1 Supplementary material 2 Table 1: Natural examples, including data sources and extracted characteristics Wave source Coco WAVEWATCH III® NASA Landsat version 2.22 [Tolman, 2009] NWW3 Global Hindcast reanalysis from Aug 1999 to Feb 2011 MedAtlas [Gaillard et al., Canicio and Ibanez 2004] [1999] -0.5 MedAtlas [Gaillard et al., 2004] MedAtlas [Gaillard et al., 2004] MedAtlas [Gaillard et al., 2004] MedAtlas [Gaillard et al., 2004] MedAtlas [Gaillard et al., 2004] WAVEWATCH III® version 2.22 [Tolman, 2009]NWW3 Global Hindcast reanalysis from Aug 1999 to Feb 2011 Giosan [2007] Stanley and Warne [1998] Stanley and Warne [1998] NASA Landsat 0.0 1.1 -0.4 0.66 -0.4 1 Vella et al. [2005] -0.3 2 Pranzini [2001] 0.63 0.3 NASA Landsat 0.63 0.4 Giosan [2007] -0.35 0.5 Pranzini [2001] MedAtlas [Gaillard et al., 2004] Pranzini [2001] Simeoni et al. [2007] 0.9 -0.2 Ebro (1kA bp, La Banya Lobe) Nile (Rosetta Lobe) Nile (Damietta Lobe) Nestos Rhone (0.3kA bp, Bras de Fer Lobe) Ombrone (0.1kA bp) Sao Francisco Danube (St. George Lobe) Arno Po (di Goro Lobe) Geometry source 3 4 Γ Delta Table 2: Delta Simulation Parameters Symbol Qr Is Isf Description Fluvial sediment input (kgs-1) Shelf Slope Shoreface Slope Values 150, 200 0.001 0.01 Aspect R (height/width) (see Fig. 4b and 4c) 2.5 -0.45 1.6 0.16 6 Dsf A U H T Shoreface Depth (m) Proportion waves approaching from left Proportion unstable waves Wave height (m) Wave period (s) 8 0.5, 0.55…, 0.9 0.0, 0.05…, 0.4 1 5 5 6 7 8 9 Figure S1: Shoreline configuration (left column), net alongshore sediment transport (Qs, middle 10 column, sediment transport is positive to the right) and normalized shoreline diffusivity (Γ, right 11 column) for the example model run displayed in Figure 1. Inset roses display the angular 12 distribution of incoming wave energy. Abandonment and spit formation starts at T=0y. 13 14 15 16 17 18 19 20 21 22 23 24 References Canicio, A., and C. Ibanez (1999), The Holocene Evolution of the Ebro Delta Catalonia, Spain, Acta Geographica Sinica, 54(5), 462-469. Gaillard, P., P. Ravazzola, C. Kontolios, C. Arrivet, G. Athanassoulis, C. Stefanakos, T. Gerostathis, L. Cavaleri, L. Bertotti, and M. Sclavo (2004), Wind and Wave Atlas of the Mediterranean Sea, Western European Arnament Organization Research Cell, Athens, Greece. Giosan, L. (2007), Morphodynamic Feedbacks on Deltaic Coasts: Lessons from the Wave-Dominated Danube Delta, in Coastal Sediments '07, edited by N. C. Kraus and J. D. Rosati, pp. 828-841, New Orleans, LA doi: 10.1061/40926(239)63. Pranzini, E. (2001), Updrift river mouth migration on cuspate deltas: two examples from the coast of Tuscany (Italy), Geomorphology, 38(1-2), 125-132 doi: 10.1016/S0169-555X(00)00076-3. 25 26 27 28 29 30 31 32 33 34 Simeoni, U., G. Fontolan, U. Tessari, and C. Corbau (2007), Domains of spit evolution in the Goro area, Po Delta, Italy, Geomorphology, 86(3–4), 332-348, doi: 10.1016/j.geomorph.2006.09.006. Stanley, D. J., and A. G. Warne (1998), Nile Delta in Its Destruction Phase, Journal of Coastal Research, 14(3), 795-825. Tolman, H. (2009), User manual and system documentation of WAVEWATCH III TM version 3.14Rep., 194 pp, NOAA/NWS/NCEP/MMAB. Vella, C., T. J. Fleury, G. Raccasi, M. Provansal, F. Sabatier, and M. Bourcier (2005), Evolution of the Rhone delta plain in the Holocene, Marine Geology, 222, 235-265 doi: 10.1016/J.Margeo.2005.06.028.