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<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>
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<article-meta>
<article-id pub-id-type="publisher-id">1607126</article-id>
<article-id pub-id-type="doi">10.3389/feart.2025.1607126</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>Shoreline dynamics of an urbanised estuarine beach under the influence of changing sediment budgets</article-title>
<alt-title alt-title-type="left-running-head">Kennedy 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.2025.1607126">10.3389/feart.2025.1607126</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kennedy</surname>
<given-names>David M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Yuan</surname>
<given-names>Runjie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>McCarroll</surname>
<given-names>R. Jak</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Jin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Beetham</surname>
<given-names>Eddie</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Ierodiaconou</surname>
<given-names>Daniel</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Geography</institution>, <institution>Earth and Atmospheric Sciences</institution>, <institution>The University of Melbourne</institution>, <addr-line>Parkville</addr-line>, <addr-line>VIC</addr-line>, <country>Australia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Regional Coastal Adaptation and Planning</institution>, <institution>Department of Energy, Environment, and Climate Action</institution>, <addr-line>East Melbourne</addr-line>, <addr-line>VIC</addr-line>, <country>Australia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Tonkin and Taylor Ltd.</institution>, <addr-line>Auckland</addr-line>, <country>New Zealand</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Life and Environmental Sciences</institution>, <institution>Deakin University</institution>, <addr-line>Warrnambool</addr-line>, <addr-line>VIC</addr-line>, <country>Australia</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/799636/overview">Abani Kumar Patra</ext-link>, Tufts University, United States</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/1076418/overview">Hongchao Dun</ext-link>, Lanzhou University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3079667/overview">Morgane Jolivet</ext-link>, Tour du Valat, France</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: David M. Kennedy, <email>davidmk@unimelb.edu.au</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1607126</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Kennedy, Yuan, McCarroll, Liu, Beetham and Ierodiaconou.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Kennedy, Yuan, McCarroll, Liu, Beetham and Ierodiaconou</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>Sandy beaches within estuaries and bays are dynamic landforms. As many large urban centres are located on the margins of these enclosed marine systems the beaches that form their shoreline are often subject to significant management intervention. Understanding the geomorphological evolution of these beaches and their future evolutionary pathways is therefore difficult as it requires detangling human modification of sediment budgets from natural variability. In this study, a multiproxy shoreline analysis is undertaken of a 3 km long fetch-limited beach in Port Phillip Bay, Australia. The beach is divided into several sediment compartments delineated by groynes and natural rocky outcrops, each exhibiting shoreline rotation on the seasonal scale leading to lateral profile movement of up to 40 m. The medium-term (last 30 years) sediment budget is approximately &#x2b;3,000 m<sup>3</sup>/year due to longshore drift and nourishment. Beach nourishment over the last 40 years accounts for 25% of the total sediment budget. This has balanced the loss of natural sediment supply from cliff erosion caused by erosion protection works such as seawalls. It is concluded that groyne construction has enhanced shoreline rotation patterns on a seasonal scale. Overall, this study shows how human modifications to the sediment budget were initially negative but now maintain a functioning geomorphic environment. Full consideration of the seasonal-scale shoreline dynamics is required to understand longer (decadal-scale) beach evolution.</p>
</abstract>
<kwd-group>
<kwd>estuarine beach</kwd>
<kwd>Port Phillip Bay</kwd>
<kwd>longshore transport</kwd>
<kwd>nourishment</kwd>
<kwd>compartments</kwd>
<kwd>drones</kwd>
<kwd>shoreline proxy</kwd>
</kwd-group>
<contract-sponsor id="cn001">Department of Energy, Environment and Climate Action<named-content content-type="fundref-id">10.13039/100022716</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Geoscience and Society</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Beaches within estuaries and bays (BEBs) are dynamic systems that are often neglected in research due to a perception that they are simply scaled down versions of open-ocean systems (<xref ref-type="bibr" rid="B28">Jackson et al., 2017</xref>; <xref ref-type="bibr" rid="B39">Nordstrom and Jackson, 2012</xref>; <xref ref-type="bibr" rid="B52">Vila-Concejo et al., 2020</xref>; <xref ref-type="bibr" rid="B53">Vila-Concejo et al., 2024</xref>). While their energy environment is often lower than on coasts directly exposed to deep-water ocean waves, modelling their response to sea-level rise is difficult as their morphology and dynamics are strongly related to local-scale boundary conditions. For example, many may only be active during high-energy events rather than modal conditions, especially deep inside the estuarine basin away from the open-ocean entrance (<xref ref-type="bibr" rid="B20">Goodfellow and Stephenson, 2005</xref>; <xref ref-type="bibr" rid="B29">Kennedy, 2002</xref>; <xref ref-type="bibr" rid="B19">Gallop et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Costas et al., 2005</xref>). Those connected to major sediment sources such as flood-tide deltas (<xref ref-type="bibr" rid="B17">Fellowes et al., 2021</xref>; <xref ref-type="bibr" rid="B19">Gallop et al., 2020</xref>; <xref ref-type="bibr" rid="B5">Bittencourt et al., 2001</xref>) are more able to adjust their profile to changing energy conditions compared with those dependant on highly localised sediment sources such as cliff erosion (<xref ref-type="bibr" rid="B27">Jackson et al., 2002</xref>; <xref ref-type="bibr" rid="B52">Vila-Concejo et al., 2020</xref>).</p>
<p>Human development on the margins of estuaries and bays also adds additional complexity to understanding future behaviour (<xref ref-type="bibr" rid="B38">Nordstrom, 1992</xref>). The shorelines of urbanised beaches are often highly developed with sea walls, groynes, pipes and other hard structures dominating the intertidal zone (<xref ref-type="bibr" rid="B37">Nordstrom, 1989</xref>; <xref ref-type="bibr" rid="B3">Bird and Lewis, 2014</xref>; <xref ref-type="bibr" rid="B32">Kennedy et al., 2025</xref>). In many cases, beaches are constructed, or nourished, as &#x2018;nature-based&#x2019; coastal defence (<xref ref-type="bibr" rid="B36">Morris et al., 2019</xref>; <xref ref-type="bibr" rid="B26">IUCN, 2020</xref>; <xref ref-type="bibr" rid="B10">Chen et al., 2022</xref>) as well as to create new recreational resources (<xref ref-type="bibr" rid="B22">Hanson et al., 2002</xref>). The result is many BEB&#x2019;s can be considered to be artificial, with their morphology a product of deliberate or unintended management actions.</p>
