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The role of sediment rating curve development methodology on river load modeling

  • Nikolaos EfthimiouEmail author
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Abstract

The study aims to evaluate the performance of four sediment rating curve development methods, namely (i) simple rating curve, (ii) different ratings for the dry and wet season of the year, (iii) different ratings for the rising and falling limb of the runoff hydrograph, and (iv) broken line interpolation that uses different exponents for two discharge classes at the outlet of the Venetikos River catchment, located at Western Macedonia, Northern Greece. The goal is to provide guidance on the selection of the most appropriate one for the estimation of sediment discharge (yield) at this gauging site (basin), as well as to properly assess such values. The necessary field measurements (discharge, sediment discharge, discharge–sediment discharge pairs) were conducted by the Greek Public Power Corporation. The performance of each method was evaluated by executing a statistical analysis (1965–1982), using as benchmark the observed mean monthly sediment discharge values. The broken line interpolation method performed best, not only by meeting the desired criteria of most statistical indicators used but also by being overall superior to all other methods. Thus, henceforward is to be treated as the representative rating curve development method for the specific site. Finally, an attempt was made to evaluate the estimated (and observed) sediment yield values against the ones attributed by four empirical equations, yet with relatively poor results.

Keywords

Sediment discharge Suspended sediment load Sediment rating curves Empirical sediment discharge equations Venetikos river 

Notes

Acknowledgements

The author wishes to thank the Greek Public Power Corporation (PPC) for the provision of the discharge, sediment discharge, and discharge-sediment discharge pair measurements.

References

  1. Achite, M., & Ouillon, S. (2007). Suspended sediment transport in a semiarid watershed, Wadi Abd, Algeria (1973–1995). Journal of Hydrology, 343, 187–202.CrossRefGoogle Scholar
  2. Alexandris, S., Stricevic, R., & Petkovic, S. (2008). Comparative analysis of reference evapotranspiration from the surface of rain fed grass in central Serbia, calculated by six empirical methods against the Penman–Monteith formula. European Water, 21(22), 17–28.Google Scholar
  3. Arnold, J. G., Allen, P. M., & Bernhardt, G. (1993). A comprehensive surface-groundwater flow model. Journal of Hydrology, 142, 47–69.CrossRefGoogle Scholar
  4. Asselman, N. E. M. (2000). Fitting and interpretation of sediment rating curves. Journal of Hydrology, 234, 228–248.CrossRefGoogle Scholar
  5. Avendano Salas, C., Sanz Montero, E., Rayan, C. & Gomez Montana, J.L. (1997). Sediment yield at Spanish reservoirs and its relationship with the drainage area. In: Proceedings of the 19th Symposium of Large Dams, Florence, Italy, pp 863–874.Google Scholar
  6. Berengena, J., & Gavilan, P. (2005). Reference ET estimation in a highly advective semi-arid environment. Journal of Irrigation and Drainage Engineering, 131(2).Google Scholar
  7. Blanco, M. L. R., Castro, M. M. T., Palleiro, L., & Castro, M. T. T. (2010). Temporal changes in suspended sediment transport in an Atlantic catchment, NW Spain. Geomorphology, 123, 181–188.CrossRefGoogle Scholar
  8. Bradu, D., & Mundlak, Y. (1970). Estimation in lognormal linear models. Journal of the American Statistical Association, 65(329), 198–211.CrossRefGoogle Scholar
  9. Campbell, F. B., & Bauder, H. A. (1940). A rating-curve method for determining silt-discharge of streams. Transactions–American Geophysical Union, 21, 603–607.CrossRefGoogle Scholar
  10. CLC (2017). CORINE Land Cover 2000 seamless vector data. http://www.eea.europa.eu/data-and-maps/data/corine-land-cover-2000-clc2000-seamless-vector-database-4. Accessed 01 Feb 2017.
