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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-13-2529-2021</article-id><title-group><article-title><italic>STH-net:</italic> a soil monitoring network for process-based hydrological modelling from the pedon<?xmltex \hack{\break}?> to the hillslope scale</article-title><alt-title>STH-net</alt-title>
      </title-group><?xmltex \runningtitle{STH-net}?><?xmltex \runningauthor{E.~Martini~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Martini</surname><given-names>Edoardo</given-names></name>
          <email>emartini@iup.uni-heidelberg.de</email>
        <ext-link>https://orcid.org/0000-0002-4198-6422</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bauckholt</surname><given-names>Matteo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Kögler</surname><given-names>Simon</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kreck</surname><given-names>Manuel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Roth</surname><given-names>Kurt</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2634-8825</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Werban</surname><given-names>Ulrike</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4700-5258</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wollschläger</surname><given-names>Ute</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7540-1798</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zacharias</surname><given-names>Steffen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7825-0072</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Environmental Physics, Heidelberg University, Heidelberg, 69120, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Monitoring and Exploration Technologies, Helmholtz Centre for Environmental<?xmltex \hack{\break}?> Research GmbH – UFZ, Leipzig, 04318, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Soil System Science, Helmholtz Centre for Environmental Research GmbH<?xmltex \hack{\break}?>– UFZ,  Halle (Saale), 06120, Germany</institution>
        </aff>
        <aff id="aff4"><label>a</label><institution>formerly at: Department of Monitoring and Exploration Technologies, Helmholtz Centre for Environmental <?xmltex \hack{\break}?>Research GmbH – UFZ, Leipzig, 04318, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Edoardo Martini (emartini@iup.uni-heidelberg.de)</corresp></author-notes><pub-date><day>4</day><month>June</month><year>2021</year></pub-date>
      
      <volume>13</volume>
      <issue>6</issue>
      <fpage>2529</fpage><lpage>2539</lpage>
      <history>
        <date date-type="received"><day>27</day><month>November</month><year>2020</year></date>
           <date date-type="accepted"><day>5</day><month>May</month><year>2021</year></date>
           <date date-type="rev-recd"><day>13</day><month>April</month><year>2021</year></date>
           <date date-type="rev-request"><day>5</day><month>January</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Edoardo Martini et al.</copyright-statement>
        <copyright-year>2021</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://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021.html">This article is available from https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e175">The <italic>Schäfertal Hillslope</italic> site is part of the TERENO Harz/Central German Lowland Observatory, and its soil water dynamics are being
monitored intensively as part of an integrated, long-term, multi-scale, and multi-temporal research framework linking hydrological, pedological,
atmospheric, and biodiversity-related research to investigate the influences of climate and land use change on the terrestrial system. Here, a new
soil monitoring network, indicated as <italic>STH-net</italic>, has been recently implemented to provide high-resolution data about the most relevant
hydrological variables and local soil properties. The monitoring network is spatially optimized, based on previous knowledge from soil mapping and
soil moisture monitoring, in order to capture the spatial variability in soil properties and soil water dynamics along a catena across the site as
well as in depth. The STH-net comprises eight stations instrumented with time-domain reflectometry (TDR) probes, soil temperature probes,
and monitoring wells. Furthermore, a weather station provides data about the meteorological variables. A detailed soil characterization exists for
locations where the TDR probes are installed. All data have been measured at a 10 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> interval since 1 January 2019. The STH-net is intended to
provide scientists with data needed for developing and testing modelling approaches in the context of vadose-zone hydrology at spatial scales
ranging from the pedon to the hillslope. The data are available from the EUDAT portal (<ext-link xlink:href="https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74" ext-link-type="DOI">10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</ext-link>, Martini et al., 2020).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e204">Soils are embedded in the environment, coupled to vegetation and atmosphere at the land surface and to groundwater at its lower end. This coupling
gives rise to a suite of physical, chemical, and biological dynamics, most of which are highly non-linear and varying in time and space. Soils provide
crucial ecosystem functions such as water storage and filtering, food and other biomass production, recycling of carbon and nutrients, biological
habitat and gene pool, physical and cultural heritage, source of raw materials, and platforms for human life (United Nations, 2014; Vereecken et al.,
2016). Soils are widely distributed on the earth's surface. Flow and transport processes in unsaturated soils occur predominantly in the vertical
direction, with the gravity force playing a major role, as abrupt changes in soil properties due to soil horizons and layers are typically more
