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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2023.1259081</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Distinctive sedimentary processes on two contrasting tidal flats of the Yellow River Delta</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Xie</surname><given-names>Weiming</given-names>
</name>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname><given-names>Jianwei</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>*</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Guo</surname><given-names>Leicheng</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Xu</surname><given-names>Fan</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname><given-names>Xianye</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>*</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Ji</surname><given-names>Hongyu</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Fan</surname><given-names>Yaoshen</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname><given-names>Zheng Bing</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>He</surname><given-names>Qing</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>State Key Laboratory of Estuarine and Coastal Research, East China Normal University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Faculty of Civil Engineering and Geosciences, Delft University of Technology</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country></aff>
<aff id="aff3"><sup>3</sup><institution>Yellow River Institute of Hydraulic Research, Yellow River Conservancy Commission</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country></aff>    <aff id="aff4"><sup>4</sup><institution>Deltares</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country></aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Shunqi Pan, Cardiff University, United Kingdom</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Boyuan Zhu, Changsha University of Science and Technology, China; Feng Liu, Sun Yat-sen University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jianwei Sun, <email xlink:href="mailto:J.Sun-5@tudelft.nl">J.Sun-5@tudelft.nl</email>; Xianye Wang, <email xlink:href="mailto:xywang@sklec.ecnu.edu.cn">xywang@sklec.ecnu.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1259081</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Xie, Sun, Guo, Xu, Wang, Ji, Fan, Wang and He</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Xie, Sun, Guo, Xu, Wang, Ji, Fan, Wang and He</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Coastal tidal flats provide valuable ecosystems, but are highly sensitive to tidal dynamics, sea-level rise, and human activities. Tidal inundation depth and frequency are known to affect tidal flat morphodynamics. However, the causes, processes and extent remain uncertain, particularly given the associated changes in sediment availability. In this study, we monitored the hydrodynamics, sediment transport, and morphological changes on two tidal flats in the northern and southern parts of the Yellow River Delta, with contrasting tidal regimes. The data showed that longer inundation periods under diurnal tides gained additional sediment and deposition than under semi-diurnal tides, because of the associated increase in water depth and sediment availability. The wave impact increased at the site with a semi-diurnal tidal regime owing to the lower water depth, where a larger bed shear stress led to tidal flat erosion. These results indicated that the combination of tidal regime and the occurrence of powerful waves played a joint role in controlling bed erosion, sediment availability, and short-term tidal flat evolution. This has implications for coping with delta erosion by enhancing local sediment availability in diurnal tidal regions and restoring vegetation to attenuate waves in semi-diurnal regions of the Yellow River Delta.</p>
</abstract>
<kwd-group>
<kwd>tidal flat</kwd>
<kwd>hydrodynamics</kwd>
<kwd>sediment dynamics</kwd>
<kwd>inundation period</kwd>
<kwd>Yellow River Delta</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="2"/>
<equation-count count="8"/>
<ref-count count="66"/>
<page-count count="13"/>
<word-count count="6526"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Coastal Ocean Processes</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Estuarine and coastal tidal flats host important ecosystems, such as habitats necessary for migrating birds (<xref ref-type="bibr" rid="B20">Kirwan and Megonigal, 2013</xref>; <xref ref-type="bibr" rid="B48">Temmerman et&#xa0;al., 2013</xref>). Currently, tidal flats are facing increasing pressure owing to changes in forcing conditions, sea-level rise, and human modifications. The decline in fluvial sediment supply plays a vital role in inducing river delta erosion and tidal flat retreat (<xref ref-type="bibr" rid="B45">Syvitski et&#xa0;al., 2009</xref>). Accelerating sea-level rise further exacerbates delta erosion and the loss of tidal flats (<xref ref-type="bibr" rid="B8">Bouma et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B17">IPCC, 2021</xref>). Human activities, such as the construction of coastal seawalls and dykes, change the regional hydrodynamics and sediment transport, exerting strong impacts on tidal flat evolution (<xref ref-type="bibr" rid="B49">van der Wal and Pye, 2004</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>; <xref ref-type="bibr" rid="B23">Liu et&#xa0;al., 2022</xref>). Understanding the sedimentary processes of tidal flats is essential from a coastal protection and management perspective. However, it remains challenging to determine short- to long-term tidal flat morphodynamics that involve the interaction of several factors, such as sediment supply, tidal conditions, currents, waves, vegetation, sea-level rise, and storms (<xref ref-type="bibr" rid="B1">Allen, 2000</xref>; <xref ref-type="bibr" rid="B13">Friedrichs, 2011</xref>; <xref ref-type="bibr" rid="B9">D&#x2019;Alpaos and Marani, 2016</xref>).</p>
<p>Tidal flat sedimentary processes and their controlling mechanisms vary in different estuarine environments. The fluvial sediment supply is a key factor in estuarine tidal flat evolution (<xref ref-type="bibr" rid="B63">Yang et&#xa0;al., 2011b</xref>; <xref ref-type="bibr" rid="B6">Blum and Roberts, 2012</xref>; <xref ref-type="bibr" rid="B65">Zhu et&#xa0;al., 2019</xref>). A time lag between changes in fluvial sediment supply and delta morphodynamic response was identified in the Changjiang Delta, which was ascribed to the delta&#x2019;s inherent morphodynamic buffering capacity (<xref ref-type="bibr" rid="B65">Zhu et&#xa0;al., 2019</xref>). The fluvial sediment supply also controls regional sediment availability, which directly influences medium-scale tidal flat evolution (<xref ref-type="bibr" rid="B24">Maan et&#xa0;al., 2019</xref>). Moreover, waves have a strong impact on tidal flat evolution by simulating erosion and developing a concave-up profile (<xref ref-type="bibr" rid="B53">van Rijn, 1993</xref>; <xref ref-type="bibr" rid="B15">Green and Coco, 2014</xref>; <xref ref-type="bibr" rid="B14">Gao et&#xa0;al., 2020</xref>). Wave-induced sediment resuspension, combined with sediment transport by currents, determines the sedimentary processes of tidal flats. Waves also control river channel orientation and delta aggradation through wave-induced bypassing of sediment flux (<xref ref-type="bibr" rid="B29">Nienhuis et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B14">Gao et&#xa0;al., 2020</xref>). Sea level rise has accelerated in the past century and is expected to enhance coastal erosion and the loss of estuarine tidal flats (<xref ref-type="bibr" rid="B50">van der Wegen, 2013</xref>; <xref