Skip to main content
Log in

Toward confident regional seismic risk assessment of spatially distributed structural portfolios via entropy-based intensity measure selection

  • Original Research
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

Intensity measure (IM) selection is a crucial step in regional seismic risk assessment (RSRA) of spatially distributed structural portfolios. In order to facilitate more confident regional seismic risk estimates, this study proposes an entropy-based IM selection methodology, offering the first systematic and quantitative regional-level IM selection approach. By conceptualizing the spatially distributed structural portfolio as an integrated multi-response structural system, the joint entropy of the system’s unconditional seismic demands is leveraged as an IM evaluation criterion. Owing to the adaptation of a newly developed advanced IM co-simulation method and multivariate surrogate demand modeling techniques, this entropy-based IM selection approach is able to holistically incorporate uncertainties rising from the spatial IM random field, structural parameters, and surrogate demand models, during the course of uncertainty propagation in RSRA. The efficacy of the proposed methodology is demonstrated along with practical heuristics for alleviating the computational burden, based on a hypothetical highway bridge portfolio. Different application cases in the context of RSRA are considered, including pre-event RSRA considering a single scenario-earthquake as well as a stochastic earthquake catalog, and post-event RSRA considering record updating. The results consistently highlight the significance of the proposed IM selection method in facilitating more confident regional seismic risk estimates. Moreover, this study also provides valuable insights into record updating in reducing the level of uncertainty of the spatial IM random field, and its implication on IM selection in post-event RSRA.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Adachi T, Ellingwood BR (2009) Serviceability assessment of a municipal water system under spatially correlated seismic intensities. Comput Civ Infrastruct Eng 24:237–248

    Google Scholar 

  • Ancheta TD, Darragh RB, Stewart JP et al (2014) NGA-West2 database. Earthq Spectra 30:989–1005

    Google Scholar 

  • Baker JW, Cornell CA (2008) Vector-valued intensity measures incorporating spectral shape for prediction of structural response. J Earthq Eng 12:534–554

    Google Scholar 

  • Berry MP, Eberhard MO (2004) Performance models for flexural damage in reinforced concrete columns (PEER Report 2003/18, Pacific Engineering Research Center)

  • Bojórquez E, Iervolino I (2011) Spectral shape proxies and nonlinear structural response. Soil Dyn Earthq Eng 31:996–1008

    Google Scholar 

  • Bojórquez E, Chávez R, Reyes-Salazar A et al (2017) A new ground motion intensity measure IB. Soil Dyn Earthq Eng 99:97–107

    Google Scholar 

  • Chang SE (2003) Evaluating Disaster Mitigations: Methodology for Urban Infrastructure Systems. Nat Hazards Rev 4:186–196

    Google Scholar 

  • Chung R (1996) January 17, 1995 Hyogoken-Nanbu (Kobe) Earthquake: Performance of Structures, Lifelines, and Fire Protection Systems (NIST SP 901)

  • Cornell CA, Jalayer F, Hamburger RO, Foutch DA (2002) Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines. J Struct Eng 128:526–533

    Google Scholar 

  • Cover T, Thomas J (2012) Elements of information theory. Wiley, London

    Google Scholar 

  • Crowley H, Bommer JJ (2006) Modelling seismic hazard in earthquake loss models with spatially distributed exposure. Bull Earthq Eng 4:249–273

    Google Scholar 

  • Du A, Padgett JE (2020a) Entropy-based intensity measure selection for site-specific probabilistic seismic risk assessment. Earthq Eng Struct Dyn 36:1275

    Google Scholar 

  • Du A, Padgett JE (2020b) Investigation of multivariate seismic surrogate demand modeling for multi-response structural systems. Eng Struct 207:110210

    Google Scholar 

  • Du A, Padgett JE, Shafieezadeh A (2019) A posteriori optimal intensity measures for probabilistic seismic demand modeling. Bull Earthq Eng 17:681–706

    Google Scholar 

  • Du A, Padgett JE, Shafieezadeh A (2020) Influence of Intensity Measure Selection on Simulation-based Regional Seismic Risk Assessment. Earthq Spectra 36:647–672

    Google Scholar 

  • FEMA (2013) HAZUS-MH 2.1 Earthquake Model Technical Manual. Washington, D.C

  • FHWA (2017) National Bridge Inventory Data. Washington, D.C

  • Friedman JH, Bentely J, Finkel RA (1977) An algorithm for finding best matches in logarithmic expected time. ACM Trans Math Softw 3:209–226

    Google Scholar 

  • Ghosh J, Padgett JE (2011) Probabilistic seismic loss assessment of aging bridges using a component-level cost estimation approach. Earthq Eng Struct Dyn 40:1743–1761

    Google Scholar 

  • Ghosh J, Padgett JE, Dueñas-Osorio L (2013) Surrogate modeling and failure surface visualization for efficient seismic vulnerability assessment of highway bridges. Probabil Eng Mech 34:189–199

    Google Scholar 

  • Giovenale P, Cornell CA, Esteva L (2004) Comparing the adequacy of alternative ground motion intensity measures for the estimation of structural responses. Earthq Eng Struct Dyn 33:951–979

    Google Scholar 

  • Goda K, Atkinson GM (2009) Probabilistic characterization of spatially correlated response spectra for earthquakes in Japan. Bull Seismol Soc Am 99:3003–3020

    Google Scholar 

  • Goda K, Hong HP (2008) Estimation of seismic loss for spatially distributed buildings. Earthq Spectra 24:889–910

    Google Scholar 

  • Hassani B, Atkinson GM (2015) Referenced empirical ground-motion model for eastern North America. Seismol Res Lett 86:477–491

