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Map of the study area. (a) the Tuscany coast, with the indication of the study area (yellow line) and the location of the two continental shelf relict sand reservoirs (yellow squares: 1: Massa; 2: Piombino); (b) zoom-in of the study area: green and red lines indicate accretion and erosion areas respectively; the sites characterized by equilibrium are indicated with white lines; the red dots represent the location of the ports of Marina di Carrara and Viareggio; the yellow triangles point out the approximate locations of the offshore dumping sites; the purple dots represent the borrow sites of shoreface dredging; the black numbers correspond to the 5 sub-cells in which the main littoral cell has been subdivided; the black arrows point out the direction of the littoral drifts.

Map of the study area. (a) the Tuscany coast, with the indication of the study area (yellow line) and the location of the two continental shelf relict sand reservoirs (yellow squares: 1: Massa; 2: Piombino); (b) zoom-in of the study area: green and red lines indicate accretion and erosion areas respectively; the sites characterized by equilibrium are indicated with white lines; the red dots represent the location of the ports of Marina di Carrara and Viareggio; the yellow triangles point out the approximate locations of the offshore dumping sites; the purple dots represent the borrow sites of shoreface dredging; the black numbers correspond to the 5 sub-cells in which the main littoral cell has been subdivided; the black arrows point out the direction of the littoral drifts.

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Article
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In the present study we describe a straightforward and highly replicable methodology to assess the anthropogenic sediment budget within a coastal system (the Northern Tuscany littoral cell, Italy), specifically selected in a partially natural and partially highly urbanized coastal area, characterized by erosion and accretion processes. The anthropo...

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... coastal sector under study belongs to the Northern Tuscany littoral cell, which is a 65 km long stretch of coast spanning from the Punta Bianca headland to the north and the Livornesi Mounts to the south ( Figure 1). We decided to focus attention on the northern part of the littoral cell, from the Magra River to the Arno River (approximately 50 km), as it corresponds to a convergent cell in terms of drift direction [48,49]. ...
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... decided to focus attention on the northern part of the littoral cell, from the Magra River to the Arno River (approximately 50 km), as it corresponds to a convergent cell in terms of drift direction [48,49]. Littoral drift is directed to the south from the Magra River mouth and to the north from the Arno River mouth, resulting in the formation of a convergence zone in the area of Marina di Pietrasanta ( Figure 1). South of the Arno River mouth the littoral drift is directed to the south, as wave processes related to the sea-floor morphological factors determine a divergent direction of the drifts on either side of the delta [50]. ...
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... coastal sector under study belongs to the Northern Tuscany littoral cell, which is a 65 km long stretch of coast spanning from the Punta Bianca headland to the north and the Livornesi Mounts to the south (Figure 1). We decided to focus attention on the northern part of the littoral cell, from the Magra River to the Arno River (approximately 50 km), as it corresponds to a convergent cell in terms of drift direction [48,49]. ...
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... decided to focus attention on the northern part of the littoral cell, from the Magra River to the Arno River (approximately 50 km), as it corresponds to a convergent cell in terms of drift direction [48,49]. Littoral drift is directed to the south from the Magra River mouth and to the north from the Arno River mouth, resulting in the formation of a convergence zone in the area of Marina di Pietrasanta (Figure 1). South of the Arno River mouth the littoral drift is directed to the south, as wave processes related to the sea-floor morphological factors determine a divergent direction of the drifts on either side of the delta [50]. ...
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... of the Arno River mouth the littoral drift is directed to the south, as wave processes related to the sea-floor morphological factors determine a divergent direction of the drifts on either side of the delta [50]. Figure 1. Map of the study area. ...
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... data acquisition from such devices is incomplete at times due to system malfunctions. However, the historical data show that both the most frequent waves and the strongest storms come from the same directions, with slight differences due to the respective geographical exposures: 210 • -250 • N at the La Spezia buoy and 220 • -260 • N at the Gorgona Island buoy (Figure 1a). The maximum values of the significant wave height (H s ) exceeded 7 m at both buoys. ...
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... study area is characterized by widespread erosion processes related to the reduction of sediments supplied by the Magra and Arno rivers during the last 150 years [67]. Locally, accretion areas can be identified along the littoral cell ( Figure 1b). Beach erosion started at the mouth of both the Arno and Magra rivers, and gradually spread on both sides (Arno) and to the south (Magra). ...
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... some sites, though, the thick, muddy level did not completely cover the sandy deposits: such sites were those selected as convenient locations for dredging activities, after a thorough environmental analysis [75]. Two large deposits (around 30 million m 3 ) were detected [76], one within the Northern Tuscany littoral cell (Massa) and one further to the south of the Tuscany coast (Piombino, Figure 1a). The Massa site is about 17-25 km off the Figure 2. A simplified sketch of the emerged and submerged beach profiles along the 5 sub-cells within the study area (not in scale). ...
