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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Water</journal-id>
<journal-title>Frontiers in Water</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Water</abbrev-journal-title>
<issn pub-type="epub">2624-9375</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frwa.2024.1220540</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Water</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>What drives changes in surface water salinity in coastal Bangladesh?</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Haq</surname> <given-names>Md Izazul</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>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1510255/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Shamsudduha</surname> <given-names>Mohammad</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1012880/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zahid</surname> <given-names>Anwar</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1022219/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ahmed</surname> <given-names>Kazi Matin</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/87901/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kamal</surname> <given-names>A. S. M. Maksud</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Taylor</surname> <given-names>Richard G.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/975399/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Geography, University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Disaster Science and Climate Resilience, University of Dhaka</institution>, <addr-line>Dhaka</addr-line>, <country>Bangladesh</country></aff>
<aff id="aff3"><sup>3</sup><institution>Institute for Risk and Disaster Reduction, University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff4"><sup>4</sup><institution>Ground Water Hydrology, Bangladesh Water Development Board</institution>, <addr-line>Dhaka</addr-line>, <country>Bangladesh</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Geology, University of Dhaka</institution>, <addr-line>Dhaka</addr-line>, <country>Bangladesh</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Marc Leblanc, University of Avignon, France</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Venkatramanan Senapathi, National College, Tiruchirappalli, India</p>
<p>Lucy Bricheno, University of Southampton, United Kingdom</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Md Izazul Haq, <email>md.haq.17@ucl.ac.uk</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>6</volume>
<elocation-id>1220540</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Haq, Shamsudduha, Zahid, Ahmed, Kamal and Taylor.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Haq, Shamsudduha, Zahid, Ahmed, Kamal and Taylor</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>The salinisation of freshwater resources is a priority concern in Asian mega-deltas including the Bengal Basin of Bangladesh where the livelihoods, ecosystem services and health of coastal populations are increasingly under threat. Understanding trends and variations in surface water salinity is required to inform sustainable use of freshwater supplies in the face of hydrological regimes intensified by global environmental change. We interrogate 86 time series of fortnightly records of <italic>in situ</italic> surface water salinity between 1990 and 2019. Statistical and geospatial techniques were employed to characterise spatiotemporal distributions and trends in surface water salinity and identify key drivers of change in the coastal region of Bangladesh. The observed spatiotemporal structure in surface water salinity is primarily controlled by the magnitude and seasonality of river discharge entering the delta. In the moribund delta north of the Sundarbans, the contour between fresh and brackish water migrates seasonally between ~20 and ~40&#x2009;km northward during the dry season. Abrupt increases in surface water salinity are observed throughout the coastal region in response to variations in upstream river discharge; the prominence of these events highlights their importance in driving salinity increases. Areas which are better connected to more voluminous seasonal river discharge (active delta), show greater recovery to these episodic inundations by cyclones than those less-well flushed by river discharge (moribund delta). Our reported observations provide a baseline for understanding the consequences of global environmental change and informing more climate-resilient adaptation strategies in coastal environments of Bangladesh and other Asian mega-deltas.</p>
</abstract>
<kwd-group>
<kwd>salinity</kwd>
<kwd>surface water</kwd>
<kwd>coastal</kwd>
<kwd>mega-deltas</kwd>
<kwd>global change</kwd>
<kwd>river discharge</kwd>
<kwd>tropical cyclones</kwd>
<kwd>sea level rise</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="69"/>
<page-count count="19"/>
<word-count count="11256"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Water and Climate</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Under global environmental change, the salinisation of freshwater resources in coastal environments threatens the livelihoods and health of resident populations and the ecosystems upon which they depend (<xref ref-type="bibr" rid="ref60">Vineis et al., 2011</xref>; <xref ref-type="bibr" rid="ref19">Dasgupta et al., 2015</xref>; <xref ref-type="bibr" rid="ref63">Wilson, 2017</xref>; <xref ref-type="bibr" rid="ref16">Chen and Mueller, 2018</xref>; <xref ref-type="bibr" rid="ref31">Mahtab and Zahid, 2018</xref>; <xref ref-type="bibr" rid="ref36">Naser et al., 2019</xref>; <xref ref-type="bibr" rid="ref37">Ostrowski et al., 2021</xref>; <xref ref-type="bibr" rid="ref9">Barbour et al., 2022</xref>). It is estimated that globally the salinisation of freshwater and soils affects 500 million people, most conspicuously in riverine deltas (<xref ref-type="bibr" rid="ref43">Rahman et al., 2019</xref>). Chronic consumption of brackish water increases the incidence of hypertension (<xref ref-type="bibr" rid="ref43">Rahman et al., 2019</xref>; <xref ref-type="bibr" rid="ref29">Khan et al., 2020</xref>) as well as pre-eclampsia and eclampsia (<xref ref-type="bibr" rid="ref41">Pinchoff et al., 2019</xref>) in affected communities. In coastal environments, salinisation is a more prominent driver of human migration than inundation (<xref ref-type="bibr" rid="ref16">Chen and Mueller, 2018</xref>).</p>
<p>Previous research in low-lying Asian mega-deltas (<xref ref-type="fig" rid="fig1">Figure 1</xref>) has suggested a range of factors influencing the salinity of surface waters and groundwater (<xref ref-type="bibr" rid="ref64">Yu et al., 2010</xref>; <xref ref-type="bibr" rid="ref46">Salehin et al., 2018</xref>; <xref ref-type="bibr" rid="ref3">Akter et al., 2019</xref>; <xref ref-type="bibr" rid="ref2">Akter et al., 2020</xref>; <xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>; <xref ref-type="bibr" rid="ref42">Raff et al., 2023</xref>). These include: (i) changes in the magnitude and seasonality of upstream river discharge and sediment deposition; (ii) subsidence, sea-level rise (SLR) and seasonal tidal fluctuations; and (iii) the intensity and frequency of tropical cyclones and storm surges. In the Bengal Basin of Bangladesh, surface water salinity regimes are also locally influenced by land-use change and human interventions such as coastal embankments known locally as &#x201C;polders,&#x201D; shrimp farming, and dry-season irrigation from surface waters and wells (<xref ref-type="bibr" rid="ref8">Ayers et al., 2017</xref>; <xref ref-type="bibr" rid="ref27">Islam et al., 2019</xref>; <xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>). The complex interplay of these different factors makes it challenging to identify the primary drivers of saltwater intrusion over large, complex low-lying deltaic systems (<xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p><bold>(A)</bold> Location of Bengal Basin with locations of other Asian mega-deltas (dotted boundaries) superimposed on trends in sea level from AVISO (Archiving, Validation and Interpretation of Satellite Oceanographic, <ext-link xlink:href="https://www.aviso.altimetry.fr/en/data.html" ext-link-type="uri">https://www.aviso.altimetry.fr/en/data.html</ext-link>). <bold>(B)</bold> GBM river basin elevation and drainage network based on NASA&#x2019;s Shuttle Radar Topography Mission (SRTM) elevation data; yellow dot denotes the location of the Farakka barrage in India.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g001.tif"/>
</fig>
<p>Previous research in the Bengal Basin drawing from observations and models has yielded insight into the drivers of spatiotemporal changes in salinity in the coastal region of Bangladesh. Reductions in the discharge of the transboundary River Ganges (Padma), especially during the dry season, have lowered flows from its main distributary (River Gorai) to the southwestern coastal region; these are thought to have, in turn, amplified the intrusion of salinity from the Bay of Bengal (<xref ref-type="bibr" rid="ref18">Dasgupta et al., 2014</xref>; <xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>). Dry-season reductions in river discharge exacerbating the intrusion of salinity are also thought to result from freshwater withdrawals for irrigation either directly from surface water or as a consequence of groundwater use through freshwater capture (<xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>). Seasonal variations in surface water salinity across the coastal region of Bangladesh are thought to arise from the combined influences of monsoonal riverine flow and sea-surface height (<xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>). Interannual variability in surface water salinity across the coastal region remains unclear (<xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>); year-to-year sea-surface salinity in the Bay of Bengal is considered to be driven primarily by variability in freshwater fluxes from upstream river flow (<xref ref-type="bibr" rid="ref15">Chaitanya et al., 2015</xref>).</p>
