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

    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-12-1941-2015</article-id><title-group><article-title>Riparian and in-stream controls on nutrient concentrations and fluxes in a
headwater forested stream</article-title>
      </title-group><?xmltex \runningtitle{Riparian and in-stream controls on nutrient concentrations}?><?xmltex \runningauthor{S.~Bernal et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Bernal</surname><given-names>S.</given-names></name>
          <email>sbernal@ceab.csic.es</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lupon</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ribot</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sabater</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Martí</surname><given-names>E.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Center for Advanced Studies of Blanes (CEAB-CSIC), Accés a la Cala
Sant Francesc 14, 17300, Blanes, Girona, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Departament d'Ecologia, Facultat de Biologia, Universitat de
Barcelona, Av. Diagonal 643, 08028, Barcelona, Spain</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">S. Bernal (sbernal@ceab.csic.es)</corresp></author-notes><pub-date><day>24</day><month>March</month><year>2015</year></pub-date>
      
      <volume>12</volume>
      <issue>6</issue>
      <fpage>1941</fpage><lpage>1954</lpage>
      <history>
        <date date-type="received"><day>16</day><month>June</month><year>2014</year></date>
           <date date-type="rev-request"><day>29</day><month>July</month><year>2014</year></date>
           <date date-type="rev-recd"><day>29</day><month>December</month><year>2014</year></date>
           <date date-type="accepted"><day>1</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://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015.html">This article is available from https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015.html</self-uri>
<self-uri xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015.pdf">The full text article is available as a PDF file from https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015.pdf</self-uri>


      <abstract>
    <p>Headwater streams are recipients of water sources draining through
terrestrial ecosystems. At the same time, stream biota can transform and
retain nutrients dissolved in stream water. Yet studies considering
simultaneously these two sources of variation in stream nutrient chemistry
are rare. To fill this gap of knowledge, we analyzed stream water and
riparian groundwater concentrations and fluxes as well as in-stream net
uptake rates for nitrate (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), ammonium (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), and soluble
reactive phosphorus (SRP) along a 3.7 km reach on an annual basis. Chloride
concentrations (used as conservative tracer) indicated a strong hydrological
connection at the riparian–stream interface. However, stream and riparian
groundwater nutrient concentrations showed a moderate to null correlation,
suggesting high in-stream biogeochemical processing. In-stream net nutrient
uptake (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was highly variable across contiguous segments and
over time, but its temporal variation was not related to the vegetative
period of the riparian forest. For NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the occurrence of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N m<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> s<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> (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>
release) was high along the reach, while for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the occurrence of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N m<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> s<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> (gross uptake
<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> release) increased along the reach. Within segments and dates,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, whether negative or positive, accounted for a median of 6,
18, and 20 % of the inputs of NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and SRP,
respectively. Whole-reach mass balance calculations indicated that in-stream
net uptake reduced stream NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> flux up to 90 %, while the stream
acted mostly as a source of NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP. During the dormant period,
concentrations decreased along the reach for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, but increased for
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP. During the vegetative period, NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> decreased,
SRP increased, and NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> showed a U-shaped pattern along the reach.
These longitudinal trends resulted from the combination of hydrological
mixing with terrestrial inputs and in-stream nutrient processing. Therefore,
the assessment of these two sources of variation in stream water chemistry is
crucial to understand the contribution of in-stream processes to stream
nutrient dynamics at relevant ecological scales.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Stream water chemistry integrates hydrological and biogeochemical processes
occurring within its drainage area, and thus the temporal variation in
stream solute concentrations at the catchment outlet is considered a good
indicator of the response of terrestrial and aquatic ecosystems to
environmental drivers (Bormann and Likens, 1967; Bernhardt et al., 2003;
Houlton et al., 2003). Less attention has been paid to the spatial variation
in water chemistry along the stream, though it can be considerably important
because stream nutrient concentrations are influenced by changes in
hydrological flow paths, vegetation cover, and soil characteristics (Dent
and Grimm, 1999; Likens and Buso, 2006). For instance, spatial variation in
nutrient concentration along the stream has been attributed to changes in
soil nitrification rates (Bohlen et al., 2001), soil organic carbon
availability (Johnson et al., 2000), and organic soil depth across
altitudinal gradients (Lawrence et al., 2000). Moreover, nutrient cycling
within the riparian zone can strongly influence stream nutrient
concentrations along the stream because these ecosystems are hot spots of
biogeochemical processing (McClain et al., 2003; Vidon et al., 2010). In
addition, processes occurring at the riparian–stream interface have a larger
influence on stream water chemistry than those occurring at catchment
locations further from the stream (Ross et al., 2012). Finally, stream
ecosystems have a strong capacity to transform and retain nutrients; thus, in-stream biogeochemical processes can further influence nutrient
chemistry along the stream (Peterson et al., 2001; Dent et al., 2007).
Therefore, consideration of these multiple sources of variation in stream
water chemistry is important to understand drivers of stream nutrient
dynamics.</p>
      <p>Our understanding of nutrient biogeochemistry within riparian zones and
streams is mainly based on field studies performed at the plot scale or in
small stream reaches (a few hundred meters) (Lowrance et al., 1997; Peterson
et al., 2001; Sabater et al., 2003; Mayer et al., 2007; von Schiller et al.,
2015). These empirical studies have widely demonstrated the potential of
riparian and stream ecosystems as either sinks or sources of nutrients,
which ultimately influence the transport of nutrients to downstream
ecosystems. Riparian and stream biota are capable of decreasing the
concentration of essential nutrients, such as dissolved inorganic nitrogen
(DIN) and phosphate, especially with increasing water storage and residence
time (Valett et al., 1996; Hedin et al., 1998; Peterson et al., 2001; Vidon
and Hill, 2004). Conversely, riparian forests can become sources rather than
sinks of nutrients when N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-fixing species predominate (Helfield and
Naiman, 2002; Compton et al., 2003), and in-stream nutrient release can be
important during some periods (Bernhardt et al., 2002; von Schiller et al.,
2015). Moreover, there is an intimate hydrological linkage between riparian
and stream ecosystems that can result in strong biogeochemical feedbacks
between these two compartments (e.g., Morrice et al., 1997; Martí et
al., 2000; Bernal and Sabater, 2012). However, studies integrating
biogeochemical processes of these two nearby ecosystems are rare (but see
Dent et al., 2007), and the exchange of water and nutrients between stream
and groundwater is unknown in most studies assessing in-stream gross and net
nutrient uptake (Roberts and Mulholland, 2007; Covino et al., 2010; von
Schiller et al., 2011).</p>
      <p>There is a wide body of knowledge showing the potential of riparian and
stream ecosystems to modify either groundwater or stream nutrient
concentrations. However, a comprehensive view of the influence of riparian and
in-stream processes on stream water chemistry at the catchment scale is
still lacking (but see Meyer and Likens, 1979). This gap of knowledge mostly
exists because hydrological and biogeochemical processes can vary
substantially along the stream (Covino and McGlynn, 2007; Jencso et al.,
2010), which limits our ability to extrapolate small plot- and reach-scale
measurements to larger spatial scales. Some authors have proposed that
nutrient concentrations should decline along the stream if in-stream net
uptake is high enough and riparian groundwater inputs are relatively small
(Brookshire et al., 2009). This declining pattern is not systematically
observed in reach-scale studies, which could bring us to the conclusion that
terrestrial inputs are the major driver of stream water chemistry because
in-stream gross uptake and release counterbalance each other most of the
