Skip to main content
Log in

Temporal variations in the fractal properties of seismicity in the North Anatolian Fault Zone between 31°E and 41°E

  • Published:
pure and applied geophysics Aims and scope Submit manuscript

Abstract

We investigate the nature of temporal variations in the statistical properties of seismicity associated with the North Anatolian Fault Zone between longitudes 31°–41°E during the instrumental period 1900–1992. Temporal variations in the seismicb value and the fractal (correlation) dimensionD c of earthquake epicenters are examined for earthquakes of magnitudeM S ≥4.5, using sliding windows of 100 consecutive events.b varies temporally between 0.6 and 1.0, andD c between 0.6 and 1.4, both representing significant fluctuations above the errors in measurement technique. A strong negative correlation (r=−0.85) is observed betweenb andD c , consistent with previous observation of seismicity in Japan and southern California. Major events early in this century (M S ≥7) are associated with lowb and highD c , respectively consistent with greater stress intensity and greater spatial clustering of epicenters—both implying a greater degree of stress concentration at this time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aki, K. (1965),Maximum Likelihood Estimate of b in the Formula logN=a-bm and its Confidence, Bull. Earthq. Res. Inst. Tokyo Univ.43, 237–239.

    Google Scholar 

  • Aki, K,A probabilistic synthesis of precursory phenomena. InEarthquake Prediction—An International Review (Simpson, D. W., and P. G. Richards, eds.) (American Geophys. Union, Maurice Ewing Series 4, 1981) pp. 566–574.

  • Allen, C. (1969),Active Faulting in Northern Turkey, Contribution 1577, Div. of Geol. Sci., Calif. Inst. of Technol, Pasadena, 32 pp.

    Google Scholar 

  • Alptekin, Ö. (1973),Focal Mechanisms of Earthquakes in Western Turkey and their Tectonic Implications, Ph.D. Thesis, New Mexico Inst. of Mining and Teach., Socorro, New Mexico.

    Google Scholar 

  • Ambraseys, N. (1970),Some Characteristic Features of the North Anatolian Fault Zone, Tectonophysics9, 143–165.

    Google Scholar 

  • Aviles, C. A., Scholz, C. H., andBoatwright, J. (1986),Fractal Analysis Applied to Characteristics Segment of the San Andreas Fault, J. Geophys. Res.92, 331–344.

    Google Scholar 

  • Barka, A. (1992),The North Anatolian Fault-Zone, Annales Tectonicae6, 164–195.

    Google Scholar 

  • Barka, A., andKadinsky-Cade, K. (1988),Strike-slip Fault Geometry in Turkey and its Influence on Earthquake Activity, Tectonics7, 663–684.

    Google Scholar 

  • Gibowicz, S. J. (1973),Variation of the Frequency-magnitude Relation during Earthquake Sequences in New Zealand, Bull. Seismol. Soc. Am.63, 517–528.

    Google Scholar 

  • Grassberger, P., andProcaccia, I. (1983),Measuring the Strangeness of Strange Attractors, Physica9D, 189–208.

    Google Scholar 

  • Henderson, J., Main, I. G., Meredith, P. G., andSammonds, P. R. (1992),The Evolution of Seismicity: Observation, Experiment and a Fracture-mechanical Interpretation, J. Struct. Geol.14, 905–913.

    Google Scholar 

  • Hirata, T. (1989),A Correlation between the b Value and the Fractal Dimension of Earthquakes, J. Geophys. Res.94, 7507–7514.

    Google Scholar 

  • Hirata, T., Satoh, T., andIto, K. (1988),Fractal Structure of Spatial Distribution of Microfracturing in Rock, Geophys. J. R. Astr. Soc.90, 369–374.

    Google Scholar 

  • Huang, J., andTurbot, D. L. (1988),Fractal Distributions of Stress and Strength and Variations of b Value, Earth Planet. Sci. Letts.91, 223–230.

    Google Scholar 

  • Jackson, J. A. (1992),Partitioning of Strike-slip and Convergent Motion between Eurasia and Arabia in Eastern Turkey and the Caucasus, Geophys. J.97, 12471–12479.

