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  <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 GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-19-1767-2015</article-id><title-group><article-title>Characteristics and controls of variability in soil moisture <?xmltex \hack{\newline}?> and groundwater in a headwater catchment</article-title>
      </title-group><?xmltex \runningtitle{Controls of variability in soil moisture and groundwater}?><?xmltex \runningauthor{H.~K.~McMillan and M.~S.~Srinivasan}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>McMillan</surname><given-names>H. K.</given-names></name>
          <email>h.mcmillan@niwa.co.nz</email>
        <ext-link>https://orcid.org/0000-0002-9330-9730</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Srinivasan</surname><given-names>M. S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>National Institute of Water and Atmospheric Research, P.O. Box 8602, Christchurch, New Zealand</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">H. K. McMillan (h.mcmillan@niwa.co.nz)</corresp></author-notes><pub-date><day>17</day><month>April</month><year>2015</year></pub-date>
      
      <volume>19</volume>
      <issue>4</issue>
      <fpage>1767</fpage><lpage>1786</lpage>
      <history>
        <date date-type="received"><day>5</day><month>June</month><year>2014</year></date>
           <date date-type="rev-request"><day>11</day><month>August</month><year>2014</year></date>
           <date date-type="rev-recd"><day>29</day><month>January</month><year>2015</year></date>
           <date date-type="accepted"><day>21</day><month>March</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/.html">This article is available from https://hess.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Hydrological processes, including runoff generation, depend on the
distribution of water in a catchment, which varies in space and time. This
paper presents experimental results from a headwater research catchment in
New Zealand, where we made distributed measurements of streamflow, soil
moisture and groundwater levels, sampling across a range of aspects,
hillslope positions, distances from stream and depths. Our aim was to assess
the controls, types and implications of spatial and temporal variability in
soil moisture and groundwater tables.</p>
    <p>We found that temporal variability in soil moisture and water table is
strongly controlled by the seasonal cycle in potential evapotranspiration,
for both the mean and extremes of their distributions. Groundwater is a
larger water storage component than soil moisture, and this general
difference increases even more with increasing catchment wetness. The spatial
standard deviation of both soil moisture and groundwater is larger in winter
than in summer. It peaks during rainfall events due to partial saturation of
the catchment, and also rises in spring as different locations dry out at
different rates. The most important controls on spatial variability in
storage are aspect and distance from the stream. South-facing and near-stream
locations have higher water tables and showed soil moisture responses for
more events. Typical hydrological models do not explicitly account for
aspect, but our results suggest that it is an important factor in hillslope
runoff generation.</p>
    <p>Co-measurement of soil moisture and water table level allowed us to identify
relationships between the two. Locations where water tables peaked closer to
the surface had consistently wetter soils and higher water tables. These
wetter sites were the same across seasons. However, patterns of strong soil
moisture responses to summer storms did not correspond to the wetter sites.</p>
    <p>Total catchment spatial variability is composed of multiple variability
sources, and the dominant type is sensitive to those stores that are close to
a threshold such as field capacity or saturation. Therefore, we classified
spatial variability as “summer mode” or “winter mode”. In “summer
mode”, variability is controlled by shallow processes, e.g. interaction of
water with soils and vegetation. In “winter mode”, variability is
controlled by deeper processes, e.g. groundwater movement and bypass flow.
Double streamflow peaks observed during some events show the direct impact of
groundwater variability on runoff generation. Our results suggest that
emergent catchment behaviour depends on the combination of these multiple,
time varying components of storage variability.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Hydrological processes, including runoff generation, depend on the
distribution of water in a catchment, in space and time. Understanding the
distribution and its effects on hydrological processes is a prerequisite for
identifying hydrological principles (Troch et al., 2008) and building
hydrological models that produce “the right answers for the right reasons”
(Kirchner, 2006). However, water stores and fluxes are typically
characterised by high complexity and variability at all scales (e.g. Grayson
et al., 2002; Zimmer et al., 2012). The high variability of soil water and
groundwater has far-reaching implications for hydrological measurement,
prediction and modelling. Most measurements of soil moisture or groundwater
are made at the point scale, and so high variability makes it difficult and
costly to estimate spatial average values. However, studies into controls on
variability can give insights into the best monitoring locations and
strategies to estimate spatial averages (e.g. Teuling et al., 2006, for soil
moisture), and may allow us to identify sites that are likely to mirror the
mean wetness conditions of the catchment (Grayson and Western, 1998).</p>
      <p>Hydrological models simulate water fluxes integrated over some “model
element” scale, so where variability exists below that scale, model fluxes
will differ from point-scale measurements (Blöschl and Sivapalan, 1995;
Western et al., 2002). This makes it difficult to compare model simulations
against measured data. The same scale sensitivity affects climate models,
which use land surface water content as a boundary condition (Seneviratne et
al., 2010). In addition, the prevalence of high nonlinearity and thresholds
in hydrological responses means that simple averaging of water content is not
sufficient. For example, integrated drainage fluxes derived from soil
moisture patterns with realistic variability and spatial organisation exceed
those estimated from uniform soil moisture fields (Bronstert and Bardossy,
1999; Grayson and Bloschl, 2000). Model descriptions of relationships between
mean soil moisture and drainage must therefore be altered to take account of
soil moisture variability (e.g. Moore, 2007; Wood et al., 1992) and
organisation (Lehmann et al., 2007), and may need to change seasonally as
soil moisture variability changes (McMillan, 2012). Similarly, averaging of
soil texture or water-holding properties should take spatial organisation
into account. Threshold relationships between water content and runoff
generation, which have been widely observed at the point scale, should be
smoothed at the model element scale to reflect spatial variability (Kavetski
et al., 2006). The critical point here is that multiple sources and
characteristics of variability may exist in any catchment. To understand and
model the emergent catchment-scale processes they create, we must understand
how the individual components of variability interact and change with time.</p>
      <p>A well-established strategy to improve our understanding of hydrological
variability and processes is through the development of densely instrumented
research catchments (Tetzlaff et al., 2008; Sidle, 2006; Warmerdam and
Stricker, 2009). Such sites expose interrelations and patterns in
hydrological variables, and allow us to test hypotheses on catchment
function. In recent years, improved sensor and communication technologies
have increased our ability to capture space and time variability in
hydrological processes, storage and fluxes (Soulsby et al., 2008). While
acknowledging the importance of breadth as well as depth in hydrological
analysis (Gupta et al., 2014), intensively studied catchments remain a
critical part of hydrological research.</p>
      <p>In New Zealand, experiments in research catchments have uncovered the
importance of vertical flow and the displacement mechanism for streamflow
generation, using applied tracers (Woods et al., 2001; Mahurangi catchment)
and isotope measurements (McGlynn et al., 2002; Maimai catchment). The
subsequent incorporation of our revised process understanding into conceptual
models of the catchments has emphasised the need to measure variability and
dynamic response in groundwater as well as soil moisture (e.g. Graham and
McDonnell, 2010; Fenicia et al., 2010). Groundwater dynamics and subsurface
flow pathways are a key control on runoff generation and flow dynamics in a
variety of different catchments (Onda et al., 2001; Soulsby et al., 2007),
with strong evidence coming from hydrochemical analysis of streamwater. The
hydrology of the riparian zone may be particularly sensitive to groundwater
connections (Vidon and Hill, 2004). While previous NZ catchment studies have
measured groundwater response in a limited number of locations (Bidwell et
al., 2008) or without simultaneous surface water measurements (Gabrielli et
al., 2012), a joint data set of spatio-temporal surface and groundwater
measurements did not previously exist in New Zealand.</p>
      <p>The results presented in this paper, from a research catchment in the
headwaters of Waipara catchment, provide data to characterise and test
hypotheses on variability and model representation of integrated surface
water–groundwater systems. Such models are in high demand for management
applications, as local governments must set allocation limits and manage
supply under increasing demands for water. Although surface water and
groundwater systems have, historically, often been managed independently,
there is now recognition that extractive use from either source impacts the
whole system (Lowry et al., 2003).</p>
      <p>The aims of this paper are therefore (1) to present initial experimental data
of surface water and groundwater responses from a research catchment in the
alpine foothills of New Zealand and (2) to assess the types of spatial and
temporal variability in soil moisture and groundwater in this headwater
catchment, the factors that control the variability, and the implications for
modelling.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Examples of controls on soil moisture distribution found in
international studies.</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="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Reference</oasis:entry>  
         <oasis:entry colname="col2">Control</oasis:entry>  
         <oasis:entry colname="col3">Relationship</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Brocca et al. (2007)</oasis:entry>  
         <oasis:entry colname="col2">Upslope area</oasis:entry>  
         <oasis:entry colname="col3">Positive spatial correlation between soil</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">moisture and ln(upslope area) at 14 sampling</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">times.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Qiu et al. (2001)</oasis:entry>  
