label><?label Mar13?><mixed-citation>
Maraun, D.: Bias correction, quantile mapping, and downscaling: revisiting the
inflation issue, J. Climate, 26, 2137–2143, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx47"><?xmltex \def\ref@label{{Maraun et~al.(2010)}}?><label>Maraun et al.(2010)</label><?label Mar10?><mixed-citation>Maraun, D., Wetterhall, F., Ireson, A. M., Chandler, R. E., Kendon, E. J., Widmann, M., Brienen, S., Rust, H. W., Sauter, T., Themeßl, M., Chun, K. P., Goodess, C. M., Jones, R. G., Onof, C., Vrac, M., Thiele-Eich, I., and Thiele-Eich, I.: Precipitation downscaling under climate change: Recent
developments to bridge the gap between dynamical models and the end user,
Rev. Geophys., 48, RG3003, <ext-link xlink:href="https://doi.org/10.1029/2009RG000314" ext-link-type="DOI">10.1029/2009RG000314</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx48"><?xmltex \def\ref@label{{Masbruch et~al.(2016)}}?><label>Masbruch et al.(2016)</label><?label Mas16?><mixed-citation>
Masbruch, M., Rumsey, C., Gangopadhyyay, S., Susong, D., and Pruitt, T.:
Analyses of infrequent (quasi-decadal) large groundwater recharge events in
the northern Great basin: their importance for groundwater availability, use,
and management, Water Resour. Res., 52, 7819–7836, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx49"><?xmltex \def\ref@label{{Moeck et~al.(2020)}}?><label>Moeck et al.(2020)</label><?label Moe20?><mixed-citation>Moeck, C., Grech-Cumbo, N., Podgorski, J., Bretzler, A., and Gurdak, J.: A
global-scale dataset of direct natural groundwater recharge rates: a review
of variables, processes and relationships, Sci. Total Environ.,
717, 1–19, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.137042" ext-link-type="DOI">10.1016/j.scitotenv.2020.137042</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx50"><?xmltex \def\ref@label{{Moench et~al.(2003)}}?><label>Moench et al.(2003)</label><?label FAO03?><mixed-citation>
Moench, M., Burke, J., and Moench, Y.: Rethinking the Approach to
Groundwater and Food Security, Tech. Rep. Water Reports 24, Food and
Agriculture Organization of the United Nations, Rome, Italy, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx51"><?xmltex \def\ref@label{{Moss et~al.(2010)}}?><label>Moss et al.(2010)</label><?label Mos10?><mixed-citation>Moss, R. H., Edmonds, J. A., Hibbard, K. A. , Manning, M. R., Rose, S. K., van Vuuren, D. P., Carter, T. R., Emori, S., Kainuma, M., Kram, T., Meehl, G. A., Mitchell, J. F. B., Nakicenovic, N., Riahi, K., Smith, S. J., Stouffer, R. J., Thomson, A. M., Weyant, J. P., and Wilbanks, T. J.: The next generation of scenarios
for climate change research and assessment, Nature, 463, 747–756,
<ext-link xlink:href="https://doi.org/10.1038/nature08823" ext-link-type="DOI">10.1038/nature08823</ext-link>, 2010.</mixed-citation></ref>
      <?pagebreak page426?><ref id="bib1.bibx52"><?xmltex \def\ref@label{{Pangle et~al.(2014)}}?><label>Pangle et al.(2014)</label><?label Pan14?><mixed-citation>Pangle, L., Gregg, J., and McDonnell, J.: Rainfall seasonality and an
ecohydrological feedback offset the potential impact of climate warming on
evapotranspiration and groundwater recharge, Water Resour. Res., 50,
1308–1321, <ext-link xlink:href="https://doi.org/10.1002/2012WR013253" ext-link-type="DOI">10.1002/2012WR013253</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx53"><?xmltex \def\ref@label{{Pavan et~al.(2019)}}?><label>Pavan et al.(2019)</label><?label Pav18?><mixed-citation>Pavan, V., Antolini, G., Barbiero, R., Berni, N., Brunier, F., Cacciamani, C., Cagnati, A., Cazzuli, O., Cicogna, A., De Luigi, C., Di Carlo, E., Francioni, M., Maraldo, L., Marigo, G., Micheletti, S., Onorato, L., Panettieri, E., Pellegrini, U., Pelosini, R., Piccinini, D., Ratto, S., Ronchi, C., Rusca, L., Sofia, S., Stelluti, M., Tomozeiu, R., and Torrigiani Malaspina, T.: High resolution climate
precipitation analysis for north-central Italy, 1961–2015, Clim.
