Abstract
Damage scenarios were developed for the Lefkada old town (LOT). LOT is the historical center of the capital of Lefkas Island, part of the Ionian Islands, one of the most seismically prone areas within the Mediterranean region that suffered numerous devastating earthquakes in the past. The most recent strong earthquake with Mw = 6.2 occurred on 14 August 2003 at a distance of about 13 km from LOT. A peak ground acceleration (PGA) equal to 0.42 g was recorded in LOT, one of the highest values ever recorded in Greece. Nevertheless, the 2003 event produced limited damage to the buildings of LOT, comprising traditional construction practices of architectural significance and a high seismic behaviour. Towards the development of damage scenarios the following tasks were performed: (a) buildings inventory and vulnerability indices determination using EMS-98 along with behaviour modification scores, (b) subsoil response functions and 1D visco-elastic models calculation using microtremors and (c) stochastic PGA simulation using site amplification deduced from the subsoil response functions. Two scenarios were developed considering the sources of the 2003 M6.2 earthquake and a future M7 event, located at the same fault. The discrete damage probability was resolved by formulating a beta distribution of an average damage grade related to the vulnerability index and the simulated PGA through empirical equations. The deduced models are comparable with the observed 2003 damage distribution, hence they are likely useful for preparing future emergency plans. In the aftermath, although further investigation is needed to explain outliers, the implementation of the followed methodology into an automated procedure for near real time shake and damage maps generation in case of a seismic crisis is highly recommended. The work herein, with proper adaptations, is potentially fairly applicable for other towns and regions in Europe.
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References
Ambraseys N (2009) Earthquakes in the eastern Mediterranean and the Middle East: a multidisciplinary study of 2000 years of seismicity, Cambridge University Press, ISBN 9780521872928, 947 pp
Anagnostopoulos SA (1994) Post-earthquake emergency assessment of building safety, field manual. European Commission Directorate General XI, Civil Protection, Patras
Anderson JG, Hough SE (1984) A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies. BSSA 74:1969–1993
Apostolidis P (2002) Determination of the sub-soil structure using microtremors. Application to the estimation of dynamic properties and geometry of the soil formations at Thessaloniki city, Ph.D., Aristotle University of Thessaloniki, 300 p. (in Greek with an English abstract)
Arnold C (2003) World housing encyclopedia: wood frame single family house USA, Earthquake Engineering Research Institute. http://www.world-housing.net
Atakan K (2007) The need for standardized approach for estimating the local site effects based on ambient noise recordings. In: Mucciarelli M, Herak M, Cassidy J (eds) Proceedings of the NATO advanced research workshop on increasing seismic safety by combining engineering technologies and seismological data, vol 200. Dubrovnik, Croatia, pp 3–15. 19–21 Sept
Benetatos C, Kiratzi A (2004) Stochastic strong ground motion simulation of intermediate depth earthquakes: the cases of the 30 May 1990 Vrancea (Romania) and of the 22 January 2002 Karpathos island (Greece) earthquakes. Soil Dyn Earthq Eng 24:1–9
Benetatos C, Kiratzi A, Roumelioti Z, Stavrakakis G, Drakatos G, Latoussakis I (2005) The 14 August 2003 Lefkas Island (Greece) earthquake: focal mechanisms of the mainshock and of the aftershock sequence. J Seismol 9:171–190
Benetatos C, Dreger D, Kiratzi A (2007) Complex and segmented rupture associated with the 14 August 2003 Mw 6.2 Lefkas, Ionian Islands, earthquake. BSSA 97(1B):35–51
