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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESurf</journal-id><journal-title-group>
    <journal-title>Earth Surface Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESurf</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Surf. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2196-632X</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/esurf-10-421-2022</article-id><title-group><article-title>Organic carbon burial by river meandering <?xmltex \hack{\break}?> partially offsets bank erosion carbon fluxes <?xmltex \hack{\break}?> in a discontinuous permafrost floodplain</article-title><alt-title>Organic carbon burial by river meandering partially offsets bank erosion carbon fluxes</alt-title>
      </title-group><?xmltex \runningtitle{Organic carbon burial by river meandering partially offsets bank erosion carbon fluxes}?><?xmltex \runningauthor{M.~M.~Douglas et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Douglas</surname><given-names>Madison M.</given-names></name>
          <email>mmdougla@caltech.edu</email>
        <ext-link>https://orcid.org/0000-0002-0762-4719</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Gen K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6300-3570</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fischer</surname><given-names>Woodward W.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Rowland</surname><given-names>Joel C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kemeny</surname><given-names>Preston C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>West</surname><given-names>A. Joshua</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6909-1471</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schwenk</surname><given-names>Jon</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Piliouras</surname><given-names>Anastasia P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chadwick</surname><given-names>Austin J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lamb</surname><given-names>Michael P.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Division of Geological and Planetary Science, California Institute of Technology, Pasadena, CA 91125, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth Sciences, University of Southern California, Los Angeles, CA 90089, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Madison M. Douglas (mmdougla@caltech.edu)</corresp></author-notes><pub-date><day>10</day><month>May</month><year>2022</year></pub-date>
      
      <volume>10</volume>
      <issue>3</issue>
      <fpage>421</fpage><lpage>435</lpage>
      <history>
        <date date-type="received"><day>15</day><month>October</month><year>2021</year></date>
           <date date-type="accepted"><day>12</day><month>April</month><year>2022</year></date>
           <date date-type="rev-recd"><day>18</day><month>March</month><year>2022</year></date>
           <date date-type="rev-request"><day>3</day><month>November</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Madison M. Douglas et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022.html">This article is available from https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022.html</self-uri><self-uri xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022.pdf">The full text article is available as a PDF file from https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e181">Arctic river systems erode permafrost in their banks and mobilize particulate organic carbon (OC). Meandering rivers can entrain particulate OC from permafrost many meters below the depth of annual thaw, potentially enabling the production of greenhouse gases. However, the amount and fate of permafrost OC that is mobilized by river erosion is uncertain. To constrain OC fluxes due to riverbank erosion and deposition, we collected
riverbank and floodplain sediment samples along the Koyukuk River, which
meanders through discontinuous permafrost in the Yukon River watershed,
Alaska, USA, with an average migration rate of 0.52 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">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>. We measured sediment total OC (TOC) content, radiocarbon activity, water content, bulk density, grain size, and floodplain stratigraphy. Radiocarbon activity and TOC content were higher in samples dominated by silt as compared to sand, which we used to map OC content onto floodplain stratigraphy and estimate carbon fluxes due to river meandering. Results showed that the Koyukuk River erodes and re-deposits a substantial flux of OC each year due to its depth and high migration rate, generating a combined OC flux of a similar magnitude to the floodplain net ecological productivity. However, sediment being eroded from cutbanks and deposited as point bars had similar OC stocks (mean <inline-formula><mml:math id="M2" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SD of <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">125.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in cutbanks versus <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">114.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in point bars) whether or not the banks
contained permafrost. We also observed radiocarbon-depleted biospheric OC in both cutbanks and permafrost-free point bars. These results indicate that a substantial fraction of aged biospheric OC that is liberated from
floodplains by bank erosion is subsequently re-deposited in point bars rather than being oxidized. The process of aging, erosion, and re-deposition of floodplain organic material may be intrinsic to river–floodplain dynamics, regardless of permafrost content.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e282">The warming climate is changing Arctic landscapes, inducing complex
feedbacks in the global carbon cycle as permafrost soils thaw
(Schuur et al.,
2015; Turetsky et al., 2020). Changes in air temperature and precipitation
have increased the thickness of the active layer (ground overlying
permafrost that experiences seasonal freeze–thaw cycles), allowing
respiration of soil organic carbon (OC) previously frozen for thousands of
years
(Romanovsky
et al., 2010; Isaksen et al., 2016; Biskaborn et al., 2019). Organic carbon
is also lost from permafrost through lateral erosion by Arctic rivers – the
six largest Arctic rivers contribute <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> Tg of river
particulate OC (POC) to the Arctic Ocean annually
(McClelland et
al., 2016). Since a substantial portion of eroded POC is thought to be prone
to oxidation (Schreiner et al., 2014), river
erosion of POC could play an important role in the greenhouse gas fluxes
associated with permafrost thaw
(Toohey et al., 2016;
Walvoord and Kurylyk, 2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e297">Overview of sediment erosion and deposition patterns in meandering
river floodplains and important variables influencing the regional carbon
cycle. <bold>(a)</bold> Drone photograph taken looking east across the Koyukuk River
floodplain, Alaska (location marked with a white star in Fig. 2). The river
flows south toward the bottom of the image (indicated by black arrow),
eroding the cutbank on the outside of the river bend and depositing sediment
on the point bar. Channel migration generates bands of higher and lower
elevation sections of floodplain called scroll bars. As the river migrates,
an individual bend becomes more sinuous, eventually cutting itself off and
abandoning a section of channel, which becomes an oxbow lake. <bold>(b)</bold> Schematic
of a meandering river floodplain, with channel geometry variables shown in
black and particulate organic carbon reservoirs and fluxes into and out of
the river control volume shown in purple. The river has bankfull depth <inline-formula><mml:math id="M8" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> and
migrates laterally at rate <inline-formula><mml:math id="M9" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>, maintaining a constant channel width. Organic
carbon is stored in the river cutbanks (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and point bars (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)
and is transported in the river as particulates (POC). These reservoirs are
mixtures of radiocarbon-dead (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mtext>Fm</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) petrogenic organic carbon
(<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mtext>OC</mml:mtext><mml:mtext>Petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and biospheric organic carbon (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mtext>OC</mml:mtext><mml:mtext>Bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) that has been
stored in permafrost (low Fm) or been recently fixed by the biosphere (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mtext>Fm</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Fluxes of organic carbon into and out of the river control volume
include cutbank erosion (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), point bar deposition (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), overbank
deposition (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and oxidation of POC and DOC (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022-f01.jpg"/>

      </fig>

      <p id="d1e440">As Arctic rivers migrate laterally across permafrost floodplains, they can
mine sediment and organics from over 10 m below the active layer
(Spencer et al., 2015;
Kanevskiy et al., 2016). Permafrost floodplains are thus an important source
of POC to rivers
(Kanevskiy
et al., 2016; Loiko et al., 2017; Lininger et al., 2018; Lininger and Wohl,
2019). After mobilization by a river, POC can be oxidized during transport
(Striegl
et al., 2012; Denfeld et al., 2013; Serikova et al., 2018) or re-buried in
floodplains
(Wang
et al., 2019; Torres et al., 2020). Alternatively, POC can be delivered
downstream to the ocean, where it may be oxidized to <inline-formula><mml:math id="M20" 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>, reduced to
<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, or buried in deltaic sedimentary deposits
(Torres
et al., 2020; Hilton et al., 2015). Riverbank erosion may be limited by the
rate of permafrost thaw
(Costard et al., 2003;
Randriamazaoro et al., 2007; Dupeyrat et al., 2011), implying that erosion
rates could increase with warming air and river water temperatures.