significant than those in the lateral direction and because of the strong<?pagebreak page2530?> coupling between soil, vegetation, and atmosphere. Therefore, despite the
relevance of soils for global phenomena, the relevant soil processes are rather local. Here, one aspect that complicates the picture is the
heterogeneity of soil properties. Another one is the non-linearity of soil processes. In order to effectively address this complexity,
state-of-the-art experimental approaches must be coupled to numerical models for the comprehensive representation of the system properties, states, and
fluxes so that the hydrological system can be better understood.</p>
      <p id="d1e207">Recently, Vogel (2019) provided a comprehensive discussion about the scales and scaling issues in the context of soil hydrological research and noted
the need for looking at small-scale soil properties (i.e. at the pedon scale, at which soil physics is capable of describing states and fluxes with
sufficient accuracy) as a necessary step towards understanding and summarizing the processes at larger scales. In this respect, the author stresses
the need for a two-step approach based on the accurate description of the soil water dynamics at the pedon scale and accounting for the spatial
patterns of functional soil types that constitute the landscape, including the vertical stratification of soil hydraulic properties and structural
attributes. However, the author remarks that high-resolution measurements of the relevant states and properties cannot be achieved at the larger scale
(i.e. catchment, the typical scale of application of hydrological research). In this context, the intermediate scale of hillslopes is crucial for
linking the detailed process understanding to larger-scale dynamics, recognizing hillslopes as key landscape features that organize water availability
on land (Fan et al., 2019). In this respect, coupling state-of-the-art hydrological modelling approaches with high-resolution subsurface
characterization can lead to an accurate quantification of the soil water dynamics in the vadose zone (Vereecken et al., 2015).</p>
      <p id="d1e210">The physical description of the small-scale water movement through the soil's porous structure is typically achieved using the Richards
equation. However, a detailed description of the material properties is needed and cannot be fully resolved by direct sampling. Thus, inverse
modelling can be a powerful tool for the estimation of the soil hydraulic parameters (e.g. Vrugt et al., 2008), including the recent developments in
data assimilation approaches (e.g. Bauser et al., 2016, 2020; Botto et al., 2018). These require dense (in the direction of the dominant flow,
typically orthogonal to the soil surface) measurements of soil water content with high temporal resolution and of high quality. Furthermore, in situ
sensors can experience all the processes affecting the measured state variables in their natural environment (Wollschläger et al., 2009), which is
an important advantage with respect to sample-based determinations from the laboratory.</p>
      <p id="d1e213">The performances of hydrological models can be improved by various measured data with high spatial and temporal resolution (Clark et al.,
2017). Bronstert (1999) highlighted the importance of linking experimental knowledge to the experience gained from numerical modelling applications as
a very valuable synergistic combination. Technological advances in our ability to measure soil hydrological states efficiently at the hillslope scale
and beyond are one possible way to gain the much-needed improved understanding of processes that challenge the comprehensive understanding of
field-scale hydrology.</p>
      <p id="d1e217">In the research framework of the TERENO Harz/Central German Lowland Observatory, the <italic>Schäfertal Hillslope</italic> represents a benchmark site for
developing and testing the integration of state-of-the-art monitoring techniques with advanced modelling approaches. This offers the opportunity to
gain a more detailed understanding of processes and to quantify and predict water and matter fluxes at nested spatial scales in the context of climate
and land use change. Specifically, the approach followed at the site accounts for the soil spatial variability through detailed soil mapping and is
designed to provide in situ data with high-temporal-resolution and dense coverage in the vertical direction about the soil water dynamics in the
vadose zone and of its boundary conditions. With this design tailored to the needs of vadose zone modelling, we aim to provide physical models with
ideally all the data needed for quantifying and predicting the soil water fluxes at spatial scales ranging from the pedon to the hillslope scale, with
important implications in terms of methodological advance and process understanding for catchment-scale processes.</p>
      <p id="d1e223">Here, we present the first 21 months of the comprehensive data set measured by the monitoring network <italic>STH-net</italic>, recently implemented at
the Schäfertal Hillslope site, part of an intensive hydrological observatory. The data set includes hourly time series of the meteorological
forcing, soil water content measured in situ at different locations and at multiple soil depths along a hillslope transect, and soil physical and
physicochemical properties.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e231">Spatial map in 3D and aerial view of the Schäfertal Hillslope site and location of the monitoring stations.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Site description</title>
      <p id="d1e248">The Schäfertal experimental site is a small headwater catchment (1.44 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) located in the Lower Harz Mountains, in central Germany
(51<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>39<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 11<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>3<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E). Environmental research at the Schäfertal catchment was initiated at the end of the
