Extremes of Daily Rainfall in West Central Florida

Annual maxima of daily rainfall data dating from 1901 to 2003 are modeled for fourteen locations in West Central Florida. The generalized extreme value (GEV) distribution is fitted to data from each location. The location parameter of the GEV is formulated as a function of time to adequately describe the extremes of rainfall and to predict their future behavior. We find evidence of non-stationarity in the form of trends for eight of the fourteen locations considered. We quantify the change in extreme rainfall for each location and provide return levels for the years 2010, 2020, 2050 and 2100. We also derive estimates of return levels for daily rainfall and provide a classification of the fourteen locations based on the degree of severity of these estimates. This paper provides the first application of extreme value distributions to rainfall data specifically from Florida.

[1]  B. Silverman.  Density estimation for statistics and data analysis , 1986 .

[2]  J.-S. Park,et al.  Modelling Korean extreme rainfall using a Kappa distribution and maximum likelihood estimate , 2002 .

[3]  R. Arritt,et al.  On the Effect of Relative Timing of Diurnal and Large-Scale Forcing on Summer Extreme Rainfall Characteristics over the Central United States , 2002 .

[4]  S. Nadarajah,et al.  Extreme Value Distributions: Theory and Applications , 2000 .

[5]  W. Cleveland.  Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[6]  Kaz Adamowski,et al.  Detection of trends in annual extreme rainfall , 2003 .

[7]  N. Nicholls,et al.  TRENDS IN EXTREME RAINFALL INDICES FOR AN UPDATED HIGH QUALITY DATA SET FOR AUSTRALIA, 1910-1998 , 2000 .

[8]  A. Walden,et al.  Maximum likelihood estimation of the parameters of the generalized extreme-value distribution , 1980 .

[9]  J. Royston.  An Extension of Shapiro and Wilk's W Test for Normality to Large Samples , 1982 .

[10]  B. Parida.  Modelling of Indian summer monsoon rainfall using a four-parameter Kappa distribution , 1999 .

[11]  M. Cannarozzo,et al.  Investigating the changes in extreme rainfall series recorded in an urbanised area. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[12]  A. Crisci,et al.  Extreme rainfall in a changing climate: regional analysis and hydrological implications in Tuscany , 2002 .

[13]  Joan B. Rose,et al.  ENSO Influences on Seasonal Rainfall and River Discharge in Florida , 2001 .

[14]  S. Coles,et al.  An Introduction to Statistical Modeling of Extreme Values , 2001 .

[15]  Demetris Koutsoyiannis,et al.  Analysis of a Long Record of Annual Maximum Rainfall in Athens, Greece, and Design Rainfall Inferences , 2000 .

[16]  A. Jenkinson.  The frequency distribution of the annual maximum (or minimum) values of meteorological elements , 1955 .

[17]  J. D. T. Oliveira,et al.  The Asymptotic Theory of Extreme Order Statistics , 1979 .

[18]  M. Soman,et al.  Trends in the annual extreme rainfall events of 1 to 3 days duration over India , 1994 .

[19]  W. Cleveland.  LOWESS: A Program for Smoothing Scatterplots by Robust Locally Weighted Regression , 1981 .

[20]  Jeong-Soo Park,et al.  Modelling summer extreme rainfall over the Korean peninsula using Wakeby distribution , 2001 .

[21]  C. R. Rao,et al.  Linear Statistical Inference and its Applications , 1968 .

[22]  A. Wald.  Tests of statistical hypotheses concerning several parameters when the number of observations is large , 1943 .

[23]  R. Fisher,et al.  Limiting forms of the frequency distribution of the largest or smallest member of a sample , 1928, Mathematical Proceedings of the Cambridge Philosophical Society.

[24]  E. J. Gumbel,et al.  Statistics of Extremes. , 1960 .

[25]  F. Ashkar,et al.  Regional frequency analysis of extreme rainfalls. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[26]  J. R. Wallis,et al.  Estimation of the generalized extreme-value distribution by the method of probability-weighted moments , 1985 .

[27]  Phillip I. Good,et al.  Resampling Methods: A Practical Guide to Data Analysis , 2005 .

[28]  W. J. Conover,et al.  Practical Nonparametric Statistics , 1972 .

[29]  C. Duchon,et al.  ESTIMATION OF DAILY AREA-AVERAGE RAINFALL IN CENTRAL FLORIDA USING ARITHMETIC AVERAGING AND KRIGING , 2001 .

[30]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[31]  A. Gershunov.  ENSO Influence on Intraseasonal Extreme Rainfall and Temperature Frequencies in the Contiguous United States: Implications for Long-Range Predictability , 1998 .