Beresnev IA, Atkinson GM (1997) Modelling finite-fault radiation from the ωn spectrum. Bull Seismol Soc Am 87:67–84
Beresnev IA, Atkinson GM (1998) FINSIM: a FORTRAN program for simulating stochastic acceleration time histories from finite faults. Seismol Res Lett 69:27–32
Bonnefoy-Claudet S, Cornou C, Bard P-Y, Cotton F, Moczo P, Kristek J, Fah D (2006) H/V ratio: a tool for site effects evaluation: results from 1-D noise simulations. Geophys J Int 167:827–837
Boore DM (1983) Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. Bull Seismol Soc Am 73:1865–1894
Boore DM (2003) Prediction of ground motion using the stochastic method. Pure Appl Geophys 160:635–676
Boore DM (2005) SMSIM: Fortran programs for simulating ground motions from earthquakes: version 2.3, A revision of OFR 96-80-A, U.S. Geol. Surv. Open-File Report. 00-509, 55 pp
Calais E, Freed A, Mattioli G, Amelung F, Jonsson S, Jansma P, Hong S-H, Dixon T, Prepetit C, Moplaisir R (2010) Transpressional rupture of an unmapped fault during the 2010 Haiti earthquake. Nat Geosci 3:794–799
Calvi GM, Pinho R, Magenes G, Bommer J, Restrepo-Velez LF, Crowley H (2006) Development of seismic vulnerability assessment methodologies over the past 30 years. Indian Soc J Earthq Technol 43(3):75–104
CEN (Comité Européen de Normalisation) (2001) prEN 1998-1—Eurocode 8: design of structures for earthquake resistance. Part 1: general rules, seismic actions and rules for buildings. DRAFT No 3, Doc CEN/TC250/SC8/N288, May 2001, Brussels
Delgado J, Lopez Casado C, Giner J, Estevez A, Cuenca A, Molina S (2000) Microtremors as a geophysical exploration tool: application and limitations. Pure appl Geophys 158:2525–2541
Diagourtas D, Tzanis A, Makropoulos K (2001) Comparative study of microtremors analysis methods. Pure appl Geophys 158:2463–2479
Dolce M (1996) Seismic vulnerability evaluation and damage scenarios, US: Italian workshop seismic evaluation and retrofit. Columbia University, New York City
EAK (2003) Greek seismic code, edited by: Earthquake planning and protection organization, Athens, 72 pp., 7 appendixes, 2003 (in Greek)
Earthquake Engineering Research Institute (EERI) (2003) Learning from earthquakes: preliminary observations on the August 14, 2003, Lefkas Island (W. Greece) Earthquake, Oakland
Fäh D, Kind F, Giardini D (2003) Inversion of local S-wave velocity structures from average H/V ratios, and their use for the estimation of site effects. J Seismol 7:449–467
Fokaefs A, Papadopoulos G (2004) Historical earthquakes in the region of Lefkada Island, Ionian Sea: estimation of magnitudes from epicentral intensities, Bulletin of the Geological Society of Greece vol. XXXVI, 2004, In: Proceedings of the 10th international congress, Thessaloniki, pp 1389–1395. April 2004
Ganas A, Marinou A, Anastasiou D, Paradissis D, Papazissi K, Tzavaras P, Drakatos G (2013) GPS-derived estimates of crustal deformation in the central and north Ionian Sea, Greece: 3-yr results from NOANET continuous network data. J Geodyn 67:62–71
Gazetas G (2004) Geotechnical aspects of the Ms 6.4 Lefkas Island, Greece, 2003 earthquake: preliminary assessment. In: Proceedings of the 5th international conference on case histories in geotechnical engineering. New York, paper no. 13.13–17 April 2004
General Federal Archive (1825) Registry of Lefkas Perfecture, Map Collection, No. 35 «Amaxiki 1825», in Greek
Giovinazzi S, Lagomarsino S (2004) A macroseismic model for the vulnerability assessment of buildings. In: Proceedings of the 13th world conference on earthquake engineering. Vancouver, Canada, paper 896 (CD-Rom)
Grünthal G (ed.) (1998) Cahiers du Centre Européen de Géodynamique et de Séismologie: vol 15, European Macroseismic Scale 1998, Europ. Center for Geodyn and Seism., Luxembourg