<p>As urban areas grow, the degree of management intervention into the littoral zone scales through time with development. For understanding contemporary beach dynamics, it therefore becomes necessary to view morphologic behaviour in the context of a history of human modification, both deliberate and unintentional. In this study, we explore the morphodynamics of a highly managed temperate sandy beach in order to understand the tipping points of these vulnerable geomorphic systems through time. Using a fetch-limited system in Port Phillip Bay, southeastern Australia, we aim to understand how the contemporary beach movement is determined by present and past management activity. The aim is to assess the impact of increased human intervention on shoreline behaviour in order to determine how changing management priorities have affected shoreline movement. We use a case-study approach as an example of one pathway of beach behaviour. Such information is critical in the context of greater uncertainty with climate change and population growth which is expected to impact estuarine environments to a greater degree than open-ocean coasts in the future (<xref ref-type="bibr" rid="B53">Vila-Concejo et al., 2024</xref>).</p>
</sec>
<sec id="s2">
<title>2 Regional setting</title>
<p>Sandringham Beach is a 3 km long sandy system (centred at 37&#xb0;57&#x2032;25.47&#x2033;S, 145&#xb0; 0&#x2032;23.61&#x2033;E) located on the northeastern edge of Port Phillip Bay, Victoria, Australia (<xref ref-type="fig" rid="F1">Figure 1a</xref>). The Sandringham embayment is composed of two tertiary-scale sediment compartments, Sandringham Beach and Half Moon Bay, separated by a rocky promontory (Red Bluff, see <xref ref-type="fig" rid="F1">Figure 1b</xref>) (<xref ref-type="bibr" rid="B32">Kennedy et al., 2025</xref>). The beach is found at the base of cliffs (up to 30 m high) formed in sandstones and conglomerates of late Miocene to early Pliocene age (<xref ref-type="bibr" rid="B51">VandenBerg, 2016</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(a)</bold> Location of Sandringham Beach within Port Phillip Bay on the southern, temperate margins of the Australian continent. <bold>(b)</bold> Aerial images of the Sandringham embayment showing the major phases of hard coastal management in the past 150 years and their timing (green and yellow text). The black-white rectangles provide a visual delineation of the sub-compartments through time. The construction of groynes has led to progressive subdivision of the embayment into many sub-compartments, especially since 1990. The position of the wave buoy (data in <xref ref-type="fig" rid="F3">Figure 3</xref>) and examples of transects (red text) (data in <xref ref-type="fig" rid="F7">Figure 7</xref>) are also mapped.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g001.tif">
<alt-text content-type="machine-generated">Map depicting Sandringham Beach near Melbourne, Australia, including key locations such as Sandringham Harbour, Picnic Point, and Half Moon Bay. Historical and current groyne lengths are highlighted, with Southy St and Royal Ave noted. Inset images show groynes from 2010 and 2022. Yellow lines mark seawalls, and a wave buoy is indicated offshore. Black Rock Jetty and Quiet Corner are also marked.</alt-text>
</graphic>
</fig>
<p>Port Phillip Bay is an enclosed estuary 54 km long (north-south) and 32 km wide, extending to 56 km width through the Geelong Arm (<xref ref-type="fig" rid="F1">Figure 1a</xref>). The bay floor is on average 9&#x2013;24 m deep and shallows to &#x3c;5 m depth within 12 km of its bedrock-defined entrance at its southern edge (<xref ref-type="bibr" rid="B13">Dalby et al., 2024</xref>). Tides are microtidal, with a mean spring tide range of 1.4 m at the bedrock-defined entrance, decreasing to 0.9 m further inside the bay (<xref ref-type="bibr" rid="B42">PoM, 2013</xref>). Waves near the entrance have a mean significant height (H<sub>
<italic>s</italic>
</sub>) of 1.0&#x2013;1.5 m, but they do not propagate far inside the estuary past the limit of the floodtide delta. The majority of the bay is fetch-limited dominated by seasonal wind patterns (<xref ref-type="bibr" rid="B20">Goodfellow and Stephenson, 2005</xref>; <xref ref-type="bibr" rid="B2">Bird, 2011</xref>; <xref ref-type="bibr" rid="B31">Kennedy et al., 2023</xref>; <xref ref-type="bibr" rid="B33">Lowe and Kennedy, 2016</xref>) with mean annual H<sub>s</sub> of &#x3c;0.5 m in the Sandringham region (<xref ref-type="bibr" rid="B48">Tran et al., 2021</xref>). Winds are predominantly southerly in the austral summer and northerly in winter. The 100-year return period storm tidal elevation at Sandringham is 1.07 m (<xref ref-type="bibr" rid="B48">Tran et al., 2021</xref>).</p>
<p>Sandringham Beach has been subjected to major management interventions for over a century (<xref ref-type="fig" rid="F1">Figure 1b</xref>). At the northern and southern ends of the compartment, harbours, seawalls and breakwaters were constructed from the 1880&#x2019;s with a major phase of seawall construction occurring in the 1930&#x2019;s and 1940&#x2019;s (<xref ref-type="fig" rid="F1">Figures 1b</xref>, <xref ref-type="fig" rid="F2">2a</xref>). Further to this, the bluffs behind the beach have been buried in building waste presumably to infill old gullies likely similar in form to the current face of Red Bluff or the rear of the Middle sub-compartment (<xref ref-type="fig" rid="F2">Figures 2b,c</xref>). The result of these actions is the eroding cliffs can no longer be considered a significant source of beach sediment.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(a)</bold> Terrestrial grasses and shrubs on an engineered slope behind a seawall at Melrose St (North). <bold>(b)</bold> Shrubs, small trees and grass on the engineered slope at the southern end of the beach viewed from Red Bluff Lookout (South-2). <bold>(c)</bold> Active gullies in the old sea cliff behind Sandringham Beach. Only a few examples of this original geomorphology remain, preserved to show the natural condition of the area. <bold>(d)</bold> The Southy Street Groyne shows beach accumulation on its southern side.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g002.tif">
<alt-text content-type="machine-generated">a. A tranquil beach with golden sand and clear blue water, bordered by greenery and a rocky landscape. b. A winding path along a secluded, sandy beach with cliffs and dense vegetation. c. Eroded rock formations with varied textures and trees atop a sandy terrain. d. A panoramic view of a beach with a vivid blue sky, turquoise sea, and a stretch of sand framed by grass-covered hills.</alt-text>
</graphic>
</fig>
<p>Intentional interference with longshore sediment transport occurred in 1990 (opposite Royal Ave) in the form of a 30 m long rock groyne which was extended to 40 m between 1990 and 2010 (<xref ref-type="fig" rid="F1">Figure 1b</xref>). A second rock groyne 80 m long was constructed in 2006 at Southy St, later shortened to 50 m in 2017 (<xref ref-type="fig" rid="F2">Figure 2c</xref>). The hard structures of groynes and rocky outcrops define five sub-compartments within the embayment (North, Middle, South-1, South-2 and Half Moon Bay (HMB)) (<xref ref-type="fig" rid="F1">Figure 1b</xref>). Nourishment projects have occurred concurrently with groyne construction, focussed on specific sub-compartments, rather than the entire beach at one time (<xref ref-type="table" rid="T1">Table 1</xref>). The first recorded was in 1986, with further projects in 1993, 2009, 2018 and 2021.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Historical details of renourishment activities undertaken in the Sandringham embayment. Updated from <xref ref-type="bibr" rid="B8">Cardno (2016)</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Completion Date (sub-compartments)</th>
<th align="left">Beach Length (km)</th>
<th align="left">Volume (m<sup>3</sup>)</th>
<th align="left">Sediment Source</th>