<p>Numerical models imposing conceptual models of the drivers of change in surface water salinity in the Bengal Basin project increases in the dry-season salinity of rivers (<xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>); that are simulated to be greatest in the central estuarine section. <xref ref-type="bibr" rid="ref18">Dasgupta et al. (2014)</xref> project a 50% decrease in the river area that is fresh from ~40% in 2012 (baseline) to ~20% by 2050; modelled changes are especially pronounced in the southwestern coastal zone. During the monsoon season, <xref ref-type="bibr" rid="ref13">Bricheno et al. (2021)</xref> project higher river discharges under future climate scenarios that would enhance freshwater delivery to the delta and thereby maintain lower salinity at the mouth of the River Meghna. Further they assert that, given SLR and projected increases in monsoonal river discharges, the disparity in wet and dry season intrusion of salinity is projected to widen.</p>
<p>Observational datasets are critical to the development and testing of conceptual and numerical models of how both climate change through, for example, the amplification of climate extremes and SLR, and human activity, in form of irrigation and construction of polders, influence the salinity of coastal water resources (<xref ref-type="bibr" rid="ref40">Payo et al., 2017</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>). As noted by <xref ref-type="bibr" rid="ref21">Feist et al. (2023)</xref>, the spatiotemporal distribution in salinity and its rate of change in surface water remains inadequately constrained by observational records. Yet the Bengal Basin of Bangladesh is among the most intensely monitored hydrological systems on the planet through its network of <italic>in situ</italic> stations. Fed by the combined discharge of the Rivers Ganges (Padma in Bangladesh), Brahmaputra (Jamuna) and Meghna (GBM), the Bengal Basin forms an ideal laboratory to examine both the spatiotemporal dynamics in the salinity of surface waters and the drivers (e.g., river discharge, SLR) of changing surface water salinity. Our analysis here draws from a larger time series (86 stations) of surface water salinity than recent studies (e.g., <xref ref-type="bibr" rid="ref18">Dasgupta et al., 2014</xref>; <xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>) to: (1) analyse the spatiotemporal distribution of surface water salinity; (2) identify the recent trends in surface water salinity; and (3) evaluate the key drivers of surface water salinity.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Study area: the Bengal Basin</title>
<p>Research was conducted in the low-lying coastal zone (i.e., deltaic region) of the Bengal Basin in Bangladesh. The basin is bounded by the Himalayan Mountains in the north, the Bay of Bengal in the south, the Indian Shield to the west and the Indo-Burman Hills in the east. The Bengal Basin is the largest sedimentary basin in the world (area 300,000&#x2009;km<sup>2</sup>), formed by the transport of sediments (1&#x2009;&#x00D7;&#x2009;10<sup>9</sup> tonne/year) carried by three major river systems, Ganges&#x2013;Brahmaputra&#x2013;Meghna (GBM) and their numerous tributaries and distributaries (<xref ref-type="bibr" rid="ref23">Goodbred and Kuehl, 2000</xref>; <xref ref-type="bibr" rid="ref5">Alam et al., 2003</xref>; <xref ref-type="bibr" rid="ref45">Rudra, 2018</xref>). Weathering of the Himalayan Plateau provides an effectively endless supply of sediment to the delta region; the Bengal Basin is the outlet for the entire GBM river basin (area 1,612,000&#x2009;km<sup>2</sup>) that encompasses parts of India, China, Nepal, Bhutan and Bangladesh (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). River discharge (1&#x2009;&#x00D7;&#x2009;10<sup>12</sup> m<sup>3</sup>/year) generated over this catchment area flows into the Bay of Bengal through the lower Meghna sub-basin outlet (<xref ref-type="bibr" rid="ref22">Goodbred and Kuehl, 1999</xref>; <xref ref-type="bibr" rid="ref61">Wasson, 2003</xref>; <xref ref-type="bibr" rid="ref4">Akter et al., 2016</xref>). The Sundarbans, the largest mangrove forest in the world, is located in the southwest boundary of the Bengal Basin.</p>
<p>The Bengal Basin is generally of very low relief (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). In the south, which is open to the Bay of Bengal, ground elevation is &#x003C;1&#x2009;m above the global mean sea level (m amsl) and gradually increases towards the north (30 to 50&#x2009;m amsl). Geomorphologically, the basin comprises 80% Holocene floodplains and 20% Tertiary eastern hills and isolated Pleistocene terraces (<xref ref-type="bibr" rid="ref35">Mukherjee et al., 2009</xref>; <xref ref-type="bibr" rid="ref12">Brammer, 2014</xref>). <xref ref-type="bibr" rid="ref23">Goodbred and Kuehl (2000)</xref> argue that recurrent marine transgressions and regressions occurred during the Holocene from approximately 3,000 to 7,000&#x2009;years ago in the GBM delta. The coastline along the southwest has been migrating inland due to the land subsidence and rising sea levels whereas more centrally in the basin, the Meghna estuary in Bangladesh has been expanding southwards due to accretion (<xref ref-type="bibr" rid="ref45">Rudra, 2018</xref>).</p>
<p>Since the Tertiary, the geology of the basin has been shaped by the GBM river system. More recently during the Late Quaternary, variations in monsoon winds and fluctuations in sea level have had a pronounced influence on the hydrology of the GBM river system (<xref ref-type="bibr" rid="ref23">Goodbred and Kuehl, 2000</xref>). Present landforms were formed by fluvio-deltaic processes during the Late-Quaternary. Quaternary alluvial-deltaic deposits support an agricultural base upon which many livelihoods in Bangladesh and the state of West Bengal in India depend. Sedimentary sequences range from hundreds of metres to several kilometres in thickness, deposited in the remanent ocean basin of the Cenozoic Tethys Sea (<xref ref-type="bibr" rid="ref5">Alam et al., 2003</xref>). Shallow sedimentary sequences to a depth of a few hundred metres form a highly productive, regional aquifer system that largely meets demand for freshwater used in irrigation, drinking-water supplies, and industrial activities (<xref ref-type="bibr" rid="ref25">Hoque, 2010</xref>; <xref ref-type="bibr" rid="ref51">Shamsudduha et al., 2011</xref>).</p>
<p>Bangladesh has a subtropical monsoon climate with distinct seasonal patterns of rainfall, warm temperatures, and high humidity (<xref ref-type="bibr" rid="ref62">Water Resources Planning Organization, 2001</xref>). The Asian monsoon plays a significant role in the climate, affecting pre-monsoon and post-monsoon circulations (<xref ref-type="bibr" rid="ref1001">Agrawala et al., 2003</xref>). The year can be divided into four seasons: the dry winter (December&#x2013;February), the hot pre-monsoon season (March&#x2013;May), the wet monsoon season (June&#x2013;September), and the brief post-monsoon season (October&#x2013;November). During the winter, temperatures are cooler and drier, ranging from 7&#x2013;13&#x00B0;C minimum to 24&#x2013;31&#x00B0;C maximum (<xref ref-type="bibr" rid="ref1001">Agrawala et al., 2003</xref>). The pre-monsoon season is typically hot with an average maximum temperature of 37&#x00B0;C, and heavy rainfall accompanied by thunderstorms and tropical cyclones. During the monsoon season, the country experiences heavy rainfall that amounts to ~80% of the annual total; the post-monsoon season is marked by rainfall associated with episodic tropical cyclones (<xref ref-type="bibr" rid="ref25">Hoque, 2010</xref>; <xref ref-type="bibr" rid="ref50">Shamsudduha et al., 2020</xref>). Mean annual precipitation is ~2,300&#x2009;mm but noticeable variations in rainfall depths occur; eastern and northeastern areas of Bangladesh receive over 5,000&#x2009;mm of rainfall whereas rainfall in western areas is 1,200&#x2009;mm (<xref ref-type="bibr" rid="ref48">Shahid, 2010</xref>; <xref ref-type="bibr" rid="ref20">Dewan et al., 2022</xref>).</p>
</sec>
<sec id="sec3">
<label>3</label>
<title>Datasets and analytical methods</title>
<sec id="sec4">
<label>3.1</label>
<title>Observational records</title>
<p>Time-series records of surface water salinity were collected by the Bangladesh Water Development Board (BWDB) from a monitoring network of 119 tidal stations used to monitor surface water salinity. The BWDB reports surface water salinity in terms of electrical conductivity (EC in units of &#x03BC;S/cm) and chloride concentrations (Cl in units of mg/L) for both high and low tides. Data were collated over three decades between January 1990 and January 2019. The frequency of the collated data is inconsistent and varies from weekly, bi-weekly, to monthly; data gaps also occur in the dataset. Following a careful review of surface water salinity times series records, 86 surface water salinity monitoring stations (<xref ref-type="fig" rid="fig2">Figure 2A</xref>) were selected for further analysis. A district headquarters map is also provided in <xref ref-type="fig" rid="fig2">Figure 2B</xref> to relate patterns and processes revealed by the surface water salinity data to an administrative level and facilitate risk-informed policy making. The interrogated dataset contains 39,464 observations of EC. Between 1990 and 2000, the number of stations (~10) and continuity of records are much more limited relative to the subsequent two decades and especially between 2001 and 2017 (<xref ref-type="fig" rid="fig3">Figure 3</xref>). Further, data gaps are consistently observed during the peak of the monsoon season (July to October) and are attributed to the challenges of conducting field measurements during monsoonal flooding in Bangladesh. We report salinity observed at BWDB&#x2019;s surface water monitoring stations across coastal Bangladesh which largely comprise rivers but exclude shrimp-farming ponds and inland (closed) water bodies.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p><bold>(A)</bold> Map of surface water salinity monitoring stations in Bangladesh (<italic>N</italic> = 86) by Bangladesh Water Development Board (BWDB); red dashed line demarcates the boundary between the &#x201C;exposed&#x201D; and &#x201C;interior&#x201D; coast; blue dashed line demarcates the northern extent of the &#x201C;interior&#x201D; coast with the inland area (<xref ref-type="bibr" rid="ref58">Uddin and Kaudstaal, 2003</xref>); blue dashed lines demarcate the area of coastal  hydrological units: South West (SW), South Central (SC), South Eastern (SE) and Eastern Hills (EH) (<xref ref-type="bibr" rid="ref62">Water Resources Planning Organization, 2001</xref>); <bold>(B)</bold> district headquarters. A detailed location map with the names of rivers, river discharge monitoring stations and rainfall monitoring stations used in this study is provided in the <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S1</xref>.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g002.tif"/>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Heatmap showing the availability of surface water salinity (EC in units of &#x03BC;S/cm) from 1990 to 2019; data are primarily available from 2001 to 2017. Stations are arranged by their mean EC values from the top (lowest) to the bottom (highest). Heatmap is created using functions available in &#x201C;superheat&#x201D; R package (<xref ref-type="bibr" rid="ref10">Barter and Yu, 2018</xref>).</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g003.tif"/>
