Transfer function models of suspended sediment concentration

The majority of past suspended sediment concentration modeling efforts have relied on simple regression analysis. Problems with these models, and in particular, sediment rating curves, have been gaining attention recently. It is argued here that many of the problems result from the fact that simple regression models are inappropriate for modeling fluvial systems because they fail to adequately represent the dynamic nature of fluvial processes. Transfer function models are system models which can account for the dynamic nature of fluvial systems. Single input-single output and multiple input-single output transfer function models for daily suspended sediment concentration are developed for two drainage basins in Iowa. Interpretation of the models with respect to hydrologic theory indicates that model form and parameter estimates can be related to drainage basin size, land use, and physiographic characteristics.

[1]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[2]  G. Griffiths SOME SUSPENDED SEDIMENT YIELDS FROM SOUTH ISLAND CATCHMENTS, NEW ZEALAND , 1981 .

[3]  David B. Beasley,et al.  Modeling sediment yields from agricultural watersheds , 1982 .

[4]  G. Griffiths,et al.  High sediment yields from major rivers of the western Southern Alps, New Zealand (reply) , 1979, Nature.

[5]  Angela M. Gurnell,et al.  Box-Jenkins Transfer Function Models Applied to Suspended Sediment Concentration-Discharge Relationships in a Proglacial Stream , 1984 .

[6]  R. Ferguson River Loads Underestimated by Rating Curves , 1986 .

[7]  J. Vansickle Stochastic predictions of sediment yields from small coastal watersheds in Oregon, U.S.A. , 1982 .

[8]  K. Lemke AN EVALUATION OF TRANSFER‐FUNCTION/NOISE MODELS OF SUSPENDED SEDIMENT CONCENTRATION , 1990 .

[9]  Lon-Mu Liu,et al.  Identification of multiple-input transfer function models , 1982 .

[10]  T. Sharma,et al.  System model of daily sediment yield , 1980 .

[11]  D. Walling Assessing the accuracy of suspended sediment rating curves for a small basin , 1977 .

[12]  I. Jansen,et al.  Predicting sediment yield from climate and topography , 1974 .

[13]  M. Collins Sediment yield studies of headwater catchments in Sussex, S.E. England , 1981 .

[14]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[15]  L. Duckstein,et al.  THE USE OF MULTIPLE REGRESSION MODELS IN PREDICTING SEDIMENT YIELD , 1976 .

[16]  M. Jansson A Comparison of Detransformed Logarithmic Regressions and Power Function Regressions , 1985 .

[17]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[18]  Input-output model for runoff-sediment yield processes , 1979 .

[19]  T. Dunne,et al.  Sediment yield and land use in tropical catchments , 1979 .

[20]  D. Walling,et al.  Drainage basin form and process , 1973 .

[21]  H. Tong,et al.  Threshold time series modelling of two Icelandic riverflow systems , 1985 .

[22]  A. I. McLeod,et al.  Advances in Box-Jenkins modeling: 1. Model construction , 1977 .

[23]  A. D. Abrahams,et al.  IMPACT OF CONSTRUCTION ACTIVITIES ON SEDIMENT RESPONSE IN A SMALL DRAINAGE BASIN, WESTERN NEW YORK , 1983 .

[24]  M. R. Karlinger,et al.  Daily water and sediment discharges from selected rivers of the eastern United States; a time-series modeling approach , 1983 .

[25]  K. Richards Stochastic processes in one-dimensional series: An introduction , 1979 .

[26]  Paul Whitehead,et al.  A time-series approach to modelling stream acidity , 1986 .

[27]  D. Walling The sediment delivery problem , 1983 .

[28]  W. T. Dickinson,et al.  Accuracy and precision of suspended sediment loads , 1981 .