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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-12-1881-2015</article-id><title-group><article-title>Carbon dioxide transport across the hillslope–riparian–stream continuum in a boreal headwater catchment</article-title>
      </title-group><?xmltex \runningtitle{Carbon dioxide transport in a~boreal headwater catchment}?><?xmltex \runningauthor{F.~I.~Leith et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff4 aff5">
          <name><surname>Leith</surname><given-names>F. I.</given-names></name>
          <email>f.i.leith@sms.ed.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dinsmore</surname><given-names>K. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Wallin</surname><given-names>M. B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3082-8728</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Billett</surname><given-names>M. F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Heal</surname><given-names>K. V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1019-748X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Laudon</surname><given-names>H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6058-1466</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Öquist</surname><given-names>M. G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff7">
          <name><surname>Bishop</surname><given-names>K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8057-1051</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Centre for Ecology &amp; Hydrology, Edinburgh, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Ecology and Genetics/Limnology, Uppsala University, Uppsala, Sweden</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Biological and Environmental Sciences, School of Natural Sciences, University of Stirling, Stirling, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of GeoSciences, University of Edinburgh, Edinburgh, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Earth Sciences, Air Water and Landscape Sciences, Uppsala University, Uppsala, Sweden</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Forest Ecology and Management, Swedish University of Agricultural Sciences (SLU), Umeå, Sweden</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Aquatic Sciences and Assessment, Swedish University of Agricultural Sciences (SLU), Uppsala, Sweden</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">F. I. Leith (f.i.leith@sms.ed.ac.uk)</corresp></author-notes><pub-date><day>23</day><month>March</month><year>2015</year></pub-date>
      
      <volume>12</volume>
      <issue>6</issue>
      <fpage>1881</fpage><lpage>1892</lpage>
      <history>
        <date date-type="received"><day>29</day><month>September</month><year>2014</year></date>
           <date date-type="rev-request"><day>7</day><month>November</month><year>2014</year></date>
           <date date-type="rev-recd"><day>19</day><month>February</month><year>2015</year></date>
           <date date-type="accepted"><day>2</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/12/1881/2015/bg-12-1881-2015.html">This article is available from https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015.html</self-uri>
<self-uri xlink:href="https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015.pdf">The full text article is available as a PDF file from https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015.pdf</self-uri>


      <abstract>
    <p>Headwater streams export <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as lateral downstream export and
vertical evasion from the stream surface. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in boreal headwater
streams generally originates from adjacent terrestrial areas, so determining
the sources and rate of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transport along the
hillslope–riparian–stream continuum could improve estimates of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
export via the aquatic pathway, especially by quantifying evasion at higher
temporal resolutions. Continuous measurements of dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations and water table were made along the hillslope–riparian–stream
continuum in the Västrabäcken sub-catchment of the Krycklan
catchment, Sweden. Daily water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export from the hillslope and
riparian zone were estimated over one hydrological year
(October 2012–September 2013) using a flow-concentration model and compared
with measured lateral downstream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export.</p>
    <p>Total water export over the hydrological year from the hillslope was
230 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared with 270 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from the
riparian zone. This corresponds well (proportional to the relative upslope
contributing area) to the annual catchment runoff of 265 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
Total <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export from the riparian zone to the stream was
3.0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. A hotspot for riparian
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was observed at 30–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (accounting for
71 % of total riparian export). Seasonal variability was high with export
peaks during the spring flood and autumn storm events. Downstream lateral
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export (determined from stream water dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations and discharge) was
1.2 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Subtracting downstream lateral
export from riparian export (3.0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
gives 1.8 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> which can be attributed
to evasion losses (accounting for 60 % of export via the aquatic
pathway). The results highlight the importance of terrestrial <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
export, especially from the riparian zone, for determining catchment aquatic
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> losses and the importance of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> evasion component to
carbon export via the aquatic conduit.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Boreal forests are an important ecosystem within high latitude regions
containing a globally significant carbon store in both soils and vegetation
<xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx51" id="paren.1"/>. The net ecosystem carbon balance (NECB) of
individual northern latitude catchments has shown them to be net sinks for
carbon <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx19 bib1.bibx35 bib1.bibx44 bib1.bibx46 bib1.bibx55" id="paren.2"/>. In boreal forest catchments, carbon export via the
aquatic pathway (consisting of dissolved organic carbon (DOC), dissolved
inorganic carbon (DIC), particulate organic carbon (POC) plus dissolved and
gaseous <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) accounted for 4–28 % of carbon uptake
via net ecosystem exchange (NEE), representing an important, but spatially
and temporally variable component of the NECB <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx65" id="paren.3"/>.</p>
      <p>Headwater streams are generally supersaturated in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with respect to
the atmosphere, resulting in export via the aquatic conduit consisting of
both the downstream lateral export and vertical evasion of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from
the stream surface <xref ref-type="bibr" rid="bib1.bibx34" id="paren.4"/>. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> evasion has been shown to
account for 13–53 % of the total aquatic flux across a range of northern
latitude headwater streams <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx47 bib1.bibx65" id="paren.5"/>,
representing an important component of the catchment NECB. Low order streams
have been observed to have disproportionately high evasion rates
<xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx9 bib1.bibx53" id="paren.6"/>. Across Sweden, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
evasion from first order streams was estimated at 0.205 Tg C 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> or
39 % of the total from all streams, despite accounting for only 13 %
of the total stream area <xref ref-type="bibr" rid="bib1.bibx27" id="paren.7"/>. Quantifying evasion involves
combining dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and the gas transfer
coefficient (<inline-formula><mml:math display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx25" id="paren.8"/>. Due to the limited numbers of
direct measurements of the gas transfer coefficient (<inline-formula><mml:math display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
<xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx64" id="paren.9"/> and the considerable spatial
<xref ref-type="bibr" rid="bib1.bibx66" id="paren.10"/> and temporal <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx18" id="paren.11"/>
variability in dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations observed across a wide
range of northern latitude catchments, evasion, and the drivers of this flux
are likely to be poorly quantified. To improve understanding of both lateral
downstream export and vertical evasion of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from headwater streams
the concentrations and sources of dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> need to be better
quantified.</p>