</fig>
<p>For the purpose of integrated coastal zone management, the coastal region of Bangladesh is delineated into two distinct sections: &#x201C;exposed&#x201D; and &#x201C;interior&#x201D; coasts (<xref ref-type="fig" rid="fig2">Figures 2A</xref>,<xref ref-type="fig" rid="fig2">B</xref>) based on their degree of interaction with the sea in a north&#x2013;south direction such as tidal fluctuations, soil salinity, surface water or groundwater, and their vulnerability to cyclones and storm surges (<xref ref-type="bibr" rid="ref58">Uddin and Kaudstaal, 2003</xref>). Areas situated to the north of the coastal boundary are classified as &#x201C;inland.&#x201D; <xref ref-type="bibr" rid="ref62">Water Resources Planning Organization (2001)</xref> divided the coastal area of Bangladesh into four hydrological units (<xref ref-type="fig" rid="fig2">Figures 2A</xref>,<xref ref-type="fig" rid="fig2">B</xref>) that include South West (SW), South Central (SC), South Eastern (SE), and Eastern Hills (EH); SE and EH parts are collectively referred to as the SE coast in this study.</p>
</sec>
<sec id="sec5">
<label>3.2</label>
<title>Exploratory analyses</title>
<p>Exploratory (scoping) analyses of surface water salinity data were employed to assess its spatiotemporal structure across coastal Bangladesh. Applied statistics include long-term mean, standard deviation, and decadal means. Long-term mean and standard deviations were calculated between the 1991&#x2013;2019 periods at the mean tide (i.e., arithmetic means of high tide and low tide salinity) to explore the spatial structure of the surface water salinity dataset. Similarly, decadal means were calculated over the last three decades (i.e., 1990&#x2013;1999, 2000&#x2013;2009 and 2010&#x2013;2019) to assess changes in spatiotemporal patterns. Surface water salinity for individual stations was also plotted to identify erroneous values and assess trends.</p>
</sec>
<sec id="sec6">
<label>3.3</label>
<title>Analysis of trends</title>
<p>The analysis of salinity trends focused on a subset of the surface water salinity dataset from 2001 to 2017 during which there are fewer data gaps. Linear regression is a parametric model commonly applied to detect trends in time series data but assumes that analysed datasets are normally distributed (<xref ref-type="bibr" rid="ref32">McBean and Motiee, 2008</xref>). Many hydrological variables do not follow a normal distribution (<xref ref-type="bibr" rid="ref59">Viessman et al., 1989</xref>) but show a pronounced &#x201C;right skewedness&#x201D; as is evident from the surface water salinity dataset in coastal Bangladesh (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>). Consequently, a non-parametric measure of trend, Sen Slope Estimator (<xref ref-type="bibr" rid="ref47">Sen, 1968</xref>), was also employed. For the calculation of Sen Slope Estimator, data gaps were infilled using &#x201C;<italic>MissForest</italic>&#x201D;, a random forest imputation algorithm for missing data and converted to a uniform monthly time series (<xref ref-type="bibr" rid="ref56">Stekhoven and B&#x00FC;hlmann, 2012</xref>). Additionally, to identify trends and seasonal patterns in surface water salinity, we applied another non-parametric technique, seasonal-trend decomposition procedure based on Loess (STL) (<xref ref-type="bibr" rid="ref17">Cleveland et al., 1990</xref>; <xref ref-type="bibr" rid="ref49">Shamsudduha et al., 2009</xref>). The STL method detects nonlinear patterns in long-term trends that cannot be assessed through linear trend analyses. It comprises a series of smoothing operations with variable moving window widths chosen to extract different frequencies within a time series and can be regarded as an extension of classical methods for decomposing a series into its individual components.</p>
</sec>
<sec id="sec7">
<label>3.4</label>
<title>Cluster analyses</title>
<p>We further applied a partitional (non-hierarchical) clustering method (<italic>K</italic>-means) with a pre-assigned number of clusters as it is computationally more efficient and faster than hierarchical clustering with high-dimensional (i.e., number of features) time-series data (<xref ref-type="bibr" rid="ref1">Aghabozorgi et al., 2015</xref>; <xref ref-type="bibr" rid="ref28">Javed et al., 2020</xref>; <xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>). <italic>K</italic>-means clustering is fundamentally different from hierarchical clustering in that it is a form of partitional clustering where data are divided into <italic>K</italic> number of partitions based on <italic>a priori</italic> knowledge about the optimum number of clusters in the dataset. To determine the optimum number of clusters, we applied several techniques to the groundwater-level dataset ranging from the sum of squared error (SSE) or &#x201C;elbow&#x201D; method to the <xref ref-type="bibr" rid="ref14">Cali&#x00F1;ski and Harabasz (1974)</xref> criteria. These methods indicate that the optimum number of clusters is 6 by the &#x201C;elbow&#x201D; method, and between 2 and 6 clusters by the Cali&#x00F1;ski&#x2013;Harabasz index. Here, we considered 6 clusters for grouping surface water salinity monitoring records from 86 stations. To bring further homogeneity to the automatically performed clustering, we reviewed all the time-series data in 6 clusters and moved some stations between clusters. The supervised re-classification of the original clusters was performed by objectively looking at the individual time series plots and reconciling patterns revealed by the composite cluster plots. It is based on the proximity and magnitude surface water salinity monitoring stations and works as a proxy indicator to infer about key processes that governs surface water salinity regime at a local level such as complex hydro-morphology and anthropogenic factors. These localised process and patterns enable us to comment about the major surface water salinity pathways at the regional level.</p>
</sec>
<sec id="sec8">
<label>3.5</label>
<title>Geospatial analyses</title>
<p>Analytical outcomes from the analyses were mapped using a Geographic Information System (GIS). The confluence of the Rivers Ganges, Brahmaputra and Meghna in the north, Bay of Bengal in the south, and the national boundary between India and Bangladesh in the West and coastal zone boundary in the west demarcate the area of interpolation used in this study. Here, we applied the Empirical Bayesian Kriging (EBK) interpolation algorithm available in the ESRI ArcGIS desktop environment, which is a geostatistical interpolation method that automates the most difficult aspects of building a valid kriging model (<xref ref-type="bibr" rid="ref30">Krivoruchko and Gribov, 2019</xref>). Other kriging methods in Geostatistical Analyst in ArcGIS require manual adjustments of parameters to generate accurate results whereas EBK automatically calculates these parameters through a process of sub-setting and simulations. Empirical Bayesian Kriging differs from other kriging methods by accounting for the error introduced by estimating the underlying semi-variogram. This approach has an advantage over other kriging methods in that it calculates the semi-variogram from known data locations and uses this single semi-variogram to make predictions at unknown locations. Semi-variogram analysis of surface water EC data in this study shows a strong spatial dependence up to a distance of 50&#x2009;km suggesting that the EBK algorithm is suitable for interpolation.</p>
</sec>
</sec>
<sec sec-type="results" id="sec9">
<label>4</label>
<title>Results</title>
<sec id="sec10">
<label>4.1</label>
<title>Spatiotemporal distribution of surface water salinity</title>
<p>The spatial distribution of surface water salinity defined by long-term mean EC is presented in <xref ref-type="fig" rid="fig4">Figure 4</xref>. For contouring purposes, long-term mean surface water salinity is divided into five categories based on EC: (i) very low&#x2014;freshwater (&#x2264;1,500&#x2009;&#x03BC;S/cm), (ii) low (1,501 to 5,000&#x2009;&#x03BC;S/cm), (iii) moderate (5,001 to 10,000&#x2009;&#x03BC;S/cm), (iv) high (10,001 to 15,000&#x2009;&#x03BC;S/cm), and (v) very high (&#x003E;15,001&#x2009;&#x03BC;S/cm). Surface water salinity is consistently high in the southwest (SW) coastal region (e.g., tidal rivers in Khulna, Satkhira and Bagerhat districts). Here, moderate to high surface water salinity is observed in the exposed coastal part of this region whereas the interior and inland coastal area to the north shows very low to low salinity. The surface water salinity contour of 5,000&#x2009;&#x03BC;S/cm reaches up to 100&#x2009;km inland, just north of Khulna (<xref ref-type="fig" rid="fig4">Figure 4</xref>). The highest surface water salinity (14,500&#x2009;&#x03BC;S/cm) observed in the SW coastal region is in the River Shibsa in Koyra, ~40&#x2009;km southwest of Khulna. In contrast to the SW coastal region of Bangladesh, very low to low surface water salinities are observed in the south-central (SC) coastal region and include tidal rivers in Barisal, Barguna, Patuakhali, Priojpur, and Bhola districts where surface water salinity is predominantly below 1,500&#x2009;&#x03BC;S/cm (i.e., freshwater), except for one station located near the SW coastal boundary.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Long-term (1990&#x2013;2019) mean values of surface water salinity (EC) in the coastal region of the Bengal Basin (shaded circles), interpolated by Empirical Bayesian Kriging, freshwater contour (1,500&#x2009;&#x03BC;S/cm) line shown in red; data derive from BWBD surface water salinity monitoring stations (<italic>N</italic>&#x2009;=&#x2009;86). Uncertainty in interpolated salinity contours is such that some individual point values exceed or fall below contour intervals.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g004.tif"/>
