Technical Papers
Sep 24, 2020

Flash Flood Peak Estimation in Small Mountainous Catchments Based on Distributed Geomorphological Unit Hydrographs Using Fuzzy C-Means Clustering

Publication: Journal of Hydrologic Engineering
Volume 25, Issue 12

Abstract

The peak flow of a flash flood is an important factor concerning flood risk management. Empirical approaches based on measured hydrological data at gauging sites can be applied to estimate flood peaks; however, they are not suitable for catchments with limited available rainfall and streamflow data, especially ungauged small mountainous catchments. This paper presents a novel method for estimating flash flood peaks in small mountainous catchments based on derived distributed geomorphologic unit hydrographs (DGUHs) using fuzzy c-means (FCM) clustering. Data from 25,130 small mountainous catchments in Gansu Province, located in northwest China, are selected for this study. The results show that (1) the derived DGUHs can reflect the strong nonlinearity of the hydrologic process over small mountainous catchments; (2) the FCM clustering method performs well in the clustering of the DGUHs, and the optimal number of clusters in this case is insensitive to the excess rainfall intensity; and (3) empirical formulas based on catchment characteristics (including drainage area, length, and the longitudinal gradient of main channel networks) can estimate flash flood peaks accurately in small mountainous catchments.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

The data that support the findings of this study are available on reasonable request from the corresponding author.

Acknowledgments

This study is financially supported by the National Key Research and Development Program (No. 2017YFC0406001) and the National Natural Science Foundation of China (Nos. 91647201, 91747102, and 51708086).