      <p>To better understand the drivers of stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics an
increasing number of studies have made continuous, direct measurements of
dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in stream waters (using in situ,
non-dispersive infra-red (NDIR) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors) giving new insights into
diurnal, storm event and seasonal <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx18 bib1.bibx21 bib1.bibx32 bib1.bibx33" id="paren.12"/>. Much of the excess
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in temperate and boreal streams originates from terrestrial areas
through lateral subsurface transport through the soil <xref ref-type="bibr" rid="bib1.bibx26" id="paren.13"/>,
confirmed by isotope studies in peatland catchments <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx39" id="paren.14"/>. The concentration of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in stream water is largely
dependent on the concentration in terrestrial source areas and the
hydrological connectivity between source areas and the stream channel
<xref ref-type="bibr" rid="bib1.bibx62" id="paren.15"/>. Despite the apparent importance of soil sources, most
studies of stream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics take the observed response in the
stream and link it to terrestrial processes without direct measurements in
soils. Quantifying the rate of export of carbon from soil to stream will
enable better estimates of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export via the aquatic pathway and in
particular contribute to higher temporal resolution estimates of evasion.</p>
      <p>A few studies have made continuous, high frequency <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration
measurements in soils but are largely restricted to sampling at shallow
depths above the water table <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx29 bib1.bibx31 bib1.bibx61" id="paren.16"/>. Higher soil <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations have been observed below
the water table and in response to soil re-wetting after storms
<xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx52" id="paren.17"/>. In soil, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be derived from root
respiration, soil organic matter decomposition and weathering of carbonate
parent material. Mobilisation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> occurs through the displacement
of high <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the soil atmosphere, combined with
decreased vertical diffusivity as soil pore space becomes saturated
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diffusion is 10 000 times slower in water than in air)
<xref ref-type="bibr" rid="bib1.bibx58" id="paren.18"/>. This highlights the importance of considering
concentration changes over the full soil profile depth, especially in
horizons which experience frequent water table fluctuations as transient
saturation can increase the lateral export of water and dissolved
constituents exponentially <xref ref-type="bibr" rid="bib1.bibx6" id="paren.19"/>.</p>
      <p>The terrestrial–aquatic interface is a continuum between the wider catchment
area (hillslope), riparian zone and stream. Riparian zones in headwater
catchments commonly represent a 1–5 m wide area immediately adjacent to the
stream <xref ref-type="bibr" rid="bib1.bibx40" id="paren.20"/>. Common characteristics of the riparian zone are
higher water table conditions <xref ref-type="bibr" rid="bib1.bibx8" id="paren.21"/>, organic rich soils and
distinct vegetation composition in comparison to the surrounding hillslope
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.22"/>. Hence, the riparian zone has been widely shown to be a key
area for hydrological, ecological and biochemical processes
<xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx62" id="paren.23"/>. Subsurface hydrological flow paths converge at
the terrestrial–aquatic interface resulting in the riparian zone being the
last biogeochemical environment encountered by subsurface water
<xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx42" id="paren.24"/>. The riparian zone has been shown to have a
stronger hydrological connection to the stream in comparison to groundwater
or soil water <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx60" id="paren.25"/> and to control stream water
chemistry during hydrological events <xref ref-type="bibr" rid="bib1.bibx5" id="paren.26"/>. Water and solute
transport has been shown to be episodic with hotspots and hot moments in
export <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx62" id="paren.27"/>, hence the full
hillslope–riparian–stream continuum needs to be considered at high temporal
resolutions to quantify solute transport across the terrestrial–aquatic
interface.</p>
      <p>Across five different northern latitude catchments, stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations were shown to be strongly linked to discharge, with the
highest 30 % of flow having the greatest impact on lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
export <xref ref-type="bibr" rid="bib1.bibx18" id="paren.28"/>. DIC export via the aquatic pathway over a 13-year period in a headwater Swedish catchment (the same catchment as this
study) was positively correlated with precipitation with export varying from
2.3 to 6.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">g</mml:mi></mml:math></inline-formula> DIC-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx48" id="paren.29"/>. In
boreal systems, water and carbon cycles are highly seasonal and strongly
linked to the length of the snow covered period in winter and the spring snow
melt event. In these systems, snowmelt is the major hydrological event of
the year, with one example being the Krycklan catchment where 40–60 %
of the annual runoff occurs during only 10–15 % of the year
<xref ref-type="bibr" rid="bib1.bibx37" id="paren.30"/>. Snowmelt has been shown to be an important period for
carbon export via the aquatic pathway both as DOC <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx44" id="paren.31"/> and gaseous species <xref ref-type="bibr" rid="bib1.bibx21" id="paren.32"/>. Another example of the
short-term variability in stream water dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
is the observation in some catchments of bimodal frequency distributions
during storms, indicative of two distinct <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources within the
catchment <xref ref-type="bibr" rid="bib1.bibx18" id="paren.33"/>. Combining high resolution concentration
measurements in both the soil and the stream is a powerful way of studying
hydrological and seasonal variability in these catchments. However, previous
studies which determined dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in riparian
soils and streams have used either a limited number of discrete measurements
<xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx47" id="paren.34"/> or did not determine the variability in the
depth of lateral subsurface hydrological flow paths transporting <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
to the stream <xref ref-type="bibr" rid="bib1.bibx52" id="paren.35"/>. This is likely to under represent
variability in these dynamic systems, especially for short lived hydrological
events such as storms.</p>
      <p>This study uses high temporal resolution measurements of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations along a hillslope–riparian–stream continuum in a
hydrologically well defined catchment with extensive previous work
delineating the hydrological flow paths along the continuum <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx57 bib1.bibx59" id="paren.36"/>. This allows the sources of stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
to be investigated while estimating the export of water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
across the terrestrial–aquatic interface. Due to the position of riparian
zones within the catchment and the greater potential for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
production in the organic rich riparian soils we hypothesise that it is the
riparian zone, rather than the wider catchment area, that is maintaining
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export to streams.</p>
</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Site description</title>
      <p>This study was conducted in the 0.13 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> forested
Västrabäcken subcatchment of the 0.47 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> Svartberget
catchment, which is part of the wider 68 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> Krycklan catchment
(64<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>14<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N,19<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E), 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> north-west of Umeå,
Sweden <xref ref-type="bibr" rid="bib1.bibx38" id="paren.37"/>.</p>
      <p>The altitude of the catchment ranges from 235 to 310 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx7" id="paren.38"/>. Mean annual temperature (1980–2008) is 1.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
with the maximum (14.6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and minimum (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) in July
and January, respectively. Mean annual precipitation (1981–2008) is
612 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>, with approximately 35 % falling as snow <xref ref-type="bibr" rid="bib1.bibx24" id="paren.39"/>.