Therefore, more rapid riverbank erosion resulting from warming temperatures
has the potential to increase fluvial POC fluxes and oxidation, resulting in
a positive feedback on the concentration of atmospheric carbon dioxide
(Striegl
et al., 2012; Denfeld et al., 2013; Serikova et al., 2018). The magnitude
and timescale of this feedback are highly uncertain but may be important to
consider for predicting and mitigating impacts from anthropogenic climate
change.</p>
      <p id="d1e466">Floodplain POC stocks are vulnerable to erosion by Arctic rivers
(Vonk et al., 2019; Parmentier et al., 2017).
For instance, Lininger et al. (2018, 2019) mapped OC contents and stocks
across the Yukon Flats and found significant variability in OC contents
between riverine landforms (Lininger et al., 2018) as well
as underestimation of floodplain OC stocks in previous data compilations
(Lininger et al., 2019). Their work built on
previous studies that characterized vegetation and permafrost succession
through a time series of floodplain surfaces that had been progressively
abandoned by river migration (Shur and Jorgenson,
2007). Yet major questions remain about the magnitude of POC fluxes due to
bank erosion and bar deposition in permafrost river systems as well as the
physical processes that govern these fluxes
(Lininger and Wohl, 2019).</p>
      <p id="d1e469">Alluvial rivers commonly maintain an approximately constant channel width,
eroding one bank while depositing sediment at a commensurate rate on the
opposite bank (Fig. 1a)
(Dietrich et
al., 1979; Eke et al., 2014). Riverbank erosion has been shown to contribute
substantially to downstream POC fluxes
(Kanevskiy et al., 2016). However, it
is unclear to what extent the OC released by bank erosion is compensated by
OC burial in depositional bars as opposed to being transported downstream
or oxidized during transport within river systems (Fig. 1b)
(Wang
et al., 2019; Scheingross et al., 2021).</p>
      <p id="d1e472">To quantify POC storage and mobilization, we investigated the Koyukuk River
in the Yukon River watershed, Alaska, USA (Fig. 2), which is an actively
meandering river in discontinuous permafrost. We quantified OC stocks using
measurements of OC content in field samples and extrapolated these across
the floodplain using floodplain stratigraphy and correlations between grain
size and OC content. We then used a one-dimensional mass-balance model to
quantify net fluxes of OC into and out of the river due to bank erosion and
bar deposition. To attribute OC to biospheric versus rock-derived
(petrogenic) sources, we used radiocarbon measurements to infer the presence
of a petrogenic OC end-member and compared the range of biospheric
radiocarbon compositions in permafrost and non-permafrost sediment samples
and landforms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e477">Sample locations on the Koyukuk River floodplain. Locations are
coded for sites where we sampled ice-cemented permafrost versus ice-poor
ground inferred to be non-permafrost. Sample sites are located near the
village of Huslia, in central Alaska, and the river flows towards the south
past the town. Sampling locations are mapped on Landsat imagery, with the white
star marking the location of Fig. 1a (drone photo taken looking east). The
inset map was generated using the “Alaska Coast Simplified” and “Major
Rivers” shapefiles from the Alaska State Geo-Spatial Data Clearinghouse.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022-f02.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Approach</title>
      <p id="d1e494">To understand cycling of POC between rivers and floodplains, we developed an
approach to ascertain OC sources and determined if OC eroded from river
deposits was transported downstream or re-buried (Fig. 1b). Eroding banks can
source OC from modern vegetation and organic horizons near the bank surface
as well as deeper sediment that may be depleted in radiocarbon. Radiocarbon
provides an effective tracer of OC aging in floodplains (Galy and Eglinton, 2011; Torres et al., 2017), but several processes can produce depleted radiocarbon signals. First, many Arctic permafrost deposits are relicts from colder climatic conditions (O'Donnell et al., 2012). These deposits have low
radiocarbon activity, expressed as fraction modern (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mtext>Fm</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mtext>sample,norm</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn><mml:msub><mml:mi>A</mml:mi><mml:mtext>Ox,norm</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>sample,norm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicates sample <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> activity normalized for isotope fractionation to <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (VPDB – Vienna Pee Dee Belemnite), while <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>Ox,norm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicates NBS Oxalic Acid I normalized to <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula> ‰, with <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> reported in per mill (‰)) (Reimer et al., 2004). If mobilized permafrost POC is re-buried in bars without the addition of newly fixed biospheric OC, then bar sediment should also have OC with low Fm values inherited from permafrost carbon. Second, sediment can contain a radiocarbon-dead, petrogenic OC component that contributes to low Fm values (Blair et al., 2003). We expected a petrogenic OC contribution in floodplain sediments throughout the Koyukuk River system, since the headwaters of the Koyukuk River contain outcrops of shale bedrock rich in kerogen
(Dumoulin et al., 2004; Wilson et al., 2015; Slack et al., 2015). Third,
river–floodplain interactions generate organic carbon with low Fm values via
transient OC storage, independent of the presence of either permafrost or
petrogenic OC (Torres et al., 2020). For example, floodplain deposits can remain in place over millennial timescales before being reworked by the river channel due to the stochastic nature of river lateral migration (Torres et al., 2017; Repasch et al., 2020). Therefore, radiocarbon measurements provide insight into OC sources but require de-convolving petrogenic OC from biospheric OC and assessing aging of OC by storage in permafrost versus non-permafrost floodplain deposits.</p>
      <p id="d1e649">We used sediment total OC (TOC) and Fm measurements to calculate the Fm of the
biospheric OC end-member as well as the contribution of petrogenic OC to our
samples. This calculation allowed us to determine if low Fm values were due
to a high content of radiocarbon-dead rock-derived OC or preservation and
aging of OC in permafrost or in the river floodplain (Fig. 1b)
(Scheingross et al., 2021). Both
radiocarbon-dead OC derived from bedrock erosion (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and aging of
biospheric OC (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) in permafrost and river floodplain deposits will
yield sediment OC with low Fm values (Fig. 1b). We partitioned the TOC
contents measured in each sample (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) into a two end-member mixture
of biospheric (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and petrogenic OC
(<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) fractions (Fig. 4c)
(Blair
et al., 2003; Cui et al., 2016):

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M34" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>f</mml:mi><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the fraction of organic carbon from
biospheric and petrogenic sources. Changes in the ratio of biospheric to
petrogenic OC, as well as aging of the biospheric pool, will change the
measured fraction modern in sediment OC (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; unitless ratio)
(Galy et al., 2008). By mass balance,
          <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M38" display="block"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        The petrogenic OC end-member was assumed to be radiocarbon-dead
(<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), and Eqs. (1) and (2) substituted into Eq. (3) yield
          <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M40" display="block"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        A nonlinear optimization of Eq. (4) for <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> versus <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was used
to calculate 95 % confidence intervals around <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (effectively the
mean radiocarbon activity of biosphere-derived carbon) and the
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> content in cutbank and point bar sediment samples (Fig. 4c)
(Hemingway
et al., 2018; Wang et al., 2019). We reported a range of fitted <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
end-members to compare biospheric OC eroding from cutbanks to that being
deposited in point bars because cutbanks comprise a mixture of permafrost
and non-permafrost terrain with varying Fm values that are homogenized
during transport in the river. This optimization also considers a range of
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> content end-members for cutbanks and point bars. We do not expect
that geographic location on the Koyukuk floodplain has a strong control on
sediment <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mtext>OC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> content. While recent work found evidence for
petrogenic OC oxidation during riverine transport of sediment
(Bouchez et al., 2010; Horan et al., 2019), these
studies focused on river reaches spanning hundreds of kilometers, 1 order
of magnitude longer than our study reach. Even over hundreds of kilometers,
Horan et al. (2019) found that less than half of petrogenic
OC eroded from the Mackenzie River catchment was oxidized during transport.
