Modelling soil erosion from a watershed using cubic splines Academic Article uri icon


  • © 2017, Saudi Society for Geosciences. 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 (R2) 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.

author list (cited authors)

  • Meshram, S. G., Powar, P. L., & Singh, V. P.

citation count

  • 8

publication date

  • March 2017