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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-20-3013-2016</article-id><title-group><article-title>Vegetative impacts upon bedload transport capacity <?xmltex \hack{\newline}?> and channel stability for differing alluvial planforms <?xmltex \hack{\newline}?> in the Yellow River source zone</article-title>
      </title-group><?xmltex \runningtitle{Vegetative impacts upon bedload transport capacity and channel stability}?><?xmltex \runningauthor{Z.~W.~Li et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Zhi Wei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Yu</surname><given-names>Guo An</given-names></name>
          <email>yuga@igsnrr.ac.cn</email>
        <ext-link>https://orcid.org/0000-0003-4436-1345</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Brierley</surname><given-names>Gary</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Wang</surname><given-names>Zhao Yin</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Hydraulic Engineering, Key Laboratory of Water Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha University of Science &amp; Technology, Changsha, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Environment, University of Auckland, Auckland, New Zealand</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Guo An Yu (yuga@igsnrr.ac.cn)</corresp></author-notes><pub-date><day>28</day><month>July</month><year>2016</year></pub-date>
      
      <volume>20</volume>
      <issue>7</issue>
      <fpage>3013</fpage><lpage>3025</lpage>
      <history>
        <date date-type="received"><day>6</day><month>December</month><year>2015</year></date>
           <date date-type="rev-request"><day>1</day><month>February</month><year>2016</year></date>
           <date date-type="rev-recd"><day>29</day><month>June</month><year>2016</year></date>
           <date date-type="accepted"><day>8</day><month>July</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016.html">This article is available from https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016.pdf</self-uri>


      <abstract>
    <p>The influence of vegetation upon bedload transport and channel
morphodynamics is examined along a channel stability gradient ranging from
meandering to anabranching to anabranching–braided to fully
braided planform conditions along trunk and tributary reaches of the Upper
Yellow River in western China. Although the regional geology and climate are
relatively consistent across the study area, there is a distinct gradient in
the presence and abundance of riparian vegetation for these reaches atop the
Qinghai–Tibet Plateau (elevations in the study area range from 2800 to 3400 m a.s.l.).
To date, the influence of vegetative impacts upon channel planform
and bedload transport capacity of alluvial reaches of the Upper Yellow River
remains unclear because of a lack of hydrological and field data. In this
region, the types and pattern of riparian vegetation vary with planform type
as follows: trees exert the strongest influence in the anabranching reach,
the meandering reach flows through meadow vegetation, the
anabranching–braided reach has a grass, herb, and sparse shrub cover, and
the braided reach has no riparian vegetation. A non-linear relation between
vegetative cover on the valley floor and bedload transport capacity is
evident, wherein bedload transport capacity is the highest for the anabranching
reach, roughly followed by the anabranching–braided, braided, and meandering
reaches. The relationship between the bedload transport
capacity of a reach and sediment supply from upstream exerts a significant
influence upon channel stability. Bedload transport capacity during the
flood season (June–September) in the braided reach is much less than the
rate of sediment supply, inducing bed aggradation and dynamic channel
adjustments. Rates of channel adjustment are less pronounced for the
anabranching–braided and anabranching reaches, while the meandering reach is
relatively stable (i.e., this is a passive meandering reach).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Transitions in river character and behavior are a key focal point of
enquiry in fields such as geomorphology, hydrology, and sedimentology. Such
concerns have significant management applications, especially relating to
issues such as management of flood risk and sedimentation hazards. These
issues are likely to become even more pronounced in the future, as rivers
adjust in response to climate and land use changes, and management actions.
Putting aside concerns for terminological issues associated with
differentiation of river types and their morphological attributes (see Lewin
and Ashworth, 2014; Carling et al., 2014; Tadaki et al., 2014),
process-based understandings of morphodynamic adjustments are required to
address concerns for prospective future river changes (Beechie et al.,
2010). Here we evaluate the influence of riparian vegetation upon process
interactions along relatively understudied reaches of the Upper Yellow River
atop the Qinghai–Tibet Plateau in western China. Qualitative description and
analysis of this complex influence on bedload transport capacity remains
unclear to our knowledge.</p>
      <p>Channel bars are products of instream deposition of bedload materials,
whether at the channel margin (bank-attached forms) or mid-channel bars
(Brierley and Fryirs, 2005). Typically, bars mutually adjust with channel
geometry, such that they scale to the size of the channel in which they form
(Task Force on Bed Forms in Alluvial Channels, 1966; Nicholas et al., 2013).
If these features become vegetated and stabilized, they are referred to as
islands (Fryirs and Brierley, 2012). Unit bars (migrating lobate bed forms
with heights and lengths that scale with channel depth and width) are
differentiated from larger, more complex compound bars (e.g., Bridge, 1993;
Brierley, 1989, 1991; Brierley and Hickin, 1991; Smith, 1974). Compound bars are products of multiple
phases of accretion and reworking, with stacked sequences of unit bar, dune,
and smaller bed form deposits that are often trimmed at their margins by
bank erosion processes or dissected by chute channels (Ashworth et al.,
2011; Best et al., 2003; Bridge, 2003; Brierley and Fryirs, 2005; McGowen
and Garner, 1970; Reesink et al., 2014; Sambrook et al., 2009).
Various studies have characterized the main morphological elements of large
bars and islands, while other studies have developed conceptual models of
bar evolution (e.g., Ashworth et al., 2000; Gurnell et al., 2001; Latrubesse
and Franzinelli, 2002; Mertes et al., 1996).</p>
      <p>There is notable variability in the presence, form, and
hydraulic/sedimentologic (morphodynamic) role of bars along the continuum of
channel planform (Bridge, 1993; Brierley, 1996). By definition, as
suspended-load rivers have limited bedload-calibre materials, they have very
few, if any, bars. The prominence of fine-grained (silt-clay) deposits under
low energy conditions (often very low channel gradient) promotes passive
channel behavior, typically with a low sinuosity, passive meandering, or
anabranching (anastomosing) planform (Eaton et al., 2010; Fryirs and
Brierley, 2012; Makaske, 2001; Wang et al., 2005). Patterns of bar formation
in mixed- and bedload-dominated rivers reflect the flow–sediment balance
along any given reach, with a spectrum of planform types ranging from active
meandering and wandering variants through to fully braided rivers (see
Ashworth, 1996; Ashworth and Lewin, 2012; Burge, 2006; Church and Rice,
2009). Braiding results from the inability of flow to transport all
sediments that are made available to the channel, such that mid-channel
sedimentation occurs (i.e., competence and/or capacity limits are exceeded).
Recurrent reworking of bedload materials via thalweg shift during flood
events alters the number, shape, and location of bars. Bar dissection and
avulsion create multi-thread channel systems with a disorderly river
planform, extremely unstable bars, and inconstant flow paths (Ashmore, 1991;
Ashworth et al., 2000; Jerolmack and Mohrig, 2007).</p>
      <p>If channel boundary conditions induce sufficient bank strength, and flows
are able to transport available bedload sediments, the river adopts a
configuration with better-defined, less mobile channels with a much lower
width–depth ratio, whether within a single-channel configuration (typically
passive meandering) or a multi-channel anabranching configuration (Eaton et
al., 2010; Song and Bai, 2015). Controversy abounds in our theoretical
understanding of process controls upon anabranching river behavior (see
Carling et al., 2014; Nicholas et al., 2013). While Huang and Nanson (2007)
and Jansen and Nanson (2004, 2010) attributed an anabranching configuration
to the least action principle, wherein channels adjust their form to
transport available sediment in the most hydraulically efficient manner,
Eaton and co-workers postulated an alternative theoretical framing in which
anabranching channels adjust to minimize their capacity to transport
materials (Eaton and Church, 2007; Eaton et al., 2004, 2010). It is not our
concern here to address this issue directly. Rather, our focus lies with
analysis of relationships between bedload transport capacity and channel
morphodynamics along a continuum of channel planform types that is
coincident with a gradation in riparian vegetation cover along the Upper
Yellow River (Yu et al., 2014).</p>
      <p>Bar stability is the key distinguishing attribute of braided and
anabranching rivers. In some instances, vegetation may support the long-term
development of stable sandbars within a stable multi-channel system – a
variant of an anabranching river (Latrubesse, 2008; Nanson and Knighton,
1996; Murray and Paola, 2003; Tal and Paola, 2010). Vegetation increases
flow resistance and stabilizes the channel bed and bank along anabranching
rivers, thereby altering channel geometry, bedload transport rates, and the
resulting rates and patterns of bed deposition or erosion. Once a particular
morphology has been formed, the configuration of channels and associated
distribution of bars and roughness elements fashion process responses to
subsequent flood events (Hooke, 1986, 2015; Hooke and Yorke, 2011; Luchi et
al., 2010). If critical threshold conditions are exceeded, alterations to
the balance and patterns of erosion and deposition processes may bring about
transitions to different planform types.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Characteristics of the four study reaches (flood season is June–September).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Alluvial</oasis:entry>

