Skip to main content
Log in

Comparison of Bayesian estimates of peak ground acceleration (Amax) with PSHA in Iran

  • ORIGINAL ARTICLE
  • Published:
Journal of Seismology Aims and scope Submit manuscript

Abstract

Bayesian probability theory is an appropriate and useful method for estimating parameters in seismic hazard analysis. The analysis in Bayesian approaches is based on a posterior belief, also their special ability is to take into account the uncertainty of parameters in probabilistic relations and a priori knowledge. In this study, we benefited the Bayesian approach in order to estimate maximum values of peak ground acceleration (Amax) also quantiles of the relevant probabilistic distributions are figured out in a desired future interval time in Iran. The main assumptions are Poissonian character of the seismic events flow and properties of the Gutenberg-Richter distribution law. The map of maximum possible values of Amax and also map of 90% quantile of distribution of maximum values of Amax on a future interval time 100 years is presented. According to the results, the maximum value of the Amax is estimated for Bandar Abbas as 0.3g and the minimum one is attributed to Esfahan as 0.03g. Finally, the estimated values in Bayesian approach are compared with what was presented applying probabilistic seismic hazard (PSH) methods based on the conventional Cornel (1968) method. The distribution function of Amax for future time intervals of 100 and 475 years are calculated for confidence limit of probability level of 90%.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Bayrak Y, Türker T (2016) The determination of earthquake hazard parameters deduced from Bayesian approach for different seismic source regions of western Anatolia. Pure Appl Geophys 173(1):205–220

    Article  Google Scholar 

  • Bayrak Y, Türker T (2017) Evaluating of the earthquake hazard parameters with Bayesian method for the different seismic source regions of the north Anatolian fault zone. Nat Hazards 85(1):379–401

    Article  Google Scholar 

  • Benjamin JR, Cornell CA (1970) Probability statistics and decision for civil engineers. McGraw-Hill, New York

    Google Scholar 

  • Boore DM, Atkinson GM (2008) Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s. Earthquake Spectra 24(1):99–138

    Article  Google Scholar 

  • Boostan E, Tahernia N, Shafiee A (2015) Fuzzy—probabilistic seismic hazard assessment, case study: Tehran region, Iran. Nat Hazards 77(2):525–541

    Article  Google Scholar 

  • Campbell KW, Bozorgnia Y (2008) NGA ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5% damped linear elastic response spectra for periods ranging from 0.01 to 10 s. Earthquake Spectra 24(1):139–171

    Article  Google Scholar 

  • Chiou BJ, Youngs RR (2008) An NGA model for the average horizontal component of peak ground motion and response spectra. Earthquake Spectra 24(1):173–215

    Article  Google Scholar 

  • Cornell CA (1968) Engineering seismic risk analysis. Bull Seismol Soc Am 58(5):1583–1606

    Google Scholar 

  • Cox DR, Lewis PAWL (1966) The statistical analysis of series of events. Published by Methuen, London

    Book  Google Scholar 

  • Frankel A. (1995) Mapping seismic hazard in the central and eastern United States. Seismol Res Lett 66(4):8–21

    Article  Google Scholar 

  • Galanis OC, Tsapanos TM, Papadopoulos GA, Kiratzi AA (2002) Bayesian extreme values distribution for seismicity parameters assessment in South America. Journal of the Balkan Geophysical Society (BGS) 5(3):77–86

    Google Scholar 

  • Gardner JK, Knopoff L (1974) Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? Bull Seismol Soc Am 64(5):1363–1367

    Google Scholar 

  • Ghodrati Amiri G, Amrei, S.R. (2008) Seismic hazard assessment of Gilan province including Manjil in Iran. In Proc. 14th World Conf. Earthquake Eng. Beijing, China

  • Golara A (2014) Probabilistic seismic hazard analysis of interconnected infrastructure: a case of Iranian high-pressure gas supply system. Nat Hazards 73(2):567–577

    Article  Google Scholar 

  • Hardle W (1989) Applied nonparametric regression. Cambridge University Press, Cambridge

    Google Scholar 

  • Kelly D, Smith C (2011) Bayesian inference for probabilistic risk assessment: a practitioner’s guidebook. Springer Science and Business Media

  • Khodaverdian A, Zafarani H, Rahimian M, Dehnamaki V (2016) Seismicity parameters and spatially smoothed seismicity model for Iran. Bull Seismol Soc Am 106(3):1133–1150

    Article  Google Scholar 

  • Khoshnevis N, Taborda R, Azizzadeh-Roodpish S, Cramer CH (2017) Seismic hazard estimation of northern Iran using smoothed seismicity. J Seismol 21(4):941–964

    Article  Google Scholar 

  • Lyubushin AA, Parvez IA (2010) Map of seismic hazard of India using Bayesian approach. Nat Hazards 55(2):543–556

    Article  Google Scholar 

  • Lyubushin AA, Tsapanos TM, Pisarenko VF, Koravos GC (2002) Seismic hazard for selected sites in Greece: a Bayesian estimate of seismic peak ground acceleration. Nat Hazards 25(1):83–98

    Article  Google Scholar 

  • Mirzaei N, Gao M, Chen YT (1998) Seismic source regionalization for seismic zoning of Iran: major seismotectonic provinces. Journal of Earthquake Prediction Research (JEPR) 7:465–495