Gumbel EJ (1958) Statistics of extremes. Columbia University Press, New York
Haddon RAW (1996) Earthquake source spectra in Eastern North America. BSSA 86:1300–1313
Hanks TC (1979) b Values and ω–γ seismic source models: implications for tectonic stress variations along active crustal fault zones and the estimation of high-frequency strong ground motion. J Geophys Res 84:2235–2242
Hartzell S (1978) Earthquake aftershocks as Green’s functions. Geophys Res Lett 5:1–4
Hatzfeld D, Kassaras I, Panagiotopoulos DG, Amorese D, Makropoulos K, Karakaisis GF, Coutant O (1995) Microseismicity and strain pattern in NW Greece. Tectonics 14:773–785
Hellenic Statistical Authority (HSA) (2001) Pireos 46 & Eponiton, 185 10 Pireus, Greece
Herak M (2008) ModelHVSR: a Matlab® tool to model horizontal-to-vertical spectral ratio of ambient noise. Comput Geosci 34:1514–1526
Herak M, Allegretti I, Herak D, Kuk K, Kuk V, Maric K, Markušic S, Stipocevic J (2009) HVSR of ambient noise in Ston (Croatia): comparison with theoretical spectra and with the damage distribution after the 1996 Ston-Slano earthquake. Bull Earthq Eng. doi:10.1007/s10518-009-9121-x
Kalantoni D, Pomonis A, Kassaras I, Kouskouna V, Pavlou K, Vassilopoulou S, Karababa F, Makropoulos K (2013) Vulnerability assessment in Lefkas old town (W. Greece) with the use of EMS-98; comparison with the 14-8-2003, Mw = 6.2, earthquake effects. In: Adam C, Heuer R, Lenhardt W, Schranz C (eds) First results, proceedings of congress on recent advances in earthquake engineering and structural dynamics 2013 (VEESD 2013). Vienna, Paper No. 356. 28–30 Aug 2013
Kalteziotis N, Sambatakakis N, Vasileiou I (1992) Assessment of the dynamic characteristics of soils in Greece. In: Proceedings of the 2nd Pan-Hellenic congress of geotechnical engineering, vol 2. Thessaloniki, pp 239–246
Karababa F, Pomonis A (2011) Damage data analysis and vulnerability estimation following the August 14, 2003 Lefkas Island, Greece, Earthquake. Bull Earthq Eng 9:1015–1046
Karakostas V, Papadimitriou E (2010) Fault complexity associated with the 14 August 2003 Mw6.2 Lefkada, Greece, aftershock sequence. Acta Geophys 58(5):838–854. doi:10.2478/s11600-010-0009-6
Karakostas VG, Papadimitriou EE, Papazachos CB (2004) Properties of the 2003 Lefkas, Ionian Islands, earthquake seismic sequence and seismicity triggering. BSSA 94:1976–1981
Kassaras I, Voulgaris N and Makropoulos K (2008) Determination of site response in Lefkas Town (W. Greece) by Ambient Vibration Measurements. In: Proceedings of the 31st General Assembly of the European Seismological Commission ESC, Hersonissos, Crete, pp 198–205. 7–12 Sept 2008
Kassaras I, Karakonstantis A, Vlachou K, Kapetanidis V, Kaviris G, Papadimitriou P, Voulgaris N, Lagios E, Makropoulos K (2012) Study of the geodynamics in Aitoloakarnania (W. Greece) based on joint Seismological and GPS Data, Book of Abstracts, 33 ESC General Assembly, Moscow, pp 164–165
Kassaras I, Karakonstantis A, Vlachou K, Kapetanidis V, Kaviris G, Vlachou K, Papadimitriou P, Voulgaris N, Makropoulos K (2013) On the geodynamics of western Greece deduced by massive seismological observations. AHS/IAPSO/IASPEI Joint Assembly, Gothenburg. 22–26 July 2013
Kassaras I, Kalantoni D, Pomonis A, Kouskouna V, Karababa F, Makropoulos K (2014a) Development of seismic damage scenarios in Lefkas old town (W. Greece)—Part I: vulnerability assessment of local constructions with the use of EMS-98. Bull Earthq Eng. doi:10.1007/s10518-014-9643-8
Kassaras I, Kapetanidis V, Karakonstantis A, Kaviris G, Papadimitriou P, Voulgaris N, Makropoulos K, Popandopoulos G, Moshou A (2014b) The April–June 2007 Trichonis Lake earthquake swarm (W. Greece): new implications toward the causative fault zone. J Geodyn 73:60–80