time (Brookshire et al., 2009). However, synoptic studies have revealed that
nutrient concentrations are patchy and highly variable along the stream as a
result of spatial patterns in upwelling and in-stream nutrient processing
(Dent and Grimm, 1999). Thus, in-stream nutrient cycling could be
substantial, but it might not necessarily lead to longitudinal increases or declines
in nutrient concentration, a question that probably needs to be addressed at
spatial scales larger than a few hundred meters.</p>
      <p>The goal of this study was to gain a better understanding of the influence of
riparian groundwater inputs and in-stream biogeochemical processing on stream
nutrient chemistry and fluxes in a headwater forested catchment. To approach
this question, we explored the longitudinal pattern of stream nutrient
(nitrate, ammonium, and phosphate) concentration along a 3.7 km reach over
1.5 years. We chose a headwater catchment as a model system to investigate
drivers of spatial patterns in stream water chemistry because they typically
show pronounced changes in riparian and stream features across relatively
short distances (Uehlinger, 2000). First, we evaluated riparian groundwater
inputs and in-stream nutrient processing as sources of variation in stream
nutrient concentration along the reach. We expected stream and riparian
groundwater nutrient concentrations to be similar and strongly correlated if
riparian groundwater is a major source of nutrients to the stream. In
addition, we estimated the in-stream nutrient-processing capacity for 14
contiguous segments along the reach with a mass balance approach. Second, we
evaluated the relative contribution of riparian groundwater inputs and
in-stream biogeochemical processing to stream nutrient fluxes at the
whole-reach scale by applying a mass balance approach that included all
hydrological input and output fluxes along the reach.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study site</title>
      <p>The research was conducted in the Font del Regàs catchment
(14.2 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) (Fig. 1), located in the Montseny Natural Park, NE Spain
(41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E; 300–1200 m a.s.l.) during the
period 2010–2011. Total inorganic N deposition in this area oscillates
between 15 and 30 kg N ha<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> 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> (Àvila and Rodà, 2012).
The climate at the Montseny Mountains is subhumid Mediterranean. The
long-term mean annual precipitation is 925 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 151 mm and the long-term
mean annual air temperature is 12.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD,
period: 1940–2000; Catalan Meteorological Service:
<uri>http://www.meteo.cat/observacions/xema/</uri>). During the study period, mean
annual precipitation (975 mm) and temperature (12.9 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) fell within
the long-term average (data from a meteorological station within the study
catchment). In this period, summer 2010 was the driest season (140 mm),
while most of the precipitation occurred in winter 2010 (370 mm) and autumn
2011 (555 mm) (Fig. 2a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Map of the Font del Regàs catchment within the Montseny Natural
Park (NE, Spain). The vegetation cover and the main stream sampling stations
along the 3.7 km reach are indicated. There were 5 and 10 sampling stations
along the second- and third-order sections, respectively. Four permanent
tributaries discharged to the main stream from the upstream- to the
downstream-most site (white circles). Additional water samples were collected
from a small tributary draining through the inhabited area at the lowest part
of the reach. The remaining tributaries were dry during the study period.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Temporal pattern of area-specific <bold>(a)</bold> rainfall,
<bold>(b)</bold> stream discharge, <bold>(c)</bold> whole-reach gross hydrological
gains and losses, and <bold>(d)</bold> cumulative net groundwater inputs at the
downstream-most site. Black squares in <bold>(b)</bold> are dates of field
campaigns. Error bars in <bold>(c)</bold> and <bold>(d)</bold> show the uncertainty
associated with the empirical estimation of <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> from tracer slug additions.
Error bars in <bold>(b)</bold> are smaller than the symbol size.</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f02.png"/>

      </fig>

      <p>The catchment is dominated by biotitic granite (ICC, 2010) and it has steep
slopes (28 %). Evergreen oak (<italic>Quercus ilex</italic>) and beech
(<italic>Fagus sylvatica</italic>) forests cover 54 and 38 % of the catchment
area, respectively (Fig. 1). The upper part of the catchment (2 %) is
covered by heathlands and grasslands (ICC, 2010). The catchment has a low
population density (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 person km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) which is concentrated in the
valley bottom. Hillslope soils (pH <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6) are sandy, with a high content
of rocks (33–36 %). Soils at the hillslopes have a 3 cm depth O horizon
and a 5 to 15 cm depth A horizon (averaged from 10 soil profiles).</p>
      <p>The riparian zone is relatively flat (slope <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 %), and it covers
6 % of the catchment area. Riparian soils (pH <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7) are sandy loam
with low rock content (13 %) and a 5 cm depth organic layer followed by
a 30 cm depth A horizon (averaged from five soil profiles). Along the
3.7 km reach, the width of the riparian zone increases from 6 to 32 m,
whereas the total basal area of riparian trees increases 12-fold (based on
forest inventories of 30 m plots every ca. 150 m) (Fig. S1 in the
Supplement). <italic>Alnus glutinosa</italic>, <italic>Robinia pseudoacacia</italic>,
<italic>Platanus hybrida</italic>, and <italic>Fraxinus excelsior</italic> are the most
abundant riparian tree species followed by <italic>Corylus avellana</italic>,
<italic>Populus tremula</italic>, <italic>Populus nigra</italic>, and <italic>Sambucus nigra</italic>. The abundance of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-fixing species (<italic>A. glutinosa</italic> and
<italic>R. pseudoacacia</italic>) increases from 0 to <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 60 % along the
longitudinal profile (Fig. S1). During base flow conditions, riparian
groundwater (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1.5 m from the stream channel) flows well below the soil
surface (0.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 m), and thus the interaction with the riparian
organic soil is minimal (<?xmltex \hack{\mbox\bgroup}?>averaged from 15 piezometers<?xmltex \hack{\egroup}?>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>165</mml:mn></mml:mrow></mml:math></inline-formula>)
(Fig. S1). During the period of study, riparian groundwater temperature
ranged from 5 to 19.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>
      <p>The 3.7 km study reach is a second-order stream along the first 1.5 km and a
third-order stream for the remaining 63 % of its length. The geomorphology
of the stream bed changes substantially with stream order. The stream bed
along the second-order section is mainly composed of rocks and cobbles
(70 %) with a small contribution of sand (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %). At the
valley bottom, sands and gravels represent 44 % of the stream substrate
and the presence of rocks is minor (14 %). Mean wetted width and water
velocity increase between the second- and third-order section (from 1.6 to 2.7 m and
from 0.24 to 0.35 m s<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>, respectively) (Fig. S1). During the study
period, stream water temperature ranged from 5 to 18 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Stream
discharge was low in summer (0.33 mm) and peaked in spring (0.79 mm).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3">
  <title>Materials and methods</title>
<sec id="Ch1.S3.SS1">
  <title>Field sampling and laboratory analysis</title>
      <p>We selected 15 sampling sites along the 3.7 km study reach. The distance
between consecutive sampling sites ranged from 110 to 600 m (Fig. 1). At each
sampling site, we installed a 1 m long PVC piezometer (3 cm <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">∅</mml:mi></mml:math></inline-formula>) in
the riparian zone at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 m from the stream channel.</p>
      <p>For each sampling site, we sampled stream water (from the thalweg) and
riparian groundwater every 2 months from August 2010 to December 2011. We
used pre-acid-washed polyethylene bottles to collect water samples after
triple-rinsing them with either stream or groundwater. On each sampling date,
we also measured dissolved oxygen concentration (DO, in mg L<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>) and
water temperature (in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) with a YSI ProODO device in both stream
water and riparian groundwater. We avoided sampling soon after storms to
ensure that our measurements were representative of low-flow conditions, when
the influence of in-stream biogeochemical processes on stream nutrient
concentrations and fluxes is expected to be the highest. All field campaigns
were performed at least 9 days after storm events, except in October 2011
(Fig. 2b, black squares). On each sampling date and at each sampling site, we
measured groundwater table elevation (in meters below soil surface) with a
water level sensor (Eijkelkamp 11.03.30) as well as wetted width (in m),
stream discharge (<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, in L s<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>), and water velocity (m s<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>).
