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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-15-2177-2018</article-id><title-group><article-title>Diel fluctuations of viscosity-driven riparian inflow affect streamflow DOC
concentration</article-title><alt-title>Diel fluctuations of viscosity-driven riparian inflow</alt-title>
      </title-group><?xmltex \runningtitle{Diel fluctuations of viscosity-driven riparian inflow}?><?xmltex \runningauthor{M.~P.~Schwab et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Schwab</surname><given-names>Michael P.</given-names></name>
          <email>mschwab@wmo.int</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Klaus</surname><given-names>Julian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6301-1634</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pfister</surname><given-names>Laurent</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5494-5753</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Weiler</surname><given-names>Markus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6245-6917</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Catchment and Eco-Hydrology Research Group, Luxembourg Institute of
Science and Technology,<?xmltex \hack{\break}?> 4422 Belvaux, Luxembourg</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Hydrology, Faculty of Environment and Natural Resources, University of
Freiburg, 79098 Freiburg, Germany</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>now at: Climate and Water Department, World Meteorological Organization (WMO), Geneva, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Michael P. Schwab (mschwab@wmo.int)</corresp></author-notes><pub-date><day>13</day><month>April</month><year>2018</year></pub-date>
      
      <volume>15</volume>
      <issue>7</issue>
      <fpage>2177</fpage><lpage>2188</lpage>
      <history>
        <date date-type="received"><day>30</day><month>June</month><year>2017</year></date>
           <date date-type="rev-request"><day>12</day><month>July</month><year>2017</year></date>
           <date date-type="rev-recd"><day>5</day><month>February</month><year>2018</year></date>
           <date date-type="accepted"><day>26</day><month>February</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018.html">This article is available from https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018.pdf</self-uri>
      <abstract>
    <p id="d1e123">Diel fluctuations of stream water DOC concentrations are generally explained
by a complex interplay of different instream processes. We measured the light
absorption spectrum of water and DOC concentrations in situ and with high
frequency by means of a UV–Vis spectrometer during 18 months at the outlet of
a forested headwater catchment in Luxembourg (0.45 km<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). We generally
observed diel DOC fluctuations with a maximum in the afternoon during days
that were not affected by rainfall–runoff events. We identified an increased
inflow of terrestrial DOC to the stream in the afternoon, causing the DOC
maxima in the stream. The terrestrial origin of the DOC was derived from the
SUVA-254 (specific UV absorbance at 254 nm) index, which is a good indicator
for the aromaticity of DOC. In the studied catchment, the most likely process
that can explain the diel DOC input variations towards the stream is the
so-called viscosity effect. The water temperature in the upper parts of the
saturated riparian zone is increasing during the day, leading to a lower
viscosity and therefore a higher hydraulic conductivity. Consequently, more
water from areas that are rich in terrestrial DOC passes through the
saturated riparian zone and contributes to streamflow in the afternoon. We
believe that not only diel instream processes, but also viscosity-driven diel
fluctuations of terrestrial DOC input should be considered to explain
diel DOC patterns in streams.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e144">Dissolved organic matter (DOM) is a major constituent of the carbon cycle and
aquatic biogeochemistry, eventually linking terrestrial and aquatic
ecosystems (Battin et al., 2008; Lee et al., 2016; Saraceno et al., 2009).
The largest component of DOM in forested stream ecosystems is dissolved
organic carbon (DOC; McLaughlin and Kaplan, 2013). DOC has a multifaceted
chemical character that is mainly determined by its origin and its
biogeochemical transformation (Hanley et al., 2013; Ruhala and Zarnetske,
2017). DOC in streams is mainly derived from external terrestrial sources
(allochthonous) like plants and soils or from instream microbial sources
(autochthonous). With increasing stream orders, autochthonous sources become
more important (Dawson et al., 2001; Nimick et al., 2011). While DOC from
allochthonous sources is characterized by fulvic and humic acids with high
molecular weight and aromaticity, DOC from autochthonous sources has a lower
molecular weight and is less aromatic (Hood et al., 2006; Saraceno et al.,
2009; Spencer et al., 2012).</p>
      <p id="d1e147">Different techniques have been used to gain information on the composition
and the concentration of DOC. Two frequently used optical methods to
characterize bulk DOC are UV–Vis spectroscopy and fluorescence spectroscopy
