A long-term dataset of topography and nearshore bathymetry at the macrotidal pocket beach of Porsmilin, France

Long-term datasets documenting the evolution of coastal forms and processes, through the provision of recurring beach as well as shoreface morphological observations and accompanying time-series of environmental controls, remain difficult to collect and are rarely made available. However, they are increasingly needed to further our understanding of coastal change and to improve the models that will help planning what our future coast will be. This data descriptor presents the results of topographic and bathymetric surveys at Porsmilin, a macrotidal embayed beach situated in Brittany, northwest France. The Porsmilin beach survey program was launched in January 2003 by the Institut Universitaire Européen de la Mer (IUEM/Univ. Brest) and is continuing today in the framework of the French coastal observation service SNO-DYNALIT. The dataset contains over 16 years of monthly beach profile surveys and a large collection of repeated high-resolution subtidal and subaerial digital elevation models (DEMs). The dataset is accompanied by time-series of inshore waves and water levels, and enriched metadata, that will facilitate its future reuse in coastal research.

www.nature.com/scientificdata www.nature.com/scientificdata/ Field data collected at Porsmilin have been used to investigate the morphodynamic response of macrotidal embayed beaches 31,35 , equilibrium modelling of the beach profile 36 , and the conditions controlling beach cusps development 37 . They also contributed to a regional assessment of the shoreline dynamics of the Brittany coast 38 , and erosion and recovery following extreme storm activity during the 2013-2014 winter at both local 39 and European scales 33,34 . Other studies interested in the methods for collecting and processing these geomorphic data present detailed information and validation of the techniques implemented in the survey program [40][41][42] .
Starting in 2019, after reaching sixteen years of running the Porsmilin survey program, the dataset was completely revamped with the aim that unrestricted access to the complete and archived data would follow. Doing so allowed for the incorporation of recent advances in geomorphic processing and validation techniques, providing consistent and well-documented data that will be easily reused by others for their analyses. Accompanying the results of our field surveys, we provide hourly wave hindcasts and tidal levels, obtained with the help of external organisations, for the period 2000-2019.

Methods
Site description. The approximately 2470 km-long Brittany coastline in northwest France protrudes into the Atlantic Ocean and abuts the English Channel to the North (Fig. 1a,b). This jagged coastline chosen by Mandelbrot to illustrate fractals in nature 43 is essentially rocky and contains beaches of moderate size (42% are shorter than 200 m and only 12% are longer than one km, based on a sample of 600 beaches 38,44 ), often characterised by moderately to highly indented planform geometries.
Situated at the entrance of the Bay of Brest, Porsmilin is a narrow (200 m long), moderately indented, macrotidal embayed beach nested in the wider Bertheaume embayment and facing south-southwest (Fig. 1). The sandy beach is flanked by cliffs on both sides (~15 m tall, orthogneiss and diabase composition) and is backed by small dunes (~1-2 m tall) separating the beach from a brackish water marsh. The dunes have been repeatedly reshaped by storms and increasing human interventions since at least the 1940s. The intertidal beach is also bounded East and West by bedrock reefs, uncovered at low tide and extending offshore, and by a small headland to the West. Eastward, part of the shoreline is backed by a rip-rap protected seawall remnant of WW2 abutting a carpark. Other human alterations include a small boat ramp and a water outlet pipe eastward of the beach, where a small stream was previously running. The semi-enclosed configuration, together with a shoreline orientation roughly parallel to incoming waves, accompanies a predominantly cross-shore forcing of the beach sediment 31,35,36 . The beach typically consists of a berm during summer months, alternating with semi-persistent sand bars forming in the intertidal and subtidal zones 31 . The average beach gradient ranges from 0.02-0.04 on the shoreface to 0.04-0.08 on the intertidal and upper beach. Beach cusps regularly form in the swash zone during higher tides, as a result of wave action, and present typical length scales ~20-40 m.
