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Regional Frequency Analysis of Maximum Daily Rainfalls Based on L-Moment Approach

Year 2005, Volume: 2005 Issue: 1, 37 - 44, 01.06.2005

Abstract

The main goal of the study is to perform regional frequency analysis of maximum daily rainfalls selected for each year among daily rainfalls measured over Tokat region by using L-moment approach. Initially, using Runs and Mann-Whitney statistics to detect whether the conditions of randomness and homogeneity were implemented were applied to the maximum daily rainfalls. Thereafter, the most suitable distribution among the selected various statistical distributions whose parameters were predicted via L-moment approach for four hydrologic homogeneous regions of Tokat region, which was divided into four hydrologic homogeneous region as West-W, Central North-CN, Central South-CS and East-E, was determined according to the mean absolute deviation index (MADI) and mean square deviation index (MSDI) measures. The results of MADI and MSDI showed that the most suitable statistical distributions were, generalized logistic (GLO) for W and CN, generalized pareto (GPA) for CS, and generalized extreme value type I (GEV) for E.

References

  • Bayazıt, M., 1981.Hidrolojide İstatistik Yöntemler. İstanbul Teknik Üniversitesi, Yayın No : 1197, 223 s., İstanbul.
  • Bobee, B. ve Ashkar, S., 1991. The Gamma Family and Derived Distribution Applied in Hydrology. Water resources Publication, 203 s, Colorado.
  • Cromwell, J.B., Labys, W.C. and Terraza, M., 1994. Univariate Tests for Time Series Models. A Sage Publications, Series/number: 07-99, 96 p., London.
  • Gibbons, J.D., 1997. Nonparametric Methods for Quantitative Analysis. American Sciences Press, Inc.,537 p., Ohio-USA.
  • Greenwood, J.A., J.M. Landwehr, N.C. Matalas and J.R. Wallis, 1979. Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressable in Inverse Form. Water Resources Research, 15, 1049-1054.
  • Hosking, J.R.M., 1990. L-Moments: Analysis and Estimation Combinations of Order Statistics. Journal of The Royal Statistical Society Series B, 52, 105-124.
  • Hosking, J.R.M. and Wallis, J.R. 1993. Some Statistics Useful in Regional Frequency Analysis. Water Resources Research, 29, 271-281.
  • Hosking, J.R.M. and Wallis, J.R., 1997. Regional Frequency Analysis: An Approach Based on L- Moments. Cambridge University Press, 224 p., USA.
  • Huff, F.A. and Changnon, S.A., 1973. Precipitation Modification by Major Urban Areas. Bulletin American Meteorological Society, 54, 1220-1232.
  • Jain, D. and Singh, V.P., 1987. Comparison of Some Flood Frequency Distributions Using Empirical Data. “ Ed. V.P. Singh. Hydrologic Frequency Modeling”, D. Reidel Publishing Company, p 467- 485, The Netherlands.
  • Stedinger J.R., Vogel, R.M. and Georgiou, E.F. 1993. Frequency Analysis of Extreme Events. “Ed. D.R. Maidment, Handbook of Hydrology”, McGraw-Hill, Inc., Chapter 18 (1-66), New York.
  • Okman, C., 1975. Tekrarlanma Analizlerinde Hidrolojik Verilerin Seçimi, Topraksu Teknik Dergisi, 40-41, 54-58. (in Turkish).
  • Okman, C., 1994. Hydrology. University of Ankara Faculty of Agriculture, Publication No, 1388, 359p, Ankara. (in Turkish).
  • Park, J.S., Jung, H.S., Kim, R.S. and Oh, J.H., 2001. Modelling Summer Extreme Rainfall over the Korean Penissula Using Wakeby Distribution. International Journal of Climatology, 21, 1371-1384.
  • Sankarasubramanian, A. and Sirinivasan, K., 1999. Investigation Properties Moments. Journal of Hydrology, 218, 13-34.
  • Yürekli, K., 1999. Hydrologic Characteristics of Amasya Conventional of L-Moments and and Tokat Provinces. PhD. Thesis, University of Ankara, Graduate School of Natural and Applied Sciences, Department of Farm Structures and Irrigation, 207p, Ankara. (Unpublished) (inTurkish). 44