</fig>
<p>Surface water salinity in the southeast (SE) coastal region is higher and more variable, influenced by some extreme values (<xref ref-type="fig" rid="fig4">Figure 4</xref>). Very high surface water salinity is observed around Chittagong and Cox&#x2019;s Bazar where monitoring stations are close (&#x003C;25&#x2009;km) and well connected to the sea. Low to moderate surface water salinity is observed in the interior part of Chittagong and Hill Tracts and exposed part of Noakhali and Laxmipur. Surface water salinity monitoring stations located near the Meghna basin outlet at Naokhali and Laxmipur (<xref ref-type="fig" rid="fig4">Figure 4</xref>) show low salinity (1,500 to 5,000&#x2009;&#x03BC;S/cm).</p>
<p>At most surface water salinity monitoring stations in the coastal region of Bangladesh, mean EC values are below 10,000&#x2009;&#x03BC;S/cm, except for three stations (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3A</xref>): River Shibsa in Koyra, Khulna (14,500&#x2009;&#x03BC;S/cm); River Sangu in Banshkhali, Chittagong (20,400&#x2009;&#x03BC;S/cm) and Maheshkhali Channel in Maheshkhali, Cox&#x2019;s Bazar (32,900&#x2009;&#x03BC;S/cm). The latter two stations are located very near the open sea and their EC values are close to that of seawater (~50,000&#x2009;&#x03BC;S/cm). An increasing trend in the lower 5th percentile is also observed in Maheshkhali Channel and River Shibsha (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3B</xref>).</p>
</sec>
<sec id="sec11">
<label>4.2</label>
<title>Outcomes of statistical clustering</title>
<p>Statistical clustering identifies six distinct patterns (i.e., supervised clusters) in the time series of observed salinity changes at 86 stations in coastal Bangladesh (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>). These statistically characterised time series patterns demonstrate a clear spatial structure (<xref ref-type="fig" rid="fig6">Figure 6</xref> and <xref ref-type="table" rid="tab1">Table 1A</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Six supervised clusters of surface water salinity times series patterns defined by Partitioning Around Medoids (PAM) algorithm represented by <bold>(A)</bold> &#x201C;box and whisker&#x201D; plots (whiskers represent minimum and maximum values, boxes represent lower and upper quartiles); blue lines and red dots represent median and mean; <bold>(B)</bold> representative time series plots for individual stations for each cluster.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g005.tif"/>
</fig>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Map showing the location of six supervised clusters defined by Partitioning Around Medoids (PAM) algorithm (<italic>N</italic>&#x2009;=&#x2009;86); stations monitoring discharge of River Padma (Ganges); cyclone tracks that made landfall in Bangladesh between 2001 and 2017; trends of sea level rise, both shaded and contoured, revealed from satellite altimetry (AVISO, <ext-link xlink:href="https://www.aviso.altimetry.fr/en/data.html" ext-link-type="uri">https://www.aviso.altimetry.fr/en/data.html</ext-link>) data from 1993 to 2021; long-term (2000&#x2013;2017) mean EC contour (1,500&#x2009;&#x03BC;S/cm); location of earthen embankments (polders).</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g006.tif"/>
</fig>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>(A) Descriptive statistics [mean, standard deviation (SD), minimum, maximum] from 2001 to 2017 of electrical conductivity (EC, &#x03BC;S/cm) values for each of the six supervised statistical clusters; (B) mean values (&#x03BC;S/cm) and trends (&#x03BC;S/cm per year) in surface water salinity (EC) from 2001 to 2017 by coastal region (<italic>N</italic>&#x2009;=&#x2009;86) computed using linear regression, Theil-Sen trend estimator, and season-trend decomposition using Loess (STL); SD, standard deviation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="7">(A)</th>
</tr>
<tr>
<th align="left" valign="top">Cluster</th>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
<th align="left" valign="top">Location</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">1</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">450</td>
<td align="center" valign="top">200</td>
<td align="center" valign="top">400</td>
<td align="center" valign="top">600</td>
<td align="left" valign="top">SW Inland, Interior</td>
</tr>
<tr>
<td align="left" valign="top">2</td>
<td align="center" valign="top">6</td>
<td align="center" valign="top">450</td>
<td align="center" valign="top">150</td>
<td align="center" valign="top">350</td>
<td align="center" valign="top">600</td>
<td align="left" valign="top">SW Inland</td>
</tr>
<tr>
<td align="left" valign="top">3</td>
<td align="center" valign="top">28</td>
<td align="center" valign="top">3,100</td>
<td align="center" valign="top">1,700</td>
<td align="center" valign="top">100</td>
<td align="center" valign="top">33,000</td>
<td align="left" valign="top">SE Interior, Exposed, Inland</td>
</tr>
<tr>
<td align="left" valign="top">4</td>
<td align="center" valign="top">8</td>
<td align="center" valign="top">1,000</td>
<td align="center" valign="top">1,200</td>
<td align="center" valign="top">400</td>
<td align="center" valign="top">2,000</td>
<td align="left" valign="top">SW Interior</td>
</tr>
<tr>
<td align="left" valign="top">5</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">6,500</td>
<td align="center" valign="top">4,500</td>
<td align="center" valign="top">1,200</td>
<td align="center" valign="top">14,000</td>
<td align="left" valign="top">SW Exposed</td>
</tr>
<tr>
<td align="left" valign="top">6</td>
<td align="center" valign="top">27</td>
<td align="center" valign="top">750</td>
<td align="center" valign="top">600</td>
<td align="center" valign="top">300</td>
<td align="center" valign="top">6,000</td>
<td align="left" valign="top">SC Interior, Exposed</td>
</tr>
</tbody>
</table>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="8">(B)</th>
</tr>
<tr>
<th align="left" valign="top">Coastal region</th>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Linear trend</th>
<th align="center" valign="top">Sen trend</th>
<th align="center" valign="top">Seasonal Sen trend</th>
<th align="center" valign="top">STL trend</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<bold>South-West</bold>
</td>
<td align="center" valign="top">
<bold>33</bold>
</td>
<td align="center" valign="top">
<bold>2,730</bold>
</td>
<td align="center" valign="top">
<bold>2,080</bold>
</td>
<td align="center" valign="top">
<bold>57</bold>
</td>
<td align="center" valign="top">
<bold>41</bold>
</td>
<td align="center" valign="top">
<bold>41</bold>
</td>
<td align="center" valign="top">
<bold>56</bold>
</td>
</tr>
<tr>
<td align="left" valign="top">Exposed</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">8,790</td>
<td align="center" valign="top">6,160</td>
<td align="center" valign="top">155</td>
<td align="center" valign="top">122</td>
<td align="center" valign="top">141</td>
<td align="center" valign="top">159</td>
</tr>
<tr>
<td align="left" valign="top">Interior</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">2,530</td>
<td align="center" valign="top">2,120</td>
<td align="center" valign="top">62</td>
<td align="center" valign="top">41</td>
<td align="center" valign="top">38</td>
<td align="center" valign="top">57</td>
</tr>
<tr>
<td align="left" valign="top">Inland</td>
<td align="center" valign="top">9</td>
<td align="center" valign="top">480</td>
<td align="center" valign="top">170</td>
<td align="center" valign="top">3</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">7</td>
</tr>
<tr>
<td align="left" valign="top">
<bold>South-Central</bold>
</td>
<td align="center" valign="top">
<bold>22</bold>
</td>
<td align="center" valign="top">
<bold>820</bold>
</td>
<td align="center" valign="top">
<bold>670</bold>
</td>
<td align="center" valign="top">
<bold>63</bold>
</td>
<td align="center" valign="top">
<bold>45</bold>
</td>
<td align="center" valign="top">
<bold>45</bold>
</td>
<td align="center" valign="top">
<bold>62</bold>
</td>
</tr>
<tr>
<td align="left" valign="top">Exposed</td>
<td align="center" valign="top">9</td>
<td align="center" valign="top">1,380</td>
<td align="center" valign="top">1,180</td>
<td align="center" valign="top">115</td>
<td align="center" valign="top">94</td>
<td align="center" valign="top">93</td>
<td align="center" valign="top">133</td>
</tr>
<tr>
<td align="left" valign="top">Interior</td>
<td align="center" valign="top">13</td>
<td align="center" valign="top">440</td>
<td align="center" valign="top">320</td>
<td align="center" valign="top">27</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">11</td>
<td align="center" valign="top">13</td>
</tr>
<tr>
<td align="left" valign="top">
<bold>South-East</bold>
</td>
<td align="center" valign="top">
<bold>31</bold>
</td>
<td align="center" valign="top">
<bold>2,870</bold>
</td>
<td align="center" valign="top">
<bold>1,580</bold>
</td>
<td align="center" valign="top">
<bold>&#x2212;50</bold>
</td>
<td align="center" valign="top">
<bold>&#x2212;50</bold>
</td>
<td align="center" valign="top">
<bold>&#x2212;33</bold>
</td>
<td align="center" valign="top">
<bold>&#x2212;51</bold>
</td>
</tr>
<tr>
<td align="left" valign="top">Exposed</td>
<td align="center" valign="top">7</td>
<td align="center" valign="top">9,730</td>
<td align="center" valign="top">5,760</td>
<td align="center" valign="top">&#x2212;183</td>
<td align="center" valign="top">&#x2212;200</td>
<td align="center" valign="top">&#x2212;134</td>
<td align="center" valign="top">&#x2212;187</td>
</tr>
<tr>