Sediment samples collected across the beachface are characterized by medium-grained quartz sand (D 50 = 0.32 mm), with some cross-shore variability associated to coarser sediment near the crest of intertidal and swash bars (D 50 = 0.7 mm) 45 . Cobble patches are exposed intermittently, principally on the upper beach. Likewise, peat outcrops can be seen near the low-tide water line following energetic waves and erosion of the sand. Using such basal peat deposits, dating along the coast of western Brittany shows that the first generation of sand dune formations initiated from ca. 4000 cal BP (calibrated year before present), with the slowing down of relative sea level rise. At Porsmilin, the onset of present-day dunes was dated to around 770 cal B.P., with a last phase of stabilization dated to ca. 350 cal BP 46,47 .
The deepwater wave climate is highly energetic in this part of the Atlantic Ocean called the Iroise Sea, with a mean Hs ~2.0 m and Tp ~10 s estimated in 60 m water depth using the Pierres Noires wave buoy (Fig. 1b,d). Yet, due to a prominent continental shelf with numerous islands and reefs, which affect wave propagation, wave exposure at the coast is very heterogeneous 38 . The wave climate also exhibits strong seasonal change in wave energy. This generally traduces by relatively calm seas during summer (mean Hs ~1.4 m, Tp~9 s) contrasting with powerful winter storms (10.2 m and 12.3 m significant wave heights for 1 and 10-year storm return periods, respectively). Throughout a typical year, 47% of swell waves originate from a W direction, 36% are from the WNW and 17% from the WSW (Fig. 1d). Superimposed on seasonal modulations, longer-term trends in wave climate represented by North Atlantic Oscillation (NAO) and West Europe Pressure Anomaly (WEPA) indices are responsible for large fluctuations in winter wave energy, which can potentially traduce by the occurrence of exceptional winters in terms of storminess and storm clustering 33,48,49 .
Due to its orientation away from dominant storm tracks, waves are significantly reduced when they reach Porsmilin (mean Hs ~0.7 m estimated in 15 m water depth, Fig. 1c,e), which tends towards the lower-energy low-tide terrace beach state 31,36,50 . Tides are macrotidal and semidiurnal with a mean neap and spring tidal range of 2.7 and 5.7 m 51 , respectively. Despite a relatively sheltered location, the beach adjusts quickly to changes in hydrodynamic conditions with morphological proxies observed to change over a tidal cycle during energetic waves 31,37 . Over the duration of the monitoring program, severe erosional events occurred, the most notable being during the 2013-2014 boreal winter, which was among the most energetic since at least 1948 for most of the European Atlantic coast 33,39 . Particularly, erosion of the small dune cordon and overwash in January 2014 was followed by man-made reprofiling and consolidation of the dune-embankment at a more landward position.
Field surveys. Table 1 lists the different field survey products obtained over the period 2003-2019 and contained in the complete archived dataset 52 .
Beach profile surveys consists in measuring positions along a central cross-shore profile, following a line from the dune-embankment down to the low-tide waterline. Positions are recorded using high-accuracy RTK-GNSS (simply named 'GPS' in the dataset). Topographic surveys are timed to coincide with low tides. Survey frequency was approximately weekly for the first year then fortnightly between January 2004 and June 2005. Thereafter, survey frequency was reduced to a more sustainable near-monthly approach, although gaps in www.nature.com/scientificdata www.nature.com/scientificdata/ the data eventually occurred, such as in 2013 (Fig. 2a). Daily surveys over approximately one-week periods were also carried out at a few instances during the course of the program (e.g., in April 2011 and October 2014). The cross-shore spacing between survey points is adapted to the terrain morphology, ranging from near-continuous (i.e., approximately 0.1 m) where it is complex, up to several metres in morphologically simple areas with homogeneous terrain slope. As is common practice, measured cross-shore profiles initially formatted as three-column x (easting), y (northing), z (elevation) matrices were projected onto the best-fit transect line determined by least-squares (y = 2.072 x + 6560.283, Pearson R = 0.99, n = 253) to be expressed in terms of vertical elevation versus horizontal cross-shore distance from the profile head (chainage). In 2014, the profile head was moved to a new position approximately 19 m landward, to adjust to the retreating dune position, without changing the orientation of the surveyed line (cf. Table 2). For all profiles, a zero chainage corresponds to this new profile head location.