References

Al-Rawas, G. A., and C. Valeo. 2010. “Relationship between wadi drainage characteristics and peak-flood flows in arid northern Oman.” Hydrol. Sci. J. 55 (3): 377–393. https://doi.org/10.1080/02626661003718318.
Anderberg, M. R. 1973. “Cluster analysis for applications.” In Probability & mathematical statistics, 347–353. New York: Academic Press.
Archer, D. 1981. “A catchment approach to flood estimation.” J. Inst. Water Eng. Sci. 35 (3): 275–289.
Bárdossy, A. 2007. “Calibration of hydrological model parameters for ungauged catchments.” Hydrol. Earth Syst. Sci. 11 (2): 703–710. https://doi.org/10.5194/hess-11-703-2007.
Beven, K. 2001. “How far can we go in distributed hydrological modeling.” Hydrol. Earth Syst. Sci. 5 (1): 157–172.
Beven, K., and E. F. Wood. 1983. “Catchment geomorphology and the dynamics of runoff contributing areas.” J. Hydrol. 65 (1): 139–158. https://doi.org/10.1016/0022-1694(83)90214-7.
Bezdek, J. C. 1981. Pattern recognition with fuzzy objective function algorithms. New York: Plenum.
Bezdek, J. C., R. Ehrlich, and W. Full. 1984. “FCM: Fuzzy c-means algorithm.” Comput. Geosci. 36 (10): 691–698.
Blöschl, G., C. Reszler, and J. Komma. 2008. “A spatially distributed flash flood forecasting model.” Environ. Modell. Software 23 (4): 464–478. https://doi.org/10.1016/j.envsoft.2007.06.010.
Bonnifait, L., G. Delrieu, M. L. Lay, B. Boudevillain, A. Masson, P. Belleudy, E. Gaume, and G. M. Saulnier. 2009. “Distributed hydrologic and hydraulic modelling with radar rainfall input: Reconstruction of the 8–9 September 2002 catastrophic flood event in the Gard region, France.” Adv. Water Resour. 32 (7): 1077–1089. https://doi.org/10.1016/j.advwatres.2009.03.007.
Borga, M., P. Boscolo, F. Zanon, and M. Sangati. 2007. “Hydrometeorological analysis of the 29 August 2003 flash flood in the eastern Italian Alps.” J. Hydrometeorol. 8 (5): 1049–1067. https://doi.org/10.1175/JHM593.1.
Borga, M., E. Gaume, J. D. Creutin, and L. Marchi. 2008. “Surveying flash floods: Gauging the ungauged extremes.” Hydrol. Processes 22 (18): 3883–3885. https://doi.org/10.1002/hyp.7111.
Bulygina, N., C. Ballard, N. Mcintyre, G. O’Donnell, and H. Wheater. 2012. “Integrating different types of information into hydrological model parameter estimation: Application to ungauged catchments and land use scenario analysis.” Water Resour. Res. 48 (6): W06519. https://doi.org/10.1029/2011WR011207.
Cannon, R. L., J. V. Dave, and J. C. Bezdek. 1986. “Efficient implementation of the fuzzy c-means clustering algorithms.” In Vol. 8 of Proc., IEEE Transactions on Pattern Analysis and Machine Intelligence, 248–255. New York: IEEE.
Charikar, M., C. Chekuri, T. Feder, and R. Motwani. 2004. “Incremental clustering and dynamic information retrieval.” SIAM J. Comput. 33 (6): 1417–1440. https://doi.org/10.1137/S0097539702418498.
Clark, C. O. 1945. “Storage and the unit hydrograph.” Trans. Am. Soc. Civ. Eng. 110 (6): 1419–1446.
Dooge, J. C. I. 1957. “The rational method for estimating flood peaks.” Engineering 184 (1): 311–313.
Dunn, J. C. 1973. “A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters.” J. Cybern. 3 (3): 32–57. https://doi.org/10.1080/01969727308546046.
Estivill-Castro, V. 2002. “Why so many clustering algorithms: A position paper.” ACM SIGKDD Explorations Newsl. 4 (1): 65–75. https://doi.org/10.1145/568574.568575.
Everitt, B. S., G. Dunn, B. S. Everitt, and G. Dunn. 2011. Cluster analysis. New York: Wiley.
Fleming, A. 1930. “The viscosity of liquids.” Nature 125 (3154): 580. https://doi.org/10.1038/125580a0.
Fleurant, C., B. Kartiwa, and B. Roland. 2006. “Analytical model for a geomorphological instantaneous unit hydrograph.” Hydrol. Processes 20 (18): 3879–3895. https://doi.org/10.1002/hyp.6162.
Fu, S., X. Wei, and G. Zhang. 2008. “Estimation of peak flows from small watersheds on the Loess Plateau of China.” Hydrol. Processes 22 (21): 4233–4238. https://doi.org/10.1002/hyp.7030.
Guo, L., X. Zhang, R. Liu, Y. Liu, and Q. Liu. 2018. “Key techniques of flash flood disaster prevention in China.” J. Hydraul. Eng. 49 (9): 1123–1136.
Hong, H., M. Panahi, A. Shirzadi, T. Ma, J. Liu, A. X. Zhu, W. Chen, I. Kougias, and N. Kazakis. 2018. “Flood susceptibility assessment in Hengfeng area coupling adaptive neuro-fuzzy inference system with genetic algorithm and differential evolution.” Sci. Total Environ. 621 (Apr): 1124–1141. https://doi.org/10.1016/j.scitotenv.2017.10.114.
James, L. D. 1972. “Hydrologic modeling, parameter estimation, and watershed characteristics.” J. Hydrol. 17 (4): 283–307. https://doi.org/10.1016/0022-1694(72)90089-3.
Jung, Y., H. Park, D.-Z. Du, and B. L. Drake. 2003. “A decision criterion for the optimal number of clusters in hierarchical clustering.” J. Global Optim. 25 (1): 91–111. https://doi.org/10.1023/A:1021394316112.
Kaufman, L., and P. J. Rousseuw. 1990. Finding groups in data: An introduction to cluster analysis. New York: Wiley.
Kim, E. S., and H. I. Choi. 2015. “A method of flood severity assessment for predicting local flood hazards in small ungauged catchments.” Nat. Hazards 78 (3): 1–17. https://doi.org/10.1007/s11069-015-1817-4.
Kong, F., and L. Guo. 2019. “A method of deriving time-variant distributed unit hydrograph.” Adv. Water Sci. 30 (4): 477–484.
Koutroulis, A. G., and I. K. Tsanis. 2010. “A method for estimating flash flood peak discharge in a poorly gauged basin: Case study for the 13–14 January 1994 flood, Giofiros Basin, Crete, Greece.” J. Hydrol. 385 (1–4): 150–164. https://doi.org/10.1016/j.jhydrol.2010.02.012.
Liu, D., D. Niu, H. Wang, and L. Fan. 2014. “Short-term wind speed forecasting using wavelet transform and support vector machines optimized by genetic algorithm.” Renewable Energy 62 (Feb): 592–597. https://doi.org/10.1016/j.renene.2013.08.011.
Maidment, D. R., F. Olivera, A. Calver, A. Eatherall, and W. Fraczek. 1996. “Unit hydrograph derived from a spatially distributed velocity field.” Hydrol. Processes 10 (6): 831–844. https://doi.org/10.1002/(SICI)1099-1085(199606)10:6%3C831::AID-HYP374%3E3.0.CO;2-N.
