Improved Hillslope Erosion Module for the Digital Yellow-River Model
Publication: Journal of Hydrologic Engineering
Volume 20, Issue 6
Abstract
Severe soil erosion in the Loess Plateau region and associated large sediment discharge downstream in China have been of great concern for years. A physically based distributed model, the Digital Yellow River model (DYRIM), was developed in 2007 for land management at the basin scale in this region. In DYRIM, an explicit sediment yield equation was derived based on simple assumptions where sediment discharge would increase nonlinearly with the slope length, leading to unrealistic results as the spatial scale increases. The main aims of this study were to reformulate the module of DYRIM in comparison with other process-based erosion models; to develop a generic framework for erosion prediction and simulation of erosion and sediment delivery processes within storm events; to validate the new hillslope erosion module for improved performance across a range of spatial scales; and to evaluate parameter consistency among different runoff events. Observed flow and sediment discharge data for 16 runoff events and three runoff plots with different slope lengths (20, 40, and 60 m) for each runoff event from the Tuanshangou experimental site in the Loess Plateau region were used to calibrate the new module for a 20 m slope and the calibrated parameter values were then used to predict the sediment discharge for slope lengths of 40 and 60 m at the same site. For calibration, the Nash-Sutcliffe coefficient of efficiency (NSE) was 0.92 on average for the 20 m plot. For prediction, the average NSE values were 0.87 for 40 m plot and 0.90 for the 60 m plot. There is a marked improvement over the existing module, for prediction with the existing module, the average NSE values were only for the 40 m plot and for the 60 m plot. Whereas the calibrated parameter values vary from event to event, results show that using a common set of parameter values for all runoff events to predict sediment discharge, the overall NSE values using the combined data set are as high as 0.89 for the 40 m plot and 0.90 for the 60 m plot. This research shows that it is absolutely imperative to include a control term involving the sediment transport capacity, even for the highly erodible region of the Loess Plateau in China.
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Acknowledgments
The work was commenced while the second author was on study leave at the State Key Laboratory of Hydroscience and Engineering, Tsinghua University. Support from the University for the study leave is gratefully acknowledged. The research is also funded by the National Science & Technology Support Program in the Twelfth Five-Year Plan (No. 2012BAB02B02) and through an internal scheme of the Key State Laboratory of Hydroscience and Engineering, Tsinghua University (No. 2011-KY-4).
References
Chien, N., Wang, K. Q., Yan, L. D., and Fu, R. S. (1980). “The source of coarse sediment in the middle reaches of the Yellow river and its effect on the siltation of the lower Yellow river.” Proc., Int. Symp. on River Sedimentation, Guanghua Press, Vol. 1, Beijing, 53–62 (in Chinese).
DeRoo, A. P. J., Wesseling, C. G., and Ritsema, C. J. (1996). “LISEM: A single-event physically based hydrological and soil erosion model for drainage basins. 1. Theory, input and output.” Hydrol. Processes, 10(8), 1107–1117.
Finkner, S. C., Nearing, M. A., Foster, G. R., and Gilley, J. E. (1989). “A simplified equation for modelling sediment transport capacity.” Trans. ASAE, 32(5), 1545–1550.
Flanagan, D. C., Gilley, J. E., and Franti, T. G. (2007). “Water erosion prediction project (WEPP): Development history, model capabilities, and future enhancements.” Trans. ASAE, 50(5), 1603–1612.
Flanagan, D. C., and Nearing, M. A. (1995). “USDA-water erosion prediction project: Hillslope profile and watershed model documentation.”, USDA-ARS National Soil Erosion Research Laboratory, West Lafayette, IN.
Fu, B. J., et al. (2005). “Assessment of soil erosion at large watershed scale using RUSLE and GIS: A case study in the Loess Plateau of China.” Land Degrad. Dev., 16(1), 73–85.
Govers, G. (1990). Empirical relationships for transport capacity of overland flow, Vol. 189, IAHS Publication, Wallingford, U.K., 45–63.
Hairsine, P. B., and Rose, C. W. (1991). “Rainfall detachment and deposition—Sediment transport in the absence of flow driven processes.” Soil Sci. Soc. Am. J., 55(2), 320–324.
Hairsine, P. B., and Rose, C. W. (1992a). “Modeling water erosion due to overland-flow using physical principles. 1. Sheet flow.” Water Resour. Res., 28(1), 237–243.
Hairsine, P. B., and Rose, C. W. (1992b). “ Modeling water erosion due to overland-flow using physical principles. 2. Rill flow.” Water Resour. Res., 28(1), 245–250.
He, L., Wang, G. Q., and Zhang, C. (2012). “Application of loosely coupled watershed model and channel model in Yellow river, China.” J. Environ. Inf., 19(1), 30–37.
Hernandez, M., Lane, L. J., and Stone, J. J. (1989). “Surface runoff.” USDA-water erosion prediction project: Hillslope profile model documentation, L. J. Lane and M. A. Nearing, eds., IN.
Hessel, R. (2005). “Effects of grid cell size and time step length on simulation results of the Limburg soil erosion model (LISEM).” Hydrol. Processes, 19(15), 3037–3049.