To allow GPS surveys, a landmark serving as a base-station setting point was materialized atop the beach and geodetic survey marks installed on stable ground (e.g., rock outcrops and human structures) for accuracy verification (refer 'Technical Validation'). Coordinates used for the dataset are metric and referenced to the legal coordinate system for metropolitan France, i.e., RGF93-Lambert 93 horizontal and NGF-IGN69 vertical (EPSG:5698). Elevation zero (m NGF) corresponds to approximately 0.5 m below mean sea level (MSL).
In addition to line surveys along the central cross-shore profile, surveys of the whole beach have also been undertaken. Between March and April 2004, a total of six 3D point clouds (Fig. 2b) of the subaerial beach excluding the reef, corresponding to surveyed areas between 15,000 and 30,000 m 2 (cf. Online-only Table 1), were obtained using the GPS survey method.
From 2009 onwards, time-of-flight terrestrial laser-scanning (survey method 'TLS') and unmanned aerial vehicle (UAV) photogrammetry (survey method 'PHO') were progressively implemented in parallel to the on-going profile surveys, with the intention to better capture geomorphic changes and underlying processes through increasing coverage and spatial resolution. Particularly, photogrammetry and laser-scanning made possible the efficient measurement of the small dune-embankment, intertidal reef and cliffs.
TLS and PHO surveys start with the measurement of ground control points (GCPs) using RTK-GNSS for data georeferencing and verification. TLS scans are collected at 360° horizontally from different locations (called stations) to achieve uniformly high resolution across the beachface and to reduce occlusions. Typically, two Subaerial and subtidal beach DEM Central cross-shore profile Table 1. Summary of Porsmilin topographic and bathymetric survey program. a Number of surveys until end 2019. b Data fusion between topographic and bathymetric DEMs. c Data fusion between measured beach profiles and DEM-extracted bathymetric profiles allowed us to increase the number of data fusions possible (cf. Fig. 2d). www.nature.com/scientificdata www.nature.com/scientificdata/ stations were enough providing they were correctly positioned cross-shore centrally on the beach. With such configuration, much of the subaerial beach is no further than 100 m from the laser head. A Riegl LMS-Z390i laser-scanner with a vertical scanning range of 80° and an angular resolution of 0.07° was used until 2014, progressively replaced by a VZ-400 of the same manufacturer allowing even smaller angular resolution at 0.04° and a vertical scanning range of 100°. In either case, this corresponds to a maximum ground sampling distance of approximately 0.1 m at a distance of 100 m. Obtained point clouds are processed using the laser proprietary software RiSCAN PRO v1.7-2.0 for scan registration and geo-referencing (http://www.riegl.com/products/ software-packages/riscan-pro/), and CloudCompare (http://www.cloudcompare.org/) for data interpolation into a DEM. The manufacturer stated positional accuracy and precision for the VZ-400 (LMS-Z390i) is 5(6) and 3(4) mm, respectively. This is an order of magnitude below the 3D root-mean square errors (RMSE) we estimated using GCP coordinates during processing, which yield overall scan precision of 0.026 ± 0.01 m (μ σ ± 1 , n = 74, cf. Online-only Table 2).
Drone imagery and GCPs have been processed using the popular Structure-from-Motion (SfM) method implemented in Agisoft Photoscan (now Metashape; https://www.agisoft.com/), to produce geo-referenced DEMs and orthophotographs of the subaerial beach (Online-only Table 3 & 4). Different UAVs and optics have been used since the first photogrammetric surveys in 2006, starting with custom-built helicopter and multi-rotor drones equipped with a digital single lens reflex (DSLR) camera 40,41 . Profiting from the recent advent of high-quality commercial drones, drone surveys are now assured by a DJI Phantom 4 Pro and Phantom 4 RTK. Flying heights are typically around 80 m (maximum of 110 m), translating to a maximum ground pixel size of 0.02 m. Using some GCPs as check points (ChkPts) shows an overall photogrammetric 3D precision (RMSE) to be within the range 0.02 -0.1 m (μ = 0.044 m, σ = 0.037 m, n = 6, cf. Online-only Table 3). Photogrammetric surveys before 2014 were initially designed to be processed using traditional stereo-photogrammetric workflows 40 . To be consistent with other surveys, these datasets were later reprocessed using the SfM method.
