Definition of synthetic rainfall events for urban f looding estimation: the integration of multivariate statist ics and cluster analysis

The analysis of urban flooding and of the related d amage has a central role in urban areas. Climate change and the modification of urban enviro nment increase the frequency and the impact of flooding rising the interest of researche rs and practitioners on this topic. Zenithal flooding is mainly originated by rainfall that prod uces local or general failures of the underground drainage system. The highly non-linear processes taking part in the system during runoff propagation and flooding generation d o not allow to assume that flooding frequency is linearly dependent on rainfall intensi ty frequency. For this reason flooding frequency has to be estimated by the statistical an alysis of direct observations or by means of computational demanding long term numerical simulations. Using of synthetic rainfall events, with a specific return period, and of a limited num ber of simulations generally concur to affect the estimation of flooding frequency by larg e errors. The present paper investigates the use of multivariate statistics to improve the evalu ation of rainfall frequency in urban areas and the adoption of cluster analysis for reducing the n umber of simulations needed for flooding frequency analysis. The proposed approaches were applied to a real case study (the city of Palermo, Italy) using a historical flooding dataset for assessing the reliability of the analysis.

[1]  Niko E. C. Verhoest,et al.  A stochastic design rainfall generator based on copulas and mass curves , 2010 .

[2]  Ignacio Rodriguez-Iturbe,et al.  On the probabilistic structure of storm surface runoff , 1985 .

[3]  Gianfausto Salvadori,et al.  Frequency analysis via copulas: Theoretical aspects and applications to hydrological events , 2004 .

[4]  B. Bobée,et al.  Multivariate hydrological frequency analysis using copulas , 2004 .

[5]  C. Genest,et al.  Everything You Always Wanted to Know about Copula Modeling but Were Afraid to Ask , 2007 .

[6]  Subhash Sharma Applied multivariate techniques , 1995 .

[7]  Emna Gargouri-Ellouze,et al.  Modelling the dependence structure of rainfall depth and duration by Gumbel's copula , 2008 .

[8]  M. Aldenderfer Cluster Analysis , 1984 .

[9]  C. De Michele,et al.  A Generalized Pareto intensity‐duration model of storm rainfall exploiting 2‐Copulas , 2003 .

[10]  Rao S. Govindaraju,et al.  Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas , 2008 .

[11]  P Willems,et al.  Probabilistic modelling of overflow, surcharge and flooding in urban drainage using the first-order reliability method and parameterization of local rain series. , 2008, Water research.

[12]  Michalis Vazirgiannis,et al.  Clustering validity checking methods: part II , 2002, SGMD.

[13]  A. Bárdossy,et al.  Copula based multisite model for daily precipitation simulation , 2009 .

[14]  Michalis Vazirgiannis,et al.  Cluster validity methods: part I , 2002, SGMD.

[15]  Robin Sibson,et al.  The Construction of Hierarchic and Non-Hierarchic Classifications , 1968, Comput. J..

[16]  G. La Loggia,et al.  Uncertainty in urban flood damage assessment due to urban drainage modelling and depth-damage curve estimation. , 2010, Water science and technology : a journal of the International Association on Water Pollution Research.

[17]  Hirad Abghari,et al.  Cluster analysis of rainfall-runoff training patterns to flow modeling using hybrid RBF Networks. , 2009 .

[18]  Taher Niknam,et al.  A New Evolutionary Algorithm for Cluster Analysis , 2008 .

[19]  Sheng Yue,et al.  The Gumbel logistic model for representing a multivariate storm event , 2000 .

[20]  C. M. Fontanazza,et al.  Uncertainty evaluation of design rainfall for urban flood risk analysis. , 2011, Water science and technology : a journal of the International Association on Water Pollution Research.

[21]  H. Joe Multivariate models and dependence concepts , 1998 .

[22]  Richard M. Vogel,et al.  A derived flood frequency distribution for correlated rainfall intensity and duration. , 2000 .

[23]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[24]  C. Genest,et al.  Statistical Inference Procedures for Bivariate Archimedean Copulas , 1993 .