# Spectral coherence between climate oscillations and the *M* ≥ 7 earthquake historical worldwide record

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## Abstract

We compare the NOAA Significant Earthquake Historical database versus typical climatic indices and the length of the day (LOD). The Pacific Decadal Oscillation (PDO) record is mainly adopted because most of the analyzed earthquakes occurred at the land boundaries of the Pacific Plate. The NOAA catalog contains information on destructive earthquakes. Using advanced spectral and magnitude squared coherence methodologies, we found that the magnitude \(M\ge 7\) earthquake annual frequency and the PDO record share common frequencies at about 9-, 20-, and 50- to 60-year periods, which are typically found in climate records and among the solar and lunar harmonics. The two records are negatively correlated at the 20- and 50- to 60-year timescales and positively correlated at the 9-year and lower timescales. We use a simple harmonic model to forecast the \(M\ge 7\) significant earthquake annual frequency for the next decades. The next 15 years should be characterized by a relatively high \(M\ge 7\) earthquake activity (on average 10–12 occurrences per year) with possible maxima in 2020 and 2030 and a minimum in the 2040s. On the 60-year scale, the LOD is found to be highly correlated with the earthquake record (\(r=0.51\) for 1900–1994, and \(r=0.95\) for 1910–1970). However, the LOD variations appear to be too small to be the primary earthquake trigger. Our results suggest that large earthquakes are triggered by crust deformations induced by, and/or linked to climatic and oceanic oscillations induced by astronomical forcings, which also regulate the LOD.

## Keywords

Pacific Decadal Oscillation Climatic Index Earthquake Record Pacific Decadal Oscillation Index Earthquake Frequency## Notes

### Acknowledgments

The authors thank the two anonymous referees and Giuliano F. Panza for useful suggestions.