King G, Tselentis A, Gomberg J, Molnar P, Roecker S, Sinvhal H, Soufleris C, Stock J (1983) Microearthquake seismicity and active tectonics of northwestern Greece. Earth Planet Sci Lett 66:279–288
Köhler A, Ohrnberger M, Scherbaum F, Stange S, Kind F (2004) Ambient vibration measurements in the southern Rhine Graben close to Basle. Ann Geophys 47(6):1771–1781
Konno K, Ohmachi T (1998) Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor. Bull Seismol Soc Am 88(1):228–241
Kouskouna V, Kaviris G (2014) Seismic Hazard Study in Messinia (SW Peloponnese) Area, Full Paper, 2nd ECEES, Istanbul
Lachet C, Hatzfeld D, Bard PY, Theodoulidis N, Papaioannou Ch, Savvaidis A (1996) Site effects and microzonation in the city of Thessaloniki (Greece): comparison of different approaches. Bull Seismol Soc Am 86(6):1692–1703
Lantada N, Pujades LG, Barbat AH (2004) Risk scenarios for Barcelona, Spain. In: Proceedings of the 13th world conference on earthquake engineering, Vancouver, Paper No. 423
Leventakis GA (2003) Microzonation study of the city of Thessaloniki, PhD, Aristotle University of Thessaloniki, 84 p. (in Greek with an English abstract)
Lotzetidis KD, Anastasiadis A, Raptakis D (1992) Relations for correlation between VS–NSPT for soils in Greece. In: Proceedings of the 2nd Pan-Hellenic Congress of Geotechnical Engineering. Patra, pp 419–425
Louvari E, Kiratzi A, Papazachos B (1999) The Cephalonia transform fault and its extension to western Lefkas Island (Greece). Tectonophysics 308:223–236
Makarios T, Demosthenous M (2006) Seismic response of traditional buildings of Lefkas Island, Greece. Eng Struct 28:264–278
Makropoulos KC (1978) The statistics of large earthquake magnitude and an evaluation of Greek seismicity. PhD Thesis, University of Edinburgh
Makropoulos KC, Burton PW (1985a) Seismic hazard in Greece: I magnitude recurrence. Tectonophysics 117:205–257
Makropoulos KC, Burton PW (1985b) Seismic hazard in Greece: II ground acceleration. Tectonophysics 117:259–294
Makropoulos KC, Burton PW (1986) HAZAN: a Fortan program to evaluate seismic-hazard parameters using Gumbel’s theory of extreme value statistics. Comput Geosci 12(1):29–46
Makropoulos K, Diagourtas D, Kassaras J, Kouskouna V, Papadimitriou P, Ziazia M (1996) The November–December 1994 Lefkas (W. Greece) earthquake sequence: results from in situ seismological survey, First Congress of the Balkan Geophysical Society. Athens, pp 10–11. 23–27 Sept 1996
Makropoulos K, Kassaras I, Stournaras G, Kapourani E, Valadaki E, Plessas S (2004) Results from a multidisciplinary microzonation study in the city of Μytιlene (Lesvos Island, Greece). In: Proceedings of the 10th international congress of the geological society of Greece. Thessaloniki, pp 484–485. 15–17 April 2004
Makropoulos K, Kaviris G, Kouskouna V (2012) An updated and extended earthquake catalogue for Greece and adjacent areas since 1900. Nat Hazards Earth Syst Sci 12:1425–1430
Makropoulos K, Chousianitis K, Kaviris G, Kassaras I (2013) Seismic hazard assessment in Greece: Revisited, Geophysical Research Abstracts, 15, EGU2013-10033-1
Margaris BN, Boore DM (1998) Determination of Dr and j0 from response spectra of large earthquakes in Greece. BSSA 88:170–182
Margaris V, Papazachos C, Papaioannou Ch, Theodulidis N, Kalogeras I, Skarlatoudis A (2001) Ground motion attenuation relations for shallow earthquakes in Greece. In: Proceedings of the 2nd Greek conference on earthquake engineering and engineering seismology. Thessaloniki A:27–36. 28–30 Nov
Margaris B, Papaioannou C, Theodulidis N, Savvaidis A, Anastasiadis A, Klimis et al (2003) Preliminary observations on the August 14, 2003 Lefkas Island (Western Greece) earthquake, EERI special earthquake report. November 2003, [Joint report by Institute of Engineering Seismology and Earthquake Engineering, National Technical University of Athens & University of Athens], pp 1–12
