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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">978109</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.978109</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Comparison of process-based and lumped parameter models for projecting future changes in fluvial sediment supply to the coast</article-title>
<alt-title alt-title-type="left-running-head">Sirisena et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.978109">10.3389/feart.2022.978109</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sirisena</surname>
<given-names>T. A. J. G.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1015307/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bamunawala</surname>
<given-names>Janaka</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Maskey</surname>
<given-names>Shreedhar</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/126555/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ranasinghe</surname>
<given-names>Roshanka</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/337645/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Coastal and Urban Risk and Resilience</institution>, <institution>IHE Delft Institute for Water Education</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Water Engineering and Management</institution>, <institution>University of Twente</institution>, <addr-line>Enschede</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Civil and Environmental Engineering</institution>, <institution>Tohoku University</institution>, <addr-line>Sendai</addr-line>, <country>Japan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Water Resources and Ecosystems</institution>, <institution>IHE Delft Institute for Water Education</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Harbour Coastal and Offshore Engineering</institution>, <institution>Deltares</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1153909/overview">Francesca Pianosi</ext-link>, University of Bristol, United Kingdom</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/624892/overview">Raaj Ramsankaran</ext-link>, Indian Institute of Technology Bombay, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1325871/overview">Prashanth Reddy Hanmaiahgari</ext-link>, Indian Institute of Technology Kharagpur, India</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: T. A. J. G. Sirisena, <email>jeewanthisri@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Hydrosphere, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>978109</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>06</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Sirisena, Bamunawala, Maskey and Ranasinghe.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Sirisena, Bamunawala, Maskey and Ranasinghe</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>Fluvial sediment supply (FSS) is one of the primary sources of sediment received by coasts. Any significant change in sediment supply to the coast will disturb its equilibrium state. Therefore, a robust assessment of future changes in FSS is required to understand the coastal system&#x2019;s status under plausible climatic variations and human activities. Here, we investigate two modelling approaches to estimate the FSS at two spatially heterogeneous river basins: the Irrawaddy River Basin (IRB), Myanmar and the Kalu River Basin (KRB), Sri Lanka. We compare the FSS obtained from a process-based model (i.e., Soil Water Assessment Tool: SWAT) and an empirical model (i.e., the BQART model) for mid- (2046&#x2013;2065) and end-century (2081&#x2013;2100) periods under climate change and human activities (viz, planned reservoirs considered here). Our results show that SWAT simulations project a higher sediment load than BQART in the IRB and <italic>vice versa</italic> in KRB (for both future periods considered). SWAT projects higher percentage changes for both future periods (relative to baseline) compared to BQART projections in both basins with climate change alone (i.e., no reservoirs) and <italic>vice versa</italic> when planned reservoirs are considered. The difference between the two model projections (from SWAT and BQART) is higher in KRB, and it may imply that empirical BQART model projections are more in line with semi-distributed SWAT projections at the larger Irrawaddy River Basin than in the smaller Kalu River Basin.</p>
</abstract>
<kwd-group>
<kwd>fluvial sediment supply</kwd>
<kwd>modelling approaches</kwd>
<kwd>spatial scales</kwd>
<kwd>BQART</kwd>
<kwd>SWAT</kwd>
<kwd>climate change</kwd>
<kwd>reservoirs</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Fluvial sediment transport from catchment to coast is a complex process predominantly affected by geology, climate, geography, and human activities within the basin (<xref ref-type="bibr" rid="B43">Syvitski and Milliman, 2007</xref>). Based on the contemporary global trends of fluvial sediment supply, <xref ref-type="bibr" rid="B46">Syvitski et al. (2005)</xref> indicate that despite the generally increased soil erosion at river catchments (basin), sediment volume received by the world&#x2019;s coast is decreasing due to anthropogenic retention. Many studies indicate that the future changes in climate (e.g., increased temperature and varied precipitation) and human activities (e.g., development or removal of dams, changes in land-use patterns, and urbanization) within river basins are most likely to result in significant changes to their hydrological responses (<xref ref-type="bibr" rid="B43">Syvitski and Milliman, 2007</xref>; <xref ref-type="bibr" rid="B28">Overeem and Syvitski, 2009</xref>; <xref ref-type="bibr" rid="B42">Syvitski et al., 2009</xref>; <xref ref-type="bibr" rid="B5">Bamunawala et al., 2018a</xref>; <xref ref-type="bibr" rid="B32">Ranasinghe et al., 2019</xref>). In addition to affecting the coastal ecosystems, any substantial variation in fluvial sediment supply received by coasts will have severe implications for the coast itself and the total sediment budget of a coastal system (<xref ref-type="bibr" rid="B44">Syvitski et al., 2003</xref>) and hence, plays a crucial role in shaping up the coasts and delta systems (<xref ref-type="bibr" rid="B42">Syvitski et al., 2009</xref>; <xref ref-type="bibr" rid="B5">Bamunawala et al., 2018a</xref>; <xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B15">Dunn et al., 2018</xref>; <xref ref-type="bibr" rid="B14">Dunn et al., 2019</xref>; <xref ref-type="bibr" rid="B32">Ranasinghe et al., 2019</xref>). If such changes along coasts are to occur, they will inevitably associate with significant socio-economic consequences. This is because the Low Elevation Coastal Zone (LECZ), defined as areas within 10&#xa0;m of mean sea level (<xref ref-type="bibr" rid="B47">Vafeidis et al., 2011</xref>), is home to &#x223c;10% of the world&#x2019;s population, with more than a billion expected by 2050 (<xref ref-type="bibr" rid="B19">Merkens et al., 2016</xref>) and heavily utilized by humans for myriad activities (e.g., navigation, defence, and military, tourism, agriculture, use of various marine/ecosystem resources and services, waste disposal, development of various coastal infrastructures, research, art, and recreational activities) (<xref ref-type="bibr" rid="B17">McGranahan et al., 2007</xref>; <xref ref-type="bibr" rid="B25">Nicholls et al., 2008</xref>; <xref ref-type="bibr" rid="B26">Nicholls et al., 2011</xref>; <xref ref-type="bibr" rid="B53">Wong et al., 2014</xref>; <xref ref-type="bibr" rid="B24">Neumann et al., 2015</xref>; <xref ref-type="bibr" rid="B27">Oppenheimer et al., 2019</xref>). Substantial variations of streamflow and sediment load can be observed in many river systems worldwide. Recent studies have reported that many large rivers (i.e., Yellow River, Yangtze River, Chao Phraya River, Pearl River, and Nile River) show a considerable reduction of sediment supply to the coast due to reservoirs and land-use changes (<xref ref-type="bibr" rid="B49">Walling, 2009</xref>; <xref ref-type="bibr" rid="B20">Miao et al., 2011</xref>; <xref ref-type="bibr" rid="B54">Yang et al., 2015</xref>; <xref ref-type="bibr" rid="B8">Besset et al., 2019</xref>; <xref ref-type="bibr" rid="B32">Ranasinghe et al., 2019</xref>). Therefore, it is necessary to understand the physical response of river basins (fluvial sediment supply in particular) under any substantial variation in climate-change-driven impacts and anthropogenic activities.</p>