Snow covers the ground on average for 171 days from October to May to a depth
of between 43 and 113 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> (1980–2007) <xref ref-type="bibr" rid="bib1.bibx37" id="paren.40"/>. The largest
hydrological event during the year is a 4-6 week long snowmelt period in
late April/early May which contributes between 40 and 60 % of annual
runoff <xref ref-type="bibr" rid="bib1.bibx37" id="paren.41"/>. The Västrabäcken is a first order, low pH
(range pH 4.5–5.9) with little variability in the bicarbonate equilibrium
system <xref ref-type="bibr" rid="bib1.bibx63" id="paren.42"/>.</p>
      <p>Drainage channels were deepened and widened in the 1920s to improve forest
drainage <xref ref-type="bibr" rid="bib1.bibx7" id="paren.43"/>. Scots pine (<italic>Pinus sylvestris</italic>) is the
dominant tree species in hillslope areas with some Norway spruce
(<italic>Picea abies</italic>) nearer to the stream. Understorey vegetation is
predominately a mix of <italic>Vaccinium myrtillus, Vaccinium vitis-idaea</italic>
and grasses (<italic>Deschampsia flexuosa</italic>), with mosses (<italic>Sphagnum</italic>
spp., <italic>Polytrichum commune</italic>) and wood horsetail (<italic>Equisetum sylvaticum</italic>)
in the wetter riparian areas.</p>
      <p>The bedrock is gneiss overlain by 10–15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> of locally derived glacial
till. Soils consist of well-developed iron podzols comprising a surface
5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> humus layer overlying a 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> thick sandy bleached
E-horizon and a 60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> thick B-horizon <xref ref-type="bibr" rid="bib1.bibx45" id="paren.44"/>. The
riparian zone formed through the accumulation of organic matter in low lying
areas and extends 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> on either side of the stream channel. Riparian
soils consist of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>70</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> thick peat transitioning to the
underlying till at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>90</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. Soil organic content is
considerably higher in the riparian soil (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>80</mml:mn></mml:mrow></mml:math></inline-formula> %) compared to the
hillslope podzols (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %) <xref ref-type="bibr" rid="bib1.bibx45" id="paren.45"/>. Saturated hydraulic
conductivity is about one order of magnitude lower in the riparian zone (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>6.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) than the hillslope (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx45" id="paren.46"/> decreasing with depth
<xref ref-type="bibr" rid="bib1.bibx59" id="paren.47"/>. Porosity and water retention were higher in the riparian
soil <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx59" id="paren.48"/>. The riparian zone studied is
representative of headwater till catchments across the larger Krycklan
catchment <xref ref-type="bibr" rid="bib1.bibx23" id="paren.49"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Field methods</title>
      <p>Sampling was carried out in both the hillslope podzol soils (15 m
perpendicular to the stream) and riparian zone peat soils (1.5 m from the
stream) (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). At each location, two dipwells with a
10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> perforated sampling window at either 30–40 or
60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth were installed, with the dipwells separating the soil
water from the surrounding soil allowing the measurement of soil water
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. Dipwells were constructed from 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>
inner diameter (ID) pipe open at the bottom and sealed at the surface using
rubber bungs (Saint Gobain Performance Plastics, France). To prevent damage
to the dipwells over winter due to freezing, the short above ground section
was covered in insulation foam. Each dipwell contained a Vaisala CARBOCAP
GMP221 non-dispersive infra-red (NDIR) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensor (range 0–5 %).
Prior to deployment, sensors were enclosed in a water-tight, gas-permeable
membrane <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx33" id="paren.50"/>. At each sampling point a third
dipwell, constructed from 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> ID pipe perforated along its entire
1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> length and open at the bottom, was used for the measurement of
water table depth (Level Troll 300, In-situ, USA) and soil temperature
(CS457A, Campbell Scientific, USA), with sensors suspended at 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth. All sensors were connected to a data logger (CR1000, Campbell
Scientific, USA) which recorded measurements at 30 min intervals. The system
ran for three months (from 1 July 2012) to allow it to become stabilised and
equilibrated before the main measurement period over one hydrological year (1
October 2012–30 September 2013). Soil moisture content was recorded by
time domain reflectometry (TDR) probes <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx45" id="paren.51"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Schematic of the hillslope–riparian transect used in this study.