In total, 24 bathymetric DEMs have been obtained over the period 2008-2019 from hydrographic surveys using a boat-mounted multi-beam echo sounder (survey method 'MES' , Online-only Table 5). Bathymetric surveys are generally undertaken during spring high tides to achieve good coverage of the upper shoreface. A topographic survey (DEM or profile) is often planned the same day at low tide ( Fig. 2), providing independent data for quality verification and data fusion. Fusion DEMs and profiles (survey method 'FUS') are seamless subaerial and subtidal DEMs and transect lines obtained through averaging elevations at the overlap between concurrent topographic and bathymetric surveys (cf. Online-only Table 6 & 7). The hydrographic equipment aboard the ship consists in a multi-beam echo sounder (RESON SeaBat 8160 until the end of 2011, KONGSBERG EM 3002 thereafter) connected to RTK-GNSS and inertial measurement unit sensors. In addition, one or multiple sound speed profiles of the water column are acquired during the survey using a dedicated celerity probe. Using the EM 3002 (similar specifications prevail for the SeaBat), data are recorded by 254 equidistant beams emitting sound pulses at 300 kHz. Angular resolution is set to 120°, resulting in a maximum lateral coverage of approximately 50 m per track and inter-beam distances of 0.2 m at 15 m water depth (the maximum depth at the study area). Planning, collection and processing of bathymetric data are done using QPS Qinsy software suite (https://qps. nl/qinsy/), which after guided correction of inertial movements of the boat, sound celerity gradients and tidal effects, allows producing bathymetric DEMs with sub-metre spatial resolutions and theoretical accuracies/precisions ~0.1 m.
Using quality-controlled DEMs (cf. explanation below), elevation transects were systematically extracted corresponding to the central cross-shore profile line, hence producing bathymetric and fusion profiles, and increasing the number of subaerial beach profiles for the period 2003-2019 from initially 253 to 280 (Table 1, Fig. 2a). Figure 3 summarizes the key steps for preparing the final dataset. Starting in 2019, an important effort was devoted to revamp the dataset, particularly DEMs, which were obtained using different survey methods, in order to produce a suite of consistent observations easily comprehensible and reusable.

Data harmonization.
To facilitate reuse of the data and to allow direct comparisons, a standard sampling resolution of 0.5 m and consistent DEM grids were chosen to fit the entire dataset. Using a grid spacing of 0.5 m preserved high data quality, particularly for photogrammetry and laser-scanning allowing higher resolutions, while maintaining file size small for efficient handling. Consequently, some surveys were resampled (using linear interpolation) to  www.nature.com/scientificdata www.nature.com/scientificdata/ a resolution higher than their initial sampling distances. This is the case of nine bathymetric surveys until end 2011 initially produced at 1 m and the six GPS point clouds obtained in 2004. Although small-scale bed features (<1 m) may not be detectable using extrapolated DEMs, the negative impact of up-sampling a small portion of the DEMs over the duration of the dataset on change detection analyses (e.g., sand budgeting) is assumed to be minimal at the beach scale.
To reduce operators' influence on decisions such as filtering outliers and filling gaps in initial data, all DEMs were applied the same post-processing routine that consists in (i) using the mean elevation difference parameter to filter extreme deviations 53,54 (here DEM elevations outside the range 5 μ σ + , with μ and σ calculated for each surface grid cell using a three-by-three moving window), and (ii) reasonably filling missing data by averaging at least three known elevations. For the latter, search is done within circles centred on the missing DEM cell with radii increasing incrementally (increment = grid spacing) until at least three known values are found or until a size limit is attained (1 and 10 m over reef and sand, respectively). Reef/sand classification was performed using a combination of orthoimage and roughness analyses. The results of post-processing are reported in the metadata accompanying each DEM and are summarized in Online-only tables.