<p>Several numerical models have been developed over the past decades to understand this complex phenomenon of sediment erosion and the transport process at the basin scale. Some of them are the Area Relief Temperature sediment delivery model (i.e., the ART model) presented by <xref ref-type="bibr" rid="B45">Syvitski (2003)</xref>, the BQART model presented by <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref>, Annualized Agricultural Non-Point Source Pollution Model (i.e., the AnnAGNPS model) by <xref ref-type="bibr" rid="B9">Bingner and Theurer (2001)</xref>, Soil Water Assessment Tool (i.e., the SWAT) presented by <xref ref-type="bibr" rid="B23">Neitsch et al. (2011)</xref>, Limburg Soil Erosion Model (i.e., the LISEM) by <xref ref-type="bibr" rid="B11">De Roo et al. (1996)</xref>, Pan-European Soil Erosion Risk Assessment (i.e., the PESERA) by <xref ref-type="bibr" rid="B16">Kirkby et al. (2008)</xref>, SPAtially Distributed Scoring model (i.e., SPADS model) presented by <xref ref-type="bibr" rid="B13">De Vente et al. (2008)</xref>, Pelletier (<xref ref-type="bibr" rid="B29">Pelletier, 2012</xref>), WATEM&#x2013;SEDEM (<xref ref-type="bibr" rid="B34">Rompaey et al., 2001</xref>) and WBMsed (<xref ref-type="bibr" rid="B10">Cohen et al., 2013</xref>). Some of these models (e.g., LISEM, SWAT, and SPADSe) are highly detailed and need many catchment-specific inputs, substantial computing capacity and time. On the other hand, empirical (e.g., BQART and AnnAGNPS) are much more efficient in computing capabilities and are often forced with a smaller number of model inputs that can be found <italic>via</italic> globally available datasets. While both these modelling approaches have their advantages, the use of data-parsimonious and computationally efficient models (i.e., reduced-complexity models) to project the hydrological responses in the river basin, is becoming a common practice, especially for integrated assessment of catchment-coastal systems (<xref ref-type="bibr" rid="B30">Ranasinghe et al., 2012</xref>; <xref ref-type="bibr" rid="B7">Bamunawala et al., 2018b</xref>; <xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B4">Bamunawala et al., 2020b</xref>; <xref ref-type="bibr" rid="B31">Ranasinghe, 2020</xref>).</p>
<p>These emerging reduced complexity models that assess coastline changes employ empirical models such as BQART model to compute fluvial sediment supply to simulate coastline position change over 50&#x2013;100&#xa0;years at a reasonable computational cost and time (<xref ref-type="bibr" rid="B31">Ranasinghe, 2020</xref>). However, these coastline change projections inevitably contain significant uncertainties due to both variabilities in modelling techniques adopted (i.e., model uncertainties) and climate-related impact drivers and human activities (i.e., input uncertainties) considered (<xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B4">Bamunawala et al., 2020b</xref>). Therefore, it is also imperative to be able to quantify the uncertainties associated with coastline change projections to facilitate risk-informed decision-making by coastal zone planners and managers (<xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B4">Bamunawala et al., 2020b</xref>; <xref ref-type="bibr" rid="B6">Bamunawala et al., 2021</xref>). Computationally efficient reduced complexity models like empirical methods are more suitable for this purpose than the process-based modelling approaches that require a high level of input data and sizeable computational power. The empirical lumped method to estimate sediment load enables fast computations in such reduced complexity models of coastline change. On the other hand, a lumped empirical model missed some spatial variabilities that may affect the model&#x2019;s accuracy when applied on different scales. However, which model type (lumped-empirical or (semi-) distributed process-based) performs better in a particular application depends on many factors, e.g., existing variability in the catchment, quantity-quality of input and calibration data, spatial-temporal scales of application, etc. Therefore, it is necessary to have a better understanding and more insights into the sediment load projections by empirical models compared to the projections obtained by more distributed and process-based models in different basin conditions. Such insights into fluvial sediment load assessment would significantly enhance its subsequent applications with coastline change models and their projections.</p>
<p>Here, we compare sediment load estimations from a process-based model (i.e., SWAT) applied in a distributed setting (by dividing the basin into sub-basins and further into hydrological response units) with the projections obtained from a lumped empirical model (i.e., BQART model) to gain insights on the appropriateness of using the latter modelling techniques in reduced complexity models to assess the long-term evolution of coastlines. To achieve this objective, two case study sites were selected: the Irrawaddy River Basin (IRB) in Myanmar and the Kalu River Basin (KRB) in Sri Lanka, so that they encompass a broad range of spatial scales (very large to small). Compared to other major rivers in South and Southeast Asia, these two basins&#x2019; main rivers are mostly unregulated and can be considered pristine systems.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study areas</title>
<p>The Irrawaddy (Ayeyarwady) is the largest river basin in Myanmar, covering more than 50% of the land area. The Irrawaddy river is &#x223c;2,100&#xa0;km long, while the drainage area of 410,000&#xa0;km<sup>2</sup> is primarily located in Myanmar (91%) and small parts in China (4%) and India (5%) (<xref ref-type="fig" rid="F1">Figure 1A</xref>). The Irrawaddy River originates at the confluence of the Mali and N&#x2019;Mai rivers and is fed by its main tributary (the Chindwin River) at Pakokku. It is the most important commercial waterway in Myanmar and ends in the Andaman Sea to form the second-largest delta system in Southeast Asia. The delta system begins &#x223c;120&#xa0;km downstream of the Pyay station and propagates &#x223c;2.5&#xa0;km/100&#xa0;years (on average) into the Andaman Sea (<xref ref-type="bibr" rid="B33">Rodolfo, 1975</xref>). The basin&#x2019;s topography varies from hilly mountain ranges upstream and low-lying delta downstream, passing through middle flood plains and plateaus. More than 65% of the basin area is covered by forest and agricultural lands. The most commonly found soil type of the IRB is clay-rich Acrisols. The basin receives a spatially varied annual rainfall of 500&#x2013;4,000&#xa0;mm, mainly during the monsoon season (May to October), with the average daily temperature ranging between 11 and 34&#xb0;C within a year. The Irrawaddy river carries &#x223c;380 Billion m<sup>3</sup> of water and &#x223c;325 Million tons of sediment annually at Pyay station.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Irrawaddy river basin in Myanmar <bold>(A)</bold>, Kalu river basin in Sri Lanka <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="feart-10-978109-g001.tif"/>
</fig>
<p>The Kalu River Basin is the second largest river basin in Sri Lanka and receives high rainfalls leading to high river flows. The Kalu River (Kalu Ganga) originates from the Samanala mountain range in the South-central part of Sri Lanka and falls out to the sea at Kaluthara after traversing &#x223c;129&#xa0;km (<xref ref-type="fig" rid="F1">Figure 1B</xref>). The drainage area of the Kalu River is &#x223c;2,787&#xa0;km<sup>2</sup>. The coastal zone adjacent to the Kalu river outfall comprises a small tidal inlet system experiencing a .6&#xa0;m oceanic tidal range. Much of the basin is utilized for rain-fed paddy cultivation, rubber, tea, and other commercial crops scattered throughout the basin. Clay-rich Acrisol is the most dominant soil type found in the basin. The average annual rainfall in the basin is &#x223c;3,800&#xa0;mm, mainly driven by the southwest monsoon (May&#x2013;September). The average daily temperature in the basin is &#x223c;25&#xb0;C. The Kalu river carries &#x223c;4,000 Million m<sup>3</sup> of water and &#x223c;0.7 Million tons of sediment load annually (on average) to the sea.</p>