<th align="left">Nourishment Sand Size</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">August 1986<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left">0.4</td>
<td align="left">No data</td>
<td align="left">No data</td>
<td align="left">No data</td>
</tr>
<tr>
<td align="left">1993 (South-2)</td>
<td align="left">0.6</td>
<td align="left">16,000</td>
<td align="left">No data</td>
<td align="left">&#x3e;1.0 mm</td>
</tr>
<tr>
<td align="left">2009 (South-1)</td>
<td align="left">0.5</td>
<td align="left">12,500</td>
<td align="left">No data</td>
<td align="left">No data</td>
</tr>
<tr>
<td align="left">2018<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="left">0.2</td>
<td align="left">2,830</td>
<td align="left">Birdons near Sandringham Harbour</td>
<td align="left">Fine/Medium</td>
</tr>
<tr>
<td align="left">May - July 2021 (South-2)</td>
<td align="left">0.3</td>
<td align="left">11,909</td>
<td align="left">&#x3e;10 m depth, 800 m WNW of Black Rock Jetty</td>
<td align="left">Fine/Medium</td>
</tr>
<tr>
<td align="left">May - July 2021 (HMB)</td>
<td align="left">0.1</td>
<td align="left">1,078</td>
<td align="left">&#x3e;10 m depth, 800 m WNW of Black Rock Jetty</td>
<td align="left">Fine/Medium</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>The precise location of this renourishment is unknown and may be Quiet Corner and Watkins Bay, adjacent to Black Rock rather than in the Sandringham Embayment (<xref ref-type="bibr" rid="B55">Bird, 1990</xref>; <xref ref-type="bibr" rid="B2">Bird, 2011</xref>).</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>The precise location of this renourishment may be to Hampton Beach.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<p>Shoreline change was analysed from aerial imagery using a vegetated and wetted lines proxy. The vegetation line, defined as the seaward limit of plant growth, was considered to represent the longer-term position of the shoreline and exclude short-term tidal and storm surge dynamics (<xref ref-type="bibr" rid="B7">Burningham and Fernandez-Nunez, 2020</xref>), however it is acknowledged that the active management at the site means a natural equilibrium between plant growth and sedimentation is unlikely to occur. This means the vegetation lines can often correspond to the position of artificial structures such as seawalls. The wetted line, defined by the change in colour of sand resulting from wave and tidal inundation, represents an instantaneous shoreline at the time of image acquisition (see <xref ref-type="bibr" rid="B6">Boak and Turner (2005)</xref>; <xref ref-type="bibr" rid="B41">Pajak and Leatherman (2002)</xref> for a review of these proxy methods). A vertical elevation of 0.5 m AHD which is approximately the location of mean high water spring (MHWS) tide elevation has previously been used to delineate the shoreline by the Victorian Government Department of Energy, Environment and Climate Action, to streamline shoreline analyses. This study also tested the reliability of this delineation using Digital Surface Models (DSM&#x2019;s) produced through Unoccupied Aerial Vehicle (UAV) surveys.</p>
<p>Historical aerial images were obtained from the Victorian Government, spanning 93 years from 1930 to 2023. Vegetation and instantaneous waterlines were manually extracted from the georectified imagery. No tidal correction was applied. The minimum horizontal resolution of older images (pre-2000) is 0.5 m, with a maximum of 0.1 m for newer images (2010 onward). An independent georectification (<xref ref-type="bibr" rid="B9">Carvalho et al., 2020</xref>) of images from the same dataset determined a root mean square error (RMSE) of &#x2264;1 m for images from 1960 onwards and due to the same workflows being conducted in this study we assume that older images have a similar RMSE. Based on a comparison with that dataset, we conservatively estimate an uncertainty of &#xb1;3 m for the extracted vegetation lines based on vectorisation and image errors. All shorelines measured are referenced to the 2019 a tidally-adjusted annual mean wet-dry line extracted from Digital Earth Australia (DEA) (<xref ref-type="bibr" rid="B14">DEA, 2022</xref>; <xref ref-type="bibr" rid="B4">Bishop-Taylor et al., 2021</xref>). The 2019 shoreline was selected as shadows from the cliffs behind the beach, meant many of the shorelines in the DEA database were incorrect. The DEA shorelines have a Mean Absolute Error (MAE) of 7.3 m and RMSE of 10.3 m (<xref ref-type="bibr" rid="B15">DEA, 2025</xref>).</p>
<p>UAV surveys, using a DJI Phantom 4 Pro and RTK models, with RTK-GPS ground control points, were undertaken every 6&#x2013;8 weeks from April 2020 until May 2023 with a vertical and horizontal accuracy (RMS error) of 0.11 and 0.02 m respectively (see <xref ref-type="bibr" rid="B44">Pucino et al. (2021)</xref>; <xref ref-type="bibr" rid="B25">Ierodiaconou et al. (2022)</xref> for methodological and quality assurance details). All imagery was processed into digital surface models using Structure-from-Motion techniques (<xref ref-type="bibr" rid="B54">Westoby et al., 2012</xref>). For all aerial datasets, transects at 30 m spacing were cast across all time steps to analyse shoreline change. Rates of change in shoreline position were calculated based on linear regression of the entire dataset. Further details on the method of integration of UAV and satellite datasets for coastal management can be found in <xref ref-type="bibr" rid="B35">McCarroll et al. (2024)</xref>.</p>
<p>Concurrent with the UAV surveys, a SOFAR Spotter wave buoy was deployed in approximately 10 m water depth, 1.6 km offshore southwest of Black Rock Jetty (<xref ref-type="fig" rid="F1">Figure 1b</xref>). The buoys use high-resolution GPS to measure its vertical and horizontal motion. This 3D motion time series was processed using the Fast Fourier Transform (FFT) to generate the wave energy spectrum, from which significant wave height, wave period, and wave direction are derived. These wave parameters are transmitted to remote servers and visualized via a user dashboard. In this study, the bulk wave parameters were directly obtained from AUSWAVES (<ext-link ext-link-type="uri" xlink:href="https://auswaves.org/">https://auswaves.org/</ext-link>), a national platform for wave observation and data sharing.</p>
<p>To calculate sediment budgets, shoreline position (wetted-line) was used to determine active profile volume. This was completed using the assumptions of equilibrium profile shape, depth of closure and active profile height (for full details see (<xref ref-type="bibr" rid="B34">McCarroll et al., 2021</xref>; <xref ref-type="bibr" rid="B24">Harley et al., 2022</xref>; <xref ref-type="bibr" rid="B16">Dean and Houston, 2016</xref>) (See <xref ref-type="sec" rid="s13">Supplementary Table S1</xref>). As a general rule shoreline change (&#x3b4;X) is a function of the volumetric change (&#x3b4;V) and height of the active profile (h<sub>a</sub>). The depth of closure was estimated from <xref ref-type="bibr" rid="B21">Hallermeier (1980)</xref>) combined with examination of single beam echosounding profiles perpendicular to the field site. Volume may be expressed as per unit alongshore (m<sup>3</sup>/m) or as a total volume (m<sup>3</sup>) by integrating alongshore.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3b4;</mml:mi>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">&#x3b4;</mml:mi>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Shoreline proxies from UAV-imagery</title>