    Google Scholar 

  • Huoh YJ (2013) Sensitivity analysis of stochastic simulators with information theory. University of California, Berkeley

    Google Scholar 

  • Jamshidiha HR, Yakhchalian M (2019) New vector-valued intensity measure for predicting the collapse capacity of steel moment resisting frames with viscous dampers. Soil Dyn Earthq Eng 125:105625

    Google Scholar 

  • Jayaram N, Baker JW (2008) Statistical tests of the joint distribution of spectral acceleration values. Bull Seismol Soc Am 98:2231–2243

    Google Scholar 

  • Jayaram N, Lin T, Baker JW (2011) A Computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance. Earthq Spectra 27:797–815

    Google Scholar 

  • Kameshwar S, Vishnu N, Padgett J (2019) Earthquake analyses for portfolios of seven highway bridge classes. Response Fragility Model Aging Bridg Subj to Earthquakes Truck Loads

  • Kohrangi M, Bazzurro P, Vamvatsikos D (2016) Vector and scalar IMs in structural response estimation, Part II: building demand assessment. Earthq Spectra 32:1525–1543

    Google Scholar 

  • Kohrangi M, Bazzurro P, Vamvatsikos D, Spillatura A (2017) Conditional spectrum-based ground motion record selection using average spectral acceleration. Earthq Eng Struct Dyn 46:1667–1685

    Google Scholar 

  • Kostinakis K, Fontara IK, Athanatopoulou AM (2018) Scalar structure-specific ground motion intensity measures for assessing the seismic performance of structures: a review. J Earthq Eng 22:630–665

    Google Scholar 

  • Loth C, Baker JW (2013) A spatial cross-correlation model of spectral accelerations at multiple periods. Earthq Eng Struct Dyn 42:397–417

    Google Scholar 

  • Málaga-Chuquitaype C, Bougatsas K (2017) Vector-IM-based assessment of alternative framing systems under bi-directional ground-motion. Eng Struct 132:188–204

    Google Scholar 

  • MathWorks (2019) MATLAB (R2019a). Natick, Massachusetts

    Google Scholar 

  • McKay MD, Beckman RJ, Conover WJ (1979) Comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21:239–245

    Google Scholar 

  • Miano A, Jalayer F, De Risi R et al (2016) Model updating and seismic loss assessment for a portfolio of bridges. Bull Earthq Eng 14:699–719

    Google Scholar 

  • Nielson BG (2005) Analytical fragility curves for highway bridges in moderate seismic zones. Georgia Institute of Technology, Georgia

    Google Scholar 

  • Padgett JE, DesRoches R (2007) Bridge functionality relationships for improved seismic risk assesment of transportation networks. Earthq Spectra 23:115–130

    Google Scholar 

  • Padgett JE, Desroches R, Nilsson E (2010) Regional seismic risk assessment of bridge network in Charleston, South Carolina. J Earthq Eng 14:918–933

    Google Scholar 

  • Panagiotakos TB, Fardis MN (2001) Deformation of reinforced concrete at yielding and untimate. ACI Struct J 98:135–147

    Google Scholar 

  • Petersen MD et al (2008) Documentation for the 2008 update of the United States national seismic hazard maps. No. 2008–1128, US Geological Survey

  • Rosipal R, Trejo LJ, Cristianini N et al (2002) Kernel partial least squares regression in reproducing kernel hilbert space. J Mach Learn Res JMLR 2:97–123

    Google Scholar 

  • Silva V, Crowley H, Pagani M et al (2014) Development of the OpenQuake engine, the Global Earthquake Model’s open-source software for seismic risk assessment. Nat Hazards 72:1409–1427

    Google Scholar 

  • Singh H, Misra N, Hnizdo V et al (2003) Nearest neighbor estimates of entropy. Am J Math Manag Sci 23:301–321

    Google Scholar 

  • Tothong P, Luco N (2007) Probabilistic seismic demand analysis using advanced ground motion intensity measures. Earthq Eng Struct Dyn 36:1837–1860

    Google Scholar 

  • Tran TN, Afanador NL, Buydens LMC, Blanchet L (2014) Interpretation of variable importance in Partial Least Squares with Significance Multivariate Correlation (sMC). Chemom Intell Lab Syst 138:153–160

    Google Scholar 

  • Vamvatsikos D, Cornell CA (2005) Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information. Earthq Eng Struct Dyn 34:1573–1600

    Google Scholar 

  • Vishnu N (2019) Multi-threat sustainability assessment of bridges and bridge networks. Rice University, Houston

    Google Scholar 

  • Wold S, Johansson E, Cocchi M (1993) PLS: partial least-squares projections to latent structures. QSAR Drug Des 3D:523–550

    Google Scholar 

  • Zhang Y, He Z, Lu W, Yang Y (2018) A spectral-acceleration-based linear combination-type earthquake intensity measure for high-rise buildings. J Earthq Eng 22:1479–1508

    Google Scholar 

Download references

Acknowledgements

The review comments and suggestions by two anonymous reviewers, which further helped improve the quality of this manuscript, are appreciated. The authors gratefully acknowledge the support for this research by the National Science Foundation (NSF) through Grants CMMI-1462177. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors would also like to acknowledge the computational facilities provided by the DesignSafe Cyberinfrastructure under NSF Grant CMMI-1520817.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jamie E. Padgett.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Du, A., Padgett, J.E. Toward confident regional seismic risk assessment of spatially distributed structural portfolios via entropy-based intensity measure selection. Bull Earthquake Eng 18, 6283–6311 (2020). https://doi.org/10.1007/s10518-020-00948-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-020-00948-3

Keywords

Navigation