Frequency analyses of annual extreme rainfall series from 5 min to 24 h

Hydrological Processes

Volumn 24, Issue 24, 2010, Pages 3574-3588

  Haktanir, Tefaruk ^a   Cobaner, Murat ^a   Kisi, Ozgur ^a  

^a ERCIYES UNIVERSITY   (Turkey)

Author keywords

Annual extreme rainfalls; Frequency analysis of extremes; Intensity duration frequency curves

Indexed keywords

COMPUTING PARAMETERS; EXTREME RAINFALL; FREQUENCY ANALYSIS; FREQUENCY CURVE; FREQUENCY TABLES; GAUGING STATIONS; GENERAL EXTREME VALUES; GOODNESS-OF-FIT TEST; INTENSITY-DURATION-FREQUENCY CURVES; LOG-NORMAL; ORIGINAL SAMPLE; PARAMETER ESTIMATION METHOD; POLYNOMIAL REGRESSION; POTENTIAL DISTRIBUTIONS; PROBABILITY WEIGHTED MOMENTS; RAINFALL DURATION; SKEWNESS COEFFICIENTS;

FLOODS; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; RAIN;

PROBABILITY DISTRIBUTIONS;

ESTIMATION METHOD; EXTREME EVENT; PRECIPITATION ASSESSMENT; PRECIPITATION INTENSITY; RAINGAUGE; SKEWNESS;

PHYTOLACCACEAE;

EID: 78149481536     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.7759     Document Type: Article

References (62)