(Minor et al., 2014). For identifying the aromaticity of DOC in aqueous
systems, the specific UV absorbance at 254 nm (SUVA-254) is a commonly used
index. SUVA-254 is calculated as the UV absorbance of water at the wavelength
of 254 nm (A254) that is normalized for DOC concentration (Weishaar et al.,
2003). A higher SUVA-254 value<?pagebreak page2178?> indicates a higher aromatic DOC content and is
therefore a valuable index for distinguishing between allochthonous and
autochthonous origins of DOC.</p>
      <p id="d1e150">Several studies have used SUVA-254 to identify DOC from different origins in
combination with changing contributions from different water sources and
flow paths. Hood et al. (2006) observed an increase in SUVA-254 during a 6-day
storm event in three catchments of the HJ Andrews Experimental Forest,
Oregon (USA) and suggested SUVA-254 as a useful tracer for identifying
different flow paths through mineral soils. Also at HJ Andrews, Lee et
al. (2016) observed lower SUVA-254 values during the dry season low flows and
suggest, supported by fluorescence indices, that in those conditions the
stream water originates from more microbial-processed sources. Fasching et
al. (2016) described similar observations in an Austrian, alpine second-order
stream. They related the increase in SUVA-254 values during high flows mainly
to a rise in terrestrial DOC contributions. Likewise, they correlated the
decrease in SUVA-254 values during baseflow conditions to larger
contributions from autochthonous DOC sources. As an alternative, Catalán et
al. (2013) identified seasonality as the main factor controlling SUVA-254
patterns in an ephemeral Mediterranean catchment because vegetation is
accumulated during the dry period. In comparison to mechanistic studies
focusing on seasonal and event timescales, investigations combining diel DOC
fluctuations with SUVA-254 calculations are rather scarce. While Fasching et
al. (2016) did not find clear diurnal SUVA-254 patterns in their stream, they
were able to document diel DOC fluctuations with recurrent maxima around
19:30 CET. They linked this pattern to a decrease in photosynthetically active
radiation (PAR).</p>
      <p id="d1e153">Diel DOC fluctuations in streams are generally explained by a complex
interplay of different instream processes. They cannot be observed in every
stream, but when they occur, DOC concentrations often increase during
daytime and decrease at night (Nimick et al., 2011, and references therein).
Throughout daytime, autotrophic organisms like algae excrete labile DOC
during their photosynthesis, which depends on stream temperature and the
amount of sunlight. In contrast, more instream DOC is consumed at night
by heterotrophic organisms (Chittoor Viswanathan et al., 2015; Fasching et
al., 2016; Nimick et al., 2011; Parker et al., 2010; Spencer et al., 2007).
This interplay of autotrophic and heterotrophic organisms is generally used
to explain diel DOC fluctuations in streams. Studies from catchments with
peatlands have reported diel DOC fluctuations with DOC maxima in the early morning
due to the absence of photic removal processes of DOC during the night
(Worrall et al., 2015; Worrall and Moody, 2014). Tunaley et al. (2017)
observed DOC maxima in the early morning for a peatland catchment, whereas a
proximate catchment had its DOC maxima in the afternoon. Spencer et al.
(2007) reported two DOC maxima per day in the San Joaquin River (California,
USA).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e159">The Weierbach catchment: location of the spectrometer, the
end-member sampling points and the measurement location of the riparian water
temperature (modified from Schwab et al., 2017).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f01.pdf"/>

      </fig>

      <p id="d1e168">In our study, we observed diel DOC concentration fluctuations at the outlet
of a 0.45 km<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> forested headwater catchment. During baseflow conditions
throughout the year, the maximum diel DOC concentrations occurred in the
afternoon. Based on our literature review of mechanistic explanations for DOC
fluctuations, our first hypothesis states that diel fluctuations in DOC
concentrations are mainly controlled by instream microbial processes. Our
second hypothesis stipulates that diel fluctuations in DOC concentrations can
be explained by an increased input of terrestrial DOC to the stream during
daytime. This second hypothesis is a follow-up on previous work by Schwab et
al. (2016) carried out in the Weierbach catchment. They linked diel fluctuations
in discharge to increased inflow from the saturated riparian zone in the
afternoon due to variations in viscosity (viscosity effect). Before the
growing season, Schwab et al. (2016) observed diel discharge fluctuations
with maxima in the afternoon that can be explained by riparian water
temperature fluctuations and therefore viscosity fluctuations. Warmer
riparian water temperatures in the afternoon led to a lower viscosity of
water, resulting in a higher hydraulic conductivity and therefore an
increasing inflow of water to the stream when passing through the saturated
riparian zone. During the growing season, discharge minima were observed in
the afternoon due to the stronger influence of evapotranspiration.