Mcbratney, A. B., and A. W. Moore. 1985. “Application of fuzzy sets to climatic classification.” Agric. For. Meteorol. 35 (1): 165–185. https://doi.org/10.1016/0168-1923(85)90082-6.
MWR (China’s Ministry of Water Resources). 2016. Report of China water resources in 2016. Beijing: China Water Conservancy and Hydropower Press.
Nash, J. E. 1957. “The form of the instantaneous unit hydrograph.” Hydrol. Sci. Bull. 45 (3): 114–121.
Nasri, S., C. Cudennec, J. Albergel, and R. Berndtsson. 2004. “Use of a geomorphological transfer function to model design floods in small hillside catchments in semiarid Tunisia.” J. Hydrol. 287 (1): 197–213. https://doi.org/10.1016/j.jhydrol.2003.10.001.
Nayak, J., B. Naik, and H. S. Behera. 2015. Fuzzy c-means (FCM) clustering algorithm: A decade review from 2000 to 2014. New York: Springer.
Newson, M. D. 1978. “Drainage basin characteristics, their selection, derivation and analysis for a flood study of the British Isles.” Earth Surf. Processes 3 (3): 277–293. https://doi.org/10.1002/esp.3290030307.
O’Callaghan, J. F., and D. M. Mark. 1984. “The extraction of drainage networks from digital elevation data.” Comput. Vision Graphics Image Process. 28 (3): 323–344. https://doi.org/10.1016/S0734-189X(84)80011-0.
Plate, E. J., J. Ihringer, and W. Lutz. 1988. “Operational models for flood calculations.” J. Hydrol. 100 (1): 489–506. https://doi.org/10.1016/0022-1694(88)90198-9.
Quinn, P., K. Beven, P. Chevallier, and O. Planchon. 1991. “The prediction of hillslope flow paths for distributed hydrological modelling using digital terrain models.” Hydrol. Processes 5 (1): 59–79. https://doi.org/10.1002/hyp.3360050106.
Reed, S., J. Schaake, and Z. Zhang. 2007. “A distributed hydrologic model and threshold frequency-based method for flash flood forecasting at ungauged locations.” J. Hydrol. 337 (3–4): 402–420. https://doi.org/10.1016/j.jhydrol.2007.02.015.
Reynolds, J., M. W. Ahmad, Y. Rezgui, and J.-L. Hippolyte. 2019. “Operational supply and demand optimisation of a multi-vector district energy system using artificial neural networks and a genetic algorithm.” Appl. Energy 235 (Feb): 699–713. https://doi.org/10.1016/j.apenergy.2018.11.001.
Rodríguez-Iturbe, I., and J. B. Valdés. 1979. “The geomorphologic structure of hydrologic response.” Water Resour. Res. 15 (6): 1409–1420. https://doi.org/10.1029/WR015i006p01409.
Rui, X., M. Yu, F. Liu, and X. Gong. 2008. “Calculation of watershed flow concentration based on the grid drop concept.” Water Sci. Eng. 1 (1): 1–9.
Runkler, T. A., and C. Katz. 2006. “Fuzzy clustering by particle swarm optimization.” In Proc., IEEE Int. Conf. on Fuzzy Systems, 601–608. New York: IEEE. https://doi.org/10.1109/FUZZY.2006.1681773.
Sangati, M., M. Borga, D. Rabuffetti, and R. Bechini. 2009. “Influence of rainfall and soil properties spatial aggregation on extreme flash flood response modelling: An evaluation based on the Sesia River Basin, north western Italy.” Adv. Water Resour. 32 (7): 1090–1106. https://doi.org/10.1016/j.advwatres.2008.12.007.
Scrucca, L. 2013. “GA: A package for genetic algorithms in R.” J. Stat. Software 53 (4): 1–37. https://doi.org/10.18637/jss.v053.i04.
SCS (Soil Conservation Service). 1972. “Section 4: Hydrology.” Chap. 15 in National engineering handbook. Washington DC: USDA.
SDSSW (Specification for Division and Coding of Small Watershed). 2014. Specification for division and coding of small watershed. [In Chinese.] Beijing: Ministry of Water Resources.
Sherman, L. K. 1932. “Streamflow from rainfall by the unit-graph method.” Eng. News Rec. 108: 501–505.
SHIHF (Standard for Hydrological Information and Hydrological Forecasting). 2002. Standard for hydrological information and hydrological forecasting. [In Chinese.] Beijing: Hydropower and Electrical Press.
Sircar, J. K., R. M. Ragan, E. T. Engman, and R. A. Fink. 1991. “A GIS based geomorphic approach for the digital computation of time-area curves.” In Proc., Civil Engineering Applications of Remote Sensing and Geographic Information Systems. Reston, VA: ASCE.
Snyder, F. F. 1938. “Synthetic unit-graphs.” Eos Trans. Am. Geophys. Union 19 (1): 447–454. https://doi.org/10.1029/TR019i001p00447.
Sorman, A. U. 1995. “Estimation of peak discharge using GIUH model in Saudi Arabia.” J. Water Resour. Plann. Manage. 121 (4): 287–293. https://doi.org/10.1061/(ASCE)0733-9496(1995)121:4(287).
Sorrell, R. C. 2008. Computing flood discharges for small ungaged watersheds. Washington, DC: Michigan Dept. of Environmental Quality Land and Water Management Division.
Szilágyi, L., S. M. Szilágyi, and Z. Benyó. 2007. “A modified fuzzy c-means algorithm for MR brain image segmentation.” In Proc., Image Analysis and Recognition, 866–877. Berlin: Springer.
Tarboton, D. G. 1997. “A new method for the determination of flow directions and upslope areas in grid digital elevation models.” Water Resour. Res. 33 (2): 309–319. https://doi.org/10.1029/96WR03137.
Thomas, D., and M. Benson. 1970. Generalization of stream-flow characteristics from drainage-basin characteristics. Water-Supply Paper No. 1975. Washington, DC: USGS.
Wei, G., W. Tych, K. Beven, B. He, F. Ning, and H. Zhou. 2018. “Nierji Reservoir flood forecasting based on a Data-Based Mechanistic methodology.” J. Hydrol. 567 (Dec): 227–237. https://doi.org/10.1016/j.jhydrol.2018.10.026.
Wharton, G. 1992. “Flood estimation from channel size: Guidelines for using the channel-geometry method.” Appl. Geogr. 12 (4): 339–359. https://doi.org/10.1016/0143-6228(92)90013-D.
Wu, J., L. Ye, L. Guo, R. Ji, M. Li, and H. Zhou. 2019. “Empirical formulas of flood peak discharge based on variable fuzzy clustering in small mountainous watersheds.” Adv. Eng. Sci. 51 (4): 94–104.
Xu, C. Y. 1999. “Estimation of parameters of a conceptual water balance model for ungauged catchments.” Water Resour. Manage. 13 (5): 353–368. https://doi.org/10.1023/A:1008191517801.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 25Issue 12December 2020