<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> and water velocity were estimated with the slug-addition technique by
adding 1 L of NaCl-enriched solution to the stream (electrical conductivity
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>75</mml:mn><mml:mo>-</mml:mo><mml:mn>90</mml:mn></mml:mrow></mml:math></inline-formula> mS cm<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>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:math></inline-formula>) (Gordon et al., 2004). The uncertainty
associated with <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> measurements was calculated as the relative difference in
<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> between pairs of tracer additions under equal water depth conditions
(difference <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 mm). The pairs of data were selected from a set of 126
slug additions and water level measurements obtained from the permanent field
stations at Font del Regàs (Lupon, unpublished). The measured uncertainty
was relatively small (1.9 %, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:math></inline-formula>). On each sampling date, we also
collected stream water and measured <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> at the four permanent tributaries
discharging to Font del Regàs stream, which drained 1.9, 3.2, 1.8, and
1.1 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively (Fig. 1). These data were used for mass balance
calculations (see below). Additional stream water samples were collected from
a small permanent tributary that drained through an area (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.4 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)
with few residences and crop fields for personal consumption.</p>
      <p>Water samples were filtered through pre-ashed GF <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> F filters
(Whatman<sup>®</sup>) and kept cold (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
until laboratory analysis (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 24 h after collection). Chloride (Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>)
was used as a conservative hydrological tracer and analyzed by ionic
chromatography (Compact IC-761, Methrom). Nitrate (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) was analyzed
by the cadmium reduction method (Keeney and Nelson, 1982) using a Technicon
autoanalyzer (Technicon, 1976). Ammonium (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) was manually analyzed
via the salicylate–nitroprusside method (Baethgen and Alley, 1989) using a
spectrophotometer (PharmaSpec UV-1700 SHIMADZU). Soluble reactive phosphorus
(SRP) was manually analyzed via the acidic molybdate method (Murphy and
Riley, 1962) using a spectrophotometer (PharmaSpec UV-1700 SHIMADZU).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Data analysis</title>
      <p>The seasonality of biological activity can strongly affect both riparian
groundwater chemistry and in-stream biogeochemical processes (Groffman et
al., 1992; Hill et al., 2001). Therefore, the data set was separated into two
groups based on sampling dates during the vegetative and dormant period
(seven and four sampling dates, respectively). As a reference, we considered the
vegetative period starting at the beginning of riparian leaf-out (April) and
ending at the peak of leaf-litter fall (October), coinciding with the onset
and offset of riparian tree evapotranspiration, respectively (Nadal-Sala et
al., 2013). During the study period, rainfall was similar between the
vegetative and dormant period (775 and 876 mm, respectively).</p>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Patterns of stream discharge, riparian groundwater inputs, and stream solute concentrations</title>
      <p>For each period, we examined the longitudinal pattern of stream discharge,
riparian groundwater inputs, and stream solute concentrations along the
reach. On each sampling date, we calculated area-specific stream discharge by
dividing instantaneous discharge by catchment area (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, in mm d<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>) at
each sampling site. We used <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> rather than <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> to be able to compare water
fluxes from the 15 nested catchments along the reach. We examined the
longitudinal patterns of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and stream solute concentration
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by applying regression models (linear, exponential,
potential, and logarithmic). Model selection was performed by ordinary least squares (Zar, 2010). We referred only to the best-fit model in each case.</p>
      <p>The contribution of net riparian groundwater inputs to surface water along
each stream segment (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was estimated as the difference in <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>
between consecutive sampling sites (Covino et al., 2010). The empirical
uncertainty associated with <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> was used to calculate a lower and upper limit
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. We considered that <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was representative of
the net riparian groundwater flux draining to the stream within each stream
segment. We acknowledge that this approach oversimplifies the complex
hydrological interactions at the riparian–stream interface because it does
not consider concurrent hydrological gains and losses within each segment
(Payn et al., 2009), but we consider that it provides a representative
estimate at the scale of this study. To investigate the longitudinal pattern
of riparian groundwater inputs, we calculated the cumulative area-specific
net riparian groundwater input (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi>Q</mml:mi><mml:msub><mml:mo>′</mml:mo><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in
mm d<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>) by summing up <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the upstream-most site to
each of the downstream segments and dividing it by the cumulative catchment
area.</p>
      <p>For each sampling date, we examined whether the 3.7 km reach was either net
gaining or net losing water by comparing concurrent gross hydrological gains
and losses over the entire reach (Payn et al., 2009). For this spatial scale,
we considered that stream segments exhibiting <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0
contributed to gross hydrological gains (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0),
while segments with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 contributed to gross hydrological
losses (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0). Note that gross riparian groundwater
fluxes divided by the total catchment area are equal to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:msubsup><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at the downstream-most site. For each sampling date, we
calculated the relative contribution of different water sources to stream
discharge at the downstream-most site (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), with
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for upstream, tributaries and riparian
groundwater, respectively.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Sources of variation in stream nutrient concentration along the reach
riparian groundwater inputs</title>
      <p>We investigated whether longitudinal patterns in stream solute concentration
were driven by riparian groundwater inputs by comparing solute concentrations
between stream water and riparian groundwater with a Wilcoxon paired rank sum
test. A non-parametric test was used because solute concentrations were not
normally distributed (Shapiro–Wilk test, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01 for all study
solutes) (Zar, 2010).</p>
      <p>Moreover, we examined the degree of hydrological interaction at the
riparian–stream interface by exploring the relationship between stream and
riparian groundwater Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations with a Spearman correlation. For
each period, we quantified the difference between Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations in
the two water bodies by calculating divergences from the 1 : 1 line with the
relative root-mean-square error (RRMSE, in %):
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="normal">RRMSE</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mrow><mml:mi>n</mml:mi><mml:mo>×</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are stream and riparian groundwater
solute concentrations, respectively, <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the total number of observations,
and <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the average of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. A strong
correlation and a low RRMSE between stream and riparian groundwater Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
concentrations indicate a strong hydrological connection between the two
water bodies. Similarly, we examined the correlation between stream and
riparian groundwater nutrient concentrations. We expected a weak correlation
and a high RRMSE value between nutrient concentrations measured at the two
water bodies if the stream has a high nutrient processing capacity and
in-stream gross uptake and release do not counterbalance each other.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Conceptual representation of nutrient fluxes considered to estimate
in-stream net nutrient uptake for each stream segment (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>, Eq. 2). For each segment of length <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>, the considered nutrient input
fluxes were upstream (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and tributaries (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).
