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Earth, Planets and Space

Table 1 Best-fit parameters of time functions

From: Quantitative relationship between plume emission and multiple deflations after the 2014 phreatic eruption at Ontake volcano, Japan

 

a

c

Ï„ (days)

AICa

ΔVS

 Path 126

  f1(t)

(7.4 ± 0.2) × 105 (m3)

–

379 ± 31

119.8

  f2(t)b

(6.1 ± 2.1) × 105 (m3)

106 ± 183 (m3/day)

313 ± 118

121.2

 Path 20

  f1(t)

(9.2 ± 1.2) × 105 (m3)

–

641 ± 150

191.5

  f2(t)b

(9.0 ± 25.3) × 105 (m3)

10 ± 1437 (m3/day)

632 ± 1300

193.5

Qout

 f1(t)

(1.1 ± 0.03) × 1010 (kg)

–

209 ± 16

447.1

 f2(t)

(5.0 ± 0.1) × 109 (kg)

(8.6 ± 0.1) × 106 (kg/day)

47 ± 2

274.2

ΔLd

 Path 126

  f1(t)

− 1.90 ± 0.16 (cm)

–

905 ± 115

− 2350.7

  f2(t)

(− 2.63 ± 0.22) × 10−1 (cm)

(− 1.04 ± 0.04) × 10−3 (cm/day)

20 ± 11

− 2445.1

 Path 20

  f1(t)

− 1.34 ± 0.04 (cm)

–

378 ± 26

− 2345.2

  f2(t)

(− 4.62 ± 0.26) × 10−1 (cm)

(− 0.88 ± 0.04) × 10−3 (cm/day)

41 ± 10

− 2465.9

  1. a\({\text{AIC}} = n\log \left( {\frac{1}{n}\mathop \sum \limits_{i = 1}^{n} \left( {O_{i} - C_{i} } \right)^{2} } \right) + 2k\), where n is number of data, i is index, O is an observed value, C is a calculated value, k is number of model parameters (Akaike 1974)
  2. bParameters included in f2(t) of ΔVS were not determined uniquely, which indicates that linear terms are completely unnecessary to characterize the time series of ΔVS
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