Articles | Volume 19, issue 7
Nat. Hazards Earth Syst. Sci., 19, 1347–1363, 2019
https://doi.org/10.5194/nhess-19-1347-2019
Nat. Hazards Earth Syst. Sci., 19, 1347–1363, 2019
https://doi.org/10.5194/nhess-19-1347-2019
Research article
08 Jul 2019
Research article | 08 Jul 2019

Statistical theory of probabilistic hazard maps: a probability distribution for the hazard boundary location

David M. Hyman et al.

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Short summary
In this work, we present new methods for calculating the mean, standard deviation, median, and modal locations of the boundaries of volcanic hazards. These calculations are based on a new, mathematically rigorous definition of probabilistic hazard maps – a way to map the probabilities of inundation by a given hazard. We apply this analysis to several models of volcanic flows: simple models of viscous flows, complex models of a tabletop granular flow, and a complex model of a volcanic mud flow.
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