As a final step, all DEMs were assessed for systematic and random errors, with eventual corrections applied (cf. 'Technical Validation'). Doing so enabled for the provision of total error estimates for each survey and ensured altimetric consistency throughout the duration of the monitoring program, these two steps being important prerequisites for allowing reliable change detection using long-term morphological datasets 55 . Waves. Continuous hourly wave characteristics directly offshore of Porsmilin in approximately 15 m water depth are provided for the period January 2000-December 2019. The wave dataset starts three years before the field surveys to provide antecedent conditions that may be useful for understanding and modelling beach state at the start of the field surveys 22,56 . Wave parameters provided are the significant wave height (Hs), peak (Tp) and mean (T02) wave periods, and peak wave direction (Dir). They were derived from sea-states hindcast databases developed by Ifremer, using the node point 47554 (48°20'47.76" N, 4°40'52.32" W, Fig. 1

Data Records
The archived datasets presented herein, spanning 2003-2019 for field surveys and 2000-2019 for waves and tides can be accessed at Indigeo 52 . With the monitoring program continuing, we intend to update the data on an annual basis through DOI versioning. Field survey products as they continue to be updated can also be accessed and visualised at https://www.dynalit.fr/La-carte-des-sites/Porsmilin#/map.

technical Validation
Profile surveys. Measured beach profiles were systematically validated using geodetic survey marks. There are now five survey marks distributed across the study site materialized by cast metal disks sunk into bedrock and an additional survey mark affixed to the top of a pipe sunk into the dune-embankment and materializing the profile head (Fig. 4b). Re-analysis of survey marks' coordinates indicates GPS precisions (estimated as one standard deviation) along x (easting), y (northing) and z (elevation) of 0.012, 0.015 and 0.035 m, respectively, which is close to the maximum precision achievable using this survey method 62 .
DEM surveys. The proportion of surface cells considered outliers represented no more than five permille, considering all topographic and bathymetric DEMs (μ = 3.6 permille, σ = 0.8, n = 72), with little differences between survey methods. The proportion of cells that were interpolated amounted to less than 16 permille on average over sandy sections (μ = 15.5 permille, σ = 27.8, n = 72). Disparities between surveys exist, but there is no clear relation with the survey method used. Small gaps in coverage of sandy sections can be due to different reasons, including spurious elevations most often due to people on the beach, that were filtered, light or laser reflections on wet surfaces, insufficient image texture locally preventing effective pixel matching for photogrammetry,  www.nature.com/scientificdata www.nature.com/scientificdata/ and incomplete boat tracks due to obstacles, waves and time running short. Although surveys are designed to limit gaps, they cannot be avoided entirely. A sensitivity analysis (not shown) of the filling method was conducted by varying the maximum radius for search and the minimum numbers of known values for interpolating a missing DEM cell. The analysis was performed on a composite DEM (Fig. 4a), to which gaps of variable size provided from other DEMs were artificially created (resulting in the deletion of approximately 12,000 cells). Using a maximum radius for search of 10 m and a minimum number of known elevations set to three enabled to fill most data gaps ( >99%) without impacting the reliability of interpolated sand levels (mean error (ME) and standard deviation of error (SDE) ~10 −6 and 0.01 m, respectively). Importantly, this traduced to a sand volume error of only 0.4 m 3 over the complete DEM size, which is several orders of magnitude below the uncertainty that would be associated to a typical beach survey precision of 0.1 m. (c,d,e) Hourly (black) and 28-day running mean (green) estimates of inshore (node 47554) significant wave height (Hs), peak wave period (Tp) and peak wave direction (Dir), respectively. Grey and orange bars in (c) show significant storms (i.e., Hs exceeding Hs 95 over at least 12 hours, where Hs 95 is the wave height that is exceeded only 5% of the time over a one-year period) and clusters of storms (i.e., successive storms with interstorm duration less than 5 days), respectively. (f) Sand volumes per metre of alongshore beach length estimated using measured and DEM-extracted profiles over the upper intertidal beach (chainage ≤ 90 m, light grey), lower intertidal beach (chainage = 90-160 m, dark grey) and complete beach face (chainage ≤ 160 m, red).