         <oasis:entry colname="col2">Planform</oasis:entry>

         <oasis:entry colname="col3">Catchment</oasis:entry>

         <oasis:entry colname="col4">Flood-season</oasis:entry>

         <oasis:entry colname="col5">Channel</oasis:entry>

         <oasis:entry colname="col6">Vegetation</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">reach</oasis:entry>

         <oasis:entry colname="col2">type</oasis:entry>

         <oasis:entry colname="col3">area</oasis:entry>

         <oasis:entry colname="col4">mean</oasis:entry>

         <oasis:entry colname="col5">gradient</oasis:entry>

         <oasis:entry colname="col6">cover</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">(km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col4">discharge</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4">(m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Dari</oasis:entry>

         <oasis:entry colname="col2">anabranching–</oasis:entry>

         <oasis:entry colname="col3" morerows="1">45 020</oasis:entry>

         <oasis:entry colname="col4" morerows="1">270</oasis:entry>

         <oasis:entry colname="col5" morerows="1">0.0012</oasis:entry>

         <oasis:entry colname="col6">dense grasses/</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">braided</oasis:entry>

         <oasis:entry colname="col6">sparse brush</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Maqu</oasis:entry>

         <oasis:entry colname="col2">anabranching</oasis:entry>

         <oasis:entry colname="col3">86 000</oasis:entry>

         <oasis:entry colname="col4">920</oasis:entry>

         <oasis:entry colname="col5">0.0005</oasis:entry>

         <oasis:entry colname="col6">dense trees</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Lanmucuo</oasis:entry>

         <oasis:entry colname="col2">meandering</oasis:entry>

         <oasis:entry colname="col3">660</oasis:entry>

         <oasis:entry colname="col4">15</oasis:entry>

         <oasis:entry colname="col5">0.0015</oasis:entry>

         <oasis:entry colname="col6">dense grass</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Daheba</oasis:entry>