ref-type="bibr" rid="B21">Leuven et&#xa0;al., 2019</xref>). It is projected that tidal flat accretion may not keep pace with the rise in sea level and is likely to be flooded (<xref ref-type="bibr" rid="B40">Spencer et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B24">Maan et&#xa0;al., 2019</xref>). In exceptional cases, tidal flats might survive a low rise in the sea level with sediment supply or import from coasts, for example, in the Dutch Wadden Sea (<xref ref-type="bibr" rid="B54">Wang et&#xa0;al., 2018</xref>). Furthermore, vegetation can attenuate wave energy and trap suspended sediment on tidal flats, although sediment trapping efficiency is a function of plant species, growth, and biomass (<xref ref-type="bibr" rid="B46">Temmerman et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B7">Bouma et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B22">Li and Yang, 2009</xref>). Extreme events such as storms, associated strong wave activities, and high bed shear stresses also play a vital role in tidal flat evolution, particularly in causing tidal flat erosion (<xref ref-type="bibr" rid="B28">Mariotti et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B58">Xie et&#xa0;al., 2017</xref>).</p>
<p>In addition to the dynamic variability in different deltas and estuaries, the sedimentary dynamics in different parts of the same river delta may also vary, owing to changes in the coastal landscape and distinctive sheltering. This regional variability can induce different hydro-morphodynamic behaviors. For instance, <xref ref-type="bibr" rid="B29">Nienhuis et&#xa0;al. (2016)</xref> observed that waves led to the asymmetric evolution of deltas such as Ombrone in Italy and Danube in Romania. Flow asymmetry and sediment composition are also considered dominant factors in the evolution of deltas (<xref ref-type="bibr" rid="B27">Mariotti and Fagherazzi, 2011</xref>; <xref ref-type="bibr" rid="B51">van Maren and Winterwerp, 2013</xref>). The difference in local sediment availability was found to have a strong impact on the asymmetry of the tidal flat evolution (<xref ref-type="bibr" rid="B41">Stammermann and Piasecki, 2012</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>). However, the way in which primary tidal forcing can induce asymmetric sedimentary dynamics within the same delta remains uncertain.</p>
<p>The Yellow River Delta faces the most severe risk among deltas worldwide (<xref ref-type="bibr" rid="B45">Syvitski et&#xa0;al., 2009</xref>). To determine representative sites for our study, we observe that the tidal regime around the Yellow River Delta in China exhibits large spatial variations. The northern part of the delta has a diurnal tidal regime, whereas the southern part is predominantly a mixed semidiurnal tide (<xref ref-type="bibr" rid="B19">Ji et&#xa0;al., 2020</xref>). The morphodynamic evolution of the northern and southern parts of the Yellow River Delta also exhibits different behaviors, rendering it an ideal location for the study of asymmetric tidal flat morphodynamics. The current understanding of how different tidal regimes affect sediment transport and erosion-deposition patterns is insufficient.</p>
<p>This study aimed at highlighting the profound hydro-morphodynamic effect of tidal condition on the contrasting tidal flat evolution, which shed lights on coastal protection and management. Therefore, we conducted field measurements of currents, waves, suspended sediment concentration, and bed level changes in two regions of the Yellow River Delta. The two main aims of the study were to determine (1) how differences in water motion and sediment transport influence sedimentary processes and (2) whether different types of tides are the determining factors in controlling asymmetric tidal flat evolution.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>The modern Yellow River Delta is a river-dominated system that started forming in 1855, at that time the Yellow River entered the Bohai Sea (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). In the past 170 years, a fan-shaped delta has taken shape owing to frequent channel avulsion. The current active Yellow River Delta lobe started to develop in 1976, when the previous active channel toward the north was abandoned (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2017</xref>). The river channel avulsed again in 1996, shifting north (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Locations of <bold>(A)</bold> the Yellow River Delta and <bold>(B)</bold> the two studied sites, <bold>(C)</bold> the elevation profile of the QSG site and <bold>(D)</bold> the elevation profile of the KDD site. The locations of the two measuring sites are also marked on the profiles.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g001.tif"/>
</fig>
<p>The Yellow River Delta is dominated by micro-tidal tides with a mean range of 0.73&#x2013;1.77 m (<xref ref-type="bibr" rid="B61">Yang et&#xa0;al., 2011a</xref>). Spatially, the northern part of the present delta lobe has a diurnal tidal regime, whereas the southern region has a mixed semi-diurnal tidal regime (<xref ref-type="bibr" rid="B19">Ji et&#xa0;al., 2020</xref>). Field observations were conducted on the northern Qingshuigou tidal flat (QSG) and southern Kendong-dyke tidal flat (KDD) (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). The elevation was approximately &#x2212;0.2 m above mean sea level for both (<xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1C, D</bold></xref>). The tidal flat profiles were convex-up at the QSG site and concave-up at the KDD site (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). The surface sediments were composed of silt and sand with median diameters of ~60 &#x3bc;m and ~66 &#x3bc;m at the QSG and KDD, respectively (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>). The two sites were submerged during high tides, with a maximum water depth of 0.9 m, but exposed during low tides. Both tidal flats were bare and without vegetation (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The composition of the surficial sediment and median diameter at <bold>(A)</bold> the QSG site and <bold>(B)</bold> the KDD site.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p><bold>(A)</bold> Field measuring tripod and the location of the ADV, OBS, and RBR, and <bold>(B)</bold> calibration of the optical backscatter signal with SSC data at the two sites.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g003.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Field measurements</title>
<p>Hydrodynamic measurements were performed from 10:00 on November 19 to 10:00 on November 23, 2019. The fluvial sediment flux from the Yellow River, monitored at the Lijin Hydrometric Station, was low during this period (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>). Thus, the direct influence of riverine sediment on tidal flat evolution in the study area may be negligible. Current velocity, suspended sediment concentration (SSC), wave activity, and bed-level changes were collected, using two tripod systems mounted on the bed of the two sites (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>). Both tripods were equipped with an acoustic doppler velocimeter (ADV) (Nortek AS, Norway), an optical backscattering sensor (OBS) (Campbell Scientific., USA), and a tide and wave logger (RBR) (RBR Limited, Canada). The ADVs, OBSs, and RBRs were placed 30 cm, 10 cm, and 10 cm above the bed surface, respectively. The ADVs were set up in 64 Hz mode, with a burst interval of 5 min recorded both the near-bed 3D velocity and bed-level change (<xref ref-type="bibr" rid="B2">Andersen et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B66">Zhu et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B56">Xie et&#xa0;al., 2018a</xref>). RBRs were deployed to measure the wave activity and water depth. The optical backscatter signal of the OBSs was used to estimate the SSC, with sampling every 5 min. The calibration of the optical backscatter signal into the SSC is shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p><bold>(A)</bold> Monthly average sediment load into the Yellow River Delta from 1976 to 2018 and in 2019, and time series of significant wave heights and water depths during the study period at <bold>(B)</bold> the QSG site and <bold>(C)</bold> the KDD site.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g004.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Calculation of bed shear stress on tidal flats</title>