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... some sites, though, the thick, muddy level did not completely cover the sandy deposits: such sites were those selected as convenient locations for dredging activities, after a thorough environmental analysis [75]. Two large deposits (around 30 million m 3 ) were detected [76], one within the Northern Tuscany littoral cell (Massa) and one further to the south of the Tuscany coast (Piombino, Figure 1a). The Massa site is about 17-25 km off the present coastline and at a variable depth of 46-100 m. ...
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... redistribution (transfer) within the cell has also been considered and listed but counted as neutral in terms of sediment budget computation. The whole cell has been subdivided into five smaller sub-cells in a further processing of the dataset ( Figure 1b): in this case sediment transfers from one sub-cell to another factored in the calculation of the sediment budget as sediment inputs and outputs. Sub-cell boundaries were pointed out based on anthropogenic (port structures and administrative borders) and natural (littoral drift convergence zone and limits of the main littoral cell) features. ...
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... Authorities used sand and gravel to refill the beaches updrift and downdrift of the Marina di Carrara and Viareggio ports. However, the majority of the interventions were made in the area situated between the Port of Marina di Carrara and Cinquale, where many coastal protection structures have been built over time (Figure 1). ...
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... Authorities used sand and gravel to refill the beaches updrift and downdrift of the Marina di Carrara and Viareggio ports. However, the majority of the interventions were made in the area situated between the Port of Marina di Carrara and Cinquale, where many coastal protection structures have been built over time (Figure 1). ...
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... main expression of sediment transfer is represented by the activities of bypassing coastal infrastructures carried out by the Authorities. These occurred at the major ports within the study area, i.e., Viareggio and Marina di Carrara (Figure 1b). These are centers of exceptional importance for the local communities in terms of recreational and commercial purposes, respectively. ...
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... sum of the other three sources (dredging practices of different sites: uphill Magra River, back-dune accumulations at Marina di Torre del Lago, shoreface near the harbor of Marina di Pisa) accounts for just 5% of the total. The largest nourishment projects have been carried out along sub-cells 1 and 2 (Figure 1b), where the erosion effects have been (and still are) harsher than elsewhere. Sub-cell 5 has also been hit hard by erosion processes, but no major protection schemes were implemented here as it is a natural site, with no human settlements to defend [69]. ...
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... 5 has also been hit hard by erosion processes, but no major protection schemes were implemented here as it is a natural site, with no human settlements to defend [69]. As a result, since 1980 the sector situated between the Magra River mouth and the Port of Marina di Carrara has been supplied with 517,900 m 3 , whereas 406,000 m 3 has been used for beach nourishment downdrift of the Port of Marina di Carrara, up to the Versilia River mouth (Figure 1b). Finally, just 87,100 m 3 have been used as beach fill in the area between the Port of Viareggio and the Arno River mouth, specifically in the sector south of the Morto Nuovo River mouth. ...
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... particular, just over 300,000 m 3 were removed from the Port of Marina di Carrara in a single capital dredging project in 1993, which accounted for a massive loss to the local sediment budget. This is the only offshore dumping activity ever reported occurring at Marina di Carrara since 1980 ( Figure 1b). Such practice was more frequently carried out at the Port of Viareggio, where 7 separate dredging operations led to offshore dumping of the material that was taken out of the harbor (Figure 1b). ...
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... is the only offshore dumping activity ever reported occurring at Marina di Carrara since 1980 ( Figure 1b). Such practice was more frequently carried out at the Port of Viareggio, where 7 separate dredging operations led to offshore dumping of the material that was taken out of the harbor (Figure 1b). Even though of short duration (between 1995 and 2001, one intervention per year), such actions ended up in a loss of almost 400,000 m 3 of sediments (an average of more than 50,000 m 3 each year). ...
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... of the main littoral cell and extent of sediment input, output and transfer. See Figure 1b for the location of sub-cell limits. Marina di Pietrasanta-Port of Viareggio 7300 0 −692,900 ± 3% 2,254,000 ± 3% −692,900 ± 3% 5 Port of Viareggio-Arno River mouth 20,400 87,100 ± 3% 0 10,200 ± 3% 87,100 ± 3% Total 49,600 1,011,000 ± 3% −1,254,900 ± 3% 2,949,800 ± 3% −243,900 ± 3% An additional examination of the results allows us to get a clear look at the sediment redistribution activities in the period 1980-2020 along the study area. ...
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... fact, while the touristic appeal of beaches affected by erosion processes is reduced or null, excessively wide backshores are not the best for beach goers either. This is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. ...
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... fact, while the touristic appeal of beaches affected by erosion processes is reduced or null, excessively wide backshores are not the best for beach goers either. This is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. ...