  11. Cohn, T. A., DeLong, L. L., Gilroy, E. J., Hirsch, R. M., & Wells, D. K. (1989). Estimating constituent loads. Water Resources Research, 25(5), 937–942.CrossRefGoogle Scholar
  12. Cohn, T. A., Caulder, D. L., Gilroy, E. J., Zynjuk, L. D., & Summers, R. M. (1992). The validity of a simple statistical model for estimating fluvial constituent loads: an empirical study involving nutrient loads entering Chesapeake Bay. Water Resources Research, 28, 2353–2363.CrossRefGoogle Scholar
  13. Colby, B.R. (1956). Relationship of sediment discharge to streamflow. USGS Open File Report.Google Scholar
  14. Conrad, C., & Saunderson, H. (2000). Temporal and spatial patterns of suspended sediment yields for selected rivers in the eastern United States: implications for nutrient and contaminant transfer. IAHS Publication No. 263 (pp. 37–46). Wallingford: IAHS Press.Google Scholar
  15. Cordova, J. R., & Gonzalez, M. (1997). Sediment yield estimation in small watersheds based on streamflow and suspended sediment discharge measurements. Soil Technology, 11, 57–69.CrossRefGoogle Scholar
  16. Cox, N. J., Warburton, J., Armstrong, A., & Holliday, V. J. (2008). Fitting concentration and load rating curves with generalized linear models. Earth Surface Processes and Landforms, 33, 25–39.CrossRefGoogle Scholar
  17. Crowder, D. W., Demissie, M., & Markus, M. (2007). The accuracy of sediment loads when log transformation produces nonlinear sediment load discharge relationships. Journal of Hydrology, 336, 250–268.CrossRefGoogle Scholar
  18. De Girolamo, A. M., Pappagallo, G., & Lo Porto, A. (2015). Temporal variability of suspended sediment transport and rating curves in a Mediterranean river basin: The Celone (SE Italy). Catena, 128, 135–143.CrossRefGoogle Scholar
  19. Dendy, F. E., & Bolton, G. C. (1976). Sediment yield-runoff drainage area relationships in the United States. Journal of Soil and Water Conservation, 31, 264–266.Google Scholar
  20. DiCenzo, P. D., & Luk, S. (1997). Gully erosion and sediment transport in a small subtropical catchment. Catena, 29, 161–176.CrossRefGoogle Scholar
  21. Dickinson, W. T. (1981). Accuracy and precision of suspended loads. IAHS Publication No. 133 (pp. 195–202). Wallingford: IAHS Press.Google Scholar
  22. Dijkman, J. (1978). Some characteristics of the USP–61 and Delft Bottle. Int. Report No. 5–78. Delft: Delft University of Technology.Google Scholar
  23. Dijkman, J. (1981). Investigation of characteristic parameters of Delft Bottle. Report S362. Delft: Delft Hydraulics Laboratory.Google Scholar
  24. Douglas, I. (1971). Comments on the determination of fluvial sediment discharge. Australian Geographical Studies, 9, 172–176.CrossRefGoogle Scholar
  25. Duan, N. (1983). Smearing estimate – A nonparametric retransformation method. Journal of the American Statistical Association, 78(383), 605–610.CrossRefGoogle Scholar
  26. Efthimiou, N. (2016). Developing strategies for estimating sediment yield by using Decision Support Systems at mountainous hydrological catchments. Dissertation. Agricultural University of Athens (in Greek).Google Scholar
  27. Ellison, C.A., Savage, B.E. & Johnson, G.D. (2014). Suspended-sediment concentrations, loads, total suspended solids, turbidity, and particle-size fractions for selected rivers in Minnesota, 2007 through 2011. USGS Scientific Investigations Report 2013–5205.Google Scholar
  28. Ferguson, R. I. (1986). River loads underestimated by rating curves. Water Resources Research, 22(1), 74–76.CrossRefGoogle Scholar
  29. Fox, D. G. (1981). Judging air quality model performance. A summary of the AMS workshop on Dispersion Model Performance. Bulletin of the American Meteorological Society, 62, 599–569.CrossRefGoogle Scholar
  30. Freund, R. J., Wilson, W. J., & Sa, P. (2006). Regression analysis-statistical modeling of a response variable (p. 444). Burlington: Academic Press.Google Scholar
  31. Gao, P. (2008). Understanding watershed suspended sediment transport. Progress in Physical Geography, 32(3), 243–263.CrossRefGoogle Scholar
  32. Gao, P., & Puckett, J. (2011). A new approach for linking event-based upland sediment sources to downstream suspended sediment transport. Earth Surface Processes and Landforms.  https://doi.org/10.1002/esp.2229.
