An effective dynamic runoff-sediment yield modeling for Shakkar watershed, Central India

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ORIGINAL PAPER

An effective dynamic runoff-sediment yield modeling for Shakkar watershed, Central India Sarita Gajbhiye Meshram 1,2

&

Chandrashekhar Meshram 3

Received: 1 August 2019 / Accepted: 26 October 2020 # Saudi Society for Geosciences 2020

Abstract Modeling of the watershed runoff and sediment yield method is very variable and nonlinear in nature. The Shakkar watershed of the Narmada river basin, Central India, has been taken under the study. The linear dynamic (LD), nonlinear dynamic (NLD), and logarithm dynamic (LogD) sediment yield prediction models based on the concept of determining and assigning the varying weightings to the antecedent events for the runoff-sediment process were developed for the watershed. The data set (1990–2005) model was developed only by using active daily runoff data, together with the antecedent runoff index (AQI) and antecedent sediment yield index (ASYI). Due to the high value of R2 (over 60%), the linear, nonlinear, and logarithm dynamic model was discovered to be appropriate for the field of research. The Nash-Sutcliff efficiency (NSE), mean absolute error (MAE), and Willmott’s index (WI) were employed to assess the performance of the models. The results showed that the NLD model was found better than linear and logarithm models. These models had Nash-Sutcliff efficiency (NSE = 92.69, 64.93, 79.66), mean absolute error (MAE = 5744.20, 12,618.83, 0.02), and Willmott’s index (WI = 0.98, 0.88, 0.95) correspondingly. Hence, the NLD model can be used for predicting sediment. In order to take the right conservation steps in the watershed to minimize the sediment load in the reservoir to boost the lives of the structure, the forecast for the sediment yield is of great importance. Keywords Sediment yield . Runoff . AQI . ASYI . Daily dynamic model

Abbreviations LD NLD LogD AQI ASYI NSE

Linear dynamic Nonlinear dynamic Logarithm dynamic Antecedent runoff index Antecedent sediment yield index Nash-Sutcliff efficiency

Responsible Editor: Broder J. Merkel

MAE WI Q S SY MT m3/s k0, k1, k2, k3 R2

Mean absolute error Willmott’s index Runoff Sediment Sediment yield Metric Tonne Meter cube per second Regression coefficient Correlation coefficient

* Sarita Gajbhiye Meshram [email protected]

Introduction Chandrashekhar Meshram [email protected] 1

Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2

Faculty of Environment and Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam

3

Department of Post Graduate Studies and Research in Mathematics, Jayawanti Haksar Government Post Graduation College, College of Chhindwara University, Chhindwara, Betul, India

Research on rainfall and runoff produced sediment-based problems would be very helpful in knowing the broad issue of soil degradation and soil erosion in an agricultural nation like India, where there are growing pressures on soil and water resources from the inhabitants (Renard 1980; Dhruv Narayana and Babu 1983; Meshram et al. 20