History

Received: Feb 24, 2020
Accepted: Jul 1, 2020
Published online: Sep 24, 2020
Published in print: Dec 1, 2020
Discussion open until: Feb 24, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China. Email: [email protected]
Haixing Liu, Aff.M.ASCE [email protected]
Associate Professor, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China (corresponding author). Email: [email protected]
Guozhen Wei
Ph.D. Student, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China.
Guangtao Fu, Aff.M.ASCE [email protected]
Professor, Centre for Water Systems, College of Engineering, Mathematics and Physical Sciences, Univ. of Exeter, North Park Rd., Harrison Bldg., Exeter EX4 4QF, UK. Email: [email protected]
Momcilo Markus, Aff.M.ASCE [email protected]
Associate Professor, Dept. of Natural Resources and Environmental Sciences, Univ. of Illinois at Urbana-Champaign, Champaign, IL 61820. Email: [email protected]
Lei Ye, Aff.M.ASCE [email protected]
Associate Professor, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China. Email: [email protected]
Chi Zhang, Aff.M.ASCE [email protected]
Professor, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China. Email: [email protected]
Huicheng Zhou, Aff.M.ASCE [email protected]
Professor, School of Hydraulic Engineering, Dalian Univ. of Technology, No. 2 Linggong Rd., Dalian, Liaoning 116024, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share