         <oasis:entry colname="col2">braided</oasis:entry>

         <oasis:entry colname="col3">5200</oasis:entry>

         <oasis:entry colname="col4">70</oasis:entry>

         <oasis:entry colname="col5">0.0018</oasis:entry>

         <oasis:entry colname="col6">non-vegetation</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Mutual adjustments between patterns of vegetation types (size, spacing, and
density) and flow–sediment dynamics (patterns and rates of erosion and
deposition) vary at different positions on the valley floor. Vegetation
encroachment by pioneer species and successional processes induce abiotic
and biotic transitions in geomorphic processes from the unvegetated channel
bed and bar surfaces to grassland, shrubs, and treed areas at the margins of
bars/islands and on floodplains (Corenblit et al., 2007, 2011; Gurnell,
2014; Hickin, 1984; Hupp and Osterkamp, 1996; Millar, 2000; Tooth and
Nanson, 2000). Vegetation attributes influence the pattern of roughness
elements and the associated distribution of flow energy, thereby affecting
the distribution of erosional and depositional processes, and resulting
morphological attributes (including the grain size distribution of bed/bar
materials). Hence, vegetative controls influence the stability and behavior
of the alluvial bed and bars, and the influence of vegetation upon flow–sediment
interactions vary for differing planform types (Gran and Paola, 2001;
Gradzinski et al., 2003; Jang and Shimizu, 2007; McBride et al., 2007).</p>
      <p>Although the prominence of seasonal low–flow stages and nutrient-rich fine
sands may support the growth of annual or perennial herbs and shrubs on
mid-channel and transverse bars in braided rivers, this sparse vegetation
cover has a negligible impact upon sediment deposition and erosion patterns,
and is removed easily at flood stage (Coulthard, 2005). This mutual
interaction between vegetation and erosion-deposition can be viewed as a
threshold condition: if sufficient vegetation establishment occurs,
resistance may exceed the erosion-deposition capability of a normal flood
such that stabilization ensues, prospectively altering sedimentation
patterns, increasing bank strength, and reducing channel width–depth ratio
(Gran and Paola, 2001; Coulthard, 2005; Eaton et al., 2010). In anabranching
channels the vegetation cover on mid-channel bars inhibits lateral
migration, inducing a stable branching channel condition. During lower
frequency floods, when bars are partially or completely submerged by flow,
vegetation increases flow resistance, traps sediment, and inhibits erosion.</p>
      <p>This study builds upon previously reported exploratory analyses of river
diversity in the source zone of the Yellow River (Blue et al., 2013;
Brierley et al., 2016; Li et al., 2013; Yu et al., 2014). In this region,
herbs and sparse shrubs that grow on the sand/gravel bars of braided
rivers have a trivial influence upon channel morphodynamics, while
establishment of dense shrubs and sparse trees on sand/gravel bars promotes
the emergence of anabranching channel configurations. Building on these
previous observations, here we appraise process interactions along a
vegetative gradient of river morphologic adjustments for four reaches: the Dari
and Maqu reaches of the Yellow River main stream, and the Daheba and Lanmucuo
river tributaries of the Upper Yellow River (Table 1). The Dari reach has a
semi-stable braided channel, where sandbars are covered by herbaceous
vegetation and sparse shrubs. The Maqu reach has a very stable anabranching
channel with dense willows (<italic>Salix atopantha</italic>) on sandbars. The study reach along the Lanmucuo
River has a stable gravel meandering river with herb coverage. The study
reach along the Daheba River has a very unstable gravel braided channel without
vegetation cover. We develop and apply a simplified model to explain the
interaction between sediment transport capacity and river bed deposition in
these reaches, examining the effect of vegetation resistance and adjustment
of fluvial hydraulic geometry. From this, we quantitatively analyze the
stability and evolution of braided, anabranching, and meandering reaches
during flood events.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study area and methods</title>
      <p>Upstream of Tangnaihai hydrological station the source zone of the Yellow
River drains an area of 132 000 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (see Fig. 1a). In the 1950s, the
Yellow River Conservancy Commission established four hydrological stations
along the Yellow River in this area, namely (from upstream to downstream),
Huangheyan station in Maduo County, Jimai station in Dari County, Maqu
station in Maqu County, and Tangnaihai station in Xinhai County. The reach
from Huangheyan to Jimai station is 325 km long and drains an area of 24 089 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
In this reach the valley is quite wide, with semi-braided and
semi-anabranching planform morphologies characterized by disordered channels
with many bars (Brierley et al., 2016). The reach from Jimai to Maqu is 585 km
long and drains an area of 41 029 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The upper section of this
reach has a deeply incised (confined), sinuous valley between the Anyemaqen
and Bayan Har Mountains. Flowing into the Ruoergai alluvial basin, there is
a diverse array of planform types (Blue et al., 2013; Brierley et al., 2016;
Li et al., 2013). The reach from Maqu to Tangnaihai station is 373 km long
and drains an area of 35 924 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Most of this reach comprises a steep
and incised canyon, with many deeply carved meander bends.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p><bold>(a)</bold> The course of the Upper Yellow River. R1 is the Dari reach, R2 is
the Maqu reach, R3 is the Lanmucuo River, and R4 is the Daheba River, <bold>(b)</bold> Planform
morphology of the study reaches (R1 is the Dari reach, R2 is the Maqu reach, R3 is
the Lanmucuo River reach, and R4 is the Daheba River reach). R1, R2, and R4 are
Google Earth images and R3 is a photograph taken from nearby hills. Points A–D
are the location of photographs shown in Fig. 2.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f01.jpg"/>