Nutrient fluxes exiting the stream segment (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the contiguous downstream segment. Riparian groundwater
nutrient fluxes could either enter (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0) or exit
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0) the stream. Nutrient fluxes for each component were
estimated by multiplying its water flux (<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>) by its nutrient concentration
(<inline-formula><mml:math display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>). In-stream net nutrient uptake (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>) is the result
of gross nutrient uptake and release by the active streambed. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> can be positive (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> release), negative (gross
uptake <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> release), or zero (gross uptake <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> release). See text for
details.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f03.png"/>

          </fig>

      <p><italic>In-stream nutrient processing</italic>. We investigated the influence of
in-stream biogeochemical processes on the longitudinal pattern of stream
nutrient concentrations by applying a mass balance approach for each
individual segment (Roberts and Mulholland, 2007). For each nutrient, we
calculated changes in stream flux between contiguous sampling sites
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<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> s<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 <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> being
the net flux resulting from in-stream gross uptake and release along a
particular stream segment (von Schiller et al., 2011). We expressed
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by unit of stream length in order to compare net changes in
stream flux between segments differing in length. For each sampling date and
for each nutrient, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was approximated with
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the nutrient flux at the top
and at the bottom of each stream segment, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the nutrient
flux from net riparian groundwater inputs, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
nutrient flux from tributary inputs for those reaches including a tributary
(all in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g s<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>) (Fig. 3). <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were calculated by multiplying <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the top and at the
bottom of the segment, respectively. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was estimated by
multiplying net groundwater inputs (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by nutrient
concentration in either riparian groundwater or stream water. For net gaining
segments (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0), we assumed that the chemistry of net
water inputs was similar to that measured in riparian groundwater, and thus
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was the average between riparian groundwater nutrient
concentration at the top and bottom of the reach. For net losing segments
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0), we assumed that the chemistry of net water losses
was similar to that measured in stream water and thus, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
averaged stream water concentration at the top and at the bottom of each
reach segment (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively). For
those cases in which stream segments received water from a tributary,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated by multiplying <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> at the outlet of
the tributary. We calculated an upper and lower limit of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
based on the empirical uncertainty associated with water fluxes (<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Finally, <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> (in m) is the length of the segment between
two consecutive sampling sites. The same approach was applied for Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, a
conservative tracer that was used as a hydrological reference. For Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
we expected <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 0 if inputs from upstream, tributaries, and
riparian groundwater account for most of the stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> flux. For
nutrients, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be positive (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> release),
negative (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> release), or zero (gross uptake <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> release).
Therefore, we expected <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>≠</mml:mo></mml:mrow></mml:math></inline-formula> 0 if in-stream gross uptake and
release processes do not fully counterbalance each other (von Schiller et
al., 2011). To investigate whether stream segments were consistently acting
as net sinks or net sources of nutrients along the stream during the study
period, we calculated the frequency of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>&lt;</mml:mo></mml:mrow></mml:math></inline-formula> 0, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> for each nutrient and for each segment. We
assumed that <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was undistinguishable from 0 when its upper and
lower limit contained zero.</p>
      <p>Since in-stream nutrient cycling can substantially vary with reach length
(Meyer and Likens, 1979; Ensign and Doyle, 2006), we also calculated
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the whole 3.7 km reach by including all hydrological
input and output fluxes (solute fluxes from the upstream-most site,
tributaries, and riparian groundwater gross gains and losses) in a mass
balance at the whole-reach scale. For the two spatial scales (segment and
whole reach), we examined whether <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> differed among nutrients
with a Mann–Whitney test.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Longitudinal pattern of <bold>(a)</bold> area-specific stream discharge,
<bold>(b)</bold> cumulative area-specific net groundwater inputs along the reach,
and <bold>(c)</bold> stream chloride concentration. Symbols are average and
standard error (whiskers) for the main stream (circles) and tributaries
(squares). Stream chloride concentration in tributaries is shown separately
for the dormant (white) and vegetative (black) period. Tributaries showed no
differences in discharge between the two periods. Model regressions are
indicated with a solid line only when significant (tributaries not included
in the model).</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f04.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Longitudinal pattern of stream nutrient concentrations for
<bold>(a)</bold> nitrate, <bold>(b)</bold> ammonium, and <bold>(c)</bold> solute reactive
phosphorus at Font del Regàs. Symbols are average and standard error
(whiskers) for the main stream (circles) and tributaries (squares). Lines
indicate significant longitudinal trends for the dormant (solid) and
vegetative (dashed) period (tributaries not included in the model).</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Relative contribution of riparian groundwater and in-stream nutrient processing to stream nutrient fluxes</title>
      <p>To assess the relevance of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> compared to input solute fluxes,
we calculated the ratio between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> (absolute value) and
the total input flux (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for each solute and sampling date. For
the two spatial scales (segment and whole reach), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was the sum
of upstream (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), tributaries (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and net
riparian groundwater inputs (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The latter was included when
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. We interpreted a high <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> ratio as a strong potential of in-stream processes to
modify input fluxes (either as a consequence of gross uptake or release). For
each spatial scale, we explored whether <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> differed among nutrients with a Mann–Whitney test.</p>
      <p><?xmltex \hack{\newpage}?>We used a whole-reach mass balance approach to assess the relative
contribution of net riparian groundwater inputs <inline-formula><mml:math display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:mfenced close=")" open="("><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula> to stream solute fluxes. In addition, we
calculated the contribution of upstream (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and
tributary inputs (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to stream solute fluxes. For
each solute, we analyzed differences in the relative contribution of
different sources to stream input fluxes with a Mann–Whitney test. Finally,
when the whole reach was acting as a net sink for a particular nutrient
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0), we calculated the relative contribution of
in-stream net uptake to reduce stream nutrient fluxes along the 3.7 km reach
with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Hydrological characterization of the stream reach</title>
      <p>During the study period, mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> decreased from 0.82 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13
[mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SE] to 0.54 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11 mm d<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> along the reach (linear
regression [l.reg], <inline-formula><mml:math 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:mn>0.79</mml:mn></mml:mrow></mml:math></inline-formula>, degrees of freedom [d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>] <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>51.4</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.0001) (Fig. 4a). This pattern hold for the two seasonal
periods considered (dormant and vegetative; Wilcoxon rank sum test,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05).</p>
      <p>On average, the stream had net water gain along the 3.7 km reach, though
the hydrological interaction between the riparian zone and the stream was
highly variable across contiguous segments (Fig. 4b). The stream was
consistently gaining water along the first 1.5 km and the last 0.5 km,
while hydrological losses were evident along the intermediate 2 km
(Fig. 4b). At the whole-reach scale, gross hydrological gains exceed gross
losses in 8 out of 10 field dates (Fig. 2c and d). This was especially
noticeable in April and December 2011, the two sampling dates most influenced
by storm events. In contrast, the whole reach was acting as net hydrological
losing in March and October 2011.</p>
      <p>Stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations showed a 40 % increase along the reach
(l.reg, <inline-formula><mml:math 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:mn>0.88</mml:mn></mml:mrow></mml:math></inline-formula>, d<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 44.6, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.0001), which
contrasted with the longitudinal pattern exhibited by stream discharge
(Fig. 4c). The two periods showed a similar longitudinal pattern, though
stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentration was lower during the dormant than during the
vegetative period (Wilcoxon rank sum test, <inline-formula><mml:math display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.0001) (Table 1). The same seasonal pattern was exhibited by the
five permanent tributaries (Fig. 4c). There was a strong correlation between
stream and riparian groundwater Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations, which fitted well to
the <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line (low RRMSE for the two periods) (Table 2 and Fig. S2).</p>
      <p>The median net change in Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> flux within individual segments was
6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<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> s<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>, which represented a small fraction of the
Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> input flux (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> %).
