Abstract
Support Vector Regression (SVR) combined with Invasive Weeds Optimization (IWO), standalone SVR, and Radial Basis Function Neural Networks are applied to estimate channel sinuosity in perennial rivers. With this aim, a dataset with 132 sinuosity data and related geomorphologic data, corresponding to 119 perennial streams, is considered. Bayesian Mutual Information theory is used to determine the parameters affecting channel sinuosity to reveal that bankfull depth affects sinuosity the most. Seven input parameter combinations for sinuosity prediction are considered, and in both training and testing stages, the SVR-IWO model \(\left( {R_{Train} = 0.959,RMSE_{Train} = 0.072, MAE_{Train} = 0.037, R_{test} = 0.892, RMSE_{Test} = 0.103, MAE_{Test} = 0.065} \right)\) shows the best prediction performance while the standalone SVR model generated the results with performances of \(\left( {R_{Train} = 0.792,RMSE_{Train} = 0.158, MAE_{Train} = 0.141, R_{test} = 0.704, RMSE_{Test} = 0.163, MAE_{Test} = 0.151} \right)\). Model prediction uncertainty is quantified in terms of entropy for the three models considered, further confirming that the sinuosity set predicted by the SVR-IWO model is the closest to the observed set.
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References
Ahmed J, Constantine JA, Dunne T (2019) The role of sediment supply in the adjustment of channel sinuosity across the Amazon Basin. Geology 47:807–810
Archer E, Park IM, Pillow JW (2013) Bayesian and quasi-Bayesian estimators for mutual information from discrete data. Entropy 15:1738–1755
Baghalian S, Bonakdari H, Nazari F, Fazli M (2012) Closed-form solution for flow field in curved channels in comparison with experimental and numerical analyses and artificial neural network. Eng Appl Comput Fluid Mech 6:514–526
Beechie T, Imaki H (2014) Predicting natural channel patterns based on landscape and geomorphic controls in the Columbia River basin, USA. Water Resour Res 50:39–57
Bonakdari H, Gholami A, Gharabaghi B (2019) Modelling Stable Alluvial River Profiles Using Back Propagation-Based Multilayer Neural Networks, in: Intelligent Computing-Proceedings of the Computing Conference. Springer, pp. 607–624. https://doi.org/10.1007/978-3-030-22871-2_41
Chen W, Liu W, Huang W, Liu H (2016) Prediction of salinity variations in a tidal estuary using artificial neural network and three-dimensional hydrodynamic models. Comput Water Energy Environ Eng 6:107–128
Deike GH, White WB (1969) Sinuosity in limestone solution conduits. Am J Sci 267:230–241
Dente E, Lensky NG, Morin E, Dunne T, Enzel Y (2019) Sinuosity evolution along an incising channel: new insights from the Jordan River response to the Dead Sea level fall. Earth Surf Process Landf 44:781–795
Diop L, Samadianfard S, Bodian A, Yaseen ZM, Ghorbani MA, Salimi H (2020) Annual rainfall forecasting using hybrid artificial intelligence model: integration of multilayer perceptron with whale optimization algorithm. Water Resour Manag 34:733–746
Fattahi H, Babanouri N (2017) Applying optimized support vector regression models for prediction of tunnel boring machine performance. Geotech Geol Eng 35:2205–2217
Ferguson RI (1977) Meander sinuosity and direction variance. Geol Soc Am Bull 88:212–214
Flor A, Pinter N, Remo JWF (2010) Evaluating levee failure susceptibility on the Mississippi River using logistic regression analysis. Eng Geol 116:139–148
Gholami A, Bonakdari H, Ebtehaj I, Gharabaghi B, Khodashenas SR, Talesh SHA, Jamali A (2018) A methodological approach of predicting threshold channel bank profile by multi-objective evolutionary optimization of ANFIS. Eng Geol 239:298–309
Gholami A, Bonakdari H, Akhtari AA, Ebtehaj I (2019a) A combination of computational fluid dynamics, artificial neural network and support vectors machines model to predict flow variables in curved channel. Sci Iran 26:726–741
Gholami A, Bonakdari H, Samui P, Mohammadian M, Gharabaghi B (2019b) Predicting stable alluvial channel profiles using emotional artificial neural networks. Appl Soft Comput 78:420–437