    Google Scholar 

  • Mohammadi H, Türker T, Bayrak Y (2016) A quantitative appraisal of earthquake hazard parameters evaluated from bayesian approach for different regions in Iranian Plateau. Pure Appl Geophys. https://doi.org/10.1007/s00024-016-1264-5

    Article  Google Scholar 

  • Moinfar AA, Naderzadeh A, Maleki E (2000) A new seismic hazard map for the implementation in the national physical planning of Iran. In Earthquake hazard and seismic risk reduction (pp. 289–296). Springer, Dordrecht

    Chapter  Google Scholar 

  • Moinfar AA, Naderzadeh A, Nabavi MH (2012) New Iranian seismic hazard zoning map for new edition edition of seismic code and its comparison with neighbor neighbor countries. In 15th World Conference on Earthquake Engineering

  • Mousavi Bafrouei SH, Mirzaei N, Shabani E, Eskandari-Ghadi M (2014) Seismic hazard zoning in Iran and estimating peak ground acceleration in provincial capitals. Earth and Space Physics 4:40 (In Persian)

    Google Scholar 

  • Mousavi Bafrouei SH, Mirzaei N, Shabani E (2015) A declustered earthquake catalog for the Iranian Plateau. Ann Geophys 57(6). https://doi.org/10.4401/ag-6395

  • Pisarenko VF, Lyubushin AA (1997) Statistical estimation of maximum peak ground acceleration at a given point of a seismic region. J Seismol 1(4):395–405

    Article  Google Scholar 

  • Pisarenko VF, Lyubushin AA (1999) Bayesian approach to seismic hazard estimation: maximum values of magnitudes and peak ground accelerations, Earthquake research in China (English edition). 13:45–57

  • Pisarenko VF, Lyubushin AA, Lysenko VB, Golubeva TV (1996) Statistical estimation of seismic hazard parameters: maximum possible magnitude and related parameters. Bull Seismol Soc Am 86(3):691–700

    Google Scholar 

  • Rao CR (1965) Linear statistical inference and its application. Wiley, New York, pp 1–618

    Google Scholar 

  • Ruzhich VV, Levina EA, Pisarenko VF, Lyubushin AA (1998) Statistical estimation of the maximum possible earthquake magnitude for the Baikal Rift Zone. Russ Geol Geophys Geol Geofiz 39(10):1445–1457

    Google Scholar 

  • Shi Z, Yan J, Gao M (1992) Research on the principle and methodology of seismic zonation. Acta Seismol Sin 5(2):305–314

    Article  Google Scholar 

  • Shoja-Taheri J, Naserieh S, Hadic G (2010) A test of the applicability of NGA models to the strong ground-motion data in the Iranian Plateau. J Earthq Eng 14(2):278–292

    Article  Google Scholar 

  • Tavakoli B, Ghafory-Ashtiany M (1999) Seismic hazard assessment of Iran. Ann Geophys 42(6):1013–1021

    Google Scholar 

  • Tsapanos TM (2003) Appraisal of seismic hazard parameters for the seismic regions of the East Circum-Pasific Belt inferred from a Bayesian approach. Nat Hazards 30(1):59–78

    Article  Google Scholar 

  • Tsapanos TM, Christova CV (2003) Earthquake hazard parameters in Crete Island and its surrounding area inferred from Bayes statistics: an integration of morphology of the seismically active structures and seismological data. Pure Appl Geophys 160(8):1517–1536

    Article  Google Scholar 

  • Tsapanos TM, Lyubushin AA, Pisarenko VF (2001) Application of a Bayesian approach for estimation of seismic hazard parameters in some regions of the Circum-Pasific Belt. Pure Appl Geophys 158(5–6):859–875

    Article  Google Scholar 

  • Vafaie J, Taghikhany T, Tehranizadeh M (2011) Near field effect on horizontal equal-hazard spectrum of Tabriz city in north-west of Iran. International Journal of Civil Engineering 9(1):49–56

  • Yadav RBS, Tsapanos TM, Bayrak Y, Koravos GCH (2012) Probabilistic appraisal of earthquake hazard parameters deduced from a Bayesian approach in the northwest frontier of the Himalayas. Pure Appl Geophys 170(3):283–297

    Article  Google Scholar 

  • Yadav RBS, Tsapanos TM, Tripathi JN, Chopra S (2013) An evaluation of tsunami hazard using Bayesian approach in the Indian Ocean. Tectonophysics 593:172–182

    Article  Google Scholar 

  • Zare M (2012) Development of seismic hazard zoning map for Iran, based on new seismic source determination. In Proceedings 15th world conference on earthquake engineering, Lisboa, Portugal September (pp. 24–28)

Download references

Acknowledgements

The authors gratefully thank the anonymous referees for the constructive comments, which significantly improved this article. The authors would like to acknowledge the financial support of University of Tehran for this research under grant number 28625/1/03.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Elham Shabani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Salahshoor, H., Lyubushin, A., Shabani, E. et al. Comparison of Bayesian estimates of peak ground acceleration (Amax) with PSHA in Iran. J Seismol 22, 1515–1527 (2018). https://doi.org/10.1007/s10950-018-9782-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10950-018-9782-5

Keywords

Navigation