         <oasis:entry colname="col2">Land use and</oasis:entry>  
         <oasis:entry colname="col3">Statistically significant spatial correlation</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">topography descriptors</oasis:entry>  
         <oasis:entry colname="col3">between mean soil moisture and classifications</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">including slope, aspect</oasis:entry>  
         <oasis:entry colname="col3">of land use (higher soil moisture for crops than</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">and elevation</oasis:entry>  
         <oasis:entry colname="col3">forest), aspect (higher soil moisture for the northern</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">aspect) and slope position (higher soil moisture</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">for downslope locations).</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kim et al. (2007)</oasis:entry>  
         <oasis:entry colname="col2">Topographic position</oasis:entry>  
         <oasis:entry colname="col3">Topographic zones (upper, buffer and flow</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">path zones) defined by contributing area and</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">distance to flow path. Qualitative differences in</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">soil moisture dynamics found between zones.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Penna et al. (2009)</oasis:entry>  
         <oasis:entry colname="col2">Slope, topographic</oasis:entry>  
         <oasis:entry colname="col3">At five sites and three depths, Pearson's correlation</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">index</oasis:entry>  
         <oasis:entry colname="col3">typically positive between soil moisture and</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">topographic wetness index, always negative</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">between soil moisture and slope.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Nyberg (1996)</oasis:entry>  
         <oasis:entry colname="col2">Topographic index</oasis:entry>  
         <oasis:entry colname="col3">Significant positive Spearman correlation</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">between soil moisture and topographic</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">wetness index.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Crave and Gascuel-</oasis:entry>  
         <oasis:entry colname="col2">Height above the</oasis:entry>  
         <oasis:entry colname="col3">Fitted negative exponential relationship</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Odoux (1997)</oasis:entry>  
         <oasis:entry colname="col2">nearest drainage</oasis:entry>  
         <oasis:entry colname="col3">between soil moisture and height above the</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">nearest drainage.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S1.SS1">
  <title>Soil moisture variability</title>
      <p>New Zealand has some well-known experimental catchments, which offer
information on causes and effects of hydrological variability, focusing on
the soil zone. In the Mahurangi catchment in Northland, Wilson et al. (2004)
compared the variability of gridded soil moisture measurements in time vs. in
space. They found that temporal variability was approximately 5 times greater
than spatial variability. Temporal variability was highly predictable, and
explained by seasonality, whereas spatial variability was less easily
predictable and only partly explained by terrain indices. In the same
catchment, Wilson et al. (2003) compared variability of soil moisture at
0–6 cm depth vs. 30 cm depth, and found differences in distribution and
low correlations between the two depths. At Maimai catchment in Westland,
nested arrays of tensiometers were used to estimate variability in the depth
to water table. High variability was found within nests (plot scale) and
between nests (hillslope scale) (McDonnell, 1990; Freer et al., 2004).</p>
      <p>Some characteristics of the New Zealand climate and landscape may result in
locally important controls on variability. Aspect is important in New Zealand
hill country, due to high radiation and prevailing wind direction. Typically,
Penman PET is 35–50 % greater on north-facing than south-facing slopes
(Jackson, 1967; Bretherton et al., 2010), or more for sites exposed to the
prevailing WNW wind (Lambert and Roberts, 1976). At one site, these
differences translated into mean soil moisture differences of 10 %
(Bretherton et al., 2010). In a similar environment to the catchment
described in this paper (i.e. the eastern foothills of the Southern Alps,
greywacke geology), aspect-induced microclimate differences were found to
promote physical and chemical soil differences, with stronger leaching and
weathering on south-facing slopes (Eger and Hewitt, 2008).</p>
      <p>Controls on soil moisture are varied and may affect soil moisture mean (in
either space or time), distribution (Teuling et al., 2005) and dynamics such
as recession, stability or recharge rate (Kim et al., 2007). Examples from
previous (international) studies are given in Table 1. Controls can also
interact, such as soil type and topography (Crave and Gascuel-Odoux, 1997).
Even though new technologies are available to measure soil moisture and its
variation at larger scales, including remote microwave sensing (Njoku et al.,
2002) and electrical resistivity tomography (Michot et al., 2003), there is
still no accurate way of predicting soil moisture patterns, with studies
based on topography typically predicting less than 50 % of the spatial
variation (see the review by Wilson et al., 2004).</p>
      <p>High variability in soil moisture has many implications for hydrological
process understanding and modelling. There is a large body of work
investigating causes of low vs. high variability, without attempting to
predict exact spatial or temporal patterns, often using geostatistical
methods to quantify the magnitude and the scales of variation (e.g. Western
et al., 1998; Brocca et al., 2007). Causes of high variability have been
found to be dry conditions (Brocca et al., 2007), mid-wetness conditions (Ryu
and Famiglietti, 2005; Rosenbaum et al., 2012), wet or dry conditions
conditional on climate, soil and vegetation types (Teuling and Troch, 2005;
Teuling et al., 2007), increasing scale (Famiglietti et al., 2008; Entin et
al., 2000), aspects of land use and topography (Qiu et al., 2001),
groundwater influence, and contrasts between groundwater
influenced/uninfluenced areas (Rosenbaum et al., 2012).</p>
</sec>
<sec id="Ch1.S1.SS2">
  <title>Groundwater variability</title>
      <p>Studies of variability in groundwater dynamics are less common, reflecting
the greater difficulty and expense in measuring groundwater levels, but a
wide range of controls on groundwater levels have been identified. Detty and
McGuire (2010a) considered surface topography controls, by dividing the
landscape into landform units, e.g. footslopes, planar backslopes, or convex
shoulders. They found statistical differences in metrics of water table
hydrograph shape between different landform units. The water table response
increased in duration and magnitude from shoulders to footslopes, but was
most sustained on backslopes. The responses also differed between the growing
and dormant seasons. Anderson and Burt (1978) showed that topography can
control matric potential and downslope flow: at their field site, hillslope
“hollows” had specific discharge an order of magnitude higher than
hillslope spurs. Fujimoto et al. (2008) found that topography interacts with
storm size to control subsurface processes. For small storms, a concave
hillslope stored more water than a planar slope and produced less runoff,
whereas for larger storms, transient groundwater in the concave slope caused
greater expansion of the saturated area than in the planar slope, and
correspondingly greater runoff. Bachmair et al. (2012) drilled 9 transects,
each of 10 shallow wells (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 m deep) to study the effect of land use and
landscape position on variability in groundwater dynamics. They found that
patterns of groundwater response in winter reflected expansion of saturated
areas at the base of the hillslope, whereas in summer, groundwater response
was controlled by transient preferential flow networks and was highly
spatially variable. The wells with the strongest response also varied between
events. The relationship between topography and subsurface flow dynamics has
been demonstrated theoretically (Harman and Sivapalan, 2009), although
bedrock topography may be more important than surface topography (Freer et
al., 2002; Graham et al., 2010; Tromp-van Meerveld and McDonnell, 2006a, b).</p>
      <p>Other factors may also control the variability in groundwater responses,
such as variability in recharge. Gleeson et al. (2009) tracked snowmelt
recharge to groundwater using 15 bedrock wells in a humid Canadian catchment
with flat topography. In addition to widespread slow recharge, they found
fast, localised recharge in areas with both thin soils and fractured
bedrock. Riparian soils can form a fast conduit to groundwater, where a
higher fraction of gravel leads to hydraulic conductivities an order of
magnitude higher than the hillslope soils (Detty and McGuire, 2010b).</p>
      <p>Characteristics of the groundwater aquifers are also important. Winter et
al. (2008) and Tiedeman et al. (1998) monitored 31 bedrock wells and found
water table gradients caused by different geological units within a
catchment. Even in headwater catchments, variability in groundwater dynamics
has been found due to multiple underlying aquifers (Kosugi et al., 2008,
2011). In Plynlimon catchment in Wales, Haria and Shand (2004)
found that groundwater at 1.5, 10 and 30 m depth was not
hydraulically connected, and was chemically stratified, with distinct pH,
electrical conductivity and redox characteristics. Different groundwater
pathways to the stream could therefore be identified, including discharge
from fractured bedrock, and upwelling into the soil zone causing rapid
lateral flow.</p>
</sec>
<sec id="Ch1.S1.SS3">
  <title>Soil moisture–groundwater interactions and variability</title>
      <p>The division between stored water that is considered soil moisture or
groundwater is not well defined. Soil moisture is typically measured as
volumetric water content at a specific depth in the unsaturated zone,
although soil moisture sensors can be subsumed by groundwater. Here, we use
groundwater level synonymously with water table, referring to saturated
subsurface layers, which may be above or below any soil–bedrock interface.
Piezometers or shallow wells to measure groundwater level can be screened
along their whole length (as in our study) or at specific depths if multiple
perched or confined layers are suspected. Where the geology includes
fractured rock or buried lenses of gravels, groundwater levels may be highly
heterogeneous.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Catchment location and instrumentation.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f01.png"/>

