Simplified SMA-inspired 1-parameter SCS-CN model for runoff estimation

Research output: Contribution to journalArticle


This study proposes a simplified 1-parameter SCS-CN model (M5) based on Mishra-Singh (2002) model and soil moisture accounting (SMA) procedure for surface runoff estimation and compares its performance with the existing SCS-CN method (SCS, 1956) (M1), Michel 1-P model (Water Resour Res 41:1-6, 2005) (M2), Sahu 1-P model (Hydrol Process 21:2872-2881, 2007) (M3), and Ajmal et al. model (J Hydrol 530:623-633, 2015) (M4) using large rainfall–runoff dataset of 48,763 events from123 USDA-ARS watersheds. The performance of models was evaluated using three statistical error indices such as Nash-Sutcliffe efficiency (NSE), root mean square error (RMSE), percentage bias (PBIAS), and rank and grading system (RGS). Based on the results obtained, the models can be ranked as follows: M5 > M4 > M3 > M1 > M2, i.e., model M5 outperformed all the remaining four models M1–M4 and hence is recommended for field applications.


  • Sangeeta Verma
  • Pushpendra Kumar Singh
  • Surendra Kumar Mishra
  • Sanjay Kumar Jain
  • Ronny Berndtsson
  • Anju Singh
  • Ravindra Kumar Verma
External organisations
  • National Institute of Industrial Engineering, India
  • National Institute of Hydrology, India
  • Indian Institute of Technology, Roorkee
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics
  • Civil Engineering


  • Curve number, SCS-CN method, Soil moisture accounting, Surface runoff
Original languageEnglish
Article number420
JournalArabian Journal of Geosciences
Issue number15
Publication statusPublished - 2018 Aug 1
Publication categoryResearch