  33. Gao, P., Pasternack, G. B., Bali, K. M., & Wallender, W. W. (2007). Suspended-sediment transport in an intensively cultivated watershed in southeastern California. Catena, 69, 239–252.CrossRefGoogle Scholar
  34. Gettel, M., Gulliver, J. S., Kayhanian, M., DeGroot, G., Brand, J., Mohseni, O., & Erickson, A. J. (2011). Improving suspended sediment measurements by automatic samplers. Journal of Environmental Monitoring, 13(10), 2703–2709.CrossRefGoogle Scholar
  35. Glysson, G. D. (1987). Sediment transport curves. USGS Open File Report, 87, 218–247.Google Scholar
  36. Gregory, K. J., & Walling, D. E. (1973). Drainage basin form and process. A Geomorphological Approach. London: Edward Arnold.Google Scholar
  37. Gurnell, A. M. (1987). Suspended sediment. In A. M. Gurnell & M. J. Clark (Eds.), Glacio-Fluvial Sediment Transfer (pp. 305–354). Chichester: Wiley.Google Scholar
  38. Guzman, C. D., Tilahun, S. A., Zegeye, A. D., & Steenhuis, T. S. (2013). Suspended sediment concentration–discharge relationships in the (sub–) humid Ethiopian highlands. Hydrology and Earth System Sciences, 17, 1067–1077.CrossRefGoogle Scholar
  39. Herman, E. K., Toran, L., & White, W. B. (2008). Threshold events in spring discharge: evidence from sediment and continuous water level measurement. Journal of Hydrology, 351, 98–106.CrossRefGoogle Scholar
  40. Horowitz, A. J. (2003). An evaluation of sediment rating curves for estimating suspended sediment concentrations for subsequent flux calculations. Hydrological Processes, 17, 3387–3409.CrossRefGoogle Scholar
  41. Horowitz, A. J. (2010). A quarter century of declining suspended sediment fluxes in the Mississippi River and the effect of the 1993 flood. Hydrological Processes, 24, 13–34.Google Scholar
  42. Hu, B., Wang, H., Yang, Z., & Sun, X. (2011). Temporal and spatial variations of sediment rating curves in the Changjiang (Yangtze River) basin and their implications. Quaternary International, 230, 34–43.CrossRefGoogle Scholar
  43. Jain, S. K. (2001). Development of integrated sediment rating curves using ANNs. Journal of Hydraulic Engineering, 127(1), 30–37.CrossRefGoogle Scholar
  44. Jansson, M. B. (1996). Estimating a sediment rating curve of the Reventazon River at Palomo using logged mean loads within discharge classes. Journal of Hydrology, 183, 227–241.CrossRefGoogle Scholar
  45. Jones, K. R., Berney, Q., Carr, D. P., & Barret, E. C. (1981). Arid zone hydrology for agricultural development. FAO Irrigation and Drainage Paper No. 37. Rome: FAO Publications Division.Google Scholar
  46. Kesel, R. H. (1989). The role of the Mississippi river in wetland loss in south-eastern Louisiana. Environmental Geology and Water Sciences, 13, 183–193.CrossRefGoogle Scholar
  47. Klein, M. (1984). Anti-clockwise hysteresis in suspended sediment concentration during individual storms: Holberck catchment; Yorkire, England. Catena, 11, 251–257.Google Scholar
  48. Koch, R. W., & Smillie, G. M. (1986). Bias in hydrologic prediction using log-transformed regression models. Water Resources Bulletin, 22(5), 717–723.CrossRefGoogle Scholar