        </fig>

      <p>There are many processes by which soil moisture and groundwater interact. As
soil water drains downwards, layers of low hydraulic conductivity may create
perched water tables. Such layers include clay pans (Parlange et al., 1989)
and the soil–bedrock interface (Tromp-van Meerveld and McDonnell, 2006a).
Macropores provide a fast route for groundwater recharge (Beven and Germann,
2013). They may allow water to bypass confining layers or to flow quickly
along them (e.g. lateral preferential flow along the bedrock interface found
by Graham et al., 2010). If groundwater rises into upper soil layers, large
increases in soil matrix porosity or macropores may “cap” water table
levels, as additional water is quickly transported to the stream (Haught and
Meerveld, 2011). Lana-Renault et al. (2014) found in a Mediterranean
catchment that patterns of near-surface saturation and transient water tables
were affected not only by topography, but also by soil properties and
previous agricultural land use. The riparian zone facilitates mixing between
soil water and groundwater, and tracers, temperature, electrical
conductivity, flow gauging and head differences may all be used to quantify
the interactions (Unland et al., 2013). Using modelling and tracer data,
Binley et al. (2013) found that in a 200 m river reach the upper section was
connected to regional groundwater, but lower section inflows were from local
lateral and down-river flow paths.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Fractions of stones, sand, clay for typical spur and footslope soils
at 0–30 cm depth. Sand and clay values exclude the coarse fraction.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Stones</oasis:entry>  
         <oasis:entry colname="col3">Sand</oasis:entry>  
         <oasis:entry colname="col4">Clay</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Spurs</oasis:entry>  
         <oasis:entry colname="col2">30–80 %</oasis:entry>  
         <oasis:entry colname="col3">10–50 %</oasis:entry>  
         <oasis:entry colname="col4">10–25 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Footslopes</oasis:entry>  
         <oasis:entry colname="col2">5–20 %</oasis:entry>  
         <oasis:entry colname="col3">5–40 %</oasis:entry>  
         <oasis:entry colname="col4">20–35 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Interactions between soil moisture and groundwater provide possible
explanations for relationships between the two. Results from three Nordic
catchments showed a consistent negative correlation between soil moisture
content and depth to water table, so that soil moisture distributions could
be described as a function of depth to water table (Beldring et al., 1999).
Kaplan and Munoz-Carpena (2011) studied soil moisture regimes in a coastal
floodplain forest in Florida, and showed that groundwater and standing
surface water elevations were successful predictors of soil moisture using
dynamic factor analysis and regression models. Model-based studies
demonstrate how capillary rise can lead to dependencies between groundwater
level and soil moisture. Kim et al. (1999) used a hillslope model to show how
gravity-driven downhill groundwater flow creates downslope zones with high
water tables. In those areas, capillary rise keeps soil moisture content and
evaporation rates high. Similarly, the model developed by Chen and Hu (2004)
showed that soil moisture in the upper 1 m of soil was 21 % higher when
exchange between soil moisture and groundwater was included; they inferred
that groundwater variability may drive soil moisture variability.</p>
</sec>
</sec>
<sec id="Ch1.S2">
  <title>Study area</title>
      <p>The Langs Gully catchment is located in the South Island of New Zealand, in
the headwaters of the Waipara River that has its source in the foothills of
the Southern Alps before emptying onto alluvial plains (Fig. 1). Langs Gully
is typical of the Canterbury foothills landscape. This area is the source of
many rivers and aquifers that provide essential irrigation water for the
drier and intensively farmed plains; however, the hydrology of the area is
poorly understood.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Fractions of stones and sand for typical footslope soils at
0–30 and 30–60 cm depth.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Stones</oasis:entry>  
         <oasis:entry colname="col3">Sand</oasis:entry>  
         <oasis:entry colname="col4">Clay</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">0–30 cm</oasis:entry>  
         <oasis:entry colname="col2">5–20 %</oasis:entry>  
         <oasis:entry colname="col3">5–40 %</oasis:entry>  
         <oasis:entry colname="col4">20–35 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">30–60 cm</oasis:entry>  
         <oasis:entry colname="col2">35–80 %</oasis:entry>  
         <oasis:entry colname="col3">10–40 %</oasis:entry>  
         <oasis:entry colname="col4">20–35 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Catchment aerial photo, topography and soils.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f02.png"/>