Therefore, it is reasonable to assume that the production and oxidation of
rock-derived OC is limited within our study reach and a single
<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> end-member is appropriate for cutbanks and another for point
bars.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Materials and methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Field sampling methods</title>
      <p id="d1e1067">We collected samples from 33 locations along the Koyukuk River near the
village of Huslia, Alaska, during June–July 2018 (Fig. 2 inset; Fig. S1
in the Supplement). Near Huslia, the mean annual air temperature is <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Nowacki et al.,
2003; Daly et al., 2015, 2018). The Koyukuk is a meandering river in
discontinuous permafrost (portions of the floodplain are underlain by ground
below 0 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> while others are not) with well-defined scroll bars
(former levees) (Mason and Mohrig, 2019) that demarcate
clear spatial patterns of channel lateral migration (Fig. 2)
(Shur and Jorgenson, 2007). Bands of vegetation
outline scroll bars on the floodplain that were abandoned due to channel
lateral migration and meander-bend cutoff (Fig. 1). Seasonal variations in
temperature cause an annual freeze–thaw cycle in sediment near the ground
surface across the landscape, called the active layer, while the ground
below, in areas of permafrost, is perennially at sub-zero temperatures. To
represent the diversity of floodplain geomorphology, permafrost occurrence,
and deposit ages, we selected eight permafrost cutbanks, six non-permafrost
cutbanks, six permafrost floodplain cores, four non-permafrost floodplain cores
and pits, and nine non-permafrost cores and pits in transects across two point
bar complexes to characterize floodplain stratigraphy and carbon
geochemistry (Fig. 2; Tables S1 and S2 in the Supplement). We categorized
permafrost as ice-cemented sediment observed during our summer field season,
often containing ice lenses and other structures indicative of permafrost
(Fig. 3a and b) (French and Shur, 2010).
Permafrost cutbanks often had an undercut marking the high water level where
bank sediment was directly thawed by the river and collapsed as well as
abundant toppled trees indicating active bank erosion. We classified terrain
without ice cement observed to the depth of coring or sampling as
non-permafrost (Fig. 3a and c), although this category might also include
perennial sub-zero ground that lacked pore water to form ice cement. Bank
samples were collected by digging into cutbanks and point bars, and cores
were taken using a hand auger in non-permafrost deposits and a Snow, Ice,
and Permafrost Research Establishment (SIPRE) auger in permafrost (Fig. 2).
All samples were recorded in stratigraphic columns to determine the
thickness of each stratigraphic unit. Samples were stored in sterile
Whirl-pak bags and frozen within 12 h of collection and then transported
frozen back to a cold room (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) at Caltech for laboratory
analyses.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1128">Field observations of Koyukuk riverbanks and floodplain
stratigraphy. <bold>(a)</bold> Representative stratigraphic columns from non-permafrost
(Bank 2) and permafrost (Bank 6) cutbanks. <bold>(b)</bold> Field photo of boundary
between permafrost ice cement and the overlying active layer in Core 4. <bold>(c)</bold>
Thermoerosional niche formed in a permafrost cutbank, with silty permafrost
overlain by a layer of peat and black spruce trees. <bold>(d)</bold> Eroding riverbank
without permafrost, hosting a white spruce forest with roots that reach deep
into the bank sediment. Complete stratigraphic sections and additional field
photos are in Figs. S2 and S3.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022-f03.jpg"/>

        </fig>

      <p id="d1e1149">River bathymetry was characterized using a Teledyne RioPro acoustic Doppler
current profiler (ADCP). We calculated a river depth of 12.4 m as the mean
of the deepest measured value (i.e., the thalweg) for eight ADCP river
cross-sectional transects across a representative meander bend. Mean bank
erosion rates for the portion of the Koyukuk we studied were 0.52 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">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> averaged over the time period of 1978–2018 (Rowland
et al., 2019). Over the same time interval, channel width varied from
<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mn mathvariant="normal">173</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">43</mml:mn></mml:mrow></mml:math></inline-formula> m in 1978 to <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mn mathvariant="normal">179</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">43</mml:mn></mml:mrow></mml:math></inline-formula> m in 2018 (median <inline-formula><mml:math id="M57" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SD),
indicating a balance between cutbank erosion and point bar deposition over
this period since net lateral erosion or deposition would change channel
width (Fig. S2).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Laboratory analyses</title>
      <p id="d1e1208">Samples were transferred to pre-combusted aluminum foil, weighed, and oven-dried at 55–60 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to calculate the mass fraction of water
(<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). For samples taken using the SIPRE auger with known volume,
bulk density (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated from total mass divided by
volume. The samples were gently homogenized using an agate mortar and
pestle and then split using cone and quarter or a riffle splitter, to avoid
grain size fractionation, for further analysis.</p>
      <p id="d1e1256">Total organic carbon content (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. 2), stable organic carbon isotopes, and total nitrogen (TN) content were measured on a Costech Elemental Analyzer coupled to a MAT 253 IRMS (isotope ratio mass spectrometer) at Los Alamos National
Laboratory (LANL). Prior to analysis, samples were ground to a powder and
approximately 3 mg of each sample was decarbonated by fumigation with HCl in
silver capsules. Isotope ratios are reported relative to the VPDB (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>; reported in per mill (‰)), and measured blanks were below the peak detection limit. Measurements were calibrated using laboratory standards of 2,5-Bis(5-tertbutyl-2-benzo-oxazol-2-yl) thiophene (BBOT, Eurovector; <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mtext>TOC</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">72.53</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">69.59</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.05</mml:mn></mml:mrow></mml:math></inline-formula> %;
<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰, measured as <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ‰; <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mtext>TN</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.51</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.82</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>), peach leaves (1570a; <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mtext>TOC</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">44.65</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; measured as <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.33</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.95</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, measured as<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.13</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mtext>TN</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.83</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.31</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.27</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>), and urea (Eurovector; <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mtext>TOC</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20.00</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.98</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mtext>TN</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">46.65</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mn mathvariant="normal">45.88</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) for TOC and TN and cellulose (IAEA-C3; <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.91</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.82</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>), sucrose (IAEA-C6; <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>), and oxalic acid (IAEA-C8; <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, measured as <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>) for stable OC isotopes, with uncertainties reported as 1 standard deviation (<inline-formula><mml:math id="M85" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1 SD). Values of <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and TN content are not discussed in the main text but are included in figures and tables in the Supplement.</p>
      <p id="d1e1738">Radiocarbon content was measured on a subset of sample at the National Ocean
Sciences Accelerator Mass Spectrometry (NOSAMS) facility in Woods Hole.
