Soil erosion modeling of watershed using cubic, quadratic and quintic splines

Sarita Gajbhiye Meshram (), Vijay P. Singh, Ozgur Kisi and Chandrashekhar Meshram
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Sarita Gajbhiye Meshram: Ton Duc Thang University
Vijay P. Singh: Texas A & M University
Ozgur Kisi: Ilia State University
Chandrashekhar Meshram: College of Chhindwara University

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2021, vol. 108, issue 3, No 16, 2719 pages

Abstract: Abstract Soil erosion is widespread with spatio-temporal variability and is central to the determination of sediment yield, which is vital to proper management of watersheds. We propose a relation between the Curve Number (SCS 1956) and the Sediment Yield Index (SYI) using cubic, quadratic and quintic splines in this research. Using Mohgaon watershed (part of Narmada Basin) data, the relation between observed and computed SYI is found to have a coefficient of determination (R2) value of 0.87, 0.40 and 0.10 corresponding cubic, quadratic and quintic splines suggesting that such a relation can be used to determine SYI from the available CN value. The cubic spline was found to be the best method with respect to Absolute Prediction Error (APE), Integral Square Error (ISE), Coefficient of Efficiency (CE), Coefficient of Correlation (CC) and degree of agreement (d) (i.e., APE = 1.35, ISE = 3.09, CE = 62.08, CC = 79.60 and d = 0.99). The quintic spline (with an average value of APE = 19.59, ISE = 7.84, CE = − 165.73, CC = 19.30 and d = 0.26) and the quadratic spline (with an average value of APE = 20.99, ISE = 8.92, CE = − 199.90, CC = 8.95 and d = 0.15) ranked as the 2nd and the 3rd best methods, respectively.

Keywords: Sediment yield index; Cubic/quadratic/quintic spline; Mohgaon watershed; Soil erosion (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11069-021-04796-5

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