“…The volume eroded per impact is defined as (Sklar and Dietrich, 2004) where Vp is particle volume, ρs is particle density (~2.8 g/cm 3 , see Table S3), wi is impact velocity normal to the bed, and εv is the kinetic energy per unit volume eroded, which is defined as = 2 2 (4) where σT is tensile strength (we chose 1 MPa following Torok, 2007), Y is Young's modulus of elasticity (we chose 20 GPa following Lebedev et al, 2014), and kv is a dimensionless coefficient that accounts for differences in material properties between the particles and the bed surface (e.g. Scheingross et al, 2014). As in Lamb et al, 2008, the number of impacts per unit time per unit particle area should scale as = 2…”