<p>Field estimations of the current-induced and wave-induced bed shear stresses are made using ADV and RBR. These estimates are useful for understanding sediment dynamics and sedimentary processes <italic>in situ</italic> using tidal currents and waves.</p>
<p>The measured current velocities (<italic>u, v, w</italic>) can be decomposed into terms of the mean (<italic>U, V, W</italic>) and fluctuating components (<italic>u&#x2019;, v&#x2019;, w&#x2019;</italic>). Several studies have estimated the bed shear stress from the second components, including the prevalent turbulent kinetic energy (TKE) method, where the TKE (J/m<sup>3</sup>) is estimated from the fluctuating components:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>u</mml:mi>
<mml:mrow><mml:mo>&#x2032;</mml:mo><mml:mi>2</mml:mi></mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>v</mml:mi>
<mml:mrow><mml:mo>&#x2032;</mml:mo><mml:mn>2</mml:mn></mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>w</mml:mi>
<mml:mrow><mml:mo>&#x2032;</mml:mo><mml:mn>2</mml:mn></mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the water density at 20&#xb0;C (<italic>&#x3c1;</italic> = 1030 kg/m<sup>3</sup> in this study) (<xref ref-type="bibr" rid="B2">Andersen et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>),</p>
<p>The current-induced bed shear stress (&#x3c4;<sub>c,</sub> N/m<sup>2</sup>) is estimated using:</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>and <italic>C</italic> is a constant (<italic>C</italic> = 0.19) (<xref ref-type="bibr" rid="B42">Stapleton and Huntley, 1995</xref>; <xref ref-type="bibr" rid="B33">Pope et&#xa0;al., 2006</xref>).</p>
<p>Furthermore, the peak wave orbital velocity (<inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>U</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mtext>&#x3b4;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) m/s) is related to the wave-induced bed shear stress (&#x3c4;<sub>w,</sub> N/m<sup>2</sup>) by the wave friction coefficient <italic>f<sub>w</sub>
</italic> (<xref ref-type="bibr" rid="B53">van Rijn, 1993</xref>):</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>4</mml:mn>
</mml:mfrac>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>U</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where the peak wave orbital velocity ( <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>U</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mtext>&#x3b4;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and peak orbital excursion (<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mtext>&#x3b4;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)can be calculated using linear wave theory (<xref ref-type="bibr" rid="B43">Stokes, 1847</xref>):</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>U</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>&#x3c9;</mml:mtext>
<mml:msub>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>H</italic> is the wave height (m), <italic>T</italic> is the wave period (s), <italic>h</italic> is the water depth (m), <italic>L</italic> is the wavelength (m) (<italic>L = (gT<sup>2</sup>/2&#x3c0;)tanh(kh)</italic>), <italic>k</italic> is the wave number (<italic>k = 2&#x3c0;/L</italic>), <italic>&#x3c9;</italic> is the angular velocity (rad/s), and <italic>g</italic> is the gravitational acceleration (<italic>g</italic> = 9.8 m/s<sup>2</sup>).</p>
<p>The wave friction coefficient (<italic>f<sub>w</sub>
</italic>) is determined by the hydraulic regime (<xref ref-type="bibr" rid="B38">Soulsby, 1997</xref>):</p>
<disp-formula>
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="center">
<mml:mtd>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>R</mml:mi>
<mml:msup>
<mml:mrow><mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mn>0.5</mml:mn></mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>5</mml:mn>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="center">
<mml:mtd>
<mml:mrow>
<mml:mn>0.0521</mml:mn>
<mml:mi>R</mml:mi>
<mml:msup>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mn>0.187</mml:mn></mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&gt;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>5</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="center">
<mml:mtd>
<mml:mrow>
<mml:mn>0.237</mml:mn>
<mml:msup>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.52</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>is the wave Reynolds number ( <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>U</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
<mml:msub>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mi>&#x3bd;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>), <italic>r</italic> is the relative roughness ( <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mi>&#x3b4;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>), <italic>k<sub>s</sub>
</italic> is the Nikuradse roughness (<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mn>50</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), <italic>d<sub>50</sub>
</italic> is the median diameter of the surficial sediment, and &#x3bd; is the kinematic viscosity of water (&#x3bd; = 1.5&#xd7;10<sup>&#x2212;6</sup> m<sup>2</sup>/s).</p>
<p>Then, the combined wave-current bed shear stress (&#x3c4;<sub>cw,</sub> N/m<sup>2</sup>) can be estimated using the following hydrodynamic formulation (<xref ref-type="bibr" rid="B38">Soulsby, 1997</xref>):</p>
<disp-formula>
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>1.2</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>3.2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c4;</mml:mtext>
<mml:mtext>c</mml:mtext>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the current-generated bed shear stress, and <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c4;</mml:mtext>
<mml:mtext>w</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the wave-induced bed shear stress.</p>
<p>The root-mean-square value <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c4;</mml:mtext>
<mml:mrow>
<mml:mtext>rms</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>is a good average measure of the bed shear stress, particularly useful in random waves. So <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c4;</mml:mtext>
<mml:mrow>
<mml:mtext>rms</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>is used here to describe the bed shear stress and it can be estimated using the following hydrodynamic formulation (<xref ref-type="bibr" rid="B39">Soulsby and Clarke, 2005</xref>):</p>
<disp-formula>
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
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<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mn>2</mml:mn>
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<mml:mfrac>
<mml:mn>1</mml:mn>
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</disp-formula>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Difference in the hydrodynamics</title>