Dynam., 52, 3435–3453, <ext-link xlink:href="https://doi.org/10.1007/s00382-018-4337-6" ext-link-type="DOI">10.1007/s00382-018-4337-6</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx54"><?xmltex \def\ref@label{{Persaud et~al.(2020)}}?><label>Persaud et al.(2020)</label><?label Per20?><mixed-citation>Persaud, E., Levison, J., MacRitchie, S., Berg, S., Parker, B., and Sudicky,
E.: Integrated modelling to assess climate change impacts on groundwater and
surface water in the Great lakes Basin using diverse climate forcing,
J. Hydrol., 584, 1–15, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2020.124682" ext-link-type="DOI">10.1016/j.jhydrol.2020.124682</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx55"><?xmltex \def\ref@label{{Pradier et~al.(2002)}}?><label>Pradier et al.(2002)</label><?label Pra02?><mixed-citation>
Pradier, S., Chong, M., and Roux, F.: Radar observations and numerical modeling
of a precipitation line during MAP IOP 5, Mon. Weather Rev., 130,
2533–2553, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx56"><?xmltex \def\ref@label{{Raco et~al.(2021)}}?><label>Raco et al.(2021)</label><?label Raco21?><mixed-citation>Raco, B., Vivaldo, G., Doveri, M., Menichini, M., Masetti, G., Battaglini, R.,
Irace, A., Fioraso, G., Marcelli, I., and Brussolo, E.: Geochemical,
geostatistical and time series analysis techniques as a tool to achieve the
Water Framework Directive goals: An example from Piedmont region (NW Italy),
J. Geochem. Explor., 229, 106832,
<ext-link xlink:href="https://doi.org/10.1016/j.gexplo.2021.106832" ext-link-type="DOI">10.1016/j.gexplo.2021.106832</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx57"><?xmltex \def\ref@label{{Raffelli et~al.(2017)}}?><label>Raffelli et al.(2017)</label><?label w9090706?><mixed-citation>Raffelli, G., Previati, M., Canone, D., Gisolo, D., Bevilacqua, I., Capello,
G., Biddoccu, M., Cavallo, E., Deiana, R., Cassiani, G., and Ferraris, S.:
Local- and Plot-Scale Measurements of Soil Moisture: Time and Spatially
Resolved Field Techniques in Plain, Hill and Mountain Sites, Water, 9, 706, <ext-link xlink:href="https://doi.org/10.3390/w9090706" ext-link-type="DOI">10.3390/w9090706</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx58"><?xmltex \def\ref@label{{{Regione Piemonte}(2006)}}?><label>Regione Piemonte(2006)</label><?label AnAgr?><mixed-citation>Regione Piemonte: Anagrafe agricola del Piemonte, Regione Piemonte [data set], available at:
<uri>http://www.sistemapiemonte.it/cms/privati/agricoltura/servizi/367-anagrafe-agricola-unica-data-warehouse</uri>
(last access: 14 August 2020), 2006.</mixed-citation></ref>
      <ref id="bib1.bibx59"><?xmltex \def\ref@label{{{Regione Piemonte}(2016)}}?><label>Regione Piemonte(2016)</label><?label SIBI?><mixed-citation>Regione Piemonte: SIBI Sistema Informativo della Bonifica e
Irrigazione, retrieved online from Regional Irrigation Information System
Archive Center, Regione Piemonte [data set], available at:
<uri>https://www.regione.piemonte.it/web/temi/agricoltura/agroambiente-meteo-suoli/bonifica-irrigazione-sibi</uri>
(last access: 14 August 2020), 2016.</mixed-citation></ref>
      <ref id="bib1.bibx60"><?xmltex \def\ref@label{{{Regione Piemonte}(2018{\natexlab{a}})}}?><label>Regione Piemonte(2018a)</label><?label BDTRE?><mixed-citation>Regione Piemonte: BDTRE, Base Dati Territoriale di
Riferimento degli Enti, cartographic reference material, <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula>,
retrieved online from Sistema informativo territoriale e ambientale Archive
Center, Regione Piemonte [data set], available at: <uri>https://www.geoportale.piemonte.it/geonetwork/srv/ita/catalog.search#/metadata/r_piemon:94379297-e72a-41f8-918d-f497a956eb39</uri> (last access: 13 January 2022), 2018a.</mixed-citation></ref>
      <ref id="bib1.bibx61"><?xmltex \def\ref@label{{{Regione Piemonte}(2018{\natexlab{b}})}}?><label>Regione Piemonte(2018b)</label><?label RegP18?><mixed-citation>Regione Piemonte: Piano di Tutela delle Acque – Revisione 2018, Tech. rep.,
Regione Piemonte, Direzione Ambiente, Governo e Tutela del territorio,
Settore Tutela delle Acque, available at:
<uri>https://www.regione.piemonte.it/web/sites/default/files/media/documenti/2019-01/pta2018_tavole_di_piano.pdf</uri>
(last access: 7 May 2021), 2018b.</mixed-citation></ref>
      <ref id="bib1.bibx62"><?xmltex \def\ref@label{{Rolland(2003)}}?><label>Rolland(2003)</label><?label Rol03?><mixed-citation>Rolland, C.: Spatial and seasonal variations of air temperature lapse rates in
Alpine regions, J. Climate, 16, 1032–1046,
<ext-link xlink:href="https://doi.org/10.1175/1520-0442(2003)016&lt;1032:SASVOA&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(2003)016&lt;1032:SASVOA&gt;2.0.CO;2</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx63"><?xmltex \def\ref@label{{Rumsey et~al.(2015)}}?><label>Rumsey et al.(2015)</label><?label Rum15?><mixed-citation>Rumsey, C. A., Miller, M., Susong, D., Tillman, F., and Anning, D.: Regional
scale estimates of baseflow and factors influencing baseflow in the Upper
Colorado River Basin, J. Hydrol.-Regional Studies, 4,
91–107, <ext-link xlink:href="https://doi.org/10.1016/j.ejrh.2015.04.008" ext-link-type="DOI">10.1016/j.ejrh.2015.04.008</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx64"><?xmltex \def\ref@label{{Schaap et~al.(2001)}}?><label>Schaap et al.(2001)</label><?label Sc01?><mixed-citation>Schaap, M., Leij, F., and van Genuchten, M.: Rosetta: a computer program for
estimating soil hydraulic parameters with hierarchical pedotransfer
functions, J. Hydrol., 251, 163–176,
<ext-link xlink:href="https://doi.org/10.1016/S0022-1694(01)00466-8" ext-link-type="DOI">10.1016/S0022-1694(01)00466-8</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx65"><?xmltex \def\ref@label{{Smerdon(2017)}}?><label>Smerdon(2017)</label><?label SMERDON2017125?><mixed-citation>Smerdon, B. D.: A synopsis of climate change effects on groundwater recharge,
J. Hydrol., 555, 125–128, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2017.09.047" ext-link-type="DOI">10.1016/j.jhydrol.2017.09.047</ext-link>,
2017.</mixed-citation></ref>
      <ref id="bib1.bibx66"><?xmltex \def\ref@label{{{Societ\`{a} Metropolitana Acque Torino}(2019)}}?><label>Società Metropolitana Acque Torino(2019)</label><?label SMAT2019?><mixed-citation>Società Metropolitana Acque Torino: Consolidated financial statement and