Similar results were obtained when calculating Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> budgets for the
whole-reach approach (Table 3). The stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> flux was mainly explained
by inputs from tributaries followed by riparian groundwater and upstream.
Similar results were obtained when calculating the relative contribution of
different water sources to stream discharge at the whole-reach scale
(Table 4).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Median and interquartile range [25th, 75th percentiles] of stream
and riparian groundwater solute concentrations for the dormant and vegetative
period. The number of cases is shown in parentheses for each group. For each
variable, the asterisk indicates statistically significant differences
between the two water bodies (Wilcoxon paired rank sum test, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula>).</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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Stream</oasis:entry>  
         <oasis:entry colname="col4">Riparian groundwater</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Dormant</oasis:entry>  
         <oasis:entry colname="col2">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (mg L<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>)</oasis:entry>  
         <oasis:entry colname="col3">7.6 [6.5, 8] (60)</oasis:entry>  
         <oasis:entry colname="col4">7.7 [7.2, 8.8] (57)*</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<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>)</oasis:entry>  
         <oasis:entry colname="col3">192 [159, 262] (60)</oasis:entry>  
         <oasis:entry colname="col4">194 [109, 298] (56)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">8.9 [6.5, 10.3] (60)</oasis:entry>  
         <oasis:entry colname="col4">19 [13.8, 34.2] (56)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SRP (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">7.6 [4.5, 11.7] (60)</oasis:entry>  
         <oasis:entry colname="col4">8 [6, 20] (51)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">DO (mg L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">12.9 [11.5, 16] (60)</oasis:entry>  
         <oasis:entry colname="col4">3.5 [1.5, 4.6] (54)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Vegetative</oasis:entry>  
         <oasis:entry colname="col2">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (mg L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">8.8 [7.9, 13.5] (100)</oasis:entry>  
         <oasis:entry colname="col4">10.1 [8.6, 15] (98)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">223 [155, 282] (102)</oasis:entry>  
         <oasis:entry colname="col4">168 [77, 264] (98)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">10 [8.7, 12.8] (103)</oasis:entry>  
         <oasis:entry colname="col4">27 [18.2, 37.1] (101)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SRP (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">16.5 [11.7, 21.3] (103)</oasis:entry>  
         <oasis:entry colname="col4">14.1 [9.3, 23.3] (97)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">DO (mg L<inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col3">9.9 [9.1, 11.1] (84)</oasis:entry>  
         <oasis:entry colname="col4">1.7 [0.8, 2.5] (98)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Spearman <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> coefficient between stream water and riparian
groundwater solute concentrations for each period and for the whole data set
collected at the Font del Regàs during the study period. The relative
root-mean-square error (RRMSE) indicates divergences from the <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line. <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>
= number of cases. <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula>. ns: not significant.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <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="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="center">Dormant </oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry namest="col6" nameend="col8" align="center">Vegetative </oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry namest="col10" nameend="col12" align="center">All data </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">RRMSE (%)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">RRMSE (%)</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">RRMSE (%)</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">2.1</oasis:entry>  
         <oasis:entry colname="col4">53</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">0.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">2.9</oasis:entry>  
         <oasis:entry colname="col8">98</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">0.84<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">2.8</oasis:entry>  
         <oasis:entry colname="col12">151</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">8.1</oasis:entry>  
         <oasis:entry colname="col4">57</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">0.34<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">8.3</oasis:entry>  
         <oasis:entry colname="col8">101</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">0.37<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">6</oasis:entry>  
         <oasis:entry colname="col12">158</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">ns</oasis:entry>  
         <oasis:entry colname="col3">11.7</oasis:entry>  
         <oasis:entry colname="col4">57</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">ns</oasis:entry>  
         <oasis:entry colname="col7">9.1</oasis:entry>  
         <oasis:entry colname="col8">101</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">ns</oasis:entry>  
         <oasis:entry colname="col11">7.3</oasis:entry>  
         <oasis:entry colname="col12">158</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SRP</oasis:entry>  
         <oasis:entry colname="col2">ns</oasis:entry>  
         <oasis:entry colname="col3">17.9</oasis:entry>  
         <oasis:entry colname="col4">57</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">0.43<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">5.5</oasis:entry>  
         <oasis:entry colname="col8">101</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">0.41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">7.3</oasis:entry>  
         <oasis:entry colname="col12">158</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Median and interquartile range [25th, 75th percentile] of in-stream
net nutrient uptake flux (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the potential of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to modify solute input fluxes (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>) for the two spatial scales considered (stream segment and
whole reach) during the study period. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>150</mml:mn></mml:mrow></mml:math></inline-formula> and 10 for segments and
whole-reach data sets, respectively.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">By segment</oasis:entry>  
         <oasis:entry colname="col4">By whole reach</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">6 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37, 80]</oasis:entry>  
         <oasis:entry colname="col4">12 [2, 33]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<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> s<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>)</oasis:entry>  
         <oasis:entry colname="col2">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.43 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.4, 1.3]</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.97 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.4, 1.6]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.17 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06, 0.63]</oasis:entry>  
         <oasis:entry colname="col4">0.2 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02, 1.1]</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SRP</oasis:entry>  
         <oasis:entry colname="col3">0 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6, 0.21]</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06 [<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21, 0.01]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">3 [1, 10]</oasis:entry>  
         <oasis:entry colname="col4">4 [2, 9]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">6 [2, 14]</oasis:entry>  
         <oasis:entry colname="col4">24 [8, 67]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">(%)</oasis:entry>  
         <oasis:entry colname="col2">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">18 [9.5, 35]</oasis:entry>  
         <oasis:entry colname="col4">48 [25, 71]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SRP</oasis:entry>  
         <oasis:entry colname="col3">20.5 [3.4, 41]</oasis:entry>  
         <oasis:entry colname="col4">15.5 [6, 66]</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Median and interquartile range [25th, 75th percentile] of the
relative contribution of inputs from upstream
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, net riparian groundwater (<inline-formula><mml:math display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), tributaries
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and in-stream release (<inline-formula><mml:math display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to stream solute fluxes at the
whole-reach scale. Note that relative contributions from different sources do
not add up to 100 % because they are medians rather than means. For each
solute, different letters indicate statistically significant differences
between sources (Mann–Whitney test with post hoc Tukey test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> for the four solutes.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Relative contribution (%)</oasis:entry>  
         <oasis:entry colname="col2">Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">N-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">N-NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">SRP</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Upstream</oasis:entry>  
         <oasis:entry colname="col2">15 [12, 17]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">B</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">22 [20, 35]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">8 [6, 13]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">11 [6, 17]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">B</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Riparian groundwater</oasis:entry>  
         <oasis:entry colname="col2">28 [14, 38]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">B</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">17 [5, 47]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">63 [43, 75]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">21 [7, 38]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">AB</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tributaries</oasis:entry>  
         <oasis:entry colname="col2">59 [46, 69]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">22 [19, 24]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">21 [17, 30]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">B</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">34 [26, 50]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">In-stream release</oasis:entry>  
         <oasis:entry colname="col2">0 [0, 0.3]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">C</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">22 [0, 50]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0 [0, 6]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">C</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">19 [0, 55]<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">B</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Longitudinal pattern of stream nutrient concentration</title>
      <p>The longitudinal pattern of stream concentration differed between nutrients
and periods. During the dormant period, stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration
decreased along the reach especially within the first 1.5 km (l.reg, <inline-formula><mml:math 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:mn>0.47</mml:mn></mml:mrow></mml:math></inline-formula>, d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 11.4, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.005) (Fig. 5a).
