The Longevity of Lava Dome Eruptions

TL;DR

This paper introduces a Bayesian statistical method to forecast lava dome eruption durations, accounting for composition and uncertainty, aiding long-term volcanic hazard planning.

Contribution

The authors develop a novel, transferable Bayesian approach using heavy-tailed distributions to predict eruption durations based on a comprehensive database.

Findings

Eruption durations follow heavy-tailed, composition-dependent distributions.

The model provides quantifiable uncertainty estimates for eruption forecasts.

Application to 2015 eruptions demonstrates the method's practical utility.

Abstract

Understanding the duration of past, on-going and future volcanic eruptions is an important scientific goal and a key societal need. We present a new methodology for forecasting the duration of on-going and future lava dome eruptions based on a database (DomeHaz) recently compiled by the authors. The database includes duration and composition for 177 such eruptions, with "eruption" defined as the period encompassing individual episodes of dome growth along with associated quiescent periods during which extrusion pauses but unrest continues. In a key finding we show that probability distributions for dome eruption durations are both heavy-tailed and composition-dependent. We construct Objective Bayes statistical models featuring heavy-tailed Generalized Pareto distributions with composition-specific parameters to make forecasts about the durations of new and on-going eruptions that depend on both eruption duration-to-date and composition. Our Bayesian predictive distributions reflect both uncertainty about model parameter values (epistemic uncertainty) and the natural variability of the geologic processes (aleatoric uncertainty). The results are illustrated by presenting likely trajectories for fourteen dome-building eruptions on-going in 2015. Full representation of the uncertainty is presented for two key eruptions, Soufri{\'{e}}re Hills Volcano in Montserrat (10--139 years, median 35yr) and Sinabung, Indonesia (1--17 years, median 4yr). Uncertainties are high, but, importantly, quantifiable. This work provides for the first time a quantitative and transferable method and rationale on which to base long-term planning decisions for lava dome forming volcanoes, with wide potential use and transferability to forecasts of other types of eruptions and other adverse events across the geohazard spectrum.