Nevertheless, Schwab et al. (2016) concluded that the viscosity effect was
still present during the growing season, but no longer visible in the diel
discharge fluctuations as a result of the increased importance of the
counteracting evapotranspiration. We intend to leverage these findings
through our second hypothesis that the viscosity effect could
possibly increase the input of terrestrial DOC in the afternoon all year
long.</p>
      <p id="d1e180">We used SUVA-254 to test both hypotheses. A decrease in SUVA-254 values
during the afternoon would lead to the rejection of the second hypothesis
that an augmented input of terrestrial DOC can explain the DOC
concentration maxima in the stream. Increased SUVA-254 values would lead to
the rejection of the first hypothesis, in which instream processes are
presumed
to control fluctuations in DOC concentrations.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study site and methods</title>
      <p id="d1e189">We measured the DOC concentration and the light absorption spectrum with a
UV–Vis spectrometer in the Weierbach stream in Luxembourg from December 2013
to May 2015 (Fig. 1). The Weierbach is a headwater catchment with a size of
0.45 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and elevations ranging from 450 to 512 m a.s.l. Beech (<italic>Fagus sylvatica</italic>) and to a lesser extent spruce (<italic>Picea abies</italic>) are the dominant tree
species in this forested catchment. The soils are shallow Cambisols with a
depth generally less than 1 m and the bedrock geology consists of
Devonian metamorphic slate and overlying Pleistocene periglacial slope
deposits (Moragues-Quiroga et al., 2017). In the<?pagebreak page2179?> vicinity of the stream, the
hillslopes are gentle on the right bank side and steep on the left bank side,
while further uphill slopes tend to plateau. Along most parts of the stream a
riparian zone extends 1 to 5 m away from the channel and connects the
hillslopes to the stream. Water passing through the saturated riparian zone
contributes significantly to discharge both during wet and dry conditions.</p>
      <p id="d1e207">At the outlet of the Weierbach catchment, we measured water levels with a
pressure transducer (ISCO 4120 Submerged Probe) at 5 min intervals. Water
levels were converted into discharge via a rating curve. We corrected the
temperature sensitivity of the probe according to the stream water
temperature (Schwab et al., 2016). Precipitation was measured with a tipping
bucket rain gauge at the meteorological station of Roodt, 3.5 km outside the
Weierbach catchment. Precipitation had no distinct seasonality and the long-term annual average was approximately 950 mm. During the observation period,
no substantial snowfall was observed. The annual rainfall runoff ratio was
around 50 % with higher discharge volumes in winter than in summer
(Glaser et al., 2016; Martínez-Carreras et al., 2015; Pfister et al.,
2017; Schwab et al., 2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e212">Diel fluctuations in the viscosity of saturated riparian water,
SUVA-254, DOC and discharge during a representative rainless period in the
dormant season and the growing season.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f02.pdf"/>

      </fig>

      <p id="d1e221">The Weierbach catchment exhibits a distinct rainfall–runoff behavior
characterized by marked differences between dry and wet conditions. During
dry conditions rainfall events trigger only one single discharge peak. During
wet conditions an additional second discharge peak occurs with a delay of one
to several days. The first discharge peak is probably caused by near-surface
and near-stream runoff processes, while the second discharge peak is likely
generated by “subsurface flow through the highly conductive saprolite
layers” on the hillslopes (Glaser et al., 2016). This subsurface flow is
initiated once a certain wetness threshold is reached in the catchment. DOC
concentrations increased only during the first peaks. During wet conditions
the DOC concentration in the stream was generally lower as more DOC-poor
subsurface flow contributed to streamflow (Schwab et al., 2017). The behavior
of DOC concentrations at seasonal and event timescales will not be
analyzed in this study. We focus solely on diel fluctuations of DOC
concentrations during days without rainfall events.</p>
      <p id="d1e225">In one part of the riparian zone with high subsurface flow to the stream, we
measured the riparian groundwater temperature every 30 min at 10 cm of depth
(Fig. 1). We could only rely on one location with high-frequency riparian
groundwater temperature data for the entire observation period. However,
saturated riparian water temperature measurements along several profiles from
previous years showed temperature fluctuations down to 15 cm of depth that were
consistent with the fluctuations that we observed at the selected location
(Schwab et al., 2016). Based on our high-frequency temperature measurements
at this location we calculated the viscosity of the saturated riparian water
according to the Vogel equation (Schwab et al., 2016; Vogel, 1921). An
increase in water temperature by 5 <inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C leads to a decrease (given the
observed temperature range of groundwater) in viscosity by 12 to 15 % and
therefore to an increase in hydraulic conductivity in the same range (Tipler
and Mosca, 2008). We consider the riparian zone to be saturated during most
of the year. In the vicinity of the temperature sensor, the soil was
saturated during the whole observation period. The riparian zone extends 1 to
5 m from the stream and is up to 1 m deep. The stream flows on solid,
rather impermeable, mostly unweathered slate bedrock. Hence, most of the
groundwater enters the stream through the riparian zone<?pagebreak page2180?> with hydraulic
gradients from the riparian groundwater to the stream.</p>
      <p id="d1e237">The DOC concentrations and the light absorption spectrum were measured
in situ in the Weierbach stream (Fig. 1) at an interval of 15 min with the
UV–Vis spectrometer spectro::lyser (s::can Messtechnik GmbH). The
spectrometer measured the light absorption spectrum of the stream water
between 220 and 720 nm in 2.5 nm resolution with a xenon flash lamp,
256 photo diodes and a two-beam instrument. The optical path length was