<p>The Yellow River Delta is in a micro-tidal environment, and the tidal range was less than 1.0 m at both the QSG and KDD sites (<xref ref-type="fig" rid="f4"><bold>Figures&#xa0;4B and C</bold></xref>). The inundation period at the QSG site was much longer than that at the KDD site. The QSG tidal flat was always submerged during the tidal cycle, whereas the KDD tidal flat was submerged for less than 7 h per day (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5A</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6A</bold></xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>At the QSG site, time series of <bold>(A)</bold> tidal elevation and SSC, <bold>(B)</bold> current velocities at eastern and northern directions, <bold>(C)</bold> bed shear stress due to current (&#x3c4;<sub>c</sub>), wave (&#x3c4;<sub>w</sub>) and the combined current-wave action (&#x3c4;<sub>cw</sub>), <bold>(D)</bold> sediment fluxes at eastern and northern directions, and <bold>(E)</bold> bed-level change.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>At the KDD site, time series of <bold>(A)</bold> tidal elevation and SSC, <bold>(B)</bold> current velocities at eastern and northern directions, <bold>(C)</bold> bed shear stress due to current (&#x3c4;<sub>c</sub>), wave (&#x3c4;<sub>w</sub>) and the combined current-wave action (&#x3c4;<sub>cw</sub>), <bold>(D)</bold> sediment fluxes at eastern and northern directions, and <bold>(E)</bold> bed-level change.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g006.tif"/>
</fig>
<p>Wave activities at the KDD site were stronger than those at the QSG site during the observation period (<xref ref-type="fig" rid="f4"><bold>Figures&#xa0;4B, C</bold></xref>). The averaged significant wave height was 0.10 m at KDD while it was only 0.03 m at QSG. At the KDD site, the wave heights were higher when the tidal flats were submerged; however, this was not the case at the QSG site (<xref ref-type="fig" rid="f4"><bold>Figures&#xa0;4B, C</bold></xref>). These differences were ascribed to different coastal landscapes: the QSG site was located in a sheltered bay, whereas the KDD site was open to the sea (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>).</p>
<p>The ADV data indicated that the velocity in the vertical direction was always negligible compared to that in the horizontal direction. Therefore, we assumed that the current was two-dimensional. The current on the tidal flat was more complex than that of a simple bidirectional flow. For simplicity, the velocity was projected along two directions: the eastern direction (positive for the east) and northern direction (positive for the north). At the QSG site, which is parallel with the coast, the velocity component along the eastern direction was relatively small (&lt; 0.05 m/s) (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5B</bold></xref>). During the flood period, the direction of the current was between 170&#xb0;N and 210&#xb0;N. During the ebb, it was between 330&#xb0;N and 10&#xb0;N. At the KDD site, the current direction during the flood and ebb periods was between 310&#xb0;N and 10&#xb0;N, and 100&#xb0;N and 150&#xb0;N, respectively (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>). The current direction was symmetric with respect to the highest water level at the KDD site (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>), whereas it showed no clear correlation with the tidal oscillation at the QSG site (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5B</bold></xref>).</p>
<p>For each tidal cycle, the current velocity, at both the QSG and KDD sites, was higher during the flood than during the ebb (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). The average velocity at the QSG site was higher than at the KDD site. At the QSG site, the average velocity was 0.09 m/s for the tidal cycle. The velocity varied between 0.07 m/s and 0.16 m/s during the flood period, and between 0.08 m/s and 0.10 m/s during the ebb period. The maximum flood velocity occurred when the water depth was ~0.30 m, and the maximum ebb velocity occurred at a higher elevation of ~0.40 m (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5B</bold></xref>). The velocity decreased to zero in the slack water. At the KDD site, the velocity was relatively low (&lt;0.07 m/s) for most of the tidal period. During the flood, the velocity ranged from 0.03&#x2013;0.07 m/s. During the ebb, it was between 0.02 m/s and 0.03 m/s. The maximum flood velocity appeared at the beginning of the tidal cycle and then decreased to zero during high slack water (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>). The maximum ebb velocity was reached when the water depth was less than 0.20 m (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Results of the analysis of current velocity (m/s), bed shear stress (N/m<sup>2</sup>), and suspended sediment concentration (SSC) (g/L) at the QSG and the KDD sites.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Tides</th>
<th valign="middle" rowspan="2" align="center">Flood/Ebb</th>
<th valign="middle" colspan="2" align="center">Current velocityAvg &#xb1; Std (m/s)</th>
<th valign="middle" colspan="2" align="center">Bed shear stressAvg &#xb1; Std (N/m<sup>2</sup>)</th>
<th valign="middle" colspan="2" align="center">SSCAvg &#xb1; Std (g/L)</th>
</tr>
<tr>
<th valign="middle" align="center">QSG</th>
<th valign="middle" align="center">KDD</th>
<th valign="middle" align="center">QSG</th>
<th valign="middle" align="center">KDD</th>
<th valign="middle" align="center">QSG</th>
<th valign="middle" align="center">KDD</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="2" align="center">1</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">0.11 &#xb1; 0.04</td>
<td valign="middle" align="center">0.03 &#xb1; 0.01</td>
<td valign="middle" align="center">0.48 &#xb1; 0.03</td>
<td valign="middle" align="center">0.19 &#xb1; 0.06</td>
<td valign="middle" align="center">0.34 &#xb1; 0.08</td>
<td valign="middle" align="center">0.16 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">0.08 &#xb1; 0.02</td>
<td valign="middle" align="center">0.02 &#xb1; 0.01</td>
<td valign="middle" align="center">0.44 &#xb1; 0.05</td>
<td valign="middle" align="center">0.19 &#xb1; 0.03</td>
<td valign="middle" align="center">0.37 &#xb1; 0.09</td>
<td valign="middle" align="center">0.15 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="center">2</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">0.08 &#xb1; 0.04</td>
<td valign="middle" align="center">0.04 &#xb1; 0.02</td>
<td valign="middle" align="center">0.27 &#xb1; 0.16</td>
<td valign="middle" align="center">0.54 &#xb1; 0.14</td>
<td valign="middle" align="center">0.29 &#xb1; 0.13</td>
<td valign="middle" align="center">0.50 &#xb1; 0.14</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">0.06 &#xb1; 0.03</td>
<td valign="middle" align="center">0.03 &#xb1; 0.02</td>
<td valign="middle" align="center">0.22 &#xb1; 0.16</td>
<td valign="middle" align="center">0.30 &#xb1; 0.09</td>
<td valign="middle" align="center">0.21 &#xb1; 0.03</td>
<td valign="middle" align="center">0.39 &#xb1; 0.14</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="center">3</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">0.07 &#xb1; 0.04</td>
<td valign="middle" align="center">0.02 &#xb1; 0.01</td>
<td valign="middle" align="center">0.24 &#xb1; 0.11</td>
<td valign="middle" align="center">0.44 &#xb1; 0.15</td>
<td valign="middle" align="center">0.12 &#xb1; 0.03</td>
<td valign="middle" align="center">0.17 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">0.06 &#xb1; 0.04</td>
<td valign="middle" align="center">0.02 &#xb1; 0.01</td>
<td valign="middle" align="center">0.12 &#xb1; 0.06</td>
<td valign="middle" align="center">0.57 &#xb1; 0.11</td>
