Evaluation of FAO56-PM, empirical, semi-empirical and gene expression programming approaches for estimating daily reference evapotranspiration in hyper-arid regions of Iran

Accurate estimation of the reference evapotranspiration (ETo) is needed in water resources planning and management, irrigation scheduling and efficient agricultural water management. The FAO56-PM combination model is usually applied as a benchmark model for calculating ETo and calibrating other ETo models. However, the need for large amount of meteorological variables is a major drawback of this model, especially in case of data scarcity. Therefore, application of ETo models relying on fewer meteorological parameters, as well as calculating ETo using estimated meteorological variables is recommended in literature. The present paper aims at assessing the performances of different ETo models using the recorded and estimated meteorological parameters and comparing the results with the corresponding gene expression programming (GEP) models (based on the same input parameters of the employed ETo models) in hyper-arid regions. Daily meteorological parameters from 5 hyper-arid locations of Iran (covering a period of 12 years) were used. The commonly used Hargreaves (HG), Priestley-Taylor (PT), Turc (Tr) and Kimberly-Penman (KP, for alfalfa reference crop) were established and calibrated using both the recorded and estimated solar radiation, relative humidity, and wind speed data. The obtained results revealed that the GEP models outperform the corresponding empirical and semi-empirical models in all three studied categorizes (temperature/humidity-, radiation-, and combination-based approaches). The results also showed that the calibrated PT (original) and Tr (with estimated relative humidity) models gave the most accurate results among the related groups.

[1]  Nan Zhongren,et al.  GIS-assisted spatially distributed modeling of the potential evapotranspiration in semi-arid climate of the Chinese Loess Plateau , 2004 .

[2]  L. S. Pereira,et al.  Revised FAO Procedures for Calculating Evapotranspiration: Irrigation and Drainage Paper No. 56 with Testing in Idaho , 2001 .

[3]  Cândida Ferreira,et al.  Gene Expression Programming: Mathematical Modeling by an Artificial Intelligence , 2014, Studies in Computational Intelligence.

[4]  Jalal Shiri,et al.  Modeling reference evapotranspiration with calculated targets. Assessment and implications , 2015 .

[5]  George H. Hargreaves,et al.  Reference Crop Evapotranspiration from Temperature , 1985 .

[6]  O. Kisi,et al.  Daily reference evapotranspiration modeling by using genetic programming approach in the Basque Country (Northern Spain) , 2012 .

[7]  Cândida Ferreira,et al.  Gene Expression Programming: A New Adaptive Algorithm for Solving Problems , 2001, Complex Syst..

[8]  Z. Samani,et al.  Estimating Potential Evapotranspiration , 1982 .

[9]  Suat Irmak,et al.  Daily Grass and Alfalfa-Reference Evapotranspiration Estimates and Alfalfa-to-Grass Evapotranspiration Ratios in Florida , 2003 .

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

[11]  Ozgur Kisi,et al.  Generalizability of Gene Expression Programming-based approaches for estimating daily reference evapotranspiration in coastal stations of Iran , 2014 .

[12]  J. H. Ward Hierarchical Grouping to Optimize an Objective Function , 1963 .

[13]  P. Arabie,et al.  Cluster analysis in marketing research , 1994 .

[14]  Larry M. Deschaine,et al.  Decision support for complex planning challenges - Combining expert systems, engineering-oriented modeling, machine learning, information theory, and optimization technology , 2014 .

[15]  Ozgur Kisi,et al.  Evaluation of different data management scenarios for estimating daily reference evapotranspiration , 2013 .

[16]  Henk Ritzema,et al.  Analysis of water balances. , 1994 .

[17]  F. Anctil,et al.  Comparison of empirical daily surface incoming solar radiation models , 2008 .

[18]  P. Kerkides,et al.  Daily reference evapotranspiration estimates by the "Copais" approach , 2006 .

[19]  Ozgur Kisi,et al.  Modeling reference evapotranspiration using three different heuristic regression approaches , 2016 .

[20]  Vijay P. Singh,et al.  Evaluation of gene expression programming approaches for estimating daily evaporation through spatial and temporal data scanning , 2014 .

[21]  Alison L. Kay,et al.  Calculating potential evaporation from climate model data: A source of uncertainty for hydrological climate change impacts , 2008 .