35 mm. The spectrometer probe was fixed to a metal plate that was placed on
the streambed of the Weierbach stream. The orientation of the probe was
horizontal and in the stream direction with the measuring window facing
the riverbed to avoid direct solar radiation. Every 3 h, the
measuring window of the spectrometer probe was cleaned automatically with
pressurized air that was produced by an air compressor. We cleaned the
spectrometer manually every 2 weeks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e242">The time of day of the daily minima and maxima of saturated riparian
water viscosity, SUVA-254, DOC and discharge over 18 months. Only rainless
days with diel fluctuations and without the influence of rainfall–runoff
events are represented. The points are scaled by the daily amplitude between
the daily minimum and maximum. Black dashes (–) are the daily mean values of
the respective variables. Background: dark gray (growing season), light gray
(dormant season), white (transition period).</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f03.pdf"/>

      </fig>

      <p id="d1e251">We adapted the global calibration of the spectrometer that was provided by
the manufacturer of the instrument to the local conditions by applying a
local calibration. For this, we manually sampled the stream water weekly to
biweekly and took automatic samples during several rainfall events. We
analyzed the grab samples in the laboratory for DOC with a combustion
analyzer (Apollo 9000; Teledyne Tekmar) and compared the results with the
in situ DOC concentration measurements of the spectrometer at the collection
time of the grab samples. The linear regression for the local calibration
between the lab values and the spectrometer values resulted in a good fit
with an <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.96. In the lab, we additionally measured SUVA-254 values
of grab samples from the stream and compared them with in situ SUVA-254
values from the spectrometer. The linear regression between them resulted in
a good fit with an <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.74.</p>
      <p id="d1e276">A long time series of end-member chemistry data is available for the
Weierbach catchment (Martínez-Carreras et al., 2015). DOC concentration
values of biweekly sampled end-members are available since 2009, while
biweekly UV absorbance values at 254 nm (A254) are available since 2012. The
sampled end-members included throughfall, soil water, saturated riparian
water and shallow groundwater. Throughfall was collected as bulk samples over
2 weeks at three different locations. Soil water was sampled by applying a
vacuum to suction cups that were installed at six different locations in the
soil at depths of 10 to 100 cm. At one location in the riparian zone,
saturated riparian water was collected with the same method. The biweekly
grab samples of shallow groundwater were pumped from three wells in the
catchment. The wells were screened for the lowest 50 cm to 1 m and had
a depth of 2 to 3 m (Fig. 1).</p>
      <p id="d1e280">SUVA-254 is a commonly applied index for characterizing the aromaticity and
the terrestrial origin of DOC. SUVA-254 (L mg<inline-formula><mml:math id="M7" 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> m<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
calculated as the UV absorbance at 254 nm (A254 in m<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> divided by the
DOC concentration (mg L<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Weishaar et al., 2003). For the SUVA-254
data of the end-members, A254 and the DOC concentrations of the biweekly<?pagebreak page2181?> grab
samples were measured in the laboratory. To calculate the high-frequency
SUVA-254 values of the stream water, we used the in situ spectrometer
measurements of DOC and the light absorbance measurements. Due to the 2.5 nm
intervals of the spectrometer, the absorbance data at 254 nm (A254) were not
available. Therefore we calculated A254 as the weighted mean between the
absorbance at 252.5 nm and the absorbance at 255 nm. We eliminated
potential outliers in the SUVA-254 time series by applying a 3 h moving
median to the entire time series.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e342">Scatterplots and linear regression between the 15 min anomalies of
the four variables for the growing and dormant period. Only rainless days
with diel fluctuations and without the influence of rainfall–runoff events
are shown (corresponding to the days in Fig. 3).</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f04.pdf"/>

      </fig>

      <p id="d1e351">To analyze the diel fluctuations of DOC concentrations, SUVA-254,
viscosity and discharge, we selected the days with diel fluctuations during
the observation period from December 2013 to May 2015. Days that were
influenced by rainfall–runoff events were not included in the analysis.
According to this criterion, many short and several longer periods were
removed. The two winter seasons and August 2014 were particularly
rainy periods. From the remaining days, additional days were removed from
further analysis if at least one of the four variables showed unreliable or
no values, especially due to problems with the sensors used. A longer period
had to be removed in October 2014 for the same reason.</p>
      <p id="d1e354">We first analyzed the diel fluctuation patterns of DOC, SUVA-254, viscosity
and discharge by comparing their daily minima, maxima and amplitude. For
each day with diel fluctuations, we calculated the time of the day when the
minima and maxima occurred. The daily amplitude resulted from the difference
between the values of the daily maximum and minimum.</p>
      <p id="d1e357">For further analysis, we calculated the anomaly of the time series of each of
the four variables (DOC, SUVA-254, viscosity and discharge) by subtracting
the values of the original time series from those of the daily moving average
time series. The daily moving average time series was calculated from the
original time series with a window size of 24 h and no longer showed diel
fluctuations. The calculations were based on the time series with
15 min intervals and resulted in anomaly values for every 15 min.</p>
      <p id="d1e361">We studied the anomalies of the four variables by comparing them with the
corresponding values at the same time of another variable using scatterplots.