      </fig>

      <p>For this study, field investigations of vegetative influences upon bed/bar
geomorphic processes were conducted 4 times in the summers of 2011–2014.
Particle size distributions of bed and bank materials size were analyzed
using a laser particle size analyzer (Mastersizer 2000) and field sieves
were used to test 10 samples of river bed and bank materials in each reach.
As a supplement, photographs of gravel and cobbles on the bed/bar surface
were taken to visually estimate bed particle size. To estimate bedload
transport capacity, channel geometry was assessed in the field and from
remote sensing images of the branching channel network (Google Earth images
from 2005–2014, with a resolution of about 0.24 m).</p>
      <p>The best available hydrological data that could be accessed for this study
were daily stage–discharge data from Jimai (1964–1985), monthly
stage–discharge data from the Maqu (1959–1970), monthly cross section elevation
change data from Shangcun station along the Daheba River (1.8 km upstream
from its confluence with the Yellow River, 2009–2011), and 2011–2014 field
data for the Lanmucuo River (a tributary of the Yellow River in
the Maqu–Tangnaihai section, at an elevation of 3400–4200 m a.s.l., for which
upstream and mid-catchment reaches have a typically meandering channel,
while the downstream reach has a confined bedrock channel). There are no
intensive human activities in this area of the Yellow River source zone.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Characteristics and bed material of alluvial channels in the four study reaches.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Alluvial</oasis:entry>  
         <oasis:entry colname="col2">Channel</oasis:entry>  
         <oasis:entry colname="col3">Water</oasis:entry>  
         <oasis:entry colname="col4">Bed</oasis:entry>  
         <oasis:entry colname="col5">Branching</oasis:entry>  
         <oasis:entry colname="col6">Stability</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">reach</oasis:entry>  
         <oasis:entry colname="col2">width</oasis:entry>  
         <oasis:entry colname="col3">depth</oasis:entry>  
         <oasis:entry colname="col4">material</oasis:entry>  
         <oasis:entry colname="col5">channels</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(m)</oasis:entry>  
         <oasis:entry colname="col3">(m)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Dari</oasis:entry>  
         <oasis:entry colname="col2">450–1600</oasis:entry>  
         <oasis:entry colname="col3">1.0–3.0</oasis:entry>  
         <oasis:entry colname="col4">0.025</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5</oasis:entry>  
         <oasis:entry colname="col6">semi-stable</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Maqu</oasis:entry>  
         <oasis:entry colname="col2">300–1000</oasis:entry>  
         <oasis:entry colname="col3">2.0–5.0</oasis:entry>  
         <oasis:entry colname="col4">0.015</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3</oasis:entry>  
         <oasis:entry colname="col6">very stable</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lanmucuo</oasis:entry>  
         <oasis:entry colname="col2">10–20</oasis:entry>  
         <oasis:entry colname="col3">0.3–1.0</oasis:entry>  
         <oasis:entry colname="col4">0.030</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2</oasis:entry>  
         <oasis:entry colname="col6">very stable</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Daheba</oasis:entry>  
         <oasis:entry colname="col2">150–500</oasis:entry>  
         <oasis:entry colname="col3">0.5–2.0</oasis:entry>  
         <oasis:entry colname="col4">0.060</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3</oasis:entry>  
         <oasis:entry colname="col6">unstable</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3">
  <title>Basic characteristics of four alluvial reaches</title>
      <p>Figure 1b shows the planform morphology of the four channel reaches. Figure 2
shows the channel morphology, pattern of bar types, and bed sediment.
Basic channel characteristics of the study reaches are summarized in Table 2.</p>
      <p>The Dari reach has a semi-braided and semi-anabranching channel in a wide valley
(Fig. 1 – R1 and Fig. 2 – R1). This anabranching–braided transition zone is
considered to be semi-stable, with an active channel zone that is around
1 km wide. The braided part of the channel is made up of many small
longitudinal and transverse bars, with multiple connected branching
channels. In the anabranching part, the large bars/islands have a dense
grassland vegetation. Given the extensive width of the active channel zone,
annual floods during June–September exert negligible impacts upon these
relatively stable surfaces.</p>
      <p>The Maqu reach is located in a wide alluvial valley (1.5–3.0 km wide). The
dense tree cover of the vegetated islands is indicative of a stable channel
configuration (see Fig. 1 – R2 and Fig. 2 – R2). During the flood season, tree
trunks are partly submerged into water, but the trees are sufficiently dense
to limit erosion. As a result, the anabranching system as a whole is quite
stable with high bedload transport capacity.</p>
      <p>The Lanmucuo River is a meadow meandering river with nearly 100 % vegetation
cover (see Fig. 1 – R3 and Fig. 2 – R3). The root system of riparian grasses
induces considerable protection from near-bank erosion. Field investigations
from 2011–2014 indicate that the lateral migration induced by cantilever
bank failure occurred at a rate of less than 0.2 m yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The gravel-bed
channel has a low bedload transport rate in the flood season. In some local
sections, mid-channel bars with dense grass coverage have developed at the
apex of bends. The whole channel is quite stable, in spite of short-term
outer bank failures and long-term meander neck cutoffs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>R1: channel morphology and gravel bed of the Dari reach (photographs
taken on 2 July 2012, 33.7553<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 99.6414<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 3960 m
elevation), R2: channel morphology and gravel bed of the Maqu reach
(photographs taken on 8 July 2012, 33.3594<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
102.0553<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 3465 m elevation), R3: channel morphology and gravel
bed of a grass covered bar in the middle Lanmucuo River (photographs taken on
5 July 2012, 34.4287<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 101.4663<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 3604 m
elevation), R4: channel morphology and gravel bed of the middle Daheba River
(photographs taken on 6 August 2011, 35.5169<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 100.0183<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 2832 m elevation).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f02.jpg"/>

      </fig>

      <p>The Daheba River has incised into the Gonghe–Xinhai sedimentary basin. Severe
gully erosion has incised river–lacustrine sediments to a depth of 50–100 m,
supplying large volumes of gravel/cobble to the middle and lower Daheba
channel, inducing significant bed aggradation and the formation of a braided
planform. Alluvial fans at gully outlets not only supply additional
sediment, but also push the channel to the opposite side of the valley floor
(a big fan is shown near D point in Fig. 1 – R4 and Fig. 2 – R4). As a result,
the main branching channels are subjected to frequent and recurrent
avulsion. Flows erode new small branching channels during the flood season,
but a main channel coexists with several branching channels in the non-flood
season. Unstable mid-channel bars are unvegetated other than sparse
vegetation coverage (grass and shrubs) on riparian banks. The gravel–cobble
bed and high bedload transport rate restrict vegetation establishment and
growth, resulting in a typically unstable braided river.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>River bank of the study reaches <bold>(a)</bold> Dari reach, <bold>(b)</bold> Maqu reach,
<bold>(c)</bold> Lanmucuo River reach, and <bold>(d)</bold> Daheba River reach.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f03.jpg"/>