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors were installed in dipwells with sampling windows at
30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. An additional dipwell for water table and
soil temperature was perforated along the full length to 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth.
The grey box indicates the zone of transient saturation (between max and min
water table positions) over the hydrological year.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015-f01.pdf"/>

        </fig>

      <p>Measurements were made at one point in the hillslope and riparian zone
assuming, as with all transect studies, that these points are representative
of the catchment overall. A single transect approach is appropriate for this
catchment due to the small area (0.13 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) and limited variability
in soils and vegetation <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx41" id="paren.52"/>. Furthermore, overland
flow or deeper groundwater inputs to the stream have been shown to be limited
in this catchment <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx49" id="paren.53"/>. The sampled
riparian zone is consistent with the 13 riparian zones in the wider Krycklan
Riparian Observatory <xref ref-type="bibr" rid="bib1.bibx23" id="paren.54"/>.</p>
      <p>Stream water dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (measured using the same
Vaisala <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors), plus discharge were measured continuously in a
heated dam house at the catchment outlet <xref ref-type="bibr" rid="bib1.bibx38" id="paren.55"/>, 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>
downstream from and over the same time period as soil measurements.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data processing and analysis</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensor output was corrected for temperature and pressure using
the method of <xref ref-type="bibr" rid="bib1.bibx61" id="text.56"/> but using algorithms supplied by the
manufacturer specific to the GMP221 sensors. In addition to atmospheric
pressure, the correction also accounted for the head of water above the
sensor, related to the water table depth at the time of sampling. Corrected
concentrations are given in units of <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> with mg <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C 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> used for export calculations.</p>
      <p>The export of water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from each <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of hillslope and
riparian zone were estimated using a flow-concentration model, a similar
approach to the riparian integration model concept used previously in this,
and similar, hillslope–riparian systems <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx57" id="paren.57"/>. Our
study used measured water table positions in the hillslope and riparian zone
while previous studies have used a correlation between groundwater and runoff
dynamics <xref ref-type="bibr" rid="bib1.bibx23" id="paren.58"/>.</p>
      <p>The model was constructed by subdividing the 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> deep soil profile
into 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> horizons. The daily lateral water export from each
5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> soil layer was estimated by combining the measured volumetric
water content with lateral saturated hydraulic conductivity estimated by
<xref ref-type="bibr" rid="bib1.bibx59" id="text.59"/>. Total daily water export from the full soil profile was
estimated by adding together the lateral flow from all 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> horizons
below the daily mean water table. As <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was only
measured at two depths (30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>) these were assumed to
represent the concentration above and below 45 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. Daily
average <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations below the water table, in mg
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C 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>, were multiplied by the water export, with
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export expressed in units of mg
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C m<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> day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The model was run twice to estimate the
export from (1) podzol hillslope soils and (2) riparian organic soils.
Hillslope export was taken to represent the input of water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
into the riparian zone with riparian export representing the total
terrestrial water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export to the stream.</p>
      <p>Downstream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was determined by multiplying daily mean stream
water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration with discharge at the catchment outlet. Based
on the assumption that all stream water carbon is derived from terrestrial
inputs, evasion was estimated by subtracting the downstream lateral
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export from the export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the riparian zone to
the stream. Whilst we recognise this assumption may not be completely met and
we may be underestimating total inputs and therefore evasion, in stream
processing in this catchment is likely to be minimal due to the low
temperatures, pH and short water residence time <xref ref-type="bibr" rid="bib1.bibx47" id="paren.60"/>. Our
results therefore provide a useful means to consider temporal variability in
a flux which is otherwise unmeasurable at high temporal resolution.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Hillslope–riparian hydrological connectivity</title>
      <p>Water table was significantly higher in the riparian zone compared to the
hillslope, but with similar temporal variability (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Mean
(<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD) hillslope water table during the hydrological year was
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> compared with <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37 <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">cm</mml:mi></mml:math></inline-formula> in the
riparian zone (Table <xref ref-type="table" rid="Ch1.T1"/>). Volumetric soil moisture content was also
higher in the riparian zone (mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD of 0.73 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.008 and
0.46 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.004 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 30 and 60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depths,
respectively) compared to the hillslope (0.50 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 and
0.45 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.003 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 30 and 60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depths,
respectively).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Mean (min–max) calculated from all continuous measurements over the
hydrological year (1 October 2012–30 September 2013) in the hillslope and
riparian zone. Significant differences between the hillslope and riparian
zone sampling points (at <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> &lt; 0.01) are indicated by <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Hillslope</oasis:entry>  
         <oasis:entry colname="col3">Riparian</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Water table depth (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>118 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10)</oasis:entry>  
         <oasis:entry colname="col3">(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>83 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Temperature (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">4.1</oasis:entry>  
         <oasis:entry colname="col3">3.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(0.8–9.2)</oasis:entry>  
         <oasis:entry colname="col3">(0.6–9.2)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppmv) 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">4410</oasis:entry>  
         <oasis:entry colname="col3">15 130</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(1680–11 730)</oasis:entry>  
         <oasis:entry colname="col3">(4430–21 730)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppmv) 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">5790</oasis:entry>  
         <oasis:entry colname="col3">23 100</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(1170–15 770)</oasis:entry>  
         <oasis:entry colname="col3">(16 140–31 920)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Time series of hillslope and riparian zone <bold>(a)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations sampled at 30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depths,
<bold>(b)</bold> water table and <bold>(c)</bold> soil temperature across the full
measurement period. Horizontal lines in <bold>(b)</bold> highlight the deepest
depths sampled by the 30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
sensors.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015-f02.pdf"/>

        </fig>

      <p>Annual mean (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD) soil temperature was 4.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0 and
3.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the hillslope and riparian zone respectively
with a strong seasonal trend (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Soil temperature (measured
at 70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth) did not fall below freezing, with minimum
temperatures in the hillslope (0.8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and riparian
(0.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) (Table <xref ref-type="table" rid="Ch1.T1"/>) reached at the beginning of May
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>).</p>
      <p>Water table was above the 60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement depth for 32
and 97 % of the time and above the 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth 7 and 59 % of
the time, in the hillslope and riparian zone, respectively. These values
describe the relative proportion of the measurement period over which the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors were submerged.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Hillslope--riparian {$\chem{CO_{2}}$} concentrations}?><title>Hillslope–riparian <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were on average higher in the riparian zone than
the corresponding depth in the hillslope (Table <xref ref-type="table" rid="Ch1.T1"/>). The highest mean
(<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> in the
riparian zone (23 100 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) with the lowest at
30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> in the hillslope (4410 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2570 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>). At both
depths the hillslope and riparian zone <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were
significantly different (Table <xref ref-type="table" rid="Ch1.T1"/>).</p>
      <p>There was considerable temporal variability in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in
the hillslope, which displayed a baseline and peak pattern
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Baseline concentrations were generally
&lt; 2000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>. In the winter period (January–March), median
concentrations at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (1600 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) were 24 %
less than those at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (2110 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>). During drier
periods in summer (July–September), the baseline was higher with median
concentrations at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> (1770 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>), 61 % less than
those at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (4530 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>). The range was also
higher in summer (7640 and 6470 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> at 30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depths) than in winter (680 and 870 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>).</p>
      <p>Periodically, sharp increases in hillslope <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were
observed, corresponding to a rise in water table position (Fig. <xref ref-type="fig" rid="Ch1.F2"/>).