</sec>
<sec id="s2-2">
<title>2.2 The SWAT description and input data</title>
<p>The Soil Water Assessment Tool (SWAT), developed by USDA Agricultural Research Service (<xref ref-type="bibr" rid="B1">Arnold et al., 1998</xref>; <xref ref-type="bibr" rid="B23">Neitsch et al., 2011</xref>), is a process-based continuous-time model for catchment simulations. In SWAT, a river basin is partitioned into sub-basins and further divided into hydrological response units (HRUs) based on land use, soil type, and slope classes. HRUs are the primary computational units of SWAT. Major catchment processes modelled in SWAT are hydrology, soil erosion, nutrients/pesticides (water quality), plant growth, and channel routing. SWAT estimates the surface runoff of each HRU using the Soil Conservation Services-Curve Number (SCS-CN)(<xref ref-type="bibr" rid="B41">Soil Conservation Service, 1971</xref>; <xref ref-type="bibr" rid="B40">Soil Conservation Service Engineering Division, 1986</xref>) or the Green and Ampt infiltration method (<xref ref-type="bibr" rid="B18">Mein and Larson, 1973</xref>). In this study, the SCS-CN method was used in all the simulations. The model estimates the soil erosion at each HRU caused by rainfall and runoff using the Modified universal Soil Loss Equation (MUSLE) (<xref ref-type="bibr" rid="B51">Williams and Berndt, 1977</xref>; <xref ref-type="bibr" rid="B52">Wischmeier and Smith, 1978</xref>) and assumes that all eroded sediments reach the channels. MUSLE (Eq. <xref ref-type="disp-formula" rid="e1">1</xref>) is the modified version of the Universal Soil Loss Equation (USLE). In this version, the rainfall energy factor in USLE is replaced with the runoff factor, which improves sediment predictions and allows for the simulation of individual storm events (<xref ref-type="bibr" rid="B23">Neitsch et al., 2011</xref>).<disp-formula id="e1">
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<label>(1)</label>
</disp-formula>where, sed is the sediment yield (tons), <inline-formula id="inf1">
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<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the surface runoff (mm), <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the peak runoff (m<sup>3</sup>/s), <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the area of HRU (ha), <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are USLE soil erodibility factor, cover, and management factor, support practice factor, and topographic factor, respectively, and <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the coarse fragment factor.</p>
<p>The sediment transport model used in SWAT consists of two processes (i.e., deposition and degradation) which determine the magnitude of sediment generated within a river reach. The amount of sediment deposition or degradation depends on several factors, such as the maximum sediment concentration transported with river flow (Eq. <xref ref-type="disp-formula" rid="e2">2</xref>), according to Bagnold&#x2019;s Equation (<xref ref-type="bibr" rid="B23">Neitsch et al., 2011</xref>), flow velocity, flow rate, soil cover, and erodibility of the reach.<disp-formula id="e2">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:msubsup>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where, <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum sediment concentration transported by water (ton/m<sup>3</sup>), <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the sediment transport coefficient; <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the peak velocity in the river (m/s), and <inline-formula id="inf9">
<mml:math id="m11">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the exponent of the velocity.</p>
<p>When the maximum sediment concentration that can be carried by the water flow is less than the sediment concentration of the reach, sediment deposition (Eq. <xref ref-type="disp-formula" rid="e3">3</xref>) occurs and <italic>vice versa</italic> for sediment degradation (Eq. <xref ref-type="disp-formula" rid="e4">4</xref>).<disp-formula id="e3">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mi mathvariant="italic">deg</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where, <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mi mathvariant="italic">deg</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the deposited and reentratined sediment volumes in the reach, respectively (tons), <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the sediment concentration of the reach at the initial time (ton/m<sup>3</sup>), <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum sediment concentration, which can be carried by water (ton/m<sup>3</sup>), <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the water volume in the reach (m<sup>3</sup>), <inline-formula id="inf15">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the erodibility factor of the channel, and <inline-formula id="inf16">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the cover factor of the channel.</p>
<p>The amount of sediment (in tons) flowing out from a river reach (Eq. <xref ref-type="disp-formula" rid="e5">5</xref>) is calculated based on the sediment amount (in tons&#x2013;based on the initial amount of suspended sediment in the reach, deposited and degraded sediments), and volume of outflows.<disp-formula id="e5">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where, <inline-formula id="inf17">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the amount of sediment outflow from the reach (tons), <inline-formula id="inf18">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the suspended sediment load in the reach (tons), and <inline-formula id="inf19">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the outflow volume (m<sup>3</sup>).</p>
<p>As model inputs, SWAT requires surface elevation data (digital elevation model (DEM)), land use, soil characteristics, land management, and daily climatic data (i.e., precipitation, maximum and minimum temperatures). In this study, all the spatial data (i.e., DEM, landuse, and soil) were obtained from freely available global products. Hydro-meteorological data (i.e., precipitation, temperature, streamflow, and sediment load) were obtained from local authorities in the two countries (i.e., Myanmar and Sri Lanka) and previous studies and reports. The SWAT model setup for each basin was calibrated and validated for streamflow and sediment loads. At first, streamflow was calibrated and validated with the available data at eight stations in IRB and 3 stations in KRB. These models were subsequently calibrated and validated for sediment load at 3 stations in IRB and at the basin outlet of KRB. The detailed information on input data, calibration, and validation of the SWAT models for streamflow and sediment loads at the Irrawaddy and Kalu River Basins are presented in <xref ref-type="bibr" rid="B38">Sirisena et al., 2018</xref>, <xref ref-type="bibr" rid="B37">Sirisena et al., 2021a</xref>, and <xref ref-type="bibr" rid="B36">Sirisena et al., 2021b</xref>.</p>
<p>In SWAT simulations for future periods, precipitation and temperature data were obtained from three General Circulation Models (GCMs) for the Irrawaddy Basin and three Regional Climate Models (RCMs) for the Kalu Basin under RCP 2.6 and RCP 8.5. Here, simulations were performed for the two future periods considered (i.e., 2046&#x2013;2065 (mid-century) and 2081&#x2013;2100 (end-century)). The detailed descriptions of GCMs and RCMs are provided in <xref ref-type="sec" rid="s10">Supplementary Table S1</xref> and the selection of the respective GCMs and RCMs are summarized in <xref ref-type="bibr" rid="B37">Sirisena et al. (2021a)</xref>, <xref ref-type="bibr" rid="B36">Sirisena et al. (2021b)</xref>, respectively. It is assumed that prevailing land-use conditions will remain invariant throughout the modelling period, and the inclusion of planned reservoirs is the only future human activity considered. For the future periods, out of the several planned reservoirs in the Irrawaddy basin, six large reservoirs having capacities of 17.7, 2.2, 2.6, 11.2, 13.2, and 8.6 billion m<sup>3</sup> were considered to analyze their impacts on streamflow and sediment transport using SWAT (more details can be found in <xref ref-type="bibr" rid="B39">Sirisena, 2020</xref>; <xref ref-type="bibr" rid="B36">Sirisena et al., 2021a</xref>). Each reservoir and its trapping efficiency are individually represented in the SWAT model.</p>
