Regional frequency analysis of rainfall extremes in Southern Malawi using the index rainfall and L-moments approaches

Rainfall extremes often result in the occurrence of flood events with associated loss of life and infrastructure in Malawi. However, an understanding of the frequency of occurrence of such extreme events either for design or disaster planning purposes is often limited by data availability at the desired temporal and spatial scales. Regionalisation, which involves “trading time for space” by pooling together observations for stations with similar behavior, is an alternative approach for more accurate determination of extreme events even at ungauged areas or sites with short records. In this study, regional frequency analysis of rainfall extremes in Southern Malawi, large parts of which are flood prone, was undertaken. Observed 1-, 3-, 5- and 7-day annual maximum rainfall series for the period 1978–2007 at 23 selected rainfall stations in Southern Malawi were analysed. Cluster analysis using scaled at-site characteristics was used to determine homogeneous rainfall regions. L-moments were applied to derive regional index rainfall quantiles. The procedure also validated the three rainfall regions identified through homogeneity and heterogeneity tests based on Monte Carlo simulations with regional average L-moment ratios fitted to the Kappa distribution. Based on assessments of the accuracy of the derived index rainfall quantiles, it was concluded that the performance of this regional approach was satisfactory when validated for sites not included in the sample data. The study provides an estimate of the regional characteristics of rainfall extremes that can be useful in among others flood mitigation and engineering design.

[1]  D. Easterling Regionalization of thunderstorm rainfall in the contiguous United States , 1989 .

[2]  Robert Leconte,et al.  Stochastic multisite generation of daily precipitation data using spatial autocorrelation , 2007 .

[3]  Ataur Rahman,et al.  Design rainfall estimation in Australia: a case study using L moments and Generalized Least Squares Regression , 2011 .

[4]  Hans von Storch,et al.  Misuses of Statistical Analysis in Climate Research , 1995 .

[5]  I. T. Jolliffe,et al.  Analysis of Climate Variability. Applications of Statistical Techniques , 1997 .

[6]  G. V. Regenmortel Regionalization of Botswana rainfall during the 1980s using principal component analysis , 1995 .

[7]  Sajidu,et al.  Groundwater fluoride levels in villages of Southern Malawi and removal studies using bauxite , 2008 .

[8]  W. B. Langbein,et al.  Information content of the mean , 1962 .

[9]  H. B. Mann Nonparametric Tests Against Trend , 1945 .

[10]  J. R. Wallis,et al.  Regional precipitation-frequency analysis and spatial mapping for 24-hour and 2-hour durations for Washington State , 2007 .

[11]  J. H. Ward Hierarchical Grouping to Optimize an Objective Function , 1963 .

[12]  J. Stedinger Estimating a regional flood frequency distribution , 1983 .

[13]  H. Storch,et al.  Analysis of Climate Variability , 1995 .

[14]  N. V. Joshi,et al.  Coherent rainfall zones of the Indian region , 1993 .

[15]  Sheng Yue,et al.  Applicability of prewhitening to eliminate the influence of serial correlation on the Mann‐Kendall test , 2002 .

[16]  V. V. Srinivas,et al.  Regional frequency analysis of precipitation using large-scale atmospheric variables , 2008 .

[17]  A. Kulkarni,et al.  Classification of summer monsoon rainfall patterns over India , 1992 .

[18]  Shibayan Sarkar,et al.  Development of isopluvial map using L-moment approach for Tehri-Garhwal Himalaya , 2010 .

[19]  G. La Loggia,et al.  Use of L-Moments Approach for Regional Flood Frequency Analysis in Sicily, Italy , 2009 .

[20]  B. Venkatesh,et al.  Identification of homogeneous rainfall regimes in parts of Western Ghats region of Karnataka , 2007 .

[21]  H. Fowler,et al.  A regional frequency analysis of United Kingdom extreme rainfall from 1961 to 2000 , 2003 .

[22]  M. Kendall Rank Correlation Methods , 1949 .

[23]  Lars Bärring,et al.  Reginalization of daily rainfall in Kenya by means of common factor analysis , 1988 .

[24]  Q. Shao,et al.  Regional frequency analysis and spatio-temporal pattern characterization of rainfall extremes in the Pearl River Basin, China , 2010 .

