SUPPLEMENTARY MATERIAL Figure S1. Scheme of procedure used for the construction of frequency maps. a) Example of 10 x 10 km grid used to individuate the different nodes. In order to make visible the grid, the space among nodes is not to scale. b) Superimposition of ash dispersal map to the grid (Mercato map is showed as an example). The nodes included in the dispersal area have automatically assigned the value 1, while the nodes external to the dispersal area have value 0. c) Example of superimposition of different ash dispersal maps. The nodes included in the area of superimposition have automatically assigned the value 2, the nodes included in only one of the two dispersal maps have automatically assigned the value 1, while the nodes external to the dispersal area have value 0. d) Result of the superimposition of all the nine ash dispersal maps with ranking of the different areas based on number of superimpositions of different maps. 1 Table S1 – Main characteristics of the nine eruptions considered for this study. Ages are from Zanchetta et al. (2011). Distal areas are calculated from Figure 2 of the main text. san= sanidine; plg=plagioclase; cpx=clinopyroxene; bt=biotite; amph=amphibole; lc=leucite. Eruption Age Type and name (cal yr physical (Source) BP) parameters Plinian (VEI 5). Mercato (SommaVesuvius) 8540 ± 50 Volume Tot. Fall - 2.3 km3 (max. 7.4 km3) PDCs - 0.2 km3 A10 - 2150 km2 Distal - 160,000 km2 Gabellotto (Lipari island) Agnano M. Spina (AMS)Astroni group (Campi Flegrei) 8550 ± 80 Vulcanian (VEI 3-4) Volume Unknown A10 - unknown 4240 ± 90 / 4680 ± 100 Distal - 115,500 km2 AMS: Plinian (VEI 5) Astroni: Subplinian (VEI 4) Volume AMS Tot. Fall - 1.78 km3 PDCs - 0.5 km3 A10 - 830 km2 Volume Astroni Total - 1.02 km3 A10 - not available Distal - 110,600 km2 Proximal deposits Lithology and Isopachs and references Composition Three main eruptive phases separated by two erosive surfaces. Magmatic fragmentation. At least eight fall beds to the east with interbedded pyroclastic density currents (PDCs) PDC deposits and minor fall beds, which form a pumice cone AMS: Fall deposits (to the northeast) comprise several massive, poorly sorted layers of yellowish pumice interbedded by PDC deposits. Astroni: Seven eruptive units separated by erosive surfaces and thin paleosols. Mainly PDC deposits with interbedding of minor fall beds, being the last the thickest and the most dispersed. Predominant phreatomagmatic fragmentation. Highly vesicular pumice, with spherical or tubular vesicles. Shards have glassy groundmass. Fragments of leucitebearing lavas dominate the lithic content of the proximal deposits. Highly evolved Kphonolite. Restricted range of variability both in glass and whole rock. Highly vesicular, white, aphyric pumice. Shards have glassy groundmass. Lava fragments dominate the lithic component. Homogeneous rhyolites. AMS: Highly vesicular, light grey, porphyritic (san+plg+cpx) pumice. Shards have mainly glassy groundmass. Ash tuff and hydrotermally altered lava fragments dominate the lithic component. Trachytes to alkalitrachites. Astroni: Highly to moderately vesicular, light grey, moderately porphyritic (san+plg+cpx) pumice. Shards have mainly glassy groundmass. Lava fragments dominate the lithic component. Zanchetta et al. (2011), Mele et al. (2011) Isopachs not available Pichler (1980), Crisci et al (1991) Astroni isopachs not available Rosi and Sbrana (1987), de Vita et al. (1999), Isaia et al. (2004) 2 Trachytes to alkalitrachites. Plinian (VEI 5). Avellino (SommaVesuvius) 3810 ± 60 Volume White fall - 0.3 km3 Grey fall - 1.0 km3 PDCs - 1.0 km3 A10 - 2400 km2 Distal - 107,300 km2 FL (Mount Etna) 3370 ± 40 Subplinian (VEI 4) Volume Not assessed A10 - not available Three main eruptive phases separated by fine ash beds. Magmatic fragmentation driven the first two eruptive phases, while phreatomagmatic fragmentation driven the final third phase. Fall beds (to the northeast) dominate the first two eruptive phases, while PDCs dominate the final phase. Only fall deposits described in the proximal areas. Magmatic fragmentation. Distal - 94,800 km2 AP3 (SommaVesuvius) 2830 ± 50 Subplinian (VEI 3-4) Volume Fall - 0.15 km3 A10 - 35 km2 Fall deposits comprise one lapilli bed sandwiched between two accretionary lapillibearing fine ash beds. Distal - 77,400 km2 Plinian (VEI 5). Pompeii (SommaVesuvius) August 24th25th 79 AD Volume White fall - 1.1 km3 Grey fall - 1.8 km3 PDCs - 0.8 km3 2 A10 - 3400 km Two main eruptive phases. Fall beds (to the southeast) dominate the first eruptive phase, with minor flow deposits