<p>To test the use of time series combining UAV and aerial imagery shoreline proxies, a statistical test was applied to determine the total uncertainty bounds for shorelines derived from these two methodologies. The average time offset between the two datasets is 11.6 days during a period of negligible wave activity and therefore little to no reworking of the profile was assumed. Horizontal uncertainty for the UAV shoreline proxy is &#x2b;/- 1 m (based on 0.1 m vertical uncertainty and assuming a 1-in-10 beach slope). The UAV shoreline proxy was assumed to be more precise than the aerial shoreline proxy. This is because the aerial imagery was not tidally corrected due to the hourly-scale timing of acquisition being unknown and therefore it has unconstrained uncertainty prior to this test. A vertical elevation of 0.5 m above mean sea level (MSL) has previously been used to delineate the shoreline in the region as it is equivalent to MHWS elevation and is also the lowest vertical elevation common to all surveys (<xref ref-type="bibr" rid="B11">CoastKit, 2023</xref>). There is an overlapped surveying period (from December 2020 to September 2021) covered by these two datasets within which the UAV surveys were undertaken at five different dates. Shoreline positions in the aerial imagery obtained close to the UAV survey dates were then interpolated to estimate the instantaneous wet/dry shorelines in the same dates. By comparing the 0.5 m datum against the interpolated digitised shorelines of the aerial imagery, there is a good relationship between the two methods of shoreline delineation (r<sup>2</sup> &#x3d; 0.9) based on the data used in this exercise.</p>
</sec>
<sec id="s4-2">
<title>4.2 Seasonal wave dynamics</title>
<p>The mean significant wave height recorded offshore of the Sandringham Embayment from April 2021 to March 2023 was 0.40 m, with a mean wave period of 2.71 s and a mean SW direction of 234.1&#xb0; (<xref ref-type="fig" rid="F3">Figure 3</xref>). Notably, the significant wave height exhibits apparent seasonality. The significant wave height reaches its maximum (&#x223c;0.45 m) in February, November, and December and its minimum (&#x223c;0.35 m) in May, July, and August (<xref ref-type="fig" rid="F3">Figure 3</xref>). This pattern suggests that wave conditions are primarily influenced by the local weather systems. From May to August, wave directions are bimodal, with waves originating from the NNW and WSW. In December, waves predominantly come from the SWS, indicating a relatively narrow directional spread. During other seasons, waves exhibit a broader range of directions.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Wave roses for measured offshore of Sandringham Beach at 10 m water depth from 2020 to 2023 recorded by a Soffar Spotter&#x2122; buoy and mean significant wave height for each month during the data collection period. Data available through <ext-link ext-link-type="uri" xlink:href="https://auswaves.org/">https://auswaves.org/</ext-link>.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g003.tif">
<alt-text content-type="machine-generated">Monthly wave rose charts and a bar graph depict wave height data throughout the year. Each rose chart represents a month, indicating wave directions and heights using color-coded classifications. The bar graph below shows average wave heights for each month, with February, November, and December having higher averages.</alt-text>
</graphic>
</fig>
<p>In summer (October&#x2013;March), the mean significant wave height was slightly higher at 0.43 m, with a mean SSW&#x2013;SW direction of 219.1&#xb0;. In winter (April&#x2013;September), a lower mean significant wave height of 0.37 m was recorded, with an average WSW direction of 252.5&#xb0;. However, it is important to note that the wind direction remains bimodal throughout winter. No clear seasonal trends were observed in wave period.</p>
</sec>
<sec id="s4-3">
<title>4.3 Historical shoreline change (1930&#x2013;2023)</title>
<p>To understand the trends in shoreline position, an average of all transects taken within sub-compartment was undertaken and analysed with respect to the position of the wetted line in the oldest imagery (<xref ref-type="fig" rid="F4">Figure 4</xref>). Through taking a mean value of all transects, the impact of seasonal variation is reduced thereby allowing better identification of decadal trends, as the seasonal pattern roughly balances itself within each sub-compartment. Overall, the beach at Sandringham was dynamic, but generally stable to accreting over the past 93 years, within the bounds of image uncertainty. HMB and North are 2 and 7 m wider today, while South-1 is 3 m narrower. The Middle sub-compartment is clearly erosional.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Long-term average shoreline position of the entire Sandringham Beach and each of its sub-compartments identified based on the aerial images (wetted line proxy) and UAV data (0.5 m AHD proxy) from 1930 to 2023. Three major nourishment and groyne building exercises are indicated by dashed lines. NB: for illustrative purposes the scale is changed post 2017, to show the more detailed shoreline trends observable in the higher resolution UAV data.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g004.tif">
<alt-text content-type="machine-generated">Line graph showing shoreline changes from 1930 to 2023 at multiple locations: North, Middle, South-1, South-2, HMB, and Sandringham. Data fluctuates with significant changes around groyne constructions and renourishment events. Shoreline in meters is on the y-axis, years on the x-axis.</alt-text>
</graphic>
</fig>
<p>High magnitude variations in the wetted line position were common before 1980. This was particularly noticeable in the 1960&#x2019;s with major retreat (&#x3e;20 m in places) in 1960, followed by rapid accretion in 1963, except at HMB (<xref ref-type="fig" rid="F4">Figure 4</xref>). The shoreline fluctuations were subsequently at magnitudes of &#xb1;5 m until the 1980&#x2019;s after which they tended to be only a few metres between datasets. There is a possibility that the apparent dynamism of the older shorelines is a result of data availability and lower quality of the earlier images. It is also possible that short-term trends in shoreline movement may be causing the apparent spikes in shoreline position in the older time periods, especially as these occur during the period of major hard rock wall construction throughout the embayment.</p>
<p>For all of Sandringham Beach, the wetted shoreline tended to remain stable over long-term scale but accretes at the medium-term scale, with a short period of shoreline retreat and subsequent recovery centred around the 1990&#x2019;s (<xref ref-type="fig" rid="F4">Figure 4</xref>; <xref ref-type="table" rid="T2">Table 2</xref>). The different patterns in change trend were reflected from most sub-compartments (e.g., Middle, South-1 and South-2) with erosion being dominant on the long-term but accretion was dominant at medium-term scale. In comparison, North and HMB showed an accretionary or stable trend over the long-term scale. The average shoreline change trend for Sandringham was accretionary due to nourishment at South-2 while erosion occurred in other sub-compartments (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The position of the wetted-line defined shoreline for those profiles in each sub-compartment with the largest seasonal variation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Compartment (profile &#x23;)</th>
<th align="center">Minimum position</th>
<th align="center">Maximum position</th>
<th align="center">Lateral variation (m)</th>
<th align="center">Mean shoreline change</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">North (109)</td>
<td align="center">&#x2212;24</td>
<td align="center">6.2</td>
<td align="center">30</td>
<td align="center">&#x2212;0.74</td>
</tr>
<tr>
<td align="center">Middle (67)</td>
<td align="center">&#x2212;20</td>
<td align="center">&#x2212;5.1</td>
<td align="center">15</td>
<td align="center">&#x2212;3.0</td>
</tr>
<tr>
<td align="center">South-1 (59)</td>