Sample splits for radiocarbon were ground to a powder and decarbonated at
Caltech in pre-combusted glassware using 1 M HCl, sonicated for 10 min, and
neutralized using 1 M NaOH. Splits were centrifuged for 10 min, and the
supernatant was removed using a pipette. The samples were rinsed using 20 mL
Milli-Q water, centrifuged and decanted twice before being lyophilized, and
sent to NOSAMS to be measured for radiocarbon activity (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. 3).
NOSAMS also reported total organic carbon content (dry wt % with 5 %
measurement uncertainty) and organic carbon stable isotope measurements
(referenced to VPDB; <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>VPDB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>; reported in per mill
(‰)), and these produced similar results as LANL
(Fig. S5 and Table S2). We used LANL OC contents in
subsequent analyses because they reported smaller uncertainties and because
we made measurements at LANL for all samples. NOSAMS data are used only for
Fm values of the sample subset.</p>
      <p id="d1e1792">Sample splits for grain size analysis were placed into sterile polypropylene
Falcon tubes to remove carbonate and organic materials (Gee and Or, 2002). Samples were acidified overnight with 1 M HCl and then centrifuged for 15 min at 4000 rpm and decanted; they were rinsed twice with DI (deionized) <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, centrifuged, and decanted before being oven-dried at 55–60 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; and they were then reacted with <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on a hot plate at 85 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to remove organics. Floating pieces of organic material were removed using a micro-spatula rinsed with DI <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Additional <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was added until reactions ceased by visual inspection. Samples were rinsed and centrifuged three times before oven-drying. Each sample was re-hydrated using DI <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> mL of 10 g <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NaPO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (sodium hexametaphosphate) per 1 L DI <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was added to prevent flocculation, and samples were sonicated for 3 min. The samples were split while wet using a riffle splitter to the required sediment concentration for laser diffraction, and grain size was measured on a Malvern Mastersizer 2000, with measurements calibrated against a laboratory silica carbide standard (median diameter <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13.184</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>±</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.105</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> throughout our measurements). Grain size data confirmed our field observations of grain size that were made using a sand card and hand lens (Table S5).</p>
      <p id="d1e1965">A subset of TOC and TN contents, stable OC isotopes, and grain size data was previously published in Douglas et al. (2021) (Table S2).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
      <p id="d1e1977">Permafrost cutbanks and floodplains generally displayed an organic-rich
upper horizon, which extended up to 1.3 m below the ground surface in peat,
underlain by silt that abruptly transitioned to sand (Fig. 3a and d; Fig. S3). The thickness of the active layer, measured by trenching or
using a 1 m permafrost probe (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula>), ranged from 40 cm to greater than the
length of the probe, with a median of measured values (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula>) of
approximately 75 cm. Non-permafrost cutbanks had a layer of organic topsoil
overlying silt with abundant roots and organic-rich lenses that became
interbedded and then transitioned to sand with increasing depth (Fig. 3a).
All terrain types exhibited a trend of grain size fining upward, with medium
sand (based on bed-material grab samples taken from a boat with a Ponar
sampler) comprising the channel-bed material. We did not observe permafrost
in active point bars, which had a thin to absent layer of organic topsoil at
the land surface underlain by sandy deposits exhibiting ripple and dune
cross stratification from sediment transport and deposition. Sediment TOC
content and Fm values varied with sediment size. Silt samples had higher
average TOC content than sandy samples, and peat had higher TOC content than
topsoil (Fig. 4a). Although the organic horizons overlying permafrost had a
higher TOC content than the organic horizons overlying non-permafrost
deposits, sediment samples below the organic horizon did not show a
significant difference in TOC content based on the presence or absence of
permafrost for a given grain size (Fig. 4a and b). The strong dependence of TOC
content on grain size allowed us to estimate OC stocks based on measured
stratigraphic sections.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2006">Floodplain sediment geochemistry results. <bold>(a)</bold> Total organic carbon
versus median sediment grain size, with organic horizons split into ice-rich
permafrost peat and non-permafrost topsoil, with 1 SD error bars. The
horizontal lines indicate the mean and shaded region the standard error of
the mean for the peat (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, blue shading), topsoil (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, red shading),
silt (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula> mm, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula>, gray shading), and sand (<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula> mm, <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>, gray shading) grain size classes. <bold>(b)</bold>
Radiocarbon activity (reported as fraction modern, Fm) versus median grain
size, with 1 SD error bars and shaded regions indicating the mean and
standard error of the mean for peat (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>), topsoil (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), silt (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>),
and sand (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(c)</bold> Sediment sample fraction modern (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) plotted
against TOC content (<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and fit using Eq. (4) to calculate
end-members for biospheric radiocarbon fraction modern (<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and
petrogenic organic carbon content (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The 95 % confidence
intervals (CI) for cutbanks and point bars are shaded in blue and yellow,
with the horizontal upper bound on the point bar CI representing
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula> wt %. Black lines denote mixing between representative
values of <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The range of wood and plant debris Fm
values is plotted on the right <inline-formula><mml:math id="M120" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis, indicating the likely range of
biospheric end-members.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022-f04.png"/>

      </fig>

      <p id="d1e2241">Coarser sediment yielded lower Fm values – indicative of older organic
carbon – with silt and organic horizons having higher Fm values (Fig. 4c). A
petrogenic contribution can explain measured differences in sediment Fm and
would be expected to be enriched in the coarser-size fraction
(Galy et al., 2007). To calculate the range of
<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> end-members for cutbank and point bar sediment OC, we
fitted a nonlinear regression (nlinfit.m in Matlab 2017) between
<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> using Eq. (4) and used the Jacobian to calculate
95 % confidence intervals (Fig. 4c). Fitting <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> gave a
range of biospheric radiocarbon (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and petrogenic OC content
(<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) end-members. Some cutbank samples had <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> greater
than <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰, raising concerns about incomplete
decarbonation (see Table S2). However, fitting
<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mtext>TOC</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for cutbank and floodplain samples together but
excluding samples with <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> greater than
<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>) generated a fit with similar end-members
and confidence intervals. Therefore, due to the small number of radiocarbon
activity, we did not exclude the high <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> samples from our
analysis.</p>
      <p id="d1e2428">The 95 % confidence intervals for <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of the cutbanks and point bars overlapped with Fm values from centimeter-scale wood fragments collected from bank samples and cores (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mtext>Fm</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2319</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0015</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9843</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0027</mml:mn></mml:mrow></mml:math></inline-formula>, equivalent to radiocarbon ages of <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">750</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">125</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> yr BP). Since wood and plant debris is devoid of petrogenic OC, its Fm directly reflects storage and aging in these deposits. Therefore, we inferred that non-permafrost point bars also likely contained some aged biospheric OC.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Analysis: organic carbon cycling by river meandering</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Carbon mass balance for a meandering river</title>