<td valign="middle" align="center">0.17 &#xb1; 0.07</td>
<td valign="middle" align="center">0.20 &#xb1; 0.03</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="center">4</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">0.05 &#xb1; 0.02</td>
<td valign="middle" align="center">0.03 &#xb1; 0.01</td>
<td valign="middle" align="center">0.20 &#xb1; 0.13</td>
<td valign="middle" align="center">0.60 &#xb1; 0.24</td>
<td valign="middle" align="center">0.08 &#xb1; 0.01</td>
<td valign="middle" align="center">0.14 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">0.05 &#xb1; 0.03</td>
<td valign="middle" align="center">0.02 &#xb1; 0.01</td>
<td valign="middle" align="center">0.16 &#xb1; 0.08</td>
<td valign="middle" align="center">0.57 &#xb1; 0.03</td>
<td valign="middle" align="center">0.11 &#xb1; 0.05</td>
<td valign="middle" align="center">0.22 &#xb1; 0.04</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>There was strong fluctuation in the water level and velocity at the QSG site, indicating the currents flowed forward and back frequently at a short timescale (hours). By contrast, the currents were bidirectional flows at the KDD site.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Asymmetry in bed shear stress and sediment dynamics</title>
<p>The bed shear stress was calculated under the combined effect of waves (&#x3c4;<sub>c</sub>) and currents (&#x3c4;<sub>w</sub>) for both sites (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5C</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6C</bold></xref>). On average, the bed shear stress (&#x3c4;<sub>rms</sub>) at the QSG site (0.27 N/m<sup>2</sup>) was much smaller than that at the KDD site (0.43 N/m<sup>2</sup>) (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). The wave-induced bed shear stress (&#x3c4;<sub>w</sub>) had a stronger influence on the KDD site than the sheltered QSG site. At the QSG site, the &#x3c4;<sub>c</sub> ranged from 0.01&#x2013;0.61 N/m<sup>2</sup> with an average value of 0.10 N/m<sup>2</sup> and &#x3c4;<sub>w</sub> ranged from 0.03&#x2013;0.85 N/m<sup>2</sup> with an average value of 0.20 N/m<sup>2</sup>. The &#x3c4;<sub>rms</sub> showed weak correlation with tidal oscillations. At the KDD site, the average &#x3c4;<sub>w</sub> was high, reaching 0.64 N/m<sup>2</sup>. The &#x3c4;<sub>c</sub> ranged from 0.01&#x2013;0.30 N/m<sup>2</sup>, with an average value of 0.07 N/m<sup>2</sup>. In general, the &#x3c4;<sub>rms</sub> of the KDD site was higher during the flood period than during the ebb period. Peak &#x3c4;<sub>rms</sub> occurred at the beginning of the flood as well as when the ebb water depth was less than 0.20 m, which showed a clear correlation with the current velocity (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6C</bold></xref>).</p>
<p>The SSC at QSG was almost the same as that at KDD. The SSC ranged from 0.05&#x2013;0.53 g/L with an average value of 0.21 g/L at the QSG (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5A</bold></xref>), and at the KDD it was from 0.13&#x2013;0.63 g/L with an average value of 0.24 g/L (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5B</bold></xref>). However, for each tidal cycle, the SSC trend differed remarkably between the two sites. At the QSG site, the SSC was higher than 0.20 g/L for most of the study period. The peak SSCs were in phase with high water levels (&gt;0.30 m) (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5A</bold></xref>). During Tide 3 and Tide 4, high SSC values occurred at the beginning of the flood periods. The mean SSC during the flood and the ebb tides were 0.21 g/L and 0.22 g/L, respectively (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). At the KDD site, the SSC was also always higher than 0.20 g/L, but inundation was much shorter than that of the QSG site (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6A</bold></xref>). The mean SSC during the flood period and the ebb period were both 0.24 g/L (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). The SSC had two peaks within a tidal cycle: before the high slack water in the flood, and near the end of the ebb. The peak SSC corresponded to high velocities, possibly owing to local erosion and sediment resuspension.</p>
<p>At the QSG site, the SSC showed no clear correlation with the bed shear stress (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7A</bold></xref>). The high SSC appeared at the&#xa0;beginning of flood periods or during high slack water when the bed shear stress was relatively low. The SSC at the KDD site followed the same trend as the bed shear stress (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>). The peak SSC clearly corresponded to high bed shear stress but with a short delay in time due to the horizontal advection.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Scatterplots relating bed shear stress to SSC during Tide 1 and Tide 3 at <bold>(A)</bold> the QSG site, and <bold>(B)</bold> the KDD site.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g007.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Different sediment flux and morphological change</title>
<p>The sediment flux was calculated multiplying the velocity by the water depth and the SSC. As the velocity was projected along the eastern and northern directions, the sediment flux was also computed in these two directions (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5D</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6D</bold></xref>). The sediment flux at the QSG site was greater than at of the KDD site.</p>
<p>At the QSG site, the sediment flux in the eastern direction was smaller than that in the northern direction (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5D</bold></xref>). During floods, the tidal mean sediment flux was westward in the range of 0.54&#x2013;9.00 kg/m with an average value of 3.44 kg/m, and the sediment flux in the other direction was southward and greater, with an average value of 106.58 kg/m. During ebbs, the eastern sediment flux was &#x2212;0.97 kg/m on average, and the northern sediment flux was 36.13 kg/m (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Statistics of the sediment flux during the flood and ebb periods, net sediment flux within a tidal cycle, average sediment flux per tidal cycle, at the QSG and KDD sites.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Tides</th>
<th valign="middle" rowspan="2" align="center">Flood/Ebb</th>
<th valign="middle" colspan="2" align="center">QSG sediment flux (kg/m)</th>
<th valign="middle" colspan="2" align="center">KDD sediment flux (kg/m)</th>
</tr>
<tr>
<th valign="middle" align="center">East</th>
<th valign="middle" align="center">North</th>
<th valign="middle" align="center">East</th>
<th valign="middle" align="center">North</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="3" align="center">1</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">&#x2212;0.54</td>
<td valign="middle" align="center">&#x2212;40.07</td>
<td valign="middle" align="center">&#x2212;1.32</td>
<td valign="middle" align="center">2.48</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">&#x2212;6.40</td>
<td valign="middle" align="center">33.24</td>
<td valign="middle" align="center">2.40</td>
<td valign="middle" align="center">&#x2212;1.03</td>
</tr>
<tr>
<td valign="middle" align="center">Net</td>
<td valign="middle" align="center">&#x2212;6.94</td>
<td valign="middle" align="center">&#x2212;6.83</td>
<td valign="middle" align="center">1.08</td>
<td valign="middle" align="center">1.45</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">2</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">&#x2212;3.51</td>
<td valign="middle" align="center">&#x2212;259.29</td>