Margottini C, Molin D, Serva L (1992) Intensity versus ground motion: a new approach using Italian data. Eng Geol 33:45–48
McGuire RK, Hanks TC (1980) RMS accelerations and spectral amplitudes of strong ground motion during the San Fernando, California, Earthquake. Bull Seismol Soc Am 70:1907–1919
Nakamura Y (1989) A method for dynamic characteristics estimation of subsurface using microtremor on the ground surface. RTRI 30(1):25–33
Nakamura Y, Gurler ED, Saita J, Rovelli A, Donati (2000) Vulnerability investigation of roman colosseum using Microtremor. In: Proceedings of the 12th WCEE 2000 in Auckland, NZ 2660/6/A
Oliveira CS, Mota de Sá F, Ferreira MA (2005) Application of two different vulnerability methodologies to assess seismic scenarios in Lisbon. In: Proceedings of the international conference: 250th anniversary of the 1755 Lisbon Earthquake, Lisbon, Paper No. 37 (on CD)
Orphal D, Lahoud J (1974) Prediction of peak ground motion from earthquakes. BSSA 64:1563–1574
Panou A, Theodoulidis N, Hatzidimitriou P, Stylianidis K, Papazachos C (2005) Ambient noise horizontal-to-vertical spectral ratio in site effects estimation and correlation with seismic damage distribution in urban environment: the case of the city of Thessaloniki (Northern Greece). Soil Dyn Earthq Eng 25:261–274
Papadimitriou P, Kaviris G, Makropoulos K (2006) The Mw = 6.3 2003 Lefkas Earthquake (Greece) and induced transfer changes. Tectonophysics 423:73–82
Papadopoulos G, Karastathis V, Ganas A, Pavlides S, Fokaefs A, Orfanogiannaki K (2003) The Lefkas, Ionian Sea (Greece), shock (Mw = 6.2) of 14 August 2003: evidence for the characteristic earthquake from seismicity and ground failures. Earth Planet Space 55:713–718
Papadopoulou-Vrynioti K, Bathrellos G, Skilodimou H, Kaviris G, Makropoulos K (2013) Karst collapse susceptibility mapping considering peak ground acceleration in a rapidly growing urban area. Eng Geol 158:77–88
Papaioannou C, Voulgaris N, Karakaisis G, Koutrakis S, Latousakis I, Makropoulos K, Papazachos B, Sokos E, Stavrakakis G, Tselentis GA (2008) The utilization of new seismological information in the compilation of the new seismic hazard map of Greece. In: Proceedings of the 3d Greek conference on earthquake engineering and engineering seismology. Athens, article 2025, p. 19. 5–7 Nov 2008
Papathanassiou G, Pavlides S, Ganas A (2005) The 2003 Lefkas earthquake: field observations and preliminary microzonation map based on liquefaction potential index for the town of Lefkas. Eng Geol 82:12–31
Papazachos BC, Comninakis PE (1971) Geophysical and tectonic features of the Aegean arc. J Geophvs Res 76:8517–8533
Papazachos B, Papazachou C (2003) The earthquakes of Greece, 3rd edn. Ziti Public, Thessaloniki
Papazachos BC, Scordilis EM, Panagiotopoulos DG, Papazachos CB, Karakaisis GF (2004) Global relations between seismic fault parameters and moment magnitude of earthquakes. Bull Geol Soc Greece XXXVI:1482–1489
Parolai S, Galiana-Merino JJ (2006) Effects of transient seismic noise on estimates of H/V spectral ratios. Bull Seismol Soc Am 96(1):228–236
Pavlou K, Kaviris G, Chousianitis K, Drakatos G, Kouskouna V, Makropoulos K (2013) Seismic hazard assessment in Polyphyto Dam area (NW Greece) and its relation with the “unexpected” earthquake of 13 May 1995 (Ms = 6.5, NW Greece). Nat Hazards Earth Syst Sci 13:141–149
Pomonis A, Gaspari M, Karababa F (2013) Seismic vulnerability assessment for buildings in Greece based on observed damage data sets. Bolletino di Geofisica Teorica ed Applicata 55(2):501–534
Rodriguez VHS, Midorikawa S (2002) Applicability of the H/V spectral ratio of microtremors in assessing site effects on seismic motion. Earthq Eng Struct Dyn 31:261–279