Hessel, R., Jetten, V., Liu, B. Y., Zhang, Y., and Stolte, J. (2003). “Calibration of the LISEM model for a small Loess Plateau catchment.” Catena, 54(1–2), 235–254.
Holland, J. H. (1975). Adaptation in natural and artificial systems, MIT Press, Cambridge, MA.
King, K. W., Richardson, C. W., and Williams, J. R. (1996). “Simulation of sediment and nitrate loss on a vertisol with conservation tillage practices.” Trans. ASAE, 39(6), 34–38.
Lei, A. L., and Tang, K. L. (1997). “Retrospect and prospect for soil erosion studies of ridge-hill-gully slope system.” Bull. Soil Water Conserv., 17(3), 37–43 (in Chinese).
Li, T. J., Wang, G. Q., Chen, J., and Wang, H. (2011a). “Dynamic parallelization of hydrological model simulations.” Environ. Modell. Softw., 26(12), 1736–1746.
Li, T. J., Wang, G. Q., Huang, Y. F., and Fu, X. D. (2009a). “Modeling the process of Hillslope soil erosion in the Loess Plateau.” J. Environ. Inf., 14(1), 1–10.
Li, T. J., Wang, G. Q., Xue, H., and Wang, K. (2009b). “Soil erosion and sediment transport in the gullied Loess Plateau: Scale effects and their mechanisms.” Sci. Chin. Ser. E-Technol. Sci., 52(5), 1283–1292.
Li, W. J., Li, D. X., and Wang, X. K. (2011b). “An approach to estimating sediment transport capacity of overland flow.” Sci. Chin. Technol. Sci., 54(10), 2649–2656.
Lighthill, M. J., and Whitham, G. B. (1955). “On kinematic waves. 1. Flood movement in long rivers.” Proc. R. Soc. London Ser. A-Math. Phys. Sci., 229(1178), 281–316.
Liu, B. Y., Nearing, M. A., and Risse, L. M. (1994). “Slope gradient effects on soil loss for steep slopes.” Trans. ASAE, 37(6), 1835–1840.
Liu, B. Y., Nearing, M. A., Shi, P. J., and Jia, Z. W. (2000). “Slope length effects on soil loss for steep slopes.” Soil Sci. Soc. Am. J., 64(5), 1759–1763.
Liu, B. Y., Zhang, K. L., and Xie, Y. (2002). “An empirical soil loss equation.” Proc., 12th ISCO Conf., Tsinghua Press, Beijing, 143–149.
Liu, J. H., Wang, G. Q., Li, H. H., Gong, J. G., and Han, J. Y. (2013). “Water and sediment evolution in areas with high and coarse sediment yield of the Loess plateau.” Int. J. Sediment Res., 28(4), 448–457.
Liu, Q., Li, J., Chen, L., and Xiang, H. (2004). “Dynamics of overland flow and soil erosion (I)—Overland flow.” Adv. Mech., 34(3), 360–372 (in Chinese).
Loague, K. M., and Freeze, R. A. (1985). “A comparison of rainfall-runoff modelling techniques on small upland catchments.” Water Resour. Res. 21(2), 229–248.
Ministry of Economy, Trade and Industry of Japan (METI) and the National Aeronautics and Space Administration (NASA). (2011). “ASTER global digital elevation model (version 2) by Ministry of Economy.” 〈http://gdem.ersdac.jspacesystems.or.jp/〉 (Mar. 10, 2013).
Misra, R. K., and Rose, C. W. (1995). “An examination of the relationship between erodibility parameters and soil strength.” Aust. J. Soil Res., 33(4), 715–732.
Morgan, R. P. C., et al. (1998). “The European Soil Erosion Model (EUROSEM): A dynamic approach for predicting sediment transport from fields and small catchments.” Earth Surf. Processes Landforms, 23(6), 527–544.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models. Part I—A discussion of principles.” J. Hydrol., 10(3), 282–290.
Quine, T. A., Walling, D. E., and Zhang, X. (1999). “Tillage erosion, water erosion and soil quality on cultivated terraces near Xifeng in the Loess Plateau, China.” Land Degrad. Dev., 10(3), 251–274.
Renard, K. G., Foster, G. R., Weesies, G. A., McCool, D. K., and Yoder, D. C. (1997). “Predicting soil erosion by water: A guide to conservation planning with the revised universal soil loss equation (RUSLE).” Agriculture handbook No. 703, USDA, Washington, DC.
Risse, L. M., Nearing, M. A., Nicks, A. D., and Laflen, J. M. (1993). “Error assessment in the universal soil loss equation.” Soil Sci. Soc. Am. J., 57(3), 825–833.
Shi, H., and Shao, M. G. (2000). “Soil and water loss from the Loess Plateau in China.” J. Arid. Environ., 45(1), 9–20.
Stolte, J., et al. (2003a). “Land-use induced spatial heterogeneity of soil hydraulic properties on the Loess Plateau in China.” Catena, 54(1–2), 59–75.
Stolte, J., Liu, B., Ritsema, C. J., van den Elsen, H. G. M., and Hessel, R. (2003b). “Modelling water flow and sediment processes in a small gully system on the Loess Plateau in China.” Catena, 54(1–2), 117–130.