1960s with the implementation of a hydro-meteorological station (Reinstorf et al., 2010), and the infrastructure has continuously been expanded since
then. Since 2010, the Schäfertal catchment is one of the highly instrumented intensive research sites within the TERENO Harz/Central German
Lowland Observatory (Zacharias et al., 2011, Wollschläger et al., 2017). Due to the geographical settings of the Harz region, the Schäfertal
catchment receives only 630 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> of precipitation per year. The average annual air temperature is 6.9 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with a sub-continental
climate (Reinstorf, 2010). The geology of the catchment is dominated by Devonian argillaceous shales and greywackes, covered by periglacial<?pagebreak page2531?> sediments
(Borchardt, 1982). Near-surface compacted horizons within the basal layer are known to induce interflow processes in the unsaturated zone (Borchardt,
1982; Gräff et al., 2009). Dominant soil types in the Schäfertal are Gleysols occurring in
the valley bottom as well as Luvisols and Cambisols on the loess-covered slopes (Ollesch et al., 2005). The slopes of the catchment are intensively
used for agriculture, whilst meadows occupy the valley bottom (Schröter et al., 2015).</p>
      <p id="d1e319">Since 2012, a smaller hillslope area named Schäfertal Hillslope site, located downstream of the Schäfertal gauging station, has been
instrumented for detailed investigations of the hydrological processes in the unsaturated zone. From 2012 to 2017, the wireless soil moisture
monitoring network <italic>SoilNet</italic> delivered information about the soil water dynamics at three depths within the unsaturated zone with high
spatial coverage. In 2018, the SoilNet was disposed, and a new soil monitoring network, named STH-net, was installed, aiming
to improve the resolution in the vertical direction at fewer locations selected based on the knowledge about the soil spatial variability and soil
water dynamics gained from the previous monitoring experience (see Martini et al., 2015, 2017a, b). The STH-net is described in the
following sections of this paper, and its data are now available through the data portal EUDAT
(<uri>https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</uri>). The Schäfertal Hillslope site includes north- and
south-exposed slopes divided by the creek (<italic>Schäferbach</italic>) in the valley bottom (Fig. 1). In contrast to the slopes upstream, which are
primarily covered by cropland, this grassland transect is used as pasture and is not affected by agricultural practices except that the grass is mowed
typically once per year. The spatial extent of the hillslope is approximately <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">80</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and presents various topographical and pedological
features. The slopes are covered by silty loam Cambisols more evolved towards the foot slope, while loam and silty loam stagnic Gleysols occupy the
valley bottom. An extensive description of the soil units mapped at the site is provided in Martini et al. (2015). The STH-net is designed to
cover the spatial variability in the soil properties as well as the soil layering with high resolution.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Monitoring design and measurement techniques</title>
      <p id="d1e359">The STH-net comprises eight monitoring stations (named as P1 to P8) arranged along a transect centred within the Schäfertal
Hillslope site and aligned along the slope direction (Fig. 1). The stations P1, P2, and P3 are located within the northern (i.e. south-facing)
slope and cover the transition between the soil units STU1 and STU2 described in Martini et al. (2015); the stations P4 and P5 fall into the valley
bottom, i.e. soil unit STU3; P6, P7, and P8 cover the lower part of the southern (i.e. north-facing) slope, i.e. soil unit STU4. Every station
features a soil profile instrumented with time-domain reflectometry (TDR) probes installed every 0.1 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> along the vertical direction. A sketch
showing the design of a reference monitoring station is presented in Fig. 2. Each of the instrumented soil profiles located on the hillslopes features
a minium of seven TDR probes installed at depths of 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, and 0.7 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, whilst an additional probe is installed at P3
at a depth of 0.8 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, and the profiles at P4 and P5 feature additional TDR probes at depths of 0.8, 0.9, 1.0, and 1.1 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in order to
cover the deeper soils. In a few cases, the depths of the probes were adjusted to avoid installing the TDR probe at or too close to the boundaries
between soil horizons. The exact depth of every TDR probe is reported in the file “STH-net_Soils.txt” and displayed in Fig. 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e396">Sketch of a representative monitoring station of the STH-net.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e407">Sketch of the soil profiles (showing the mapped soil horizons according to WRB 2015) and the depth of the TDR probes (see labels).</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f03.png"/>

      </fig>

      <p id="d1e417">At every station, a well instrumented with a piezometer was installed ca. 2 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to the east of the instrumented soil profiles for monitoring the
water level. One station for every topographic unit (i.e. northern slope, valley bottom, and southern slope) was further instrumented with sensors
measuring the soil temperature at six depths between 0.05 and 1.0 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <?pagebreak page2532?><p id="d1e436">A weather station is located in the centre of the hillslope transect next to the creek.