With four different variables (DOC, SUVA-254, viscosity, discharge), this
resulted in six different combinations. For each combination, linear
regressions were calculated separately for each month, for<?pagebreak page2182?> the dormant and
growing season, and for the entire observation period. Due to the absence of
days with diel fluctuations, we could not compute a linear regression for
January. We defined the growing season as the period between 15 May and
the end of September and the dormant season from the beginning of October
until 15 April. To clearly distinguish between the two seasons, we
introduced a transition period. As a transition period, we considered the
time between mid-April and mid-May when not all plants are yet fully active
and developed. A transition period was not defined in fall due to the lack
of days with diel fluctuations around the end of September and the beginning
of October.</p>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p id="d1e370">In our long-term high-frequency time series, we observed many days and
periods with diel fluctuations in viscosity, SUVA-254, DOC and discharge. In
the afternoons of rainless periods during the dormant and the growing season,
we observed the diel minima of viscosity and the diel maxima of SUVA-254 and
DOC (Fig. 2). During the dormant season, we observed diel discharge minima in
the morning, whereas we observed diel discharge minima in the afternoon
during the growing season. The diel amplitudes of viscosity, SUVA-254 and DOC
change in similar ways from one day to the other (Fig. 2e–g).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e375">Slope and explained variance (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the linear regression
between the 15 min anomalies of the four variables. Slope and <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> are
separately calculated for each month, for the dormant and the growing season,
and for all values. All the <inline-formula><mml:math id="M13" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values are generally highly significant. Only
rainless days with diel fluctuations and without the influence of
rainfall–runoff events are shown (corresponding to the days in Fig. 3).</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f05.pdf"/>

      </fig>

      <p id="d1e415">Over the whole time series of 18 months, the minima in viscosity and the
maxima in SUVA-254 and DOC occurred in the afternoon between 14:00 and
18:00 CET for both the growing and the dormant season (Fig. 3a–c). For
discharge, the time of the minima switched from early morning in the dormant
season to the afternoon in the growing season both in 2014 and 2015
(Fig. 3d). In winter, we only observed a few rainless days outside
rainfall–runoff events with diel fluctuations (Fig. 3). During that time
(December 2013 and November 2014) no clear diel discharge pattern is visible
(Fig. 3d) and the diel amplitudes of all four variables are relatively small.
The diel amplitudes of DOC and viscosity stayed relatively constant over the
18 months with the lowest amplitudes of DOC in winter and spring and slightly
higher viscosity amplitudes during the growing season than during the dormant
season (Fig. 3a, c). The amplitudes of SUVA-254 changed more markedly over
the 18 months. SUVA-254 had its highest amplitudes in spring and very low
amplitudes in summer (Fig. 3b).</p>
      <?pagebreak page2183?><p id="d1e418">Figure 3 shows a seasonal pattern for the daily mean values of all four
variables. The viscosity of the saturated riparian water is lower during the
growing season than during the dormant season (Fig. 3a), while the mean daily
SUVA-254 values and the mean daily DOC concentrations are higher during the
growing season than during the dormant season (Fig. 3b, c). The discharge in
the Weierbach stream was lower in summer and higher in winter and early
spring (Fig. 3d).</p>
      <p id="d1e422">After identifying strong similarity in the timing of the diel extreme of
viscosity, SUVA-254 and DOC, we analyzed the relationship between the 15 min
anomalies of viscosity, SUVA-254, DOC and discharge. Figures 4 and 5 show a
strong linear relationship between SUVA-254 and viscosity, SUVA-254 and DOC,
and
between DOC and viscosity for the dormant season, the growing
season and the entire time series of 18 months with <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> larger than 0.6.
The slope of the linear regression between the viscosity anomalies and the
SUVA-254 anomalies is negative, meaning that the viscosity of the saturated
riparian water decreased during the day, while SUVA-254 values
increased (Fig. 4a). During the growing season, the slope was less negative
than during the dormant season (Figs. 4a and 5a). The values of the slopes
show an annual pattern, with the least negative slopes occurring in June and
July (Fig. 5a). The slope of regression between the DOC anomalies and the
SUVA-254 anomalies is positive (Fig. 4b). An increase in SUVA-254 during the
day leads to an increase in DOC concentrations. This relationship is less
strong during the growing season, with the smallest slopes occurring in June,
July and August (Figs. 4b and 5b). The slope of the regression between
viscosity and DOC is negative, meaning that a decrease in viscosity during
the day leads to an increase in DOC (Fig. 4d). These negative slopes are
relatively constant over the year and between the seasons (Figs. 4d and 5d).</p>
      <p id="d1e436">For the combinations that included discharge, we generally observed weaker
and more heterogeneous relationships (Figs. 4c, e, f and 5c, e, f). The
linear regressions between discharge and SUVA-254, discharge and DOC, and
between discharge and viscosity resulted in contrary signs of their slopes
between the dormant season and the growing season. Moreover, the <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of
the linear regressions in which discharge was involved were generally smaller
than for the linear regressions in the absence of discharge (Fig. 5).</p>
      <?pagebreak page2184?><p id="d1e450">In addition to the high-frequency instream observations and temperature
measurements of the saturated riparian zone, we sampled end-members in the
catchment and analyzed them in the laboratory for SUVA-254 and the DOC
concentrations. We observed the highest DOC concentrations in throughfall and
soil water, lower concentrations in saturated riparian water and the lowest DOC
concentrations in the groundwater (Fig. 6a). We found a decrease in DOC
concentrations in soil with depth. The highest DOC concentrations were
observed in the upper part of the soil profile (Fig. 6b). The SUVA-254 values
in soil water behave similarly to the DOC concentrations, having the highest
values in the upper part of the soil profile (Fig. 6c). Soil water,
throughfall and saturated riparian water have similar SUVA-254 values, while
groundwater has the smallest SUVA-254 values (Fig. 6d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e455">DOC concentrations and SUVA-254 values of the biweekly sampled
end-members and the detailed information for soil water at different depths.