</sec>
<sec id="s2-3">
<title>2.3 The BQART model description and input data</title>
<p>Many coastal studies have used BQART presented by <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> to project annual fluvial sediment supply to the coast (e.g. <xref ref-type="bibr" rid="B2">Balthazar et al., 2013</xref>; <xref ref-type="bibr" rid="B5">Bamunawala et al., 2018a</xref>; <xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B4">Bamunawala et al., 2020b</xref>; <xref ref-type="bibr" rid="B6">Bamunawala et al., 2021</xref>). BQART was developed using data from 488 global river basins, and it estimates the long-term average annual suspended sediment load using the following equations.<disp-formula id="e6">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>B</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mi>Q</mml:mi>
<mml:mn>0.31</mml:mn>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mn>0.5</mml:mn>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>R</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>T</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>T</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mn>0</mml:mn>
</mml:msup>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <italic>Q</italic>
<sub>
<italic>s</italic>
</sub> is the sediment load in kg/s or MT/yr with <italic>&#x3c9;</italic> &#x3d; 0.02 or 0.0006, respectively, <italic>B</italic> is the lithology and human impact index, <italic>Q</italic> is the annual streamflow from the basin (km<sup>3</sup>/yr), <italic>A</italic> is the basin area (km<sup>2</sup>), <italic>R</italic> is the relief of the basin (km), <italic>T</italic> is mean annual temperature of the basin (<sup>o</sup>C).</p>
<p>The term &#x2018;B&#x2019; accounts for geology and human activities, which is defined as;<disp-formula id="e7">
<mml:math id="m26">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>I</italic> is the glacial erosion factor (<italic>I</italic> &#x2265; 1), <italic>L</italic> is the basin-wide lithology factor, <inline-formula id="inf20">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is reservoir trapping efficiency, and <inline-formula id="inf21">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the human-induced erosion factor.</p>
<p>The term <italic>I</italic> is defined as<disp-formula id="e8">
<mml:math id="m29">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.09</mml:mn>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where, <inline-formula id="inf22">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the percentage of ice coverage area in the basin.</p>
<p>The main rivers in the two study areas are mostly in pristine condition. However, as mentioned earlier, six large planned reservoirs were considered in the hydrological simulations of the Irrawaddy basin. Since BQART is a lumped model, the trapping efficiency is defined for the entire basin. Therefore, for BQART applications, the basin-wide Trapping Efficiency (TE) from the six reservoirs was estimated using the method proposed by <xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref> (from <xref ref-type="disp-formula" rid="e6">Eqs 6</xref>&#x2013;<xref ref-type="disp-formula" rid="e11">11</xref>). <xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref> developed the basin-wide trapping efficiency model for large reservoirs (&#x3e;500 MCM) by considering 633 reservoir data across the world. This basin-wide trapping (<inline-formula id="inf23">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) is derived by considering the geographical locations of the reservoirs and the sediment residence time from 236 regulated river basins. <xref ref-type="fig" rid="F2">Figure 2</xref> shows the schematic diagram of a representative basin as considered by <xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref> in this derivation.<disp-formula id="e9">
<mml:math id="m32">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>.</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.05</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mn>1</mml:mn>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where, <inline-formula id="inf24">
<mml:math id="m35">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the residence time of reservoir areas of <italic>j</italic>
<sup>
<italic>th</italic>
</sup> <italic>regulated sub-basin of the basin</italic> (<italic>j is A, B, and C here),</italic> <inline-formula id="inf25">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the operational volume of <italic>i</italic>
<sup>
<italic>th</italic>
</sup> reservoir in <italic>j,</italic> <inline-formula id="inf26">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the discharge at regulated sub-basin <italic>j</italic>, <inline-formula id="inf27">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is approximated trapping efficiencies of <italic>j</italic>
<sup>
<italic>th</italic>
</sup> sub-basin, <inline-formula id="inf28">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the discharge-weighted trapping efficiency of the basin based on discharge, <inline-formula id="inf29">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is discharge at the basin outlet, n is the number of reservoirs in each regulated sub-basin <italic>j,</italic> and m is the number of regulated sub-basins in the basin</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref>&#x2019;s representation of a basin for estimating basin-wide sediment trapping for large reservoirs. Source - <xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref>. <bold>(A&#x2013;C)</bold> are sub-basins. </p>
</caption>
<graphic xlink:href="feart-10-978109-g002.tif"/>
</fig>
<p>For the Irrawaddy RB, different <inline-formula id="inf30">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values were calculated for each General Circulation Model (GCM) under RCP 2.6 and RCP 8.5 for the two future periods considered (i.e., 2046&#x2013;2065 (mid-century) and 2081&#x2013;2100 (end-century)). Since there are no planned reservoirs for the Kalu basin, reservoir effects are not considered in the fluvial sediment load estimations. Furthermore, a zero trapping efficiency was considered while implementing the BQART model for both river basins to explicitly represent the climate-driven impacts on fluvial sediment supply. The calculation of <inline-formula id="inf31">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="e11">Eq. 11</xref>) is based on the volume of reservoirs, discharge from reservoirs, and discharge at the basin outlet. Based on three GCMs and two RCPs, the average basin-wide trapping efficiency (<inline-formula id="inf32">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) of the Irrawaddy RB was computed as 42%. The river basin and reservoir data used by <xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al. (2003)</xref> include some Asian River Basins, including Mekong (0%&#x2013;20%), Chao-Pharya (20%&#x2013;40%), Ganges and Brahmaputra (0%&#x2013;20%), Krishna (80%&#x2013;100%), Yangetz Basin (60%&#x2013;80%), and Indus (40%&#x2013;60%). The number of large reservoirs within each basin varies from 3&#x2013;20. Furthermore, large reservoirs (633) and small reservoirs (&#x3e;40,000) in the world contribute 30% and 23% of sediment trapping, respectively (<xref ref-type="bibr" rid="B48">V&#xf6;r&#xf6;smarty et al., 2003</xref>). Considering this wide range of computed trapping efficiencies, the above calculated <inline-formula id="inf33">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the Irrawaddy RB appears to be reasonable.</p>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> summarizes the input parameters of the BQART model. The river discharge (Q) values were obtained from the SWAT simulation results presented in <xref ref-type="bibr" rid="B39">Sirisena, 2020</xref>; <xref ref-type="bibr" rid="B37">Sirisena et al., 2021a</xref>; <xref ref-type="bibr" rid="B36">Sirisena et al., 2021b</xref> over the baseline and mid-and end-century periods for RCP 2.6 and RCP 8.5. The mean temperature (<italic>T</italic>) over the basins was obtained from the three selected GCMs/RCMs (discussed in <xref ref-type="bibr" rid="B37">Sirisena et al., 2021a</xref>; <xref ref-type="bibr" rid="B36">Sirisena et al., 2021b</xref> for the same RCPs. The human-induced erosion factor (<inline-formula id="inf34">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:math>
