“…For example, different techniques have estimated the dimension of the summit magma chamber at Kilauea from a fraction of to tens of cubic km. Another important point discussed by the group participants is the importance of taking into account 1D, 2D or 3D models, as we need to balance the computational expense versus the number of runs required to properly explore the parameter space and conduct a proper sensitivity analysis [Collier andNeuberg 2006, Longo et al 2012]. Other outstanding parameters/points discussed by numerical modelers to be considered in terms of modeling conduit processes are: closed versus open system degassing, lateral degassing, equilibrium and disequilibrium processes, conduit erosion and magma-water interaction, viscous heating, and heat loss effects [Macedonio et al 1994, Mangan et al 2004, Dufek and Bergantz 2005, Starostin et al 2005, Diller et al 2006, Costa et al 2007a, Degruyter et al 2010b, La Spina 2014.…”