[25]  M. J. Hall,et al.  Regional flood frequency analysis for the Gan-Ming River basin in China , 2004 .

[26]  H. Storch,et al.  Analysis of climate variability : applications of statistical techniques : proceedings of an autumn school organized by the Commission of the European Community on Elba from October 30 to November 6, 1993 , 1995 .

[27]  M. Rebetez,et al.  Regionalization of precipitation in Switzerland by means of principal component analysis , 1997 .

[28]  J. Hosking L‐Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics , 1990 .

[29]  Chong-Yu Xu,et al.  Evaluation of spatial and temporal characteristics of rainfall in Malawi: a case of data scarce region , 2011 .

[30]  M. Kendall,et al.  Rank Correlation Methods , 1949 .

[31]  Regional analysis of annual maximum and partial duration flood data by nonparametric and L-moment methods , 2000 .

[32]  Roland Schulze,et al.  A methodology for the estimation of short duration design storms in South Africa using a regional approach based on L-moments , 2001 .

[33]  X. Chen,et al.  Regional flood frequency and spatial patterns analysis in the Pearl River Delta region using L-moments approach , 2010 .

[34]  P. Moran Notes on continuous stochastic phenomena. , 1950, Biometrika.

[35]  P. E. O'connell,et al.  IAHS Decade on Predictions in Ungauged Basins (PUB), 2003–2012: Shaping an exciting future for the hydrological sciences , 2003 .

[36]  R. Vogel,et al.  L moment diagrams should replace product moment diagrams , 1993 .

[37]  F. Rodrigo,et al.  Spatio-temporal patterns of seasonal rainfall in Spain (1912-2000) using cluster and principal component analysis: comparison , 2004 .

[38]  I. J. Jackson The spatial correlation of fluctuations in rainfall over Tanzania: A preliminary analysis , 1972 .

[39]  Y. Dinpashoh,et al.  Selection of variables for the purpose of regionalization of Iran's precipitation climate using multivariate methods , 2004 .

[40]  Carlos A. Coelho,et al.  Evidence of trends in daily climate extremes over southern and west Africa , 2006 .

[41]  Singh Kk,et al.  Space-time variation and regionalization of seasonal and monthly summer monsoon rainfall of the sub-Himalayan region and Gangetic plains of India , 1996 .

[42]  J. R. Wallis,et al.  Regional Frequency Analysis Using L -Moments , 1992 .

[43]  Chong-Yu Xu,et al.  Regional analysis of low flow using L-moments for Dongjiang basin, South China , 2006 .

[44]  J. R. Wallis,et al.  Regional Frequency Analysis: An Approach Based on L-Moments , 1997 .

[45]  Dominic Mazvimavi,et al.  Prediction of base flows from basin characteristics: a case study from Zimbabwe / Prévision de débits de base à partir de caractéristiques du bassin: une étude de cas au Zimbabwe , 2004 .

[46]  B. Parida,et al.  Regional rainfall frequency analysis for Botswana using L-Moments and radial basis function network , 2008 .

[47]  N. Guttman,et al.  The Use of L-Moments in the Determination of Regional Precipitation Climates , 1993 .

[48]  Marco Borga,et al.  Regional frequency analysis of extreme precipitation in the eastern Italian Alps and the August 29, 2003 flash flood , 2007 .

[49]  M. Jury,et al.  Climate variability in Malawi, part 2: sensitivity and prediction of lake levels , 2002 .

[50]  Richard M. Vogel,et al.  Trends in floods and low flows in the United States: impact of spatial correlation , 2000 .

[51]  M. Schaefer Regional analyses of precipitation annual maxima in Washington State , 1990 .

[52]  S. Durrans,et al.  Regionalization of Low-Flow Frequency Estimates: AN Alabama Case Stui)y , 1996 .

[53]  M. Jury,et al.  Climate variability in Malawi, part 1: dry summers, statistical associations and predictability , 2002 .

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

[55]  C. F. Kossack,et al.  Rank Correlation Methods , 1949 .

[56]  I. Aigbedion Potential for rock-polishing enterprises in southwestern Nigeria , 2006 .

[57]  M. C. Ramos,et al.  Divisive and hierarchical clustering techniques to analyse variability of rainfall distribution patterns in a Mediterranean region , 2001 .