<td align="center">&#x2212;10</td>
<td align="center">15</td>
<td align="center">26</td>
<td align="center">&#x2212;2.1</td>
</tr>
<tr>
<td align="center">South-2 (47)</td>
<td align="center">1.9</td>
<td align="center">25</td>
<td align="center">23</td>
<td align="center">&#x2b;5.9</td>
</tr>
<tr>
<td align="center">HMB (27)</td>
<td align="center">&#x2212;11</td>
<td align="center">1.7</td>
<td align="center">13</td>
<td align="center">&#x2212;1.27</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data based on UAV, shorelines from 4/12/2020 to 4/5/2023 and measured with respect to the 2019 DEA, shoreline. The mean shoreline change rate is calculated as a linear regression through the entire time period. All data is reported to two significant figures.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The vegetated line within the embayment can be considered to be representative of the long-term position of the sub-aerial, non-beach shoreline. The area immediately behind the beach, at present, is a mix of seawalls and cliffs mantled with natural and artificial talus. The results in a floral community characterised predominately by shrubs and bushes with very minor grass colonisation (<xref ref-type="fig" rid="F2">Figure 2</xref>). There was a slight overall erosion trend (&#x2212;0.05 m/yr, p-value &#x3c;0.001) for Sandringham Beach based on the vegetated line proxy from 1957 to 2021, with significant erosion observed at Middle, South-1 and South-2 sub-compartments (&#x2212;0.07 m/yr, p-value &#x3c;0.001; &#x2212;0.16 m/yr, p-value &#x3c;0.001; &#x2212;0.11 m/yr, p-value &#x3d; 0.001) (<xref ref-type="fig" rid="F5">Figure 5a</xref>) (<xref ref-type="table" rid="T2">Table 2</xref>). In contrast, a significant slow accretion trend occurs in the North sub-compartment (0.03 m/yr, p-value &#x3d; 0.01). The magnitude of change of the vegetation line varied from &#x2212;8 to 7 m between 1957 and 1974, while reduced to &#xb1;2 m between 2018 and 2021 (<xref ref-type="fig" rid="F5">Figure 5a</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(a)</bold> Long-term shoreline position changes of Sandringham beach and each sub-compartment identified from aerial images based on the vegetated line from 1957 to 2021. Each point represents the average of all positions from each transect contained within each sub-compartment. Three major management exercises are indicated by dashed lines. The progradation of the shoreline at Half Moon Bay requires further investigation and likely is related to dune grass or annual species such as <italic>Cackile</italic> sp. growing on the beach. The shadowing of the beach by the backing cliffs inhibited accurate extraction of this proxy between 1970 and 2021. NB: for illustrative purposes the scale is changed post 2017, to show the more detailed shoreline trends observable in the higher resolution UAV surveys. <bold>(b)</bold> Volumetric change above 0.5 m AHD along the Sandringham Beach Embayment, capturing the addition of sand during the 2021 nourishment and the subsequent redistribution of the material throughout each sub-compartment over 2 years. &#x201c;All&#x201d; represents all the sub-compartments excluding Half Moon Bay (HMB).</p>
</caption>
<graphic xlink:href="feart-13-1607126-g005.tif">
<alt-text content-type="machine-generated">Two graphs show shoreline and volume changes over time. Graph (a) depicts shoreline position from 1957 to 2021 across multiple locations (North, Middle, etc.), with renourishment periods and groyne installations marked. Graph (b) illustrates volume changes from December 2020 to April 2023 across the same locations, highlighting a renourishment period.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-4">
<title>4.4 Seasonal shoreline dynamics</title>
<p>Based on the monthly-scale UAV surveys, the beach exhibited strong seasonal fluctuations in shoreline position and elevation (<xref ref-type="fig" rid="F6">Figure 6</xref>). Digital surface models show vertical change of around 1.5 m at the northern and southern ends of each sub-compartment (<xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>). On average, the northern end of beach was 30 m wider than the southern end within each sub-compartment. At southern end of the Sandringham Beach (sub-compartments South-1 and South-2) embayment, the beach widened and narrowed seasonally by up to 30 m on either side of the rock groynes. During the winter period (Apr-Sep), the dominant direction of longshore sediment movement was north to south, causing erosion at the northern end of sub-compartments (south side of groynes) and accretion at the southern end of sub-compartments (north side of groynes). The opposite trend occurred during summer. A similar pattern of seasonal change is also found around intertidal rocky outcrops at the northern end of the beach (<xref ref-type="fig" rid="F7">Figure 7</xref>). The greatest amount of beach accretion was found at the south end of South-2 between May and July 2021 caused by the nourishment during a period of southerly longshore drift (<xref ref-type="fig" rid="F6">Figure 6a</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Examples of spatial patterns of seasonal shoreline change (since 2020) for the South-1 and South-2 sub-compartments which received significant nourishment in 2021. Analysis is based on UAV surveys. Lateral shoreline progradation and retreat is represented by the spatial extent of the respective colour ramps. Areas with no red-blue colour ramp are stable during the represented temporal scale. The DEM changes are represented for the periods <bold>(a)</bold> May-July 2021, <bold>(b)</bold> April to June 2022, <bold>(c)</bold> June to August 2022, <bold>(d)</bold> October to November 2021, <bold>(e)</bold> December 2021 to February 2022, and <bold>(f)</bold> November 2022 to February 2023.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g006.tif">
<alt-text content-type="machine-generated">Satellite images show seasonal shoreline changes from May 2021 to February 2023. Six panels display shifts in a coastal area during winter (April-September) and summer (October-March). Yellow arrows indicate sand movement, with color coding for elevation changes. A map scale and north arrow are included.</alt-text>
</graphic>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Examples of spatial patterns of seasonal shoreline change (since 2020) for the North sub-compartment which has generally accreted over the past 93 years. Analysis is based on UAV surveys. Lateral shoreline progradation and retreat is represented by the spatial extent of the respective colour ramps. Areas with no red-blue colour ramp are stable during the represented temporal scale. The DEM changes are represented for the periods <bold>(a)</bold> April to June 2022, <bold>(b)</bold> June to August 2022, <bold>(c)</bold> October to November 2021 and <bold>(d)</bold> November 2022 to February 2023.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g007.tif">
<alt-text content-type="machine-generated">Satellite images show shoreline changes over four periods. Images (a) and (b) display winter (April-September) changes for April-June 2022 and June-August 2022. Images (c) and (d) show summer (October-March) changes for October-November 2021 and November 2022-February 2023. Yellow arrows indicate shoreline movement. An inset indicates elevation change, with colors ranging from -1.5 meters to &#x2b;1.5 meters. The area includes a beach, vegetation, and residential zones.</alt-text>
</graphic>
</fig>
