Abstract
The significant potential for human and economic losses arising from earthquakes affecting urban infrastructure has been demonstrated by many recent events such as, for example, L’Aquila (2009), Christchurch (2011) and Tohoku (2012). Within the current practice of seismic loss estimation in both academic and industry models, the modelling of spatial variability of the earthquake ground motion input across a region, and its corresponding influence upon portfolios of heterogeneous building types, may be oversimplified. In particular, the correlation properties that are well-known in observations of ground motion intensity measures (IMs) may not always be fully represented within the probabilistic modelling of seismic loss. Using a case study based on the Tuscany region of Italy, the impacts of including spatially cross-correlated random fields of different ground motion IMs are appraised at varying spatial resolutions. This case study illustrates the impact on the resulting seismic loss when considering synthetic aggregated portfolios over different spatial scales. Inclusion of spatial cross-correlation of IMs into the seismic risk analysis may often result in the likelihood of observing larger (and in certain cases smaller) losses for a portfolio distributed over a typical city scale, when compared against simulations in which the cross-correlation is neglected. It can also be seen that the degree to which the spatial correlations and cross-correlations can impact upon the loss estimates is sensitive to the conditions of the portfolio, particularly with respect to the spatial scale, the engineering properties of the different building types within the portfolio and the heterogeneity of the portfolio with respect to the types.
Similar content being viewed by others
Notes
http://www.istat.it/it/censimento-popolazione (last accessed February 2014).
References
Abrahamson NA, Silva WJ (2008) Summary of the Abrahamson and Silva NGA ground motion relations. Earthq Spectra 24(1):67–97
Akkar S, Bommer JJ (2010) Empirical equations for PGA, PGV, and spectral accelerations in Europe, the Mediterranean Region, and the Middle East. Seismol Res Lett 81(2):195–206
Baker JW, Cornell CA (2006) Correlation of response spectral values for multicomponents of ground motion. Bull Seismol Soc Am 96(1):215–227
Bal IE, Bommer JJ, Stafford PJ, Crowley H, Pinho R (2010) The influence of graphical resolution of urban exposure data in an earthquake loss model for Istanbul. Earthq Spectra 23(3):619–634
Barani S, Spallarossa D, Bazzurro P (2009) Disaggregation of probabilistic ground motion hazard in Italy. Bull Seismol Soc Am 99:2638–2666
Bazzurro P, Luco N (2005) Accounting for uncertainty and correlation in earthquake loss estimation. In: proceedings of the nineth international conference on safety and reliability of engineering systems and structures (ICOSSAR), Rome, Italy
Binda L, Baronio G, Penazzi D, Palma M, Tiraboschi C (1999) Caratterizzazione di murature in pietra in zona sismica: data-base sulle sezioni murarie e indagini sui materiali. In: proceedings of the nineth conference in earthquake engineering in Italy, Turin, Italy
Bommer JJ, Crowley H (2006) The influence of ground motion variability in earthquake loss modelling. Bull Earthq Eng 4:231–238
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. Earthq Spectra 24(1):99–138
Boore DM, Gibbs JF, Joyner WB, Tinsley JC, Ponti DJ (2003) Estimated ground motion from the 1994 Northridge, California, earthquake at the site of the Interstate 10 and La Cienega Boulevard bridge collapse, West Los Angeles, California. Bull Seismol Soc Am 93(6):2737–2751
Borzi B, Pinho R, Crowley H (2008) Simplified pushover-based vulnerability analysis for large scale assessment of RC buildings. Eng Struct 30(3):804–820
Crowley H, Pinho R, Bommer JJ (2004) A probabilistic displacement-based vulnerability assessment procedure for earthquake loss estimation. Bull Earthq Eng 2:173–219
Crowley H, Columbi M, Borzi B, Faravelli M, Onida M, Lopez M, Polli D, Meroni F, Pinho R (2009) A comparison of seismic risk maps for Italy. Bull Earthq Eng 7:149–180
Di Pasquale G, Goretti A (2001) Vulnerabilità funzionale ed economica degli edifici residenziali colpiti dai recenti eventi sismici italiani. In: proceedings of the tenth National conference “L’Ingineria Sismica in Italia”, Potenza-Matera, Italy