<td align="left" valign="top">Interior</td>
<td align="center" valign="top">19</td>
<td align="center" valign="top">990</td>
<td align="center" valign="top">430</td>
<td align="center" valign="top">&#x2212;15</td>
<td align="center" valign="top">&#x2212;9</td>
<td align="center" valign="top">&#x2212;6</td>
<td align="center" valign="top">&#x2212;16</td>
</tr>
<tr>
<td align="left" valign="top">Inland</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">380</td>
<td align="center" valign="top">80</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">6</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">4</td>
</tr>
<tr>
<td align="left" valign="top">
<bold>Coastal</bold>
</td>
<td align="center" valign="top">
<bold>72</bold>
</td>
<td align="center" valign="top">
<bold>2,650</bold>
</td>
<td align="center" valign="top">
<bold>1,810</bold>
</td>
<td align="center" valign="top">
<bold>23</bold>
</td>
<td align="center" valign="top">
<bold>10</bold>
</td>
<td align="center" valign="top">
<bold>17</bold>
</td>
<td align="center" valign="top">
<bold>21</bold>
</td>
</tr>
<tr>
<td align="left" valign="top">
<bold>Inland</bold>
</td>
<td align="center" valign="top">
<bold>14</bold>
</td>
<td align="center" valign="top">
<bold>440</bold>
</td>
<td align="center" valign="top">
<bold>140</bold>
</td>
<td align="center" valign="top">
<bold>4</bold>
</td>
<td align="center" valign="top">
<bold>5</bold>
</td>
<td align="center" valign="top">
<bold>5</bold>
</td>
<td align="center" valign="top">
<bold>6</bold>
</td>
</tr>
<tr>
<td align="left" valign="top">
<bold>Overall</bold>
</td>
<td align="center" valign="top">
<bold>86</bold>
</td>
<td align="center" valign="top">
<bold>2,290</bold>
</td>
<td align="center" valign="top">
<bold>1,540</bold>
</td>
<td align="center" valign="top">
<bold>20</bold>
</td>
<td align="center" valign="top">
<bold>9</bold>
</td>
<td align="center" valign="top">
<bold>15</bold>
</td>
<td align="center" valign="top">
<bold>19</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Bold typeface values in <xref ref-type="table" rid="tab1">Table 1B</xref> denote statistical results for each coastal hydrological unit in Bangladesh (as depicted in <xref ref-type="fig" rid="fig2">Figure 2A</xref>), aggregated results for coastal and inland regions, and overall results for the 86 stations analysed; note that the South-East coastal hydrological unit in this study includes the Eastern Highlands shown <xref ref-type="fig" rid="fig2">Figure 2A</xref>.</p>
</table-wrap-foot>
</table-wrap>
<p>Clusters 1 (<italic>N</italic>&#x2009;=&#x2009;5) and 2 (<italic>N</italic>&#x2009;=&#x2009;6) describe observed changes in surface water salinity in the SW interior coast. Here, the mean salinity is generally low (mean=&#x2009;~450&#x2009;&#x03BC;S/cm; SD&#x2009;=&#x2009;~200&#x2009;&#x03BC;S/cm) and varies minimally (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>). A small but distinct positive deflection (i.e., rise) in salinity is observed in 2007 in both clusters. Time-series records in cluster 1 show evidence of recovery from this rise in salinity whereas time series records in cluster 2 do not (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>).</p>
<p>Cluster 3 comprise 28 time-series records from monitoring stations in the SE exposed and interior coastal regions (<xref ref-type="fig" rid="fig2">Figures 2</xref>, <xref ref-type="fig" rid="fig5">5</xref>, <xref ref-type="fig" rid="fig6">6</xref>). Mean salinity in these records is almost an order of magnitude higher (mean&#x2009;=&#x2009;~3,100&#x2009;&#x03BC;S/cm; SD&#x2009;=&#x2009;~1,700&#x2009;&#x03BC;S/cm) with a high seasonal range (~80,000&#x2009;&#x03BC;S/cm) and a step-change rise in salinity in 2007 (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>) affecting seasonal lows and highs such that the amplitude of seasonal oscillations remain consistent (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>).</p>
<p>Cluster 4 (<italic>N</italic>&#x2009;=&#x2009;8) comprises time series records with a mean salinity of ~1,000&#x2009;&#x03BC;S/cm (SD&#x2009;=&#x2009;1,200&#x2009;&#x03BC;S/cm) that is found in a transition zone in the SW (<xref ref-type="fig" rid="fig6">Figure 6</xref>) between the exposed and interior coastal regions (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Rises in surface water salinity are observed in 2007 and 2014 but there is also evidence of a partial recovery to lower salinities as well as a shift to more frequent higher seasonal salinities (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>).</p>
<p>Cluster 5 (<italic>N</italic>&#x2009;=&#x2009;12) includes stations found in the SW coastal region, just north of the Sundarbans (<xref ref-type="fig" rid="fig6">Figure 6</xref>), where the mean surface water salinity is brackish (~6,500&#x2009;&#x03BC;S/cm; SD&#x2009;=&#x2009;4,500&#x2009;&#x03BC;S/cm). Here, there is a noticeable increase in peak surface water salinities in 2007 and 2014; this peak salinity continues to rise, increasing the seasonal amplitude in observed salinity as seasonal low salinities remain effectively constant (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>).</p>
<p>Cluster 6 (<italic>N</italic>&#x2009;=&#x2009;27) is found in the south-central coastal area (<xref ref-type="fig" rid="fig6">Figure 6</xref>) in both the exposed and interior coastal regions (<xref ref-type="fig" rid="fig2">Figure 2A</xref>). As noted above (<xref ref-type="fig" rid="fig4">Figure 4</xref>), mean surface water salinities are low, consistent with freshwater (mean&#x2009;=&#x2009;~750&#x2009;&#x03BC;S/cm; SD&#x2009;=&#x2009;600&#x2009;&#x03BC;S/cm). Rises in surface water salinity are visible in 2007, 2011 and 2017 (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>); seasonal oscillations in surface water salinities recover quickly but there is evidence of a trend toward rising salinities over the time series as reported above.</p>
</sec>
<sec id="sec12">
<label>4.3</label>
<title>Insight from a Seasonal-Trend decomposition procedure based on Loess (STL)</title>
<p>STL decomposition of time-series records of surface water salinity reveal the respective contributions of seasonality, trend and residuals to the overall variance observed in the coastal region of Bangladesh (<xref ref-type="fig" rid="fig7">Figure 7</xref>). Variance in surface water salinity in the SW exposed coastal region (cluster 5) is dominated (&#x003E;80%) by seasonality. Seasonal components continue to explain some of the variance in salinity observed in the SW interior coastal region (cluster 4) just north of Khulna where monitoring stations are connected (proximate) to major distributaries. In SW inland coastal region (clusters 1 and 2) remote from major distributaries, trend (and residual) components explain almost all of the observed variance in surface water salinity. In the SC coastal region (cluster 6), much (50 to 60%) of the variance in surface water salinity is explained by the trend component. In the SE coastal region (cluster 3) no consistency is observed in the dominance of seasonal, trends or residual components.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p><bold>(A)</bold> STL plot of the surface water salinity time series data EC (&#x03BC;S/cm) for SW1 from cluster 5. <bold>(B)</bold> Contribution of various STL components, e.g., seasonal, trend and residual in surface water salinity monitoring stations (<italic>N</italic>&#x2009;=&#x2009;86) expressed as relative proportions of variance (%).</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g007.tif"/>
</fig>
</sec>
<sec id="sec13">
<label>4.4</label>
<title>Seasonality in surface water salinity</title>
<p>Surface water salinity time-series exhibit seasonal regimes of varying amplitudes across the 86 stations. For clusters 1, 2, 3 and 6 in the SW inland, SC, and SE coastal regions, surface water salinity is highest during the dry season between February and April and lowest during the monsoon from June to August (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S6</xref>), consistent with simulations by <xref ref-type="bibr" rid="ref13">Bricheno et al. (2021)</xref> and <xref ref-type="bibr" rid="ref9002">Bricheno and Wolf (2018)</xref>. The amplitude of these seasonal variations in surface water salinities is small (&#x003C;30%) relative to clusters 4 and 5 in the SW exposed and interior coastal regions (&#x003E;100%) where peak salinities occur later in the dry season in April and May and lowest salinities are observed in October and November.</p>
<p>During the post-monsoon season from September to November (<xref ref-type="fig" rid="fig8">Figure 8A</xref>), surface water salinity across the entire coastal region is below 10,000&#x2009;&#x03BC;S/cm and remains fresh (&#x003C;1,500&#x2009;&#x03BC;S/cm) in the SC region. During the dry season, surface water salinities rise considerably in the SE and SW exposed coastal regions, the latter just north of the Sundarbans (<xref ref-type="fig" rid="fig8">Figure 8B</xref>). Here, the contour between fresh and brackish water migrates between 20 and 40&#x2009;km northward during the dry season (<xref ref-type="fig" rid="fig8">Figure 8C</xref>). In terms of magnitude, surface water salinity increases 3 to 5 times that observed in the wet season. In the SE, surface water salinity doubles at some monitoring stations near the sea whereas in the SC coastal region surface water remains fresh (&#x003C;1,500&#x2009;&#x03BC;S/cm), though the spatial extent of this freshwater zone shrinks slightly during the dry season.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Long-term mean seasonal distribution of surface water salinity (2001&#x2013;2017) EC (&#x03BC;S/cm) <bold>(A)</bold> wet season (September&#x2013;November) salinity; <bold>(B)</bold> dry season (March&#x2013;May) salinity; <bold>(C)</bold> seasonal shifts in surface water salinity contour (1,500&#x2009;&#x03BC;S/cm) superimposed on dry period mean surface water salinity. Uncertainty in interpolation explains the anomaly observed between the dry and wet season contours in the SE coastal region.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g008.tif"/>
</fig>
</sec>
<sec id="sec14">
<label>4.5</label>
<title>Long-term trends in surface water salinity</title>
