Comparison of wavelet-based hybrid models for the estimation of daily reference evapotranspiration in different climates

Reference evapotranspiration (ETo) is one of the most important factors in the hydrologic cycle and water balance studies. In this study, the performance of three simple and three wavelet hybrid models were compared to estimate ETo in three different climates in Iran, based on different combinations of input variables. It was found that the wavelet-artificial neural network was the best model, and multiple linear regression (MLR) was the worst model in most cases, although the performance of the models was related to the climate and the input variables used for modeling. Overall, it was found that all models had good accuracy in terms of estimating daily ETo. Also, it was found in this study that large numbers of decomposition levels via the wavelet transform had noticeable negative effects on the performance of the wavelet-based models, especially for the wavelet-adaptive network-based fuzzy inference system and wavelet-MLR, but in contrast, the type of db wavelet function did not have a detectable effect on the performance of the wavelet-based models. doi: 10.2166/wcc.2018.113 s://iwaponline.com/jwcc/article-pdf/doi/10.2166/wcc.2018.113/608394/jwc2018113.pdf Alireza Araghi (corresponding author) Department of Water Science and Engineering, Faculty of Agriculture, Ferdowsi University of Mashhad, Mashhad, Iran E-mail: araghi.a@mail.um.ac.ir; alireza_araghi@yahoo.com Jan Adamowski Department of Bioresource Engineering, Faculty of Agriculture and Environmental Sciences, McGill University, Sainte-Anne-de-Bellevue, Quebec, Canada Christopher J. Martinez Department of Agricultural and Biological Engineering, Institute of Food and Agricultural Sciences, University of Florida, Gainesville, FL, USA

[1]  Rabee Rustum,et al.  Neural computing modeling of the reference crop evapotranspiration , 2012, Environ. Model. Softw..

[2]  Jan Adamowski,et al.  Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semi-arid watersheds. , 2010 .

[3]  Özgür Kişi,et al.  Evapotranspiration modeling using a wavelet regression model , 2010, Irrigation Science.

[4]  Ana G. Elias,et al.  Discrete wavelet analysis to assess long-term trends in geomagnetic activity , 2006 .

[5]  Rob J Hyndman,et al.  Another look at measures of forecast accuracy , 2006 .

[6]  Paresh Chandra Deka,et al.  Performance evaluation of hybrid Wavelet-ANN and Wavelet-ANFIS models for estimating evapotranspiration in arid regions of India , 2015, Neural Computing and Applications.

[7]  Turgay Partal,et al.  Modelling evapotranspiration using discrete wavelet transform and neural networks , 2009 .

[8]  Jan Adamowski,et al.  Using wavelet transforms to estimate surface temperature trends and dominant periodicities in Iran based on gridded reanalysis data , 2015 .

[9]  Jan Adamowski,et al.  Forecasting soil temperature based on surface air temperature using a wavelet artificial neural network , 2017 .

[10]  O. Kisi,et al.  Wavelet and neuro-fuzzy conjunction model for precipitation forecasting , 2007 .

[11]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Yashar Falamarzi,et al.  Estimating evapotranspiration from temperature and wind speed data using artificial and wavelet neural networks (WNNs) , 2014 .

[13]  Ozgur Kisi,et al.  Comparison of heuristic and empirical approaches for estimating reference evapotranspiration from limited inputs in Iran , 2014 .

[14]  Ozgur Kisi,et al.  Estimating daily reference evapotranspiration using available and estimated climatic data by adaptive neuro-fuzzy inference system (ANFIS) and artificial neural network (ANN) , 2013 .

[15]  Richard G. Allen,et al.  Estimating Reference Evapotranspiration Under Inaccurate Data Conditions , 2002 .

[16]  Ahmed El-Shafie,et al.  Optimized Neural Network Prediction Model for Potential Evapotranspiration Utilizing Ensemble Procedure , 2014, Water Resources Management.

[17]  Roger L. King,et al.  Estimation of the Number of Decomposition Levels for a Wavelet-Based Multiresolution Multisensor Image Fusion , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[18]  J. Adamowski,et al.  Spatiotemporal variations of aridity in Iran using high‐resolution gridded data , 2018 .

[19]  Ozgur Kisi,et al.  Applications of hybrid wavelet–Artificial Intelligence models in hydrology: A review , 2014 .

[20]  K. P. Sudheer,et al.  Models for estimating evapotranspiration using artificial neural networks, and their physical interpretation , 2008 .

[21]  William W. Hsieh,et al.  Applying Neural Network Models to Prediction and Data Analysis in Meteorology and Oceanography. , 1998 .

[22]  O. Kisi The potential of different ANN techniques in evapotranspiration modelling , 2008 .