## References

- Benesty J, Chen J, Huang Y (2006) Estimation of the coherence function with the MVDR approach. Acoustics, speech and signal processing. ICASSP 2006 proceedings vol 3, pp. 500–503, doi: 10.1109/ICASSP.2006.1660700. http://www.mathworks.com/matlabcentral/fileexchange/9781-coherence-function/content/coherence_MVDR
- Bhattacharya P, Chakrabarti BK, Kamal, Samanta D (2009) Fractal models of earthquake dynamics. In: Heinz Georg Schuster (ed) Reviews of nonlinear dynamics and complexity, vol 2. Wiley-VCH, Weinheim, pp 107–150 ISBN 3527408509Google Scholar
- Bollinger L, Perrier F, Avouac JP, Sapkota S, Gautam U, Tiwari DR (2007) Seasonal modulation of seismicity in the Himalaya of Nepal. Geophys Res Lett 34:L08304. doi: 10.1029/2006GL029192 Google Scholar
- Carter GC, Knapp C, Nuttall AH (1973) Estimation of the magnitude-squared coherence function via overlapped fast Fourier transform processing. IEEE Trans Audio Electroacoust 21:331–344Google Scholar
- Chen L, Chen JG, Xu QH (2012) Correlations between solid tides and worldwide earthquakes MS ≥ 7.0 since 1900. Nat Hazards Earth Syst Sci 12:587–590CrossRefGoogle Scholar
- Chylek P, Folland CK, Dijkstra HA, Lesins G, Dubey MK (2011) Ice-core data evidence for a prominent near 20 year time-scale of the Atlantic Multidecadal Oscillation. Geophys Res Lett 38:L13704Google Scholar
- Choi DR, Maslov L (2010) Earthquakes and solar activity cycles. New Concept Global Tectonics Newslett 57:85–97Google Scholar
- Choi DR, Tsunoda F (2011) Volcanic and seismic activities during the solar hibernation periods. New Concept Global Tectonics Newslett 61:78–87Google Scholar
- Choi DR (2013) Earthquakes/volcanic activities and solar cycles. Global climate status report (GCSR). Edition 3–2013, 10–19Google Scholar
- Cochran ES, Vidale JE, Tanaka S (2004) Earth tides can trigger shallow thrust fault earthquakes. Science 306:1164–1166CrossRefGoogle Scholar
- Davis JC, Bohling G (2001) The search for patterns in ice-core temperature curves. In: Gerhard LC, Harrison WE, Hanson BM (eds) Geological perspectives of global climate change, pp. 213–229Google Scholar
- Forbes RJ (1966) Studies in ancient technology, volume 7 ancient geology: ancient mining and quarrying: ancient mining techniques. (Brill, ISBN13: 9789004006270)Google Scholar
- Enzi S, Bertolin C, Diodato N (2014) Snowfall time-series reconstruction in Italy over the last 300 years. Holocene. doi: 10.1177/0959683613518590 Google Scholar
- Gao SS, Silver PG, Llnde AT, Sacks IS (2000) Annual modulation of triggered seismicity following the 1992 Landers earthquake in California. Nature 406:500–504CrossRefGoogle Scholar
- Ghil M, Allen RM, Dettinger MD, Ide K, Kondrashov D, Mann ME, Robertson A, Saunders A, Tian Y, Varadi F, Yiou P (2002) Advanced spectral methods for climatic time series. Rev Geophys 40:3.1–3.41 (SSA-MTM tool kit for spectral analysis)Google Scholar
- Gipson JM, Ma CP (1998) Site displacement due to variation in Earth rotation. J Geophys Res 103:7337–7350CrossRefGoogle Scholar
- Gutenberg B, Richter CF (1954) Seismicity of the Earth and Associated Phenomena, 2nd edn. Princeton University Press, Princeton, NJGoogle Scholar
- Heki K (2003) Snow load and seasonal variation of earthquake occurrence in Japan. Earth Planet. Sci. Lett. 207:159–164CrossRefGoogle Scholar
- Ide S, Tanaka Y (2014) Controls on plate motion by oscillating tidal stress: Evidence from deep tremors in western Japan. Geophys Res Lett 41:3842–3850CrossRefGoogle Scholar
- Jevrejeva S, Moore JC, Grinsted A, Woodworth P (2008) Recent global sea level acceleration started over 200 years ago? Geophys Res Lett 35:L08715Google Scholar
- Kilston S, Knopoff L (1983) Lunar-solar periodicities of large earthquakes in southern California. Nature 304:21–25CrossRefGoogle Scholar
- Klyashtorin L, Lyubushin A (2007) Cyclic climate changes and fish productivity. VNIRO (All Russian Institute Fisheries and Oceanography) Publishing, Moscow, p 224Google Scholar
- Klyashtorin LB, Borisov V, Lyubushin A (2009) Cyclic changes of climate and major commercial stocks of the Barents Sea. Mar. Biol. Res. 5:4–17CrossRefGoogle Scholar
- Knopoff L (1964) Earth tides as a triggering mechanism for earthquakes. Bull. seism. Soc. Am. 54:1865–1870Google Scholar
- Knudsen MF, Seidenkrantz M-S, Jacobsen BH, Kuijpers A (2011) Tracking the Atlantic Multidecadal Oscillation through the last 8,000 years. Nat. Commun. 2:178CrossRefGoogle Scholar
