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Earthquake potential revealed by tidal influence on earthquake size–frequency statistics


The possibility that tidal stress can trigger earthquakes is long debated1,2,3,4,5,6. In particular, a clear causal relationship between small earthquakes and the phase of tidal stress is elusive2,3,4,5,6,7,8. However, tectonic tremors deep within subduction zones are highly sensitive to tidal stress levels9,10,11,12,13, with tremor rate increasing at an exponential rate with rising tidal stress11,12,13. Thus, slow deformation and the possibility of earthquakes at subduction plate boundaries may be enhanced during periods of large tidal stress. Here we calculate the tidal stress history, and specifically the amplitude of tidal stress, on a fault plane in the two weeks before large earthquakes globally, based on data from the global14, Japanese15, and Californian16 earthquake catalogues. We find that very large earthquakes, including the 2004 Sumatran, 2010 Maule earthquake in Chile and the 2011 Tohoku-Oki earthquake in Japan, tend to occur near the time of maximum tidal stress amplitude. This tendency is not obvious for small earthquakes. However, we also find that the fraction of large earthquakes increases (the b-value of the Gutenberg–Richter relation decreases) as the amplitude of tidal shear stress increases. The relationship is also reasonable, considering the well-known relationship between stress and the b-value17,18,19,20. This suggests that the probability of a tiny rock failure expanding to a gigantic rupture increases with increasing tidal stress levels. We conclude that large earthquakes are more probable during periods of high tidal stress.

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Figure 1: Tidal shear stress for the period 30 days before and after three large earthquakes.
Figure 2: Histograms of stress level ranking for different magnitude thresholds.
Figure 3: Estimated b-values and size–frequency statistics.


  1. 1

    Schuster, A. On lunar and solar periodicities of earthquakes. Proc. R. Soc. Lond. 61, 455–465 (1897).

    Article  Google Scholar 

  2. 2

    Tsuruoka, H., Ohtake, M. & Sato, H. Statistical test of the tidal triggering of earthquakes: contribution of the ocean tide loading effect. Geophys. J. Int. 122, 183–194 (1995).

    Article  Google Scholar 

  3. 3

    Vidale, J. E., Agnew, D. C., Johnston, M. J. S. & Oppenheimer, D. H. Absence of earthquake correlation with Earth tides: an indication of high preseismic fault stress rate. J. Geophys. Res. 103, 24567–24572 (1998).

    Article  Google Scholar 

  4. 4

    Cochran, E. S., Vidale, J. E. & Tanaka, S. Earth tides can trigger shallow thrust fault earthquakes. Science 306, 1164–1166 (2004).

    Article  Google Scholar 

  5. 5

    Kennedy, M., Vidale, J. E. & Parker, M. G. Earthquakes and the moon: syzygy predictions fail the test. Seismol. Res. Lett. 75, 607–612 (2004).

    Article  Google Scholar 

  6. 6

    Métivier, L. et al. Evidence of earthquake triggering by the solid earth tides. Earth Planet. Sci. Lett. 278, 370–375 (2009).

    Article  Google Scholar 

  7. 7

    Tanaka, S. Tidal triggering of earthquakes precursory to the recent Sumatra megathrust earthquakes of 26 December 2004 (Mw 9.0), 28 March 2005 (Mw 8.6), and 12 September 2007 (Mw 8.5). Geophys. Res. Lett. 37, L02301 (2010).

    Article  Google Scholar 

  8. 8

    Tanaka, S. Tidal triggering of earthquakes prior to the 2011 Tohoku-Oki earthquake (Mw 9.1). Geophys. Res. Lett. 39, L00G26 (2012).

    Google Scholar 

  9. 9

    Rubinstein, J. L., La Rocca, M., Vidale, J. E., Creager, K. C. & Wech, A. G. Tidal modulation of nonvolcanic tremor. Science 319, 186–189 (2008).

    Article  Google Scholar 

  10. 10

    Nakata, R., Suda, N. & Tsuruoka, H. Non-volcanic tremor resulting from the combined effect of Earth tides and slow slip events. Nat. Geosci. 1, 676–678 (2008).

    Article  Google Scholar 

  11. 11

    Thomas, A. M., Bürgmann, R., Shelly, D. R., Beeler, N. M. & Rudolph, M. L. Tidal triggering of low frequency earthquakes near Parkfield, California: implications for fault mechanics within the brittle–ductile transition. J. Geophys. Res. 117, B05301 (2012).

    Article  Google Scholar 

  12. 12

    Ide, S. & Tanaka, Y. Controls on plate motion by oscillating tidal stress: evidence from deep tremors in western Japan. Geophys. Res. Lett. 41, 3842–3850 (2014).