TH is throughfall, SW is soil water, RP is saturated riparian water and
GW is groundwater.</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f06.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e466">Perceptual understanding of the diel SUVA-254 and DOC fluctuations and
their dependence on instream processes or terrestrial input and the resulting
superposition of both processes.</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/2177/2018/bg-15-2177-2018-f07.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p id="d1e482">Based on our measurements in the Weierbach catchment, we are convinced that
SUVA-254 is a suitable proxy for identifying terrestrial DOC in diel DOC
fluctuations. Several studies have already demonstrated that SUVA-254 is a valid
index to characterize the origin of DOC (Catalán et al., 2013; Fasching
et al., 2016; Lee et al., 2016; Weishaar et al., 2003). We found strong
indices in the Weierbach catchment for rising SUVA-254 values serving as a
valid index of higher terrestrial DOC input to the stream. Immediately after
rain events, discharge, DOC concentrations and SUVA-254 rapidly increased.
This increase in discharge is related to surface or near-surface runoff
processes (Glaser et al., 2016; Klaus et al., 2015). Therefore it is likely
that the increase in DOC concentrations was induced by terrestrial DOC input
that eventually led to a rise in measured SUVA-254 values. Although our data
showed a correlation between absorbance at 254 nm (A254) and the DOC
concentration, an increase in SUVA-254 is not (only) related to an increase
in
DOC concentration in general, but also to an increase in more aromatic DOC
components. According to the measurement methods of the spectrometer, A254 is
only one wavelength among several other wavelengths that have been used to
calculate the DOC concentration. SUVA-254 is calculated as the absorbance at
254 nm normalized by the DOC concentration (SUVA-254 <inline-formula><mml:math id="M16" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> A254/DOC).
Consequently, an increase in SUVA-254 is based on an increase in A254 that is
larger than the increase in DOC concentration.</p>
      <p id="d1e492">We tested our two hypotheses on processes controlling diel DOC fluctuations.
For the days with diel fluctuations we generally observed both DOC and
SUVA-254 maxima in the afternoon. Thus we could reject our first hypothesis
that microbial autochthonous instream processes are the dominant control on
the DOC maxima in the afternoon. However, we need to keep in mind that
biological processes that recycle DOC are manifold, leading to complex
antagonistic results, and that SUVA-254 is only a proxy for the complex
composition of DOC computed from absorbance properties. Nevertheless, the
increased SUVA-254 values in the afternoon provide strong support for our
second hypothesis that the DOC maxima in the afternoon are triggered by an
increase in terrestrial DOC input to the stream in the afternoon. Additional
support for the second hypothesis is that the high-frequency anomalies of DOC
and SUVA-254 behave in a similar way as suggested by the good fit of the
regression between those two variables. Additionally, the SUVA-254 values and
DOC concentrations of the end-members are a strong indicator of the origin of
the stream water in the afternoon (when SUVA-254 and DOC are on the rise).
For both DOC and SUVA-254, soil water and saturated riparian water had higher
values than groundwater, and the values in the topsoil were higher than in the
subsoil for both variables. Rejecting the first hypothesis and supporting the
second hypothesis does not imply that biological processes were absent. Yet,
these processes were not the dominant control for the diel DOC fluctuations
(Fig. 7).</p>
      <p id="d1e495">Our study provides strong experimental evidence for viscosity-controlled diel
DOC fluctuations in the Weierbach. Previous work by Schwab et al. (2016) in
the Weierbach catchment has shown that an increase in riparian water
temperature during the day led to a decrease in riparian water viscosity and
subsequently to an increase in hydraulic conductivity. This viscosity effect
resulted in an increased inflow of riparian groundwater to the stream in the
afternoon from the topsoil of the saturated riparian zone to the<?pagebreak page2185?> stream.
