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Earthquakes spatio–temporal distribution and fractal analysis in the Eurasian seismic belt

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Abstract

The Eurasian seismic belt is the second largest seismic zone in the world. It has numerous seismic activities which have enormous impact on human’s life. It is of importance to study the spatio–temporal characteristics of the Eurasian seismic belt. As we can learn from previous studies, fractal and fractal dimension theories can be used to study seismic activities. In general, the temporal sequence and the spatio sequence of earthquakes both exhibit the fractal structures. When huge earthquakes occur, the fractal dimension of the temporal sequence is very low. As the days went by, the value of fractal dimension fluctuates. The seismic data from 1973 to 2014 in The Eurasian seismic belt are selected as the object of this study. Based on the single fractal model, the complex structure of the seismic spatio and temporal distribution in the seismic belt is quantitatively evaluated. Results show that over time the time interval of the seismic activity shortened, and the seismic activity on the Eurasian seismic belt has a nonlinear structure and self-similar characteristics. From the perspective of space, the fractal dimension of the Eurasian seismic belt tends to grow with time, and it also has a nonlinear structure and self-similar characteristics. When the temporal unit is set as 1 year, the accumulation and release of energy are probably periodic: the minor period might be about 8.5 years, and the major period might be about 13 years.

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Abbreviations

G–R:

Gutenberg–Richter

Ms:

Magnitude

References

  • Bhattacharya PM, Kayal JR, Baruah S, Arefiev SS (2010) Earthquake source zones in Northeast India: seismic tomography, fractal dimension and b value mapping. Pure Appl Geophys 167:999–1012

    Article  Google Scholar 

  • Brown SR, Scholz CH (1985) Broad bandwidth study of the topography of natural rocks surfaces. J Geophys Res 90:12575–12582

    Article  Google Scholar 

  • Chen X, Yin L, Fan Y, Song L, Ji T, Liu Y, Tian J, Zheng W (2019) Temporal evolution characteristics of PM2. 5 concentration based on continuous wavelet transform. Sci Total Environ 699:134244

    Article  Google Scholar 

  • Cheng QM (2006) Singularity-generalized self-similarity-fractal spectrum (3S) models. Earth Sci J China Univ Geosci 31:337–348

    Google Scholar 

  • Donner Reik V, Zou Y, Donges JF et al (2010) Recurrence networks—a novel paradigm for nonlinear time series analysis. New J Phys 12(3):033025

    Article  Google Scholar 

  • Earthquake Hazards Program (1977) U.S. Geological Survey. https://earthquake.usgs.gov/earthquakes/search/. Accessed 10 Aug 2017

  • Gutenberg B, Richter CF (1941) Seismicity of the earth. Geol Soc Am 34:1–126

    Google Scholar 

  • Halsey TC et al (1986) Fractal measure and their singularities: the characterization of strange sets. Phys Rev 33(2):1141–1151

    Article  CAS  Google Scholar 

  • Hirabayashi et al (1990) Multifractal analysis of earthquakes. Math Seismol 1990:91–101

    Google Scholar 

  • Kagan YY (1988) Earthquake spatical distribution: The correlation dimension. Earth Planets Space 63(3):217

    Google Scholar 

  • Kagan YY (2007) Earthquake spatical distribution: the correlation dimension. Geophys J Int 168:1175–1194

    Article  Google Scholar 

  • Katzen D, Procaccia I (1987) Phase transition in the thermodynamic formalism of multifractals. Nucl Phys B Proc Suppl 2:517–520

    Article  Google Scholar 

  • Li J, Du Q, Sun C (2009) An improved box-counting method for image fractal dimension estimation. Pattern Recogn 42:2460–2469

    Article  Google Scholar 

  • Li X, Zheng W, Wang D, Yin L, Wang Y (2015) Predicting seismicity trend in southwest of China based on wavelet analysis. Int J Wavelets Multiresolut Inf Process 13(02):1550011

    Article  Google Scholar 

  • Li X, Lam N, Qiang Y, Li K, Yin L, Liu S, Zheng W (2016) Measuring county resilience after the 2008 Wenchuan earthquake. Int J Disaster Risk Sci 7(4):393–412

    Article  Google Scholar 

  • Liflyand ER (2013) Hausdorff operators on Hardy spaces. Eurasian Math J 4(4):101–141

    Google Scholar 

  • Öztürk S (2011) Characteristics of seismic activity in the Western, Central and Eastern parts of the North Anatolian Fault Zone, Turkey: temporal and spatio analysis. Acta Geophys 59:209–238

    Article  Google Scholar 

  • Power WL, Tullis TE, Brown SR, Boitnott GN, Scholz CH (1987) Roughness of natural fault surface. Geophys Res Lett 14:29–32

    Article  Google Scholar 

  • Shi K, Di B, Liu C et al (2012) (2012) Wenchuan aftershocks as an example of self-organized criticality. J Asian Earth Sci 50:61–65

    Article  Google Scholar 

  • Song M, Dan W (2011) Research and application of multifractal and neural network in stock markets of China. In: Paper presented at the The 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, Dengleng, China, 8–10 Aug 2011

  • Yin L, Li X, Zheng W, Yin Z, Song L, Ge L, Zeng Q (2019) Fractal dimension analysis for seismicity spatial and temporal distribution in the circum-Pacific seismic belt. J Earth Syst Sci 128(1):22

    Article  Google Scholar 

  • Zheng W, Li X, Lam N, Wang X, Liu S, Yu X, Sun Z, Yao J (2013) Applications of integrated geophysical method in archaeological surveys of the ancient Shu ruins. J Archaeol Sci 40(1):166–175

    Article  Google Scholar 

  • Zheng W, Li X, Yin L et al (2016) Spatiotemporal heterogeneity of urban air pollution in China based on spatial analysis. Rend Fis Acc Lincei 27(2):351–356

    Article  Google Scholar 

  • Zheng W, Li X, Yin L, Yin Z, Yang B, Liu S, Song L, Zhou Y, Li Y (2017) Wavelet analysis of the temporal-spatial distribution in the Eurasia seismic belt. Int J Wavelets Multiresolut Inf Process 15(03):1750018

    Article  Google Scholar 

  • Zhengxiang F (1986) Some characteristics of recent episodic seismicity in the mainland of China. Earthquake 1986(2):2835

    Google Scholar 

Download references

Funding

Supported by Fundamental Research Funds for the Central Universities (No. XDJK2019C091 and No. SWU117063). Sichuan Province Science and Technology Support Program (No. 2017HH0054 and 2018SZDZX0013 and 2019YJ0189).

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Authors and Affiliations

Authors

Contributions

SL and XL: initiated the project and designed the experiments; XL, SL, YT and LY: performed the analysis and wrote the paper, who contributed equally to this work; XL, LY, YD, YF and YL: analyzed and processed the data; YT: read the reviewer’s comments and revised the original manuscript according to the suggestions received from the reviewers. All authors contributed to the interpretations and preparation of the final manuscript.

Corresponding author

Correspondence to Lirong Yin.

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The authors declare no competing financial interests.

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The earthquake data were compiled by the U.S. Geological Survey (USGS) (https://earthquake.usgs.gov/earthquakes/).

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Tang, Y., Liu, S., Li, X. et al. Earthquakes spatio–temporal distribution and fractal analysis in the Eurasian seismic belt. Rend. Fis. Acc. Lincei 31, 203–209 (2020). https://doi.org/10.1007/s12210-020-00871-4

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  • DOI: https://doi.org/10.1007/s12210-020-00871-4

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