interlayered in the fallout phase. PDCs dominate the second eruptive Highly to moderately vesicular, porphyritic, white and grey pumice. White shards have a glassy groundmass, while the grey ones have crystalline groundmass (mainly sanidine and clinopyroxene microlites). Carbonate and lava fragments dominate the lithic components. White pumices are phonolites, while the grey pumice are tephriphonolites. Moderately vesicular, dark brown to dark grey porphyritic (pl+cpx) scoria. Lava fragments constitute the lithic component. Shards have crystalline groundmass. Mugearites to Benmoreites. Poorly vesicular, dark brown, subaphyric (cpx+bt+pl±san) scoria. Lava fragments dominate the lithic component. Shards have glassy groundmass with sparse leucite microcrystals. Tephri-phonolites. Highly vesicular, porphyritic (san) white pumice at the base, followed by porphyritic (san+cpx) grey pumice. Carbonate and lava fragments dominate the lithic components. Sulpizio et al. (2010a, b) Not available Coltelli et al. (2000) Andronico and Cioni (2002) Sigurdsson et al. (1985) 3 AD 472 (SommaVesuvuis) 472 AD Distal - 91,200 km2 phase. Magmatic fragmentation driven the first eruptive phase, while phreatomagmatic fragmentation driven the second eruptive phase. Subplinian (VEI 4) Three main phases separated by ash beds. Magmatic fragmentation driven the first two eruptive phases, while phreatomagmatic fragmentation driven the final third phase. The first eruptive phase contains seven fall beds, while the second eruptive phase contains the two main fall beds of the eruption. PDC deposits are abundant in the second and third eruptive phases. Volume Fall - 1.38 km3 PDCs - 0.4 km3 A10 - 520 km2 Distal - 116,500 km2 AD 1631 (SommaVesuvius) Subplinian (VEI 4) Volume Fall - 0.21 km3 PDCs - 0.2 km3 A10 - 170 km2 Distal - 20,800 km2 Initial phase dominated by fall deposits (to the east), while PDC deposits dominate the final phase. Magmatic fragmentation driven the first phase, while phreatomagmatic fragmentation driven the final one. White pumices are Na-phonolites, whereas grey pumices are tephriphonolites. Phonolitic shards have a glassy groundmass with minor leucite microphenocrysts, while tephriphonolitic shards are microlite-rich (cpx+amph+lc). Highly to moderately vesicular, greenishgrey, porphyritic (lc+pyr+san) pumice fragments at the base. Highly to incipiently vesicular, dark grey, porphyritic (lc+pyr+san) scoria upward. Lava fragments dominate the lithic component in the first eruptive phase, while carbonates are abundant in the second and third eruptive phases. Greenish-grey pumice: tephriphonolites. Dark grey scoria: Leucititic–tephrite– phonolites. Highly to moderately vesicular, light grey, porphyritic (lc+pyr+san) scoria. Moderately to incipiently vesicular, dark grey, porphyritic (lc+pyr+san) scoria. Light grey scoria: tephri-phonolites. Dark grey scoria: phono-tephrites. Sulpizio et al. (2005) Rosi et al. (1993) 4 Table S2. Average major element composition of ash layers used in this work. Mercato data: L. G. Monticchio Wulf et al. (2004); lake Ohrid Wagner et al. (2008); MD90-918 Caron et al. (2012); IN68-5 Calanchi and Dinelli (2008); RF95-11, YD97-09 Lowe et al. (2007); GT2 Sulpizio et al. (2009); Pian di Pecore Sulpizio et al. (2008); KET82-18 Paterne et al. (1988). GabellottoFiumebianco: MD90-917 Siani et al. (2004); MD90-918 Caron et al. (2012); TIR2000 (Di Roberto et al. (2008); KET8003, KET8004, KET8011 Paterne et al. (1988). Agnano M. Spina-Astroni group: Gran Sasso, Matese Zanchetta et al. (2012); MD90-917 Siani et al. (2004); PAL94-77, RF95-11, RF95-12, RF95-14 Lowe et al. (2007); IN68-9, IN68-22, PAL94-8, CM92-42, IN6821, PAL94-66 Calanchi and Dinelli (2008); L. G. di Monticchio Wulf et al. (2004); lake Shkodra Sulpizio et al. (2010c). Avellino: RF95-11, RF95-13, IN68-9, lake of Nemi, lake Accesa, lake Mezzano, Pian di Pecore, Basento (Sulpizio et al. (2008); lake Shkodra Sulpizio et al. (2010c); Matese, Velino, Meta Zanchetta et al. (2012); L. G. di Monticchio Wulf et al. (2004); Sulmona Giaccio et al. (2009). FL: lake Shkodra Sulpizio et al. (2010c); lake Ohrid Wagner et al. (2008); lake Pergusa Sadori and Narcisi (2001); GT2 Sulpizio et al. (2009). AP3: Basento Sulpizio et al. (2008); L. G. Monticchio Wulf et al. (2004); TIR2000 (Di Roberto et al. (2008); RF93-30, RF9513, RF95-14, RF95-12 Calanchi and Dinelli (2008). AD 472: L. G. di Monticchio Wulf et al. (2004); lake Shkodra Sulpizio et al. (2010c); Sulmona Giaccio et al. (2009); lake Ohrid Sulpizio et al. (2010d). 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