fiscal year financial statement, Tech. rep., available at:
<uri>https://www.smatorino.it/wp-content/uploads/2020/07/EN-BILANCIO_SMAT_31_12_2019.pdf</uri>
(last access: 9 August 2021), 2019.</mixed-citation></ref>
      <ref id="bib1.bibx67"><?xmltex \def\ref@label{{Sorland et~al.(2018)}}?><label>Sorland et al.(2018)</label><?label Scha18?><mixed-citation>Sorland, S., Schar, C., Luthi, D., and Kjellstrom, E.: Bias patterns and climate
change signals in GCM-RCM model chains, Environ. Res. Lett., 13, 074717,
<ext-link xlink:href="https://doi.org/10.1088/1748-9326/aacc77" ext-link-type="DOI">10.1088/1748-9326/aacc77</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx68"><?xmltex \def\ref@label{{Stoll et~al.(2011)}}?><label>Stoll et al.(2011)</label><?label Sto11?><mixed-citation>Stoll, S., Hendricks Franssen, H. J., Butts, M., and Kinzelbach, W.: Analysis of the impact of climate change on groundwater related hydrological fluxes: a multi-model approach including different downscaling methods, Hydrol. Earth Syst. Sci., 15, 21–38, <ext-link xlink:href="https://doi.org/10.5194/hess-15-21-2011" ext-link-type="DOI">10.5194/hess-15-21-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx69"><?xmltex \def\ref@label{{Strandberg et~al.(2014)}}?><label>Strandberg et al.(2014)</label><?label Str14?><mixed-citation>Strandberg, G., Bärring, L., Hansson, U., Jansson, C., Jones, C.,
Kjellström, E., Kolax, M., M. Kupiainen, M., Nikulin, G., Samuelsson, P.,
Ullerstig, A., and Wang, S.: CORDEX scenarios for Europe from
the Rossby Centre regional climate model RCA4, available at:
<uri>http://urn.kb.se/resolve?urn=urn:nbn:se:smhi:diva-2839</uri> (last access: 14 August 2020), 2014.</mixed-citation></ref>
      <ref id="bib1.bibx70"><?xmltex \def\ref@label{{Taylor et~al.(2012)}}?><label>Taylor et al.(2012)</label><?label Tay12?><mixed-citation>Taylor, K., Stouffer, R., and Meehl, G.: An overview of CMIP5 and the
experiment design, B. Am. Meteorol. Soc., 93,
485–498, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-11-00094.1" ext-link-type="DOI">10.1175/BAMS-D-11-00094.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx71"><?xmltex \def\ref@label{{Taylor et~al.(2013)}}?><label>Taylor et al.(2013)</label><?label Tay13?><mixed-citation>Taylor, R., Scanlon, B., Döll, P., Rodell, M., van Beek, R., Wada, Y., Longuevergne, L., Leblanc, M., Famiglietti, J. S., Edmunds, M., Konikow, L., Green, T. R., Chen, J., Taniguchi, M., Bierkens, M. 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.: Ground water and climate change,
Nat. Clim. Change, 3, 322–329, <ext-link xlink:href="https://doi.org/10.1038/nclimate1744" ext-link-type="DOI">10.1038/nclimate1744</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx72"><?xmltex \def\ref@label{{van~der Gun(2012)}}?><label>van der Gun(2012)</label><?label Gun12?><mixed-citation>
van der Gun, J.: Groundwater and Global Change: Trends, Opportunities
and Challenges, Tech. rep., United Nations Educational, Paris, France,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx73"><?xmltex \def\ref@label{{{v}an Vuuren et~al.(2011)}}?><label>van Vuuren et al.(2011)</label><?label vVu11?><mixed-citation>van Vuuren, D. P., Stehfest, E., den Elzen, M. G. J., Kram, T., van Vliet, J., Deetman, S., Isaac, M., Klein Goldewijk, K., Hof, A., Mendoza Beltran, A., Oostenrijk, R.,  and van Ruijven, B.: RCP2.6: Exploring the  possibility to keep global mean temperature
change below 2 <inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, Clim. Change, 109, 95–116,
<ext-link xlink:href="https://doi.org/10.1007/s10584-011-0152-3" ext-link-type="DOI">10.1007/s10584-011-0152-3</ext-link>, 2011.</mixed-citation></ref>
      <?pagebreak page427?><ref id="bib1.bibx74"><?xmltex \def\ref@label{{{WCRP}(2009)}}?><label>WCRP(2009)</label><?label CORDEX?><mixed-citation>WCRP: CORDEX data access, retrieved online from ESGF
Archive Center, available at: <uri>https://cordex.org/data-access/esgf/</uri> (last access:
14 August 2020), 2009.</mixed-citation></ref>
      <ref id="bib1.bibx75"><?xmltex \def\ref@label{{WHO(2006)}}?><label>WHO(2006)</label><?label WHO06?><mixed-citation>
WHO: Protecting groundwater for health: Managing the quality of
drinking-water sources, IWA Publishing for World Health Organization, ISBN 92 4 154668 9, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx76"><?xmltex \def\ref@label{{Wilks(2011)}}?><label>Wilks(2011)</label><?label Wil11?><mixed-citation>Wilks, D. S.: Statistical Methods in the Atmospheric Sciences, vol. 100,
Academic Press, third edn.,
available at: <uri>http://www.sciencedirect.com/science/bookseries/00746142/100/supp/C</uri> (last access: 14 August 2020),
2011.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx77"><?xmltex \def\ref@label{{WWAP(2015)}}?><label>WWAP(2015)</label><?label WWAP15?><mixed-citation>
WWAP: The United Nations World Water Development Report 2015:
Water for a Sustainable World, Tech. rep., UNESCO, Paris, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx78"><?xmltex \def\ref@label{{Zeinivand and Smedt(2009)}}?><label>Zeinivand and Smedt(2009)</label><?label Zein09?><mixed-citation>
Zeinivand, H. and Smedt, F. D.: Hydrological modeling of snow accumulation and
melting on river basin scale, Water Resour. Manage., 23, 2271–2287,
2009.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Aquifer recharge in the Piedmont Alpine zone: historical trends and future scenarios</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Agnese et al.(2012)</label><mixed-citation>
Agnese, C., Baiamonte, G., Cammalleri, C., Cat Berro, D., Ferraris, S., and Mercalli, L.: Statistical analysis of inter-arrival times of rainfall events for Italian Sub-Alpine and Mediterranean areas, Adv. Sci. Res., 8, 171–177, <a href="https://doi.org/10.5194/asr-8-171-2012" target="_blank">https://doi.org/10.5194/asr-8-171-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Aguilar et al.(2010)</label><mixed-citation>
Aguilar, C., Herrero, J., and Polo, M. J.: Topographic effects on solar radiation distribution in mountainous watersheds and their influence on reference evapotranspiration estimates at watershed scale, Hydrol. Earth Syst. Sci., 14, 2479–2494, <a href="https://doi.org/10.5194/hess-14-2479-2010" target="_blank">https://doi.org/10.5194/hess-14-2479-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Allen et al.(2010)</label><mixed-citation>
