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M. Vacchi et al. / Earth-Science Reviews 155 (2016) 172–197       181
          ±0.15 m for rotary corers and vibracorers to ±0.05 m for hand coring  percussion corer (±0.15 m of sampling error) and has a surface eleva-
          (Hijma et al., 2015). The sample thickness is also incorporated into the  tion of +2 m MSL obtained using a high accuracy GPS (±0.05 m of
          sampling error term. For older bulk sediment samples, this may be as  levelling error) and extends to −15 m MSL. The base of the core
          large as 0.25 m (e.g., Engelhart et al., 2015). We also calculated the  (−15 m to −11 m) is composed of a dark grey unit dominated by
          angle of borehole error as a function of the overburden of the sample,  silts and clay (47–98%). A charcoal (±0.05 m of thickness error) was
          taken in this study to be 1% (Tornqvist et al., 2008). We also included  sampled 12.1 m below the surface (0.12 m of angle error) and
          an environmental error that can be as up to 0.5 m in saltmarsh and la-  −10.1 below MSL. Radiocarbon dating of the charcoal yielded
          goonal sediments not showing a clear depositional environment (see  6500 ± 30  14 C years. The mollusc faunal density is low and dominated
          Section 3.1.2). The vertical error of the archaeological index points is  by lagoonal taxa (C. glaucum, A. segmentum) and the upper muddy-
          not constant and is strongly related to the archaeological interpretations  sand assemblage in sheltered areas (Cerithium vulgatum). The ostracods
          provided in the original papers. However, preservation of fossil biological  are dominated by brackish water (C. torosa) and freshwater (Candona cf.
          zones on the archaeological structures may provide vertical uncertainties  lactea, Candona cf. compressa, Potamocypris variegata, Darwinula
          of up to 0.05 m (Marriner and Morhange, 2015).       stevesoni, Illyocypris gibba) species. The lagoonal taxa and low faunal
            Because of the lack of specific Mediterranean studies, we decided to  densities indicate that the charcoal was deposited in an inner or semi-
          not include an error term for potential changes in the paleotidal range  enclosed lagoon. Thus we assigned the charcoal sample a reference
          (e.g., Hill et al., 2011). Nonetheless, it cannot be excluded that this  water at the midpoint between 0 and −1 m MSL (−0.5 m MSL) and
          error may have affected the indicative range of the data points during  an indicative range of 0 to −1 (±0.5 m). We are aware that charcoal
          the Holocene.                                        found in lagoons may have been transported and yield ages older than
            To account for sediment compaction (e.g., Edwards, 2006), we  the lagoon. Nonetheless, this error is inferior to the error margins asso-
          subdivided the saltmarsh and lagoonal index points into basal and inter-  ciated with radiocarbon dating. In this instance, multiple samples (char-
          calated categories (Horton and Shennan, 2009). Basal samples are those  coal and peats) yielded coherent  14 C ages for this unit (Marriner et al.,
          recovered from within the sedimentary unit that overlies the incompress-  2012b) supporting the chronology for this lagoonal environment.
          ible substrate, but not directly at the intersection between the two  The calculation of RSL and age, including the error terms, for this
          (e.g., Engelhart and Horton, 2012). Basal samples may have undergone  index point was:
          some consolidation since deposition. Intercalated samples correspond to
          organic horizons in between clastic layers and, therefore, they are  RSL ¼ ‐10 :1m− ‐0:5mð  Þ
          generally most prone to compaction (e.g., Hijma et al., 2015). Where strat-  ¼ ‐9:6m
                                                                            2               2
          igraphic information was unavailable for an index point, we conservative-  Error ¼ ∑ð0:5m indicative range þ 0:05 m levelling error
                                                                           2
                                                                                                 2
          ly interpreted it as intercalated. Index points from archaeological markers,  þ 0:2m sampling and thikness errors þ 0:12 m angle error Þ 1=2  ¼ 0:55 m
          fixed biological and beachrock samples are virtually compaction free.