</inline-formula> in <xref ref-type="disp-formula" rid="e7">Eq. 7</xref> is based on land use, socio-economic situation, and population density. The suggested optimum range of <inline-formula id="inf35">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is 0.3 &#x2264; <inline-formula id="inf36">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2264; 2.0 (<xref ref-type="bibr" rid="B43">Syvitski and Milliman, 2007</xref>). Similar to the assumption made for the land-use change in SWAT simulations, for future simulations with the BQART model, the human-induced erosion factor (<inline-formula id="inf37">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) is assumed to remain constant throughout the 21st century (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of model input parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">Irrawaddy basin</th>
<th align="left">Kalu basin</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Lithology factor (<italic>L</italic>)<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left">1.0</td>
<td align="left">0.5</td>
</tr>
<tr>
<td align="left">Sediment Trapping <inline-formula id="inf38">
<mml:math id="m49">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.42<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="left">0</td>
</tr>
<tr>
<td align="left">Human-induced erosion factor (<inline-formula id="inf39">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) <xref ref-type="table-fn" rid="Tfn3">c</xref>
</td>
<td align="left">1</td>
<td align="left">2</td>
</tr>
<tr>
<td align="left">Area (<italic>A</italic> in km<sup>2</sup>)</td>
<td align="left">371,558</td>
<td align="left">2,787</td>
</tr>
<tr>
<td align="left">Relief of the basin (<italic>R</italic> in km)</td>
<td align="left">5.7</td>
<td align="left">2.25</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>obtained from <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref>.</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>indicates the average basin-wide trapping (TE) for the entire Irrawaddy basin obtained from different GCMs (CSIRO Mk3.6, HadGEM2-AO, and HadGEM2-ES), RCPs (RCP 2.6 and RCP 8.5), and two periods (2046&#x2013;2065 and 2081&#x2013;2100), but this value changes for each case (depending on GCM, RCP and periods considered).</p>
</fn>
<fn id="Tfn3">
<label>
<sup>c</sup>
</label>
<p>
<inline-formula id="inf40">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the current condition obtained from <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Irrawaddy River Basin</title>
<sec id="s3-1-1">
<title>3.1.1 Annual sediment fluxes to the coast simulated by BQART</title>
<p>BQART projected sediment loads at the basin outlet under different scenarios are presented in <xref ref-type="fig" rid="F3">Figure 3</xref> (Panel 1). The projected mean annual sediment loads for RCP 8.5 are higher than that of RCP 2.6 during both future periods considered. Sediment supply to the coast is projected to increase by 29%&#x2013;41% (relative to the baseline period: 1991&#x2013;2005) by the end-century (2081&#x2013;2100) when the future changes are only due to climate change (RCP 8.5). In comparison, fluvial sediment supply is projected to decrease by 19%&#x2013;24% due to the combined effect of climate change (RCP 8.5) and reservoirs during 2081&#x2013;2100. The BQART projected sediment load varies between 319 and 356&#xa0;MT/yr and between 326 and 412&#xa0;MT/yr during mid-and end-century periods, respectively, under the assumed zero trapping condition (i.e., no reservoirs). These values are projected to reduce to 179&#x2013;210&#xa0;MT/yr and 189&#x2013;247&#xa0;MT/yr for the same two periods, respectively, when the reservoirs are considered (with basin-wide trapping efficiencies, see Methods). Due to the combined effects of climate change and reservoirs, the average reduction of sediment supply is about 41% for both future periods relative to that due to climate change alone. Therefore, it is evident that the basin-wide trapping <inline-formula id="inf41">
<mml:math id="m52">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> is the main influencing factor (<inline-formula id="inf42">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.42; <xref ref-type="table" rid="T1">Table 1</xref>) for this reduction.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Comparison of the mean annual sediment projections (Millions Tons (MT)) at the Irrawaddy basin outlet obtained from SWAT and BQART. Panel 1 shows the estimates of sediment loads for the baseline period (1991&#x2013;2005) and Panel 2 shows two future periods (2046-2065 and 2081&#x2013;2100) under two RCPs (RCP 2.6 <bold>(A,B)</bold> and 8.5 <bold>(C,D)</bold>, respectively. The shaded area in Panel 2 represents the results under CC &#x2b; Reservoirs scenario.</p>
</caption>
<graphic xlink:href="feart-10-978109-g003.tif"/>
</fig>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Comparison of SWAT and BQART projected sediment loads: The Irrawaddy basin outlet</title>
<p>The SWAT model setup and sediment load projections at the IRB are described in detail in <xref ref-type="bibr" rid="B38">Sirisena et al. (2018)</xref> and <xref ref-type="bibr" rid="B37">Sirisena et al. (2021b)</xref>. Therefore, only a summary is presented in Methods. The SWAT-derived baseline period and future projections of sediment loads at the Irrawaddy RB outlet are consistently higher than that obtained from BQART for all three GCMs considered (<xref ref-type="fig" rid="F3">Figure 3</xref>). For the baseline period (1991&#x2013;2005), simulated mean sediment loads from SWAT and BQART are 365&#x2013;388&#xa0;MT/yr and 290&#x2013;307&#xa0;MT/yr, respectively (<xref ref-type="fig" rid="F3">Figure 3</xref>-Panel 1). These simulated values are obtained for three GCMs (<italic>viz.</italic>, CSIRO Mk3.6, HadGEM2-AO, and HadGEM2-ES). The BQART-derived sediment load values for the baseline period are 17%&#x2013;23% lower than those derived from SWAT for the same period. <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> have calculated the average sediment yield in the Irrawaddy RB as 258.6&#xa0;MT/yr with input parameters of <italic>Q</italic> &#x3d; 13,560&#xa0;m<sup>3</sup>/s, <italic>A</italic> &#x3d; 405,963&#xa0;km<sup>2</sup>, <italic>R</italic> &#x3d; 4.8&#xa0;km, and <italic>T</italic> &#x3d; 22&#xb0;C based on previous studies by <xref ref-type="bibr" rid="B21">Milliman and Meade (1983)</xref>, <xref ref-type="bibr" rid="B22">Milliman and Syvitski (1992)</xref>, and <xref ref-type="bibr" rid="B45">Syvitski (2003)</xref>, which is not too different from the BQART prediction obtained here, considering the level of aggregation in the model.</p>
<p>During the mid-century period (2046&#x2013;2065, <xref ref-type="fig" rid="F3">Figure 3A</xref>-Panel 2, the BQART projections are 13%&#x2013;30% and 48%&#x2013;57% lower than the SWAT projections under RCP 2.6 without and with reservoirs, respectively. Those values under RCP 8.5 are 12%&#x2013;28% and 46%&#x2013;56% for without and with reservoirs, respectively (<xref ref-type="fig" rid="F3">Figure 3C</xref>-Panel 2). Similarly, during the end-century period, BQART projections are 23%&#x2013;29% and 54%&#x2013;57% lower than the SWAT projections under RCP 2.6 for simulations without and with reservoirs, respectively (<xref ref-type="fig" rid="F3">Figure 3B</xref>-Panel 2). Under RCP 8.5, those BQART projections are 15%&#x2013;33% (without reservoirs) and 49%&#x2013;59% (with reservoirs) lower than SWAT projections (<xref ref-type="fig" rid="F3">Figure 3D</xref>-Panel 2).</p>