Allen, D., Cannon, A., Toews, M., and Scibek, J. Variability in simulated recharge using different GCMs, Water Resour. Res., 46, <a href="https://doi.org/10.1029/2009WR008932" target="_blank">https://doi.org/10.1029/2009WR008932</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Allen et al.(1998)</label><mixed-citation>
Allen, R., Pereira, L., Raes, D., and Smith, M.: FAO irrigation and
drainage paper No. 56, Food and Agriculture
Organization of the United Nations, Tech. Rep. 56, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>ARPA Piemonte(2010a)</label><mixed-citation>
ARPA Piemonte: NWIOI daily data, Version 2.1, data updated daily, Rischi Naturali Archive Center [data set], available at:
<a href="http://www.arpa.piemonte.it/rischinaturali/tematismi/clima/confronti-storici/dati/dati.html" target="_blank"/>
(last access: 14 August 2020), 2010a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>ARPA Piemonte(2010b)</label><mixed-citation>
ARPA Piemonte: Metodologia dell'Optimal Interpolation, Tech. rep., Arpa
Piemonte, Dipartimento Sistemi Previsionali, available at:
<a href="http://rsaonline.arpa.piemonte.it/meteoclima50/pdf/metodologia.pdf" target="_blank"/>
(last access: 14 August 2020), 2010b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Baiamonte et al.(2019)</label><mixed-citation>
Baiamonte, G., Mercalli, L., Cat-Berro, D., Agnese, C., and Ferraris, S.:
Modelling the frequency distribution of interarrival times from daily
precipitation time-series in North-West Italy, Hydrol. Res., 50, 339–357,
<a href="https://doi.org/10.2166/nh.2018.042" target="_blank">https://doi.org/10.2166/nh.2018.042</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bastiancich et al.(2021)</label><mixed-citation>
Bastiancich, L., Lasagna, M., Mancini, S., Falco, M., and Luca, D. A. D.:
Temperature and discharge variations in natural mineral water springs due to
climate variability: a case study in the Piedmont Alps (NW Italy),
Environ. Geochem. Health, 1-24, <a href="https://doi.org/10.1007/s10653-021-00864-8" target="_blank">https://doi.org/10.1007/s10653-021-00864-8</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Baudena et al.(2012)</label><mixed-citation>
Baudena, M., Bevilacqua, I., Canone, D., Ferraris, S., Previati, M., and
Provenzale, A.: Soil water dynamics at a midlatitude test site: Field
measurements and box modeling approaches, J. Hydrol., 414–415,
329–340, <a href="https://doi.org/10.1016/j.jhydrol.2011.11.009" target="_blank">https://doi.org/10.1016/j.jhydrol.2011.11.009</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Bertrand et al.(2014)</label><mixed-citation>
Bertrand, G., Siergieiev, D., Ala-Aho, P., and Rossi, P.: Environmental tracers
and indicators bringing together groundwater, surface water and
groundwater-dependent ecosystems: importance of scale in choosing relevant
tools, Environ. Earth Sci., 72, 813–827, <a href="https://doi.org/10.1007/s12665-013-3005-8" target="_blank">https://doi.org/10.1007/s12665-013-3005-8</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Blöschl et al.(2019)</label><mixed-citation>
Blöschl, G., Hall, J., Viglione, A., Perdigão, R. A. P., Parajka,
J., Merz, B., Lun, D., Arheimer, B., Aronica, G. T., Bilibashi, A.,
Boháč, M., Bonacci, O., Borga, M., Čanjevac, I.,
Castellarin, A., Chirico, G. B., Claps, P., Frolova, N., Ganora, D.,
Gorbachova, L., Gül, A., Hannaford, J., Harrigan, S., Kireeva, M.,
Kiss, A., Kjeldsen, T. R., Kohnová, S., Koskela, J. J., Ledvinka, O.,
Macdonald, N., Mavrova-Guirguinova, M., Mediero, L., Merz, R., Molnar, P.,
Montanari, A., Murphy, C., Osuch, M., Ovcharuk, V., Radevski, I., Salinas,
J. L., Sauquet, E., Šraj, M., Szolgay, J., Volpi, E., Wilson, D.,
Zaimi, K., and Živković, N.: Changing climate both increases and
decreases European river floods, Nature, 573, 108–111,
<a href="https://doi.org/10.1038/s41586-019-1495-6" target="_blank">https://doi.org/10.1038/s41586-019-1495-6</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Blyth et al.(2018)</label><mixed-citation>
Blyth, E. M., Martinez-de la Torre, A., and Robinson, E. L.: Trends in evapotranspiration and its drivers in Great Britain: 1961 to 2015, Hydrol. Earth Syst. Sci. Discuss. [preprint], <a href="https://doi.org/10.5194/hess-2018-153" target="_blank">https://doi.org/10.5194/hess-2018-153</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Brunetti et al.(2006)</label><mixed-citation>
Brunetti, M., Maugeri, M., Nanni, T., Auer, I., Bohm, R., and Schoner, W.:
Precipitation variability and changes in the greater Alpine region over the
1800-2003 period, J. Geophys. Res.-Atmos., 111, D11107,
<a href="https://doi.org/10.1029/2005JD006674" target="_blank">https://doi.org/10.1029/2005JD006674</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Canone et al.(2015)</label><mixed-citation>
Canone, D., Previati, M., Bevilacqua, I., Salvai, L., and Ferraris, S.: Field
measurements based model for surface irrigation efficiency assessment,
Agric. Water Manage., 156, 30–42, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Canone et al.(2016)</label><mixed-citation>
Canone, D., Previati, M., and Ferraris, S.: Evaluation of stem-flow effects on
the spatial distribution of soil moisture using TDR monitoring and an
infiltration model, Asce J. Irrig. Drain. Eng., 143,
04016075–1–04016075–14, <a href="https://doi.org/10.1061/(ASCE)IR.1943-4774.0001120" target="_blank">https://doi.org/10.1061/(ASCE)IR.1943-4774.0001120</a>,
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>CH2018-Project-Team(2018)</label><mixed-citation>
CH2018 Project Team: CH2018 – Climate Scenarios for Switzerland, Technical Report, National Centre for Climate Services, Zurich,
ISBN 978-3-9525031-4-0, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Ciccarelli et al.(2008)</label><mixed-citation>
Ciccarelli, N., von Hardenberg, J., Provenzale, A., Ronchi, C., Vargiu, A., and
Pelosini, R.: Climate variability in north-western Italy during the second
half of the 20th century, Global Planet. Change, 63, 185–195,
<a href="https://doi.org/10.1016/j.gloplacha.2008.03.006" target="_blank">https://doi.org/10.1016/j.gloplacha.2008.03.006</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Condon et al.(2020)</label><mixed-citation>
Condon, L., Atchley, A., and Maxwell, R.: Evapotranspiration depletes
groundwater under warming over the contiguous United States, Nat.