Dobson J, Bright E, Coleman P, Durfee R, Worley B (2000) LandScan: a global population database for estimating populations at risk. Photogramm Eng Remote Sens 66:849–857
Esposito S, Iervolino I (2011) PGA and PGV spatial correlation models based on European multievent datasets. Bull Seismol Soc Am 101(5):2532–2541
Esposito S, Iervolino I (2012) Spatial correlation of spectral acceleration in European data. Bull Seismol Soc Am 102(6):2781–2788
Franchin P, Cavalieri F, Pinto PE, Lupoi A, Vanzi I, Gehl P, Kazai B, Weatherill G, Esposito S, Kakderi K (2011) General methodology for systemic vulnerability assessment. Tech. rep., systemic seismic vulnerability and risk analysis for buildings, lifeline networks and infrastructures safety gain (SYNER-G), Deliverable 2.1
Goda K, Atkinson GM (2009) Probabilistic characterisation of spatial correlated response spectra for earthquakes in Japan. Bull Seismol Soc Am 99(5):3003–3020
Goda K, Hong HP (2008) Spatial correlation of peak ground motions and response spectra. Bull Seismol Soc Am 98(1):354–365
Iervolino I, Giorgio M, Galasso C, Manfredi G (2010) Conditional hazard maps for secondary intensity measures. Bull Seismol Soc Am 100(6):3312–3319
Inoue T, Cornell CA (1990) Seismic hazard analysis of multi-degree-of-freedom structures. Tech. rep, RMS, Stanford, California
Jayaram N, Baker JW (2008) Correlation of spectral accelerations from nga ground motion models. Earthq Spectra 24(1):299–317
Jayaram N, Baker JW (2009) Correlation model of spatially distributed ground motion intensities. Earthq Eng Struct Dyn 38:1687–1708
Journel AG (1999) Markov models for cross-covariances. Math Geol 31(8):955–964
Loth C, Baker JW (2013) A spatial cross-correlation model of spectral accelerations at multiple periods. Earthq Eng Struct Dyn 42:397–417
Luco N, Cornell CA (2007) Structure-specific scalar intensity measures for near-source and ordinary ground motions. Earthq Spectra 23(2):357–392
Oliver DS (2003) Gaussian cosimulation: modelling of the cross-covariance. Math Geol 356:681–698
Park J, Bazzurro P, Baker JW (2007) Modeling spatial correlation of ground motion intensity measures for regional seismic hazard and portfolio loss estimation. In: Kanada, Takada, Furuta (eds) Applications of statistics and probability in civil engineering. Taylor and Francis Group, London
Silva V, Crowley H, Pinho R, Varum H (2013) Extending displacement-based earthquake loss assessment (DBELA) for the computation of fragility curves. Eng Struct 56:343–356
Silva V, Crowley H, Monelli D, Pagani M, Pinho R (2014) Development of the openquake engine, the global earthquake model’s open-source software for seismic risk assessment. Nat Haz 72(3):1409–1427
Sokolov V, Wenzel F, Jean WY, Wen KL (2010) Uncertainty and spatial correlation of earthquake ground motion in Taiwan. Terr Atmos Ocean Sci 21(6):905–921
Stafford PJ (2012) Evaluation of structural performance in the immediate aftermath of an earthquake: a case study of the 2011 Christchurch earthquake. Int J Forensic Eng 1(1):58–77
Wang M, Takada T (2005) Macrospatial correlation model of seismic ground motions. Earthq Spectra 21(4):1137–1156
Woessner J, Giardini D, the SHARE Consortium (2012) Seismic hazard estimates for the Euro-Mediterranean region: a community-based probabilistic seismic hazard assessment. In: proceedings of the fifteenth world conference of earthquake engineering, September 2012, Lisbon, Portugal, Paper 4337
Acknowledgments
We thank the SHARE consortium for providing the seismogenic source model used in this analysis. The implementation of the methodology has benefitted greatly from discussions with Marco Pagani and Damiano Monelli. An initial formulation of the ideas presented here began in the FP-7 SYNER-G project, and we are grateful to Iunio Iervolino and Paolo Franchin for their contributions to these discussions. The manuscript, and the work as a whole, benefitted greatly from insightful reviews by Peter Stafford and one anonymous reviewer.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Weatherill, G.A., Silva, V., Crowley, H. et al. Exploring the impact of spatial correlations and uncertainties for portfolio analysis in probabilistic seismic loss estimation. Bull Earthquake Eng 13, 957–981 (2015). https://doi.org/10.1007/s10518-015-9730-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-015-9730-5