      </fig>

      <p>Bank strength induced by sediment material mix and vegetation root networks
exerts a critical influence upon the stability of alluvial channels (Eaton
and Giles, 2009). Reinforcement of bank strength reinforced by grass, shrub,
and tree roots is related to the density, depth, and spatial structure of
the root network (Abernethy and Rutherfurd, 2001). Figure 3 shows
representative photographs of river banks in the four study reaches. The
diverse bank material composition and vegetation cover affect the relative
strength of banks and their capacity to resist near-bank flow scour. The
river bank in the Dari reach has a two-layer structure, with a 20–30 cm deep
soil-root layer (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is median size, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02 mm) lying atop a
gravel-sand layer (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.0 mm) (Fig. 3a). The river bank in the Maqu
reach has a dense grass, shrub, and tree cover (Fig. 3b), with no
indication of flow scour in the flood season. The study reach along the
Lanmucuo River has a typical composite bank sedimentology of a mixed load
river (Fig. 3c). An upward-fining sequence is characterized by a basal
gravel unit (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.5 mm) extending to a 10–30 cm thick silt/sand
layer (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03 mm) that is capped by a 10–50 cm thick
fine-grained soil-root complex (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02 mm). Conversely, the bank
of the middle Daheba River has characteristic deposits of a
bedload-dominated river, with non-cohesive gravels and a sparse grass cover
(Fig. 3d). Adjacent terraces that are more than 10 m high limit the capacity
for channel widening, while actively supplying gravels. Mobile gravel banks
influence the braided characteristics of the Daheba River. In summary, bank
strength of the four study reaches varies from high to low as follows: Maqu
reach, Lanmucuo River, Dari reach, and Daheba River.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Estimation of hydraulic coefficients and bedload transport rates.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">River</oasis:entry>  
         <oasis:entry colname="col2">Bankfull</oasis:entry>  
         <oasis:entry colname="col3">Bankfull</oasis:entry>  
         <oasis:entry colname="col4">Channel</oasis:entry>  
         <oasis:entry colname="col5">Median</oasis:entry>  
         <oasis:entry colname="col6">Manning</oasis:entry>  
         <oasis:entry colname="col7">Average</oasis:entry>  
         <oasis:entry colname="col8">Channel</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">reach</oasis:entry>  
         <oasis:entry colname="col2">channel</oasis:entry>  
         <oasis:entry colname="col3">water</oasis:entry>  
         <oasis:entry colname="col4">gradient</oasis:entry>  
         <oasis:entry colname="col5">grain</oasis:entry>  
         <oasis:entry colname="col6">coefficient</oasis:entry>  
         <oasis:entry colname="col7">velocity</oasis:entry>  
         <oasis:entry colname="col8">discharge</oasis:entry>  
         <oasis:entry colname="col9">(kg s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">width</oasis:entry>  
         <oasis:entry colname="col3">depth</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">size</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">(m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col8">(m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(m)</oasis:entry>  
         <oasis:entry colname="col3">(m)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">(m)</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Dari</oasis:entry>  
         <oasis:entry colname="col2">200</oasis:entry>  
         <oasis:entry colname="col3">2.0</oasis:entry>  
         <oasis:entry colname="col4">0.0012</oasis:entry>  
         <oasis:entry colname="col5">0.015</oasis:entry>  
         <oasis:entry colname="col6">0.05</oasis:entry>  
         <oasis:entry colname="col7">0.90</oasis:entry>  
         <oasis:entry colname="col8">269.67</oasis:entry>  
         <oasis:entry colname="col9">1.77</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Maqu</oasis:entry>  
         <oasis:entry colname="col2">400</oasis:entry>  
         <oasis:entry colname="col3">4.0</oasis:entry>  
         <oasis:entry colname="col4">0.0005</oasis:entry>  
         <oasis:entry colname="col5">0.015</oasis:entry>  
         <oasis:entry colname="col6">0.15</oasis:entry>  
         <oasis:entry colname="col7">0.37</oasis:entry>  
         <oasis:entry colname="col8">593.14</oasis:entry>  
         <oasis:entry colname="col9">2.75</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lanmucuo</oasis:entry>  
         <oasis:entry colname="col2">20</oasis:entry>  
         <oasis:entry colname="col3">0.8</oasis:entry>  
         <oasis:entry colname="col4">0.0015</oasis:entry>  
         <oasis:entry colname="col5">0.010</oasis:entry>  
         <oasis:entry colname="col6">0.03</oasis:entry>  
         <oasis:entry colname="col7">1.06</oasis:entry>  
         <oasis:entry colname="col8">16.91</oasis:entry>  
         <oasis:entry colname="col9">2.35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Daheba</oasis:entry>  
         <oasis:entry colname="col2">50</oasis:entry>  
         <oasis:entry colname="col3">1.5</oasis:entry>  
         <oasis:entry colname="col4">0.0018</oasis:entry>  
         <oasis:entry colname="col5">0.016</oasis:entry>  
         <oasis:entry colname="col6">0.05</oasis:entry>  
         <oasis:entry colname="col7">0.96</oasis:entry>  
         <oasis:entry colname="col8">71.75</oasis:entry>  
         <oasis:entry colname="col9">2.25</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4">
  <title>Estimation of bedload transport capacity</title>
      <p>Given the lack of observed data of bedload transport rate, bedload
transport capacity has been estimated for a rectangular cross section using
the theoretical bedload formulae outlined below. Channel flow follows the
laws of flow continuity, flow resistance, and sediment transport with flow
continuity law taking the form:

              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mi>V</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> are flow discharge (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), channel cross-sectional area
(m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>), and average flow velocity (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), respectively, <inline-formula><mml:math display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <italic>WH</italic>, <inline-formula><mml:math display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula> is channel
width (m), <inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is water depth (m).</p>
      <p>This study adopts the Manning formula to embody the law of flow resistance
for uniform alluvial channel flow:

              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:msup><mml:mi>R</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi>S</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is hydraulic radius (m), <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <italic>WH</italic>/(2<inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is flow energy slope, <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is
Manning's roughness coefficient. In this study, following Chow (1959), <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.050
if no vegetation in gravel-bed channels at high stages (i.e., Daheba
reach), <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.030 in floodplain with short grass (i.e., Lanmucuo River),
<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.050 in floodplain with scattered brush and heavy weeds (i.e., Dari
River), and <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.150 in floodplain with dense willows at flood stage
(i.e., Maqu reach).</p>
      <p>Among numerous bedload formulae, the Meyer-Peter and Müller equation has
been extensively and successfully applied (Meyer-Peter and Müller,
1948). The modification developed by Wong and Parker (2006) has been used in this study:

              <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo>=</mml:mo><mml:mn>3.97</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mo>-</mml:mo><mml:mn>0.0495</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Φ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Ψ</mml:mi></mml:math></inline-formula> are the dimensionless bedload transport rate per
unit channel width and the dimensionless flow shear stress, respectively,
that are defined as

              <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow><mml:msqrt><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced><mml:mi>g</mml:mi><mml:msubsup><mml:mi>d</mml:mi><mml:mn>50</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>R</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the dimensional bedload transport rate per unit channel
width (kg s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>s</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the density of sediments transported
(kg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is the density of water (kg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the
acceleration of gravity (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn>50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the median sediment size (mm).</p>
      <p>Cross section and water depth were measured based on field survey and remote
sensing images (see Table 2). Estimated hydraulic parameters and bedload
transport capacity for the four reaches, derived using Eqs. (1)–(5), are
summarized in Table 3. Note that channel width is effective bankfull width
in the flood season, not valley width. The adopted mean grain size is lower
than bed sediment size. Results shown here are considered to be
approximations, and are analyzed solely in relational rather than absolute
terms. Results show that the bedload transport capacity of the four reaches
from high to low is as follows: Maqu, Lanmucuo, Daheba and Dari reaches.</p>
</sec>
<sec id="Ch1.S5">
  <title>Effect of vegetation and bedload capacity on channel stability</title>
<sec id="Ch1.S5.SS1">
  <title>Dari reach (braided–anabranching river with grass and shrub cover)</title>
      <p>The Dari reach is a wide semi-braided and semi-anabranching channel, where the
channel width is up to 1600 m (Fig. 2 – R1a). Some large stable gravel bars or
islands have a dense grass and sparse shrub cover. Many unstable bars with
low vegetation cover are subjected to recurring erosion and channel
adjustment. Vegetation may inhibit erosion and enhance bar stability at
middle flood stage, but the resistance effect of vegetation at high flood
stage is very limited. As a result, the whole channel may be eroded at high
flow stage, resulting in disordered patterns of mid-channel gravel bars. The
estimated bedload transport capacity per unit channel width is 1.77 kg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for 2.0 m water depth (see Table 2). If the water depth increases to 3.0 m
in the flood season, bedload transport capacity per unit width significantly
increases up to 14.93 kg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. It is likely that these flow depths cause
intense erosion that divides the stable bars into many unstable bars.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Monthly stage–discharge relationships for Jimai hydrological
station in the Dari reach <bold>(a)</bold> 1968 <bold>(b)</bold> 1984 (note: number refers to month, e.g.,
1 for January and 12 for December).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f04.png"/>

        </fig>

      <p>Figure 4a and b show monthly stage–discharge relationships for 1968 and 1984,
respectively. Since the Dari reach is a multi-thread channel system, the
stage–discharge relationship is not a single function relationship. In
non-flood months (December, January, February, March, and April) the river
bed is frozen. May and November are pivotal times in the stage–discharge
relationship (the former reflects ice melt, the latter freezing). In flood
months (June, July, August, and September) the stage–discharge relationship
adjusts due to strongly erosion and deposition within the channel. The
stage–discharge data (June, July, August, and September) in the 1968 and
1984 are to run non-linear regression (power function, <inline-formula><mml:math display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mtext>b</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> is water
stage (m), <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is discharge (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is the coefficient, and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> is the
exponent). Two coefficients of <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>) in 1968 are 4.7 (0.09), 4.8 (0.09),
5.4 (0.07), and 4.5 (0.10) for June, July, August, and September,
respectively; and accordingly, 2.9 (0.12), 2.8 (0.13), 3.0 (0.12), and
3.5 (0.09) in 1984. The results of the regression show that <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> obviously
decreased and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> was almost unchanged, indicating the increase of water depth
slowed down with the incoming discharge increasing from 1968 to 1984 because
the sediment deposition leaded to the wider channel year by year.</p>
      <p>For instance, different discharges for the same flow stage in June and July 1968
are considered to reflect erosion of the channel (Fig. 4a). In the
other instance shown here, the maximum discharge in 1984 occurred in July
(Fig. 4b), probably marking the transition from erosion to deposition
phases. The geomorphological significance of the two different trends is
shown in Fig. 4a and b (i.e., the trend formed by the data in March
and April against the trend formed). Also, there is a difference between the
high scatter trend for low discharges (probably low flood stages) and
regular trends for high discharges (probably high flood stages) because the
water submerged the bars in high discharge and the multi-thread channels
appears in low discharges. The Dari reach is defined in this study as
semi-braided and semi-anabranching since vegetation (grass and some shrubs)
partially develops on channel bars, and bars are relatively stable during
low and middle flood stages, whereas they are prone to change during high flood stages.</p>
      <p>Figure 5 shows the stage–discharge relationships of the Upper Yellow River at
the Dari from June to September in 1964–1984. Apparently, the stages of 1975 are
out of line with 1978, perhaps indicating that the elevation benchmark of
the station changed in 1976 or 1977. In the same month of different years,
the stage–discharge relationship does not have a simple corresponding
relation, especially in August and September. This may reflect (1) responses
of the channel bed to strong deposition in June and July, and thereafter the
high stage corresponds to low discharge such as August in 1978–1984 and
September in 1964–1975; (2) the channel bed strongly erodes in June and July,
and thereafter the high stage corresponds to high discharge such as August
in 1964–1975 and September in 1978–1984. Overall, Fig. 2 R1a and b
indicate that the channel of the Dari reach is quite unstable during the flood
season, with erosion and deposition changing the stage–discharge
relationship. A sketch showing how flow erosion divides bars and deposits to
form new bars is shown in Fig. 6. The stage–discharge data in July from
1964–1984 are to run power function regression (<inline-formula><mml:math display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>Q</mml:mi><mml:mtext>b</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>). Two coefficients
of <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>) are 5.3 (0.08) in 1964, 4.7 (0.10) in 1965, 5.4 (0.07) in 1966, 4.8 (0.09)
in 1968, 5.2 (0.07) in 1969, 5.3 (0.07) in 1970, 5.3 (0.06) in 1973, 4.6 (0.10)
in 1975, 2.9 (0.11) in 1978, 2.7 (0.13) in 1979, 2.7 (0.13) in 1980, 2.4 (0.15)
in 1981, and 2.8 (0.13) in 1984. Obviously, this difference of <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>) is
represented by the two different trends of the data before and after 1976,
i.e., <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> decreased and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> increased.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Annual stage–discharge relationship (1964–1984) of the Dari reach in
Jimai hydrological station.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Sketch of channel bed deposition and erosion in flood season in the Dari reach.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <title>Maqu reach (anabranching river with tree cover)</title>
      <p>The Maqu reach in the wide Ruoergai basin is covered by a dense tress (<italic>Salix atopantha</italic>) and has a
stable anabranching channel planform (Fig. 2 R2a). It is postulated that a
herb and shrub cover gradually supports the stabilization of new bars,
facilitating sediment deposition on the body of the bar during low and
middle flood stages, and protects the bar from erosion at high flood
stages. Subsequent development of trees presents a tall green barrier in the
flood period. Although the water floods trees, their density induces
sufficient resistance to decrease the flow velocity and trap fine sand and
gravel on the body of the bar. Therefore, this anabranching channel system
is basically stable over a decadal timescale.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Monthly stage change of the Maqu hydrological station (1959–1970).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f07.png"/>