      </fig>

      <p>The 0.7 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> catchment ranges from 500 to 750 m in elevation, and is
drained by two tributaries. Annual precipitation ranges from 500 to
1100 mm yr<inline-formula><mml:math 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>, with a mean of 943 mm yr<inline-formula><mml:math 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>. In winter the
catchment has relatively frequent frosts and occasional snow. The land cover
is grazed pasture for sheep and beef cattle farming, with a partial cover of
sparse Matagouri (<italic>Discaria toumatou</italic>) shrub. The geology is
greywacke, a hard sandstone with poorly sorted angular grains set in a
compact matrix. Soils are shallow gravelly silt loams derived from the
underlying greywacke, and were classified as midslope, footslope or spur
(Fig. 2), based on expert knowledge and the S-MAP New Zealand soils map
(Lilburne et al., 2004), which uses soil survey data, and topography-based
interpolation (Schmidt and Hewitt, 2004). The mapping also provided estimates
of fractions of stone, sand and clay for each soil type. Fractions of stone
and sand decreased from spurs to footslopes, while fractions of clay
increased (Table 2). Stone and sand fractions increase with depth for all
soils (e.g. the footslope constituents shown in Table 3). During installation
of soil moisture sensors (Sect. 3.2), we found distinct gravel-rich layers
within the soil profile at 6 out of 16 locations.</p>
</sec>
<sec id="Ch1.S3">
  <title>Materials and methods</title>
      <p>The aim of our experimental design was to study the temporal and spatial
variability in water storage within the catchment. We installed sensors to
measure rainfall, climate variables, streamflow, soil moisture and depth of
shallow groundwater. Our aim was to take measurements at locations
representing the variability of hydrological conditions within the catchment,
and where possible to co-locate sensors in order to understand relationships
between different water stores. We selected two hillslopes for detailed
measurements of soil moisture and shallow groundwater, with different aspects
(northern and southern) (Fig. 1).</p>
      <p>To support the sensor data, we took aerial photos and used GPS mapping to
create a digital elevation model of the catchment (Fig. 2). Aerial photos
were only taken on the slope above the north-facing sites; GPS point spacing
was also closer in this area. A soils map was created using a combination of
nationally available data and a field survey (Fig. 2).</p>
<sec id="Ch1.S3.SS1">
  <title>Climate and streamflow monitoring</title>
      <p>A compact weather station was located centrally within the catchment
(Fig. 1). It uses a Vaisala WXT520 weather transmitter, which measures wind
speed and direction, air temperature, barometric pressure and relative
humidity. A LiCOR LI200 pyranometer measures solar radiation. Rainfall was
measured using an OTA OSK15180T 0.2 mm resolution tipping bucket gauge. All
weather measurements were at 5 min intervals.</p>
      <p>Streamflow was measured at three locations within the catchment (Fig. 1), all
at 5 min intervals. Only data from the downstream gauge, a v-notch weir,
were used in this paper. Periodical manual gaugings were used to confirm the
theoretical weir flow rates.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Soil moisture and shallow groundwater monitoring</title>
      <p>Soil moisture and water table level were monitored by 16 instrument stations.
The stations are divided into two groups: 10 on the north-facing slope, and
6 on the south-facing slope.</p>
      <p>Our typical measurement site included an Acclima TDT soil moisture sensor at
30 cm (base of the root zone) and 60 cm, which were used with factory
calibration as recommended by the manufacturer (Acclima, 2014). The sites
also included a well drilled to a fixed depth of 1.5 m (except where a high
fraction of stones prevented the full depth being reached) equipped with a
Solinst levelogger to measure water level. The wells were sealed for the top
0.5 m to prevent ingress of surface water, with open screening below this.
On each hillslope, we centred the sites around a shallow gully surface
feature, with sites in the centre of the gully and on each bank. The sites
were designed in two rows, at 10 m and 20 m from the stream centreline
(Fig. 1). In this way, we aimed to sample across multiple variables of
aspect, slope position and distance from stream. All sensors recorded at
5 min intervals, which were typically aggregated to 15 min before further
analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Time series of average soil moisture and groundwater level for the
complete study period.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f03.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Telemetry</title>
      <p>Each station aggregates sensor data and discards unneeded data. Each group is
associated with a “master” station that polls the individual stations every
5 min for their sensor data. The master station comprises a Unidata
Satellite NRT datalogger and a proprietary short-haul radio interface. The
data received by the master station are stored temporarily in the logger
until they can be relayed to a central database via satellite. Data in the
central database are available to end users
via internet and e-mail. To conserve power in the solar-recharged batteries,
the sensors and radio system are only powered up to respond to data requests.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Study period</title>
      <p>The data used in this paper were collected between March 2012 and July 2013
(Fig. 3). Climate and flow data are available for 14 months prior to this
date. The largest rainfall event in the study period occurred in August 2012,
which brought 80.6 mm of rainfall in 2 days, approximately a 1-in-2 year
rainfall event when compared against the 62 year daily rainfall record from
Melrose station, 2.0 km from the catchment. The 2012–2013 summer was
unusually dry in many parts of New Zealand but, at Melrose, the summer months
December/January/February recorded a rainfall total of 196 mm, only
marginally below the long-term average of 210 mm.</p>
      <p>Some data gaps occurred during the study period, with short outages due to
sensor or battery failure. A long outage occurred in the aftermath of the
storm event in August 2012, which caused water damage to the telemetry system
on the north-facing slope.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <title>Calculation of descriptive statistics</title>
      <p>To provide an overview of the soil moisture content and groundwater level for
different time/space locations, a selection of summary statistics was used.
To summarise the distribution of data, we calculated the median and 5th,
25th, 75th and 95th percentiles for each data series. This allowed us to
compare absolute soil water content and groundwater level between sites.
However, we also wanted to compare the extent to which each location is
likely to contribute to runoff, especially as runoff generation is typically
conceptualised as a threshold process (Ali et al., 2013). We therefore
additionally used statistics that described the wet extremes of the data. For
soil moisture, we calculated the percentage of time that the soil was
saturated, as this represents the condition where the location would generate
subsurface flow and, if saturation reached the soil surface, overland flow.
Soil saturation points were defined individually for each sensor, using the
co-located groundwater well record to determine times when the water table
intersected the sensor, and taking the average soil moisture reading at those
times. These values were confirmed (and in two cases adjusted) based on
visual inspection of the soil moisture time series. For groundwater level, we
calculated the percentage of time that the water table level was above the
75th percentile. This quantifies locations where groundwater is closer to the
surface and would therefore have faster lateral velocity according to typical
findings that hydraulic conductivity decreases rapidly with depth (Beven and
Kirkby, 1979).</p>
      <p>To understand how total water storage in the catchment changes through the
year, we estimated the water stored in the soil moisture and groundwater
components. For soil moisture, we divided the catchment by soil type,
according to the classification described in Sect. 2. For each type, we
estimated total soil depth as the deepest functional soil horizon described
in the S-Map database (Lilburne et al., 2004). The fraction soil moisture for
soil from 0 to 45 cm depth was taken from the 30 cm sensor, and soil
moisture for 45 cm depth to the base of the soil column was taken from the
60 cm sensor. For each time step, we derived the total soil moisture volume
as

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mtext>Total soil moisture</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="[" close="]"><mml:msup><mml:mtext>m</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mfenced><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mtext>SoilType</mml:mtext></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mtext>Aspect</mml:mtext></mml:munder><mml:mfenced open="[" close=""><mml:mtext>Area</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="[" close="]"><mml:msup><mml:mtext>m</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced open="." close="]"><mml:mo>⋅</mml:mo><mml:mtext>Soil depth[m]</mml:mtext><mml:mo>⋅</mml:mo><mml:mtext>fraction soil moisture</mml:mtext></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Dividing by total catchment area then gave average depth of soil water.</p>
      <p>For groundwater, we do not know the total aquifer depth, and therefore use
instead groundwater depth above minimum recorded. For each time step, we
derived the variable groundwater storage above minimum as