During the vegetative period, stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration showed a
U-shaped pattern: it decreased along the first 1.5 km, remained constant
along the following 1 km, and increased by 60 % along the last kilometer
of the reach (Fig. 5a). Despite these differences, stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration was similar between the dormant and vegetative period for both
the main stream and tributaries (Wilcoxon rank sum test: <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 in al
cases) (Table 1).</p>
      <p>Stream NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration showed an increasing longitudinal pattern
during the dormant period (exponential regression [e.reg],
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.45, d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.5, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01), while
concentration decreased during the vegetative period (logarithmic regression
[lg.reg], <inline-formula><mml:math 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> 0.42, d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 9.6, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01)
(Fig. 5b). The main stream showed higher NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration during
the vegetative than during the dormant period (Wilcoxon rank sum test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>3.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001) (Table 1). For the tributaries, NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration was similar between the two periods (Wilcoxon rank sum test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula> in all cases).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Frequency of dates for which <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 (gross
uptake <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> release), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> release),
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0 (gross uptake <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> release) for
<bold>(a)</bold> nitrate, <bold>(b)</bold> ammonium, and <bold>(c)</bold> soluble
reactive phosphorus for the 14 contiguous segments along the study reach from
August 2010 to December 2011 (<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 11). The frequency is expressed as
number of events in relative terms.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f06.png"/>

        </fig>

      <p>Stream SRP concentration increased along the reach during both the dormant
(e.reg, <inline-formula><mml:math 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:mn>0.59</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 18.5, d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01) and
vegetative period (l.reg, <inline-formula><mml:math 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> 0.49, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 12.4, d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01) (Fig. 5c). Similar to NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the main stream showed
higher SRP concentration during the vegetative than during the dormant period
(Wilcoxon rank sum test, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>6.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001) (Table 1). For the
tributaries, SRP concentration was similar between the two periods (Wilcoxon
rank sum test: <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.01 in all cases).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Sources of variation in stream nutrient concentration</title>
      <p><italic>Riparian groundwater inputs.</italic> The relationship between stream and
riparian groundwater concentrations differed between nutrients and periods.
During the dormant period, stream and riparian groundwater NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentrations were similar, while the stream showed higher concentration
during the vegetative period (Table 1). During the two periods, stream and
riparian groundwater NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were positively correlated
and showed relatively small RRMSE (Table 2 and Fig. S2). NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration in stream water was 2–3 times lower than in riparian
groundwater (Table 1), and stream and groundwater concentrations were no
correlated either during the dormant or vegetative periods (Table 2). Stream
and riparian groundwater SRP concentrations were similar in the two periods
(Table 1). During the dormant period, SRP concentration showed a significant
correlation between the two water bodies, while no correlation and relatively
high RRMSE occurred during the vegetative period (Table 2). The differences
in nutrient concentrations between stream and riparian groundwater in the two
study periods were accompanied by consistently higher DO concentrations in
the stream than in riparian groundwater (Table 1).</p>
      <p><italic>In-stream nutrient processing</italic>. The influence of in-stream nutrient
processing on stream water chemistry differed among nutrients. During the
study period, median <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was negative for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, positive
for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and close to 0 for SRP (Table 3). However, between-nutrient
differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were not statistically significant for either
the vegetative or dormant period (for both periods: Mann–Whitney test with
post hoc Tukey test, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05). Similar <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were
obtained when calculating nutrient budgets either by segment or whole reach
(Table 3).</p>
      <p>The frequency of an individual segment to act either as a nutrient sink or
source differed among nutrients and along the reach. For NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the
frequency of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">sw</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 (gross uptake <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> release)
increased from 9 to <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 50 % along the reach (l.reg, <inline-formula><mml:math 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:mn>0.55</mml:mn></mml:mrow></mml:math></inline-formula>,
d<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 13, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14.67, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01) (Fig. 6a). For NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
the frequency of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 (gross
uptake <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> release) was high across individual segments, ranging from 20 to
90 % (Fig. 6b). For SRP, the frequency of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SRP</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0, <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0, or <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0 did not show any consistent
longitudinal pattern (Fig. 6c). Overall, the frequency of sampling dates for
which in-stream biogeochemical processes were imbalanced (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>≠</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) was lower for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (36 %) than for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (80 %)
and SRP (68 %) (Fig. 6).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Relative contribution of riparian groundwater and in-stream processing
to stream nutrient fluxes at the segment and whole-reach scale</title>
      <p>The capacity of in-stream processes to modify stream input fluxes differed
between nutrients and spatial scales. For individual segments,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> was smaller for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(6 %) than for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 %) (Mann–Whitney test
with post hoc Tukey test, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01, Table 3). However,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> increased substantially for
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> when nutrient budgets were calculated at the
whole-reach scale (Table 3).</p>
      <p>According to whole-reach mass balance calculations, the stream acted as a net
source of NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> on 7 out of the 10 sampling dates for which
whole-reach budgets were calculated. The contribution of in-stream release to
stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> fluxes was as important as that of riparian groundwater
and upstream fluxes (Table 4). In-stream net NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> retention at the
whole-reach scale was observed only in spring (March and April 2011) and
December 2011 (Fig. 7a).</p>
      <p>In contrast to NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the stream generally acted as a net sink of
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and it retained up to 90 % of the input fluxes in spring and
autumn (Fig. 7b). The stream acted as a source of NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in summer
(Fig. 7b), though the contribution of in-stream release to stream
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> fluxes was minimal compared to that from riparian groundwater
(Table 4).</p>
      <p>The stream acted as a net source of SRP in 6 out of the 10 sampling dates.
