Modelling soil erosion from a watershed using cubic splines |
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| Authors: | Sarita Gajbhiye Meshram P. L. Powar Vijay P. Singh |
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| Affiliation: | 1.Department of Water Resources Development & Management,Indian Institute of Technology,Roorkee,India;2.Department of Mathematics and Computer Science,R. D. University,Jabalpur,India;3.Department of Biological and Agricultural Engineering,Texas A&M University,College Station,USA;4.Zachry Department of Civil Engineering,Texas A&M University,College Station,USA |
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| Abstract: | Erosion in a watershed exhibits spatial and temporal variability, and its determination is fundamental to determining sediment yield which is a key to proper watershed management. In this study, we propose a relationship between the curve number (SCS 1956) and Sediment Yield Index (SYI) using cubic splines. The method is illustrated with a case study of one watershed of Narmada Basin located in Mandla district of Madhya Pradesh, India. Cubic splines are found to perform satisfactorily with Nash efficiency of 63.64%, absolute prediction error of 2.64%, integral square error of 1.22%, coefficient of correlation of 93.78% and degree of agreement of 0.99%. The relation between observed and computed SYI values is correlated with a coefficient of determination (R 2) of 0.87. Such a relationship can be used to determine SYI from the available CN value, which may be quite useful in field applications. |
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