<p>At the individual transect scale, the rate of shoreline change varied seasonally from &#x2b;/- 20 m per year in the southern parts of each sub-compartment to &#x2b;30/&#x2212;40 m/yr at their northern ends (<xref ref-type="fig" rid="F8">Figure 8</xref>). The northern areas accreted during summer and eroded during winter, while in the southern half the reverse pattern occurred (<xref ref-type="fig" rid="F8">Figure 8</xref>). The transfer of sediment within each sub-compartment was almost evenly balanced (North) or had a very minor net deficit (Middle, South-1 and HMB) (<xref ref-type="fig" rid="F8">Figure 8</xref>). Only South-2 varies from this pattern, with a net positive sediment budget. Here, significant accretion occurred in winter throughout the sub-compartment, except at its northern end. This distinctly different seasonal trend is attributed to the nourishment exercise undertaken in the winter of 2021, when the net direction of sediment movement was southerly.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The seasonal shoreline dynamics between 2020 and 2023 of each sub-compartment can be observed through the variation in the rates of shoreline change as measured on each 30 m transect along the entire Sandringham Embayment. Each transect was classified as &#x2018;north&#x2019; or &#x2018;south&#x2019; based on its position relative to the midpoint within the sub compartment. The majority of transects are characterised by either winter or summer deposition. The dashed lines represent a linear regression for each sub-compartment. The sediment budgets in each sub-compartment are considered balanced when the linear regression passes through the origin, while being negative or positive when to the left or right of the origin respectively.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g008.tif">
<alt-text content-type="machine-generated">Scatter plot showing winter and summer change rates in meters per year across different sub-compartments. Colored shapes represent regions: triangles for North, squares for Middle, diamonds for South-1, large diamonds for South-2, and circles for HMB. Lines indicate deposition and erosion trends. Sub-compartment legend included.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-5">
<title>4.5 Cross sectional beach dynamics</title>
<p>Overall, the beachface profiles, as observed through cross sections, are generally reflective in nature with the steep slopes (6.5&#xb0;) characterising the intertidal zone (<xref ref-type="fig" rid="F9">Figure 9</xref>). The beach generally terminated, at the landward end, at around 2 m above mean sea level (MSL), where it intersected either hard infrastructure or cliff slopes. Overall, across the entire embayment, the top of the beach berm, the limit of wave deposition was found at an elevation of between 1.5 and 2.0 m above MSL. The active beach envelope (excluding the renourished area (South-2)) for the last 3 years ranged between 10 and 25 m laterally and 1.0&#x2013;1.5 m vertically, with HMB having the smallest envelope (<xref ref-type="fig" rid="F9">Figure 9</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Beach profile dynamics along an example single transect <bold>(a)</bold> the southern end of Half Moon Bay, <bold>(b)</bold> the middle of the Middle, and <bold>(c)</bold> the southern end of South-1 sub-compartments to illustrate the change in profile position that occur over the seasonal scale.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g009.tif">
<alt-text content-type="machine-generated">Three line graphs compare shoreline transects from different dates. Graph (a) shows Half Moon Bay (transect 12), graph (b) shows the Middle section (transect 68), and graph (c) shows South-1 (transect 50). Each graph plots elevation above mean sea level (AHD) against cross-shore distance in meters. Multiple colored lines represent data from various dates, illustrating changes over time. A legend details the specific dates corresponding to each line.</alt-text>
</graphic>
</fig>
<p>In the areas where the profile was most active, at the edges of the sub-compartments adjacent to the groyne structure, the mean variation in wetted-shoreline position ranged from 16.62 m (Middle) to 30.35 m (North). The average rate of change for the last 3 years was only positive in the renourished South-2 sub-compartment (5.97 m/yr) with the Middle sub-compartment retreating the most at &#x2212;3.09 m/yr (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Shoreline change trends over different timescales of each sub-compartment as indicated by wetted line and vegetated line.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Sub-compartment</th>
<th align="left">North</th>
<th align="left">Middle</th>
<th align="left">South-1</th>
<th align="left">South-2</th>
<th align="left">HMB</th>
<th align="left">Entire beach</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="8" align="left">Wetted Line</td>
</tr>
<tr>
<td rowspan="2" align="left">1930&#x2013;2023</td>
<td align="left">Mean (m/yr)</td>
<td align="left">0.1 &#xb1; 0.1</td>
<td align="left">&#x2212;0.1 &#xb1; 0.03</td>
<td align="left">&#x2212;0.1 &#xb1; 0.1</td>
<td align="left">&#x2212;0.0 &#xb1; 0.0</td>
<td align="left">0.0 &#xb1; 0.1</td>
<td align="left">0.0 &#xb1; 0.1</td>
</tr>
<tr>
<td align="left">p-value</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.01</td>
<td align="left">0.2</td>
<td align="left">0.6</td>
<td align="left">0.4</td>
</tr>
<tr>
<td rowspan="2" align="left">1990&#x2013;2023</td>
<td align="left">Trend (m/yr)</td>
<td align="left">0.2 &#xb1; 0.1</td>
<td align="left">0.1 &#xb1; 0.1</td>
<td align="left">0.5 &#xb1; 0.0</td>
<td align="left">0.5 &#xb1; 0.1</td>
<td align="left">0.1 &#xb1; 0.2</td>
<td align="left">0.3 &#xb1; 0.2</td>
</tr>
<tr>
<td align="left">p-value</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.12</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
</tr>
<tr>
<td rowspan="2" align="left">2020&#x2013;2023</td>
<td align="left">Trend (m/yr)</td>
<td align="left">0.2 &#xb1; 2.3</td>
<td align="left">&#x2212;1.8 &#xb1; 1.0</td>
<td align="left">&#x2212;0.6 &#xb1; 0.6</td>
<td align="left">3.6 &#xb1; 1.7</td>
<td align="left">&#x2212;0.7 &#xb1; 1.8</td>
<td align="left">0.50 &#xb1; 2.6</td>
</tr>
<tr>
<td align="left">p-value</td>
<td align="left">0.4</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.04</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.02</td>
<td align="left">0.03</td>
</tr>
<tr>
<td colspan="8" align="left">Vegetation line</td>
</tr>
<tr>
<td rowspan="2" align="left">1957&#x2013;2021</td>
<td align="left">Trend (m/yr)</td>
<td align="left">0.0 &#xb1; 0.0</td>
<td align="left">&#x2212;0.1 &#xb1; 0.1</td>
<td align="left">&#x2212;0.2 &#xb1; 0.1</td>
<td align="left">&#x2212;0.1 &#xb1; 0.0</td>
<td align="left">&#x2212;0.11</td>
<td align="left">&#x2212;0.1 &#xb1; 0.1</td>
</tr>
<tr>
<td align="left">p-value</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.2</td>
<td align="left">&#x3c;0.001</td>
</tr>
<tr>
<td rowspan="2" align="left">2018&#x2013;2021</td>
<td align="left">Trend (m/yr)</td>
<td align="left">&#x2212;0.6 &#xb1; 0.6</td>
<td align="left">&#x2212;0.6 &#xb1; 0.3</td>
<td align="left">0.0 &#xb1; 0.4</td>
<td align="left">&#x2212;0.2 &#xb1; 0.2</td>
<td align="left">&#x2212;2.26</td>
<td align="left">&#x2212;0.4 &#xb1; 0.5</td>
</tr>
<tr>
<td align="left">p-value</td>
<td align="left">&#x3c;0.001</td>
<td align="left">0.01</td>
<td align="left">0.6</td>
<td align="left">0.2</td>
<td align="left">0.5</td>