      <p id="d1e2513">To evaluate particulate OC fluxes into and out of the Koyukuk River, we used
a mass-balance model applicable to single-threaded, meandering rivers (Fig. 1b), neglecting fluxes due to dissolved OC and wood and plant debris. Our
model includes vertical variations in floodplain structure and their
corresponding OC stocks, following similar floodplain–river exchange models
(Lauer and Parker, 2008). While other models
exist that incorporate more complex boundary conditions and sediment
tracking
(Lauer
and Parker, 2008; Malmon et al., 2003; Lauer and Willenbring, 2010), we
sought the simplest possible framework that could utilize our field data to
constrain carbon fluxes. We considered POC fluxes into the river due to
cutbank erosion (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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>) and out of the river due to POC
being deposited in point bars (<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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>) or overbank deposits
(<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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>) or oxidized during transport and released to the
atmosphere as <inline-formula><mml:math id="M148" 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> (<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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. 1b)
(Striegl
et al., 2012; Denfeld et al., 2013; Serikova et al., 2018). This net budget
is represented by
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M151" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mo>(</mml:mo><mml:mtext>POC</mml:mtext><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          In the subsequent sections, we estimate the organic carbon stocks to find
<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (5) and then discuss the relative magnitudes of
<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Floodplain organic carbon stocks</title>
      <p id="d1e2746">To quantify the fluxes of carbon in and out of the river due to bank erosion
and bar deposition, we first needed to estimate the carbon stocks in the
floodplain. Our approach was to first take advantage of particle-size
correlations with TOC content (Fig. 4a and b), as discussed in detail below, to
estimate carbon contents for stratigraphic units where we only had grain
size information. This process increased our sample size from 9 to 30
complete stratigraphic sections. Next, we used our mapping of floodplain
stratigraphy and grain size to estimate carbon stocks integrated over a
characteristic depth of the floodplain. We produced this analysis using two
different characteristic depths for comparison. A depth of 1 m was used for
comparison to previous studies that often only sampled in the top meter of
the floodplain
(Hugelius
et al., 2014). The second depth we used was the depth of the Koyukuk River (12.4 m) because ultimately this is the thickness of floodplain material that
is being eroded and deposited by the river. In Sect. 5.3, these
depth-integrated carbon concentrations are used to estimate carbon fluxes
due to bank erosion and bar deposition.</p>
      <p id="d1e2749">Measured stratigraphic sections were divided into four units (Fig. S4): sand (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">63</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), mud (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">63</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), topsoil (organic horizons overlying non-permafrost sediment), and peat (organic horizons overlying permafrost). These stratigraphic units
correlated with distinct magnitudes of mean TOC content (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and mass
fraction of water (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). We found the average TOC value from each
unit and assigned these average values to the corresponding units for beds
where we measured grain size but did not measure TOC. We quantified the
uncertainty in <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> using Gaussian error propagation
of 1 standard deviation (Tables S2–S4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2871">Carbon cycling due to river meandering. <bold>(a)</bold> Total organic carbon
(OC) in each stratigraphic column integrated to 1 m below surface, with
unmeasured portions of the section assumed to be sand; horizontal lines
indicate the mean and shaded regions 1 SD for the complete dataset. <bold>(b)</bold> Total
organic carbon in each stratigraphic column integrated to mean channel depth
(12.4 m) using the same assumptions and uncertainty. <bold>(c)</bold> The net OC flux due
to channel migration is comparable to floodplain net ecological productivity
(NEP), and both are zero within uncertainty. The net flux of OC into the
river due to erosion of cutbanks and out of the river due to sediment
deposition in point bars in the Koyukuk River is calculated as the mean OC
stock for each landform (with <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD OC stock uncertainty for that
landform) multiplied by an average channel migration rate for a 1 m
downstream section of riverbank. The cutbank and point bar fluxes are
differenced to calculate the net bank erosion flux. Floodplain NEP is
calculated for a 10 km wide, 1 m downstream distance section of floodplain
using previously reported regional NEP and uncertainties
(Potter et al., 2013).</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/10/421/2022/esurf-10-421-2022-f05.png"/>

        </fig>

      <p id="d1e2900">To estimate carbon stocks, total OC measurements and estimated values for
each unit (Fig. 4a; Figs. S6 and S7) were integrated both over
1 m depth below the surface (Fig. 5a) and over a depth equivalent to the
bankfull river depth (12.4 m; Fig. 5b). We calculated the depth-integrated
OC stock using
            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M165" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>CB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          We accounted for <inline-formula><mml:math id="M166" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> beds of the four stratigraphic units in each measured
stratigraphic section, where <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mean unit bulk density (kg
wet sediment per <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the unit thickness (m),
<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
mass fraction of OC in the unit (kg OC per kg dry sediment of each unit), and
<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the mass fraction of water in the unit (kg <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> per kg wet
sediment of each unit). <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mtext>dry</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, with
<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mtext>dry</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> being the mass fraction of dry sediment in the unit (kg dry
sediment per kg wet sediment of each unit). Bulk densities measured from
cores for mineral (mean <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD of <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">989</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">323</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>) and
organic (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">905</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) horizons were the same within
uncertainty (Table S2). Therefore, we used a constant mean
bulk density (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">971</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">283</mml:mn></mml:mrow></mml:math></inline-formula>) across all stratigraphic
units (Table S3).</p>
      <p id="d1e3225">Measurement and sampling were only possible on the exposed section of the
riverbank, above the water level. Exposed sections represented 7 %–47 % of
total bank height (as measured from channel thalweg to bank top). We assumed
all sediment below the base of our stratigraphic sections consisted of sand,
which was supported by our measurements of grab samples of the active
channel and cores of the floodplain beyond 2 m depth (Fig. S3) and was consistent with downward-coarsening trends widely
observed in meandering rivers and their deposits (Tables S3–S4) (Miall, 2013).</p>
      <p id="d1e3228">Estimated permafrost cutbank and floodplain OC stocks integrated to 1 m
depth were <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SD of OC stocks;
<inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula>), while non-permafrost cutbanks, floodplains, and point bars contained
<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 5a). The Mann–Whitney <inline-formula><mml:math id="M190" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test
found that OC stocks in permafrost and non-permafrost deposits had similar
organic content distributions (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1669</mml:mn></mml:mrow></mml:math></inline-formula>). Grouping results by terrain type,
permafrost and non-permafrost cutbanks had <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">30.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>), permafrost and non-permafrost floodplains had <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula>), and non-permafrost point bars had <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>). The Mann–Whitney <inline-formula><mml:math id="M201" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test could not reject the null
hypothesis of cutbank and floodplain OC stocks being drawn from the same
distribution at 5 % confidence (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7891</mml:mn></mml:mrow></mml:math></inline-formula>), but the test found weak
evidence for point bars having distinctly lower OC stocks (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0503</mml:mn></mml:mrow></mml:math></inline-formula> for
floodplains versus point bars, <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0601</mml:mn></mml:mrow></mml:math></inline-formula> for point bars versus cutbanks).