<p>In general, BQART projections show smaller increments with climate change only and a higher reduction of sediment loads with reservoirs (relative to the baseline period) compared to the corresponding SWAT-derived projections, except for the SWAT simulation driven by CSIRO Mk3.6 (<xref ref-type="fig" rid="F4">Figure 4</xref>). With climate change alone, during the mid-century period, SWAT and BQART model projections indicate changes in sediment load by -5%&#x2013;31% and 7%&#x2013;10% under RCP 2.6, respectively (compared to the baseline period, <xref ref-type="fig" rid="F4">Figure 4A</xref>). The same projections under RCP 8.5 are -1%&#x2013;36% (with SWAT) and 13%&#x2013;23% (with BQART) (<xref ref-type="fig" rid="F4">Figure 4C</xref>). Similarly, SWAT and BQART model projections indicate increases in sediment load by 14%&#x2013;25% and 9%&#x2013;13% under RCP 2.6, respectively, during the end-century period (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Under RCP 8.5 for the same period (<xref ref-type="fig" rid="F4">Figure 4D</xref>), SWAT and BQART projections show increments of 17%&#x2013;66% and 29%&#x2013;41%, respectively. In contrast, with planned reservoirs, under RCP 2.6, BQART projects sediment load reductions of 35%&#x2013;40% and 35%&#x2013;38% during mid-and end-century periods, respectively (compared to the baseline period). The same BQART projections under RCP 8.5 are 27%&#x2013;34% (mid-century) and 19%&#x2013;24% (end-century). On the contrary, SWAT projections indicate increases of sediment loads by -10%&#x2013;25% (mid-century) and 9%&#x2013;20% (end-century) under RCP 2.6. Similarly, under RCP8.5, the SWAT simulations indicate -6%&#x2013;31% (mid-century) and 9%&#x2013;20% (end-century) variations in sediment loads supplied to the coast. Such directional changes in the projections obtained from the two models are a serious cause for concern, especially when used in reduced complexity modelling approaches to assess future coastline variations.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Comparison of the relative changes in mean annual sediment projections under RCP 2.6 <bold>(A, B)</bold> and RCP 8.5 <bold>(C, D)</bold> for future periods (2046&#x2013;2065 and 2081&#x2013;2100) compared to the baseline period model estimates at the Irrawaddy basin outlet using SWAT and BQART. The shaded area in each plot represents results under CC &#x2b; Reservoirs scenario. The positive changes (&#x2b;%) mean that the sediment load is projected to increase in the future compared to the baseline period, while negative changes (- %) mean that the sediment load is projected to decrease.</p>
</caption>
<graphic xlink:href="feart-10-978109-g004.tif"/>
</fig>
<p>There could be several reasons for these significant mismatches between the two models. BQART uses the mean annual streamflow and thus does not differentiate the inter-annual variability in sediment load. On the other hand, SWAT simulates daily time steps, thus accounting for both high and low flow conditions. SWAT simulations provide the total sediment load at the basin outlet for a given year. It is based on the sediment erosion within the basin and sediment routing through the river reaches. Another distinction between SWAT and BQART is in the use of temperature data. BQART computes the sediment load as a linear function of the basin&#x2019;s mean annual temperature. Furthermore, the mean annual temperatures used in BQART are not bias-corrected, and these raw GCM temperature projections may underestimate the basin-wide temperature (see Materials and methods section). All these factors may have contributed to the lower sediment load estimates given by BQART. A significant difference (up to 53%) in sediment load projections obtained from the two models can be seen in simulations that account for planned reservoirs. Such differences may have occurred due to the estimated basin-wide trapping efficiency used in BQART as opposed to reservoir-specific TEs used in SWAT. Based on the calculated basin-wide trapping efficiency, approximately 42% of the sediment load is expected to be trapped by the reservoirs. However, no records are available to verify this value for the Irrawaddy basin.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Kalu river basin</title>
<sec id="s3-2-1">
<title>3.2.1 Comparison of SWAT and BQART projected sediment loads: The Kalu basin outlet</title>
<p>Detailed descriptions of the SWAT model setup and simulated sediment load projections at the KRB are presented in <xref ref-type="bibr" rid="B39">Sirisena (2020)</xref> and <xref ref-type="bibr" rid="B36">Sirisena et al. (2021a)</xref>. A comparison of the above BQART projections with the results obtained using SWAT (under the same conditions) is shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. Here, the BQART projections of sediment load at the basin outlet are up to an order of magnitude larger than that of the SWAT simulation results. For the baseline period (<xref ref-type="fig" rid="F5">Figure 5</xref>-Panel 1), SWAT and BQART respectively simulate 0.63&#x2013;0.66&#xa0;MT/yr and 2.72&#x2013;2.75&#xa0;MT/yr of sediment load with inputs from 3 RegCM4 RCMs. During the end-century period, the BQART model projections are 234%&#x2013;281% and 116%&#x2013;145% higher than the SWAT simulations for RCP 2.6 and RCP 8.5, respectively (<xref ref-type="fig" rid="F5">Figure 5B&#x2013;D</xref>-Panel 2).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison of the mean annual sediment projections (Million tons (MT)) at the Kalu basin outlet obtained from SWAT and BQART. Panel 1 shows the estimated sediment loads for the baseline period (1991&#x2013;2005) and Panel 2 shows two future periods (2046&#x2013;2065 and 2081&#x2013;2099) under two RCPs (RCP 2.6 <bold>(A,B)</bold> and RCP 8.5 <bold>(C,D)</bold>, respectively.</p>
</caption>
<graphic xlink:href="feart-10-978109-g005.tif"/>
</fig>
<p>In general, during both future periods, the SWAT simulations show higher increments of sediment loads under both RCPs (<xref ref-type="fig" rid="F6">Figure 6</xref>). For example, during the end-century period, SWAT and BQART project increased sediment load by 20%&#x2013;32% and 3%&#x2013;6% under RCP 2.6, respectively. For RCP 8.5, the SWAT and BQART projected increases in sediment loads are 128%&#x2013;158% and 30%&#x2013;35%, respectively. All these changes are calculated relative to the baseline period simulations of the respective models. Less increment in sediment load projections by BQART (compared to SWAT projections) relative to the baseline period is likely due to its low sensitivity to streamflow. In BQART model, the streamflow is associated with a power of 0.31. Thus, for example, a 10 times increase in streamflow will only result in &#x223c;2 times increase in sediment load projection with the BQART model. Here, streamflow is projected to increase by 67%&#x2013;87% under RCP 8.5 by the end century. However, such significant increases in streamflow will have considerable implications on increasing the SWAT projected sediment loads.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Comparison of the relative changes of mean annual sediment projections under RCP 2.6 <bold>(A, B)</bold> and RCP 8.5 <bold>(C, D)</bold> for future periods (2046&#x2013;2065 and 2081&#x2013;2099) compared to the baseline period model estimates at the Kalu basin outlet using SWAT and BQART. The positive changes (&#x2b;%) mean that sediment load is projected to increase in the future compared to the baseline period.</p>
</caption>
<graphic xlink:href="feart-10-978109-g006.tif"/>
</fig>
<p>One explanation for the significant differences between the sediment loads projected by the two models could be the use of the aggregated quantity human-induced erosion factor <inline-formula id="inf43">
