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Table 1 Analyzed subduction-zone parameters in this study

From: Regression analysis and variable selection to determine the key subduction-zone parameters that determine the maximum earthquake magnitude

Symbol

Explanation

Unit

\(m_i\) \({}^{\text {a}}\)

\(s_i\) \({}^{\text {b}}\)

References

A

Age of subducting plate

Ma

67.28

42.29

Müller et al. (1997)

\(a_{\text{s}}\)

Dip angle of subducting plate

degree

30.21

10.75

Heuret and Lallemand (2005)

CMP

Dummy variable for compressive upper plate

\({-}\)

0.2189

0.1720

Heuret et al. (2011)

MT

Dummy variable for accretionary prism

\({-}\)

0.4260

0.4960

Brizzi et al. (2018)

\(R_{{\text{c}}}\)

Bending radius of subducting plate

km

407.2

198.4

Heuret (2005)

\(R_{\text{IW}}\)

Intermediate-wavelength seafloor roughness

m

586.9

428.0

Lallemand et al. (2018)

\(R_{\text{LW}}\)

Long-wavelength seafloor roughness

m

445.1

398.9

Lallemand et al. (2018)

\(R_{\text{SW}}\)

Short-wavelength seafloor roughness

m

139.5

70.83

Lallemand et al. (2018)

\(T_{{\text{c}}}\)

Upper-plate crustal thickness

km

31.12

16.24

Laske et al. (2013)

TNS

Dummy variable for tensile upper plate

\({-}\)

0.2781

0.2020

Heuret et al. (2011)

\(T_{\text{sed}}\)

Trench sediment thickness

km

0.6568

0.7641

Straume et al. (2019)

\(v_{\text{sn}}\)

Convergence rate at trench (trench-normal)

mm/y

57.16

30.67

Lallemand et al. (2008)

\(v_{\text{ss}}\)

Convergence rate at trench (trench-parallel)

mm/y

21.30

16.80

Lallemand et al. (2008)

\(v_{\text{dn}}\)

Upper-plate extension rate

mm/y

\({-}\) 5.148

25.00

Lallemand et al. (2008)

\(v_{\text{tn}}\)

Trench retreat rate

mm/y

8.189

28.10

Lallemand et al. (2008)

\(Z_{\text{seis}}\)

Maximum earthquake depth

km

359.4

207.3

Heuret (2005)

\(Z_{{\text{t}}}\)

Trench depth

km

5.787

1.787

Heuret (2005)

\(Z_{\text{tomo}}\)

Maximum slab depth

km

639.9

308.7

Heuret and Lallemand (2005)

\(M_{{\text{max}}}\)

Maximum earthquake magnitude

\({-}\)

8.226

0.6094

Heuret et al. (2011)

  1. \({}^\text {a}\)Mean value
  2. \({}^{\text {b}}\)Standard deviation