The contribution of in-stream release to stream SRP fluxes was as important
as that of riparian groundwater (Table 4). In-stream net SRP retention was
minimal, except in autumn 2011 (October and December 2011) (Fig. 7c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Temporal pattern of in-stream net nutrient uptake (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<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> s<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>) for <bold>(a)</bold> nitrate, <bold>(b)</bold>
ammonium, and <bold>(c)</bold> soluble reactive phosphorus at the whole-reach
scale. Whiskers are the uncertainty associated with the estimation of stream
discharge from slug tracer additions. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 indicates that
gross uptake prevailed over release, while <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 indicates
the opposite. For those cases for which <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, the contribution of in-stream net nutrient uptake to reduce
stream nutrient fluxes (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in %) is
shown (black bars).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1941/2015/bg-12-1941-2015-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
      <p>In terms of hydrology, the study headwater stream was a net gaining reach,
though the hydrological interaction between the riparian zone and the stream
was complex as indicated by the longitudinal variation in net riparian
groundwater inputs. Moreover, the longitudinal decrease in area-specific
discharge suggests that hydrological retention increased at the valley bottom
compared to upstream segments as reported in previous studies (Covino et al.,
2010). Despite the complex hydrological processes along the reach, the strong
positive correlation between stream and riparian groundwater Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
concentration suggests high hydrological connectivity at the riparian–stream
interface (Butturini et al., 2003). In addition, we found that the permanent
tributaries, which comprised <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 % of the catchment area,
contributed 56 % of stream discharge, and thus were an essential
component for understanding stream nutrient chemistry and loads. Hydrological mixing
of stream water with water from tributaries could partially explain the
longitudinal increase in Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> because its concentration was higher at the
tributaries than at the main stream, especially during the vegetative period.
In addition, riparian groundwater inputs to the stream could further
contribute to the longitudinal increase in stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentration
because they contributed 26 % of stream discharge and also exhibited
higher Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentration than stream water.</p>
      <p>Based on the strong hydrological connectivity between the stream and the
riparian groundwater and the large contribution of tributaries to stream
discharge, one would expect a strong influence of these water sources on the
longitudinal variation in stream nutrient chemistry. However, the
relationship between stream and riparian groundwater nutrient concentration
was from moderate to weak for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP, and zero for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.
Further, the contribution of tributaries to stream nutrient fluxes was
relatively small (from 21 to 34 %) compared to their contribution to
stream Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and water fluxes (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula> %). Together these data suggest
that longitudinal patterns of stream nutrient concentration could not be
explained by hydrological mixing alone, thus pointing to in-stream
biogeochemical processing as a likely mechanism to modify nutrient
concentrations along the study reach. In fact, the estimates of in-stream net
nutrient uptake (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at the different stream segments supported
this idea and agreed with previous studies showing that in-stream processes
can mediate stream nutrient chemistry and downstream nutrient export (McClain
et al., 2003; Harms and Grimm, 2008).</p>
      <p>Our results revealed an extremely high variability in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which
could range by up to one order of magnitude, across individual segments and over
time, which agrees with findings from other headwater streams (von Schiller
et al., 2011). However, some general trends appeared when comparing patterns
for the different studied nutrients. For instance, the frequency of dates for
which in-stream gross uptake and release were imbalanced (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>≠</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) was higher for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (80 %) and SRP (68 %) than for
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (37 %). Further, the potential of in-stream processes to
modify stream fluxes within stream segments (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>) was 3-fold higher for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP than for
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Our findings are concordant with studies performed at short
stream reaches (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 300 m) worldwide, which show that in-stream gross
uptake velocity (as a proxy of nutrient demand) is typically higher for
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP than for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Ensign and Doyle, 2006). This
difference among nutrients is commonly attributed to the higher biological
demand for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP than for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. However, we found that
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was similar among nutrients; thus, differences in
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> were mainly associated with
differences in the concentration of the inputs, which tend to be 20-fold
lower for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP than for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Divergences between
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> were even more
remarkable when nutrient budgets were considered at the whole-reach scale,
especially for DIN forms. NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> showed no differences
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the two scales of observation; however, they
showed a substantial increase in <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> at
the whole-reach scale (length of kilometers) compared to the segment scale
(length of hundreds of meters). Similarly, previous nutrient spiraling
studies have reported an increase in the proportion of nutrient removal with
stream order despite no changes in gross uptake rates among stream reaches
(Ensign and Doyle, 2006; Wollheim et al., 2006). This pattern has been
attributed to variation in intrinsic stream characteristics, such as stream
nutrient concentration, discharge, stream width, and the size of the
hyporheic zone (Wollheim et al., 2006; Alexander et al., 2009), which may
also hold for our study since these characteristics varied along the 3.7 km
reach. However, our results also indicate that the assessment of riparian
groundwater inputs is crucial to understand the contribution of in-stream
processes to stream nutrient fluxes. Overall, our findings add to the growing
evidence that streams are hot spots of nutrient processing (Peterson et al.,
2001; Dent et al., 2007), and that in-stream processes can substantially
modify stream nutrient fluxes at the catchment scale (Ensign and Doyle, 2006;
Bernal et al., 2012).</p>
      <p>The potential of in-stream processes to regulate stream nutrient fluxes was
especially remarkable for NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. There was no relationship between
stream and riparian groundwater NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations; further,
whole-reach budgets indicated that in-stream net uptake could reduce the flux
of NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> up to 90 % along the reach. This high in-stream
bioreactive capacity could be favored by the sharp increase in redox
conditions from riparian groundwater to stream water (Hill et al., 1998; Dent
et al., 2007). Concordantly, NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were higher in
riparian groundwater than in the stream, while the opposite occurred for
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (although only during the vegetative period). These results
suggest fast nitrification of groundwater inputs within the stream as
environmental conditions become well oxygenated (Jones et al., 1995).
However, the marked increase in
stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration observed along the last 700 m of the reach
during the vegetative period could not be explained entirely by nitrification
of riparian groundwater NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> because this flux
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">gw</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N m<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> s<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 not
large enough to sustain in-stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> release <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">sw</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N m<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> s<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>). This finding
suggests an additional source of N at the valley bottom. Previous studies
have shown that leaf litter from riparian trees, and especially from
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-fixing species, can enhance in-stream nutrient cycling because of its
high quality and degradability (Starry et al., 2005; Mineau et al., 2011).
