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2018 | 27 | 2 |

Tytuł artykułu

Parent flood frequency distribution of Turkish rivers

Autorzy

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
This study investigates the existence of a single parent flood frequency distribution on a Turkish scale. In the design of hydraulic structures, estimating the project flood of a given period or probability is usually the first step. Determining an acceptable design criterion depends substantially on the probability distribution of floods. In this study, annual peak series from 268 Turkish rivers was collected and a database of L-Moment ratios was constructed. The best-fit probability distribution (PD) model was investigated among seven distribution models (generalized logistic, GLO, generalized extreme value, GEV, generalized Pareto, GPA, three-parameter lognormal, LN3, Pearson type 3, P3, Gumbel, GUM, and normal distribution, N) by using a framework of L-moment ratio diagrams. The L-Moment ratio framework used in this study consisted of two sequential procedures. The first graphical procedure evaluated the L-Moment diagrams visually while the second procedure is based on the hypothetical testing procedure of L-Moment diagrams. The results of a graphical inspection of the dataset show GEV distribution as a potential parent PD of the floods in Turkey. A more detailed hypothetical testing procedure comprises Monte Carlo simulations produced from a GEV model. In a hypothetical testing procedure the variability of L-skewness and L-kurtosis values of sample data are situated within the theoretical limits of GEV distribution. Consequently, the GEV distribution is accepted as a single parent PD for annual maximum flow series of Turkey.

Słowa kluczowe

Wydawca

-

Rocznik

Tom

27

Numer

2

Opis fizyczny

p.529-539,fig.,ref.