Gholami A, Bonakdari H, Ebtehaj I, Khodashenas SR (2020) Reliability and sensitivity analysis of robust learning machine in prediction of bank profile morphology of threshold sand rivers. Measurement 153:107411
Ghosh P (2000) Estimation of channel sinuosity from paleocurrent data: a method using fractal geometry. J Sediment Res 70:449–455
Haghbin M, Sharafati A, Motta D, Al-Ansari N, Noghani MHM (2021) Applications of soft computing models for predicting sea surface temperature: a comprehensive review and assessment. Prog Earth Planet Sci 8:1–19
Haghbin M, Sharafati A, Dixon B, Kumar V (2020) Application of soft computing models for simulating nitrate contamination in groundwater: comprehensive review, assessment and future opportunities. Arch Comput Methods Eng 1–23. https://doi.org/10.1007/s11831-020-09513-2
Ham F, Kostanic I (2000) Fundamental neurocomputing concepts. Principles of Neurocomputing for Science and Engineering. McGraw-Hill Science/Engineering/Math; 1st edition (September 29, 2000)
Hausser J, Strimmer K (2009) Entropy inferenceand the James-Stein estimator, with application to nonlinear gene association networks. J Mach Learn Res 10:1469–1484. Available online from: https://jmlr.csail.mit.edu/papers/v10/hausser09a.html
Hlaváčková-Schindler K, Paluš M, Vejmelka M, Bhattacharya J (2007) Causality detection based on information-theoretic approaches in time series analysis. Phys Rep 441:1–46
Hooke RLB (1975) Distribution of sediment transport and shear stress in a meander bend. J Geol 83:543–565
Hutter M, Zaffalon M (2002) Distribution of mutual information for robust feature selection
Hutter M (2002) Distribution of mutual information. Adv Neural Inf Process Syst 1:399–406
Jamei M, Ahmadianfar I (2020) A rigorous model for prediction of viscosity of oil-based hybrid nanofluids. Phys A Stat Mech Appl 556:124827
Jamei M, Ahmadianfar I, Chu X, Yaseen ZM (2020) Prediction of surface water total dissolved solids using hybridized wavelet-multigene genetic programming: new approach. J Hydrol 589:125335
Javaheri N, Ghomeshi M, Kashefipour SM (2008) Use of the fuzzy method for determination of sediment balance and its role on the morphological changes in meandering rivers. Asian J Sci Res 4:32–40
Kleinhans MG, van den Berg JH (2011) River channel and bar patterns explained and predicted by an empirical and a physics-based method. Earth Surf Process Landf 36:721–738
Le Roux JP (1992) Determining the channel sinuosity of ancient fluvial systems from paleocurrent data. J Sediment Res 62:283–291
Leopold LB, Wolman MG (1957) River channel patterns: braided, meandering, and straight. US Government Printing Office. https://doi.org/10.3133/pp282B
Lewin J, Brewer PA (2001) Predicting channel patterns. Geomorphology 40:329–339
Li MM, Verma B, Fan X, Tickle K (2008) RBF neural networks for solving the inverse problem of backscattering spectra. Neural Comput Appl 17:391–397
Liu L, Xin J, Feng Y, Zhang B, Song K-I (2019) Effect of the cement-tailing ratio on the hydration products and microstructure characteristics of cemented paste backfill. Arab J Sci Eng 44(7):6547–6556
Mehrabian AR, Lucas C (2006) A novel numerical optimization algorithm inspired from weed colonization. Ecol Inform 1:355–366
Moharana S, Khatua KK (2014) Prediction of roughness coefficient of a meandering open channel flow using Neuro-Fuzzy Inference System. Measurement 51:112–123
Moody-Stuart M (1966) High-and low-sinuosity stream deposits, with examples from the Devonian of Spitsbergen. J Sediment Res 36:1102–1117
Naganna SR, Deka PC, Ghorbani MA, Biazar SM, Al-Ansari N, Yaseen ZM (2019) Dew point temperature estimation: application of artificial intelligence model integrated with nature-inspired optimization algorithms. Water 11:742
Nanson GC, Hickin EJ (1983) Channel migration and incision on the Beatton River. J Hydraul Eng 109:327–337
Pham DHB, Hoang TT, Bui Q-T, Tran NA, Nguyen TG (2019) Application of machine learning methods for the prediction of river mouth morphological variation: a comparative analysis of the Da Dien Estuary, Vietnam. J Coast Res 35:1024–1035. https://doi.org/10.2112/JCOASTRES-D-18-00109.1