  49. Koutsoyiannis, D. (2000). Broken line smoothing: a simple method for interpolating and smoothing data series. Environmental Modelling & Software, 15, 139–149.CrossRefGoogle Scholar
  50. Koutsoyiannis, D., & Tarla, K. (1987). Sediment Yield Estimations in Greece. Technica Chronica, A-7(3), 127–154.Google Scholar
  51. Kronvang, B., Laubel, A., & Grant, R. (1997). Suspended sediment and particulate phosphorus transport and delivery pathways in an arable catchment, Gelbaek stream, Denmark. Hydrological Processes, 11, 627–642.CrossRefGoogle Scholar
  52. Kuhnle, R. A., & Simon, A. (2000). Evaluation of sediment transport data for clean sediment TMDLs. Oxford: USDA ARS, National Sedimentation Laboratory.Google Scholar
  53. Laubel, A. R., Kronvang, B., Larsen, S. L., Pedersen, M. L., & Svendsen, L. M. (2000). Bank erosion as a source of sediment and phosphorus delivery to small Danish streams. IAHS Publication No. 263 (pp. 75–82). Wallingford: IAHS Press.Google Scholar
  54. Legates, D. R., & McCabe, G. J., Jr. (1999). Evaluating the use of “goodness–of–fit” measures in hydrologic and hydroclimatic model validation. Water Resources Research, 35(1), 233–241.CrossRefGoogle Scholar
  55. Lewis, J. (1996). Turbidity – controlled suspended sediment sampling for runoff – event load estimation. Water Resources Research, 32(7), 2299–2310.CrossRefGoogle Scholar
  56. Lohani, A. K., Goel, N. K., & Bhatia, K. K. S. (2007). Deriving stage–discharge–sediment concentration relationships using fuzzy logic. Hydrological Sciences Journal, 52(4), 793–807.CrossRefGoogle Scholar
  57. Loughran, R. J. (1971). Some observations on the determination of fluvial sediment discharge. Australian Geographical Studies, 9, 54–60.CrossRefGoogle Scholar
  58. Lu, X. X., Ashmore, P., & Wang, J. (2003). Sediment yield mapping in a large river basin: the Upper Yangtze, China. Environmental Modelling & Software, 18, 339–353.CrossRefGoogle Scholar
  59. Lykoudi, Ε. (2000). Geomorphological evolution of the Upper Acheloos River catchment. Dissertation. National Technical University of Athens (in Greek).Google Scholar
  60. Lykoudi, Ε. & Zarris, D. (2004). The influence of drainage network formation and characteristics over a catchment’s sediment yield. In: Proceedings of the 2nd International Conference on Fluvial Hydraulics “River Flow 2004”, 23–25 June, Naples, Italy, pp 793–800.Google Scholar
  61. Mao, L., & Carrillo, R. (2017). Temporal dynamics of suspended sediment transport in a glacierized Andean basin. Geomorphology, 287, 116–125.CrossRefGoogle Scholar
  62. Mckee, L. J., & Hossain, S. (2002). Magnitude-frequency analysis of suspended sediment loads in the subtropical Richmond River basin, Northern New South Wales, Australia. IAHS Publication No. 276 (pp. 289–296). Wallingford: IAHS Press.Google Scholar
  63. Mimikou, M. (1982). An investigation of suspended sediment rating curves in western and northern Greece. Hydrological Sciences Journal, 27(3), 369–383.  https://doi.org/10.1080/02626668209491116.
