Application of cubic spline in soil erosion modeling from Narmada Watersheds,India |
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Authors: | Sarita Gajbhiye Meshram Pournima Laxman Powar Vijay P Singh Chandrashekhar Meshram |
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Institution: | 1.Department of Mathematics and Computer Science,R.D. University,Jabalpur,India;2.Department of Biological and Agricultural Engineering and Zachry Department of Civil Engineering,Texas A & M University,College Station,USA |
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Abstract: | Soil erosion by water is ubiquitous, exhibits spatio-temporal variability, and is fundamental to determining sediment yield which is key to proper watershed management. In this study, we propose a relationship between the curve number and sediment yield index (SYI) using cubic splines. Using field data from four watersheds, the relation between observed and computed SYI is found to have a coefficient of determination (R2) value from 0.63 to 0.88 suggesting that such a relation can be used to determine SYI from the available CN value. It is found that cubic splines perform satisfactorily with Nash-Sutcliff efficiency ranging from 60.18 to 64.01%, absolute prediction error from 1.35 to 5.56%, integral square error from 1.21 to 5.82%, coefficient of correlation from 79.32 to 93.78%, and degree of agreement from 0.87 to 0.99%. |
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