Simulating lava flows by an improved cellular automata method
Computers & Geosciences
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
Mathematics and Computers in Simulation - IMACS sponsored Special issue on the second IMACS seminar on Monte Carlo methods
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
SIAM Journal on Scientific Computing
Modeling of the 2001 lava flow at Etna volcano by a Cellular Automata approach
Environmental Modelling & Software
Sensitivity analysis for complex ecological models - A new approach
Environmental Modelling & Software
Convergence and uncertainty analyses in Monte-Carlo based sensitivity analysis
Environmental Modelling & Software
Variance-based sensitivity analysis of model outputs using surrogate models
Environmental Modelling & Software
Partial order investigation of multiple indicator systems using variance-based sensitivity analysis
Environmental Modelling & Software
Sobol' sensitivity analysis of a complex environmental model
Environmental Modelling & Software
Environmental Modelling & Software
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MAGFLOW is a physics-based numerical model for lava flow simulations based on the Cellular Automaton approach that has been successfully used to predict the lava flow paths during the recent eruptions on Mt Etna. We carried out an extensive sensitivity analysis of the physical and rheological parameters that control the evolution function of the automaton and which are measured during eruptive events, in an effort to verify the reliability of the model and improve its applicability to scenario forecasting. The results obtained, which include Sobol' sensitivity indices computed using polynomial chaos expansion, confirm the consistency of MAGFLOW with the underlying physical model and identify water content and solidus temperature as critical parameters for the automaton. Additional tests also indicate that flux rates can have a strong influence on the emplacement of lava flows, and that to obtain more accurate simulations it is better to have continuous monitoring of the effusion rates, even if with moderate errors, rather than sparse accurate measurements.