<?xmltex \hack{\newpage}?>
All measurement systems comprising the STH-net collect measurements every 10 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, with the only exception of the water level data, which are
collected every 2 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>TDR measurements</title>
      <p id="d1e464">The TDR probes are arranged in clusters of 22 probes for the northern slope and the valley bottom, whilst only 21 probes were installed at the
southern slope, for a total of 65 TDR probes. Each cluster consists of one TDR device (TDR100 for the station North, TDR200 for the stations Valley
and South, Campbell Scientific Inc., Logan, UT, USA) and a data logger (CR1000 for the station North, CR6 for the stations Valley and South, Campbell
Scientific Inc., Logan, UT, USA). The clusters are powered by extra-low-voltage cables buried ca. 0.3 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the ground and cased in HDPE
(i.e. high-density polyethylene) tubes and an AGM (i.e. absorbent glass mat) battery capable of supplying the required power in case of power
cut-off. Every TDR probe is connected to its station master by a 22 m long low-loss coaxial cable, tested to be the optimal length providing good
signal quality while enabling enough flexibility in terms of network design. The TDR probes were custom-made and have three 0.2 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> long
rods. They were calibrated through measurements in air and in water with different salt concentrations for water content and electrical conductivity
estimation. The probes were installed horizontally in soil pits, which were carefully refilled after the installation. The installation was carried out
between June and August 2018, and all the measurements collected until the end of December 2018 were discarded to allow the soil to re-compact
naturally during the first rainy season.
<?xmltex \hack{\newpage}?>
From the TDR traces, the dielectric permittivity <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> of the medium is calculated as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M21" display="block"><mml:mrow><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>air</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>water</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>water</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>air</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>water</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></disp-formula>
          based on the calibration measurements of travel time and dielectric permittivity in air (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and water
(<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), where <inline-formula><mml:math id="M26" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the travel time estimated for the measured trace. The volumetric water
content <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is calculated according to the complex refractive index model (CRIM) following Roth et al. (1990) as
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M28" display="block"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mo>-</mml:mo><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>soil</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>air</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>water</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:msqrt><mml:mi mathvariant="italic">ε</mml:mi></mml:msqrt><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> is the porosity, which was calculated from the soil bulk density, and <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is set to 4.6. Figure 4 shows the hourly
time series of soil water content. Characteristic differences in the soil water dynamics are evident for the distinct soil profiles and depths to be
attributed, e.g. to the differences in soil texture and soil layering or, locally, to groundwater dynamics.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e697">Time series of soil water content data. The plots were made using the data set as it appears in the online archive. The data are plotted using a scientific colour scale from Crameri (2018) chosen according to the principles described in Crameri et al. (2020).</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e708">Time series of soil temperature data. The plots were made using the data set as it appears in the online archive. The data are plotted using a scientific colour scale from Crameri (2018) chosen according to the principles described in Crameri et al. (2020).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Soil temperature</title>
      <p id="d1e725">The stations P2, P4, and P7 are instrumented with one Th3-s soil temperature profile probe (formerly UMS GmbH, Munich, Germany) each, located nearby
the instrumented soil profiles (Fig. 2) and connected via SDI-12 to the same data loggers and power supply. The probes consist of six temperature
sensors cased inside a tube made of glass-fibre-reinforced plastic and placed at fixed depths of 5, 10, 20, 30, 50, and 100 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>. Soil
temperature is measured at the same times as the TDR traces. The measured data are shown in Fig. 5. The influence of the geographical exposure of the
slopes is particularly evident, e.g. overall higher temperature and stronger dynamics for the south-exposed slopes compared to the other areas as
well as the strongest dynamics near the surface compared to the deepest sensors. For every temperature profile, the soil temperature values