    Article  Google Scholar 

  13. 13

    Houston, H. Low friction and fault weakening revealed by rising sensitivity of tremor to tidal stress. Nat. Geosci. 8, 409–415 (2015).

    Article  Google Scholar 

  14. 14

    Ekström, G., Nettles, M. & Dziewonski, A. M. The global CMT project 2004–2010 centroid-moment tensors for 13,017 earthquakes. Phys. Earth Planet. Inter. 200–201, 1–9 (2012).

    Article  Google Scholar 

  15. 15

    Fukuyama, E., Ishida, M., Dreger, D. S. & Kawai, H. Automated seismic moment tensor determination by using on-line broadband seismic waveforms. Zisin 51, 149–156 (1998).

    Article  Google Scholar 

  16. 16

    Yang, W., Hauksson, E. & Shearer, P. M. Computing a large refined catalog of focal mechanisms for southern California (1981–2010): temporal stability of the style of faulting. Bull. Seismol. Soc. Am. 102, 1179–1194 (2012).

    Article  Google Scholar 

  17. 17

    Nishikawa, T. & Ide, S. Earthquake size distribution in subduction zones linked to slab buoyancy. Nat. Geosci. 7, 904–908 (2014).

    Article  Google Scholar 

  18. 18

    Schorlemmer, D., Wiemer, S. & Wyss, M. Variations in earthquake-size distribution across different stress regimes. Nature 437, 539–542 (2005).

    Article  Google Scholar 

  19. 19

    Scholz, C. H. The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull. Seismol. Soc. Am. 58, 399–415 (1968).

    Google Scholar 

  20. 20

    Goebel, T. H. W., Schorlemmer, D., Becker, T. W., Dresen, G. & Sammis, C. G. Acoustic emissions document stress changes over many seismic cycles in stick-slip experiments. Geophys. Res. Lett. 40, 2049–2054 (2013).

    Article  Google Scholar 

  21. 21

    Okubo, S. & Tsuji, D. Complex Green’s function for diurnal/semidiurnal loading problems. J. Geod. Soc. Jpn 47, 225–230 (2001).

    Google Scholar 

  22. 22

    Agnew, D. C. SPOTL: Some Programs for Ocean-Tide Loading SIO Technical Report (Scripps Institution of Oceanography, 2012).

  23. 23

    Egbert, G. D. & Erofeeva, S. Y. Efficient inverse modeling of barotropic ocean tides. J. Atmos. Ocean. Technol. 19, 183–204 (2002).

    Article  Google Scholar 

  24. 24

    Matsumoto, K., Takanezawa, T. & Ooe, M. Ocean tide models developed by assimilating TOPEX/POSEIDON altimeter data into hydrodynamical model: a global model and a regional model around Japan. J. Oceanogr. 56, 567–581 (2000).

    Article  Google Scholar 

  25. 25

    Yabe, S., Tanaka, Y., Houston, H. & Ide, S. Tidal sensitivity of tectonic tremors in Nankai and Cascadia subduction zones. J. Geophys. Res. 120, 7587–7605 (2015).

    Article  Google Scholar 

  26. 26

    Aki, K. Maximum likelihood estimate of b in the formula logN = a − bM and its confidence limits. Bull. Earthq. Res. Inst. 43, 237–239 (1965).

    Google Scholar 

  27. 27

    Utsu, T. Representation and analysis of the earthquake size distribution: a historical review and some new approaches. Pure Appl. Geophys. 155, 509–535 (1999).

    Article  Google Scholar 

  28. 28

    Fukao, Y. & Furumoto, M. Hierarchy in earthquake size distribution. Phys. Earth Planet. Inter. 37, 149–168 (1985).

    Article  Google Scholar 

  29. 29

    Ide, S. & Aochi, H. Earthquakes as multiscale dynamic ruptures with heterogeneous fracture surface energy. J. Geophys. Res. 110, B11303 (2005).

    Article  Google Scholar 

  30. 30

    Madariaga, R. Criticality of rupture dynamics in 3-D. Pure. Appl. Geophys. 157, 1981–2001 (2000).

    Article  Google Scholar 

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We are grateful for helpful comments from H. Kao and J. Vidale. This work was supported by the Earthquake and Volcano Hazards Observation and Research Program, MEXT and JSPS KAKENHI (16H02219). Figures were prepared using the Generic Mapping Tools (Wessel and Smith, 1998).

Author information




S.I. designed the plan of study, carried out tidal stress calculations and the statistical analysis, and wrote the manuscript. S.Y. and Y.T. developed a calculation system for the tidal stress and contributed to the discussion.

Corresponding author

Correspondence to Satoshi Ide.

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The authors declare no competing financial interests.

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Ide, S., Yabe, S. & Tanaka, Y. Earthquake potential revealed by tidal influence on earthquake size–frequency statistics. Nature Geosci 9, 834–837 (2016).

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