1. Abramowitz M, Stegun IA. 1970. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications, Inc.: New York.
2. Adeloye AJ, Montaseri M. 2002. Preliminary streamflow data analyses prior to water resources planning study. Hydrological Sciences Journal 47(5): 679-692.
3. Aronica GT, Freni G. 2005. Estimation of sub-hourly DDF curves using scaling properties of hourly and sub-hourly data at partially-gauged site. Atmospheric Research 77: 114-123.
4. Benjamin JR, Cornell CA. 1970. Probability, Statistics and Decision for Civil Engineers, McGraw-Hill: New York, NY, USA.
5. Bobee B, Rasmussen PF. 1994. Statistical analysis of annual flood series. Trends in Hydrology 1: 117-135.
6. Burges SJ, Lettenmaier DP, Bates CL. 1975. Properties of the three-parameter log normal probability distribution. Water Resources Research 11(2): 229-235.
7. Burlando P, Rosso R. 1996. Scaling and multiscaling models of depth-duration-frequency curves for storm precipitation. Journal of Hydrology 187: 45-64.
8. Chow VT, Maidment DR, Mays LW. 1988. Applied Hydrology. McGraw-Hill: New York.
9. Chowdhury JU, Stedinger JR, Lu LH. 1991. Goodness-of-fit tests for regional generalized extreme value flood distribution. Water Resources Research 27(7): 1765-1777.
10. Cohen AC, Whitten BJ. 1980. Estimation in the three-parameter log-normal distribution. Journal of American Statistical Association 75(370): 399-404.
11. Cunnane C. 1989. Statistical Distributions for Flood Frequency Analysis. WMO Operational Hydrology Report No. 33. World Meteorological Organization: Geneva, Switzerland.
12. Daud MZ, Kassim AHM, Desa MNM, Nguyen VTV. 2002. Statistical analysis of at-site extreme rainfall processes in Peninsular Malaysia. FIEND 2002-Regional Hydrology: Bridging the Gap between Research and Practice In Proceedings of the Fourth International FRIEND Conference, Cape Town, South Africa, March 2002, van Laanen HAJ, Demuth S, IAHS Publication No. 274; 61-68.
13. DSI. 1990. Frequency Atlas of Maximum Rainfalls of Turkey, vol. I, Frequency Analyses of Point Rainfalls (in Turkish). General Directorate of State Water Works: Republic of Turkey, Yücetepe, Ankara, Turkey.
14. Durrans SR, Kirby JT. 2004. Regionalization of extreme precipitation estimates for the Alabama rainfall atlas. Journal of Hydrology 295: 101-107.
15. Filliben JJ. 1975. The probability plot correlation test for normality. Technometrics 17(1): 111-117.
16. Fisher RA, Tippett LHC. 1928. Limiting forms of the frequency distribution of the largest or the smallest member of a sample. Proceedings of the Cambridge Philosophical Society 24: 180-190.
17. Gumbel EJ. 1958. Statistics of Extremes. Columbia University Press: New York.
18. Haktanir T. 1991. Practical computation of gamma frequency factors. Hydrological Sciences Journal 36(6): 599-610.
19. Haktanir T. 1992. Comparison of various flood frequency distributions using annual flood peaks data of rivers in Anatolia. Journal of Hydrology 136(1-4): 1-31.
20. Haktanir T, Horlacher HB. 1993. Evaluation of various distributions for flood frequency analysis. Hydrological Sciences Journal 38(1): 15-32.
21. Haktanir T. 1997. Self-determined probability-weighted moments method and its application to various distributions. Journal of Hydrology 194: 180-200.
22. Haktanir T. 2003a. Concisely About Probability Distributions Used in Water Resources Data Analysis. In The First International Advanced Course on Water Resources Data Analysis, IACWRDA 2003, Lecture Notes, 170-222, Turkish Water Foundation (Su Vakfi), suvakfi@suvakfi.org.tr, Turkish State Water Works (DSI), Istanbul, 21-31 July 2003.
23. Haktanir T. 2003b. Divergence criteria in extreme rainfall series frequency analyses. Hydrological Sciences Journal 48(6): 917-937.
24. Haktanir T. 2008. Three Step N-R algorithm for the maximum-likelihood estimation of the general extreme values distribution parameters. Advances in Engineering Software 39(5): 384-394.
25. Haktanir T, Ardiclioglu M, Kisi O, Ozturk O, Ugurlu A. 2008. Development of a Computer Package Program for the Frequency Analysis and Depth-Duration-Recurrence Relations of 14 Sequential-Duration Recorded Annual Extreme Rainfalls Series from 5 Minutes to 24 Hours. Final Report (in Turkish) of the research project: 106Y192 supported by TUBITAK, Turkish Scientific and Technical Research Council, Ankara, Turkey.
26. Harter HL. 1976. New Tables of Percentage Points of the Pearson Type III Distribution, Technical Release No. 38. Central Technical Unit, U.S. Department of Agriculture, Soil Conservation Service, Engineering Division, Hyattsville, MA.
27. 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.
28. Hosking JRM, Wallis JR. 1997. Regional Frequency Analysis, An Approach Based on L-Moments. Cambridge University Press: New York, NY, USA.
29. Jing D, Dedun S, Ronfu Y. 1989a. Further research on application of probability weighted moments in estimating parameters of the Pearson type three distribution. Journal of Hydrology 110: 239-257.
30. Jing D, Dedun S, Ronfu Y, Yu H. 1989b. Expressions relating probability weighted moments to parameters of several distributions inexpressible in inverse form. Journal of Hydrology 110: 259-270.