<td align="left">0.01</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>Sandringham Beach is a system that has been subjected to significant human intervention in the past 145 years (<xref ref-type="bibr" rid="B8">Cardno, 2016</xref>; <xref ref-type="bibr" rid="B2">Bird, 2011</xref>). The first phase of intervention prioritised the stability of the subaerial landscape rather than the beach. This occurred most intensively from the 1880&#x2019;s to 1950&#x2019;s when harbours/marinas and seawalls were built, the former being constructed at either end of the sediment compartment. Armouring of the cliff occurred concurrently with these activities. All these activities were detrimental to the beach sediment budget, through blocking sand supply from the subaerial cliffs and interrupting longshore transport. Effectively these activities changed the sediment compartment from being open to closed (sensu Thom et al., 2018). This management scheme led to shoreline retreat from 1960 up to the 1990&#x2019;s for the centre and southern ends of Sandringham Beach, with some accretion at the northern end of the beach at the downdrift end of the longshore sediment transport system. Enhanced shoreline erosion due to seawall construction is common especially in estuarine settings (<xref ref-type="bibr" rid="B37">Nordstrom, 1989</xref>). The main period of shoreline recession occurs after 1980, preceded by a period characterised by large shoreline fluctuations (1950&#x2013;1980). The large fluctuations preceding a period of sustained retreat may imply a sediment system not in equilibrium and therefore in a period of adjustment to the major infrastructure construction activities being undertaken. While the total amount of retreat is low at Sandringham (&#x2212;0.1 &#xb1; 0.1 m/yr based on the vegetation line since 1957), the narrow width of the beach meant it necessitated a change in management approach.</p>
<p>From 1990, groyne construction and nourishment became the primary management tool. This had the effect of progressively subdividing the tertiary compartment into smaller units (sub-compartments) (<xref ref-type="fig" rid="F1">Figure 1</xref>). Seasonal rotation of the beach planform has been noted previously (<xref ref-type="bibr" rid="B2">Bird, 2011</xref>; <xref ref-type="bibr" rid="B33">Lowe and Kennedy, 2016</xref>), however the subdivision of the beach into smaller units made this adjustment quite pronounced (<xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>). The creation of the sub-compartments by 2006 saw the shoreline progressively widen until around 2018 where its position remained relatively stable. Groyne construction was accompanied by nourishment which assisted progradation and its impact of management can be observed in comparing the rates of shoreline change after 1990 (<xref ref-type="table" rid="T2">Table 2</xref>) (<xref ref-type="fig" rid="F10">Figure 10</xref>). Sub-compartments which were previously eroding became accretionary (zone A). Only the North Sub-compartment is continually accreting as it is at the downstream end of the littoral drift system and has greater lateral accommodation space (<xref ref-type="bibr" rid="B33">Lowe and Kennedy, 2016</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Shoreline change, based on the wetted-line proxy, trends per transect through the Sandringham Embayment. The trend from 1930 to 2023 represents the long term trajectory of shoreline movement (x-axis) while the 1990&#x2013;2023 shoreline movement shows the trends under the current active management schemes (y-axis) Each sub-compartment distinctly clusters within three zones, Zone A where nourishment and groynes has caused accretion, Zone B where accretion has always occurred, and Zone C an area of long-term retreat.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g010.tif">
<alt-text content-type="machine-generated">Scatter plot showing shoreline movement trends from 1930 to 2023. The x-axis represents historical movement, and the y-axis represents post-1990 trends. Four zones are identified: Zone A (Post-Management Accretion), Zone B (Continual Accretion), Zone C (Continual Erosion), and Post-Management Erosion. Data points are categorized by region: HMB (blue circles), South-2 (orange circles), South-1 (gray circles), Middle (orange squares), and North (blue triangles).</alt-text>
</graphic>
</fig>
<p>Only one sub-compartment (Middle) shows continual erosion, except in the wetted line proxy 1990&#x2013;2023 (<xref ref-type="table" rid="T2">Table 2</xref>). Here, the beach rests on top of an intertidal shore platform backed by a rocky cliff. The beach thickness here is low (&#x3c;1 m), and this location likely operates more as a rocky shoreline with an ephemeral beach veneer (<xref ref-type="bibr" rid="B30">Kennedy and Milkins, 2015</xref>; <xref ref-type="bibr" rid="B50">Trenhaile, 2004</xref>). As rocky coasts are erosional in nature (<xref ref-type="bibr" rid="B47">Stephenson et al., 2013</xref>; <xref ref-type="bibr" rid="B49">Trenhaile, 1987</xref>) the long term retreat of this location is therefore not surprising.</p>
<p>As Sandringham Beach has undergone significant modification, it is necessary to differentiate between the natural and artificial sediment budgets to understand its future evolutionary trajectory. The sediment budget for the nourishment activities is based on reported volumes of sand added to the profile, though the accuracy of historical records is less than ideal. For sediment budget calculations, it is assumed that profile volume change is the product of shoreline change and active profile height (<xref ref-type="bibr" rid="B16">Dean and Houston, 2016</xref>; <xref ref-type="bibr" rid="B45">Rosati, 2005</xref>) (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>) (<xref ref-type="sec" rid="s13">Supplementary Table S1</xref>). This is generally a good assumption over longer time periods where longshore transport gradients are responsible for accretion/erosion. Conversely, this is a poor assumption where shoreline change is due alteration of the profile shape, e.g., soon after storms or nourishments. In the case of Sandringham, storm erosion is known to be minimal; however, total profile volume may be overestimated immediately following nourishments, until the profile shape re-adjusts (&#x223c;1-year) (<xref ref-type="bibr" rid="B1">Beetham et al., 2023</xref>). Through this approach, the natural sediment budget for Sandringham Beach is slightly positive over the long term, but less than the nourishment volumes. On the short term (last 3 years) the natural volume change is almost the same as the nourishment volume (<xref ref-type="table" rid="T4">Table 4</xref>). The natural source of sand is most likely alongshore from adjacent compartments (<xref ref-type="bibr" rid="B2">Bird, 2011</xref>; <xref ref-type="bibr" rid="B33">Lowe and Kennedy, 2016</xref>; <xref ref-type="bibr" rid="B32">Kennedy et al., 2025</xref>) although an offshore source, from below 7 m depth, cannot be discounted (<xref ref-type="bibr" rid="B13">Dalby et al., 2024</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Calculated sediment budget for the Sandringham Embayment.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Time period</th>
<th align="center">1930&#x2013;2023 (long term)</th>
<th align="center">1990&#x2013;2023 (medium term)</th>
<th align="center">2020&#x2013;2023 (short term)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Shoreline trend (m/yr)</td>
<td align="center">0.02</td>
<td align="center">0.25</td>
<td align="center">0.50</td>
</tr>
<tr>
<td align="center">Renourishment volume (m<sup>3</sup>)</td>
<td align="center">28,000</td>
<td align="center">28,000</td>
<td align="center">12,000</td>
</tr>
<tr>
<td align="center">Natural volume (m<sup>3</sup>)</td>
<td align="center">1946</td>
<td align="center">104,825</td>
<td align="center">12,150</td>
</tr>
<tr>
<td align="center">Rate of change (m<sup>3</sup>/yr)</td>
<td align="center">322</td>
<td align="center">4,025</td>