corresponding to the depths of the TDR profiles within the same cluster (i.e. the same topographic unit, namely northern slope, valley bottom, and
southern slope) are calculated based on a linear interpolation and used for calculating the temperature correction of the TDR-measured soil water
content values from the TDR traces according to Kaatze (1989). By doing this, we assume that (i) the soil temperature changes linearly with depth
between the observations at 5, 10, 20, 30, 50, and 100 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, regardless of material property changes in-between, and (ii) the soil temperature
measured at each of the three plots (i.e. P2, P4, and P7) is representative of the cluster (i.e. cluster North consisting of P1, P2, and P3, measured
at P2; cluster Valley consisting of P4 and P5, measured at P4; cluster South consisting of P6, P7, and P8, measured at P7).</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="d1e746">Time series of water level data. The plots were made using the data set as it appears in the online archive. The dashed vertical line indicates the start of the measurements (9 March 2020). The dashed horizontal lines indicate the depth of the wells. The data are plotted using a scientific colour scale from Crameri (2018) chosen according to the principles described in Crameri et al. (2020).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f06.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2533?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Water level</title>
      <p id="d1e765">Every station of the STH-net is equipped with a monitoring well consisting of an LDPE (i.e, low-density polyethylene) tube drilled to the
maximum depth of 2 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and instrumented with Levelogger LTC (Solinst, Ontario, Canada), model 3001-M10. Due to an initial malfunctioning of the
sensors, only the data measured since 9 March 2020 are available. In contrast to the other measurements of the data set presented here, the water
level data are downloaded manually. Figure 6 shows the time series of the water level data and reports the maximum depth for every well. Seasonal
dynamics of the groundwater level are evident for the wells in the valley bottom (P4 and P5) and for P6, located next to the creek. The wells on the
slopes (P1, P2, P3, P7, and P8) stay dry for most of the monitored period and only show quick rises and recessions of the water level in the winter and
spring season.</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="d1e778">Time series of all the meteorological variables measured at the Schäfertal Hillslope site. The plots were made using the data set as it appears in the online archive. The black line in the second, third, and fourth plots shows the daily average temperature, the average wind speed, and the daily average wind direction, respectively, while all other data are in 10 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> time steps.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Meteorological data</title>
      <p id="d1e803">In the central part of the Schäfertal Hillslope site (Fig. 1), a WXT 520 weather station (Vaisala Oyj, Laskutus, Finland) equipped with a CMP3-L
pyranometer (Kipp &amp; Zonen, Delft, Netherlands) installed at a height of 2 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> measures the wind vector, air temperature and pressure,
relative humidity, liquid precipitation, hail, and solar radiation. The system is fully integrated with the data logger of the central monitoring
station, and the meteorological variables are measured at the same times as the TDR and soil temperature profile probes. Figure 7 shows the hourly time
series of the meteorological variables.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e816">Soil textural classification according to the German <italic>Bodenkundliche Kartieranleitung</italic> (Ad-hoc-AG Boden, 2005) grouped by soil profiles (P1 to P8). <italic>Ss:</italic> pure sand; <italic>Su2:</italic> slightly silty sand; <italic>Sl2:</italic> slightly loamy sand; <italic>Sl3:</italic> medium loamy sand; <italic>St2:</italic> slightly clayey sand; <italic>Su3:</italic> medium silty sand; <italic>Su4:</italic> highly silty sand; <italic>Slu:</italic> loamy silty sand; <italic>Sl4:</italic> highly loamy sand; <italic>St3:</italic> medium clayey sand; <italic>Ls2:</italic> slightly sandy loam; <italic>Ls3:</italic> medium sandy loam; <italic>Ls4:</italic> highly sandy loam; <italic>Lt2:</italic> slightly clayey loam; <italic>Lts:</italic> clayey sandy loam; <italic>Ts4:</italic> highly sandy clay; <italic>Ts3:</italic> medium sandy clay; <italic>Uu:</italic> pure silt; <italic>Us:</italic> sandy silt; <italic>Ut2:</italic> slightly clayey silt; <italic>Ut3:</italic> medium clayey silt; <italic>Uls:</italic> loamy sandy silt; <italic>Ut4:</italic> highly clayey silt; <italic>Lu:</italic> silty loam; <italic>Lt3:</italic> medium clayey loam; <italic>Tu3:</italic> medium silty clay; <italic>Ts2:</italic> slightly sandy clay; <italic>Tu4:</italic> highly silty clay; <italic>Tu2:</italic> slightly silty clay; <italic>Tl:</italic> loamy clay; <italic>Tt:</italic> pure clay. The figure was created in RStudio with the package “The Soil Texture Wizard” (<uri>https://CRAN.R-project.org/package=soiltexture</uri>, last access: 1 June 2021) by Julien Moeys. The data are plotted using a scientific colour scale from Crameri (2018) chosen according to the principles described in Crameri et al. (2020).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/2529/2021/essd-13-2529-2021-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Soil properties</title>