<td valign="middle" align="center">&#x2212;12.36</td>
<td valign="middle" align="center">82.55</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">&#x2212;31.74</td>
<td valign="middle" align="center">98.99</td>
<td valign="middle" align="center">28.16</td>
<td valign="middle" align="center">&#x2212;21.04</td>
</tr>
<tr>
<td valign="middle" align="center">Net</td>
<td valign="middle" align="center">&#x2212;35.25</td>
<td valign="middle" align="center">&#x2212;160.30</td>
<td valign="middle" align="center">15.80</td>
<td valign="middle" align="center">61.51</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">3</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">&#x2212;9.00</td>
<td valign="middle" align="center">&#x2212;77.75</td>
<td valign="middle" align="center">&#x2212;2.04</td>
<td valign="middle" align="center">10.30</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">10.52</td>
<td valign="middle" align="center">52.85</td>
<td valign="middle" align="center">13.95</td>
<td valign="middle" align="center">&#x2212;4.10</td>
</tr>
<tr>
<td valign="middle" align="center">Net</td>
<td valign="middle" align="center">1.52</td>
<td valign="middle" align="center">&#x2212;24.90</td>
<td valign="middle" align="center">11.91</td>
<td valign="middle" align="center">6.20</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">4</td>
<td valign="middle" align="center">Flood</td>
<td valign="middle" align="center">&#x2212;0.68</td>
<td valign="middle" align="center">&#x2212;39.61</td>
<td valign="middle" align="center">&#x2212;0.21</td>
<td valign="middle" align="center">14.16</td>
</tr>
<tr>
<td valign="middle" align="center">Ebb</td>
<td valign="middle" align="center">24.42</td>
<td valign="middle" align="center">&#x2212;29.91</td>
<td valign="middle" align="center">21.18</td>
<td valign="middle" align="center">&#x2212;0.24</td>
</tr>
<tr>
<td valign="middle" align="center">Net</td>
<td valign="middle" align="center">23.74</td>
<td valign="middle" align="center">&#x2212;69.52</td>
<td valign="middle" align="center">23.97</td>
<td valign="middle" align="center">13.92</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average sediment flux per tidal cycle</td>
<td valign="middle" align="center">&#x2212;4.23</td>
<td valign="middle" align="center">&#x2212;65.39</td>
<td valign="middle" align="center">13.19</td>
<td valign="middle" align="center">20.77</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Positive values represent eastern/northern directions and negative values represent western/southern directions.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>At the KDD site, the sediment flux was correlated with the velocity (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6D</bold></xref>). During the flood period, the tidal mean sediment fluxes in the eastern and northern directions were -3.98 kg/m and 27.33 kg/m, respectively. During the ebb periods, the average eastern sediment flux was 16.48 kg/m, and the northern sediment flux was &#x2212;6.25 kg/m (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>).</p>
<p>At the QSG site, the average net sediment flux per tidal cycle in the eastern direction was &#x2212;4.23 kg/m, and &#x2212;65.39 kg/m in the northern direction (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>), indicating that a large amount of sediment was delivered to the QSG site (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8A</bold></xref>). At the KDD site, the net sediment flux per tidal cycle in the eastern and northern directions were 13.19 kg/m and 20.77 kg/m, respectively, which indicated a moderate amount of sediment was removed from the KDD site.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p><bold>(A)</bold> Map showing the shoreline of the Yellow River Delta in different years (1976, 1980, 1985, 1991, 1996, 2002, 2007, and 2018), with the average net sediment fluxes per tidal cycle at the two sites <bold>(A, B)</bold> annual change rate of coastline (1996&#x2013;2018) of the delta.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g008.tif"/>
</fig>
<p>The bed level change at the QSG and KDD sites displayed a clear correlation with the sediment flux. At the QSG site, the bed elevation increased by 8 mm, suggesting net deposition over the tidal cycles (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5E</bold></xref>). However, at the KDD site, the bed level decreased by 10 mm, suggesting bed erosion (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6E</bold></xref>).</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Different patterns of sedimentary processes</title>
<p>The two sites in the Yellow River Delta exhibited very different types of behavior regarding the hydrodynamics and sedimentary processes. The northern QSG tidal flat was deposited, whereas the southern KDD site eroded during the observation (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5E</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6E</bold></xref>). The two sites had similar sediment compositions (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>), suggesting that the sediment source of each site was likely to be the same, both from the adjacent estuary and riverine inputs (<xref ref-type="bibr" rid="B16">Herrling and Winter, 2018</xref>; <xref ref-type="bibr" rid="B32">Pearson et&#xa0;al., 2020</xref>). It could be concluded that tidal and wave conditions were responsible for this difference. The northern QSG site was in a diurnal tidal environment, whereas the southern KDD site was in a mixed semi-diurnal tidal environment (<xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>; <xref ref-type="bibr" rid="B19">Ji et&#xa0;al., 2020</xref>). As a result, the inundation period of the QSG site was much longer than that of the KDD site (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>). Longer inundation times were associated with greater water depths, which promoted sedimentation on the tidal flats (<xref ref-type="bibr" rid="B62">Yang et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B10">Davis et&#xa0;al., 2017</xref>). Moreover, more powerful waves at the KDD site under a shallow water environment resulted in comparatively more erosion than at the QSG site (<xref ref-type="bibr" rid="B36">Shi et&#xa0;al., 2019</xref>).</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Different types of tides in the Yellow River Delta (modified after <xref ref-type="bibr" rid="B19">Ji et&#xa0;al., 2020</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g009.tif"/>
</fig>
<p>Notably, at the QSG site, a high SSC occurred at the beginning of the flood period and at high slack water (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>), which indicated that a large amount of sediment was transported from the adjacent sea to the tidal flat (<xref ref-type="bibr" rid="B37">Shi et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B31">Nowacki and Ganju, 2021</xref>). In contrast, the KDD site showed large temporal variations in SSC, which correlated highly with the large bed shear stress at the KDD site (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>). A high-SSC environment and long slack water period provided favorable conditions for sediment settling at the QSG site, whereas a large bed shear stress led to sediment resuspension at the KDD site. Previous studies indicated that longshore currents flowed from north to south during flood tides while from south to north during ebb tides in the Yellow River Delta (<xref ref-type="bibr" rid="B5">Bi et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B12">Fan et&#xa0;al., 2020</xref>). The direction of the residual water mass and sediment transport was northeast at KDD and was southwest at QSG during fair weather conditions (<xref ref-type="bibr" rid="B12">Fan et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B18">Ji et&#xa0;al., 2022</xref>), which agreed with the results of the net sediment fluxes at the two sites in this study.</p>