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mtext>Total groundwater</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="[" close="]"><mml:msup><mml:mtext>m</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mfenced><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mtext>Aspect</mml:mtext></mml:munder><mml:mfenced close="" open="["><mml:mtext>Area</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="[" close="]"><mml:msup><mml:mtext>m</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mfenced><mml:mo>⋅</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mtext>Wells</mml:mtext></mml:munder></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mfenced close="]" open="."><mml:mfenced open="(" close=")"><mml:mtext>GW level</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>[</mml:mo><mml:mtext>m</mml:mtext><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mtext>Min</mml:mtext><mml:mo>.</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>GW level</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mtext>m</mml:mtext><mml:mo>]</mml:mo></mml:mfenced><mml:mo>/</mml:mo><mml:mtext>Number of wells</mml:mtext></mml:mfenced><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Dividing by total catchment area then gave average depth of groundwater above
minimum.</p>
      <p>We recognise that this calculation involves a significant and uncertain
extrapolation from the 32 soil moisture time series to the remainder of the
0.7 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> catchment. However, given that the sensor locations were
installed across aspect, distance from stream, and landscape position and
depth, we anticipate that the estimated storage dynamics are a reasonable
guide to true behaviour. We also note that, in the riparian zone, some water
will be double counted where the groundwater rises into the soil column.
However, given that this occurred only in near-stream locations, i.e. within
10 m of the stream centreline, this volume would be negligible compared to
the total catchment storage.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS6">
  <title>Event separation</title>
      <p>To compare rainfall and runoff depths for individual storm events, and to
identify seasonal changes in the rainfall–runoff relationship, the data were
pre-processed to define storm and inter-storm periods, based on the method of
McMillan et al. (2014). The start of a storm was defined by a minimum
rainfall intensity: either 2 mm h<inline-formula><mml:math 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> or 10 mm day<inline-formula><mml:math 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> was
required. The end of the storm was defined when 12 h without rainfall
occurred. Runoff for a maximum of 5 days after rainfall ended, or until a new
storm started, was deemed to be associated with the storm event. No baseflow
separation was used.</p>
</sec>
<sec id="Ch1.S3.SS7">
  <title>Wetting events</title>
      <p>To compare the frequency and strength of soil moisture responses to rainfall
for different locations, we used the concept of a “wetting event”. A
wetting event was defined as a period of rainfall during which soil moisture
rose by at least 3 %. We calculated events on a per-site basis, and then
averaged across sites, either for northern/southern aspects or
near-stream/far-stream sites. The average % soil moisture rise was used as
an indication of the strength of response.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Temporal controls on soil moisture and groundwater</title>
      <p>Both soil moisture and groundwater level show strong variations over event
and seasonal timescales. Figure 3 shows soil moisture, and depth to
groundwater for the study period; for clarity we average the 32 soil
moisture sensors and 14 water level sensors by location (aspect, depth and
distance from stream).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Summary statistics of soil moisture and depth to water table by
season. <bold>(a)</bold> Distributions of measured values. <bold>(b)</bold> Summary
of wet extremes.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f04.pdf"/>

        </fig>

      <p>In Fig. 4, we show the summary measures for each season. The summary
statistics show that both the mean and extremes of catchment water storage
vary seasonally. The yearly cycle of soil moisture (Fig. 3) shows an extended
wet season from April/May to November, followed by a slow drying until
February, when the catchment reaches its summer state. The return to wet
conditions occurred over a very short time period during a May storm event.
Water table dynamics also display a yearly cycle (Fig. 4), although the range
during any season is large compared to seasonal changes. As shown in Fig. 4a,
soil moisture quantiles are typically lowest in summer, and water tables are
lowest in summer and autumn. The driest conditions in terms of extremes
(Fig. 4b) occurred in late summer for both soil moisture and water table, and
remain low into autumn, particularly for the water table, suggesting that the
lowest potential for runoff generation occurs at that time. Note that the
autumn season values represent an average between the wetter conditions of
the 2012 autumn and the drier conditions of the 2013 autumn; for example,
mean autumn (March–May) soil moisture at 0–30 cm for the upper rows of
sensors was 17.9 % for 2012, 15.2 % for 2013.</p>
      <p>Rainfall events are superimposed on the seasonal cycle. In winter, the large
events cause saturation at many of the soil moisture sensors, and water
tables rise in many of the wells, including some in the upper row where the
water table was previously lower than the well. In early summer, rainfall can
return soil moisture and water tables to winter levels, but only briefly. In
summer, the catchment response to rainfall is highly subdued.</p>
      <p>The strong seasonality of catchment conditions is due to seasonality in PET.
Although rainfall depths are similar throughout the year, in summer the
combination of higher temperatures, high solar radiation and frequent hot,
strong winds from the northwest contributes to seasonal drying of the
catchment. The effects are illustrated by storm runoff depths in winter vs.
summer (Fig. 5a). In summer, even large rainfall events produced almost no
streamflow response. To demonstrate the effect of antecedent wetness on storm
runoff depths, we plotted runoff depth against the sum of antecedent soil
moisture storage (ASM) and storm precipitation (Fig. 5b), following Detty and
McGuire (2010b; their Fig. 4a). Antecedent soil moisture storage was taken as
the total soil moisture value from Eq. (1). The results show a threshold
relationship between ASM <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> precipitation and runoff depth, although it is
not linear, as was found by Detty and McGuire (2010b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p><bold>(a)</bold> Storm runoff against storm precipitation, split by
season. The definition of a storm event is described in Sect. 3.6. No
baseflow separation was used, leading to two events where storm runoff
includes a component of pre-storm water and exceeds storm precipitation.
<bold>(b)</bold> Storm runoff against the sum of storm precipitation and
antecedent soil moisture storage (ASM), split by season. ASM was taken as the
total soil moisture value from Eq. (1).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f05.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Spatial controls on soil moisture and groundwater</title>
      <p>Figure 3 shows distinct differences between the water storage dynamics on
north-facing and south-facing slopes, and between the far-stream and
near-stream rows of soil moisture sensors. The near-stream sensors on the
south-facing slopes showed more frequent and pronounced wetting events, as
defined in Sect. 3.7 (Table 4). South-facing slopes at 60 cm depth had
33 % more wetting events that were on average 22 % larger than
north-facing slopes at 60 cm depth.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Summary statistics of soil moisture and depth to water table by
location. <bold>(a)</bold> Distributions of measured values. <bold>(b)</bold> Summary
of wet extremes.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f06.pdf"/>

        </fig>

      <p>Spatial controls act differently on different water stores. These differences
are illustrated in Fig. 6, using the same summary statistics as in the
previous section, but grouping sites by aspect and distance from stream. We
did not include water table statistics for the far-stream rows as water
tables only rarely rose into the wells, and therefore distribution estimates
would not be accurate. Figure 6a shows that when comparing north-facing
vs. south-facing slopes, soil water content at 30 cm has similar
distributions, but the underlying groundwater level is on average 20 cm
closer to the ground surface for the south-facing slopes, and has a smaller
range. Spatial controls also act differently on average vs. extreme
conditions; e.g. average soil moisture on the south-facing slope is similar
at 30 and 60 cm depths (Fig. 6a), but the fraction of time that the soil was
saturated is 11 % at 60 cm against 0.5 % at 30 cm (Fig. 6b). Note that
the statistics describing the extremes of the data are highly variable
between locations (e.g. some locations are saturated much of the time;
others, almost never); however, we show averages by location to assist
interpretation of the spatial control.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Temporal changes in total water storage and variability</title>
      <p>To quantify the relative importance of different water storage components of
the catchment, we calculated the average depth of water stored as soil
moisture and groundwater using the method described in Sect. 3.5 (Fig. 7a).
The groundwater component dominates, with an average depth of 0.27 m against
0.15 m for soil moisture. The difference may be further enhanced given that
the part of the soil moisture volume below wilting point is not likely to be
mobilised. The difference is most pronounced in the wettest conditions, with
groundwater storage peaking at approximately 4 times that of soil moisture.
During the driest summer conditions, groundwater and soil moisture storage
are similar.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><caption><p>Number and size of soil moisture wetting events by aspect and
distance from stream, where a wetting event is defined as a period of
rainfall during which soil moisture at that location rose by at least 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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Number of</oasis:entry>  
         <oasis:entry colname="col3">Mean soil</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">wetting</oasis:entry>  
         <oasis:entry colname="col3">moisture</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">events</oasis:entry>  
         <oasis:entry colname="col3">increase</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">in the 10</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">largest</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">events</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">South-facing</oasis:entry>  
         <oasis:entry colname="col2">Near-stream</oasis:entry>  
         <oasis:entry colname="col3">16</oasis:entry>  
         <oasis:entry colname="col4">16 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Far-stream</oasis:entry>  
         <oasis:entry colname="col3">12</oasis:entry>  
         <oasis:entry colname="col4">6 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">North-facing</oasis:entry>  
         <oasis:entry colname="col2">Near-stream</oasis:entry>  
         <oasis:entry colname="col3">12</oasis:entry>  
         <oasis:entry colname="col4">12 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Far-stream</oasis:entry>  
         <oasis:entry colname="col3">9</oasis:entry>  
         <oasis:entry colname="col4">6 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p><bold>(a)</bold> Average depth of water stored in the catchment as soil
moisture and groundwater. <bold>(b)</bold> Spatial standard deviation of soil
moisture values, by aspect and depth. <bold>(c)</bold> Spatial standard deviation
of groundwater levels, by aspect.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f07.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p><bold>(a)</bold> Response of selected sensors to a March rainfall event.
First and second panels: soil moisture responses in north-facing and
south-facing slopes respectively. Colours are used only for visual clarity.
Third panel: depth to water table. Fourth panel: storm precipitation.
<bold>(b)</bold> Spatial overview of strength of soil moisture and water table
sensor responses to the March rainfall event.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f08.pdf"/>