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... is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. ...
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... is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. ...
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... fact, while the touristic appeal of beaches affected by erosion processes is reduced or null, excessively wide backshores are not the best for beach goers either. This is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. ...
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... is the case with the beach at the ports of Marina di Carrara and Viareggio, whose updrift sectors have a width of about 150 and 350 m respectively (Figure 1; Figure 10). Likewise, the sand accumulating at the convergence area at Marina di Pietrasanta (Figure 1; Figure 10) might be redistributed to re-nourish the nearby suffering beaches. Another complementary option, related more to environmental issues, would be the backpassing of sediments from the Port of Viareggio to the natural reserved area of the Migliarino-San Rossore-Massaciuccoli Regional Park. ...
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... complementary option, related more to environmental issues, would be the backpassing of sediments from the Port of Viareggio to the natural reserved area of the Migliarino-San Rossore-Massaciuccoli Regional Park. This zone is located in the southern part of the study area (subcell 5) and is characterized by strong erosion processes that recently led to the destruction of a wide portion of the natural beach-dune system [70] (Figure 11). Another complementary option, related more to environmental issues, would be the back-passing of sediments from the Port of Viareggio to the natural reserved area of the Migliarino-San Rossore-Massaciuccoli Regional Park. ...
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... complementary option, related more to environmental issues, would be the back-passing of sediments from the Port of Viareggio to the natural reserved area of the Migliarino-San Rossore-Massaciuccoli Regional Park. This zone is located in the southern part of the study area (sub-cell 5) and is characterized by strong erosion processes that recently led to the destruction of a wide portion of the natural beach-dune system [70] (Figure 11). Sand redistribution is a delicate practice that requires more studies, analyses and strict monitoring to evaluate the efficiency and the performance of completed projects. ...
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... the choice of approach basically depends upon the set of data available. Within the study area, the dataset existing for regular intervals of time comes from a buoyant wave-meter located offshore of the Gorgona Island ( Figure 1a). For this reason, the depth of closure has been estimated by applying Hallermeier's formula [86]. ...

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... Sediment budgets concept has often been used to identify sediment sources and sinks by applying the main conservation of mass equation using various methods (Reid & Dunne, 2016;Clifton et al., 2022). The concept emphasizes that a system's overall balance is determined by the sediment inputs and outputs, which frequently indicates how much erosion or accumulation has affected the reservoir's morphology (Cappucci et al., 2020). A system has a positive budget when its inputs exceed its outputs, and a negative budget when its outputs exceed its inputs (Cappucci et al., 2020;Davidson-Arnott et al., 2018). ...
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... The areas most affected by erosion are located in the hydrographic right (Area A, Figure 2c and the area northward of the Morto Nuovo River, Figure 2a). In the hydrographic left (where erosion has been countered by several engineering interventions such as groins and breakwaters [22,27,28,49]) the total area eroded is less in extent compared with Area A, but the erosion is persistent in the area marked B in Figure 2c. Coastal progradation has been documented mainly in the C area of the southern sector ( Table 1. ...
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Coastal erosion coupled with human-induced pressure has severely affected the coastal areas of the Mediterranean region in the past and continues to do so with increasing intensity today. In this context, the Pisa coastal plain shows a long history of erosion, which started at the beginning of the nineteenth century. In this work, shoreline positions derived from historical maps as well as airborne and DGPS (Differential Global Positioning System) surveys were analyzed in a GIS (Geographic Information System) environment to identify the main changes that have occurred in the last 142 years. These analyses were compared with 100 years of discharge data measured at the S. Giovanni alla Vena gauge to identify a possible correlation between the two sets of information. Finally, Sentinel-2 and Landsat images were studied to identify the dispersion of sediments transported by the Arno River. In particular, we found a minimum of fluvial discharge in the years 1954, 1978, and 2012 corresponding to a peak of erosion, while the reduced erosion rate and the fluvial discharge increased in the years 1928–1944, 1954–1975, and after 2012. The qualitative anticorrelation between discharge and erosion is particularly true if we take into account flood events with a value of discharge greater than 700 m3/s, which are those able to transport suspended sand. The remote sensing analyses of Sentinel-2 images acquired during the floods of 6 February 2019 and 3 December 2019, under the most typical wind and sea state conditions for this area (wind coming from SW and storms coming from W/SW and SW) show that during these events a consistent amount of sediment was transported by the river. However, the majority of these sediments are not deposited along the coastline but are dispersed offshore. Grain-size analyses on the transported sediment show that plumes are formed by coarse-to-medium sand, suitable for coastal nourishment, but the reconstructed sediment dispersion lines show that some sectors of the coastline are constantly in the shade. These areas are the most affected by erosion.