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the hillslope had a positive correlation with
hillslope water table at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> ((<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>0.43</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>) and
60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> (<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>0.65</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>) depths. Over the measurement
period the two spikes with the highest <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (14 100
and 13 160 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) occurred when the water table was above the level
of the deeper (60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth) sensor at <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>51 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Total monthly export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the <bold>(a)</bold> hillslope
and <bold>(b)</bold> riparian zone across the measurement period.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015-f03.pdf"/>

        </fig>

      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the riparian zone did not display the same
baseline and peak pattern as the hillslope. At 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth,
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations peaked at 31 920 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> in October before
falling to 16 140 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> in April (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). This change in
concentration closely followed soil temperature which decreased over a
similar period from 9.2 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C to the annual minimum of 0.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
on 26 April 2013 (Fig. <xref ref-type="fig" rid="Ch1.F2"/>), coinciding with minimum <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations had a weak positive correlation
with riparian water table at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> (<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>0.12</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>) and
a weak negative correlation at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> (<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:mo>-</mml:mo><mml:mn>0.21</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>)
depth. At 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth in the riparian) depth. At
30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth in the riparian zone there was considerably more
temporal variability in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations than at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth with concentrations at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth rising during periods of
higher water table. Minimum concentrations (4430 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) occurred in
April before the spring snowmelt event.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Hillslope--riparian water and {$\chem{CO_{2}}$} export}?><title>Hillslope–riparian water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export</title>
      <p>Annual water export from each m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of hillslope over the hydrological year
was estimated at 230 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Across the year, water export was
consistently low with flow largely restricted to below <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth. Total monthly export was highest in May (109 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
accounting for 47 % of the annual hillslope water export, due to greater
flow at 25–35 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (37 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Hillslope
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export over the hydrological year was
1144 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and followed a similar
pattern to water export. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was considerably higher in May
(482 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), accounting for 42 %
of the annual <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export, largely due to considerable export
(93 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from 45–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth (Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <?xmltex \opttitle{Riparian--stream water and {$\chem{CO_{2}}$} export}?><title>Riparian–stream water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export</title>
      <p>Annual water export from the riparian zone to the stream channel over the
hydrological year was estimated at 270 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Below
65 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth, although water export was relatively low
(&lt; 3 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) it occurred for &gt; 97 %
of the measurement period. Water export was highest in a zone between 25 and
50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. At shallower depths (0–25 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>) flow was
restricted to the wettest months. Total monthly export was highest in May
(49 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) due to dominant flow at 25–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth
with maximum monthly flow (9 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) at 35–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth.</p>
      <p>Total annual <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export from the riparian zone to the stream channel
over the hydrological year was estimated at
3008 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Two monthly peaks in
riparian <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export to the stream occurred over the hydrological
year, in December (529 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and May
(522 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was
highest in a narrow zone between 25 and 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). In December, water flow (5 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export (77 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were
highest from 35–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. In May, maximum flow of both water and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was from the same depth (35–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>) at
9 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and
96 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <?xmltex \opttitle{Downstream {$\chem{CO_{2}}$} export and evasion}?><title>Downstream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export and evasion</title>
      <p>Total catchment runoff over the hydrological year was 265 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Total downstream lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export from the
catchment was estimated at 1183 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
There was considerable temporal variability in the downstream lateral export
of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the catchment, related to temporal variability in
discharge (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Median downstream lateral export was
1.2 mg <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C m<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> day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with two large spikes (57 and
35 mg <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C m<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> day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) corresponding to sudden
increases in discharge after storm events. Over the same period the input of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the soil to the stream was
3008 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Based on the assumption that
all stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is derived from soil input then by subtraction
1825 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is lost between the soil and
the stream (i.e. evasion from the stream surface), which accounted for
