Application of cubic spline in soil erosion modeling from Narmada Watersheds, India

  • Sarita Gajbhiye MeshramEmail author
  • Pournima Laxman Powar
  • Vijay P. Singh
  • Chandrashekhar Meshram
Original Paper


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%.


Cubic spline interpolation Watershed Runoff curve number (CN) Sediment yield index (SYI) 



The authors are thankful to the anonymous reviewers for their valuable suggestions and critical comments to improve the quality of this paper. The first author is thankful to UGC-New Delhi for providing financial support under the scheme of Dr. D.S. Kothari Postdoctoral Fellowship (DSKPDF).


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Copyright information

© Saudi Society for Geosciences 2018

Authors and Affiliations

  • Sarita Gajbhiye Meshram
    • 1
    Email author
  • Pournima Laxman Powar
    • 1
  • Vijay P. Singh
    • 2
  • Chandrashekhar Meshram
    • 1
  1. 1.Department of Mathematics and Computer ScienceR.D. UniversityJabalpurIndia
  2. 2.Department of Biological and Agricultural Engineering and Zachry Department of Civil EngineeringTexas A & M UniversityCollege StationUSA

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