  64. Nash, J. E., & Sutcliffe, V. (1970). River flow forecasting through conceptual models, I. A discussion of principles. Journal of Hydrology, 10(3), 282–290.CrossRefGoogle Scholar
  65. Neal, C., Neal, M., Leeks, G. J. L., Old, G., Hill, L., & Wickham, H. (2006). Suspended sediment and particulate phosphorus in surface waters of the upper Thames Basin, UK. Journal of Hydrology, 330, 142–154.CrossRefGoogle Scholar
  66. Nicholas, A. P. (2003). Modelling and monitoring flow and suspended sediment transport in lowland river flood plain environments. IAHS Publication No. 283 (pp. 45–54). Wallingford: IAHS Press.Google Scholar
  67. Park, J. (1992). Suspended sediment transport in a mountainous catchment. Science Reports of the Institute of Geoscience, University of Tsukuba, A13, 137–197.Google Scholar
  68. Peters-Kummerly, B. E. (1973). Studies on composition and transport of suspended solids in some Swiss rivers. Geographica Helvetica, 28, 137–151 (in German).CrossRefGoogle Scholar
  69. Pineiro, G., Perelman, S., Guerschman, J. P., & Paruelo, J. (2008). How to evaluate models: Observed vs. Predicted or Predicted vs. Observed? Ecological Modelling, 216, 316–322.CrossRefGoogle Scholar
  70. Prestegaard, K. L. (1988). Morphological controls on sediment delivery pathways. IAHS Publication No. 174 (pp. 533–540). Wallingford: IAHS Press.Google Scholar
  71. Rasmussen, P.P., Gray, J.R., Glysson, G.D. & Ziegler, A.C. (2009). Guidelines and procedures for computing time-series suspended-sediment concentration and loads from in-stream turbidity-sensor and streamflow data. USGS Techniques and Methods 3-C4.Google Scholar
  72. Renard, K. G., Foster, G. R., Weesies, G. A., & Porter, J. P. (1991). RUSLE: Revised Universal Soil Loss Equation. Journal of Soil and Water Conservation, 46(1), 30–33.Google Scholar
  73. Rieger, W. A., Olive, L. J., & Gippel, C. J. (1988). Channel sediment behavior as a basis for modelling delivery processes. IAHS Publication No. 174 (pp. 541–548). Wallingford: IAHS Press.Google Scholar
  74. Roberts, G. (1997). The influence of sampling frequency on streamflow chemical loads. Journal of the Chartered Institution of Water and Environmental Management, 11, 114–118.CrossRefGoogle Scholar
  75. Rovira, A., & Batalla, R. J. (2006). Temporal distribution of suspended sediment transport in a Mediterranean basin: the Lower Tordera (NE Spain). Geomorphology, 79, 58–71.CrossRefGoogle Scholar
  76. Ryan, S. E., & Porth, L. S. (2007). A tutorial on the piecewise regression approach applied to bedload transport data. General Technical Report RMRS-GTR-189. Fort Collins: USDA.CrossRefGoogle Scholar
  77. Seeger, M., Errea, M. P., Beguería, S., Arnáez, J., Martí, C., & García-Ruíz, J. M. (2004). Catchment soil moisture and rainfall characteristics as determinant factors for discharge/suspended sediment hysteretic loops in a small headwater catchment in the Spanish Pyrenees. Journal of Hydrology, 288, 299–311.CrossRefGoogle Scholar
  78. Sharma, N., Zakaullah, M., Tiwari, H., & Kumar, D. (2015). Runoff and sediment yield modeling using ANN and support vector machines: a case study from Nepal watershed. Modeling Earth Systems and Environment, 1, 23.  https://doi.org/10.1007/s40808-015-0027-0.