60 % of export via the aquatic pathway (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Mean daily <bold>(a)</bold> discharge (<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>), <bold>(b)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
export from the riparian zone to the stream, <bold>(c)</bold> downstream lateral
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export and <bold>(d)</bold> vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> evasion over the
hydrological year.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.biogeosciences.net/12/1881/2015/bg-12-1881-2015-f04.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{Hillslope--riparian {$\chem{CO_{2}}$} concentrations}?><title>Hillslope–riparian <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations</title>
      <p>It was hypothesised that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations would be higher in the
riparian zone as a result of enhanced production (by decomposition of soil
organic matter and root respiration) due to the higher organic matter content
of riparian peat (&gt; 80 %) compared to hillslope podzols
(&lt; 5 %) <xref ref-type="bibr" rid="bib1.bibx45" id="paren.61"/> and greater mobilisation of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to the generally wetter conditions found in riparian zones
<xref ref-type="bibr" rid="bib1.bibx8" id="paren.62"/>. Changes in the soil water content can result in:
(1) initial displacement of high <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration soil atmosphere as
soils become saturated and (2) decreased vertical diffusion as soil pore
space becomes saturated with water. Weathering of carbonate parent material
can also contribute but carbonate bedrock is not found in this catchment
<xref ref-type="bibr" rid="bib1.bibx65" id="paren.63"/>. Mean hillslope concentrations (Table <xref ref-type="table" rid="Ch1.T1"/>) are
within the range (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) reported by
studies conducted in similar forest podzol soils <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx30 bib1.bibx61" id="paren.64"/>. Mean riparian concentrations at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>
depth were similar to those in a Finnish riparian zone at the same depth
(14 200–16 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx52" id="paren.65"/> but <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations at 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth were considerably higher
(Table <xref ref-type="table" rid="Ch1.T1"/>).</p>
      <p>There was considerable temporal variability in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations,
especially in the hillslope, corresponding to water table fluctuations
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the hillslope podzol
soils over the measurement period, with peaks of 14 100 and
13 160 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>, both occurred during high water table conditions, as
also observed by <xref ref-type="bibr" rid="bib1.bibx52" id="text.66"/>. During the winter months
(January–April) when the water table was generally low, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations remained relatively stable at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>) suggesting that the vertical exchange of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
greater than the lateral export during these periods <xref ref-type="bibr" rid="bib1.bibx21" id="paren.67"/>.</p>
      <p>Temporal variability in riparian zone <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations was more
pronounced at 30–40 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth which can largely be attributed to
water table fluctuations (the sensor was below the water table for 59 %
of the measurement period). The 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> sampling depth was below
the water table for 97 % of the measurement period with water table
variability alone unlikely to explain the observed pattern in riparian
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was linked to soil
temperature, which had a strong seasonal cycle (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) suggesting
root respiration and/or organic matter decomposition, driven by changes in
soil temperature, provides an additional control on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations. During periods of generally high water tables in the riparian
zone, such as during the spring snowmelt event in May, concentrations
increased (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) again highlighting the importance of water table
fluctuations on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in soils.</p>
      <p>Overall, the large temporal variability in porewater <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration, especially in the hillslope, can largely be attributed to
water table fluctuations altering the rate of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mobilisation and
vertical diffusion of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> stored in soil pore space. This confirms
the results of others who measured higher <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations during
periods of water table fluctuation <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx52" id="paren.68"/>. The
importance of the water table for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration dynamics suggests
that pore water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration differences between the hillslope
and the riparian zone are strongly influenced by the altered diffusion
gradient and surface exchange of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with the atmosphere; the
riparian zone had continually higher water tables than the hillslope
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). However, despite the importance of water table
fluctuations, most of the existing studies involving continuous use of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors have been focused predominately above the water table,
potentially missing this observation <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx30 bib1.bibx61" id="paren.69"/>. This highlights the importance of considering <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration changes over the full soil profile depth, especially in
horizons which experience frequent fluctuations between wet and dry
conditions. In this study, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were only determined at
two sampling depths (30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>). In the riparian zone the
shallower measurement depth was below the water table 59 % of the time
giving a range of measurements under saturated and unsaturated conditions.
The deeper measurement point was below the water table 97 % of the time
giving concentrations under saturated conditions. These two sampling depths
therefore gave a good overall representation of soil conditions, and their
respective <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{Hillslope--riparian--stream water and {$\chem{CO_{2}}$} export}?><title>Hillslope–riparian–stream water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export</title>
      <p>The total export of water per m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of hillslope was
230 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and from the riparian zone 270 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
Both estimates correspond well (proportional to the relative upslope
contributing area) to the annual catchment runoff of 265 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
The lateral movement of water along the hillslope–riparian–stream continuum
is dependent on a number of assumptions, principally that lateral subsurface
flow is the dominant hydrological pathway and that these flow paths are
perpendicular to the stream. These assumptions have been validated for the
study catchment by the observed planar nature of the water table
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.70"/> and through stable isotope studies <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx49" id="paren.71"/>. Alternative flow paths, such as overland flow and
groundwater recharge are not important at this site <xref ref-type="bibr" rid="bib1.bibx23" id="paren.72"/>.