The timing of the daily minima of viscosity in the afternoon is consistent
with the timing of the daily maxima of DOC and SUVA-254. Besides the timing
of the viscosity minima, the high-frequency anomalies provide another solid
indication that the viscosity effect triggers an increased inflow of
terrestrial DOC to the stream in the afternoon. The strong regression between
the viscosity and the SUVA-254 anomalies, especially the regression
between the viscosity and the DOC anomalies, showed that viscosity, SUVA-254
and DOC had very similar diel dynamics.</p>
      <p id="d1e498">The regressions between the discharge anomalies and the anomalies of
viscosity, SUVA-254 and DOC resulted in different slope directions and values
depending on the season. This behavior can be explained by the existence of
two different opposing processes that control the diel discharge
fluctuations: the viscosity effect during the dormant season and
evapotranspiration during the growing season (Schwab et al., 2016). However,
we believe that the viscosity effect is always present, even when its effect
on diel discharge fluctuations is hidden by the stronger counteracting
influence of evapotranspiration during the growing season. As the viscosity
effect is present all year long, it can control the diel fluctuations of DOC
concentration and SUVA-254 values both during the dormant and the growing
seasons. Evapotranspiration cannot hide the influence of the viscosity effect
on diel DOC and SUVA-254 fluctuations during the growing season as
evapotranspiration and viscosity impact different water sources
with dissimilar DOC concentrations and SUVA-254 values. While the viscosity
effect is only present in the topsoil of the riparian zone, the plants
transpire water from deeper soil depths (Bond et al., 2002; Schwab et al.,
2016). The upper parts of the soil had especially high SUVA-254 and DOC
concentration values.</p>
      <p id="d1e502">There are different models for simulating autochthonous DOC dynamics (Fasching et
al., 2016; Worrall and Moody, 2014). However, these models are partly
contradictory and no state-of-the-art model has been established so far. In
addition, we did not have all the data required to run these models.
Consequently, we did not simulate the autochthonous DOC dynamics. However, we
developed a perceptual model to explain the observed diel DOC and SUVA-254
anomalies, depending on instream processes and terrestrial input (Fig. 7).
The conceptual model follows the main results of Fasching et al. (2016),
stipulating that instream DOC production is higher with increasing stream
water temperature and increasing photosynthetically active radiation (PAR).
With the perceptual model illustrated in Fig. 7, we can also explain
the observed smaller slopes resulting from the regression between the
SUVA-254 and DOC anomalies during the growing season. The amplitudes of
the diel DOC anomalies stayed relatively constant over the whole year, while
the diel amplitudes of SUVA-254 decreased during the growing<?pagebreak page2186?> season. We argue
that the increasing importance of instream processes during the growing season
leads to a decrease in SUVA-254.</p>
      <p id="d1e505">In our perceptual model (Fig. 7), the diel SUVA-254 fluctuations resulting
from instream processes show an opposite pattern compared to the diel
SUVA-254 fluctuations resulting from terrestrial DOC input. This can be
explained by differences in the aromaticity of the DOC of the two processes.
Depending on the magnitude of the two processes, the resulting superposition of
both processes may or may not change the diel pattern. As a consequence of the
increasing stream water temperature and PAR in summer, SUVA-254 fluctuations
resulting from instream processes are much higher during the growing season
than during the dormant season (Fig. 7a, b; Fasching et al., 2016). On the
other hand, the diel SUVA-254 fluctuations resulting from terrestrial DOC
input triggered by viscosity effects are smaller during the growing season
due to a decrease in the viscosity fluctuations in summer (Schwab et al.,
2016). By overlaying the instream and the terrestrial effect on SUVA-254, the
resulting diel SUVA-254 fluctuations are higher in the dormant season than in
the growing season.</p>
      <p id="d1e508">Contrary to the SUVA-254 fluctuations, the diel DOC fluctuations resulting
from instream processes and terrestrial input are in phase. They have their
maxima in the afternoon when the stream water temperature and the PAR
(influencing the instream processes) are at their maxima and the riparian
water viscosity (influencing the terrestrial input) has its minima. During
the growing season (Fig. 7d), the diel DOC fluctuations induced by instream
processes are higher than during the dormant season and the DOC fluctuations
resulting from terrestrial input are smaller (smaller viscosity fluctuations)
than during the dormant season (Fig. 7c). Consequently, overlaying
both effects results in similar DOC fluctuations during the growing and the
dormant seasons (Fig. 7c, d). In other catchments the relative proportion of
the different processes is probably different, resulting in other overall
diel fluctuations.</p>
      <p id="d1e511">In addition to the diel fluctuations, we observed a seasonal pattern in the
daily mean values of SUVA-254 and DOC concentrations. In the Weierbach stream
we observed higher SUVA-254 values and DOC concentrations during the low flow
periods compared to high flow periods, while Lee et al. (2016) and Fasching
et al. (2016) described lower SUVA-254 values during dry and
baseflow conditions (Fig. 3). This could likely be explained by different
flow paths of the water contributing to streamflow. During summer low flow,
we suspect that only a few source areas in the riparian zone contribute to