        </fig>

      <p>Water stage change at the Maqu station from 1959 to 1970 is shown in Fig. 7. The
stage peak occurs in July and September. The maximum difference of 2.43 m
occurred between June and September in 1963. If the water depth increases to
8.0 m from 4.0 m, bedload transport capacity increases to 18.52 kg s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from
2.75 kg s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. As a result, the branching channel bed may erode if the
transport capacity exceeds upstream sediment supply. However, protection by
trees is strong enough to inhibit erosion of bars. On the contrary, if the
upstream sediment supply surpasses the transport capacity, increasing bed
deposition with flow stage further increases the transport capacity of the
reach. This agrees with analyses by Huang and Nanson (2007), who stated that
anabranching channels can achieve the optimal transport efficiency without
increasing bed gradient. Even though these reaches may appear to promote
deposition on the channel bed during extreme floods (see Fig. 8), the flow
erodes the bed later in the flood season, thereby maintaining an equilibrium
cross section. As a result, the anabranching channel of the Maqu reach maintains
a long-term stable situation.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <title>Lanmucuo River (passive meandering river with meadow cover)</title>
      <p>The Lanmucuo River is a typical meandering river covered by dense meadow.
Although typically characterized by large bends in a flat valley,
mid-channel gravel bar covered by herbs sometimes form at the apex of bends
(Fig. 2 R3a). The meandering channel and bars are very stable because of
low sediment supply in the flood season and good vegetation coverage. The
tight root-soil complex on concave banks inhibits flow scour. When
cantilevered bank failures do occur, slump blocks restrict further erosion
of the bank. Grass develops on the point bars of convex banks. When the
overbank flow submerges the point bar, the herbaceous vegetation can
increase flow resistance and promote fine sand deposition (Fig. 9), thereby
maintaining channel geometry with a relatively low migration rate. Growth of
herbs on mid-channel bars (Fig. 2 R3a) helps to increase the flow
resistance and trap fine sediment, facilitating channel stability.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Sketch of branching channel deposition and stage increasing in flood
season in the Maqu reach.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Sketch of submerged bend apex with a mid-channel bar in the Lanmucuo River.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS4">
  <title>Daheba River (unvegetated braided river)</title>
      <p>The gravel bed of the Daheba River is characterized by deposition in the flood
season and erosion in the non-flood season. This makes it difficult for
vegetation to develop on bars and banks of the braided channels. Figure 10
shows morphological changes of the riverbed before and after the flood
season in 2005. The main branching and sub-branching channels of the channel
completely changed, with an initial phase of sediment deposition followed by
flood-induced division of bars and the re-emergence of a multi-thread
braided system. Table 3 shows derived estimates of the bedload transport
capacity per width, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.25 kg s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. This capacity is seemingly unable
to efficiently transport the excess sediment supply from upstream. As a
result, serious deposition occurs along the Daheba River in the flood season.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Braided channel evolution of the middle Daheba River in 2005
<bold>(a)</bold> in non-flood season, <bold>(b)</bold> in flood season.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f10.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Elevation change of cross section in Shangcun hydrological station (2009–2011)
(left for left bank, right for right bank).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/3013/2016/hess-20-3013-2016-f11.png"/>