<p>Spatiotemporal changes in surface water salinity depicted in <xref ref-type="fig" rid="fig9">Figure 9</xref> show how surface water salinity has evolved over the last two decades (2000&#x2013;2019); the very limited number and distribution of observations from 1990 to 1999 prevent meaningful representations of salinity prior to 2000 (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>). Two major changes that can be observed by comparing <xref ref-type="fig" rid="fig9">Figures 9A</xref>,<xref ref-type="fig" rid="fig9">B</xref> are: (i) a generalised increase in salinity in the SW coastal region; and (ii) shrinking of the freshwater (&#x003C;1,500&#x2009;&#x03BC;S/cm) &#x201C;pocket&#x201D; in the SC coastal region.</p>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>Decadal changes in the spatiotemporal distribution of surface water salinity in the coastal zone of Bangladesh over two decades: <bold>(A)</bold> mean surface water salinity from 2000 to 2009; <bold>(B)</bold> mean surface water salinity from 2010 to 2018; <bold>(C)</bold> changes in surface water salinity contour (1,500&#x2009;&#x03BC;S/cm) between periods 2000&#x2013;2009 and 2010&#x2013;2018.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g009.tif"/>
</fig>
<p>Long-term trends in surface water salinity over the last two decades 2001&#x2013;2017 are mapped in <xref ref-type="fig" rid="fig10">Figure 10</xref> and summarised in <xref ref-type="table" rid="tab1">Table 1A</xref>. Overall, there is a rising trend of surface water salinity in the coastal region. Moderate to high positive trends (+100 to +450&#x2009;&#x03BC;S/cm per year) in surface water salinity are observed in the exposed SW coastal region up to Khulna and parts of the SE coastal region near Chittagong. Lower positive trends in surface water salinity (+1 to +100&#x2009;&#x03BC;S/cm per year) are observed in the rest of the coastal region including the SC region; marginally negative trends (i.e., reducing salinity) are computed in the interior and inland SW coast north of Khulna and western part of SC coast south of Comilla; these are thought primarily to derive from uncertainty and data gaps in the times series observations. Substantial increases in salinity are observed primarily in the SW coastal region, north of The Sundarbans. Highest trends are observed near Khulna (e.g., stations SW258&#x2014;River Shibsa in Paikgacha, SW28&#x2014;River Bhadra in Dumuri) and further south (e.g., SW107.2&#x2014;River Gorai-Madhumati in Sarankhola Bagerhat, SW 108&#x2014;River Gorai-Madhumati in Barguna, Patharghata). Most stations in the interior coast show marginally increasing (&#x003C;70&#x2009;&#x03BC;S/cm per year) salinity; marginally increasing salinity is also observed in the south-central exposed coastal region.</p>
<fig position="float" id="fig10">
<label>Figure 10</label>
<caption>
<p>Long-term trends in surface water salinity (EC) superimposed on long-term mean 1,500&#x2009;&#x03BC;S/cm EC contours (2001&#x2013;2017) using <bold>(A)</bold> Sen&#x2019;s slope estimator <bold>(B)</bold> trend as a percentage of long-term mean.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g010.tif"/>
</fig>
</sec>
<sec id="sec15">
<label>4.6</label>
<title>Responses to tropical cyclones</title>
<p>From 2006 to 2009, five tropical cyclones hit the coastal region of Bangladesh including severe cyclones Sidr in 2007 and Aila in 2009 (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>; <xref ref-type="fig" rid="fig11">Figure 11</xref>). Notwithstanding sharp increases in surface water salinity observed in 2007 within each cluster across the coastal region, these rises preceded the landfall of cyclone Sidr in mid-November of 2007. They are pronounced in stations within clusters 1, 2, 4 and 6 where mean surface water salinities are comparatively lower than stations within clusters 3 and 5 (<xref ref-type="table" rid="tab1">Table 1B</xref>). <xref ref-type="fig" rid="fig11">Figure 11</xref> compares mean surface water salinity between the period of 2001 to 2005 and that of 2006 to 2010. An increase in the magnitude of surface water salinity and area with a mean salinity exceeding that of freshwater (EC&#x2009;=&#x2009;1,500&#x2009;&#x03BC;S/cm) is observed between these periods in the SW coastal region where the freshwater contour migrated between 11 and 28&#x2009;km northward and between 4 and 22&#x2009;km eastward.</p>
<fig position="float" id="fig11">
<label>Figure 11</label>
<caption>
<p>Changes in the surface water salinity distribution between the intervals of 2001 to 2005 and 2006 to 2010: <bold>(A)</bold> mean surface water salinity from 2001 to 2005 (pre-cyclone); <bold>(B)</bold> mean surface water salinity from 2006 to 2010 (post-cyclone); <bold>(C)</bold> changes in surface water salinity contour (1,500&#x2009;&#x03BC;S/cm) between pre-cyclone and post-cyclone periods and the cyclone tracks that made landfall in Bangladesh between 2007&#x2013;2009 period.</p>
</caption>
<graphic xlink:href="frwa-06-1220540-g011.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="sec16">
<label>5</label>
<title>Discussion</title>
<p>Previous research (<xref ref-type="bibr" rid="ref64">Yu et al., 2010</xref>; <xref ref-type="bibr" rid="ref46">Salehin et al., 2018</xref>; <xref ref-type="bibr" rid="ref3">Akter et al., 2019</xref>; <xref ref-type="bibr" rid="ref2">Akter et al., 2020</xref>; <xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>) has identified three major factors that influence the salinity of surface waters in coastal deltaic environments in the tropics: (i) changes in the magnitude and seasonality of upstream river discharge; (ii) sea-level rise and seasonal tidal fluctuations; and (iii) the intensity and frequency of tropical cyclones and storm surges. At local scales, it has also been suggested that surface water salinity regimes are influenced by land-use change and human interventions such as coastal embankments known locally as &#x201C;polders&#x201D; and dry-season irrigation from surface waters and wells (<xref ref-type="bibr" rid="ref8">Ayers et al., 2017</xref>; <xref ref-type="bibr" rid="ref27">Islam et al., 2019</xref>; <xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>). We examine below the extent to which these regional to local-scale influences and their interactions explain observed variations in surface water salinity from 86 stations in the Bengal Basin of Bangladesh.</p>
<sec id="sec17">
<label>5.1</label>
<title>Changes in the magnitude and seasonality of river discharge</title>
<p>Variations in river discharge (<italic>Q</italic>) across the coastal region of the Bengal Basin provide a compelling explanation for the spatial structure in observed surface water salinity in <xref ref-type="fig" rid="fig4">Figure 4</xref>. Surface water salinities are higher and more variable in the SW exposed (mean: 6,500&#x2009;&#x03BC;S/cm, SD: 4,500&#x2009;&#x03BC;S/cm) and interior (mean: 1,000&#x2009;&#x03BC;S/cm, SD: 1,200&#x2009;&#x03BC;S/cm) coastal regions, north of the Sundarbans, relative to the freshwater conditions that persist in the SC (mean: 750&#x2009;&#x03BC;S/cm, SD: 600&#x2009;&#x03BC;S/cm) coastal region (<xref ref-type="table" rid="tab1">Table 1A</xref>). Freshwater fluxes to the SW coastal region derive from distributaries within the moribund delta draining the River Padma (see locations of gauging stations on Rivers Gorai (SW99) and Mathavanga (SW205) in <xref ref-type="fig" rid="fig6">Figure 6</xref>) with a combined mean <italic>Q</italic> (1967&#x2013;2016) of ~1,200&#x2009;m<sup>3</sup>/s (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7&#x2013;S11</xref>). In contrast, freshwater discharges to the SC region within the active delta are supplied by the combined contributions from the Rivers Padma (Ganges), Jamuna (Brahmaputra), and Meghna with a combined mean <italic>Q</italic> of ~37,000&#x2009;m<sup>3</sup>/s (<xref ref-type="bibr" rid="ref9004">Sarker et al., 2003</xref>; <xref ref-type="bibr" rid="ref38">Palash et al., 2018</xref>). Surface water salinities are also high in the SE exposed coastal region (mean: 9,730&#x2009;&#x03BC;S/cm, SD: 5,760&#x2009;&#x03BC;S/cm, <xref ref-type="table" rid="tab1">Table 1B</xref>) where the magnitude of freshwater fluxes is constrained by smaller, localised catchment areas (e.g., River Karnaphuli) that drain the Chittagong Hill Tracts to the Bay of Bengal.</p>
<p>Very considerable seasonal variations in the combined discharge of Rivers Padma, Jamuna and Meghna (flood <italic>Q</italic>: ~140,000&#x2009;m<sup>3</sup>/s, dry-season <italic>Q</italic>: ~5,000&#x2009;m<sup>3</sup>/s; see Figure 3 and Table 1 in <xref ref-type="bibr" rid="ref38">Palash et al., 2018</xref>) occur and explain, in part, observed seasonal variations in the salinity of surface waters in the coastal region, which can vary from 1,000 to &#x003E;20,000&#x2009;&#x03BC;S/cm at individual stations (e.g., SW250 and SW1 in <xref ref-type="fig" rid="fig6">Figure 6B</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>). Across the coastal region during the monsoon season, observed salinity at all stations but one lie below 10,000&#x2009;&#x03BC;S/cm (<xref ref-type="fig" rid="fig5">Figure 5A</xref>) whereas during the dry season mean EC values at seven stations exceed 10,000&#x2009;&#x03BC;S/cm (<xref ref-type="fig" rid="fig5">Figure 5B</xref>). Dry-season (5th percentile) river discharge (~55&#x2009;m<sup>3</sup>/s) to the SW coastal region (SW99, <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7, S8</xref>) reduces to just 1.5% of the mean discharge (1976 to 2015); this seasonal reduction in flow coincides with a shrinking of the SC freshwater zone and seasonal (northward) migration of the freshwater contour (1,500&#x2009;&#x03BC;S/cm) by ~20 to ~40&#x2009;km (<xref ref-type="fig" rid="fig5">Figure 5C</xref>). Across coastal Bangladesh, observed seasonality in EC is greatest in the SW exposed and interior coastal regions, represented by clusters 4 and 5 (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S6</xref>), and lags behind other coastal zones (<xref ref-type="fig" rid="fig8">Figure 8</xref>). It is here within the southern part of the moribund delta where distributaries are least well connected to seasonal freshwater fluxes of the Rivers Padma, Jamuna and Meghna, and their distributaries.</p>