Twórcy

  • Department of Civil Engineering, Ege University, Izmir, Turkey

Bibliografia

  • 1. CHOWDHURY J., STEDINGER J., LU L. Goodness-of-fit tests for regional generalized extreme value flood distributions, Water Resources Research, 27, 1991.
  • 2. BOBEE B., CAVADIAS G., ASHKAR F., BERNIER J., RASMUSSEN P. Towards a systematic approach to comparing distributions used in flood frequency analysis. Journal of Hydrology, 142, 121, 1993.
  • 3. ONOZ B., BAYAZIT M. Best-fit Distributions of Largest Available Flood Samples, Journal of Hydrology, 167, 1995.
  • 4. MITOSEK H.T, STRUPCZEWSKI W.G., SINGH V.P. Three procedures for selection of annual flood peak distribution, Journal of Hydrology, 323, 2006.
  • 5. MERZ R., BLOSCHL G., HUMER G. National flood discharge mapping in Austria, Natural Hazards, 46, 2008.
  • 6. DI BALDASSARE G., LAIO F., MONTANARI A. Design flood estimation using model selection criteria Physics and Chemistry of the Earth, Parts A/B/C 34 (10-12), 2009.
  • 7. LAIO F., DI BALDASSARE G., MONTANARI A. Model selection techniques for the frequency analysis of hydrological extremes. Water Resources Research, 45, W07416, 2009.
  • 8. CALENDA G., MANCINI C.P., VOLPI E. Selection of the probabilistic model of extreme floods: The case of the River Tiber in Rome. Journal of Hydrology. 371, 1, 2009.
  • 9. NOTO L.V., LA LOGGIA G. Use of L-moments approach for regional flood frequency analysis in Sicily, Italy. Water resources management, 23, 2207, 2009.
  • 10. GAMAGE W., S.H.P., HEWA G.A., SUBHASHINI W.H.C., DANIELL T.M., KEMP D. Modelling the extreme floods of South Australian catchments, MODSIM, 3435, 2009.
  • 11. HADDAD K., RAHMAN A. Selection of the best fit flood frequency distribution and parameter estimation procedure: a case study for Tasmania in Australia. Stoch. Env. Res. Risk A. 25, 415, 2011.
  • 12. AHMAD U.N., SHABRI A., ZAKARIA Z.A. Flood frequency analysis of annual maximum stream flows using L-moments and TL-moments approach. Applied Mathematical Sciences. 5, 243, 2011.
  • 13. RAHMAN A.S., RAHMAN A., ZAMAN M.A., HADDAD K., AHSAN A., IMTEAZ M. A study on selection of probability distributions for at-site flood frequency analysis in Australia, Natural Hazards, 69 (3), 2013.
  • 14. SALARPOUR M., YUSOP Z., YUSOF F. Comparison of Distribution Models for Peak flow, Flood Volume and Flood Duration. Research Journal of Applied Sciences, Engineering and Technology, 6, 733, 2013
  • 15. SALINAS J.L., CASTELLARIN A., KOHNOVA S., KJELDSEN T.R. Regional parent flood frequency distributions in Europe – Part 1: Is the GEV model suitable as a pan-European parent? Hydrology and Earth System Sciences, 18, 2014.
  • 16. KUMAR R., GOEL N.K., CHATTERJEE C., NAYAK P.C. Regional Flood Frequency Analysis using Soft Computing Techniques. Water Resour. Manag. 29, 1965, 2015.
  • 17. CASTELLARIN A., KOHNOVA S., GAAL L., FLEIG, A., SALINAS J.L., TOUMAZIS A., KJELDSEN T.R., MACDONALD N. Review of applied-statistical methods for flood-frequency analysis in Europe. NERC/Centre for Ecology and Hydrology, 122 (ESSEM COST Action ES0901), 2012.
  • 18. CUNNANE C. Statistical distributions for flood frequency analysis. WMO Operational Hydrology Report no. 33, WMO No. 718, WMO Secretariat, Geneva, Switzerland. 1989.
  • 19. McMAHON T.A., FINLAYSON B.L. HAINES A.T., SRIKANTHAN R. Global Runoff: Continental Comparisons of Annual Flows and Peak Discharges. Catena Verlag, Cremlingen-Germany. 1992.
  • 20. VOGEL R.M., FENNESSEY, N.M. L-moment diagrams should replace product moment diagrams, Water Resources Research, 29, 6, 1993.
  • 21. VOGEL R. M., WILSON I. Probability distribution of annual maximum, mean, and minimum stream flows in the United States. Journal of Hydrological Engineering. 1 (2), 1996
  • 22. BURNHAM K.P., ANDERSON D.R. Model Selection and Multimodel Inference, 2nd ed., Springer, New York, 2002.
  • 23. HOSKING J.R.M. WALLIS J.R. Regional Frequency Analysis: An Approach Based on L-moments. Cambridge University Press. 1997.
  • 24. PANDEY M.D., Van GELDER P., VRIJLING K. Assessment of an L-kurtosis-based criterion for quantile estimation, Journal of Hydrologic Engineering, 6 (4), 2001.
  • 25. KROLL C.N., VOGEL R.M. Probability distribution of low streamflow series in the United States, Journal of Hydrologic Engineering, 7 (2), 2002.
  • 26. SAF B. Regional Flood Frequency Analysis Using L-Moments for the West Mediterranean Region of Turkey. Water Resour. Manag. 23, 531, 2009.
  • 27. NOTO L.V., LA LOGGIA G. Use of L-Moments Approach for Regional Flood Frequency Analysis in Sicily, Italy. Water Resour. Manag. 23, 2207, 2009.
  • 28. KUMAR R., GOEL N.K., CHATTERJEE C., NAYAK P.C. Regional Flood Frequency Analysis using Soft Computing Techniques. Water Resour. Manag. 29, 1965, 2015.
  • 29. AHMAD I., FAWAD M., AKBAR M., ABBAS A., ZAFAR, H. Regional Frequency Analysis of Annual Peak Flows in Pakistan Using Linear Combination of Order Statistics Pol. J. Environ. Stud. 25, 6, 2016.
  • 30. KOUTSOYIANNIS D. Statistics of extremes and estimation of extreme rainfall: II. Empirical investigation of long rainfall records, Hydrological Sciences Journal, 49, 4, 2004.
  • 31. GREENWOOD J.A., LANDWEHR J.M., MATALAS N.C., WALLIS J.R. Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resources Research. 15, 1049, 1979.
  • 32. DEKA S., BORAH M., KAKATY S.C. Distribution of Annual Maximum Rainfall Series of North-East India. European Water (EW) Publications 27, 3, 2009.
  • 33. SHABRI A., ARIFF N. Frequency analysis of maximum daily rainfalls via l-moment approach. Sains Malaysiana, 38, 149, 2009
  • 34. AHMAD U.N., SHABRI A., ZAKARIA Z.A. Flood frequency analysis of annual maximum stream flows using Lmoments and TL-moments approach. Applied Mathematical Sciences. 5, 243, 2011.
  • 35. IZINYON O.C., EHIOROBO J.O. L-moments approach for flood frequency analysis of river Okhuwan in Benin- Owena River basin in Nigeria. Nigerian Journal of Technology. 33, 10, 2014
  • 36. STRUPCZEWSKI W.G., KOCHANEK K., MARKIEWICZ I., BOGDANOWICZ E., WEGLARCZYK S., SINHG V.P. On the tails of distributions of annual peak flow, Hydrology Research, 42, 171, 2011
  • 37. AHMAD I., ABBAS A., SAGHIR A., FAWAD M. Finding Probability Distributions for Annual Daily Maximum Rainfall in Pakistan Using Linear Moments and Variants Pol. J. Environ. Stud. 25, 3, 2016.
  • 38. CONOVER W.J. Practical Nonparametric Statistics, Third Edition, New York: John Wiley & Sons. 1999.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

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