Commun., 11, 873, 1–8, <a href="https://doi.org/10.1038/s41467-020-14688-0" target="_blank">https://doi.org/10.1038/s41467-020-14688-0</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Confortola et al.(2013)</label><mixed-citation>
Confortola, G., Soncini, A., and  Bocchiola, D.: Climate change will affect hydrological regimes in the Alps, J. Alp. Res., 101-3, <a href="https://doi.org/10.4000/rga.2176" target="_blank">https://doi.org/10.4000/rga.2176</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Crosbie et al.(2013)</label><mixed-citation>
Crosbie, R., Scanlon, B., Mpelasoka, F., Reedy, R., and Gates, J.: Potential
climate change effects on groundwater recharge in the High Plains
Aquifer, USA, Water Resour. Res., 49, 3936–3951,
<a href="https://doi.org/10.1002/wrcr.20292" target="_blank">https://doi.org/10.1002/wrcr.20292</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>De Luca et al.(2020)</label><mixed-citation>
De Luca, D., Lasagna, M., and Debernardi, L.: Hydrogeology of the western Po
plain (Piedmont, NW Italy), J. Maps, 16, 265–273,
<a href="https://doi.org/10.1080/17445647.2020.1738280" target="_blank">https://doi.org/10.1080/17445647.2020.1738280</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Desiato et al.(2015)</label><mixed-citation>
Desiato, F., Fioravanti, G., Fraschetti, P., Perconti, W., and Piervitali, E.:
Il clima futuro in Italia: analisi delle proiezioni dei modelli regionali.
Stato dell'Ambiente 58/2015, ISPRA, Tech. rep., 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>DeWalle and Rango(2008)</label><mixed-citation>
DeWalle, D. and Rango, A.: Principles of snow hydrology, Cambridge Univ. Press,
Cambridge, UK, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Doveri et al.(2016)</label><mixed-citation>
Doveri, M., Menichini, M., and Scozzari, A.: Protection of groundwater
resources: worldwide regulations, scientific approaches and case study, Springer, Berlin, DEU,
40, 13–30, <a href="https://doi.org/10.1007/698_2015_421" target="_blank">https://doi.org/10.1007/698_2015_421</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Epting et al.(2018)</label><mixed-citation>
Epting, J., Huggenberger, P., Radny, D., Hammes, F., Hollender, J., Page,
R. M., Weber, S., Bänninger, D., and Auckenthaler, A.: Spatiotemporal
scales of river-groundwater interaction – The role of local interaction
processes and regional groundwater regimes, Sci Total Environ., 618,
1224–1243, <a href="https://doi.org/10.1016/j.scitotenv.2017.09.219" target="_blank">https://doi.org/10.1016/j.scitotenv.2017.09.219</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Epting et al.(2021)</label><mixed-citation>
Epting, J., Michel, A., Affolter, A., and Huggenberger, P.: Climate change
effects on groundwater recharge and temperatures in Swiss alluvial aquifers,
J. Hydrol., 11, 100071, <a href="https://doi.org/10.1016/j.hydroa.2020.100071" target="_blank">https://doi.org/10.1016/j.hydroa.2020.100071</a>,
2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Fatichi and Ivanov(2014)</label><mixed-citation>
Fatichi, S. and Ivanov, V.: Interannual variability of evapotranspiration and
vegetation productivity, Water Resour. Res., 50, 3275–3294,
<a href="https://doi.org/10.1002/2013WR015044" target="_blank">https://doi.org/10.1002/2013WR015044</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Fellini et al.(2018)</label><mixed-citation>
Fellini, S., Vesipa, R., Boano, F., and Ridolfi, L.: Multipurpose Design of the
Flow-Control System of a Steep Water Main, J. Water Resour.