Therefore, floodplains and cutbanks generally had higher OC stocks in their
upper 1 m of sediment than point bars, but we did not observe a significant
difference in 1 m OC stocks between permafrost and non-permafrost deposits
(Fig. 5a).</p>
      <p id="d1e3523">Estimated permafrost cutbank and floodplain OC stocks integrated over the
channel depth were <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">125.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SD of OC
stocks; <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula>), while non-permafrost cutbanks, floodplains, and point bars
contained <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">116.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 5b). The
Mann–Whitney <inline-formula><mml:math id="M212" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test could not reject the null hypothesis that OC stocks in
permafrost and non-permafrost deposits had the same organic content
distributions (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3641</mml:mn></mml:mrow></mml:math></inline-formula>). Grouping results by terrain type, permafrost and
non-permafrost cutbanks had <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mn mathvariant="normal">125.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>),
permafrost and non-permafrost floodplains had <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="normal">121.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula>), and non-permafrost point bars
had <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mn mathvariant="normal">114.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>). Again, the Mann–Whitney <inline-formula><mml:math id="M223" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test could not reject the null
hypothesis of all landform OC stocks being drawn from the same distribution
at 5 % confidence (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3619</mml:mn></mml:mrow></mml:math></inline-formula> for floodplains versus cutbanks, <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8252</mml:mn></mml:mrow></mml:math></inline-formula>
for floodplains versus point bars, <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2799</mml:mn></mml:mrow></mml:math></inline-formula> for point bars versus
cutbanks). Therefore, the distribution of OC stocks integrated to channel
depth for cutbanks was indistinguishable from the distribution of measured
stocks of newly deposited point bars (Fig. 5b).</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Carbon fluxes from river meandering</title>
      <p id="d1e3826">We used the OC stocks calculated to channel depth to quantify POC fluxes due
to lateral channel migration (<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. 5). We averaged the
lateral migration rate over 83 km river length comprising eight meander bends
(Fig. 2) to capture the characteristic sediment transport distances between
depositional events (Pizzuto et al., 2014),
variation in local erosion rate due to channel curvature
(Sylvester et al., 2019; Howard and Knutson,
1984), and the formation of cutoffs and oxbow lakes. We calculated the mean
bank erosion rate by averaging the area of floodplain eroded (1.60 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)
and accreted (1.85 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) from previously published erosion masks
generated using Landsat imagery (Rowland et al., 2019).
Dividing this area by the length of the channel reach centerline (82.823 km)
and the measurement interval for the erosion masks (2018–1978) resulted in a
mean lateral migration rate of 0.52 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">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>.</p>
      <p id="d1e3890">We approximated the flux into the river due to cutbank erosion as
<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>L</mml:mi><mml:mo>×</mml:mo><mml:mi>E</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M233" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is a unit river reach
length (1 m), <inline-formula><mml:math id="M234" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> is the bank erosion rate (0.52 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">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 <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>CB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is
the cutbank carbon stock (<inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The point bar carbon flux was
similarly calculated using <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>L</mml:mi><mml:mo>×</mml:mo><mml:mi>E</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, where
<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the carbon stock of the point bar (<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Using OC
stocks integrated to channel depth, we estimated fluxes of POC due to bank
erosion as <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">65.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</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 due to point bar
deposition as <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">59.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</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. 5c). This
result means that OC fluxes due to bank erosion and bar deposition were
equal within uncertainty.</p>
      <p id="d1e4118">We used radiocarbon measurements to evaluate if (1) the OC being eroded from
cutbanks was oxidized during transport (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), (2) the eroded OC was
re-deposited in bars via lateral accretion (<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) or overbank deposits
(<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), or (3) new biospheric OC was being added to point bars and
floodplains by vegetation growth after sediment deposition. Similar to TOC
and TN contents, Fm displayed a trend of higher values for finer grain
sizes – a pattern consistent with prior findings that reflects the greater
proportional petrogenic OC contribution in coarser material
(Hilton et al., 2015; Galy et
al., 2007). Coarser sediment tended to have lower TOC content, potentially
indicating that low Fm values are in part due to a greater fraction of
petrogenic OC (<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>petro</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). When we fit a range of mixing models to assess
sediment biospheric radiocarbon activity, we found that sediment from
cutbanks and point bars had similar ranges of potential biospheric OC
end-members (Fig. 4c). This observation matched the range of aged wood and
plant debris found at sediment sampling locations.</p>
      <p id="d1e4165">Our mass-balance calculation and the presence of aged <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mtext>Fm</mml:mtext><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in newly
deposited point bars both support the hypothesis that a significant
fraction of OC eroded from cutbanks is re-deposited in the floodplain and
not oxidized during transport. In addition to point bar deposition, OC could
be lost from the river via overbank deposition (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). In this case, one
would expect the carbon stocks to increase on floodplain surfaces of
increasing age due to the deposition of silt units near the surface. Our
measurements did indicate a slight increase in 1 m OC stocks between
recently deposited point bars and floodplain inferred to be older based on
their distance to the river (Fig. 5a), but they did not show a significant
increase in OC stock when integrated to channel depth (Fig. 5b). One
possible explanation could be that <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is substantial but that this
carbon has been remineralized and lost to the atmosphere. To constrain the
frequency of overbank flooding along the Koyukuk River near Huslia, we
examined the Landsat image record and did not find instances of overbank
flooding. Ice jams, where floating ice piles up and causes high water during
spring break up along Arctic rivers, occurred only four times near Huslia
from 1967–2019, and in these cases, overbank flooding did not occur
(White and Eames, 1999). Therefore, historical records
suggest that sediment fluxes due to overbank sediment deposition are
relatively minor compared to fluxes due to channel migration. Our
stratigraphic observations showing a similar thickness of capping silt
units in floodplain stratigraphy (with a mean of 1.29 m for cutbank, 0.92 m
for floodplain, and 1.55 m for point bar samples; Table S4), and the low mass fraction of siliciclastic sediment in organic
horizons (based on high mass fraction TOC; Fig. 4a) also indicated that
overbank deposition of sediment on the distal floodplain is relatively
small.</p>
      <p id="d1e4202">Rather than additional OC from overbank flows, floodplains do appear to
accumulate additional OC from biomass production. We observed an increase in
organic horizon thickness, from a mean of 0.06 m in point bars to 0.45 m in
cutbanks and 0.44 m in floodplain deposits, primarily driven by increasing
thickness of peat horizons (Table S4). The increase in
organic horizon thickness can explain the cutbank and floodplain OC stocks
summed to 1 m depth being slightly higher than the point bar 1 m OC stocks.