- Liu C-C, Linde AT, Sacks IS (2009) Slow earthquakes triggered by typhoons. Nature 459:833–836CrossRefGoogle Scholar
- Loehle C, Scafetta N (2011) Climate change attribution using empirical decomposition of climatic data. Open Atmos. Sci. J. 5:74–86CrossRefGoogle Scholar
- Lopes RMC, Malin SRC, Mazzarella A, Palumbo A (1990) Lunar and solar triggering of earthquakes. Phys. Earth Planet. Inter. 59:127–129CrossRefGoogle Scholar
- Luttrell K, Sandwell D (2010) Ocean loading effects on stress at near shore plate boundary fault systems. Journal of Geophysical Research-Solid Earth. 115:B08411CrossRefGoogle Scholar
- Manzi V, Gennari R, Lugli S, Roveri M, Scafetta N, Schreiber C (2012) High-frequency cyclicity in the Mediterranean Messinian evaporites: evidence for solar-lunar climate forcing. J. Sed. Res. 82:991–1005CrossRefGoogle Scholar
- Mazzarella A, Palumbo A (1988) Solar, geomagnetic and seismic activity. Il Nuovo Cimento 11C:353–364CrossRefGoogle Scholar
- Mazzarella A, Palumbo A (1989) Does the solar cycle modulate seismic and volcanic activity? J. Volc. Geoth. Res. 39:89–93CrossRefGoogle Scholar
- Mazzarella A (2013) Time-integrated North Atlantic Oscillation as a proxy for climatic change. Natural Science 5:149–155CrossRefGoogle Scholar
- Mazzarella A, Scafetta N (2012) Evidences for a quasi 60-year North Atlantic Oscillation since 1700 and its meaning for global climate change. Theor. Appl. Climatol. 107(3–4):599–609CrossRefGoogle Scholar
- Mazzarella A, Giuliacci A, Scafetta N (2013) Quantifying the Multivariate ENSO Index (MEI) coupling to CO2 concentration and to the length of day variations. Theor. Appl. Climatol. 111:601–607CrossRefGoogle Scholar
- McGuire B (2013) Waking the Giant: How a changing climate triggers earthquakes, tsunamis, and volcanoe. Oxford University Press, OxfordGoogle Scholar
- Mignan A, Woessner J (2012) Estimating the magnitude of completeness in earthquake catalogs, Community Online Resource for Statistical Seismicity Analysis, doi: 10.5078/corssa-00180805. Available at http://www.corssa.org
- Miller SA (2008) Note on rain-triggered earthquakes and their dependence on karst geology. Geophys. J. Int. 173:334–338CrossRefGoogle Scholar
- Mogi K (1979) Global variation of seismic activity. Tectonophysics 57:T43–T50CrossRefGoogle Scholar
- Mörner N-M (1989) Global changes: the lithosphere: internal processes and Earth’s dynamicity in view of Quaternary observational data. Quaternary Int. 2:55–61CrossRefGoogle Scholar
- Mörner N-M (1998) New trends in global tectonics. Phys. Chem. Earth. 23:825–830CrossRefGoogle Scholar
- Mörner N-M (2013) Planetary beat and solar-terrestrial responses. Pattern Recogn. Phys. 1:107–116CrossRefGoogle Scholar
- Panza GF, Peresan A, Zuccolo E (2011) Climatic modulation of seismicity in the Alpine-Himalayan mountain ranges. Terra Nova 23:19–25CrossRefGoogle Scholar
- Pagli C, Sigmundsson F (2008) Will present day glacier retreat increase volcanic activity? Stress induced by recent glacier retreat and its effect on magmatism at the Vatnajokull ice cap. Iceland. Iceland 35:L09304. doi: 10.1029/2008GL033510 Google Scholar
- Plinius Secundus C (Pliny the Elder), A.D. 77–79. Natural History, Book II: cosmology, astronomy and meteorologyGoogle Scholar
- Qian W-H, Lu B (2010) Periodic oscillations in millennial global-mean temperature and their causes. Chin. Sci. Bull. 55:4052–4057CrossRefGoogle Scholar
- Ogurtsov MG, Nagovitsyn YA, Kocharov GE, Jungner H (2002) Long-period cycles of the sun” s activity recorded in direct solar data and proxies. Sol. Phys. 211:371–394CrossRefGoogle Scholar
- Ohtake M, Nakahara H (1999) Seasonality of Great Earthquake Occurrence at the Northwestern Margin of the Philippine Sea Plate. Pure appl. geophys. 155:689–700CrossRefGoogle Scholar
- Ostřihanský L (2012) Earth’s rotation variations and earthquakes 2010–2011. Solid Earth Discuss. 4:33–130CrossRefGoogle Scholar
- Riguzzi F, Panza G, Varga P, Doglioni C (2010) Can Earth’s rotation and tidal despinning drive plate tectonics? Tectonophysics 484:60–73CrossRefGoogle Scholar
- Saar MO, Manga M (2003) Seismicity induced by seasonal groundwater recharge at Mt. Hood, Oregon. Earth Planet. Sci. Lett., 214, 605–618. Acoustics, Speech and Signal Processing 3:985–988Google Scholar