  79. Singh, K. P., & Durgunoglu, A. (1989). Developing accurate and reliable stream sediment yields. IAHS Publication No. 184 (pp. 193–199). Wallingford: IAHS Press.Google Scholar
  80. Sivakumar, B., & Wallender, W. W. (2004). Deriving high-resolution sediment load data using a nonlinear deterministic approach. Water Resources Research, 40, W05403.  https://doi.org/10.1029/2004WR003152.CrossRefGoogle Scholar
  81. Steiger, J., Gurnell, A. M., Ergenzinger, P., & Snelder, D. (2001). Sedimentation in the riparian zone of an incising river. Earth Surface Processes and Landforms, 26, 91–108.CrossRefGoogle Scholar
  82. Stow, D. W., & Chang, H. H. (1987). Magnitude-frequency relationship of coastal sand delivery by a southern California stream. Geo-Marine Letters, 7, 217–222.CrossRefGoogle Scholar
  83. Sui, J., Jackson, P., & Fang, D. (2005). Investigation of the sediment budget of a reach of the Yellow River in the Loess Plateau. IAHS Publication No. 291 (pp. 172–181). Wallingford: IAHS Press.Google Scholar
  84. Syvitski, J. P., Morehead, M. D., Bahr, D. B., & Mulder, T. (2000). Estimating fluvial sediment transport: The rating parameters. Water Resources Research, 36(9), 2474–2760.CrossRefGoogle Scholar
  85. Tanaka, T., Marui, A., Yasuhara, M., & Takayama, S. (1983). Reconnaissance study on suspended sediment discharge during a storm event. Annual Report of the Institute of Geoscience, University of Tsukuba, 9, 32–35.Google Scholar
  86. US Environmental Protection Agency (1996). National water quality inventory. 1996 Report to Congress, Office of Water, EPA–R–97–008.Google Scholar
  87. Walling, D.E. (1974). Suspended sediment and solute yields from a small catchment prior to urbanization. In: G.K.J. Walling, D.E. Walling (Eds.), Fluvial processes in instrumented watersheds (pp. 169–92). Institute of British Geographers Special Publication No. 6.Google Scholar
  88. Walling, D.E. (1977a). Limitations of the rating curve technique for estimating suspended sediment loads, with particular reference to British rivers. In: Proceedings of the Paris Symposium “Erosion and Solid Matter Transport in Inland Waters”, July, Paris, France. IAHS Publication No. 122 (pp. 34–48). Wallingford, UK: IAHS Press.Google Scholar
  89. Walling, D. E. (1977b). Assessing the accuracy of suspended sediment rating curves for a small basin. Water Resources Research, 13, 531–538.CrossRefGoogle Scholar
  90. Walling, D. E., & Teed, A. (1971). A simple pumping sampler for research into suspended sediment transport in small catchments. Journal of Hydrology, 13, 325–337.CrossRefGoogle Scholar
  91. Walling, D. E., & Webb, B. W. (1981). The reliability of suspended sediment load data. IAHS Publication No. 133 (pp. 177–194). Wallingford: IAHS Press.Google Scholar
  92. Walling, D.E. & Webb, B.W. (1988). The reliability of rating curve estimates of suspended sediment yield: some further comments. In: Proceedings of the Porto Alegre Symposium “Sediment budgets”, 11–15 December, Porto Alegre, Brazil. IAHS Publication No. 174 (pp. 337–350). Wallingford, UK: IAHS Press.Google Scholar
  93. Webb, R.H., & Griffiths, P.G. (2001). Sediment delivery by ungauged tributaries of the Colorado River in Grand Canyon. USGS Fact Sheet 018–01.Google Scholar
  94. Williams, G. P. (1989). Sediment concentration versus water discharge during single hydrologic events in rivers. Journal of Hydrology, 111, 89–106.CrossRefGoogle Scholar
  95. Willmott, C. J. (1981). On the validation of models. Physical Geography, 2, 184–194.CrossRefGoogle Scholar
  96. Willmott, C. J. (1982). Some comments on the evaluation of model performance. Bulletin of the American Meteorological Society, 63, 1309–1313.CrossRefGoogle Scholar
  97. Willmott, C. J., & Wicks, D. E. (1980). An empirical method for the spatial interpolation of monthly precipitation within California. Physical Geography, 1, 59–73.CrossRefGoogle Scholar
  98. Wren, D. G., Barkdoll, B. D., Kuhnle, R. A., & Derrow, R. W. (2000). Field techniques for suspended-sediment measurement. Journal of Hydraulic Engineering, 126, 97–104.CrossRefGoogle Scholar
  99. Yang, G., Chen, Z., Yu, F., Wang, Z., Zhao, Y., & Wang, Z. (2007). Sediment rating parameters and their implications: Yangtze River, China. Geomorphology, 85, 166–175.CrossRefGoogle Scholar
  100. Yang, L., Liu, S., Tsoka, S., & Papageorgiou, L. G. (2016). Mathematical programming for piecewise linear regression analysis. Expert Systems with Applications, 44, 156–167.CrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Department of Natural Resources Management and Agricultural Engineering, Faculty of Water Resources ManagementAgricultural University of AthensAthensGreece

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