<mml:math id="m54">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> in BQART. This factor is based on countrywide GNP/capita (Gross Net Product <italic>per capita</italic>) and population density. Hence using the value for all of Sri Lanka, by following <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref>, an <inline-formula id="inf44">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of 2.0 was used in the calculations for the Kalu River Basin. However, as the Kalu River Basin contains large areas of forest reserves and settlements of low-income communities, this <inline-formula id="inf45">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value is likely to be a different value.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 BQART projections with updated <italic>E</italic>
<sub>
<italic>h</italic>
</sub> values</title>
<p>The parameter &#x2018;B&#x2019; in the BQART represents the geology and human activities in the basin. The human-induced erosion factor (<inline-formula id="inf46">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:math>
</inline-formula> is one of the main influencing factors and is linearly correlated with B and consequently with the fluvial sediment load computed by BQART; <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> have derived the <inline-formula id="inf47">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> factor based on land use, socio-economic situation and population. However, recent studies by <xref ref-type="bibr" rid="B2">Balthazar et al. (2013)</xref>; <xref ref-type="bibr" rid="B4">Bamunawala et al., 2020b</xref>; <xref ref-type="bibr" rid="B3">Bamunawala et al., 2020a</xref>; <xref ref-type="bibr" rid="B6">Bamunawala et al., 2021</xref> have shown that the human footprint index (HFPI) presented by <xref ref-type="bibr" rid="B50">Wildlife Conservation Society-WCS and Center for International Earth Science Information Network-CIESIN-Columbia University (2005)</xref> can be a better representation of the anthropogenic influences on fluvial sediment load estimation <italic>via</italic> BQART. The HFPI was developed based on several global datasets, including population, urban areas, land use, navigable waterways, roads, and electrical infrastructure (<xref ref-type="bibr" rid="B35">Sanderson et al., 2002</xref>).</p>
<p>As a further test of SWAT and BQART projected fluvial sediment loads, the BQART projections were re-calculated with the updated <inline-formula id="inf48">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (using HFPI) and re-compared with the corresponding SWAT projections. To do this, HFPI values, which range from 0&#x2013;100, need to be rescaled to the global range of <inline-formula id="inf49">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (0.3 &#x2264; <inline-formula id="inf50">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2264; 2.0) estimated by <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> for use in the BQART. HFPI values across the Irrawaddy and Kalu River Basins were obtained from 0.25&#xb0; &#xd7; 0.25&#xb0; resolution data (<xref ref-type="bibr" rid="B50">Wildlife Conservation Society-WCS and Center for International Earth Science Information Network-CIESIN-Columbia University, 2005</xref>) and rescaled accordingly. Subsequently, the basin average rescaled HFPI values were used with BQART to re-compute the fluvial sediment load at the outlets of the two basins. The comparison of projected sediment loads from SWAT and BQART (with the two different <inline-formula id="inf51">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> factors; one derived from HFPI and one following <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> with climate change only (i.e., no reservoirs) is shown in <xref ref-type="table" rid="T2">Table 2</xref>. With the HFPI-based <inline-formula id="inf52">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, BQART projects lower sediment loads in both basins than its previous estimations. This is because the HFPI-based human-induced erosion factors <inline-formula id="inf53">
<mml:math id="m64">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> for the two basin areas are almost half the <inline-formula id="inf54">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values suggested by <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Projected average annual sediment loads in Million tons per year (MT/yr) for the Irrawaddy and Kalu basins under RCP 2.6 and RCP 8.5, without reservoirs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">GCM/RCM inputs</th>
<th rowspan="3" align="center">RCP</th>
<th colspan="3" align="center">Mid-Century</th>
<th colspan="3" align="center">End-Century</th>
</tr>
<tr>
<th colspan="3" align="center">Sediment load (MT/yr)</th>
<th colspan="3" align="center">Sediment load (MT/yr)</th>
</tr>
<tr>
<th align="center">A</th>
<th align="center">B</th>
<th align="center">C</th>
<th align="center">A</th>
<th align="center">B</th>
<th align="center">C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="8" align="center">Irrawaddy River Basin</td>
</tr>
<tr>
<td rowspan="2" align="center">CSIRO Mk3.6</td>
<td align="center">RCP 2.6</td>
<td align="center">370</td>
<td align="center">323</td>
<td align="center">207</td>
<td align="center">443</td>
<td align="center">341</td>
<td align="center">218</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">386</td>
<td align="center">341</td>
<td align="center">218</td>
<td align="center">454</td>
<td align="center">386</td>
<td align="center">247</td>
</tr>
<tr>
<td rowspan="2" align="center">HadGEM2-AO</td>
<td align="center">RCP 2.6</td>
<td align="center">483</td>
<td align="center">337</td>
<td align="center">215</td>
<td align="center">461</td>
<td align="center">334</td>
<td align="center">214</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">455</td>
<td align="center">352</td>
<td align="center">225</td>
<td align="center">618</td>
<td align="center">412</td>
<td align="center">264</td>
</tr>
<tr>
<td rowspan="2" align="center">HadGEM2-ES</td>
<td align="center">RCP 2.6</td>
<td align="center">397</td>
<td align="center">319</td>
<td align="center">204</td>
<td align="center">458</td>
<td align="center">326</td>
<td align="center">209</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">495</td>
<td align="center">356</td>
<td align="center">228</td>
<td align="center">572</td>
<td align="center">409</td>
<td align="center">262</td>
</tr>
<tr>
<td colspan="8" align="center">Kalu River Basin</td>
</tr>
<tr>
<td rowspan="2" align="center">MIROC5</td>
<td align="center">RCP 2.6</td>
<td align="center">0.76</td>
<td align="center">2.92</td>
<td align="center">1.36</td>
<td align="center">0.76</td>
<td align="center">2.90</td>
<td align="center">1.35</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">0.88</td>
<td align="center">3.04</td>
<td align="center">1.41</td>
<td align="center">1.45</td>
<td align="center">3.54</td>
<td align="center">1.65</td>
</tr>
<tr>
<td rowspan="2" align="center">MPI-ESM-MR</td>
<td align="center">RCP 2.6</td>
<td align="center">0.77</td>
<td align="center">2.81</td>
<td align="center">1.31</td>
<td align="center">0.87</td>
<td align="center">2.89</td>
<td align="center">1.35</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">0.97</td>
<td align="center">3.06</td>
<td align="center">1.42</td>
<td align="center">1.69</td>
<td align="center">3.66</td>
<td align="center">1.70</td>
</tr>
<tr>
<td rowspan="2" align="center">NORESM1-M</td>
<td align="center">RCP 2.6</td>
<td align="center">0.71</td>
<td align="center">2.81</td>
<td align="center">1.31</td>
<td align="center">0.79</td>
<td align="center">2.83</td>
<td align="center">1.32</td>
</tr>
<tr>
<td align="center">RCP 8.5</td>
<td align="center">0.80</td>
<td align="center">2.94</td>
<td align="center">1.37</td>
<td align="center">1.61</td>
<td align="center">3.65</td>
<td align="center">1.70</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>A: Estimated load from SWAT simulations (shaded values), B: Estimated load from BQART with human-induced erosion factor; <inline-formula id="inf55">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1 for the Irrawaddy Basin and <inline-formula id="inf56">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 2 for the Kalu Basin obtained from Figure 7 in <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref> and C: Estimated load from BQART with human-induced erosion factor <inline-formula id="inf57">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.64 for the Irrawaddy Basin and <inline-formula id="inf58">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.93 for the Kalu Basin obtained from the human footprint index. SWAT results for both basins are from simulations with the calibrated parameter set presented in <xref ref-type="bibr" rid="B39">Sirisena (2020)</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-4">
