Open Access

Correction to: Magnitude–frequency distribution of volcanic explosion earthquakes

  • Takeshi Nishimura1Email author,
  • Masato Iguchi2,
  • Mohammad Hendrasto3,
  • Hiroshi Aoyama4,
  • Taishi Yamada4,
  • Maurizio Ripepe5 and
  • Riccardo Genco5
Earth, Planets and Space201769:143

https://doi.org/10.1186/s40623-017-0728-x

Received: 10 October 2017

Accepted: 10 October 2017

Published: 20 October 2017

The original article was published in Earth, Planets and Space 2016 68:125

Correction to: Earth, Planets and Space (2016) 68:125 DOI 10.1186/s40623-016-0505-2

The original version of this article (Nishimura et al. 2016) contained a mistake. Reduced displacements D R in Table 1 were not correctly calculated and the unit was wrong. The reduced displacement should be as in the corrected version below, in which the equation of \( D_{\text{R}} = A_{0} \sqrt {\lambda r/2} \), which is shown in “Discussion” section, is used to calculate the correct values using the epicentral distance r, the maximum amplitude A 0 and the wavelength λ in Table 1. The reduced displacements shown in Table 1 were not discussed in the paper so that the conclusion of this paper does not change.
Table 1

Estimated parameters of explosion earthquakes at active volcanoes

Volcano (observation period)

Corr. coeff.

D max

N b

\( D_{ {\rm max} } \sqrt {N_{\text{b}} } \)

Δ (km)

Freq. (Hz)

D R (cm2)

a 0

Unit

A 0 (mm)

M

D-log

s-log

D-log

s-log

D-log

s-log

Sakurajima Minami-dake (1963–1999)

0.892

0.996

0.310

0.171

30

1.698

0.938

2.7

1.0

871.4

0.0750

mm

0.0750

1.8

Sakurajima Showa crater (2008–2011)

0.948

0.989

0.170

0.055

21

0.777

0.253

3.0

1.0

347.8

0.0284

mm

0.0284

1.4

Suwanosejima (January–June, 2011)

0.998

0.891

0.040

0.206

27

0.207

1.070

0.5

2.0

50.7

0.1800

mm/s

0.0143

−0.2

Tokachi–dake (December 16, 1988–March 5, 1989)

0.907

0.987

0.202

0.102

10

0.638

0.321

4.5

1.0

357.0

0.0238

mm

0.0238

1.7

Semeru Vulcanian (March 18–April 10, 2007)

0.967

0.995

0.044

0.043

52

0.318

0.312

0.5

1.0

939.5

1.1800

mm/s

0.1879

0.9

Semeru Gas bursts (March 17–April 10, 2011)

0.955

0.997

0.054

0.043

36

0.323

0.257

0.5

1.0

560.5

0.7040

mm/s

0.1121

0.7

Lokon (September 2012–September 2013)

0.934

0.973

0.223

0.128

18

0.948

0.541

1.4

1.0

547.6

0.4110

mm/s

0.0654

1.2

Stromboli 1–8 Hz (June 2014)

0.940

0.989

0.073

0.058

39

0.454

0.360

0.4

4.0

0.9

0.0097

mm/s

0.0004

−1.9

Stromboli 0.05–0.2 Hz (June 2014)

0.965

0.996

0.078

0.024

33

0.446

0.135

0.4

0.2700

m/s

D- and s-log represent double logarithmic and semi-logarithmic graphs, respectively. N b is the number of amplitude bins, and D max is the maximum difference between the observed cumulative probability distribution and the model function. Δ is the distance from active crater to station. D R is the reduced displacement, a 0 is the characteristic amplitude A 0 is the maximum amplitude in displacement, M is the magnitude of explosion earthquake

Notes

Declarations

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Authors’ Affiliations

(1)
Department of Geophysics, Graduate School of Science, Tohoku University, Sendai, Japan
(2)
Sakurajima Volcano Research Center, Disaster Prevention Research Institute, Kyoto University, Kagoshima, Japan
(3)
Centre for Volcanology and Geological Hazard Mitigation, Bandung, Indonesia
(4)
Graduate School of Science, Institute of Seismology and Volcanology, Hokkaido University, Sapporo, Japan
(5)
Dipartimento di Scienze della Terra, Università di Firenze, Firenze, Italy

Reference

  1. Nishimura T, Iguchi M, Hendrasto M, Aoyama H, Yamada T, Ripepe M, Genco R (2016) Earth Planets Space 68:125. doi:10.1186/s40623-016-0505-2 View ArticleGoogle Scholar

Copyright

© The Author(s) 2017