Pourrajab R, Ahmadianfar I, Jamei M, Behbahani M (2020) A meticulous intelligent approach to predict thermal conductivity ratio of hybrid nanofluids for heat transfer applications. J Therm Anal Calorim 1–18. https://doi.org/10.1007/s10973-020-10047-9
Rényi A (1959) On measures of dependence. Acta Math Acad Sci Hung 10:441–451
Riahi-Madvar H, Ayyoubzadeh SA, Atani MG (2011) Developing an expert system for predicting alluvial channel geometry using ANN. Expert Syst Appl 38:215–222
Sahu M, Jana S, Agarwal S, Khatua KK, Mohapatra S (2011) Point form velocity prediction in meandering open channel using artificial neural network. In: 2nd International Conference on Environmental Science and Technology. pp. 209–212
Schumm SA (1963) Sinuosity of alluvial rivers on the Great Plains. Geol Soc Am Bull 74:1089–1100
Shaghaghi S, Bonakdari H, Gholami A, Ebtehaj I, Zeinolabedini M (2017) Comparative analysis of GMDH neural network based on genetic algorithm and particle swarm optimization in stable channel design. Appl Math Comput 313:271–286. https://doi.org/10.1016/j.amc.2017.06.012
Shannon CE, Weaver W (1949) A mathematical model of communication. Univ. Illinois Press, Urbana, p 11
Sharafati A, Haghbin M, Haji Seyed Asadollah SB, Tiwari NK, Al-Ansari N, Yaseen ZM (2020) Scouring depth assessment downstream of weirs using hybrid intelligence models. Appl Sci 10:3714
Sharafati A, Masoud H, Tiwari NK, Bhagat SK, Al-Ansari N, Chau K-W, Yaseen ZM (2021b) Performance evaluation of sediment ejector efficiency using hybrid neuro-fuzzy models. Eng Appl Comput Fluid Mech 15:627–643
Sharafati A, Haghbin M, Torabi M, Yaseen ZM (2021a) Assessment of novel nature-inspired fuzzy models for predicting long contraction scouring and related uncertainties. Front Struct Civ Eng. https://doi.org/10.1007/s11709-021-0713-0
Singh VP (2014) Entropy theory in hydraulic engineering: An introduction. American Society of Civil Engineers, Reston
Smith CE (1998) Modeling high sinuosity meanders in a small flume. Geomorphology 25:19–30
Tafarojnoruz A, Sharafati A (2020) New formulations for prediction of velocity at limit of deposition in storm sewers based on a stochastic technique. Water Sci Technol 81:2634–2649
Tahershamsi A, Tabatabai MRM, Shirkhani R (2012) An evaluation model of artificial neural network to predict stable width in gravel bed rivers. Int J Environ Sci Technol 9:333–342
Tao H, Habib M, Aljarah I, Faris H, Afan HA, Yaseen ZM (2021b) An intelligent evolutionary extreme gradient boosting algorithm development for modeling scour depths under submerged weir. Inf Sci (ny) 570:172–184
Tao H, Al-Bedyry NK, Khedher KM, Shahid S, Yaseen ZM (2021a) River water level prediction in coastal catchment using hybridized relevance vector machine model with improved grasshopper optimization. J Hydrol 598:126477
Van den Berg JH (1995) Prediction of alluvial channel pattern of perennial rivers. Geomorphology 12:259–279
Waszczyszyn Z (2010) Advances of soft computing in engineering. Springer Science & Business Media, New York
Woolderink HAG, Cohen KM, Kasse C, Kleinhans MG, Van Balen RT (2021) Patterns in river channel sinuosity of the Meuse, Roer and Rhine rivers in the Lower Rhine Embayment rift-system, are they tectonically forced? Geomorphology 375:107550
Yang F, Paindavoine M (2003) Implementation of an RBF neural network on embedded systems: real-time face tracking and identity verification. IEEE Trans Neural Networks 14:1162–1175
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MH proposed the topic, carried out the investigation, modeling and participated in drafting the manuscript. AS participated in coordination, aided in the interpretation of results, and paper editing. DM helped in data gathering, carried out the visualization and paper editing. All authors read and approved the final manuscript.
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Haghbin, M., Sharafati, A. & Motta, D. Prediction of channel sinuosity in perennial rivers using Bayesian Mutual Information theory and support vector regression coupled with meta-heuristic algorithms. Earth Sci Inform 14, 2279–2292 (2021). https://doi.org/10.1007/s12145-021-00682-7
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DOI: https://doi.org/10.1007/s12145-021-00682-7