- Santamaria I, Via J (2007) Estimation of the Magnitude Squared Coherence Spectrum Based on Reduced-Rank Canonical CoordinatesGoogle Scholar
- Scafetta N, Grigolini P (2002) Scaling detection in time series: diffusion entropy analysis. Physical Review E 66:036130CrossRefGoogle Scholar
- Scafetta N, West BJ (2004a) Multi-scaling comparative analysis of time series and a discussion on ‘earthquake conversations’ in California. Physical Review Letters 92:138501CrossRefGoogle Scholar
- Scafetta N, Grigolini P, Imholt T, Roberts JA, West BJ (2004b) Solar turbulence in earth’s global and regional temperature anomalies. Physical Review E 69:026303CrossRefGoogle Scholar
- Scafetta N, West BJ (2004c) Complexity, multiresolution, non-stationarity and entropic scaling: Teen birth thermodynamics. Journal of Mathematical Sociology 28:229–259CrossRefGoogle Scholar
- Scafetta N (2010a) Fractal and Diffusion Entropy Analysis of Time Series - Theory, concepts, applications and computer codes for studying fractal noises and Levy signals. (VDM Verlag Dr. Muller, 2010)Google Scholar
- Scafetta N (2010b) Empirical evidence for a celestial origin of the climate oscillations and its implications. J Atmos Solar-Terr Phys 72:951–970CrossRefGoogle Scholar
- Scafetta N (2012a) A shared frequency set between the historical mid-latitude aurora records and the global surface temperature. J. Atmos. Solar-Terrestr. Phys. 74:145–163CrossRefGoogle Scholar
- Scafetta N (2012b) Multi-scale harmonic model for solar and climate cyclical variation throughout the holocene based on Jupiter-Saturn tidal frequencies plus the 11-year solar dynamo cycle. J. Atmos. Solar-Terrestr. Phys. 80:296–311CrossRefGoogle Scholar
- Scafetta N (2012c) Does the Sun work as a nuclear fusion amplifier of planetary tidal forcing? A proposal for a physical mechanism based on the mass-luminosity relation. J. Atmos. Solar-Terrestr. Phys. 81–82:27–40CrossRefGoogle Scholar
- Scafetta N, Humlum O, Solheim J-E, Stordahl K (2013) Comment on “The influence of planetary attractions on the solar tachocline” by Callebaut, de Jager and Duhau. J. Atmos. Solar-Terrestr. Phys. 102:368–371CrossRefGoogle Scholar
- Scafetta N (2013b) Discussion on climate oscillations: CMIP5 general circulation models versus a semi-empirical harmonic model based on astronomical cycles. Earth-Science Reviews 126:321–357CrossRefGoogle Scholar
- Scafetta N (2014a) Multi-scale dynamical analysis (MSDA) of sea level records versus PDO, AMO, and NAO indexes. Clim Dyn 43:175–192CrossRefGoogle Scholar
- Scafetta N (2014b) The complex planetary synchronization structure of the solar system. Pattern Recognition in Physics 2:1–19CrossRefGoogle Scholar
- Scafetta N (2014c) Discussion on the spectral coherence between planetary, solar and climate oscillations: a reply to some critiques. Astrophys. Space Sci. 354:275–299CrossRefGoogle Scholar
- Scafetta N, Willson RC (2013) Planetary harmonics in the historical Hungarian aurora record (1523–1960). Planetary and Space Science 78:38–44. doi: 10.1016/j.pss.2013.01.005 CrossRefGoogle Scholar
- Stephenson FR, Morrison LV (1995) Long-term fluctuations in Earth’s rotation: 700 BC to AD 1990. Philos Trans A 351:165–202CrossRefGoogle Scholar
- van Stiphout T, Zhuang J, Marsan D (2012) Seismicity declustering. Community online resource for statistical seismicity analysis. doi: 10.5078/corssa-52382934 Google Scholar
- Tanaka Y (2014) An approximately 9-year-period variation in seismicity and crustal deformation near the Japan Trench and a consideration of its origin. Geophys J Int 196:760–787CrossRefGoogle Scholar
- Wang Q-L, Chen Y-T, Cui D-X, Wang W-P, Liang W-F (2000) Decadal correlation between crustal deformation and variation in length of day of the earth. Earth Planets Space 52:989–992CrossRefGoogle Scholar
- Wang Z, Wu D, Song X, Chen X, Nicholls S (2012) Sun-moon gravitation-induced wave characteristics and climate variation. J Geophys Res 117:D07102Google Scholar
- Welch PD (1967) The use of the fast fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust 15:70–73CrossRefGoogle Scholar
- Wu P, Johnston P (2000) Can deglaciation trigger earthquakes in N. America? Geophys Res Lett 27(9):1323–1326CrossRefGoogle Scholar
- Wyatt M, Curry J (2013) Role of Eurasian Arctic shelf sea ice in a secularly varying hemispheric climate signal during the twentieth century. Clim Dyn, doi: 10.1007/s00382-013-1950-2