Regionalization of watersheds by fuzzy cluster analysis

Journal of Hydrology

Volumn 318, Issue 1-4, 2006, Pages 57-79

  Rao, A Ramachandra ^a   Srinivas, V V ^b  

^a PURDUE UNIVERSITY   (United States)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Flood frequency analysis; Fuzzy cluster analysis; Fuzzy cluster validation measures; L moments; Regionalization

Indexed keywords

ALGORITHMS; CATCHMENTS; FLOOD CONTROL; HYDROLOGY;

FLOOD FREQUENCY ANALYSIS; FUZZY CLUSTER ANALYSIS; REGIONALIZATION;

WATERSHEDS;

ALGORITHMS; CATCHMENTS; FLOOD CONTROL; HYDROLOGY; WATERSHEDS;

CLUSTER ANALYSIS; FLOOD FREQUENCY; FREQUENCY ANALYSIS; FUZZY MATHEMATICS; REGIONALIZATION; WATERSHED;

EID: 31044442537     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2005.06.004     Document Type: Article

References (46)

1. M.C. Acreman Predicting the mean annual flood from basin characteristics in Scotland Hydrological Sciences Journal 30 1 1985 37 49
2. M.S. Aldenderfer, and R.K. Blashfield Cluster Analysis 1984 Sage Beverly Hills, CA
3. Z.-K. Bargaoui, V. Fortin, B. Bobée, and L. Duckstein A fuzzy approach to the delineation of region of influence for hydrometric stations Revue des sciences de l'eau 11 2 1998 255 282 (in French)
4. J.C. Bezdek Numerical taxonomy with fuzzy sets Journal of Mathematical Biology 1 1974 57 71
5. J.C. Bezdek Cluster validity with fuzzy sets Journal of Cybernetics 3 3 1974 58 72
6. J.C. Bezdek Pattern Recognition with Fuzzy Objective Function Algorithms 1981 Plenum Press New York
7. J.C. Bezdek, R. Ehrlich, and W. Full FCM: the fuzzy c-means clustering algorithm Computers and Geosciences 10 2-3 1984 191 203
8. B. Bobée, and P. Rasmussen Recent advances in flood frequency analysis, US National Report to Int. Union of Geodesy and Geophysics (1991-1994) Reviews in Geophysics 33 1995 1111 1116
9. D.H. Burn An appraisal of the 'region of influence' approach to flood frequency analysis Hydrological Sciences Journal 35 2 1990 149 165
10. D.H. Burn Evaluation of regional flood frequency analysis with a region of influence approach Water Resources Research 26 10 1990 2257 2265
11. D.H. Burn Catchment similarity for regional flood frequency analysis using seasonality measures Journal of Hydrology 202 1997 212 230
12. D.H. Burn, Z. Zrinji, and M. Kowalchuk Regionalization of catchments for regional flood frequency analysis Journal of Hydrologic Engineering 2 2 1997 76 82
13. V.T. Chow, D.R. Maidment, and L.W. Mays Applied Hydrology 1988 McGraw-Hill New York
14. J.C. Dunn A fuzzy relative of the ISODATA process and its use in detecting compact, well-separated clusters Journal of Cybernetics 3 3 1974 32 57
15. B. Everitt Cluster Analysis third ed. 1993 Halsted Press New York
16. H.D. Fill, and J.R. Stedinger Homogeneity tests based upon Gumbel distribution and a critical appraisal of Dalrymple's test Journal of Hydrology 166 1995 81 105
17. Fukuyama, Y., Sugeno, M., 1989. A new method of choosing the number of clusters for the fuzzy c-means method. Proceedings of Fifth Fuzzy Systems Symposium, pp. 247-250 (in Japanese).
18. Glatfelter, D.R., 1984. Techniques for estimating magnitude and frequency of floods on streams in Indiana. US Geological Survey, Water Resources Investigations Report 84-4134.
19. A.D. Gordon Classification second ed. 1999 Chapman & Hall/CRC New York
20. M. Halkidi, Y. Batistakis, and M. Vazirgiannis On clustering validation techniques Journal of Intelligent Information Systems 17 2001 107 145
21. M.J. Hall, and A.W. Minns The classification of hydrologically homogeneous regions Hydrological Sciences Journal 44 5 1999 693 704