      <p id="d1e938">During the installation of the STH-net, one bulk soil sample and one volumetric soil sample were collected at every soil pit at the same depth at which each
of the TDR probes were installed. From the bulk samples, the percentage of sand, silt, and clay in the fine earth fraction was determined in the
laboratory using the pipette method. The volumetric soil samples were collected with a stainless stain ring and used for the soil porosity and bulk
density estimation. Figure 8 shows the classification of the soil samples according to the German soil textural classes (Ad-hoc-AG Boden, 2005),
considered suitable for the soil parameterization for physically based hydrological modelling (Bormann, 2007).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e944">Measurement range, accuracy, and resolution of the measurement devices described in Sect. 3.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="45mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="45mm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="35mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Measurement range</oasis:entry>
         <oasis:entry colname="col3">Accuracy</oasis:entry>
         <oasis:entry colname="col4">Resolution</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">STH-net station </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil water content<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 1 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M43" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M44" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil temperature<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M47" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 to <inline-formula><mml:math id="M48" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>50 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M50" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0,1 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.034 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Water level<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 50 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Barologger 5: <inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 to <inline-formula><mml:math id="M56" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>50 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), FS <inline-formula><mml:math id="M58" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M60" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.0006 % FS</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Weather station </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Barometric pressure<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">600 to 1100 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M64" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> at 0 to <inline-formula><mml:math id="M66" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>30  <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>52 to <inline-formula><mml:math id="M71" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.1 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>, 10 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi></mml:mrow></mml:math></inline-formula>, 0.001 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">bar</mml:mi></mml:mrow></mml:math></inline-formula>,<?xmltex \hack{\hfill\break}?>0.1 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmHg</mml:mi></mml:mrow></mml:math></inline-formula>, 0.01 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">inHg</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Air temperature<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>52 to <inline-formula><mml:math id="M80" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60  <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M82" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.1 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind speed<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 60 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % at 10 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.1 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind direction<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 360<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> azimuth</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M92" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 100 % RH</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M96" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % RH at 0 to 90 % RH<?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M97" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 % RH at 90 to 100 % RH</oasis:entry>
         <oasis:entry colname="col4">0.1 % RH</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rainfall intensity<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0 to 200 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (broader range<?xmltex \hack{\hfill\break}?>with reduced accuracy)</oasis:entry>
         <oasis:entry colname="col3">Daily accumulation: better than<?xmltex \hack{\hfill\break}?>5 %, weather dependent</oasis:entry>
         <oasis:entry colname="col4">0.01 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hail<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">NA</oasis:entry>
         <oasis:entry colname="col3">NA</oasis:entry>
