Bulletin of Volcanology

, 75:707 | Cite as

A statistical method for determining the volume of volcanic fall deposits

  • R. E. Burden
  • L. Chen
  • J. C. Phillips
Research Article


Volumes of tephra-fall deposits are difficult to determine due to the commonly poor preservation of proximal and distal areas of the deposit. Typically, these volumes are found by extrapolating thinning trends found from isopach maps drawn for the areas of the deposits that are preserved. However, the construction of isopach contours is dependent on subjective interpretation of field measurements and can be highly variable. Here, we have investigated the spatial correlation relationships of thickness measurements from fall deposits to the vent location to produce a purely statistical method to objectively determine the volume of a fall deposit without the production of isopach maps. Integration of a log linear regression model for thickness measurements with distance from the vent is applied to the field measurements without any prior interpretation, and data and model uncertainty has been accounted for using Bayesian methods. Eruption volumes calculated from our method correspond well to those previously determined by alternative approaches for the deposits of Fogo A, Azores; Askja 1875, Iceland; Santa Maria 1902, Guatemala; and Pinatubo 1991, Philippines. The quantification of uncertainty in field measurements and model error, and the removal of subjectivity incurred in the production of isopach maps suggest that the method presented here can offer benefits in determining the volumes of deposits.


Volume Spatial statistics Tephra deposits Eruptive parameters 



Thanks are given to Prof RSJ Sparks and two anonymous reviewers for their helpful comments on the initial drafts of this manuscript. Rose Burden was funded by the a European Research Grant, Voldies.

Supplementary material

445_2013_707_MOESM1_ESM.r (5 kb)
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445_2013_707_MOESM2_ESM.txt (2 kb)
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445_2013_707_MOESM3_ESM.pdf (6.7 mb)
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Earth Sciences, Wills Memorial BuildingUniversity of BristolBristolUK
  2. 2.School of Mathematics, University WalkUniversity of BristolBristolUK

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