<title>3.4 Comparison of the modelled results in the two basins</title>
<p>The sediment load projections by SWAT and BQART are different in the two river basins. In Irrawaddy RB, SWAT simulations project a higher sediment load than those predicted by BQART and <italic>vice versa</italic> in the Kalu RB. For example, when using the human-induced erosion factor (<inline-formula id="inf59">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) obtained from <xref ref-type="bibr" rid="B43">Syvitski and Milliman (2007)</xref>, for the baseline period (1991&#x2013;2005), simulated sediment loads by the models differ by 18%&#x2013;22% in the Irrawaddy RB and 315%&#x2013;331% in the Kalu RB. During the end-century period under RCP 8.5, those differences in projected sediment loads are 15%&#x2013;33% in the Irrawaddy RB and 116%&#x2013;145% in the Kalu RB. During the same period and under the same RCP, the projected sediment supply is further reduced in the Irrawaddy RB due to the proposed reservoirs. Therefore, the difference in sediment loads between BQART and SWAT projections is 48%&#x2013;59%. Compared to the baseline period (1991&#x2013;2005) model estimations, BQART projections generally show lower increments than SWAT projected increments in the Irrawaddy and Kalu River Basins when the reservoirs are not considered (i.e., climate change only).</p>
<p>When adopting the human-induced erosion factor (<inline-formula id="inf60">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) derived from the human footprint index (HFPI), the baseline period (1991&#x2013;2005) projected sediment loads by BQART and SWAT differ by 46%&#x2013;50% and 93%&#x2013;101% in the Irrawaddy RB and the Kalu RB, respectively. For the end-century period under RCP 8.5, those differences in the sediment load projections are 70%&#x2013;72% and 1%&#x2013;14% in the Irrawaddy RB and the Kalu RB, respectively.</p>
<p>BQART does not provide information on sediment erosion, transport, and deposition in the flood plains, as it only estimates the sediment delivery rate at/near sea level of the basin outlet (<xref ref-type="bibr" rid="B43">Syvitski and Milliman, 2007</xref>). The empirical BQART equation is developed based on 488 global river datasets comprising catchments sizes spanning a large range (160&#xa0;km<sup>2</sup>&#x2013;5,853,804&#xa0;km<sup>2</sup>) with high accuracy in calibration (<italic>R</italic>
<sup>2</sup> &#x3d; 0.96 for 292 basins) and validation (<italic>R</italic>
<sup>2</sup> &#x3d; 0.94 for 196 basins) (<xref ref-type="bibr" rid="B43">Syvitski and Milliman, 2007</xref>). However, an analysis by <xref ref-type="bibr" rid="B12">De Vente et al. (2013)</xref> summarized that non-linear regression models like BQART might provide more accurate results than distributed models such as SWAT would for sediment yield in basins larger than 10,000&#xa0;km<sup>2</sup>. Nevertheless, a study of the Blue Nile and Atbara river systems showed that a global flux model such as BQART is less suited for capturing highly spatially varied sediment yields ranging from thousands of ton/km<sup>2</sup>/year in a basin (<xref ref-type="bibr" rid="B2">Balthazar et al., 2013</xref>). Although, spatially distributed models such as SWAT demand more input data and high calibration efforts they are more suitable for assessing environmental change scenarios such as those due to climate change, land use, and management practices (<xref ref-type="bibr" rid="B23">Neitsch et al., 2011</xref>). Therefore, both models have their advantages and disadvantages in sediment load estimation for a selected region under diverse environmental and geographical conditions.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>This study aimed to estimate fluvial sediment supply to the coast using a distributed process-based model (SWAT) and an empirical lumped model (BQART) in the Irrawaddy River (Myanmar) and Kalu River (Sri Lanka) Basins. Similar to the SWAT simulations described in <xref ref-type="bibr" rid="B39">Sirisena (2020)</xref>, the BQART simulations were undertaken with and without reservoirs over the two future periods considered (i.e., 2046&#x2013;2065 and 2081&#x2013;2100) for the RCP 2.6 and 8.5.</p>
<p>Our results show significant differences between the sediment loads projected by the two models in the two basins. In the Irrawaddy River Basin, SWAT simulations project higher sediment loads than BQART. In contrast, SWAT simulations project lower sediment loads than BQART projections in the Kalu River Basin. For both future periods, relative to the baseline period (1991&#x2013;2005), BQART-derived projections show lower future increases than SWAT in both basins with climate change alone (i.e., no reservoirs). Our results also indicate that empirical BQART model-based projections are more in line with the semi-distributed SWAT model-based projections in the larger Irrawaddy RB than in the smaller Kalu RB.</p>
<p>Both SWAT and BQART model projections possess considerable variabilities due to the inherent uncertainties in projected future climatic inputs (i.e., precipitation and temperature) and other variables such as human-induced erosion factor and model calibration parameters. An aggregated global model such as the BQART does not always guarantee equally good results in all regions, as it is not explicitly calibrated for individual study regions. SWAT, as a standard practice, is calibrated to the specific basin, thus, the quality of SWAT model results also depends on the quality/quantity of data available for calibration. On the other hand, reservoir simulation with SWAT requires detailed information, such as operational capacity, high flood level, operation rules/practices, and sediment data. In practice, some of these reservoir-specific information/data are often unavailable, and approximations are commonly used. Thus, both model approaches adopt certain approximations, adding to the uncertainty of the projected sediment loads.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors without undue reservation Requests to access these datasets should be directed to TS, <email>jeewanthisri@gmail.com</email>.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>TS carried out the design, model simulations, and drafting of the manuscript. JB assisted with GCM data collection and analysis and collection of BQART parameters. SM and RR guided the methodology development. All authors provided feedback on the manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This study is a part of TS&#x2019;s research, supported by the EPP Myanmar project and Netherlands Fellowship Programme (NFP).</p>
</sec>
<ack>
<p>TS is supported by the EPP Myanmar project and Netherlands Fellowship Programme (NFP). RR is supported by the AXA Research Fund and the Deltares Strategic Research Programme &#x2018;Coastal and Offshore Engineering&#x2019;. Last of the Wild Project, Global Human Footprint, Version 2 data were developed by the Wildlife Conservation Society&#x2014;WCS and the Center for International Earth Science Information Network (CIESIN), Columbia University and were obtained from the NASA Socioeconomic Data and Applications Center (SEDAC) at <ext-link ext-link-type="uri" xlink:href="http://dx.doi.org/10.7927/H4M61H5F">http://dx.doi.org/10.7927/H4M61H5F</ext-link>. Accessed 1 November 2018.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<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 sec-type="disclaimer" id="s9">
<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>
</sec>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/feart.2022.978109/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.978109/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.DOCX" id="SM1" mimetype="application/DOCX" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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