Downslope lateral water flow occurs in saturated soils, with minimal lateral
flow occurring above the water table, in accordance with the transmissivity
feedback conceptualisation of subsurface flows in shallow till catchments
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx54" id="paren.73"/>.</p>
      <p>Transmissivity feedback, which has been widely observed in this catchment, is
defined as the increase in lateral saturated hydraulic conductivity towards
the soil surface, resulting in more lateral flow as water table rises into
near surface soil horizons <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx5 bib1.bibx36" id="paren.74"/>. The
drier hillslope podzol soils had a greater potential to store water without
increasing water table <xref ref-type="bibr" rid="bib1.bibx56" id="paren.75"/>, limiting the time in which high
water table conditions occurred; mean water position in the hillslope was
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula>. Water table only moved into higher lateral hydraulic
conductivity horizons during the spring snowmelt event in May when 42 %
of annual hillslope <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export occurred, emphasising the importance
of the spring snowmelt event in this system. The results from this study
show that maximum water export occurs where water table position and soil
hydrological properties (lateral hydraulic conductivity and soil water
content) combine to produce the set of conditions most conducive to water
flow, in agreement with the transmissivity feedback principle.</p>
      <p>The concept of a riparian chemosphere has been conceptualised by and shown to
exist in the catchment studied here <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx57" id="paren.76"/>, with the
chemistry of water flowing laterally through the catchment determined by soil
interactions. The final soil encountered by subsurface waters (in this study
the riparian peat soils) will determine the composition of water transported
across the terrestrial–aquatic interface <xref ref-type="bibr" rid="bib1.bibx5" id="paren.77"/>. Over the
hydrological year, total <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export per m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of hillslope was
1144 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with export from the riparian
zone estimated at 3008 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The
organic rich peat soils of the riparian zone therefore represent a
significantly greater <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export source than the podzol hillslope
soils, despite accounting for &lt; 10 % of the catchment area. This
can be related to the higher measured <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The importance of riparian–stream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export is
in agreement with the results for other catchments <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx52" id="paren.78"/> and for total organic carbon in this catchment <xref ref-type="bibr" rid="bib1.bibx23" id="paren.79"/>.</p>
      <p>Few studies have estimated carbon export across the terrestrial–aquatic
interface, especially for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The total annual export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
in this study (3.0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was similar,
given the large inter-annual variability, to the estimate for DIC
(3.2 g DIC m<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> 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>) produced from spot measurements
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.80"/> and the 2.3–6.9 g DIC m<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> 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> estimated
over a longer period (1997–2009) in the same catchment <xref ref-type="bibr" rid="bib1.bibx48" id="paren.81"/>.
As expected, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was lower than in peat dominated catchments
in Sweden (3.1–6.0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
<xref ref-type="bibr" rid="bib1.bibx44" id="paren.82"/> and Scotland
(11.2–15.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx19" id="paren.83"/>.</p>
      <p>The results of this study suggest that the riparian zone, and not the wider
hillslope, is the dominant source of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> entering the stream but the
contribution of the riparian zone to water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transport has been
shown to be episodic, resulting in hotspots and hot moments when export is
greatest <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx62" id="paren.84"/>. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was highest in a
narrow band between 30 and 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth, which accounted for 71 %
of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export. The results from this study suggest that the riparian
zone contains two distinct sources of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export; high export rates
at 30–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth as water table moves into more superficial
horizons and a deeper (&gt; 65 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth) continuous but
smaller export (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The presence of these two water sources in
this catchment has also been shown isotopically <xref ref-type="bibr" rid="bib1.bibx49" id="paren.85"/> and
indicated by the observed bimodal frequency distributions in stream water
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations during storm events <xref ref-type="bibr" rid="bib1.bibx18" id="paren.86"/>.
Therefore, the riparian export rates of water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured here
can be used to explain the observed changes in stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations. This approach can be used as the catchment chosen for this
study is relatively simple in terms of the water flow paths (with water
transported laterally through the soil at &lt; 1 m depth with
groundwater and overland flow not significant) and the consistency of the
riparian lateral extent down the stream reach. In catchments with more
complex hydrology or where the riparian lateral extent is variable, riparian
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export alone may not account for all variability in stream water
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics and additional sources would need to be considered.</p>
      <p>Peaks in water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export occurred in late autumn
(October–December) and May. The export of water from the riparian zone was
highest during May at 49 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> when the spring snowmelt
event occurred, accounting for 18 % of the annual water export from the
riparian zone. In May, at the onset of spring snowmelt, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations were close to minimum values of 3840 and 14 400 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>
at 30–40 and 60–70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depths in the riparian zone, resulting in
relatively low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export despite large water export at this time. In
October–December, despite only moderate water export, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export was
high (275–529 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). During these months, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the
riparian soil were at or close to their maximum values (Fig. <xref ref-type="fig" rid="Ch1.F2"/>),
coinciding with maximum soil water DOC concentrations in late summer/autumn
observed in the catchment <xref ref-type="bibr" rid="bib1.bibx41" id="paren.87"/>. This observed pattern of peaks in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export suggests that riparian export is a function of both season
and runoff. This highlights the importance of capturing hydrological extremes
when quantifying annual estimates of downstream export and evasion of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> across catchments and scales.</p>
      <p>The lateral export of riparian dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is therefore the main
source of stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with the amount of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exported
related to the depth of water flow through the riparian zone. The riparian
export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can therefore be used as an estimate of the catchment
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export to partition the export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via the aquatic
conduit.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <?xmltex \opttitle{Downstream {$\chem{CO_{2}}$} export and evasion}?><title>Downstream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export and evasion</title>
      <p>Total downstream lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export, calculated from the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration and discharge at the catchment outlet, over the hydrological
year was 1.2 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This is within the
range 0.9–1.3 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of estimates for the
same catchment <xref ref-type="bibr" rid="bib1.bibx47" id="paren.88"/> and a peatland catchment in southern
Scotland <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx19" id="paren.89"/>. Due to the greater range in
discharge (0.02–15.3 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>) than dissolved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
(daily mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration ranged from
1.8–7.2 mg <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C 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>); discharge had a greater influence on
temporal variability in downstream lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>
      <p>By subtracting downstream lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export
(1183 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from the estimate of soil
export over the same period
(3008 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), an estimated
1825 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was released to the stream
but not accounted for by downstream lateral export. Photosynthetic uptake by
aquatic plants or in stream respiration is unlikely to be important in this
catchment due to the short water residence times (typically <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.5 h)
and the low temperatures <xref ref-type="bibr" rid="bib1.bibx47" id="paren.90"/>. Hence the remaining <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
is likely to be evaded from the stream surface. Our evasion estimate from the
stream surface (1825 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was at the
lower end of evasion rates determined from direct point measurements in the
same catchment <xref ref-type="bibr" rid="bib1.bibx64" id="paren.91"/>. However, evasion accounted for 60 % of
export via the aquatic pathway supporting previous findings of the rapid
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss from the stream <xref ref-type="bibr" rid="bib1.bibx47" id="paren.92"/>.</p>
      <p>Estimating evasion rate based on this approach is dependent on two
assumptions: (1) all stream water <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is derived from lateral soil
inputs from the riparian zone and (2) a short water transport time between
the riparian zone and the stream to allow rapid exchange of water and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during events. In headwater systems, in-stream productivity
(through biological respiration and photo-degradation of DOC) is limited by
the cold temperatures, low pH and short water residence times
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.93"/>. Additionally, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> evasion from headwater streams
has been widely shown to be composed predominately of recently fixed, plant
derived <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transported from the surrounding soil <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx39" id="paren.94"/>. The transport time for water between the riparian zone and the
stream varied with depth from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> h at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>25</mml:mn></mml:mrow></mml:math></inline-formula> h at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>70</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth. The lateral exchange of water and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between the riparian zone and the stream was rapid enough for the
approach to be valid at the daily scale that was used in the model.