Plan. Manag. ASCE, 144, 05017018-1, <a href="https://doi.org/10.1061/(ASCE)WR.1943-5452.0000867" target="_blank">https://doi.org/10.1061/(ASCE)WR.1943-5452.0000867</a>,
2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Giorgi et al.(2009)</label><mixed-citation>
Giorgi, F., Jones, C., and Asrar, G.: Addressing climate information needs at
the regional level: the CORDEX framework, World Meteorological
Organization (WMO) Bulletin, 58, 175, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Gudmundsson et al.(2017)</label><mixed-citation>
Gudmundsson, L., Seneviratne, S., and Zhang, X.: Anthropogenic climate change
detected in European renewable freshwater resources, Nat. Climate Change, 7,
813–817, <a href="https://doi.org/10.1038/NCLIMATE3416" target="_blank">https://doi.org/10.1038/NCLIMATE3416</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Haslinger et al.(2021)</label><mixed-citation>
Haslinger, K., Hofstatter, M., Schoener, W., and Bloeschl, G.: Changing summer
precipitation variability in the Alpine region: on the role of scale
dependent atmospheric drivers, Clim. Dynam.,  57, 1009–1021,
<a href="https://doi.org/10.1007/s00382-021-05753-5" target="_blank">https://doi.org/10.1007/s00382-021-05753-5</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Healy(2010)</label><mixed-citation>
Healy, R. W.: Estimating groundwater recharge, Cambridge, Cambridge, UK, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Hempel et al.(2013)</label><mixed-citation>
Hempel, S., Frieler, K., Warszawski, L., Schewe, J., and Piontek, F.: A trend-preserving bias correction – the ISI-MIP approach, Earth Syst. Dynam., 4, 219–236, <a href="https://doi.org/10.5194/esd-4-219-2013" target="_blank">https://doi.org/10.5194/esd-4-219-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>IPCC(2007)</label><mixed-citation>
IPCC: Climate Change 2007: Impacts, Adaptation and Vulnerability. Contribution of Working Group II to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Parry, M. L., Canziani, O. F., Palutikof, J. P., van der Linden, P. J., and
Hanson, C. E., Cambridge University Press, Cambridge, UK, ISBN 978 0521 88010-7, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>IPCC(2013)</label><mixed-citation>
IPCC: Climate Change 2013: The Physical Science Basis. Contribution of Working
Group I to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, Cambridge University Press, Cambridge, United Kingdom and New
York, NY, USA, <a href="https://doi.org/10.1017/CBO9781107415324" target="_blank">https://doi.org/10.1017/CBO9781107415324</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>IPCC(2014)</label><mixed-citation>
IPCC: Climate Change 2014: Synthesis Report. Contribution of Working Groups I,
II, and III to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, IPCC, Geneva, Switzerland, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>IPLA(2007)</label><mixed-citation>
IPLA: Carta dei suoli del Piemonte a scala 1:250 000, Tech. rep., IPLA,
Regione Piemonte, Firenze, Italy, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Jarvis et al.(2008)</label><mixed-citation>
Jarvis, A., Guevara, E., Reuter, H., and Nelson, A.: Hole-filled SRTM
for the globe: version 4: data grid, published by CGIAR-CSI on 19 August
2008, CGIAR-CSI SRTM 90m Database [data set], available at:
(<a href="http://srtm.csi.cgiar.org" target="_blank"/>, last access: 14 August 2020), 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Jiménez Cisneros et al.(2014)</label><mixed-citation>
Jiménez Cisneros, B., Oki, T., Arnell, N., Benito, G., Cogley, J., Doll,
P., Jiang, T., and Mwakalila, S.: Freshwater resources, Cambridge University
Press, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Kalbus et al.(2006)</label><mixed-citation>
Kalbus, E., Reinstorf, F., and Schirmer, M.: Measuring methods for groundwater – surface water interactions: a review, Hydrol. Earth Syst. Sci., 10, 873–887, <a href="https://doi.org/10.5194/hess-10-873-2006" target="_blank">https://doi.org/10.5194/hess-10-873-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Konapala et al.(2020)</label><mixed-citation>
Konapala, G., Mishra, A. K., Wada, Y., and Mann, M. E.: Climate change will affect  global
water availability through compounding changes in seasonal precipitation and
evaporation, Nat. Commun., 11, 3044, <a href="https://doi.org/10.1038/s41467-020-16757-w" target="_blank">https://doi.org/10.1038/s41467-020-16757-w</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Kumar et al.(2016)</label><mixed-citation>
Kumar, S., Zwiers, F., Dirmeyer, P., Lawrence, D., Shresta, R., and Werner, A. T.:
Terrestrial contribution to the heterogeneity in hydrological changes under
global warming, Water Resour. Res., 52, 3127–3142, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Lasagna et al.(2016)</label><mixed-citation>
Lasagna, M., Luca, D. D., and Franchino, E.: Nitrate contamination of
groundwater in the western Po Plain (Italy): the effects of groundwater
and surface water interactions, Environ. Earth Sci., 75, 240,
<a href="https://doi.org/10.1007/s12665-015-5039-6" target="_blank">https://doi.org/10.1007/s12665-015-5039-6</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Li et al.(2015)</label><mixed-citation>
Li, B., Rodell, M., and Famiglietti, J. S.: Groundwater variability across
temporal and spatial scales in the central and northeastern U.S., J.
Hydrol., 525, 769–780, <a href="https://doi.org/10.1016/j.jhydrol.2015.04.033" target="_blank">https://doi.org/10.1016/j.jhydrol.2015.04.033</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Libertino et al.(2019)</label><mixed-citation>
Libertino, A., Ganora, D., and Claps, P.: Evidence for increasing rainfall
extremes remains elusive at large spatial scales: the case of Italy,
Geophys. Res. Lett., 46, 7437–7446, <a href="https://doi.org/10.1029/2019GL083371" target="_blank">https://doi.org/10.1029/2019GL083371</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Maraun(2013)</label><mixed-citation>
Maraun, D.: Bias correction, quantile mapping, and downscaling: revisiting the
inflation issue, J. Climate, 26, 2137–2143, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Maraun et al.(2010)</label><mixed-citation>
Maraun, D., Wetterhall, F., Ireson, A. M., Chandler, R. E., Kendon, E. J., Widmann, M., Brienen, S., Rust, H. W., Sauter, T., Themeßl, M., Chun, K. P., Goodess, C. M., Jones, R. G., Onof, C., Vrac, M., Thiele-Eich, I., and Thiele-Eich, I.: Precipitation downscaling under climate change: Recent