    Google Scholar 

  • Kagan, Y. Y., andKnopoff, L. (1980),Spatial Distribution of Earthquakes: The Two-point Correlation Function, Geophys. J. R. Astr. Soc.62, 303–320.

    Google Scholar 

  • Ketin, I. (1948),Über die tektonisch-mechanischen Folgerungen aus den grossen anatolischen Erdbeben des letzten Dezenniums, Geol. Rundsch.36, 77–83.

    Google Scholar 

  • Ma, H. C. (1978),Variations of the b Values before Several Large Earthquakes Occurred in North China, Acta. Geophys. Sinica21, 126–141.

    Google Scholar 

  • Main, I. G. (1992),Damage Mechanics with Long-range Interactions: Correlation between the Seismic b Value and the Fractal Two-point Correlation Dimension, Geophys. J. Int.111, 531–541.

    Google Scholar 

  • Main, I. G., Meredith, P. G., Sammonds, P. R., andJones, C.,Influence of fractal flaw distributions on rock deformation in the brittle field. InDeformation Mechanisms, Rheology and Tectonics (Knipe R. J., and E. H. Rutter, eds.) (Geol. Soc. London Special Publication54, 1990) pp. 81–96.

  • Mandelbrot, B. B.,The Fractal Geometry of Nature (Freeman Press, San Francisco 1982).

    Google Scholar 

  • McKenzie, D. D. (1972),Active Tectonics of the Alpine-Himalayan Belt: The Aegean Sea and Surrounding Regions, Geophys. J. R. Astr. Soc.30, 109–185.

    Google Scholar 

  • Mogi, K. (1962),Magnitude-frequency Relation for Elastic Shocks Accompanying Fractures of Various Materials and Some Related Problems in Earthquakes, Bull. Earthq. Res. Inst. Tokyo Univ.40, 831–853.

    Google Scholar 

  • Okubo, P. G., andAki, K. (1987),Fractal Geometry in the San Andreas Fault System, J. Geophys. Res.92, 345–355.

    Google Scholar 

  • Öncel, A. O., Main, I. G., Alptekin, Ö., andCowie, P. A. (1994),Spatial Variations in the Fractal Properties of Seismicity in the North Anatolian Fault Zones, Tectonophysics (submitted).

  • Sadowsky, M. A., Golubeva, T. V., Pisarenko, V. F., andShnirman, M. G. (1984),Characteristic Dimensions of Rock and Hierarchy Properties of Seismicity, Izv. Ac. Sci. USSR Phys. Solid Earth20, 87–96.

    Google Scholar 

  • Scholz, C. H. (1968),The Frequency-magnitude Relation of Microfracturing in Rock and its Relation to Earthquakes, Bull. Seism. Soc. Am.58, 399–415.

    Google Scholar 

  • Sipahioĝlu, S., andAlptekin, Ö. (1988),Present Appearance of Earthquake Problem in Turkey, Jeofizik2, 151–183.

    Google Scholar 

  • Smith, W. D. (1986),Evidence for Precursory Changes in the Frequency-magnitude b Value, Geophys. J. R. Astron. Soc.86, 815–838.

    Google Scholar 

  • §engör, A. M. C. (1979),The North Anatolian Transform Fault: Its Age, Offset and Tectonic Significance, J. Geol. Soc. London136, 269–282.

    Google Scholar 

  • Turcotte, D. L. (1986),Fractals and Fragmentation, J. Geophys. Res.91, 1921–1926.

    Google Scholar 

  • Toksöz, M. N., Shakal, A. F., andMichael, A. J. (1979),Space-time Migration of Earthquakes along the N. Anatolian Fault Zone and Seismic Gaps, Pure and Appl. Geophys.117, 1258–1269.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Öncel, A.O., Main, I., Alptekin, Ö. et al. Temporal variations in the fractal properties of seismicity in the North Anatolian Fault Zone between 31°E and 41°E. PAGEOPH 147, 147–159 (1996). https://doi.org/10.1007/BF00876441

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00876441

Key Words

Navigation