Additionally, the total volume of water exported from the riparian zone
(270 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) corresponded well with the annual runoff from the
catchment (265 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) suggesting that no other inputs of water
are contributing. Riparian <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export to the stream is therefore
sustaining the lateral downstream export and vertical evasion of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>There was considerable temporal variability in the evasion estimate
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>) related to variability in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics in both the
terrestrial (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) and aquatic systems (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). During
the two largest storm events, in which discharge increased suddenly over a
very short time period (&lt; 1 day), downstream lateral export spiked
but without a corresponding increase in soil export. Evasion was therefore
not estimated during these periods. This also occurred during the onset of
the spring flood. This suggests that during storms there may be a rapid input
of overland flow or direct channel water input contributing to discharge
without interacting with the soil. The model used to estimate soil
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export did not include overland flow so may be underestimating
the total flow of water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into the stream during storm events.
Overland flow has been shown to be a relatively minor flow path within the
Västrabäcken catchment <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx49" id="paren.95"/>. However,
during the spring flood, up to 20 % of stream runoff was found to be
derived from snowmelt transported via overland flow <xref ref-type="bibr" rid="bib1.bibx36" id="paren.96"/>.
Thus during the spring snowmelt period, water and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> stored within
the snowpack may be an additional export source, bypassing the soil profile.
In two Finnish catchments, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the snow pack of
500–1900 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> were recorded <xref ref-type="bibr" rid="bib1.bibx21" id="paren.97"/> with snowmelt
estimated to contribute 35–46 % of downstream lateral <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export
during the spring snowmelt period <xref ref-type="bibr" rid="bib1.bibx17" id="paren.98"/>. Over the course of
the spring snowmelt event in the same Finnish catchments the isotopic
signature of evaded <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed a decreasing contribution from
recently fixed, plant derived <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from near surface soil horizons
with a corresponding increase in the atmospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> component,
likely derived from the melting snow pack <xref ref-type="bibr" rid="bib1.bibx3" id="paren.99"/>. In some
headwater catchments, the effects of melt water and overland flow would need
to be accounted for in annual estimates of riparian <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export.</p>
      <p>Although the annual estimate of riparian export and evasion in the study
compare well to estimates from discrete measurements <xref ref-type="bibr" rid="bib1.bibx47" id="paren.100"/>, the
results of this study highlight the importance of high frequency, direct
measurements of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations given the high temporal
variability in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics in the terrestrial and aquatic systems.
Terrestrial processes have been shown to have an important role in
determining <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export via the aquatic pathway in a wide range of
catchments <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx9 bib1.bibx12" id="paren.101"/>. The results from
this catchment indicate that terrestrial–aquatic export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
controlled by riparian water table dynamics, highlighting the potential
importance of riparian zones in headwater catchments. Changes in climate,
especially greater variability in precipitation patterns <xref ref-type="bibr" rid="bib1.bibx28" id="paren.102"/>,
have the potential to alter riparian water table dynamics and since carbon
export via the aquatic pathway has been shown to be positively correlated
with precipitation <xref ref-type="bibr" rid="bib1.bibx48" id="paren.103"/>, impact on the export of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to
streams and the NECB of boreal headwater catchments.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were significantly higher in the riparian zone
than hillslope soils, which we infer was due to (1) greater production of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in riparian peats compared to the hillslope podzols and (2) higher
water table positions limiting the vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diffusion and
exchange with the atmosphere. The results of this study suggest that the
riparian zone, and not the wider hillslope, is the dominant source of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> entering the stream with a hotspot for export observed at
30–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> depth (accounting for 71 % of total riparian export).
Seasonal variability was high with peaks in export during the spring flood
and autumn storm events highlighting the importance of high frequency
measurements in this very dynamic system.</p>
      <p>Downstream <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export (determined from stream water dissolved
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and discharge) was
1.2 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Subtracting downstream lateral
export from riparian input (3.0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
gives 1.8 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-C <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> which can be attributed
to evasion losses (accounting for 60 % of export via the aquatic
pathway). The results highlight the importance of terrestrial <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
export, especially from the riparian zone, for determining catchment aquatic
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> losses and especially for maintaining the high evasion fluxes
from boreal headwater streams.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The work was funded by a UK Natural Environment Research Council (NERC)
Algorithm PhD studentship (NE/I527996/1) and the Swedish Research Council
(2012-3919). We thank all those involved in the Krycklan catchment study,
especially Peder Blomkvist and Victor Sjöblom, for all their field
assistance.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: S. Bouillon</p></ack><ref-list>
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