<p>In this study, we proposed an integrated conceptual model to describe the sedimentary processes at the two sites (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref>). At the QSG site with diurnal tides, the sediment from the adjacent estuarine water was delivered to the tidal flat; additionally, it was resuspended due to high bed shear stress, leading to rich sediment supply and a high SSC environment. Combined with a relatively high-water level, most of the sediment settled and deposited (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10A</bold></xref>). At the KDD site, with mixed semi-diurnal tides, relatively strong wave activity, combined with shallow water, resulted in high bed shear stress and sediment erosion from the bed. Unlike the QSG site, which was always submerged, the KDD site was predominantly eroded during a short period of inundation when the bed shear stress was high. The eroded sediment was transported to the subtidal area and the adjacent estuarine water, leading to erosion at the KDD site (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10B</bold></xref>).</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Conceptual models for different sedimentary processes in the <bold>(A)</bold> diurnal-tide environment and <bold>(B)</bold> mixed semi-tide environment.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g010.tif"/>
</fig>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Determinants of asymmetric evolution</title>
<p>Previous studies have reported that estuarine tidal flat evolution was jointly influenced by the fluvial sediment supply, tidal currents, waves, and vegetation (<xref ref-type="bibr" rid="B47">Temmerman et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B26">Mariotti and Fagherazzi, 2013</xref>; <xref ref-type="bibr" rid="B59">Xie et&#xa0;al., 2021</xref>). The fluvial sediment supply affected tidal flat evolution by controlling sediment availability (<xref ref-type="bibr" rid="B63">Yang et&#xa0;al., 2011b</xref>; <xref ref-type="bibr" rid="B30">Nittrouer et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B18">Ji et&#xa0;al., 2022</xref>). A larger riverine sediment input enhanced sediment availability, leading to delta progradation and associated tidal flat accretion (<xref ref-type="bibr" rid="B6">Blum and Roberts, 2012</xref>; <xref ref-type="bibr" rid="B4">Bi et&#xa0;al., 2021</xref>). In this study, the fluvial sediment supply was not a determinant factor for the asymmetric evolution in the Yellow River Delta. The river channel of the delta was along the northwest-southeast direction before 1996 and was closer to the KDD site (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). After 1996, the river shifted to the present channel position, which was in the northeast&#x2013;southwest direction and closer to the QSG site. If the fluvial sediment supply was the dominant factor, the KDD site would have accumulated and deposited sediment between 1976 and 1996. However, coastline changes indicated that the southern tidal flat of the delta was eroded and retreated between 1976 and 1996 (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>). These results suggested that the fluvial sediment supply was not directly responsible for the contrasting evolution of the Yellow River Delta. Previous studies have reported that local sediment availability had a direct positive impact on tidal flat evolution (<xref ref-type="bibr" rid="B20">Kirwan and Megonigal, 2013</xref>; <xref ref-type="bibr" rid="B35">Schuerch et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B24">Maan et&#xa0;al., 2019</xref>). Besides riverine sediment supply, local sediment availability for a tidal flat was also influenced by local hydrodynamics, plant growth, and human modification (<xref ref-type="bibr" rid="B13">Friedrichs, 2011</xref>; <xref ref-type="bibr" rid="B34">Roman, 2017</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>). In this study, we chose to perform the measurements in November, when the fluvial sediment flux from the Yellow River was low. In this study, we chose to perform the measurements in November, when the fluvial sediment flux from the Yellow River was low. During the study period, the different tidal conditions in the Yellow River Delta, were the principal factor in controlling the local sediment availability. The diurnal-tidal environment in the northern part of the delta enhanced sediment import from the adjacent estuarine water and increased the inundation time of tidal flats (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10A</bold></xref>). The tidal conditions provided favorable environment for sediment settling, which helped capture sediment on tidal flats (<xref ref-type="bibr" rid="B52">van Proosdij et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>). The mixed semi-diurnal tidal environment in the southern part of the delta led to a shorter inundation period compared with the northern part, thus tidal flats were unlikely to trap sediment (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10B</bold></xref>). The difference in tidal conditions might explain why the asymmetric evolution in the Yellow River Delta did not respond to the river channel shift.</p>
<p>The second influential factor in tidal flat evolution was wave activity. The bed shear stress (&#x3c4;<sub>rms</sub>) was important to sedimentary processes of tidal flats. Wave-driven sediment resuspension and transport, interacted with sediment transport driven by currents, always controlled sediment erosion and deposition on tidal flats (<xref ref-type="bibr" rid="B53">van Rijn, 1993</xref>; <xref ref-type="bibr" rid="B15">Green and Coco, 2014</xref>). The KDD tidal flat, which was open to the sea, was more likely to experience stronger wave energy than the sheltered QSG tidal flat. Moreover, waves played a vital role in river delta progradation and channel avulsion (<xref ref-type="bibr" rid="B29">Nienhuis et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B14">Gao et&#xa0;al., 2020</xref>). In some cases, waves controlled channel orientation and, therefore, asymmetric growth by wave-driven bypassing sediment flux (<xref ref-type="bibr" rid="B29">Nienhuis et&#xa0;al., 2016</xref>).</p>
<p>The third significant factor was vegetation. Vegetation, which attenuated wave energy and enhanced sediment trapping, also played an important role in the tidal flat evolution (<xref ref-type="bibr" rid="B62">Yang et&#xa0;al., 2008</xref>). The vegetation at the QSG site was <italic>Spartina alterniflora</italic> which had been proven to be effective in trapping sediment on tidal flats (<xref ref-type="bibr" rid="B64">Yuan et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B3">Angelini et&#xa0;al., 2018</xref>), whereas the KDD site was almost bare without vegetation (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref>). Different vegetation condition was also the impact factor in determining the contrasting evolution of the Yellow River Delta.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Photographs showing <bold>(A)</bold> the bare flat in the southern KDD site in 2019 and <bold>(B)</bold> the same location after <italic>Suaeda salsa</italic> restoration and colonization in 2021.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1259081-g011.tif"/>
</fig>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Management implications</title>