L-Moment Yaklaşımı ile Maksimum Günlük Yağmurların Bölgesel Frekans Analizi

Year 2005, Volume: 2005 Issue: 1, 37 - 44, 01.06.2005

Abstract

Bu çalışmanın ana amacı, Tokat bölgesinde ölçülen günlük yağmurlar arasından her yıl için seçilen maksimum günlük yağmurların bölgesel frekans analizini yapmaktır. Öncelikle, rasgelelik ve homojenlik şartlarının yerine getirilip getirilmediğini saptamak için Runs ve Mann-Whitney istatistikleri maksimum günlük yağmurlara uygulandı. Daha sonra, Batı-W, Orta Kuzey-CN, Orta Güney-CS ve Doğu-E olarak dört hidrolojik homojen bölgeye ayrılan Tokat bölgesinin bu homojen yöreleri için parametreleri L-moment yöntemi ile tahmin edilen seçilmiş değişik dağılımlar arasından en uygun olanı, “the mean absolute deviation index (MADI) ve mean square deviation index (MSDI)” ölçütlerine göre belirlendi. MADI ve MSDI sonuçları, W ve CN için genelleşmiş logistic (GLO), CS için genelleşmiş pareto (GPA) ve E için genelleşmiş extreme value type I (GEV)’in en uygun olasılık dağılım olduklarını gösterdi.

References

  • Bayazıt, M., 1981.Hidrolojide İstatistik Yöntemler. İstanbul Teknik Üniversitesi, Yayın No : 1197, 223 s., İstanbul.
  • Bobee, B. ve Ashkar, S., 1991. The Gamma Family and Derived Distribution Applied in Hydrology. Water resources Publication, 203 s, Colorado.
  • Cromwell, J.B., Labys, W.C. and Terraza, M., 1994. Univariate Tests for Time Series Models. A Sage Publications, Series/number: 07-99, 96 p., London.
  • Gibbons, J.D., 1997. Nonparametric Methods for Quantitative Analysis. American Sciences Press, Inc.,537 p., Ohio-USA.
  • Greenwood, J.A., J.M. Landwehr, N.C. Matalas and J.R. Wallis, 1979. Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressable in Inverse Form. Water Resources Research, 15, 1049-1054.
  • Hosking, J.R.M., 1990. L-Moments: Analysis and Estimation Combinations of Order Statistics. Journal of The Royal Statistical Society Series B, 52, 105-124.
  • Hosking, J.R.M. and Wallis, J.R. 1993. Some Statistics Useful in Regional Frequency Analysis. Water Resources Research, 29, 271-281.
  • Hosking, J.R.M. and Wallis, J.R., 1997. Regional Frequency Analysis: An Approach Based on L- Moments. Cambridge University Press, 224 p., USA.
  • Huff, F.A. and Changnon, S.A., 1973. Precipitation Modification by Major Urban Areas. Bulletin American Meteorological Society, 54, 1220-1232.
  • Jain, D. and Singh, V.P., 1987. Comparison of Some Flood Frequency Distributions Using Empirical Data. “ Ed. V.P. Singh. Hydrologic Frequency Modeling”, D. Reidel Publishing Company, p 467- 485, The Netherlands.
  • Stedinger J.R., Vogel, R.M. and Georgiou, E.F. 1993. Frequency Analysis of Extreme Events. “Ed. D.R. Maidment, Handbook of Hydrology”, McGraw-Hill, Inc., Chapter 18 (1-66), New York.
  • Okman, C., 1975. Tekrarlanma Analizlerinde Hidrolojik Verilerin Seçimi, Topraksu Teknik Dergisi, 40-41, 54-58. (in Turkish).
  • Okman, C., 1994. Hydrology. University of Ankara Faculty of Agriculture, Publication No, 1388, 359p, Ankara. (in Turkish).
  • Park, J.S., Jung, H.S., Kim, R.S. and Oh, J.H., 2001. Modelling Summer Extreme Rainfall over the Korean Penissula Using Wakeby Distribution. International Journal of Climatology, 21, 1371-1384.
  • Sankarasubramanian, A. and Sirinivasan, K., 1999. Investigation Properties Moments. Journal of Hydrology, 218, 13-34.
  • Yürekli, K., 1999. Hydrologic Characteristics of Amasya Conventional of L-Moments and and Tokat Provinces. PhD. Thesis, University of Ankara, Graduate School of Natural and Applied Sciences, Department of Farm Structures and Irrigation, 207p, Ankara. (Unpublished) (inTurkish). 44
There are 16 citations in total.

Details

Primary Language Turkish
Journal Section Research Articles
Authors

Kadri Yürekli This is me

Publication Date June 1, 2005
Published in Issue Year 2005 Volume: 2005 Issue: 1

Cite

APA Yürekli, K. (2005). L-Moment Yaklaşımı ile Maksimum Günlük Yağmurların Bölgesel Frekans Analizi. Journal of Agricultural Faculty of Gaziosmanpaşa University (JAFAG), 2005(1), 37-44.