Since OC stocks summed to channel depth were statistically similar between
landforms, we expected that there was some oxidation of modern, labile OC
during fluvial transport that was replaced after sediment was deposited in a
point bar by biomass production. In spite of biospheric OC input to
floodplain sediment through the growth of peat (on permafrost) and an
organic-rich topsoil (on non-permafrost), observations of sediment
containing old radiocarbon in both cutbanks and point bars indicate that
point bar OC has been eroded from upstream and subsequently re-deposited,
generating a reservoir of OC that has been aged by sediment storage along
the Koyukuk River.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Discussion</title>
      <p id="d1e4214">Our mass-balance model indicated that channel migration generated
substantial fluxes of OC into the river (<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OC</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
cutbank erosion). If we assumed that all OC in point bars was deposited with
river sediment, the calculated OC fluxes due to bank erosion and bar
deposition balanced each other within uncertainty (Fig. 5c). However, our
radiocarbon analyses indicated that a portion of the biospheric OC in point
bars was fixed after deposition by local vegetation. This was reflected in
slightly higher 1 m OC stocks in cutbanks and floodplain deposits versus
point bars. If we instead assumed that around half of OC in eroding cutbanks
was oxidized during river transport, we calculated the river must transport
downstream or oxidize <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</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> per meter of river
reach. For comparison, measurements of floodplain net ecological
productivity (NEP) – the rate of OC fixation minus respiration – indicated
that an equivalent 10 km wide, 1 m long river reach would emit <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">39.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">OC</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> (mean <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SD) (Potter et al.,
2013). Therefore, the large depth (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> m) and migration rates
(0.52 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">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 the Koyukuk River allow fluxes due to bank erosion and
deposition to exceed floodplain NEP, despite the far smaller land area of
erosion and deposition along the riverbanks compared to the expansive
floodplain. In addition, our results indicate that <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % of
OC liberated by bank erosion comes from below the top meter. Therefore,
large downstream OC fluxes from river migration can be attributed to rapid
exposure and mobilization of a deep OC reservoir not readily accessible by
top–down thaw.</p>
      <p id="d1e4354">The channel migration rates we measured reflect the river area eroded versus
deposited from 1978–2018, and these migration rates are influenced by the
cutoff of a narrow river reach that decreases channel length but slightly
increases average width (Fig. S2). Autogenic processes
such as river response to cutoffs and re-visiting areas of the floodplain
more or less frequently may cause transient changes in downstream OC fluxes
along the Koyukuk. However, sparse observations indicate very high excess
dissolved <inline-formula><mml:math id="M262" 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 methane in Koyukuk River water, supporting that there
is significant OC oxidation during transport (<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)
(Striegl et al., 2012). Overall, significant work remains to
understand the partitioning of OC loss between the dissolved and particulate
loads as well as between petrogenic versus biospheric POC, particularly
since DOC concentration and lability varies seasonally in the headwaters of
the Koyukuk River (O'Donnell et al., 2010).</p>
      <p id="d1e4379">Our results indicated less variability in OC stocks across the Koyukuk River
floodplain than previous work by Lininger et al. (2019), who found
significant variations in OC stocks between geomorphic units in the Yukon
Flats. Lininger et al. (2019) report OC stocks to a depth of 1 m along the
Yukon River and its tributaries and extrapolated the deepest measured
mineral OC contents to 1 m based on similar OC content in a few samples
taken at depth along cutbanks. Similar to their results, we found that newly
deposited point bars without a thick organic horizon had slightly lower OC
stocks for the upper 1 m of sediment. Our results also agree with Lininger
et al. (2019) that the coarser sediment
fraction contributes significant OC and that floodplain sediments can store
OC for thousands of years between riverine transport events. However, we
found little variation with geomorphic unit for OC stocks calculated to the
channel depth (12.4 m). Though we included organic horizons extending below
1 m, the majority of our OC budget used to calculate fluxes due to channel
migration was comprised of the more massive sandy deposits with low OC
content. These differences point to the importance of river depth relative
to the depth of significant floodplain biospheric OC production and the
grain size of the floodplain material at depth. We hypothesize that cutbank
and point bar OC stocks will be similar for rivers with coarser sediment and
channels much deeper than the active layer and rooting depth of vegetation.
In contrast, OC stocks in floodplains of fine-grained, shallow rivers might
have a higher fraction of their OC oxidized after erosion from cutbanks and
replaced after deposition in point bars.</p>
      <p id="d1e4382">The presence of aged biospheric OC in newly deposited, non-permafrost point
bars along the Koyukuk River illustrated that floodplains are important
reservoirs of aged OC in sediments both with and without permafrost. Rivers
tend to rework younger floodplain deposits faster than older floodplain
deposits, and this can yield a heavy-tailed distribution of deposit ages and
carbon storage over thousands of years (Torres et al., 2017). Our results supported the idea that a fraction of particulate OC has experienced transient mobilization and deposition and thus becomes naturally aged during
transport through the river–floodplain system. Therefore, particulate OC
with old radiocarbon signatures might be attributed to OC storage in
floodplains and may not be a diagnostic indicator of permafrost thaw. One
might expect better preservation of carbon stocks in permafrost deposits.