streamflow. Those riparian source areas have higher SUVA-254 values and DOC
concentrations (Fig. 6). During periods with higher discharge, especially in
winter and early spring, a dilution effect leads to decreasing SUVA-254
values and DOC concentrations. Larger areas with lower SUVA-254 values and
DOC concentrations contribute to streamflow. During those wet conditions,
subsurface flow, whose SUVA-254 and DOC signature is represented by the
shallow groundwater end-member (Fig. 6), generated a large part of the
discharge.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e520">We observed diel DOC fluctuations in the Weierbach catchment over a complete
year during periods that were not affected by rainfall–runoff processes. By
means of the SUVA-254 index serving as an indicator for DOC aromaticity, we
found that an increased input of DOC with terrestrial origin was responsible
for the peak in DOC concentrations in the afternoon. Higher SUVA-254 values
indicate a higher aromaticity of DOC and therefore an increase in DOC from
terrestrial (allochthonous) sources. We could explain the increased input of
terrestrial DOC in the afternoon with the viscosity effect. Water passing
the saturated riparian zone before entering the stream is heated in the
riparian zone during the day. Warmer water has a decreased viscosity and
therefore the hydraulic conductivity increases. Consequently, more water
from near-surface zones that are rich in terrestrial DOC is entering the
stream in the afternoon. Our study described a new process that can explain
diel DOC fluctuations in streams. We argue that the analysis of diel DOC
fluctuations should not only focus on instream processes, but also on
surface areas in the vicinity of the stream. Moreover, viscosity-driven diel
hydrological flow processes have to be taken into account to understand
diel DOC dynamics in streams.</p>
      <p id="d1e523">For further studies, we suggest combining the UV–Vis spectrometer
measurements with fluorescence spectrometry measurements to gain even more
detailed information about the origin of the DOC. Furthermore, a more
detailed insight into the instream DOC processes would be an interesting
aspect of future research. Oxygen probes could be very helpful for studying
metabolic activity in the Weierbach stream. Additionally, we hope that our
study can raise the awareness of the viscosity-driven input of terrestrial
DOC in explaining diel DOC fluctuations in stream water. We believe that this
effect can be also detected in other catchments, but depends on the
catchment-specific interplay of both interacting processes.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e530">The underlying research data are available upon request by
emailing Michael Schwab (mschwab@wmo.int) or Luxembourg Institute of Science
and Technology (info@list.lu).</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e536">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e542">We acknowledge the FNR (Fonds National de la Recherche Luxembourg) for
having funded this research through an AFR PhD grant (6931545).
Additional funding was provided<?pagebreak page2187?> through the FNR-DFG CAOS-2 project
(INTER/DFG/14/02) and the FNR-DFG-funded CAOS project (INTER/DFG/11/01). We
also thank Jean François Iffly, François Barnich and Jérôme Juilleret for their support during field activities and in the laboratory.
Special thanks go to Christophe Hissler, who provided us with the biweekly
end-member dataset that was acquired during the project FNR/CORE/SOWAT
(C10/SR/799842).
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Tom J. Battin<?xmltex \hack{\newline}?>
Reviewed by:  two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Diel fluctuations of viscosity-driven riparian inflow affect streamflow DOC concentration</article-title-html>
<abstract-html><p>Diel fluctuations of stream water DOC concentrations are generally explained
by a complex interplay of different instream processes. We measured the light
absorption spectrum of water and DOC concentrations in situ and with high
frequency by means of a UV–Vis spectrometer during 18 months at the outlet of
a forested headwater catchment in Luxembourg (0.45&thinsp;km<sup>2</sup>). We generally
observed diel DOC fluctuations with a maximum in the afternoon during days
that were not affected by rainfall–runoff events. We identified an increased
inflow of terrestrial DOC to the stream in the afternoon, causing the DOC
maxima in the stream. The terrestrial origin of the DOC was derived from the
SUVA-254 (specific UV absorbance at 254&thinsp;nm) index, which is a good indicator
for the aromaticity of DOC. In the studied catchment, the most likely process
that can explain the diel DOC input variations towards the stream is the
so-called viscosity effect. The water temperature in the upper parts of the
saturated riparian zone is increasing during the day, leading to a lower
viscosity and therefore a higher hydraulic conductivity. Consequently, more
water from areas that are rich in terrestrial DOC passes through the
saturated riparian zone and contributes to streamflow in the afternoon. We
believe that not only diel instream processes, but also viscosity-driven diel
fluctuations of terrestrial DOC input should be considered to explain
diel DOC patterns in streams.</p></abstract-html>
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variability in riverine dissolved organic matter composition determined byin
situ optical measurement in the San Joaquin River (California, USA), Hydrol.
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830–838, <a href="https://doi.org/10.1016/j.jhydrol.2015.01.075" target="_blank">https://doi.org/10.1016/j.jhydrol.2015.01.075</a>, 2015.
</mixed-citation></ref-html>--></article>