<td align="center">8,050</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The embayment is 2.3 km long and the relief of the active profile from wave base to upper limit of swash is 7 m.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>An alternate approach for understanding sediment budgets for the past 3 years can be taken through directly measuring volumetric change (<xref ref-type="fig" rid="F5">Figure 5b</xref>). The UAV data shows that South-2 accreted by 6,433 m<sup>3</sup> post-nourishment representing 51% of the volume introduced by the contractor, the latter estimated by a pump delivery rate rather than direct measurement. The nourishment led to an increase of beach volume up to 7,007 m<sup>3</sup> when compared with December 2020. This material was then reworked by April 2022, but 93% returned in the summer of 2022&#x2013;2023. Given the presence of extensive subtidal bars, sediment exchange between the subaerial and submarine components is to be expected (<xref ref-type="bibr" rid="B46">Short and Jackson, 2013</xref>). The variation in UAV-measured volume therefore likely relates to sediment exchange above and below mean sea level.</p>
<p>While the volumes measured from the UAV are less than those calculated from standard sediment budgets equations (<xref ref-type="bibr" rid="B16">Dean and Houston, 2016</xref>), given the different proxies and assumptions of the methods plus the UAV only measures subaerial change, the calculated longshore drift rates can be considered geomorphically similar. These rates (maximum 8,050 m<sup>3</sup>/yr) (<xref ref-type="table" rid="T4">Table 4</xref>) are at the lower end of measured longshore transport rates of 3,600&#x2013;13,300 m<sup>3</sup>/yr on estuarine beaches with a 7&#x2013;9 m wide active beachface exposed to a 15 km fetch at Fire Island New York, USA (<xref ref-type="bibr" rid="B28">Jackson et al., 2017</xref>; <xref ref-type="bibr" rid="B40">Nordstrom et al., 2003</xref>). The wave height on Fire Island was 0.1&#x2013;0.3 m. A similar wave height also caused longshore drift rates of 12,000 m<sup>3</sup>/yr on beaches 20 m wide in the Tagus Estuary Portugal (<xref ref-type="bibr" rid="B18">Freire and Andrade, 1999</xref>). The maximum H<sub>s</sub> during the past 3 years at Sandringham Beach was 0.41 m and while slightly larger than those measured at Fire Island and Tagus Estuary, it is likely that the strong seasonal rotation drives the lower longshore transport rates at the entire compartment scale measured in this study. The rates at Sandringham Beach are however an order of magnitude less than those of open-ocean beaches such as Collaroy-North Narrabeen in eastern Australia which also undergoes major seasonal rotation of the planform profile (<xref ref-type="bibr" rid="B23">Harley et al., 2015</xref>).</p>
<p>The fluctuations in shoreline position and the associated sediment budget show that Sandringham Beach is mobile, with only a small sediment deficit (<xref ref-type="fig" rid="F11">Figure 11</xref>). The recent nourishment program in 2021 had the most significant change on the shoreline dynamics acoss the entire beach, excluding the rocky sub-compartment. Associated with this shoreline dynamic has been a background rise of mean sea level within Port Phillip Bay of 4.8 mm in the past 29 years based on data from the Hovell Pile near the entrance to Port Phillip Bay (<xref ref-type="bibr" rid="B43">PSM, 2022</xref>) but the shoreline trends, at least at present, appear to be operating independently of this driver.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>A summary of the shoreline trends at Sandringham Beach in association with changing management priorities, beach behaviour and associated sediment budgets.</p>
</caption>
<graphic xlink:href="feart-13-1607126-g011.tif">
<alt-text content-type="machine-generated">Graph showing shoreline changes from 1950 to 2023, with vertical lines indicating management events. The blue line represents the wetted line proxy, and the green line denotes the vegetation line proxy. The chart includes annotations for management modes, beach behavior, and sediment budget, with color-coded bars indicating changes.</alt-text>
</graphic>
</fig>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>Sandringham Beach represents an important beach form, namely, a sandy system in a fetch-limited embayment removed from the influence of deepwater ocean swell. Such systems are found globally in large estuarine embayments and are commonly the location of significant urban development. Sandringham Beach, and much of the shoreline of Port Phillip Bay, is highly managed with beach nourishment having replaced hard armouring as the primary method of management of the sediment budget. The change in management schemes has been partly driven by a change in priorities from protection of the hinterland to maintenance of a functioning sedimentary system for recreation and as nature-based coastal defence.</p>
<p>It is found that management interventions on the beach have been a major driver of shoreline change in the past century. While seawalls initially reduced natural sediment supply, this has been balanced recently by nourishment programs (<xref ref-type="fig" rid="F11">Figure 11</xref>). Of greatest significance to shoreline movement has been the subdivision of the tertiary-scale compartment into several sub-units through the construction of groynes. This subdivision has enhanced the seasonal rotation of the beach, by containing the sediments within small compartments which operate quasi-independently on a seasonal basis. This likely has had the effect of slowing the decadal-scale longshore migration of sand along the northeastern coastline of Port Phillip Bay. As nourishment now replaces the previously supply of sediment sourced from cliff erosion, the beach system can be considered as in an equilibrium state. Our findings show how understanding the sediment dynamics over seasonal to decadal scales can lead to the sustainable management of the coastal environment.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>All data is available through the publicly accessible Victorian State Government, Department of Energy, Environment and Climate Action, Coastal Datashare Portal, <ext-link ext-link-type="uri" xlink:href="https://datashare.maps.vic.gov.au/">https://datashare.maps.vic.gov.au/</ext-link> The data can also be requested directly from the lead/corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>DK: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. RY: Data curation, Formal Analysis, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. RM: Conceptualization, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Supervision, Writing &#x2013; review and editing. JL: Data curation, Formal Analysis, Software, Writing &#x2013; review and editing. EB: Formal Analysis, Validation, Writing &#x2013; review and editing. DI: Conceptualization, Funding acquisition, Investigation, Methodology, Supervision, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This project was supported by funding from the Victorian Government Department of Energy, Environment, and Climate Action and Victorian Coastal Monitoring Program (VCMP) through the Sustainability Fund.</p>
</sec>
<sec sec-type="in-memoriam" id="s14">
<title>In memoriam</title>
<p>This paper is dedicated to the memory of Emeritus Professor Eric Bird who passed away in 2023 after a career dedicated, in part, to the beaches of Port Phillip Bay.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>Author EB was employed by Tonkin and Taylor Ltd.</p>
<p>The remaining 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="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<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="s13">
<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.2025.1607126/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2025.1607126/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.xlsx" id="SM1" mimetype="application/xlsx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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