<p>Observed reductions in dry-season (5th percentile) discharge of the River Padma and its distributaries including the River Gorai (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7, S9, S10</xref>; <xref ref-type="bibr" rid="ref6">Ali and Hasan, 2022</xref>), the principal dry-season source of freshwater to the SW coastal region (<xref ref-type="bibr" rid="ref44">Rahman and Rahaman, 2018</xref>), are expected to have enhanced the seasonal (northward) migration of salinity. Hydrological records at Hardinge Bridge (SW90 in <xref ref-type="fig" rid="fig6">Figure 6</xref>) on the River Padma reveal a more than 50% decrease from 2,080&#x2009;m<sup>3</sup>/s (1963&#x2013;1975) to 910&#x2009;m<sup>3</sup>/s (1976&#x2013;2015) in the dry-season discharge (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7C,D</xref>) following the commissioning of the Farraka Barrage in 1975 (<xref ref-type="bibr" rid="ref33">Mirza, 1998</xref>; <xref ref-type="bibr" rid="ref44">Rahman and Rahaman, 2018</xref>; <xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref21">Feist et al., 2023</xref>). The barrage, 18&#x2009;km upstream of the River Padma (Ganges) from the border between India and Bangladesh, diverts flow from the River Padma (Ganges in India) to the River Hooghly in India. As argued by <xref ref-type="bibr" rid="ref9003">Goes et al. (2021)</xref> and is detectable from time series records of river discharge (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7C,D</xref>), dry-season flow of the River Padma declined somewhat steadily to ~500&#x2009;m<sup>3</sup>/s from 1975 to the mid-1990s; implementation of the 1996 Ganges (Padma) Treaty between India and Bangladesh then led to a partial recovery in the mean dry-season flow to ~1,080&#x2009;m<sup>3</sup>/s (1996 to 2015). The reduction in the dry-season flow of the River Padma disproportionately affected downstream distributary discharges including the River Gorai (SW99, <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S8</xref>), which occasionally ceased to flow during the dry season between 1988 and 1998 (<xref ref-type="bibr" rid="ref34">Monirul Qader Mirza and Sarker, 2004</xref>); mean estimated dry-season flow 1988 to 1992 was ~1&#x2009;m<sup>3</sup>/s. This non-linear reduction in river flow has been attributed to both the development of a sandbar inhibiting flow at the mouth of the River Gorai and dry-season extraction of surface water to supply the Ganges Kobadak Irrigation Project (<xref ref-type="bibr" rid="ref9003">Goes et al., 2021</xref>).</p>
<p>Trends in surface water salinity exist within the dynamic seasonal regimes observed in the coastal region of Bangladesh. The freshwater zone in the SC exposed and interior coastal regions has shrunk primarily from the moribund delta in the SW exposed zone (<xref ref-type="fig" rid="fig9">Figure 9C</xref>); here the lateral extent of the freshwater zone reduced by ~13 to ~16&#x2009;km between the periods of 2000&#x2013;2009 to 2010&#x2013;2018. Within the active delta, proximate to contemporary freshwater fluxes from the Rivers Padma, Jamuna and Meghna, the lateral reduction in SC freshwater zone is lower, between 4 and 9&#x2009;km over the same time periods. Notwithstanding small rising trends (Sen slopes) in EC detected most notably at monitoring stations in the exposed SW and SC coastal zones (<xref ref-type="table" rid="tab1">Table 1B</xref> and <xref ref-type="fig" rid="fig10">Figure 10</xref>), the freshwater contour in SW interior coastal zone remained largely unchanged between the periods of 2000&#x2013;2009 to 2010&#x2013;2018 (<xref ref-type="fig" rid="fig9">Figure 9C</xref>). Similar to reductions in dry season discharge, monsoonal flood (95th percentile) discharges of the Rivers Padma and Gorai decreased (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S7A,B, S9</xref>) with a disproportionate (non-linear) 32% reduction in the mean flood discharge of the River Gorai between the periods 1976 to 1995 and 1996 to 2015, relative to a 12% reduction in the flood discharge of the River Padma over the same two periods. Over this latter period (1996&#x2013;2015), the annual flood discharge of the River Gorai (mean: ~3,030&#x2009;m<sup>3</sup>/s, <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>) declined by ~50&#x2009;m<sup>3</sup>/s per year (<italic>p</italic>-value: 0.04).</p>
</sec>
<sec id="sec18">
<label>5.2</label>
<title>Sea level rise, subsidence and seasonal to tidal fluctuations in sea level</title>
<p>The influence of sea-level rise (SLR) on surface water salinity in the coastal region of Bangladesh is itself affected by changes in land elevation due to variable sedimentation rates and subsidence (<xref ref-type="bibr" rid="ref54">Steckler et al., 2016</xref>; <xref ref-type="bibr" rid="ref11">Becker et al., 2020</xref>; <xref ref-type="bibr" rid="ref39">Paszkowski et al., 2021</xref>; <xref ref-type="bibr" rid="ref24">Hanebuth et al., 2022</xref>; <xref ref-type="bibr" rid="ref55">Steckler et al., 2022</xref>). Mean rates of SLR derived from satellite altimetry in coastal Bangladesh are consistent with and, in places (e.g., SE Bangladesh), slightly exceed the global mean of between ~3.3 and ~3.6&#x2009;mm/year (<xref ref-type="bibr" rid="ref4">Akter et al., 2016</xref>; <xref ref-type="bibr" rid="ref57">Ubelmann et al., 2021</xref>). Observed SLR varies from ~3.0 to ~3.5&#x2009;mm/year in the SW coastal region to ~3.5 to ~4.0&#x2009;mm/year in the SC, and ~4.0 to ~5.0&#x2009;mm/year in the SE (<xref ref-type="fig" rid="fig6">Figure 6</xref>). Subsidence rates, recorded from <italic>in situ</italic> observations (<xref ref-type="bibr" rid="ref55">Steckler et al., 2022</xref>), also vary over the coastal region from 5.5 to 8.0&#x2009;mm/year in the SW exposed and interior coastal region (moribund delta) to between 3.7 and 4.6&#x2009;mm/year in the exposed SC coastal region.</p>
<p>The combined influence of SLR and subsidence, the twin drivers of the northward intrusion of saline waters from the Bay of Bengal to the delta, is highest in the SW coastal region where rising trends in surface water salinity in the exposed and interior coasts are greatest (<xref ref-type="table" rid="tab1">Table 1B</xref> and <xref ref-type="fig" rid="fig10">Figure 10</xref>); it is also in the SW exposed coastal region where land elevation is lowest (e.g., <xref ref-type="bibr" rid="ref41">Pinchoff et al., 2019</xref>). Trends in surface water salinity in the exposed and interior coasts of the SC region are lower where combined rates of SLR and subsidence are lower. SLR is greatest in the SE coastal region but its impact on surface water salinity is constrained by a higher land elevation.</p>
<p>Sea level and subsidence vary seasonally (<xref ref-type="bibr" rid="ref57">Ubelmann et al., 2021</xref>; <xref ref-type="bibr" rid="ref55">Steckler et al., 2022</xref>) with lower values occurring in the dry season (e.g., March) when the northward migration of surface water salinity peaks (<xref ref-type="fig" rid="fig8">Figure 8</xref>). As the Bengal Basin is a tide-dominated delta (mean tidal range exceeds 4&#x2009;m, <xref ref-type="bibr" rid="ref9001">Bricheno et al., 2016</xref>), it is also during this period when tidal hydrodynamics can serve to drive seawater furthest inland (<xref ref-type="bibr" rid="ref13">Bricheno et al., 2021</xref>). Although spatial variability in the magnitude of observed trends in surface water salinity in the coastal region (i.e., higher salinity trends in the SW than the SC coastal region) is consistent with observed trends in the combined influences of SLR and subsidence, substantial changes in surface water salinity in the SW coastal region between periods 2000&#x2013;2009 and 2010&#x2013;2018 are not observed (<xref ref-type="fig" rid="fig9">Figure 9C</xref>) as noted above.</p>
</sec>
<sec id="sec19">
<label>5.3</label>
<title>Intensity and frequency of tropical cyclones</title>
<p>Salinity rises observed in the dry season preceding the 2007 monsoon, follow in 2006 the lowest monsoonal river discharge ever recorded to that date at River Gorai (SW99, <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S7A</xref>) and the lowest monsoonal river discharge recorded at River Padma (SW90, <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S7B</xref>) since 1989. Annual rainfall in the Bengal Basin in 2006 was also the lowest recorded to that date since 1994 (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S12</xref>). In the SW coastal region in 2014, sharp rises in surface water salinity are again observed in clusters 4 and 5 (<xref ref-type="fig" rid="fig5">Figure 5</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>) independent of the landfall of any tropical cyclones. These increases occur during the dry season that follows monsoonal discharge at River Gorai (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S7A</xref>) that is even lower than in 2006 and the lowest in the entire time series from 1972 to 2016.</p>
<p>Although these two intervals represent pre-cyclone and cyclone periods (<xref ref-type="fig" rid="fig11">Figure 11C</xref>), the disconnection between the timing of cyclones and salinity rises means that the salinity incursion between these two time periods is better explained by a 20% reduction in the median monthly discharge of the River Gorai. Reductions in dry-season (February to April) river discharge of ~26% not only influence the salinity of intruding water from the Bay of Bengal (<xref ref-type="bibr" rid="ref15">Chaitanya et al., 2015</xref>) but may also be driven, in part, by freshwater capture through groundwater-fed irrigation (<xref ref-type="bibr" rid="ref53">Sherin et al., 2020</xref>; <xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>). In the SE coastal region, increases in the salinity of surface water are largely limited to near-sea areas and, with few exceptions, mostly unchanged between these two periods. Full to partial recovery from sharp rises in salinity is observed in clusters 1, 2, 4 and 6 (<xref ref-type="fig" rid="fig6">Figure 6</xref>), which are better connected to more voluminous seasonal river discharge than clusters 3 and 5 (e.g., <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S10</xref>: cluster 5&#x2014;SW105, 107.2, 258, 28, and 243) located in the SW and SE coastal regions. The precise processes by which these episodic rises in surface water salinity persist, require further investigation (<xref ref-type="bibr" rid="ref8">Ayers et al., 2017</xref>). The impacts of tropical cyclones and storm surge inundation on river-water salinities can be short-lived as our observations show. However, the impact of tropical cyclones may be more substantial for inland water bodies especially within polders, in case of their breach, and coastal water-logged wetlands due to inhibited drainage and evaporation effects.</p>
