“…With growing use, KDE was expanded to include spatio-temporal models of volcanism (Bebbington & Cronin, 2011) and coupled to other hazard models, particularly lava flows hazards (e.g., Favalli et al, 2012;Connor et al, 2012;Cappello et al, 2012;Runge et al, 2014), and to include uncertainty quantification (Jaquet et al, 2008;Bevilacqua et al, 2017). Spatial density analysis has been incorporated into commonly used hazard applications including QVAST (Bartolini et al, 2013), VORIS (Felpeto et al, 2007;Scainia et al, 2014), and MatHaz (Bertin et al, 2019), although in some of these applications the term spatial density has been replaced by spatial susceptibility or spatial vulnerability. KDE played a major role for a Yucca Mountain probabilistic volcanic hazard analysis update (PVHA-U), to further inform a panel of experts during the formal expert elicitation process (Coppersmith et al, 2009).…”