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Mathematical expression of discharge capacity of compound open channels using MARS technique

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Abstract

In this paper, analytical methods, artificial neural network (ANN) and multivariate adaptive regression splines (MARS) techniques were utilised to estimate the discharge capacity of compound open channels (COC). To this end, related datasets were collected from literature. The results showed that the divided channel method with a coefficient of determination (R 2) value of 0.76 and root mean square error (RMSE) value of 0.162 has the best performance, among the various analytical methods tested. The performance of applied soft computing models with R 2=0.97 and RMSE = 0.03 was found to be more accurate than analytical approaches. Comparison of MARS with the ANN model, in terms of developed discrepancy ratio (DDR) index, showed that the accuracy of MARS model was better than that of MLP model. Reviewing the structure of the derived MARS model showed that the longitudinal slope of the channel (S), relative flow depth (H r ) and relative area (A r ) have a high impact on modelling and forecasting the discharge capacity of COCs.

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Acknowledgement

We are grateful to Dr Hojjatallah Yonesi, Assistant Professor at Lorestan University, Khorramabad, Iran, who introduced us to the advanced concept of compound open channel hydraulics.

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Authors and Affiliations

  1. Water Engineering Department, Lorestan University, Khorramabad, Iran

    ABBAS PARSAIE & AMIR HAMZEH HAGHIABI

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  1. ABBAS PARSAIE
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  2. AMIR HAMZEH HAGHIABI
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Correspondence to ABBAS PARSAIE.

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Corresponding editor: Subimal Ghosh

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PARSAIE, A., HAGHIABI, A.H. Mathematical expression of discharge capacity of compound open channels using MARS technique. J Earth Syst Sci 126, 20 (2017). https://doi.org/10.1007/s12040-017-0807-1

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  • DOI: https://doi.org/10.1007/s12040-017-0807-1

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