        </fig>

      <p><?xmltex \hack{\newpage}?>To visualise the changes in variability for each store over time, we plotted
the time series of spatial standard deviation in soil moisture and
groundwater, separated by aspect and sensor depth (Fig. 7b and c). All stores
have the highest standard deviation in winter, and the lowest in summer, as
the range in values tends to be compressed as the catchment dries out.
Previous studies have shown that the relationship between soil moisture and
soil moisture standard deviation varies by catchment (Sect. 1.1). Soil
moisture at 60 cm maintains a high standard deviation even during summer, as
both slopes have one sensor that retains high soil moisture and therefore has
a strong influence on the standard deviation.</p>
      <p>All of the soil moisture standard deviations rise sharply during rainfall
events, especially in winter, which is due to saturation of some sensors,
while others remained unsaturated. Accordingly, soil moisture at 30 cm on
the north-facing slope has smaller rises in the spatial standard deviation,
as none of those sensors showed saturation. Groundwater standard deviation
has a different behaviour by aspect: on the north-facing slope, rainfall
events cause the standard deviation to rise; on the south-facing slope,
rainfall events cause the standard deviation to fall. This finding reflects
that, on the south-facing slope, all wells react to rainfall events, albeit
at different rates, but on the north-facing slope, behaviour is more
variable, with one well often showing no response (i.e. water table lower
than 1.5 m), and other wells split between a weak or strong response.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Controls on variability</title>
      <p>As was apparent from the time series of streamflow, soil moisture and water
table depth presented in Sect. 3.1, there is significant spatial
variability between different parts of the catchment as represented by the
range of sensor locations, but this variability is not constant. In this
section, we investigate the specific types of variability that occur, and
seek to attribute them to different catchment conditions.</p>
      <p>We found that an overarching driver of variability is the wetness condition
of the catchment. As shown in Fig. 5, there is a strong seasonal
differentiation in runoff coefficients. This seasonal cycle determines which
of the catchment water stores are active, and where the greatest scope for
variability exists. To assist our description of the seasonal changes in
variability, we selected one event that illustrates each variability type. We
selected the following events: dry period: 17–27 March 2013, 15.9 mm
rainfall; wet period: 5–25 October 2012, 164.9 mm rainfall; winter wet-up:
15–30 April 2013, 80.0 mm rainfall; recession period:
7 September–5 October 2012.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p><bold>(a)</bold> Response of selected sensors to a winter rainfall
event. First and second panels: soil moisture responses in
north-facing and south-facing slopes respectively. Dark lines show sensors
where saturation occurred. Third panel: depth to water table by well
location. Fourth panel: storm precipitation and flow measured at the
catchment outlet. <bold>(b)</bold> Overview of saturation response to the winter
rainfall event. <bold>(c)</bold> Overview of rate of water table response to the
winter rainfall event.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f09.pdf"/>

        </fig>

<sec id="Ch1.S4.SS4.SSS1">
  <title>Dry-period variability caused by partial catchment response</title>
      <p>During the driest conditions, some locations show a hydrological response –
an increase in soil moisture or water table rise – to a rainfall event,
while the others show little or no reaction. The time of onset of this type
of variability varies with depth for the soil moisture probes; i.e. 60 cm
probes stop reacting earlier in the summer than 30 cm probes. The fact that
shallow probes are more likely to react during dry conditions suggests that
the variability is caused by infiltration of precipitation that only reaches
a limited depth below the surface. An example is given in Fig. 8a, which
shows the response of selected sensors to the March rainfall event. Figure 8b
shows a spatial overview of all sensor responses for the same event. For this
event, eight of the 30 cm soil moisture probes showed a strong response,
compared to three of the 60 cm soil moisture probes and three of the wells.
There were two locations where the 60 cm probes responded but the 30 cm
probes did not. As water tables were always below 60 cm, these cases suggest
macropore flow that bypassed the upper sensor. Four out of the 10 soil
moisture probes at 30 cm on the north-facing slope showed no response,
compared to 1 out of 6 on the south-facing slope. This difference may be due
to drier antecedent conditions on the north-facing slope; north-facing
sensors had a mean soil moisture of 9.6 % prior to the rainfall event,
compared to 11.4 % for the south-facing sensors. Soil texture differences
related to aspect may also play a role: south-facing sensor locations were
found to have higher clay content and higher stone content than the
north-facing locations.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS2">
  <title>Wet-period variability caused by partial saturation and groundwater response timing</title>
      <p>In winter, the catchment is typically in a continuously wet state, and all
sensors respond to rainfall events. Variability between sensors is introduced
because some locations experience saturation (either transiently or for
prolonged periods), while others do not. Saturation is characterised by high
peaks or plateaux in the soil moisture signal. For both the north-facing and
south-facing slopes, saturation occurs earlier and more extensively for
probes at 60 cm than at 30 cm, and is limited to the sites at 10 m from
the stream, suggesting a rise in the catchment water table to these probes,
rather than transient or perched saturated layers in the soil column.
Cross-checking against measured groundwater levels also shows that the peaks
in the water tables reach the soil moisture sensors showing saturation,
although they do not typically reach the land surface. Wells in the upper
locations may also react at this time. The rise in the near-stream water
table into the soil is consistent with our knowledge of the soil and bedrock
structures, as there are no evident confining layers, but rather an increase
in cobbles and rock fragments with depth.</p>
      <p>Figure 9 gives an example of the response of soil moisture and groundwater
level to a series of storm events in October (three distinct peaks over
15 days) occurring on the already-wet catchment. Saturation only occurs in
30 or 60 cm probes when the lower probes also show saturation. Three out of
four locations where saturation at the 60 cm probes occurred in this event
were locations that showed a water table response during the summer event
previously described. All locations that had a water table response in the
summer event also had a water table response during this event. The
consistency of locations suggests that relative groundwater levels are
maintained across seasons, with the same locations always the most likely to
display a groundwater response. These locations were not related to the
gully/ridge features in the catchment, in conflict with our prior hypothesis,
but instead may indicate preferential groundwater flow paths which channel
water from the upper slopes. Such preferential paths were previously reported
at Maimai catchment where there is a clearly defined soil–bedrock interface
(Graham et al., 2010; Woods and Rowe, 1996); our results suggest a similar
outcome in the Langs Gully catchment despite the gradual transition from soil
to broken bedrock. The cross-slope gradients needed to generate the
preferential paths could be caused by deeper bedrock structures, or by local
areas with high permeability such as the gravel-rich soil layers observed
during installation of the soil moisture sensors. At Maimai, Woods and
Rowe (1996) suggested that preferential flow paths were caused by temporary
hydraulic gradients in the soil, and variations in vertical drainage due to
patterns of soil moisture deficit.</p>
      <p>Figure 9a (third panel) shows distinct differences in the timing of the
groundwater response between locations. In some locations, there is a fast
groundwater peak followed by a fast decline. In other locations, the
groundwater rises more slowly, reaching a peak approximately 24 h later
than the fast-response site, and is much slower to decline. The
characterisation of each site as either a fast or slow responder is
consistent through the three consecutive events. During some storm events,
these two response types cause a double peak, or prolonged flat peak, in the
storm hydrograph (lower panel). The differing responses are mapped in Fig. 9c.
There is some spatial correlation with the saturation response shown in
Fig. 9b, whereby locations with a flashy groundwater response correspond
to locations where saturation occurred at the 60 cm soil moisture sensor.
Locations where the water table was detected in the upper row of sensors
were classified as slow groundwater responses (i.e. a later and prolonged
peak), but they peak slightly before the downslope slow-response sites,
which could indicate a delayed groundwater flow path from upslope.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Distributions of soil moisture and depth to water table, classified
as saturating/non-saturating sites, and fast/slow groundwater response sites.
Saturating sites were defined as those where the water table rose as high as
the 30 cm soil moisture probe at any point during the study period.
Fast/slow sites were classified according to the rate of groundwater response
as described in Sect. 4.4.2 and Fig. 9c.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f10.pdf"/>