www.nature.com/scientificdata www.nature.com/scientificdata/ In line with recent studies advocating for quantitative statements regarding data quality, to ensure reliable morphological analyses using coastal topographic data 28 , technical validation of this dataset was possible using a variety of error statistics adapted to the survey methods and all reported in this data descriptor. Errors estimated at intermediate stages of the dataset preparation (e.g., RMSE reported by photogrammetry and laser-scanning software) can sometimes be misleading, as they may not include all possible error sources, and hence cannot be used confidently to ascertain consistency between topographic and bathymetric products forming this long-term dataset.
Final DEM quality was assessed in terms of accuracy, precision and reliability through fit-for-purpose experiments. Accuracy or bias, reported as the mean error, and survey precision, reported as the standard deviation of error, were estimated in comparison with a reference DEM (ground truth) comprising the most stable parts of the study site (cf. explanation below). Using the comparison with a ground truth also enabled to detect eventual tilts (i.e., out-of-plane rotations) in DEMs by fitting a linear surface by least-squares to elevation residuals (DOD). The locations where the data overlapped between topographic and bathymetric surveys provided a final means of confirming the reliability of the data.
For ground truths, we used composite DEMs limited to reef obtained by averaging all available DEMs iteratively, such that only the most consistent DEMs (corresponding to approximately 25% rejection after statistical testing at one standard deviation on bias and precision) and surface cells with high representation (i.e., cells estimated using at least two-third of available DEMs) were retained. The bathymetric ground truth counted over 130,000 known elevations, computed using 19 independent measurements (out of 24), with at-a-cell vertical precision of 0.07 m (determined as one standard deviation between independent measurements, averaged over all cells). Similar results were obtained for the topographic counterpart, but due to the large difference in area covered, the ground truth accounted for just over 10,000 truth elevations (cf. Table 6). The at-a-cell vertical precision is a good proxy for the overall precision of the dataset, as it characterises the ability to effectively replicate measurements over time.
Using the ground truths, DEMs that initially presented a vertical bias (>0.1 m) but high precision, suggesting a systematic and easily rectifiable shift in elevation, generally owing to improper setting of the vertical datum, were corrected, effectively reducing registration errors across the dataset (Table 6). DEMs identified as presenting large and complex errors (e.g., tilts) are not included in the dataset. This essentially concerns photogrammetric DEMs collected prior 2014. Final error statistics are provided in the metadata accompanying DEMs and are presented in Online-only tables for this paper. The evaluation shows that all survey methods were able to produce high quality data, shown by bias and precision mostly below 0.1 m. No clear degradation of data quality resulting from measuring submerged topographies can be observed. Note that because GPS DEMs are limited to sand, where morphological changes occur, this prevented us from using the data validation procedure presented above. Where possible, a GPS DEM was compared with a synchronous (i.e., same day) cross-shore profile, also providing information on mean deviations, precision and tilt.
As demonstrated in previous work, HOMERE and NORGAS-UG have been validated at both global and regional levels using a combination of in-situ measurements, remote sensing from satellite altimeters and outputs from the NOAA/NCEP configuration of WW3 63,64 . We further assessed the capability of these wave hindcasts to provide realistic offshore and inshore conditions for Porsmilin by comparing hindcast data at the nearest grid point to available wave buoy measurements (http://candhis.cetmef.developpement-durable.gouv.fr/) at Pierres Noires and Porsmilin (WW3 nodes 47039 and 47562, respectively). The Pierres Noires buoy (Fig. 1b,d)   www.nature.com/scientificdata www.nature.com/scientificdata/ has recorded bi-hourly wave estimates in 60 m water depth since October 2005. Between March and April 2004 (period not covered by NORGAS-UG), a directional wave buoy was installed temporarily offshore Porsmilin (Fig. 1c). Intercomparing outputs from HOMERE and NORGAS-UG taken separately enabled assessment of the models' reliability over the common period of hindcast (i.e., 01/2008-12/2016, n = 78,912).