developments to bridge the gap between dynamical models and the end user,
Rev. Geophys., 48, RG3003, <a href="https://doi.org/10.1029/2009RG000314" target="_blank">https://doi.org/10.1029/2009RG000314</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Masbruch et al.(2016)</label><mixed-citation>
Masbruch, M., Rumsey, C., Gangopadhyyay, S., Susong, D., and Pruitt, T.:
Analyses of infrequent (quasi-decadal) large groundwater recharge events in
the northern Great basin: their importance for groundwater availability, use,
and management, Water Resour. Res., 52, 7819–7836, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Moeck et al.(2020)</label><mixed-citation>
Moeck, C., Grech-Cumbo, N., Podgorski, J., Bretzler, A., and Gurdak, J.: A
global-scale dataset of direct natural groundwater recharge rates: a review
of variables, processes and relationships, Sci. Total Environ.,
717, 1–19, <a href="https://doi.org/10.1016/j.scitotenv.2020.137042" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.137042</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Moench et al.(2003)</label><mixed-citation>
Moench, M., Burke, J., and Moench, Y.: Rethinking the Approach to
Groundwater and Food Security, Tech. Rep. Water Reports 24, Food and
Agriculture Organization of the United Nations, Rome, Italy, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Moss et al.(2010)</label><mixed-citation>
Moss, R. H., Edmonds, J. A., Hibbard, K. A. , Manning, M. R., Rose, S. K., van Vuuren, D. P., Carter, T. R., Emori, S., Kainuma, M., Kram, T., Meehl, G. A., Mitchell, J. F. B., Nakicenovic, N., Riahi, K., Smith, S. J., Stouffer, R. J., Thomson, A. M., Weyant, J. P., and Wilbanks, T. J.: The next generation of scenarios
for climate change research and assessment, Nature, 463, 747–756,
<a href="https://doi.org/10.1038/nature08823" target="_blank">https://doi.org/10.1038/nature08823</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Pangle et al.(2014)</label><mixed-citation>
Pangle, L., Gregg, J., and McDonnell, J.: Rainfall seasonality and an
ecohydrological feedback offset the potential impact of climate warming on
evapotranspiration and groundwater recharge, Water Resour. Res., 50,
1308–1321, <a href="https://doi.org/10.1002/2012WR013253" target="_blank">https://doi.org/10.1002/2012WR013253</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Pavan et al.(2019)</label><mixed-citation>
Pavan, V., Antolini, G., Barbiero, R., Berni, N., Brunier, F., Cacciamani, C., Cagnati, A., Cazzuli, O., Cicogna, A., De Luigi, C., Di Carlo, E., Francioni, M., Maraldo, L., Marigo, G., Micheletti, S., Onorato, L., Panettieri, E., Pellegrini, U., Pelosini, R., Piccinini, D., Ratto, S., Ronchi, C., Rusca, L., Sofia, S., Stelluti, M., Tomozeiu, R., and Torrigiani Malaspina, T.: High resolution climate
precipitation analysis for north-central Italy, 1961–2015, Clim.
Dynam., 52, 3435–3453, <a href="https://doi.org/10.1007/s00382-018-4337-6" target="_blank">https://doi.org/10.1007/s00382-018-4337-6</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Persaud et al.(2020)</label><mixed-citation>
Persaud, E., Levison, J., MacRitchie, S., Berg, S., Parker, B., and Sudicky,
E.: Integrated modelling to assess climate change impacts on groundwater and
surface water in the Great lakes Basin using diverse climate forcing,
J. Hydrol., 584, 1–15, <a href="https://doi.org/10.1016/j.jhydrol.2020.124682" target="_blank">https://doi.org/10.1016/j.jhydrol.2020.124682</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Pradier et al.(2002)</label><mixed-citation>
Pradier, S., Chong, M., and Roux, F.: Radar observations and numerical modeling
of a precipitation line during MAP IOP 5, Mon. Weather Rev., 130,
2533–2553, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Raco et al.(2021)</label><mixed-citation>
Raco, B., Vivaldo, G., Doveri, M., Menichini, M., Masetti, G., Battaglini, R.,
Irace, A., Fioraso, G., Marcelli, I., and Brussolo, E.: Geochemical,
geostatistical and time series analysis techniques as a tool to achieve the
Water Framework Directive goals: An example from Piedmont region (NW Italy),
J. Geochem. Explor., 229, 106832,
<a href="https://doi.org/10.1016/j.gexplo.2021.106832" target="_blank">https://doi.org/10.1016/j.gexplo.2021.106832</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Raffelli et al.(2017)</label><mixed-citation>
Raffelli, G., Previati, M., Canone, D., Gisolo, D., Bevilacqua, I., Capello,
G., Biddoccu, M., Cavallo, E., Deiana, R., Cassiani, G., and Ferraris, S.:
Local- and Plot-Scale Measurements of Soil Moisture: Time and Spatially
Resolved Field Techniques in Plain, Hill and Mountain Sites, Water, 9, 706, <a href="https://doi.org/10.3390/w9090706" target="_blank">https://doi.org/10.3390/w9090706</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Regione Piemonte(2006)</label><mixed-citation>
Regione Piemonte: Anagrafe agricola del Piemonte, Regione Piemonte [data set], available at:
<a href="http://www.sistemapiemonte.it/cms/privati/agricoltura/servizi/367-anagrafe-agricola-unica-data-warehouse" target="_blank"/>
(last access: 14 August 2020), 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Regione Piemonte(2016)</label><mixed-citation>
Regione Piemonte: SIBI Sistema Informativo della Bonifica e
Irrigazione, retrieved online from Regional Irrigation Information System
Archive Center, Regione Piemonte [data set], available at:
<a href="https://www.regione.piemonte.it/web/temi/agricoltura/agroambiente-meteo-suoli/bonifica-irrigazione-sibi" target="_blank"/>
(last access: 14 August 2020), 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Regione Piemonte(2018a)</label><mixed-citation>
Regione Piemonte: BDTRE, Base Dati Territoriale di
Riferimento degli Enti, cartographic reference material, 1:250 000,
retrieved online from Sistema informativo territoriale e ambientale Archive
Center, Regione Piemonte [data set], available at: <a href="https://www.geoportale.piemonte.it/geonetwork/srv/ita/catalog.search#/metadata/r_piemon:94379297-e72a-41f8-918d-f497a956eb39" target="_blank"/> (last access: 13 January 2022), 2018a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Regione Piemonte(2018b)</label><mixed-citation>
Regione Piemonte: Piano di Tutela delle Acque – Revisione 2018, Tech. rep.,