31. Karim MA, Chowdhury JU. 1995. A comparison of four distributions used in flood frequency analysis in Bangladesh. Hydrological Sciences Journal 40(1): 55-66.
32. Katz RW, Parlange MB, Naveau P. 2002. Statistics of extremes in hydrology. Advances in Water Resources 25: 1287-1304.
33. Kottegoda NT. 1980. Stochastic Water Resources Technology. The McMillan Press Ltd: New York, NY, USA.
34. Koutsoyiannis D, Kozonis D, Manetas A. 1998. A mathematical framework for studying rainfall intensity-duration-frequency relationships. Journal of Hydrology 206: 118-135.
35. Lettenmaier DP, Burges SJ. 1982. Gumbel's extreme value I distribution: a new look. Journal of the Hydraulics Division, ASCE 108(HY4): 502-514.
36. Matalas NC, Wallis JR. 1973. Eureka! It fits a Pearson type 3 distribution. Water Resources Research 9(2): 281-289.
37. Mailhot A, Duchesne S, Caya D, Talbot G. 2007. Assessment of future change in intensity-duration-frequency (IDF) curves for Southern Quebec using the Regional Canadian Climate Model (RCCM). Journal of Hydrology 347: 197-210.
38. Natural Environment Research Council (NERC). 1975. Flood Studies Report, Volume I, Hydrological Studies. NERC: London, UK.
39. Naveau P, Nogaj M, Ammann J, Yiou P, Cooley D, Jomelli V. 2005. Statistical methods for the analysis of climate extremes. C.R. Geoscience 337: 1013-1022.
40. Odeh RE, Evans JO. 1974. Algorithm AS70: percentage points of the normal distribution. Applied Statistics 23: 96-97.
41. Otten A, Montfort MAJ. 1980. Maximum-likelihood estimation of the general extreme-value distribution parameters. Journal of Hydrology 47: 187-192.
42. Overeem A, Buishand A, Holleman I. 2008. Rainfall depth-duration-frequency curves and their uncertainties. Journal of Hydrology 348(1-2): 124-134.
43. Onoz B, Bayazit M. 1995. Best-fit distributions of largest available flood samples. Journal of Hydrology 167: 195-208.
44. Porras PJ Sr, Porras PJ Jr. 2001. New perspective on rainfall frequency curves. Journal of Hydrologic Engineering ASCE 6(1): 82-85.
45. Prescott P, Walden AT. 1980. Maximum likelihood estimation of the parameters of the generalized extreme-value distribution. Biometrika 67(3): 723-724.
46. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. 1992. Numerical Recipes in Fortran 77, The Art of Scientific Computing, 2nd edn, Volume 1 of Fortran Numerical Recipes. Cambridge University Press: London, UK.
47. Rao DV. 1987. Fitting log-Pearson type 3 distribution by maximum likelihood. In Proceedings of International Symposium on Flood Frequency and Risk Analyses, Hydrologic Frequency Modeling, Louisiana State University, Baton Rouge, 14-17 May 1986. Reidel Dordrecht, Boston, MA, USA; 395-406.
48. Rao AR, Hamed HH. 2000. Flood Frequency Analysis. CRC Press: Boca Raton, FA.
49. Sangal BP, Biswas AK. 1970. The 3-parameter lognormal distribution and its applications in hydrology. Water Resources Research 6(2): 505-515.
50. Sankarasubramanian A, Srinivasan K. 1999. Investigation and comparison of sampling properties of L-moments and conventional moments. Journal of Hydrology 218: 13-34.
51. Schaefer MG. 1990. Regional analyses of precipitation annual maxima in Washington State. Water Resources Research 26(1): 119-131.
52. Slimani M, Lebel T. 1987. Comparison of three methods of estimating rainfall frequency parameters according to the duration of accumulation. In Proceedings of International Symposium on Flood Frequency and Risk Analyses, Hydrologic Frequency Modeling, Louisiana State University, Baton Rouge, 14-17 May 1986. Reidel Dordrecht; 277-291.
53. Song D, Hou Y. 1988. A new method for estimating parameters of log-normal distribution. Report. Nanjing Research Institute on Hydrology and Water Resources.
54. Stedinger JR. 1980. Fitting log normal distributions to hydrologic data. Water Resources Research 26(1): 119-131.
55. Svensson C, Clarke RT, Jones DA. 2007. An experimental comparisons of methods for estimating rainfall intensity-duration-frequency relations from fragmentary records. Journal of Hydrology 341: 79-87.
56. USGS. 1982. Guidelines for Determining Flood Flow Frequency. Bulletin 17-B. Hydrology Subcommittee, USGS, Office of Water Data Coordination: Springfield, VA, USA.
57. Whalen TM, Savage GT, Garret D. 2002. The method of self-determined probability weighted moments revisited. Journal of Hydrology 268(1-4): 177-191.
58. Whalen TM, Savage GT, Jeong GD. 2004. An evaluation of the self-determined probability weighted moments method for estimating extreme wind speeds. Journal of Hydrology 92(3-4): 219-239.
59. Wilks DS. 1993. Comparison of three-parameter probability distributions for representing annual extreme and partial duration precipitation series. Water Resources Research 29(10): 3543-3549.
60. Willems P. 2000. Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and storm types. Journal of Hydrology 233: 189-205.
61. WMO. 1973. Manual for Estimation of Probable Maximum Precipitation, Operational Hydrology Report No. 1. World Meteorological Organization, Secretariat of the World Meteorological Organization, Geneva, Switzerland.
62. Yu FX, Naghavi B. 1994. Estimating distribution parameters using optimization techniques. Hydrological Sciences Journal 39(4): 391-403.