[22]  Vijay P. Singh,et al.  Cross Comparison of Empirical Equations for Calculating Potential Evapotranspiration with Data from Switzerland , 2002 .

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

[24]  Yu Feng,et al.  Comparison of ELM, GANN, WNN and empirical models for estimating reference evapotranspiration in humid region of Southwest China , 2016 .

[25]  Kenneth C. Young,et al.  A Three-Way Model for Interpolating for Monthly Precipitation Values , 1992 .

[26]  Luis S. Pereira,et al.  Estimating reference evapotranspiration with the FAO Penman-Monteith equation using daily weather forecast messages , 2007 .

[27]  Gorka Landeras,et al.  Comparison of artificial neural network models and empirical and semi-empirical equations for daily reference evapotranspiration estimation in the Basque Country (Northern Spain) , 2008 .

[28]  Marvin E. Jensen,et al.  Peak Water Requirements of Crops in Southern Idaho , 1972 .

[29]  Slavisa Trajkovic,et al.  Comparative analysis of 31 reference evapotranspiration methods under humid conditions , 2011, Irrigation Science.

[30]  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 .

[31]  R. Allen,et al.  History and Evaluation of Hargreaves Evapotranspiration Equation , 2003 .

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

[33]  C. Priestley,et al.  On the Assessment of Surface Heat Flux and Evaporation Using Large-Scale Parameters , 1972 .

[34]  Guy Fipps,et al.  Deployment of artificial neural network for short-term forecasting of evapotranspiration using public weather forecast restricted messages , 2016 .

[35]  James L. Wright,et al.  Derivation of alfalfa and grass reference evapotranspiration , 1996 .

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

[37]  O. Kisi,et al.  Comparison of Gene Expression Programming with neuro-fuzzy and neural network computing techniques in estimating daily incoming solar radiation in the Basque Country (Northern Spain) , 2012 .

[38]  Marko Sarstedt,et al.  A Concise Guide to Market Research: The Process, Data, and Methods Using IBM SPSS Statistics , 2011 .

[39]  Hossein Tabari,et al.  Evaluation of Reference Crop Evapotranspiration Equations in Various Climates , 2010 .

[40]  Hafzullah Aksoy,et al.  Genetic Programming‐Based Empirical Model for Daily Reference Evapotranspiration Estimation , 2008 .

[41]  O. Kisi,et al.  Application of Artificial Intelligence to Estimate Daily Pan Evaporation Using Available and Estimated Climatic Data in the Khozestan Province (South Western Iran) , 2011 .

[42]  Brian Everitt,et al.  Cluster analysis , 1974 .

[43]  Aytac Guven,et al.  Daily pan evaporation modeling using linear genetic programming technique , 2011, Irrigation Science.

[44]  Cem Iyigun,et al.  Comparison of missing value imputation methods in time series: the case of Turkish meteorological data , 2013, Theoretical and Applied Climatology.

[45]  Hossein Tabari,et al.  Regional Estimation of Reference Evapotranspiration in Arid and Semiarid Regions , 2010 .

[46]  Giuseppe Mendicino,et al.  Regionalization of the Hargreaves Coefficient for the Assessment of Distributed Reference Evapotranspiration in Southern Italy , 2013 .

[47]  Hossein Tabari,et al.  Evaluation of Class A Pan Coefficient Models for Estimation of Reference Crop Evapotranspiration in Cold Semi-Arid and Warm Arid Climates , 2010 .

[48]  Ali Rahimikhoob,et al.  An Evaluation of Four Reference Evapotranspiration Models in a Subtropical Climate , 2012, Water Resources Management.

[49]  P. Pérez,et al.  Analysis of methods for estimating vapor pressure deficits and relative humidity , 1996 .

[50]  Lakshman Nandagiri,et al.  Performance Evaluation of Reference Evapotranspiration Equations across a Range of Indian Climates , 2006 .

[51]  Özgür Kisi,et al.  Independent testing for assessing the calibration of the Hargreaves-Samani equation: New heuristic alternatives for Iran , 2015, Comput. Electron. Agric..

[52]  Hossein Dehghanisanij,et al.  Assessment of evapotranspiration estimation models for use in semi-arid environments , 2004 .