</sec>
<sec id="sec20">
<label>5.4</label>
<title>Local human influences on surface water salinity</title>
<p>Human interventions such as polders and upstream diversions alter sedimentation patterns in the coastal region of Bangladesh. These are largely thought to interrupt sedimentation inside polders, reducing subsidence but also a relative elevation through impeded deposition (<xref ref-type="bibr" rid="ref7">Auerbach et al., 2015</xref>). Subsequent breaches in the form of storm surges and cyclones inundate these areas with brackish water from the surrounding tidal channels and deposit salt-rich sediments, leading to the salinisation of surface water bodies in polders. Shrimp farming in southwestern Bangladesh during dry season also leads to increases in the salinity of water and soil around shrimp ponds (<xref ref-type="bibr" rid="ref8">Ayers et al., 2017</xref>; <xref ref-type="bibr" rid="ref31">Mahtab and Zahid, 2018</xref>). The impact of these human activities on surface water salinity monitored outside of polders and remote from shrimp ponds remains unclear. As cited above, dry-season irrigation of Boro rice through groundwater abstraction reduces baseflow contributions to surface water through freshwater capture (<xref ref-type="bibr" rid="ref52">Shamsudduha et al., 2022</xref>), lowering river discharge, as reviewed above in section 5.1, that is most visible during the dry season. Use of cross-dams in tidal distributaries to trap fresh surface water for dry-season irrigation also serves to increase measured dry-season surface water salinity (<xref ref-type="bibr" rid="ref26">Rashid et al., 2013</xref>).</p>
</sec>
<sec id="sec21">
<label>5.5</label>
<title>Uncertainty in observational data</title>
<p>The outcomes presented here are rooted in the analysis of the largest number of time series observations of surface water salinity in the Bengal Basin to date. Uncertainty in these observations and their processing exist and include most notably:</p>
<p><italic>Seasonally occurring data gaps</italic>: During the monsoon season in Bangladesh, which usually peaks between July and October, gaps can occur in observations due primarily to the logistical challenges of collecting field data during severe flooding. Missing data were imputed using a Random Forest algorithm, <italic>MissForest</italic>, to enable the computation of Sen slopes (trends) as these cannot be calculated if there are gaps in the dataset.</p>
<p><italic>Geospatial interpolation of point data</italic>: This process involves the estimation of values at unsampled locations based on the values measured at a finite set of points. The reliability of the interpolated values depends on the quality and representativeness of the original data as well as the interpolation method used. We used the Empirical Bayesian Kriging (EBK) for interpolation as it calculates the semi-variogram from known data locations and uses this single semi-variogram to make predictions at unknown locations. Semi-variogram analysis of surface water EC data in this study shows a strong spatial dependence up to a distance of 50&#x2009;km, suggesting that the EBK algorithm is suitable for interpolation.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec22">
<label>6</label>
<title>Conclusion</title>
<p>Observed changes in surface water salinity in the Bengal Basin, the world&#x2019;s largest deltaic system, demonstrate considerable spatiotemporal variations. Records over the last 3 decades (1990&#x2013;2019) from a network of 86 monitoring stations in the coastal region of Bangladesh, the largest dataset analysed to date, show a pronounced spatial structure in which mean 2001&#x2013;2017 surface water salinities are brackish in the southwest (SW) and southeast (SE) coastal regions but fresh in the south-central (SC) region. Lower salinities in the SC region correspond to areas flushed by the discharge of Rivers Padma (Ganges), Jamuna (Brahmaputra) and Meghna (active delta); higher salinities occur in areas receiving substantially lower river discharge via distributaries draining the River Padma (moribund delta) in the SW and smaller river catchments in the SE. Statistical clustering identifies six patterns in the time series data that strongly reflect this spatial structure across the coastal region as well as northward and eastward transitions from brackish to fresh (EC &#x003C;1,500&#x2009;&#x03BC;S/cm) water in the SW coastal region.</p>
<p>Distinct seasonality in surface water salinity is observed and related to strong seasonal (intra-annual) variations in river discharge. In much of the coastal region (SW inland, SC, and SE), surface water salinities over the year can vary by 10 to 30% and are highest during the dry season between February and April and lowest during the monsoon from June to August. In the exposed and interior SW coastal regions (moribund delta) that are most distant from the seasonal freshwater fluxes from the Rivers Padma, Jamuna and Meghna, seasonal highs and lows in surface water salinity occur later (lagged) and can exceed 100%. Indeed, north of the Sundarbans, the contour between fresh and brackish water migrates northward, on average each year, between ~20 and ~40&#x2009;km during the dry season.</p>
<p>Surface water salinity is generally rising over time in the coastal region of Bangladesh; exceptions to this trend occur primarily in inland coastal regions where declining trends are marginal and at two stations in the exposed SE coastal region where existing surface water salinities are very high. Rising trends in surface water salinity are highest in the exposed SW and SC coastal regions. Abrupt increases in surface water salinity are observed throughout the coastal region in response primarily to changes in river discharge and rainfall. In the SW coastal region, the magnitude of the salinity rise between pre-cyclone (2000&#x2013;2005) and cyclone (2006&#x2013;2010) periods is greater than observed changes in long-term (2000&#x2013;2017) mean salinity. Coastal regions which are better connected to more voluminous seasonal river discharge (active delta) show full or partial recovery to these episodic inundations whereas areas less-well flushed by river discharge (e.g., moribund delta) do not.</p>
<p>Evidence from observational records of surface water salinity in Bangladesh highlights the importance of variations in river discharge in driving salinity increases in the coastal region. Both sea-level rise and reductions in dry-season river discharge in distributaries arising from local and basin-wide use of both surface water and groundwater for irrigation likely exacerbate the landward migration of brackish and saline waters. The amplification of seasonal and daily rainfall extremes through global warming may serve to accentuate spatiotemporal variations in salinity in the coastal region of Bangladesh with greater increases in salinity in areas like the SW coastal region that experience lagged and lower seasonal river flow (moribund delta), relative to areas that are better connected to more voluminous seasonal river discharge (active delta). Observations and analyses detailed here provide a baseline for understanding the consequences of global environmental change and informing climate-resilient adaptation strategies in coastal environments of Bangladesh and other Asian mega-deltas.</p>
</sec>
<sec sec-type="data-availability" id="sec23">
<title>Data availability statement</title>
<p>The datasets of surface water salinity, river discharge and rainfall in this article are not readily available because they are the property of the Government of Bangladesh and its agencies, the Bangladesh Water Development Board (BWDB) and Bangladesh Meteorological Department (BMD). Requests to access the datasets should be directed to these agencies through online data portals at the BWDB (<ext-link xlink:href="http://www.hydrology.bwdb.gov.bd/" ext-link-type="uri">http://www.hydrology.bwdb.gov.bd/</ext-link>) for surface water salinity and river discharge, and the Bangladesh Meteorological Department (BMD) (<ext-link xlink:href="https://dataportal.bmd.gov.bd/" ext-link-type="uri">https://dataportal.bmd.gov.bd/</ext-link>) for rainfall. Summary statistics of these time series datasets can be made available upon request to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec24">
<title>Author contributions</title>
<p>MH, MS, and RT conceived the analysis. MH and MS conducted the analysis. MH and RT wrote the original manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec25">
<title>Funding</title>
<p>The authors acknowledge the support to the lead author of a Commonwealth Doctoral Scholarship (Ref. BDCS-2017-60) from the UK Commonwealth Scholarship Commission funded by UK FCDO (Foreign, Commonwealth &#x0026; Development Office) and provision of invaluable field data operated and managed by the Bangladesh Water Development Board (BWDB). MS, RT, and MH acknowledge the support of a grant from the Research England awarded through the UCL Public Policy QR Policy Support Fund 2023, <italic>Improving water-supply resilience in Bangladesh through research and policy engagement</italic> (RESIPY). RT acknowledges support of a Fellowship (Ref. 7040464) from CIFAR (Canadian Institute for Advanced Research) under the Earth-4D program.</p>
</sec>
<sec sec-type="COI-statement" id="sec26">
<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="sec100" 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>
</sec>
<sec sec-type="supplementary-material" id="sec27">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/frwa.2024.1220540/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/frwa.2024.1220540/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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