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

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.2016.03.023Search in Google Scholar

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. 127-132Search in Google Scholar

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.)10.7202/705307arSearch in Google Scholar

Basu, B., Srinivas, V.V., 2014. Regional flood frequency analysis using kernel-based fuzzy clustering approach. Water Resour. Res., 50, 4, 3295-3316.10.1002/2012WR012828Open DOISearch in Google Scholar

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.2015.02.026Search in Google Scholar

Bellman, R., Kalaba, R., Zadeh, L.A., 1966. Abstraction and pattern classification. J. Math. Anal. Appl., 2, 581-585.Search in Google Scholar

Bezdek, J.C., 1974. Cluster validity with fuzzy sets. J. Cybernet., 3, 3, 58-73.10.1080/01969727308546047Search in Google Scholar

Bezdek, J.C., 1981. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York, 266 p.10.1007/978-1-4757-0450-1Search in Google Scholar

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)Search in Google Scholar

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.2350Open DOISearch in Google Scholar

Dunn, J.C., 1974. A fuzzy relative of the ISODATA process and its use in detecting compact well separated clusters. J. Cybernet., 3, 3, 32-57.10.1080/01969727308546046Search in Google Scholar

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)00038-9Search in Google Scholar

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)00062-6Search in Google Scholar

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)00004-9Search in Google Scholar

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.)Search in Google Scholar

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.)Search in Google Scholar

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/v10098-009-0021-1Search in Google Scholar

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.ch48Search in Google Scholar

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/s11269-014-0699-7Open DOISearch in Google Scholar

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/s11069-016-2520-9Open DOISearch in Google Scholar

Hall, M.J., Minns, A.W., 1999. The classification of hydrologically homogeneous regions. Hydrol. Sci. J., 44, 5, 693-704.10.1080/02626669909492268Search in Google Scholar

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.10.1061/9780784410042Search in Google Scholar

Hosking, J.R.M., Wallis, J.R., 1993. Some statistics useful in regional frequency-analisis. Water Resour. Res., 29, 2, 271-281.10.1029/92WR01980Open DOISearch in Google Scholar

Hosking, J.R.M., Wallis, J.R., 1997. Regional Frequency Analysis: An Approach based on L-Moments. Cambridge University Press, New York.10.1017/CBO9780511529443Search in Google Scholar

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)Open DOISearch in Google Scholar

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.2004.03.018Search in Google Scholar

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/s11269-015-0922-1Search in Google Scholar

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)Search in Google Scholar

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-NSearch in Google Scholar

Pal, N.R., Bezdek, J.C., 1995. On cluster validity for the fuzzy c-means model. IEEE Trans. Fuzzy Syst., 3, 3, 370-379.10.1109/91.413225Search in Google Scholar

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.2010.09.002Search in Google Scholar

Rao, A.R., Srinivas, V.V., 2006. Regionalization of watersheds by fuzzy cluster analysis. J. Hydrol., 318, 57-79.10.1016/j.jhydrol.2005.06.004Search in Google Scholar

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.Search in Google Scholar

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)90591-9Search in Google Scholar

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)00374-7Search in Google Scholar

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.2007.08.016Search in Google Scholar

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.2007.09.046Search in Google Scholar

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.2015.11.011Open DOISearch in Google Scholar

Xie, X.L., Beni, G., 1991. A validity measure for fuzzy clustering. IEEE Trans. Pattern Anal. Mach. Intell., 13, 8, 841-847.10.1109/34.85677Search in Google Scholar

Zadeh, L.A., 1965. Fuzzy sets. Information and Control, 8, 3, 338-353.10.1016/S0019-9958(65)90241-XOpen DOISearch in Google Scholar

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