        </fig>

      <p>Adjustments to channel geometry as a result of erosion and deposition
processes before, during, and after the flood season are shown in Fig. 11.
The elevation of the riverbed on 29 July 2009 was 0.27 m higher than on
1 April 2009. Other than a slight erosion of the left bank, the subsequent
phase was depositional, with up to 1.59 m of aggradation occurring by
23 October 2009. The elevation of the riverbed was increased by 0.27 m after the
flood season in 2010. The elevation of the riverbed in 1 July 2011 was 0.26 m
higher than on 29 April 2011. Trivial deposition occurred from 1 to 8 July,
but 0.24 m of erosion occurred by 23 July, with subsequent
deposition of 0.27 m by 23 October. As a result, the riverbed elevation was
0.24 m higher after flood season in 2011, but multiple phases of deposition
and erosion has occurred. The deposition–erosion–deposition phases may
reflect lower bedload transport capacity relative to sediment supply in the
early flood season, but widespread deposition increases the local bed slope,
thereby increasing bedload transport capacity. According to Eq. (3), a
10 % increase in bed slope increases the transport capacity by 85 % in
Daheba reach, so bed erosion occurs again. Bed erosion decreases the bed
slope until the transport capacity has adjusted to reduced sediment supply,
thereby inducing riverbed deposition once more. Consequently, alterative
deposition and erosion leads to the extreme instability in the middle and
lower Daheba River.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Discussion and conclusions</title>
      <p>This study has outlined the complex interplay between flow and sediment
supply in the flood season, and the geomorphic/hydrodynamic role of
vegetation cover on the valley floor, as determinants of channel
morphodynamics/stability and bedload transport capacity for four alluvial
reaches of the Yellow River source zone. Although the elevation of four
reaches is different (Dari is 3960 m, Maqu is 3465 m, Lanmucuo
River is 3604 m, and Daheba is 2832 m), the precipitation, temperature, and bed
sediment size are basically similar (Yu et al., 2014). Nevertheless,
vegetation coverage in the four reaches is quite different. The Dari reach
(anabranching–braided) has a herb and shrub cover, the Maqu (anabranching) reach
has trees, the Lanmucuo River (meandering) has meadow, and the Daheba River
(braided) has no vegetation cover. As shown elsewhere, bar morphodynamics
vary markedly for differing planform types, with key differences outlined
here for braided, anabranching, and meandering channels (cf., Hooke, 1986;
Kleinhans, 2010; Kleinhans and van den Berg, 2010; Church and Ferguson,
2015). Bar development and stability reflect the ability of vegetation to
trap sediments and stabilize banks, which in turn is directly influenced by
flow energy relationships (i.e., these are mutual adjustments; Corenblit et
al., 2007; Gurnell et al., 2012; Gurnell, 2014; Osterkamp and Hupp, 2010;
Pietsch and Nanson, 2011). In this study, riparian vegetation and its root
network are considered to restrict channel width and increase hydraulic
efficiency, inducing greater bedload transport capacity in multi-thread
channels (Allmendinger et al., 2005; Huang and Nanson, 2007). Islands and
floodplains are able to trap more fine-grained sediment in the flood season,
enhancing the longer-term (decadal) stability of anabranching channels, as
shown by the stable islands of the Maqu reach.</p>
      <p>Relative to the passive (resisting) role of vegetation, bedload transport
actively affects short-term patterns and rates of bed erosion and
deposition. This, in turn, is affected by relationships between the flow
regime (especially flood events and formative flows) and the influence of
sediment supply upon bedload transport for differing river types (Church and
Ferguson, 2015; Dunne et al., 2010). The supply of bed material sediment to
an alluvial channel accelerates the growth of longitudinal, transverse, and
point bars, thereby enhancing thalweg development and locally increasing
flow velocity. Non-equilibrium between sediment supply and transport induces
local channel instability, accentuating either bed erosion or deposition
(Jansen and Nanson, 2010; Nanson and Huang, 2008). In this study, a channel
stability gradient accords with both sediment movement and vegetation cover,
wherein bedload transport capacity (a function of bed slope, hydraulic
geometry, and sediment particle size) is related to the influence of
riparian vegetation upon channel geometry/planform. We contend that the
differing vegetation cover and planform response reflect the delicate
balance between erosion and deposition on the channel bed and bank as
influenced by bedload sediment supply in the flood season. Only when the
bedload transport capacity is equivalent or greater than sediment supply
does vegetation act as a key determinant of channel stability.</p>
</sec>

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

      <p>Zhi Wei Li and Guo An Yu designed and conducted
the field investigations. Gary Brierley and Zhao Yin Wang supervised the research
and helped to contextualize the findings. Zhi Wei Li prepared the manuscript
with contributions from all co-authors.</p>
  </notes><ack><title>Acknowledgements</title><p>This study is funded by the CRSRI Open Research Program (program CKWV2016369/KY),
Alexander von Humboldt Foundation, the Natural Science Foundation of China
(NSFC, 41571009; 41330751; 91547112; 91547113), and the Key Laboratory of Water Sediment Sciences and Water
Disaster Prevention of Hunan Province (2016SS04). X. Z. Wang, C. D. Zhang, and
X. D. Zhou are acknowledged for field assistance (2011–2014). We deeply
appreciate the constructive comments and suggestions from two reviewers
(Peng Gao and M. Coenders-Gerrits). <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: G. Blöschl <?xmltex \hack{\newline}?>
Reviewed by: P. Gao and M. Coenders-Gerrits</p></ack><ref-list>
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    <!--<article-title-html>Vegetative impacts upon bedload transport capacity  and channel stability for differing alluvial planforms  in the Yellow River source zone</article-title-html>
<abstract-html><p class="p">The influence of vegetation upon bedload transport and channel
morphodynamics is examined along a channel stability gradient ranging from
meandering to anabranching to anabranching–braided to fully
braided planform conditions along trunk and tributary reaches of the Upper
Yellow River in western China. Although the regional geology and climate are
relatively consistent across the study area, there is a distinct gradient in
the presence and abundance of riparian vegetation for these reaches atop the
Qinghai–Tibet Plateau (elevations in the study area range from 2800 to 3400 m a.s.l.).
To date, the influence of vegetative impacts upon channel planform
and bedload transport capacity of alluvial reaches of the Upper Yellow River
remains unclear because of a lack of hydrological and field data. In this
region, the types and pattern of riparian vegetation vary with planform type
as follows: trees exert the strongest influence in the anabranching reach,
the meandering reach flows through meadow vegetation, the
anabranching–braided reach has a grass, herb, and sparse shrub cover, and
the braided reach has no riparian vegetation. A non-linear relation between
vegetative cover on the valley floor and bedload transport capacity is
evident, wherein bedload transport capacity is the highest for the anabranching
reach, roughly followed by the anabranching–braided, braided, and meandering
reaches. The relationship between the bedload transport
capacity of a reach and sediment supply from upstream exerts a significant
influence upon channel stability. Bedload transport capacity during the
flood season (June–September) in the braided reach is much less than the
rate of sediment supply, inducing bed aggradation and dynamic channel
adjustments. Rates of channel adjustment are less pronounced for the
anabranching–braided and anabranching reaches, while the meandering reach is
relatively stable (i.e., this is a passive meandering reach).</p></abstract-html>
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