The Yellow River Conservancy Commission of the Ministry of Water Resources of PRC. (1965). Hydrological data of Zizhou runoff experimental station for year 1963 and year 1964, Henan Province, China (in Chinese).
The Yellow River Conservancy Commission of the Ministry of Water Resources of PRC. (1968). Hydrological data of Zizhou runoff experimental station for year 1965 and year 1966, Henan Province, China (in Chinese).
The Yellow River Conservancy Commission of the Ministry of Water Resources of PRC. (1971). Hydrological data set of Zizhou runoff experimental station for year 1967 to year 1966, Henan Province, China (in Chinese).
van Maren, D. S., Winterwerp, J. C., Wu, B. S., and Zhou, J. J. (2009). “Modelling hyperconcentrated flow in the Yellow River.” Earth Surf. Processes Landform, 34(4), 596–612.
Wan, Z. H., and Wang, Z. Y. (1994). “Hyperconcentrated flow.” IAHR monograph series, Balkema, Rotterdam, The Netherlands, 230.
Wang, G., Liu, J., and Li, T. (2005). “Digital watershed model of Yellow River.” J. Basic Sci. Eng., 13(1), 1–8.
Wang, G. Q., and Li, T. J. (2009). The dynamic model of soil erosion and sediment transport in river basins, China Water and Power Press, Beijing (in Chinese).
Wang, G. Q., Wu, B. S., and Li, T. J. (2007a). “Digital Yellow river model.” J. Hydro-Environ. Res., 1(1), 1–11.
Wang, H., Fu, X. D., Wang, Y. J., and Wang, G. Q. (2013). “A high-performance temporal-spatial discretization method for the parallel computing of river basins.” Comput. Geosci., 58, 62–68.
Wang, J. X., Zheng, F. L., and Jiang, Z. S. (2008). “Assessment on WEPP model applicability (hillslope version) to hill-gully region of the Loess Plateau—A case study in slope gradient factor.” J. Sediment Res., (6), 52–60 (in Chinese).
Wang, J. X., Zheng, F. L., Jiang, Z. S., and Zhang, X. C. (2007b). “Assessment of WEPP model applicability (hillslope version) on hill-gully region of the Loess Plateau—A case study in slope length factor.” Bull. Soil Water Conserv., 27(2), 50–55 (in Chinese).
Wang, Q. J. (1991). “The genetic algorithm and its application to calibrating conceptual rainfall-runoff models.” Water Resour. Res., 27(9), 2467–2471.
Wang, X. K., Chien, N., and Hu, D. W. (1982). “The formation and process of confluence of the flow with hypercentration in the gullied loess areas of the Yellow River basin.” J. Hydraul. Eng., (7), 26–35 (in Chinese).
Wischmeier, W. H., and Smith, D. D. (1978). “Predicting rainfall erosion losses: A guide to conservation planning.” Agricultural Handbook No. 537, USDA, Washington, DC.
Wu, Y., Li, T., Sun, L., and Chen, J. (2013). “Parallelization of a hydrological model using the message passing interface.” Environ. Modell. Softw., 43, 124–132.
Xu, J. (2004a). “Response of erosion and sediment producing processes to soil and water conservation measures in the Wudinghe river basin.” Acta Geog. Sin., 59(6), 972–981 (in Chinese).
Xu, J. (2004b). “Sediment-heavily containing flows in slope-channel systems of gullied hilly area in the Loess Plateau(I): Influences of landforms and gravitational erosion.” J. Nat. Disasters, 13(1), 55–60 (in Chinese).
Yu, B., et al. (1999). “Application of a physically based soil erosion model GUEST in the absence of data on runoff rates: II. Four case studies from China, Malaysia and Thailand.” Aust. J. Soil Res., 37(1), 13–32.
Yu, B. (2003). “A unified framework for water erosion and deposition equations.” Soil Sci. Soc. Am. J., 67(1), 251–257.
Zhang, G. H., Liu, B. Y., and Zhang, X. C. (2008a). “Applicability of WEPP sediment transport equation to steep slopes.” Trans. ASABE, 51(5), 1675–1681.
Zhang, G. H., Liu, G. B., Tang, K. M., and Zhang, X. C. (2008b). “Flow detachment of soils under different land uses in the Loess Plateau of China.” Trans. ASABE, 51(3), 883–890.
Zhang, K., Li, S., Peng, W., and Yu, B. (2004). “Erodibility of agricultural soils on the Loess Plateau of China.” Soil Tillage Res., 76(2), 157–165.
Zhang, W., Xie, Y., and Liu, B. (2003). “Spatial distribution of rainfall erosivity in China.” J. Mt. Sci., 21(1), 33–40 (in Chinese).
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Journal of Hydrologic Engineering
Volume 20 • Issue 6 • June 2015
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© 2014 American Society of Civil Engineers.
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Received: Mar 20, 2014
Accepted: Oct 4, 2014
Published online: Nov 25, 2014
Discussion open until: Apr 25, 2015
Published in print: Jun 1, 2015
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