The results of the validation for all four wave parameters (Hs, Tp, T02 and Dir) at both offshore and inshore locations, using the Pearson correlation coefficient R, mean bias (estimated as 'hindcast -measured data' for model-buoy comparisons and 'NORGAS-UG -HOMERE' for model inter-comparisons) and RMSE, are presented in Table 7. HOMERE and NORGAS-UG both demonstrate overall excellent skill modelling offshore and inshore waves, particularly for Hs, with R values constantly above 0.97. Agreement with in-situ data decreases slightly for Tp, T02 and Dir. The latter was observed in previous research 22,63,64 and explained by the differences in accounting for mixed sea states (i.e., the superimposition of different wave periods and/or directions) by wave buoys and hindcast, respectively.
Tides. Water levels are based on validated tidal gauge measurements provided by Shom, the French authority regarding tidal model development and tidal observation, operating over 30 stations across metropolitan France 60 . Gaps in hourly measured tidal levels over the period 1970-2019 represented 3.6% of the data.

Usage Notes
Field surveys. Using the dataset, subaerial sediment dynamics from event to pluri-annual time scales can be assessed through sediment budget analyses, complemented since 2008 by approximately bi-annual bathymetric surveys capturing sediment transfers with the shoreface. Due to relocation of the profile head in 2014, profile comparisons are best performed by excluding the first 20 meters or so, as this section of the beach was not measured before 2014. Likewise, quantification of back beach and foredune-embankment changes will benefit from analysing separately the surveys undertaken before and after relocation of the profile head.
DEMs provide very detailed maps of beach morphology and allow for numerous cross-shore and alongshore profiles to be extracted. DEMs are provided on a constant grid making for easy computations of temporal changes without requiring intermediate steps, while format selection ensures that DEMs are readily usable with a variety of GIS and scientific programming software. Error estimates provided in the metadata are directly usable to feed uncertainty-based geomorphic change detection analyses, as the reliability of findings can be greatly improved by correctly accounting for measurement uncertainty 55 . Waves. Hindcasted wave parameters were validated using both offshore and inshore wave buoys, showing good agreement, particularly for Hs. However, careful analysis of models' comparisons with the Pierres Noires wave buoy (offshore buoy), for which observations cover several winters, suggests that the most energetic events may not be captured as well by the models, potentially resulting in reduced wave heights in comparison to buoy readings (sometimes up to 10% reduction). This effect was observed in previous research 63,64 . It can be explained, in decreasing order of importance, by the accuracy of the forcing fields (e.g., wind and current) and the behaviour of the physical parameterizations, which may be particularly sensitive during storms. Although the Porsmilin wave buoy (inshore buoy) captured wave heights above 2 m, no reduction in modelled wave heights was observed. The validity of this finding may be hindered however by the short period of observation.
Water levels. All significant tidal levels can be accessed at ref. 51 (p. 30). They can be used to transform the vertical datum used in this study (m NGF) to have a zero-mean equal to mean sea level, by subtracting 0.52 m. Water levels provided here do not include surges at the coast, which are the result of a combination of meteorological and sea-state factors not measured, and which may be important during storms. Surges can be evaluated using coastal models hindcasts (http://marc.ifremer.fr/en/resultats/niveaux). Likewise, analysis of shoreline water levels requires computing the total run up at the shore from the wave hindcasts provided and adding tidal levels, which may be done using equations presented in ref. 65 Table 6. Validation of the DEM dataset for the different survey methods. All values are presented as 1 μ σ ± , determined using all DEMs of the same method. Individual error statistics from which these values are derived are presented in Online-only tables. Bias is the mean deviation (calculated either as 'measurement -ground truth' or 'bathymetry -topography') expressed in absolute value, thus representing the actual magnitude data can be offset from a reference level, regardless of the direction.

Model
Node n