Roumelioti Z, Kiratzi A, Theodoulidis N (2004) Stochastic strong ground-motion simulation of the 7 September 1999 Athens (Greece) Earthquake. BSSA 94(3):1036–1052
Sanchez-Sesma FJ, Palencia VJ, Luzon F (2002) Estimation of local site effects during earthquakes: an overview. Indian Soc Earthq Technol J 39(3):167–194
Scherbaum F, Ohrnberger M, Savvaidis A, Panou AA, Theodulidis N (2002) Determination of shallow shear wave velocity profiles using ambient vibrations at selected sites in Greece, Poster at the A.G.U
SESAME (2005) Guidelines for the implementation of the H/V spectral ratio technique on ambient vibrations: measurements, processing and interpretations, SESAME European research project EVG1-CT-2000–00026, deliverable D23.12
Skarlatoudis AA, Margaris BN, Papazachos CB, Theodoulidis N, Papaioannou C, Kalogeras I, Scordilis EM, Karakostas V (2003) Empirical peak ground motion predictive relations for shallow earthquakes in Greece. Bull Seismol Soc Am 93:2591–2603
SRCMOD (2014) Finite source rupture model database. http://equake-rc.info/SRCMOD/ (visited on May 2014)
Stucchi M, Rovida A, Gomez Capera AA, Alexandre P, Camelbeeck T, Demircioglu MB, Gasperini P, Kouskouna V, Musson RMW, Radulian M, Sesetyan K, Vilanova S, Baumont D, Bungum H, Fäh D, Lenhardt W, Makropoulos K, Martinez Solares JM, Scotti O, Zivcic M, Albini P, Batllo J, Papaioannou C, Tatevossian R, Locati M, Meletti C, Viganò D, Giardini D (2013) The SHARE European earthquake catalogue (SHEEC) 1000–1899. J Seismol 17(2):523–544
Theodulidis N, Papazachos B (1992) Dependence of strong ground motion on magnitude-distance, site geology and macroseismic intensity for shallow earthquakes in Greece: I, peak horizontal acceleration, velocity and displacement. Soil Dyn Earthq Eng 11:387–402
Triantafyllidis P, Theodulidis N, Savvaidis A, Dimitriou P (2006) Site effects estimation using earthquake and ambient noise data: the case of Lefkas town. In: Proceedings of the First European conference on earthquake engineering and seismology. Geneva, paper 1249. 3–8 Sept 2006
Tselentis G, Danciu L (2008) Empirical relationships between modified Mercalli intensity and engineering ground-motion parameters in Greece. BSSA 98(4):1863–1875
Tsiambaos G, Sabatakakis N (2011) Empirical estimation of shear wave velocity from in situ tests on soil formations in Greece. Bull Eng Geol Environ 70:291–297
United Nations Disaster Relief Organization-UNDRO (1979) Natural disasters and vulnerability analysis. Report of Expert Group Meeting, 9-12 July 1979, 53 pp
Vintzileou E, Zagkotsis A, Repapis C, Zeris Ch (2007) Seismic behaviour of the historical structural system of theisland of Lefkas, Greece. J Constr Build Mater 21:225–236
Wald D, Quitoriano V, Heaton T, Kanamori H (1999) Relationships between peak ground acceleration, peak ground velocity and Modified Mercalli Intensity in California. Earthq Spectra 15(3):557–564
Woolery EW, Street R (2002) 3D near-surface soil response from H/V ambient-noise ratios. Soil Dyn Earthq Eng 22:865–876
Zahradnik J, Serpetsidaki A, Sokos E, Tselentis GA (2005) Iterative deconvolution of regional waveforms and a double event interpretation of the 2003 Lefkada earthquake, Greece. BSSA 95:159–172
Acknowledgments
We thank Prof. E. Vintzileou, Assoc. Prof. V. Kouskouna, A. Pomonis and Dr. F. Karababa for their key advice. We are indebted to an anonymous reviewer for critical comments. We thank S. Birmpilopoulos, S. Mourloukos and P. Stoumpos for their help in the data analysis. This work has been partially funded by SARG-UoA.
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Kassaras, I., Kalantoni, D., Benetatos, C. et al. Seismic damage scenarios in Lefkas old town (W. Greece). Bull Earthquake Eng 13, 3669–3711 (2015). https://doi.org/10.1007/s10518-015-9789-z
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DOI: https://doi.org/10.1007/s10518-015-9789-z