22. G. Hamerly, and C. Elkan Alternatives to the k-means algorithm that find better clusterings K. Kalpakis N. Goharian D. Grossmann Proceedings of the Eleventh International Conference on Information and Knowledge Management (CIKM-02) 2002 ACM Press New York 600 607
23. J. Hartigan Clustering Algorithms 1975 Wiley New York
24. J.R.M. Hosking, and J.R. Wallis Some statistics useful in regional frequency analysis Water Resources Research 29 2 1993 271 281 (Correction: Water Resources Research 31(1), p. 251, 1995)
25. J.R.M. Hosking, and J.R. Wallis Regional Frequency Analysis: An approach based on L-Moments 1997 Cambridge University press Cambridge
26. Indiana Department of Natural Resources (IDNR). Division of Water, 2001. Input and output files of Flood Frequency Analysis, 402 W. Washington St. Room N264, Indianapolis, IN. 46204.
27. A.K. Jain, and R.C. Dubes Algorithms for Clustering Data 1988 Prentice-Hall Englewood Cliff, NJ
28. Z. Jingyi, and M.J. Hall Regional flood frequency analysis for the Gan-Ming River basin in China Journal of Hydrology 296 2004 98 117
29. L. Kaufman, and P. Rousseeuw Finding Groups in Data: An Introduction to Cluster Analysis 1990 Wiley New York
30. S.H. Kwon Cluster validity index for fuzzy clustering Electronics Letters 34 22 1998 2176 2177
31. L.H. Lu, and J.R. Stedinger Sampling variance of normalized GEV/PWM quantile estimators and a regional homogeneity test Journal of Hydrology 138 1992 223 245
32. M.P. Mosley Delimitation of New Zealand hydrologic regions Journal of Hydrology 49 1981 173 192
33. R.J. Nathan, and T.A. McMahon Identification of homogeneous regions for the purposes of regionalization Journal of Hydrology 121 1990 217 238
34. Natural Environment Research Council (NERC), 1975. Flood Studies Report, vol. I, Hydrological Studies, NERC, London.
35. N.R. Pal, and J.C. Bezdek On cluster validity for the fuzzy c-means model IEEE Transactions on Fuzzy systems 3 3 1995 370 379
36. A.R. Rao, and K.H. Hamed Regional frequency analysis of Wabash river flood data by L-Moments Journal of Hydrologic Engineering 2 4 1997 169 179
37. A.R. Rao, and V.V. Srinivas Some problems in regionalization of watersheds S. Franks G. Bloschl M. Kumagai K. Musiake D. Rosbjerg Water Resources Systems-Water Availability and Global Change Proceedings of XXIII General Assembly of the IUGG, Sapporo, Japan vol. 280 2003 IAHS Publ 301 308
38. Rao, A.R., Ernst, S., Jeong, G.D., 2002. Accuracy of Flood Flow Estimates. Proceedings of ASCE Environmental and Water Resources Institute (EWRI) Conference (CD ROM), Roanoke, Virginia, USA.
39. Rao, A.R., Srinivas, V.V., 2005. Regionalization of watersheds by Hybrid cluster analysis. Journal of Hydrology, x-ref:DOI 10.1016/j.hydrol.2005.06.003
40. Reed, D.W., Jakob, D., Robson, A.J., 1999. Selecting a pooling group. In: Robson, A.J., Reed, D.W. (Eds.), Statistical Procedures for Flood Frequency Estimation. Flood Estimation Handbook, vol. 3, Institute of Hydrology, Wallingford, UK (chapter 6).
41. T.J. Ross Fuzzy Logic with Engineering Applications 1995 McGraw-Hill New York
42. E.H. Ruspini A new approach to clustering Information and control 15 1 1969 22 32
43. Srinivas, V.V., Rao, A.R., Govindaraju, R.S., 2002. A Hybrid Cluster Analysis for Regionalization. Proceedings of ASCE Environmental and Water Resources Institute (EWRI) Conference (CD ROM), Roanoke, Virginia, USA.
44. S. Theodoridis, and K. Koutroubas Pattern Recognition 1999 Academic Press New York
45. X.L. Xie, and G. Beni A validity measure for fuzzy clustering IEEE Transactions on Pattern Analysis and Machine Intelligence 13 8 1991 841 847
46. L.A. Zadeh Fuzzy Sets Information and Control 8 3 1965 338 353