[23]  Yong Liu,et al.  Wavelet-Based Hydrological Time Series Forecasting , 2016 .

[24]  Shervin Motamedi,et al.  Soft computing approaches for forecasting reference evapotranspiration , 2015, Comput. Electron. Agric..

[25]  J. Adamowski,et al.  A wavelet neural network conjunction model for groundwater level forecasting , 2011 .

[26]  J. Adamowski,et al.  Association between three prominent climatic teleconnections and precipitation in Iran using wavelet coherence , 2017 .

[27]  Slavisa Trajkovic,et al.  Temperature-based approaches for estimating reference evapotranspiration , 2005 .

[28]  Yan-Fang Sang,et al.  A review on the applications of wavelet transform in hydrology time series analysis , 2013 .

[29]  Ozgur Kisi,et al.  Evapotranspiration modelling from climatic data using a neural computing technique , 2007 .

[30]  Milan Gocic,et al.  Software for estimating reference evapotranspiration using limited weather data , 2010 .

[31]  A. A. Alazba,et al.  Artificial neural networks versus gene expression programming for estimating reference evapotranspiration in arid climate , 2016 .

[32]  L. S. Pereira,et al.  Crop evapotranspiration : guidelines for computing crop water requirements , 1998 .

[33]  Vinit Sehgal,et al.  Wavelet Bootstrap Multiple Linear Regression Based Hybrid Modeling for Daily River Discharge Forecasting , 2014, Water Resources Management.

[34]  Özgür Kisi,et al.  Long-term monthly evapotranspiration modeling by several data-driven methods without climatic data , 2015, Comput. Electron. Agric..

[35]  Hung Soo Kim,et al.  Neural networks and genetic algorithm approach for nonlinear evaporation and evapotranspiration modeling , 2008 .

[36]  S. Mallat A wavelet tour of signal processing , 1998 .

[37]  Guojun Wang,et al.  Study on Optimal Selection of Wavelet Vanishing Moments for ECG Denoising , 2017, Scientific Reports.

[38]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[39]  S. Chatterjee,et al.  Regression Analysis by Example , 1979 .

[40]  Sungwon Kim,et al.  Daily water level forecasting using wavelet decomposition and artificial intelligence techniques , 2015 .

[41]  Shahaboddin Shamshirband,et al.  Comparative analysis of reference evapotranspiration equations modelling by extreme learning machine , 2016, Comput. Electron. Agric..

[42]  O. Kisi,et al.  Short-term and long-term streamflow forecasting using a wavelet and neuro-fuzzy conjunction model , 2010 .

[43]  Ka-Ming Lau,et al.  Climate Signal Detection Using Wavelet Transform: How to Make a Time Series Sing , 1995 .

[44]  Nadia Nedjah,et al.  Fuzzy Systems Engineering: Theory and Practice , 2005 .

[45]  Vinit Sehgal,et al.  Effect of Utilization of Discrete Wavelet Components on Flood Forecasting Performance of Wavelet Based ANFIS Models , 2014, Water Resources Management.

[46]  Rathinasamy Maheswaran,et al.  Comparative study of different wavelets for hydrologic forecasting , 2012, Comput. Geosci..

[47]  Gorka Landeras,et al.  Forecasting weekly evapotranspiration with ARIMA and artificial neural network models. , 2009 .

[48]  David Labat,et al.  Cross wavelet analyses of annual continental freshwater discharge and selected climate indices. , 2010 .

[49]  M. Jabloun,et al.  Evaluation of FAO-56 methodology for estimating reference evapotranspiration using limited climatic data Application to Tunisia , 2008 .

[50]  G. Weiss,et al.  A First Course on Wavelets , 1996 .

[51]  Yan-Fang Sang,et al.  Discussion on the Choice of Decomposition Level for Wavelet Based Hydrological Time Series Modeling , 2016 .

[52]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[53]  Luis S. Pereira,et al.  Validation of the FAO methodology for computing ETo with limited data. Application to south Bulgaria , 2006 .

[54]  Turgay Partal,et al.  Comparison of wavelet based hybrid models for daily evapotranspiration estimation using meteorological data , 2016 .

[55]  N. S. Raghuwanshi,et al.  Artificial neural networks approach in evapotranspiration modeling: a review , 2010, Irrigation Science.

[56]  J. Adamowski Development of a short-term river flood forecasting method for snowmelt driven floods based on wavelet and cross-wavelet analysis , 2008 .

[57]  E. H. Mamdani,et al.  An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller , 1999, Int. J. Man Mach. Stud..

[58]  C. Martinez,et al.  Estimating Reference Evapotranspiration with Minimum Data in Florida , 2010 .