Abstract
The estimation of annual maximum snow load is important for designing light-weight structures experiencing severe winter climate. The specified (basic) snow load in the Chinese design code is based on statistics of the return period values of ground snow load. The code tabulates the values for a few locations in a region. For example, values are only available at 31 sites for Heilongjiang Province with an area of more than 470,000 km2, China. The snow load needs to be spatially interpolated for sites far away from the tabulated locations. However, the statistical justification of the selected probability distribution to model snow depth or load hazard is unclear and the preferred spatial interpolation technique is unknown. This study focuses on the extreme value analysis and spatial interpolation of the annual maximum snow depth and ground snow load using the records at 83 stations in Heilongjiang Province from 1981 to 2010. The statistical analysis results show that the use of the lognormal distribution rather than the Gumbel distribution for the annual maximum snow depth suggested in the code is preferred for most sites, and the application of the ordinary co-kriging is adequate for spatial interpolation of extreme snow depth. The results also show that the uncertainty in snowpack bulk density should not be neglected in estimating the extreme (ground) snow load for updating the snow load in Chinese design code.
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References
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Automat Contr 19(6):716–723
Ang AHS, Tang WH (2007) Probability concepts in engineering. Wiley, New York
ASCE (2010) Minimum design loads for buildings and other structures (ASCE/SEI 7–10). American Society of Civil Engineering, Reston
Biegus A, Rykaluk K (2009) Collapse of Katowice fair building. Eng Fail Anal 16(5):1643–1654
Blanchet J, Davison AC (2011) Spatial modeling of extreme snow depth. Ann Appl Stat 5(3):1699–2264
Blanchet J, Lehning M (2010) Mapping snow depth return levels: smooth spatial modeling versus station interpolation. Hydrol Earth Syst Sci 14(12):2527–2544
Coles S (2001) An introduction to statistical modeling of extreme values. Springer, London
Cressie N (1993) Statistics for spatial data. Wiley, New York
Dai LY, Che T (2010) The spatio-temporal distribution of snow density and its influence factors from 1999 to 2008 in China. J Glaciol Geocryol 32(5):861–866 (in Chinese)
Durmaz M, Daloğlu AT (2006) Frequency analysis of ground snow data and production of the snow load map using geographic information system for the Eastern Black Sea region of Turkey. J Struct Eng 132(7):1166–1177
Ellingwood B, Redfield RK (1983) Ground snow loads for structural design. J Struct Eng 109(4):950–964
GB-50009 (2012) Load code for the design of building structures (GB 50009-2012). Ministry of Housing and Urban-Rural Development of the People’s Republic of China. China Architecture & Building Press, Beijing (in Chinese)
Geis J, Strobel K, Liel A (2012) Snow-Induced Building Failures. J Perform Constr Facil 26(4):377–388
Holicky M, Sykora M (2009) Failures of roofs under snow load: Causes and reliability analysis. In Proceeding fifth congress on forensic engineering pp 11–14
Hong HP, Ye W (2014) Analysis of extreme of ground snow loads for Canada using snow depth records. Nat Hazards 73(2):355–371
Hong HP, Li SH, Mara T (2013) Performance of the generalized least-squares method for the extreme value distribution in estimating quantiles of wind speeds. J Wind Eng Ind Aerodyn 119:121–132
Hosking JRM, Wallis JR, Wood EF (1985) Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27(3):251–261
Jarvis A, HI Reuter, A Nelson, E Guevara (2008) Hole-filled SRTM for the globe Version 4, available from the CGIAR-CSI SRTM 90 m Database (http://srtm.csi.cgiar.org)
Jin XY, Zhao JD (2012) Development of the design code for building structures in China. Struct Eng Int 22(2):195–201
Johnston K, Ver Hoef JM, Krivoruchko K, Lucas N (2003) ArcGIS 9 using ArcGIS geostatistical analyst. Environmental Systems Research Institute (ESRI), Redlands
Jonas T, Marty C, Magnusson J (2009) Estimating the snow water equivalent from snow depth measurements in the Swiss Alps. J Hydrol 378:161–167
Lowery MD, Nash JE (1970) A comparison of methods of fitting the double exponential distribution. J Hydrol 10(3):259–275
Madsen H, Krenk S, Lind NC (2006) Methods of structural safety. Dover, New York
Martins ES, Stedinger JR (2000) Generalized maximum-likelihood generalized extreme-value quantile estimators for hydrologic data. Water Resour Res 36(3):737–744
NBCC (2010) National Building Code of Canada. Institute for Research in Construction, National Research Council of Canada, Ottawa, Ontario
Newark MJ, Welsh LE, Morris RJ, Dnes WV (1989) Revised ground snow loads for the 1990 National Building Code of Canada. Can J Civ Eng 16(3):267–278
Sturm M, Holmgren J, Liston GE (1995) A seasonal snow cover classification system for local to global applications. J. Clim 8:1261–1283
Sturm M, Taras B, Liston GE, Derksen C, Jonas T, Lea J (2010) Estimating snow water equivalent using snow depth data and climate classes. J Hydrometeorol 11:1380–1394
Wang YQ, Hu ZW, Shi YJ, Zhang Y, Liu M (2009) Analysis and reflection on snow disaster accidents of steel structures of light-weight buildings with portal frames. China Civ Eng J 42(3):65–70 (in Chinese)
Acknowledgments
Financial support received from National Science and Engineering Research Council of Canada and the University of Western Ontario is much appreciated. The China Scholarship Council (No. 201206120219 for HMM) is gratefully acknowledged. The authors are grateful to Messrs. Y. G. Sun and S. Liu from Heilongjiang Bureau of Meteorology for providing the snow depth data used in this study. We thank Dr. W. Ye for useful comments and suggestions.
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Mo, H.M., Fan, F. & Hong, H.P. Snow hazard estimation and mapping for a province in northeast China. Nat Hazards 77, 543–558 (2015). https://doi.org/10.1007/s11069-014-1566-9
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DOI: https://doi.org/10.1007/s11069-014-1566-9