Thus, the increase in NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP concentrations and in-stream
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> release observed at the lowest part of the catchment during the
vegetative period could result from the combination of warmer temperatures
and the mineralization of large stocks of alder and black locust leaf litter
stored in the stream bed (Strauss and Lamberti, 2000; Bernhardt et al., 2002;
Starry et al., 2005). Alternatively, increases in stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SRP
concentration could result from human activities, which were concentrated at
the lowest part of the catchment. However, regarding NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
anthropogenic sources seem unlikely because DIN concentrations at the
tributary draining through the inhabited area were low. In contrast, this
tributary showed high SRP concentrations (from 2- to 6-fold higher than in
the main stream), though its discharge would have had to be ca. 4 times
higher than expected for its drainage area (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.4 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) to explain
the observed changes in concentration. Another possible explanation for the
increase in stream N concentration at the valley bottom could be increased N
fixation by stream algae (Finlay et al., 2011). However, in-stream DIN
release (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) peaked in late spring and summer (May
and August 2011), when light penetration was limited by riparian canopy and
in-stream photoautotrophic activity was low (Lupon et al., 2015). Altogether,
these data suggest that the sharp increase in nutrient availability along the
last 700 m of the reach was likely related to the massive presence of the
invasive black locust at the valley bottom. Black locust is becoming
widespread throughout riparian floodplains in the Iberian Peninsula
(Castro-Díez et al., 2014), and its potential to subsidize N to stream
ecosystems via root exudates and leaf litter could dramatically alter
in-stream nutrient processing and downstream nutrient export (e.g., Stock et
al., 1995; Mineau et al., 2011). However, further research is needed to test
the hypothesis that this invasive species can alter stream nutrient dynamics
in riparian floodplains.</p>
      <p>It is worth noting that longitudinal trends in stream nutrient concentrations
showed no simple relationship to in-stream processes. This finding evidenced
that other sources of variation in stream water chemistry were
counterbalancing the influence of in-stream processes on stream nutrient
fluxes. In this sense, results from NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were paradigmatic. The mass
balance approach clearly showed that in-stream gross uptake of NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
exceeded release; concordantly, NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration was
consistently lower in the stream than in riparian groundwater. However, stream
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration showed small longitudinal variation likely because
in-stream net uptake balanced the elevated inputs from riparian groundwater.
Therefore, our results challenge the idea that stream nutrient concentration
should decrease in the downstream direction when in-stream processes are
efficient in taking up nutrients from receiving waters (Brookshire et al.,
2009). Conversely, our findings convincingly show that in-stream processes
can strongly affect stream nutrient chemistry and downstream nutrient export
even in the absence of consistent longitudinal gradients in nutrient
concentration. For NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, our data suggest that the marked increase in
concentration along the last 700 m could be a consequence of in-stream
mineralization of N-rich leaf-litter stocks. However, the observed decrease
in NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration along the first 1.5 km of the reach could barely be
explained by in-stream processing alone because its contribution to
reduce stream NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> fluxes was too low, even when the whole-reach
budget was recalculated excluding the last 700 m of the reach
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.61</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N m<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> s<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> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">sw</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10 %). Therefore, the
declining pattern was likely a combination of both in-stream nutrient
processing and hydrological mixing with riparian groundwater and tributary
inputs. For SRP, the longitudinal increase in concentration could neither be
fully explained by in-stream release because <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">sw</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SRP</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0
was not widespread along the reach and the stream only contributed to input
fluxes by 19 % (6 % when excluding the last 700 m). Again, stream
nutrient chemistry along the reach was the combination of both in-stream
nutrient processing and hydrological mixing as indicated by our whole-reach
mass balance. Recent studies have concluded that riparian groundwater is a
major driver of longitudinal patterns in stream nutrient concentration in
headwater streams (Bernhardt et al., 2002; Asano et al., 2009; Scanlon et
al., 2010). Our study adds to our knowledge of catchment biogeochemistry by
showing that stream nutrient chemistry results from the combination of both
hydrological mixing from the riparian zone and in-stream nutrient processing,
which can play a pivotal role in shaping stream nutrient concentrations and
fluxes at the catchment scale.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The synoptic approach adopted in this study highlighted that the Font del
Regàs stream had a strong potential to transform nutrients. The
longitudinal pattern in stream nutrient concentrations could not be explained
solely by hydrological mixing with riparian groundwater and tributary sources
because dissolved nutrients underwent biogeochemical transformation while
traveling along the stream channel. Our results revealed that in-stream
processes were highly variable over time and space, though in most cases this
variability could not be associated with either physical longitudinal
gradients or shifts in environmental conditions between the dormant and
vegetative period. Nevertheless, results from a mass balance approach showed
that in-stream processes contributed substantially to modify stream nutrient
fluxes and that the stream could act either as a net nutrient sink (for
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) or as a net nutrient source (for SRP and NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) at the
catchment scale. These results add to the growing evidence that in-stream
biogeochemical processes need to be taken into consideration in either
empirical or modeling approaches if we are to understand drivers of stream
nutrient chemistry within catchments.</p>
      <p>Recent studies have proposed that riparian groundwater is a major control of
longitudinal patterns of nutrient concentration because in-stream gross
nutrient uptake and release tend to counterbalance each other most of the
time (Brookshire et al., 2009; Scanlon et al., 2010). Conversely, our study
showed that in-stream processes can influence stream nutrient chemistry and
downstream exports without generating longitudinal gradients in
concentration and flux because changes in stream nutrient chemistry are the
combination of both in-stream processing and nutrient inputs from
terrestrial sources. Our results imply that the assessment of these two
sources of variation in stream nutrient chemistry is crucial to understand
the contribution of in-stream processes to stream nutrient dynamics at
relevant ecological scales.</p>
      <p>Reliable measurements of riparian groundwater inputs are difficult to obtain
because spatial variability can be high (Lewis et al., 2006) and
determination of the chemical signature of the groundwater that really enters the
stream is still a great challenge (Brookshire et al., 2009). In this study,
we installed 15 piezometers along the reach (one per sampling site), which
may not be representative enough of the variation in riparian groundwater
chemistry. However, and despite its limitations, riparian groundwater
sampling near the stream can help to constrain the uncertainty associated
with this water source and provide more reliable estimations of in-stream
net nutrient uptake for both nutrient mass balance and spiraling empirical
approaches (von Schiller et al., 2011).</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/bg-12-1941-2015-supplement" xlink:title="pdf">doi:10.5194/bg-12-1941-2015-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p>S. Bernal, F. Sabater, and E. Martí designed the experiment. S. Bernal,
A. Lupon, M. Ribot, and F. Sabater carried it out. A. Lupon performed all
laboratory analysis. S. Bernal analyzed the data set and prepared the
manuscript with contributions from A. Lupon, M. Ribot, and E. Martí.</p>
  </notes><ack><title>Acknowledgements</title><p>We are grateful to the three anonymous reviewers for their helpful comments
on an earlier version of the manuscript, and in particular to one of them for
their constructive and meaningful suggestions. We thank A. Oltra for
assisting with GIS, and S. Poblador, E. Martín, and C. Romero for field
assistance. S. Bernal and A. Lupon were funded by the Spanish Ministry of
Economy and Competitiveness (MINECO) with a Juan de la Cierva contract
(JCI-2010-06397) and an FPU grant (AP-2009-3711). S. Bernal received
additional funds from the Spanish Research Council (CSIC) (JAEDOC027) and the
MICECO-funded project MED_FORESTREAM (CGL2011-30590). M. Ribot was funded
through a technical training contract from the MINECO-funded project ISONEF
(CGL2008-05504-C02-02/BOS) and MED_FORESTREAM. Additional financial support
was provided by the European Union-funded project REFRESH
(FP7-ENV-2009-1-244121) and the MINECO-funded project MONTES-Consolider (CSD
2008-00040). The Vichy Catalan Company, the Regàs family, and the Catalan
Water Agency (ACA) graciously gave us access to the Font del Regàs
catchment. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: T. J. Battin</p></ack><ref-list>
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