         <oasis:entry colname="col4">0.1 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hit</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Solar radiation<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Maximum solar irradiance:<?xmltex \hack{\hfill\break}?>2000 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M105" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M106" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e947"><inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Custom-made TDR probes (Helmholtz Centre for Environmental Research GmbH – UFZ, Leipzig, Germany). <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Th3-s soil temperature profile probe (formerly UMS GmbH, Munich, Germany). Source: <uri>https://www.google.com/url?sa=t&amp;rct=j&amp;q=&amp;esrc=s&amp;source=web&amp;cd=&amp;ved=2ahUKEwjQjpTu4bvuAhWm4YUKHTKhCsUQFjABegQIARAC&amp;url=http%3A%2F%2Fcnyhome.cafe24.com%2Fpdffile%2FTh3sManual.pdf&amp;usg=AOvVaw1JN8EI6XoJ6F3LyJw9PnnK</uri> (last access: 13 April 2021). <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> 3001-M10 Levelogger LTC (Solinst, Ontario, Canada). Source: <uri>https://www.solinst.com/products/data/3001-ltc.pdf</uri> (last access: 13 April, 2021). <inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> WXT 520 weather station (Vaisala Oyj, Laskutus, Finland). Source: <uri>https://www.vaisala.com/en/file/9411/download?token=DOb1ETJK</uri> (last access: 13 April 2021). <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> CMP3-L pyranometer (Kipp &amp; Zonen, Delft, Netherlands). Source: <uri>https://www.kippzonen.com/Product/11/CMP3-Pyranometer</uri> (last access: 13 April 2021). NA – not available</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Uncertainties and data usability</title>
      <?pagebreak page2535?><p id="d1e1859">For the estimation of soil water content using a composite dielectric approach, some physical parameters must be known. These are primarily
temperature, porosity, and the dielectric number of the solid matrix (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). Among them, soil temperature plays a major role
in determining the global uncertainty. As part of the STH-net, soil temperature is measured in situ at the same time as the TDR waveforms,
which enables an accurate temperature correction. The soil porosity was estimated for every sampling point from undisturbed soil cores and introduces
an uncertainty. For <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> we have chosen the value of 4.6, corresponding to the dielectric permittivity of quartz. This value
was chosen arbitrarily and hence introduces an uncertainty. For a more extensive discussion about the uncertainty in the soil water content estimation due to the single parameters, we refer to Roth et al. (1990). For the data set presented here, we estimated the uncertainty in the calculated soil
water content using the CRIM formula by varying the values of <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and porosity between 4 and 6 and between 0.3 and 0.5,
respectively (similar to Wollschläger et al., 2010). We obtained values <inline-formula><mml:math id="M112" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M113" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> as the largest uncertainty in the
soil water content estimation. This information is reported in Table 1 along with the measurement range, accuracy, and resolution of the other
variables provided within the data set described in this article.</p>
      <p id="d1e1930">Rain gauges may misestimate the rainfall rate under certain circumstances, especially when rainfall events are associated with strong wind. The
experiment described in Basara et al. (2009) shows that a sensor similar to the one installed at the
Schäfertal Hillslope site overestimates the rainfall intensity in an urban environment. The rainfall rate data presented in this article
were compared to those of several other rain gauges (data from partner research institute, not available here) located ca. 100 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> away from the
site. The rainfall intensity values measured by our sensor neither underestimate<?pagebreak page2536?> the rainfall rate values nor completely miss rainfall events. With our
data set, we make the measured data available to any interested scientists along with all relevant site information and leave them the choice about
eventual compensation measures to be applied. The correction function proposed by Richter (1995) is commonly used for studies conducted in central
Germany to account for the possible wind-induced underestimation of the rainfall intensity.</p>
      <p id="d1e1941">Until a few years ago, the Schäfertal catchment used to be affected by significant snowfall, with major snowmelt events occurring between January
and April, whose effects on the hydrological processes are described, e.g. in Ollesch et al. (2005). In the last years, however, no significant
snowfall events were observed. The last winter period (December 2020 to February 2021), instead, was characterized by exceptionally intense snowfall
(with a maximum of ca. 45 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> on 8 February 2021) that accumulated and persisted. Unfortunately, the technical infrastructure currently
available at the site does not allow a meaningful estimation of the snow height and distribution during the monitoring period; hence the snowfall
events are not recorded by the weather station in use (see Fig. 7). Because of this, the snow contribution to the water balance needs to be derived
from the meteorological and soil temperature data available.</p>