          </fig>

      <p>Our results suggest that relative groundwater levels, and the classification
of sites as fast or slow groundwater responses, are consistent between
events. Previous work reviewed in the introduction (Sect. 1.3) showed that
groundwater level can influence soil moisture distribution. We therefore
hypothesise that groundwater behaviour might help to define distinct spatial
zones of the catchment. To test this, we firstly classified sites by maximum
groundwater level, separating sites where the water table rose as high as the
30 cm soil moisture probe at any point during the study period (“saturating
sites”), against those where it did not (“non-saturating sites”). We only
used near-stream sites to remove the influence of distance to stream.
Secondly, we classified sites by the rate of groundwater response, as
described in the previous paragraph. Other sites where only the peaks of
groundwater responses reached the shallow well were not included, as these
sites could not be easily classified. We calculated the distributions of the
soil moisture and water table level for each classification (Fig. 10). The
results show that the saturating vs. non-saturating classification clearly
delineates two zones with consistent differences in soil moisture content at
30 and 60 cm, and water table level. The fast vs. slow groundwater response
classification is much less distinct, with the two zones having similar soil
moisture distributions. The slow groundwater response zone has slightly
deeper water tables, although this is partly because it includes two
far-stream sites.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS3">
  <title>Variability in seasonal dynamics: winter wet-up</title>
      <p>The wetting up of the catchment at the start of winter is a major event
(Fig. 3). In 2013 this occurred in late April, quickly transitioning the
catchment from its dry summer state to the wet state that it maintained
throughout the winter. The typical pattern for soil moisture is a sharp rise
over less than 24 h (e.g. Fig. 11a, red lines); however, some locations have
a more gradual response (Fig. 11a, blue lines). On the south-facing slope,
this sharp rise is reflected in a sharp water table rise in some locations,
and a more gradual rise in others. On the north-facing slope, the water table
rises only gradually in all locations (Fig. 11b and c). The two locations on
the north-facing slope with gradual soil moisture response had a soil layer
containing larger rocks (5–10 cm diameter) at 45–60 cm depth. This
feature may promote fast drainage and therefore slow the soil wetting
process.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Winter wet-up response of selected soil moisture and water table
sensors. <bold>(a)</bold> Soil moisture on the north-facing slope. Red lines show
locations with a fast wet-up; blue lines show locations with a gradual
wet-up. <bold>(b–C)</bold> Depth to water table at north-facing and south-facing
slopes. Colours are used only for visual clarity.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f11.pdf"/>

