Types of probability distributions in the evaluation of extreme floods

Water Resources

Volumn 38, Issue 7, 2011, Pages 962-971

  Gubareva, T S ^a  

^a PACIFIC INSTITUTE OF GEOGRAPHY   (Russian Federation)

Author keywords

flood series; method of L moments; probability analysis; probability distribution

Indexed keywords

ALGORITHM; EMPIRICAL ANALYSIS; EXTREME EVENT; FLOOD; PROBABILITY; RIVER DISCHARGE;

AUSTRIA; FAR EAST; HAWAIIAN ISLANDS; SIBERIA;

EID: 84855522664     PISSN: 00978078     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0097807811070074     Document Type: Article

References (29)

1. Bolgov, M. V., and Pisarenko, V. F., The Distribution of Peak Runoff Values in Maritime Territory Rivers, Water Resour., 1999, vol. 26, no. 6, pp. 636-646.
2. Vinogradov, Yu. B., Matematicheskoe modelirovanie protsessov formirovaniya stoka (Mathematical Modeling Runoff Formation Processes), Leningrad: Gidrometeoizdat, 1988.
3. Gartsman, B. I. and Stepanova, M. V., Specific Aspects of Hydrological Calculations of Maximal Runoff in Far East, Geogr. Prir. Resur., 1996, no. 4, pp. 103-110.
4. Gartsman, B. I. and Bugaets, A. N., Application of a Model of Flood Cycle in a Small River Basin in Maximal-Runoff Calculations, in Gidrometeorologiya i ekologiya Dal'nego Vostoka (Hydrometeorology and Ecology of Far East), DVNIGMI Special Issue no. 4, Vladivostok: Dal'nauka, 2003, pp. 76-93.
5. Gartsman, B. I., Effect of Basin Counter-Regulation in the Formation of Extreme Rain Floods, Geogr. Prir. Resur., 2007, no. 1, pp. 14-21.
6. Gubareva, T. S., Statistical Regularities in Maximal Runoff in Amur Basin Rivers, in Analiz i stokhasticheskoe modelirovanie ekstremal'nogo stoka na rekakh Evrazii v usloviyakh izmeneniya klimata. Tr. mezh. Sem. (Analysis and Stochastic Modeling of Extreme Runoff in Eurasian Rivers under Changing Climate. Proc. Int. Workshop), Irkutsk: Izd. Instituta geografii SO RAN, 2004, pp. 182-191.
7. Naidenov, V. I., Shveikina, B. I., and Vikhrova, M. A., Probabilistic Regularities in Catastrophic Floodds, Meteorol. Gidrol., 2003, no. 6, pp. 81-95.
8. Naidenov, V. I., Nelineinaya dinamika poverkhnostnykh vod sushi (Nonlinear Dynamics of Continental Surface Water), Moscow: Nauka, 2004.
9. Rodkin, M. V., Typification of Catastrophic Manifestations of Natural Hazards, in Prirodnye opasnosti Rossii. T. 6. Otsenka i upravlenie prirodnymi riskami (Natural Hazards in Russia, vol. 6, Assessment and Control of Natural Risks), Moscow: KRUK, 2003, pp. 85-102.
10. Pisarenko, V. F., Bolgov, M. V., Osipova, H. V., and Rukavishnikova, T. A., Application of the Theory of Extreme Events to Problems of Approximating Probability Distributions of Water Flow Peaks, Water Resour., 2002, vol. 29, no. 6, pp. 593-604.
11. Ben-Zvi, A., and Azmov, B., Joint Use of L-moment Diagram and Goodness-of-Fit Test: A Case Study of Diverse Series, J. Hydrology, 1997, vol. 198, pp. 245-259.
12. Bernardara, P., Schertzer, D., Sauquet, E., Tchigirinskaya, I., and Lang, M., The Flood Probability Distribution Tail: How Heavy Is It?, Stochastic Environmental Research and Risk Assessment, 2007, vol. 22, no. 1, pp. 107-122.
13. De Haan, L., On Regular Variation and Its Applications to Weak Convergence of Sample Extremes, Math. Centre Tracts., vol. 32, Amsterdam: Math. Centrum, 1970.
14. Fisher, R., and Tippett, L., On the Estimation of the Frequency Distributions of the Largest or Smallest Member of a Sample, Proc. Cambridge Philosoph. Soc., 1928, Iss. 24, pp. 180-190.
15. Frequency and Risk Analysis in Hydrology, Kite, G. W., Ed., Littleton. Colorado. USA: Water Resources Publications, 1988.
16. Gingras, D., and Adamowski, K., Coupling of Non-Parametric and L-moment Analysis for Mixed Distribution Identification, Water Res. Bull., 1992, vol. 28, no. 2, pp. 263-272.
17. Greenwood, J. A., Landwehr, J. M., Matalas, N. C., and Wallis, J. R., Probability Weighted Moments: Definitions and Relation to Parameters of Several Distributions Expressible in Inverse Form, Water Resour. Res., 1979, vol. 15, pp. 1049-1054.
18. Hosking, J. R. M., and Wallis, J. R., Regional Frequency Analysis. An Approach Based on L-moments, Cambridge: Cambridge Univ. Press, 1997.
19. Jenkinson, A. F., The Frequency Distribution of the Annual Maximum (or Minimum) Value of Meteorological Elements, The Quarterly J. Royal Meteorological Society, 1955, vol. 81, Iss. 350, pp. 158-171.
20. Malamud, B. D., and Turcotte, D. L., The Applicability of Power-Law Frequency Statistics to Floods, J. Hydrology, 2006, vol. 322, nos. 1-4, pp. 168-180.
21. Nathan, R. J., and Weinmann, P. E., Application of at-Site and Regional Flood Frequency Analysis, Proc. Int. Hydrology and Water Resources Symp., Australia: Inst. of Engineers, 1991, pp. 769-774.
22. Pearson, C. P., New Zealand Regional Flood Frequency Analysis Using L-moments, J. Hydrology, 1991, vol. 30, no. 2, pp. 53-63.
23. Pickands, J., Statistical Inference Using Extreme Order Statistics, The Annals of Statistics, 1975, vol. 3, no. 1, pp. 119-131.
24. Pilon, P. J. and Adamowski, K., The Value of Regional Information To Flood Frequency Analysis Using the Method of L-moments, Canad. J. Civil Engineering, 1992, no. 19, pp. 137-147.
25. Rao, A. R., and Hamed, K. H., Regional Frequency Analysis of Wabash River Flood Data By L-moments, J. Hydrologic Engineering, 1997, vol. 2, Iss. 4, pp. 169-179.
26. Turcotte, D. L., Modelling Geomorphic Processes, Physica D: Non-linear Phenomena, 1994, vol. 77, nos. 1-4, pp. 229-237.
27. Vogel, R. M., McMahon, T. A., and Chiew, F. H. S., Floodflow Frequency Model Selection in Australia, J. Hydrology, 1993, vol. 146, pp. 421-449.
28. Vogel, R. M., Thomas Jr. W. O., and McMahon, T. A., Flood Flow Frequency Model Selection in Southwestern United States, J. Water Resources Planning and Management, 1993, vol. 119, Iss. 3, pp. 353-366.
29. Vogel, R. M., and Wilson, I., Probability Distribution of Annual Maximum, Mean, and Minimum Streamflows in the United States, J. Hydrologic Engineering, 1996, vol. 1, Iss. 4, pp. 69-76.