Abstract

Abstract. Volcanic eruptions are rare but potentially catastrophic phenomena, affecting societies and economies through different pathways. The 2010 Eyjafjallajökull eruption in Iceland, a medium-sized ash-fall-producing eruption, caused losses in the range of billions of dollars, mainly to the aviation and tourism industries. Financial risk transfer mechanisms such as insurance are used by individuals, companies, governments, etc., to protect themselves from losses associated with natural catastrophes. In this work, we conceptualize and design a parametric risk transfer mechanism to offset losses to building structures arising from large, ash-fall-producing volcanic eruptions. Such a transfer mechanism relies on the objective measurement of physical characteristics of volcanic eruptions that are correlated with the size of resulting losses (in this case, height of the eruptive column and predominant direction of ash dispersal) in order to pre-determine payments to the risk cedent concerned. We apply this risk transfer mechanism to the case of Mount Fuji in Japan by considering a potential risk cedent such as a regional government interested in offsetting losses to dwellings in the heavily populated prefectures of Tokyo and Kanagawa. The simplicity in determining eruptive column height and ash fall dispersal direction makes this design suitable for extrapolation to other volcanic settings worldwide where significant ash-fall-producing eruptions may occur, provided these parameters are reported by an official, reputable agency and a suitable loss model is available for the volcanoes of interest.

Highlights

  • Volcanic eruptions are complex phenomena that generate a variety of hazards such as lava flows, ash fall, pyroclastic flows, lahars, and volcanic earthquakes

  • The model is structured into four modules – hazard, vulnerability, built environment, and loss calculation – which are described in more detail in the following subsections

  • Such an assignation is probabilistic in the sense that a distribution of likely locations and characteristics will be generated for each risk, through iterative sampling based on those weights

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Summary

Introduction

Volcanic eruptions are complex phenomena that generate a variety of hazards such as lava flows, ash fall, pyroclastic flows, lahars, and volcanic earthquakes. Earthquake parametric cat bond transactions appeared first in 1997 and grew in number throughout the following years, supported by what were relatively novel techniques to model earthquake risk in the insurance market (Franco, 2014) Since these earthquake solutions have taken many forms depending on the parameters chosen for their design and on whether they are binary (pay or no pay) or index based, indicating a payment somewhat correlated with the intensity of the event (Wald and Franco, 2016, 2017).

Construction of a volcano risk model
The hazard module
The vulnerability module
The loss calculation module
Design of a parametric trigger for volcano risk transfer
Choosing the trigger parameters for volcanic eruptions
Choosing the trigger type
Optimization of the trigger
Application and results
Discussion
Conclusions
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