          </fig>

      <p>The winter wet-up is a critical event in terms of flow prediction, as was
previously shown in Fig. 5, which illustrates the stark differences in runoff
coefficients in winter vs. summer. However, the spatial variation shown here
in the rate and magnitude of the wet-up illustrates that it is a complex
phenomenon which occurs differently for hillslopes with a different aspect.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Selected north-facing 30 cm soil moisture sensor responses during a
recession, having convex, concave or mixed response function shapes.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f12.pdf"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS4.SSS4">
  <title>Variability in event dynamics: recession characteristics</title>
      <p>During a dry period, soil moisture, water table and flows undergo a
recession. It is common to collate flow recessions to specify a master
recession shape which can then be used directly to calculate model parameters
related to baseflow generation. Recessions are typically expected to be a
convex function of time; initial drying occurs quickly from loosely bound
water, but drying slows as only more tightly bound water remains. In the
Langs Gully catchment, we were surprised to find strong variations in
recession shapes. This is illustrated in Fig. 12, which shows the recession
shapes of soil moisture at 30 cm on the north-facing slope after a September
rainfall event, including both convex and concave shapes. We found that, at
different times of the year, the same soil moisture sensor at the same soil
moisture content could display either convex or concave behaviour, suggesting
that this finding is not an artefact of the soil moisture sensor calibration
or the particular soil tension characteristics. We also found that the shape
(i.e. convex or concave) of the corresponding 60 cm soil moisture response
was typically the same as the 30 cm sensor (not shown). It can also occur
across the range of soil moisture contents. Instead, the difference in
recession shapes could be due to either transient downslope flow towards the
sensor, similar to the theoretical case described by Henderson and
Wooding (1964), or seasonally varying vegetation characteristics. For
example, the unusual concave responses could be due to plants exhausting
near-surface soil water stores and therefore starting to extract water from
the slightly deeper location of the soil moisture sensor.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Summary and implications of variability</title>
      <p>Our results have shown multiple modes of spatial and temporal variability in
storage in the Langs Gully catchment. Here we summarise the temporal
variability in soil moisture and groundwater, followed by spatial variability
in soil moisture and groundwater. We then consider connections between them,
i.e. temporal changes in spatial variability. Lastly we consider implications
of variability for catchment runoff response and prediction.</p>
<sec id="Ch1.S5.SS1">
  <title>Temporal variability</title>
      <p>Temporal variability is characterised by a strong seasonal cycle in catchment
wetness; the mean and extremes of the soil moisture and water table
distributions are higher in winter than summer. The cycle is driven by PET
rather than rainfall depth, and causes significantly higher runoff
coefficients in winter. The seasonal cycle in soil moisture shows a long,
high winter plateau compared to water table levels that respond mainly to
individual events. The catchment wets up quickly in autumn, but takes longer
to dry out in spring, and spring rainfall can briefly return soil moisture
and water table levels to their winter state. The volume of stored water in
the catchment also has a seasonal cycle, mostly due to increased groundwater
in winter, especially during the largest storms.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Spatial variability</title>
      <p>Spatial variability is controlled most strongly by aspect and distance from
stream. South-facing slopes have similar mean soil moisture to north-facing
slopes, but more events lead to a soil moisture response, and experience soil
saturation more often. Water table levels are higher in south-facing slopes
and more consistent between locations within the south-facing slope.
Near-stream locations have higher soil moisture for both mean and extremes,
and experience more wetting events. Near-stream locations frequently record
saturation in winter, whereas far-stream locations have water tables below
the soil moisture sensors and the 1.5 m wells for almost the whole study
period. We found a strong interaction between groundwater level and soil
moisture distribution. Sites where water tables peaked above the 30 cm
sensor had a significantly higher soil moisture distribution compared to
sites where water table remained below 30 cm for the whole study period. The
finding that soil moisture distribution is dependent on water table depth
agrees with measurements in Nordic catchments by Beldring et al. (1999).</p>
      <p>Our conclusion that aspect is an important control on soil moisture echoes
the results of previous studies in NZ hill country (e.g. Bretherton et al.,
2010; Lambert and Roberts, 1976). The mechanisms linking aspect with soil
moisture are varied. For example, Lambert and Roberts (1976) found complex
interactions between air temperature, soil temperature and ET, driven by wind
direction and aspect-induced radiation differences. They note that the
specific heat capacity of soil drops as it dries, leading to a positive
feedback cycle. In the Langs Gully catchment, the south-facing slopes are
also steeper than the north-facing slopes. This is not obviously due to
geological bedding – the main trend of syncline–anticline pairs in the
wider Waipara catchment is northwest–southeast (transverse to catchment
slopes), and in the immediate area of Langs Gully, known dip directions are
highly variable. However, feedbacks are likely to exist between slope angle,
vegetation (denser shrub cover on south-facing slopes), soil depth (thinner
on south-facing slopes) and downslope sediment transport. Shading by denser
vegetation and increased lateral flow are possible causes of the increased
number of wetting events on the south-facing slope. Typical hydrological
models do not account for aspect, but our results suggest that this is an
important factor to consider in hillslope runoff generation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Schematic diagram of the seasonal cycle of catchment variability
between “Summer mode” and “Winter mode”.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.hydrol-earth-syst-sci.net/19/1767/2015/hess-19-1767-2015-f13.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS3">
  <title>Temporal changes in spatial variability</title>
      <p>We suggest that spatial variability can be classified as being in “summer
mode” or “winter mode”. These modes are illustrated as a schematic diagram
in Fig. 13. In “summer mode”, variability is controlled by shallow
processes, e.g. interaction of water with soils and vegetation. Water does
not typically penetrate to deeper soil moisture or groundwater. Summer
variability is therefore disconnected from the channel, and will not directly
affect the flow response. However, summer variability affects land surface
processes such as evapotranspiration, and may have a lagged effect on the
autumn/winter wetting-up process. An example of the disconnect is that the
30 cm soil moisture sites that reacted most strongly to the selected summer
rainfall event did not correspond to the “saturating” sites identified in
Sect. 4.4.2 as having consistently wetter soil moisture and shallow water
tables.</p>
      <p>In “winter mode”, variability is controlled by deeper processes, e.g.
groundwater movement and bypass flow. The change from shallow vertical flow
in dry conditions to vertical bypass flow and lateral flows from upslope in
wet conditions is very similar to that found by Detty and McGuire (2010a).
However, the summer and winter modes in Langs Gully differ from those found
by Bachmair et al. (2012). In their catchment, intense summer storms onto dry
soil caused preferential flow and fast, strong, spatially variable water
table responses throughout the hillslope. In contrast, their winter storms
led to slower water table responses that were strongest at near-stream
locations.</p>
      <p>In the shoulder seasons, there is a spatially variable shift between the
summer and winter modes. Sensors in near-stream locations, particularly those
with responsive water tables, stay longer in winter mode. As locations switch
between summer and winter modes at varying rates, spatial variability is
increased. This effect is particularly evident on the north-facing slope,
where soil moisture standard deviation at 30 and 60 cm has a sustained rise
during the spring drying period. Rosenbaum et al. (2012) similarly found that
seasonal differences between groundwater-influenced and groundwater-distant
locations had a strong effect on soil moisture standard deviation. This
effect provides one explanation for why high spatial and temporal
variabilities tend to co-occur, as has been found in previous work in New
Zealand (McMillan et al., 2014).</p>
</sec>
<sec id="Ch1.S5.SS4">
  <title>Implications for prediction of runoff generation</title>
      <p>It is common for some parts of the Langs Gully catchment to wet up or become
saturated, and hence potentially contribute to a runoff response, while other
parts of the catchment remain dry. Near-stream and south-facing locations
have higher water tables and experience more wetting events. We were able to
classify the near-stream sensors into “saturating zones” and
“non-saturating zones”. The saturating zones had higher water table and
wetter soil moisture distributions. These zones remained distinct throughout
the year.</p>
      <p>The saturating zones are likely to be dominant areas for runoff generation,
as wetter soils facilitate vertical drainage and high water tables increase
lateral transmissivity. For example, Jencso et al. (2010) found that
connectivity between hillslopes and riparian zones led to fast turnover times
of riparian groundwater. However, the saturating/non-saturating zones did not
correspond to the pattern of sensors wetted by infiltration during a summer
storm event. The different patterns imply that shallow soil moisture storm
responses may not provide a good guide to winter runoff generation pathways,
as also found by Tromp-van Meerveld and McDonnell (2005). Rainfall–runoff
model structures that delineate catchment landscape components according to
dominant processes (e.g. Gharari et al., 2011) may need to use different
spatial disaggregations for shallow soil water and groundwater.</p>
      <p>Understanding catchment variability has further implications for predictions
of catchment behaviour. Variability controls which parts of the catchment are
generating runoff and controlling water partitioning: it therefore controls
uncertainty in flow predictions, depending on our knowledge or lack of
knowledge about those water stores or fluxes. Similarly, variability controls
how quickly water flows through a catchment, as the different response modes
direct water into flow paths with different transit times (Heidbuechel et
al., 2013). Variability also provides clues into unmeasured fluxes which are
important for catchment response; for example, areas with more rapid water
table movement suggest locations of preferential flow paths, either vertical
or horizontal. Signatures of the catchment variability are seen in the flow
response, such as a double or prolonged peak caused by slower groundwater
pathways (also found by Bachmair et al., 2012), and seasonally variable
changes in contributions between different hillslopes. These features suggest
that understanding catchment-scale variability in hydrological processes is
essential for predicting the hydrograph.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We made distributed measurements of flow, soil moisture and depth to
groundwater in a New Zealand headwater catchment, to characterise controls on
variability in hydrological responses to rainfall events. The data showed
that temporal variability in soil moisture was dominated by a strong seasonal
cycle in PET and resulting moisture content, with event dynamics
superimposed. The volume of stored water in the catchment had a corresponding
seasonal cycle, mostly due to increased groundwater in winter. Spatial
variability is controlled most strongly by aspect and distance from stream:
south-facing and near-stream sites are typically wetter, and in particular
have more and larger wetting events. The relative wetness of different
locations was stable: high water table locations were consistent across
seasons, and sites where water tables peaked above 30 cm depth had
consistently wetter soils. Temporal dynamics vary spatially, including timing
of winter wet-up (faster on south-facing slopes), different rates of
groundwater response (slow at far-stream sites) and different recession
shapes (no clear spatial pattern).</p>
      <p>We examined soil moisture and groundwater responses to rainfall, for dry
vs. wet antecedent conditions, and found significant differences in the
patterns of response. This led us to classify catchment variability as being
in “summer mode” or “winter mode”. In “summer mode”, variability is
controlled by shallow processes, e.g. interaction between water and soils and
vegetation, and sites where soil moisture reacts strongly to a rainfall event
may not correspond to the usual wetter locations. In “winter mode”,
variability is controlled by deeper processes, e.g. groundwater movement and
bypass flow. In both cases, variability is strongest for stores where water
content is typically close to a threshold such as saturation. Because spatial
variability changes with season, we suggest that methods to predict emergent
catchment behaviour arising from small-scale variability in storage may also
need to change with season.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The authors would like to thank the Editor Ilja van Meerveld and two
anonymous referees for their thorough and helpful reviews. We thank the NIWA
Christchurch field and instrument system teams, and land owners Dugald and
Mandy Rutherford. This research was funded by the NZ Ministry of Business,
Innovation and Employment, contract C01X1006: “Waterscape”. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: I. van Meerveld</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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