However, our field observations of bank sediment rapidly changing color from
gray to orange when exposed to air imply that thawed floodplain sediments
may be anoxic, which would reduce rates of organic matter respiration in
non-permafrost deposits. When coupled with cold mean annual temperatures,
anoxic non-permafrost terrain might be similarly effective as permafrost in
preserving and aging biospheric OC stocks (Davidson et al., 2006). Thus,
transient storage of particles in floodplains, potentially for thousands of
years (Repasch et al., 2020; Torres et al., 2020), may delay or diffuse downstream signals of perturbations to the watershed's carbon cycle before reaching long-term monitoring stations at river mouths or sediment depocenters (McClelland et al., 2016; Holmes et al., 2012).</p>
      <p id="d1e4386">Climate change is expected to cause a decrease or disappearance of
permafrost, which might alter rates of POC oxidation (<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OX</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), overbank
deposition (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and ultimately downstream riverine POC fluxes.
Permafrost thaw is also hypothesized to increase river lateral migration
rates (Costard et al., 2003), although such
changes have yet to be systematically documented. For the Koyukuk River,
higher channel migration rates should, with all else equal, increase the
magnitude of OC fluxes due to erosion and deposition and thereby decrease
the residence time and age of OC within the floodplain, but possibly with no
net change in OC fluxes from the floodplain to the river. However, if, for
example, climate change increases the relative importance of overbank
deposition of OC-rich mud (higher <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>OB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) relative to sand bar accretion,
then this change would cause a permanent increase in floodplain OC stocks,
with associated decreases in OC river fluxes during the transient period of
floodplain grain size fining. In contrast, an increase in channel lateral
migration relative to overbank flooding would cause floodplains to become
sandier and floodplain OC stocks to decline. Furthermore, climate change is
altering flood discharge and frequency
(Koch et al., 2013; Vonk et
al., 2019; Walvoord and Kurylyk, 2016) as well as sediment supply, often
associated with thaw slumps
(Kokelj
et al., 2013; Lantz and Kokelj, 2008; Malone et al., 2013; Shakil et al.,
2020). Increases in flood magnitude could cause channel widening
(Ashmore and Church, 2001; Walvoord and Kurylyk,
2016), which would increase cutbank OC fluxes relative to point bar fluxes
(<inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>CB</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>PB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), creating a transient increase in riverine OC
flux. We expect that changes in floodplain hydrology and sedimentation due
to climate change will alter downstream particulate OC fluxes and floodplain
OC storage along deep, meandering Arctic rivers similar to the Koyukuk. In
the process, sediment deposition in river bars should preserve
radiocarbon-depleted OC and dampen positive feedbacks due to POC being
released from permafrost by riverbank erosion as the climate warms.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e4448">To evaluate the role of riverbank erosion and bar deposition in liberating
organic carbon (OC) from permafrost floodplains, we conducted a field
campaign along the Koyukuk River in central Alaska, taking samples of
riverbank and floodplain sedimentary deposits. Finer bank sediment had a
systematically higher TOC content and Fm values than coarser sands. We
combined measurements on individual samples with measured floodplain
stratigraphic columns to calculate OC stocks for cutbanks, point bars, and
floodplains summed to both 1 m below the surface and extrapolated to the
12.4 m river channel depth. We found that cutbanks had slightly higher OC
stocks than point bars at shallow depths. However, OC stocks integrated to
river channel depth did not significantly vary between river cutbanks,
floodplain, and point bars or with the presence or absence of permafrost. As
the Koyukuk River migrates, it is able to rapidly erode this deep OC
reservoir, generating substantial OC fluxes from bank erosion and bar
deposition. Net OC fluxes due to river migration are of the same order of
magnitude as floodplain net ecological productivity, despite the river
occupying a small fraction of the land surface. Our results indicate that
floodplain processes generated an aged biospheric radiocarbon signature in
newly deposited point bars, and variations in sediment Fm with grain size
may be due to mixing with a petrogenic end-member. We conclude that a
portion of biospheric OC that was eroded from cutbanks was preserved through
transport and deposition. The presence of radiocarbon-depleted sediment in
non-permafrost deposits indicates that aged POC in Arctic rivers is not a
unique indicator for the presence of permafrost. Our results highlight that
Arctic floodplains are significant reservoirs of OC, and their stratigraphic
architecture and morphology influence POC fluxes and radiocarbon ages
transmitted downstream. Therefore, sediment deposition in river bars should
dampen positive feedbacks due to POC being released from permafrost by
riverbank erosion as the climate warms.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4455">All datasets are included in the paper and Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4458">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/esurf-10-421-2022-supplement" xlink:title="zip">https://doi.org/10.5194/esurf-10-421-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4467">MPL, JCR, WWF, AJW, GKL, and MMD conceptualized the study. MPL, AJW, JCR and GKL determined the methodology. MMD, GKL, JCR, PCK, AJW, JS, APP, AJC, and MPL collected field data. MMD, GKL, PCK, and AJW assisted with geochemistry. MPL supervised the work. MMD conducted data analysis and wrote the original draft, and all authors contributed to the review and editing of the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4473">One author is a member of the editorial board of <italic>Earth Surface Dynamics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4484">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4490">We thank the Koyukuk-hotana Athabascans of Huslia, First Chief Norman Burgett, and the Huslia Tribal Council for land access and US Fish and Wildlife Service (USFWS) – Koyukuk National Wildlife refuge for research permitting and logistical assistance. Shawn Huffman, Alvin Attla, and Virgil Umphenour provided field support and local expertise. We also thank Alex Sessions and Fenfang Wu for use of equipment and assistance with preparing samples for TOC analysis and Matthew Kirby for use of the Malvern Mastersizer and assistance with grain size analysis.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4495">We acknowledge financial support from the Department of Energy Office of Science, Biological and Environmental Research, Earth and Environmental Systems Sciences Division, Subsurface Biogeochemical Research Program Early Career Award to Joel C. Rowland; Caltech Terrestrial Hazards Observation and Reporting Center, Foster and Coco Stanback, the Linde Family, and the Resnick Sustainability Institute to Michael P. Lamb and Woodward W. Fischer; the Caltech Center for Environmental Microbial Interactions to Woodward W. Fischer; National Science Foundation Awards 2127442 and 2031532; the National Defence Science and Engineering Graduate Fellowship for Madison M. Douglas and Preston C. Kemeny; and the Fannie and John Hertz Foundation Cohen/Jacobs and Stein Family Fellowship for Preston C. Kemeny.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4501">This paper was edited by Robert Hilton and reviewed by Jordon Hemingway and one anonymous referee.</p>
  </notes><ref-list>
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