Regione Piemonte, Direzione Ambiente, Governo e Tutela del territorio,
Settore Tutela delle Acque, available at:
<a href="https://www.regione.piemonte.it/web/sites/default/files/media/documenti/2019-01/pta2018_tavole_di_piano.pdf" target="_blank"/>
(last access: 7 May 2021), 2018b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Rolland(2003)</label><mixed-citation>
Rolland, C.: Spatial and seasonal variations of air temperature lapse rates in
Alpine regions, J. Climate, 16, 1032–1046,
<a href="https://doi.org/10.1175/1520-0442(2003)016&lt;1032:SASVOA&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0442(2003)016&lt;1032:SASVOA&gt;2.0.CO;2</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Rumsey et al.(2015)</label><mixed-citation>
Rumsey, C. A., Miller, M., Susong, D., Tillman, F., and Anning, D.: Regional
scale estimates of baseflow and factors influencing baseflow in the Upper
Colorado River Basin, J. Hydrol.-Regional Studies, 4,
91–107, <a href="https://doi.org/10.1016/j.ejrh.2015.04.008" target="_blank">https://doi.org/10.1016/j.ejrh.2015.04.008</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Schaap et al.(2001)</label><mixed-citation>
Schaap, M., Leij, F., and van Genuchten, M.: Rosetta: a computer program for
estimating soil hydraulic parameters with hierarchical pedotransfer
functions, J. Hydrol., 251, 163–176,
<a href="https://doi.org/10.1016/S0022-1694(01)00466-8" target="_blank">https://doi.org/10.1016/S0022-1694(01)00466-8</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Smerdon(2017)</label><mixed-citation>
Smerdon, B. D.: A synopsis of climate change effects on groundwater recharge,
J. Hydrol., 555, 125–128, <a href="https://doi.org/10.1016/j.jhydrol.2017.09.047" target="_blank">https://doi.org/10.1016/j.jhydrol.2017.09.047</a>,
2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Società Metropolitana Acque Torino(2019)</label><mixed-citation>
Società Metropolitana Acque Torino: Consolidated financial statement and
fiscal year financial statement, Tech. rep., available at:
<a href="https://www.smatorino.it/wp-content/uploads/2020/07/EN-BILANCIO_SMAT_31_12_2019.pdf" target="_blank"/>
(last access: 9 August 2021), 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Sorland et al.(2018)</label><mixed-citation>
Sorland, S., Schar, C., Luthi, D., and Kjellstrom, E.: Bias patterns and climate
change signals in GCM-RCM model chains, Environ. Res. Lett., 13, 074717,
<a href="https://doi.org/10.1088/1748-9326/aacc77" target="_blank">https://doi.org/10.1088/1748-9326/aacc77</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Stoll et al.(2011)</label><mixed-citation>
Stoll, S., Hendricks Franssen, H. J., Butts, M., and Kinzelbach, W.: Analysis of the impact of climate change on groundwater related hydrological fluxes: a multi-model approach including different downscaling methods, Hydrol. Earth Syst. Sci., 15, 21–38, <a href="https://doi.org/10.5194/hess-15-21-2011" target="_blank">https://doi.org/10.5194/hess-15-21-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Strandberg et al.(2014)</label><mixed-citation>
Strandberg, G., Bärring, L., Hansson, U., Jansson, C., Jones, C.,
Kjellström, E., Kolax, M., M. Kupiainen, M., Nikulin, G., Samuelsson, P.,
Ullerstig, A., and Wang, S.: CORDEX scenarios for Europe from
the Rossby Centre regional climate model RCA4, available at:
<a href="http://urn.kb.se/resolve?urn=urn:nbn:se:smhi:diva-2839" target="_blank"/> (last access: 14 August 2020), 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Taylor et al.(2012)</label><mixed-citation>
Taylor, K., Stouffer, R., and Meehl, G.: An overview of CMIP5 and the
experiment design, B. Am. Meteorol. Soc., 93,
485–498, <a href="https://doi.org/10.1175/BAMS-D-11-00094.1" target="_blank">https://doi.org/10.1175/BAMS-D-11-00094.1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Taylor et al.(2013)</label><mixed-citation>
Taylor, R., Scanlon, B., Döll, P., Rodell, M., van Beek, R., Wada, Y., Longuevergne, L., Leblanc, M., Famiglietti, J. S., Edmunds, M., Konikow, L., Green, T. R., Chen, J., Taniguchi, M., Bierkens, M. 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.: Ground water and climate change,
Nat. Clim. Change, 3, 322–329, <a href="https://doi.org/10.1038/nclimate1744" target="_blank">https://doi.org/10.1038/nclimate1744</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>van der Gun(2012)</label><mixed-citation>
van der Gun, J.: Groundwater and Global Change: Trends, Opportunities
and Challenges, Tech. rep., United Nations Educational, Paris, France,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>van Vuuren et al.(2011)</label><mixed-citation>
van Vuuren, D. P., Stehfest, E., den Elzen, M. G. J., Kram, T., van Vliet, J., Deetman, S., Isaac, M., Klein Goldewijk, K., Hof, A., Mendoza Beltran, A., Oostenrijk, R.,  and van Ruijven, B.: RCP2.6: Exploring the  possibility to keep global mean temperature
change below 2&thinsp;°C, Clim. Change, 109, 95–116,
<a href="https://doi.org/10.1007/s10584-011-0152-3" target="_blank">https://doi.org/10.1007/s10584-011-0152-3</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>WCRP(2009)</label><mixed-citation>
WCRP: CORDEX data access, retrieved online from ESGF
Archive Center, available at: <a href="https://cordex.org/data-access/esgf/" target="_blank"/> (last access:
14 August 2020), 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>WHO(2006)</label><mixed-citation>
WHO: Protecting groundwater for health: Managing the quality of
drinking-water sources, IWA Publishing for World Health Organization, ISBN 92 4 154668 9, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Wilks(2011)</label><mixed-citation>
Wilks, D. S.: Statistical Methods in the Atmospheric Sciences, vol. 100,
Academic Press, third edn.,
available at: <a href="http://www.sciencedirect.com/science/bookseries/00746142/100/supp/C" target="_blank"/> (last access: 14 August 2020),
2011.

</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>WWAP(2015)</label><mixed-citation>
WWAP: The United Nations World Water Development Report 2015:
Water for a Sustainable World, Tech. rep., UNESCO, Paris, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Zeinivand and Smedt(2009)</label><mixed-citation>
Zeinivand, H. and Smedt, F. D.: Hydrological modeling of snow accumulation and
melting on river basin scale, Water Resour. Manage., 23, 2271–2287,
2009.
</mixed-citation></ref-html>--></article>