<p>Coastal regions are highly sensitive to change, caused by natural variations as well as human modifications. This includes the increasing changes in climate, specifically rising sea-levels and extreme weather events. Regional water and sediment management are urgently required to minimize the effects of such risks (<xref ref-type="bibr" rid="B20">Kirwan and Megonigal, 2013</xref>; <xref ref-type="bibr" rid="B44">Syvitski et&#xa0;al., 2022</xref>). Tidal flats are important components of river deltas and usually act as sediment sources for both salt marshes and estuarine waters (<xref ref-type="bibr" rid="B13">Friedrichs, 2011</xref>; <xref ref-type="bibr" rid="B11">Donatelli et&#xa0;al., 2018</xref>). For effective coastal protection and management, a better understanding of sedimentary processes on tidal flats, and their determinants, is required (<xref ref-type="bibr" rid="B35">Schuerch et&#xa0;al., 2014</xref>). The determinants of these tidal flat sedimentary processes vary in different estuarine environments. For example, storm-associated waves and storm surges dominated tidal flat sedimentation in an open-coast tidal flat in the south-western Korea (<xref ref-type="bibr" rid="B60">Yang et&#xa0;al., 2005</xref>). However, for the Kapellebank tidal flat in the Netherlands, storm events were infrequent and therefore did not affect the long-term morphodynamics of the tidal flat; while small wind waves had a significant stabilizing effect on tidal flat evolution (<xref ref-type="bibr" rid="B25">Maan et&#xa0;al., 2018</xref>). Field measurements also confirmed the ability of the tidal flat system to quickly recover from storms (<xref ref-type="bibr" rid="B58">Xie et&#xa0;al., 2017</xref>). Flow asymmetry and mud properties were also reported to influence tidal flat sedimentation (<xref ref-type="bibr" rid="B51">van Maren and Winterwerp, 2013</xref>). Moreover, local sediment availability was considered to have strong impacts on the intertidal environment in the Delaware bay and the Yangtze Estuary (<xref ref-type="bibr" rid="B41">Stammermann and Piasecki, 2012</xref>; <xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2018b</xref>).</p>
<p>The sediment composition and mud properties were almost identical at the two sites studied. The influence of the fluvial sediment supply could be omitted during the study period. The results of this study suggested that tidal conditions, waves, and local sediment availability were the main determinants of the asymmetric evolution in the Yellow River Delta. The different tidal condition was the most important impact factor, because it formed long inundation period and reduced the wave effect at the QSG site. The tidal environment made the QSG site quite suitable for sediment settling and deposition. Richer local sediment availability in the northern part might also have a positive effect on the depositional process at the QSG site compared to that at the KDD site. Owing to the large decrease in fluvial sediment supply, tidal flats in the Yellow River Delta experienced severe erosion and retreat (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2017</xref>). Moreover, it should be noted that the above sedimentary patterns of the two contrasting tidal flats were concluded under fair weather conditions, which appeared different during storms. Storms greatly affected longshore currents, changed the direction and enhanced the magnitude of residual water mass and sediment flux in the Yellow River Delta. For example, the residual currents were transported toward the northeast at KDD under fair weather conditions. Affected by the northerly storm, the residual transport of water flowed southward (<xref ref-type="bibr" rid="B12">Fan et&#xa0;al., 2020</xref>). Moreover, the trends of sediment transport under the combined influence of river-tide-wave dynamics, also differed from those under river-tide dynamics (<xref ref-type="bibr" rid="B18">Ji et&#xa0;al., 2022</xref>), indicating that storms could sharply alter local hydrodynamics, sediment availability, and sedimentary processes of tidal flats within a short period of time.</p>
<p>Considering the different tidal conditions in the northern and southern parts of the Yellow River Delta, solutions to protect estuarine tidal flats might be different. In the northern part, if sediment availability could be enhanced, additional sediment could be transported to tidal flats and settle easily due to the diurnal tide environment. For the southern part, the inundation period was quite short, and the wave effect was relatively high due to the shallow water. Vegetation restoration, which could attenuate waves and increase the capability to trap more sediment, would be a good solution to avoid continuing erosion in this area. The southern part of the Yellow River Delta has already implemented a similar solution with the establishment of <italic>Suaeda salsa</italic> to protect tidal flats (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref>).</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this study, we examined the hydrodynamics, sediment transport dynamics, and morphological changes at two micro-tidal sites in the Yellow River Delta based on field measurements. We also observed distinctive tidal flat evolution patterns of the two sites, which were ascribed to the combined effects of tidal forcing and wave climate. The field study showed that the inundation period of the northern QSG site was much longer than that of the southern KDD site. At the QSG site, a landward sediment flux led to deposition on the tidal flats. At the KDD site, the sediment was resuspended and eroded locally because of the larger bed shear stress and short submerged period. The results suggested that tidal conditions, waves, and local sediment availability were the main determinants of the contrasting evolution in the Yellow River Delta. The SSC and flow asymmetries determined the intertidal sedimentary process in the absence of strong waves.</p>
<p>This study highlighted the profound hydro-morphodynamic effect of tidal conditions on asymmetric tidal flat evolution, which shed light on coastal protection and management. The field results indicated that enhancing sediment availability would be favorable for more sedimentation and deposition in the northern part of the Yellow River Delta. In the southern part, vegetation restoration could attenuate waves and was beneficial for preventing tidal flats from continuing erosion.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>WX: Writing &#x2013; original draft, Writing &#x2013; review and editing. JS: Conceptualization, Data curation, Writing &#x2013; review and editing. LG: Writing &#x2013; review and editing. FX: Writing &#x2013; review and editing. XW: Supervision, Writing &#x2013; review and editing. HJ: Data curation, Visualization, Writing &#x2013; review and editing. YF: Methodology, Validation, Writing &#x2013; review and editing. ZW: Supervision, Writing &#x2013; review and editing. QH: Supervision, Writing &#x2013; review and editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This work is financially supported by the National Natural Science Foundation of China (Nos. U2243207, 42276217, 51909101, U2040216). Financial support from Ministry of Science and Technology of China (No. 2016YFE0133700), and Royal Netherlands Academy of Arts and Sciences (KNAW) (No. PSA-SA-E-02) is also acknowledged. This project is also funded by the Yangtze Delta Estuarine Wetland Ecosystem Observation and Research Station, Ministry of Education &amp; Shanghai Science and Technology Committee (ECNU-YDEWS-2022).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We would like to thank Zhonghao Zhao and Shang Yu for their assistance in the field work.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
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