Table 1 Common models of tephra volume and inputs
From: Application of tephra volume models to ejecta volumes from subsurface explosion experiments
| Model (abbreviation) | Inputs | Constraints | Reference | |
|---|---|---|---|---|
| Incremental and Expanded Incremental (IncT) | Thickness (or mass per unit area and density) | Isopach area | Layer-cake type method limited by data available. | Rose et al. 2008 |
| Exponential (Exp) | Thickness (or mass per unit area and density) | Isopach area | Must determine the number of segments to be computed. | Pyle 1995, Fierstein and Nathenson 1992 |
| Power Law (PL) | Thickness (or mass per unit area and density) | Isopach area | Proximal and distal limits as inputs for calculation. | Bonadonna and Houghton 2005 |
| Weibull (W) | Thickness or mass per unit area | Isopach area | Includes a variable thinning rate (λ) and thickness scaler (ϴ). | Bonadonna and Costa 2012 |
| Linear Regression Model (LRM) | Thickness (or mass per unit area and density) | Distance from source | Requires widely dispersed field data and minor data prep. for input into code. | Burden et al. 2013 |
| Crater volume dependent (Cv) | Crater volume | - | Requires high resolution crater volume. Limited to final crater (except in experimental scenario). | Lee and Mazzola 1989 |