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A novel fuzzy clustering approach to regionalise watersheds with an automatic determination of optimal number of clusters Cover

A novel fuzzy clustering approach to regionalise watersheds with an automatic determination of optimal number of clusters

Open Access
|Nov 2017

References

  1. Agarwal, A., Maheswaran, R., Sehgal, V., Khosa, R., Sivakumar, B., Bernhofer, C., 2016. Hydrologic regionalization using wavelet-based multiscale entropy method. J. Hydrol., 538, 22-32.10.1016/j.jhydrol.2016.03.023
  2. Arnoldus, H.B.J., 1980. An approximation of the rainfall in the universal soil loss equation. In: De Boodt, M., Gabriels, D. (Eds.), Assesment of Erosion. John Wiley & Sons, Chichester, pp. 127-132
  3. Bargaoui, Z.K., Fortin, V., Bobée, B., Duckstein, L., 1998. A fuzzy approach to the delineation of region of influence for hydrometric stations. Revue des sciences de l'eau 11, 2, 255-282. (In French.)10.7202/705307ar
  4. Basu, B., Srinivas, V.V., 2014. Regional flood frequency analysis using kernel-based fuzzy clustering approach. Water Resour. Res., 50, 4, 3295-3316.10.1002/2012WR012828
  5. Basu, B., Srinivas, V.V., 2015. Analytical approach to quantile estimation in regional frequency analysis based on fuzzy framework. J. Hydrol., 524, 30-43.10.1016/j.jhydrol.2015.02.026
  6. Bellman, R., Kalaba, R., Zadeh, L.A., 1966. Abstraction and pattern classification. J. Math. Anal. Appl., 2, 581-585.
  7. Bezdek, J.C., 1974. Cluster validity with fuzzy sets. J. Cybernet., 3, 3, 58-73.10.1080/01969727308546047
  8. Bezdek, J.C., 1981. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York, 266 p.10.1007/978-1-4757-0450-1
  9. Burn, D.H., Zrinji, Z., Kowalchuk, M., 1997. Regionalization of catchments for regional flood frequency analysis. J. Hydrol. Eng., 2, 2, 76-82.10.1061/(ASCE)1084-0699(1997)2:2(76)
  10. Dikbas, F., Mahmut, F., Cem, K., Gungor, M., 2012. Classification of precipitation series using fuzzy cluster method. Int. J. Climatol., 32, 1596-1603.10.1002/joc.2350
  11. Dunn, J.C., 1974. A fuzzy relative of the ISODATA process and its use in detecting compact well separated clusters. J. Cybernet., 3, 3, 32-57.10.1080/01969727308546046
  12. Flores-Sintas, A., Cadenas, J.M., Martin, F., 1998. A local geometrical properties application to fuzzy clustering. Fuzzy Sets and Systems, 100, 237-248.10.1016/S0165-0114(97)00038-9
  13. Flores-Sintas, A., Cadenas, J.M., Martin, F., 1999. Membership functions in the Fuzzy C-Means algorithm. Fuzzy Sets and Systems, 101, 49-58.10.1016/S0165-0114(97)00062-6
  14. Flores-Sintas, A., Cadenas, J.M., Martin, F., 2000. Partition validity and defuzzification. Fuzzy Sets and Systems, 112, 433-447.10.1016/S0165-0114(98)00004-9
  15. Fournier, F., 1960. Climat et érosion. La relation entre l´érosion du sol par l´eau et les précipitations atmosphériques. [Relationship between soil erosion by water and rainfall]. Presse Universitaire de France, Paris. (In French.)10.1097/00010694-196108000-00029
  16. Fukuyama, Y., Sugeno, M., 1989. A new method of choosing the number of clusters for the fuzzy c-means method. In: Proc. 5th Fuzzy Syst. Symp., pp. 247-250 (In Japanese.)
  17. Gaál, L., Szolgay, J., Lapin, M., Fasko, P., 2009. Hybrid approach to delineation of homogeneous regions for regional precipitation frequency analysis. J. Hydrol. Hydromech., 57, 4, 226-249.10.2478/v10098-009-0021-1
  18. Gabriels, D., 2006. Assessing the modified Fournier Index and the Precipitation Concentration Index for some European countries. In: Boardman, J., Poesen, J. (Eds.): Soil Erosion in Europe. John Wiley & Sons, Chichester, pp. 675-684.10.1002/0470859202.ch48
  19. Goyal, M.K., Gupta, V., 2014. Identification of homogeneous rainfall regimes in northeast region of India using Fuzzy Cluster Analysis. Water Resour. Manag., 28, 4491-4511.10.1007/s11269-014-0699-7
  20. Goyal, M.K., Sharma, A. 2016. A fuzzy c-means approach regionalization for analysis of meteorological drought homogeneous regions in western India. Nat. Hazards. DOI: 10.1007/s11069-016-2520-9.10.1007/s11069-016-2520-9