                                                                             14
                                                                 Age ¼ 6500  30 Cyears ¼ 7326 ka 7471 ka BP 2σð  Þ:
          3.5. Age of sea-level indicators
            In our database, the age of the samples was estimated using radio-  4. Predictions of RSL
                14
          carbon ( C) dating of organic material from salt and fresh water
          marshes, marine and lagoonal shells, beachrock bulk cement as well  The RSL model predictions presented in the following sections have
          as from the archaeological age of coastal structures. Because the produc-  been obtained by solving the Sea-level Equation (SLE, Farrell and Clark,
          tion of atmospheric radiocarbon has varied through geological time,  1976). The SLE, which describes the spatiotemporal variations of sea-
          radiocarbon ages were calibrated into sidereal years with a 2σ range.  level associated with the melting of late Pleistocene ice sheets, has
          All samples were calibrated using CALIB 7.0. We employed the IntCal13  been solved numerically by means of an improved version of the open
          and Marine13 (Reimer et al., 2013) datasets for terrestrial samples and  source code SELEN (Spada and Stocchi, 2007). SELEN assumes a laterally
          marine samples, respectively. Where available, information on the nec-  homogeneous, spherical, incompressible and self-gravitating Earth with
          essary reservoir correction was taken either from the Marine Reservoir  Maxwell rheology. It includes the effects of rotational fluctuations on
          Database (Reimer and Reimer, 2001) or from published values. All index  sea-level (Milne and Mitrovica, 1998) and accounts for horizontal mi-
          points are presented as calibrated years before present (ka BP), where  gration of shorelines following the method outlined by Peltier (2004).
          year 0 is AD 1950 (Stuiver and Polach, 1977). A concern with old radio-  In all our computations, we have employed the ICE-5G model of
          carbon ages is the correction for isotopic fractionation (Tornqvist et al.,  Peltier (2004) to predict a nominal RSL curve, based on a three-layer
          2015). This became a standard procedure at most laboratories by the  approximation of the multi-layered viscosity profile VM2 (Table 2). To
          late 1970s (Stuiver and Polach, 1977), but some laboratories have only  account for the uncertainties in the viscosity profiles, we performed fur-
          applied this correction since the mid-1980s (Hijma et al., 2015).  ther runs varying the viscosity profiles in each layer within a reasonable
            In the database, the majority of ages were analyzed after 1990 and,  range; the minimum and maximum viscosity values are shown in
          therefore, most are not subject to this potential error. For the 31 ages  Table 2. The thickness of the elastic lithosphere has been kept constant
          that are affected, we followed the procedure of Hijma et al. (2015) to  (90 km) in all of our calculations.
          correct for isotopic fractionation. The age of the archaeological RSL
          data-points is given both by the period of construction and/or by the  5. Results
          14
           C dating of biological indicators fixed on the coastal structures
          (Morhange and Marriner, 2015). In our database, the age of the archae-  We re-assessed 917 radiocarbon and archeologically dated RSL data-
          ological RSL data-points is restricted to the last 5.0 ka BP.  points along the western Mediterranean Sea. We reconstructed the RSL
                                                               histories of 22 regions using a database composed of 469 index points
          3.6. Example of the production of a lagoonal index point from Malta  and 177 limiting points (Appendix A, references of the original sources
                                                               in Appendix B, Fig. 5A,B). We excluded 271 sea-level datapoints (113
            In order to better explain our new methodology for the production  index points and 158 limiting points), which were deemed to not be ap-
          of index points in the Mediterranean, we here provide an example  propriate for the RSL reconstructions (Appendix C). For instance, we
          from a marsh coring in Malta. The sedimentary sequence from the  discarded the RSL data-points that may have been significantly
          coastal plain of Burmarrad is presented in Fig. 4 (Marriner et al.,  affected by local co-seismic tectonic uplift or subsidence. For example,
          2012b). The core BM1 (35.93 N°; 14.41° E) was obtained using a  near Punta delle Pietre Nere (North Apulia region, #21), Mastronuzzi
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