      <p id="d1e1952">Overall, 9.3 % of the soil water content data and 7.6 % of the soil temperature data are missing (particularly until March 2019 for the
station North and between April and August 2020 for the station Valley) due to various technical failures.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data management</title>
      <p id="d1e1964">The STH-net data stored by the three data loggers are accessed and downloaded remotely using the software <italic>Loggernet</italic> (Campbell
Scientific Inc., Logan, UT, USA). The water level data, which are manually downloaded, are the only<?pagebreak page2537?> exception. The data files are regularly quality-checked and uploaded to the EUDAT record STH-net (<uri>https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</uri>, Martini et al., 2020), where they remain
available for download.</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Data availability</title>
      <p id="d1e1981">The STH-net data are available under a dynamic identifier (<uri>https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</uri>; Martini et al., 2020) at the time of the manuscript submission (from there, all future versions of the archive can be easily accessed) under the Creative Commons Attribution license (CC-BY 4.0).</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Data sets</title>
      <p id="d1e1995">The STH-net data are archived as separate text files for the different data types: soil water content, soil temperature, water level, and
meteorological variables. Furthermore, the geographic coordinates of the measurement locations and the soil information are available for
download. The time series data start from 1 January 2019 and continue with hourly time steps until the most recent update. At the time of the
manuscript submission, the latest entry refers to 28 February 2021. The water level data are available with a 2 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> resolution and cover the
time period between 6 March 2020 and 23 February 2021. All the data published in the online archive
(<uri>https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</uri>, Martini et al., 2020) will be updated on an approximately 3-month basis.</p>
</sec>

      
      </body>
    <back><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2013">EM, SK, KR, UlW, UtW, and SZ conceived the work; UlW and SZ acquired the funding; EM, MB, SK, and MK curated the data; EM wrote the
manuscript. The joint discussion by all the authors shaped the paper into its actual form.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2019">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><?pagebreak page2538?><p id="d1e2025">The installation and operation of the Schäfertal Hillslope site research infrastructure was funded and supported by the Terrestrial Environmental Observatories (TERENO), which is a joint collaboration programme involving several Helmholtz Research Centres in Germany, and the TERENO observatory Harz/Central German Lowland operated by the UFZ Helmholtz Centre for Environmental Research is gratefully acknowledged for providing access to the Schäfertal Hillslope site and to the STH-net data. Edoardo Martini received funding from the German Research Foundation (DFG).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2030">This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. MA 7936/1-1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2036">This paper was edited by Giulio G. R. Iovine and reviewed by Ian Moffat and six anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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    <!--<article-title-html><i>STH-net:</i> a soil monitoring network for process-based hydrological modelling from the pedon to the hillslope scale</article-title-html>
<abstract-html><p>The <i>Schäfertal Hillslope</i> site is part of the TERENO Harz/Central German Lowland Observatory, and its soil water dynamics are being
monitored intensively as part of an integrated, long-term, multi-scale, and multi-temporal research framework linking hydrological, pedological,
atmospheric, and biodiversity-related research to investigate the influences of climate and land use change on the terrestrial system. Here, a new
soil monitoring network, indicated as <i>STH-net</i>, has been recently implemented to provide high-resolution data about the most relevant
hydrological variables and local soil properties. The monitoring network is spatially optimized, based on previous knowledge from soil mapping and
soil moisture monitoring, in order to capture the spatial variability in soil properties and soil water dynamics along a catena across the site as
well as in depth. The STH-net comprises eight stations instrumented with time-domain reflectometry (TDR) probes, soil temperature probes,
and monitoring wells. Furthermore, a weather station provides data about the meteorological variables. A detailed soil characterization exists for
locations where the TDR probes are installed. All data have been measured at a 10&thinsp;min interval since 1 January 2019. The STH-net is intended to
provide scientists with data needed for developing and testing modelling approaches in the context of vadose-zone hydrology at spatial scales
ranging from the pedon to the hillslope. The data are available from the EUDAT portal (<a href="https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74" target="_blank">https://doi.org/10.23728/b2share.82818db7be054f5eb921d386a0bcaa74</a>, Martini et al., 2020).</p></abstract-html>
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