  21. Hall, M.J., Minns, A.W., 1999. The classification of hydrologically homogeneous regions. Hydrol. Sci. J., 44, 5, 693-704.10.1080/02626669909492268
  22. Hawkins, R.H., Ward, T.J., Woodward, D.E., Van Mullem, J.A., 2009. Curve number hydrology: state of the practice, Report of ASCE/EWRI Task Committee, American Society of Civil Engineers, Reston, Virginia, USA.10.1061/9780784410042
  23. Hosking, J.R.M., Wallis, J.R., 1993. Some statistics useful in regional frequency-analisis. Water Resour. Res., 29, 2, 271-281.10.1029/92WR01980
  24. Hosking, J.R.M., Wallis, J.R., 1997. Regional Frequency Analysis: An Approach based on L-Moments. Cambridge University Press, New York.10.1017/CBO9780511529443
  25. Isik, S., Singh, V.P., 2008. Hydrologic regionalization of watersheds in Turkey. J. Hydrol. Eng., 13, 824-834.10.1061/(ASCE)1084-0699(2008)13:9(824)
  26. Jingyi, Z., Hall, M.J., 2004. Regional flood frequency analysis for the Gan-Ming River basin in China. J. Hydrol., 296, 98-117.10.1016/j.jhydrol.2004.03.018
  27. Kumar, R., Goel, N.K., Chatterjee, C., Nayak, P.C., 2015. Regional flood frequency analysis using soft computing techniques. Water Resour. Manage., 29, 1965.10.1007/s11269-015-0922-1
  28. MAGRAMA, 2016. Ministerio de Agricultura, Alimentación y Medio Ambiente. Sistema de Información del Agua. Retrieved from http://www.magrama.gob.es/es/agua/temas/planificacionhidrologica/sia-/ (In Spanish)
  29. Nathan, R.J., McMahon, T.A., 1990. Identification of homogeneous regions for the purposes of regionalization. J. Hydrol., 121, 217-238.10.1016/0022-1694(90)90233-N
  30. Pal, N.R., Bezdek, J.C., 1995. On cluster validity for the fuzzy c-means model. IEEE Trans. Fuzzy Syst., 3, 3, 370-379.10.1109/91.413225
  31. Raju, K.S., Nagesh Kumar, D., 2011. Classification of microwatersheds based on morphological characteristics. J. Hydro- Environ. Res., 5, 101-109.10.1016/j.jher.2010.09.002
  32. Rao, A.R., Srinivas, V.V., 2006. Regionalization of watersheds by fuzzy cluster analysis. J. Hydrol., 318, 57-79.10.1016/j.jhydrol.2005.06.004
  33. Rao, A.R., Srinivas, V.V., 2008. Regionalization of Watersheds: An Approach Based on Cluster Analysis. Water Science and Technology Library Vol. 58. Springer Science & Business Media.
  34. Ross, T.J., 1995. Fuzzy Logic with Engineering Applications, McGraw-Hill, New York. Ruspini, E.H., 1969. A new approach to clustering. Inform. and Control, 15, 22-32.10.1016/S0019-9958(69)90591-9
  35. Smithers, J.C., Schulze, R.E., 2001. A methodology for the estimation of short duration design storms in South Africa using a regional approach based on L-moments. J. Hydrol., 24, 42-52.10.1016/S0022-1694(00)00374-7
  36. Soto, J., Flores-Sintas, A., Paralea-Albaladejo, J., 2008. Improving probabilities in a fuzzy clustering partition. Fuzzy Sets and Systems, 159, 406-421.10.1016/j.fss.2007.08.016
  37. Srinivas, V.V., Tripathi, S., Rao, A.R., Govindaraju, R.S., 2008. Regional flood frequency analysis by combining selforganizing feature maps and fuzzy clustering. J. Hydrol., 348, 148-166.10.1016/j.jhydrol.2007.09.046
  38. Timón, I., Soto, J., Pérez-Sánchez, H., Cecilia, J.M., 2016. Parallel implementation of fuzzy minimals clustering algorithm. Expert Systems with Applications, 48, 35-41.10.1016/j.eswa.2015.11.011
  39. Xie, X.L., Beni, G., 1991. A validity measure for fuzzy clustering. IEEE Trans. Pattern Anal. Mach. Intell., 13, 8, 841-847.10.1109/34.85677
  40. Zadeh, L.A., 1965. Fuzzy sets. Information and Control, 8, 3, 338-353.10.1016/S0019-9958(65)90241-X
DOI: https://doi.org/10.1515/johh-2017-0024 | Journal eISSN: 1338-4333 | Journal ISSN: 0042-790X
Language: English
Page range: 359 - 365
Submitted on: Jul 13, 2016
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Accepted on: Dec 2, 2016
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Published on: Nov 7, 2017
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2017 Javier Senent-Aparicio, Jesús Soto, Julio Pérez-Sánchez, Jorge Garrido, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.