Abstract
Among several complex hydrological process elements, Evapotranspiration (ET) is the most complex one. Estimation of ET is very challenging compared to other hydrological variables as it depends on complex interactions of several hydrometeorological variables. In the current research, the estimation of daily ET from maximum and minimum temperature was established. For this purpose, Dynamic Evolving Neural-Fuzzy Inference System (DENFIS) and Multivariate Adaptive Regression Spline (MARS) were hybridized with two advanced metaheuristic optimization algorithms [i.e., Whale Optimization Algorithm (WOA) and Bat Algorithm (BA)]. Daily ET and temperature data estimated at 3 locations in the coastal region of southwest Bangladesh for the period 2005–2016 were used to develop and validate the models. The results showed a good performance of DENFIS-WOA model with minimum values of normalized root mean square error (NRMSE = 0.35–0.54) in estimating ET using only temperature in the complex climatic setup of southwest Bangladesh. DENFIS-BA also showed reasonable performance (NRMSE = 0.43–0.62), while the performance of MARS–WOA (NRMSE = 0.54–0.97) and MARS-BA (0.60–1.13) was found satisfactory in terms of most of the statistical indices. Obtained results were also evaluated using innovative visual presentations of model outputs, which revealed the better capability of only DENFIS-WOA in estimating mean, variability and distribution of ET for all the months and locations. The results indicate the potential of DENFIS-WOA to be used for reliable estimation of daily ET from the temperature in a tropical humid coastal region.
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Abbreviations
- AI:
-
Artificial intelligence
- ANFIS:
-
Adaptive neural fuzzy inference systems
- ANN:
-
Artificial neural network
- BWDB:
-
Bangladesh Water Development Board
- BA:
-
Bat algorithm
- DENFIS:
-
Dynamic evolving neural-fuzzy inference system
- ET:
-
Evapotranspiration
- ELM:
-
Extreme learning machine
- MARS:
-
Multivariate adaptive regression splines
- MLR:
-
Multiple linear regression
- ML:
-
Machine learning
- NF:
-
Neuro-fuzzy
- RF:
-
Random forest
- PDF:
-
Probability distribution function
- PM:
-
Penman–Monteith
- SVM:
-
Support vector machine
- SWB:
-
Southwest Bangladesh
- WOA:
-
Whale optimization algorithm
References
Adnan RM, Chen Z, Yuan X et al (2020a) Reference evapotranspiration modeling using new heuristic methods. Entropy 22:547
Adnan RM, Liang Z, Parmar KS et al (2020b) Modeling monthly streamflow in mountainous basin by MARS, GMDH-NN and DENFIS using hydroclimatic data. Neural Comput Appl. https://doi.org/10.1007/s00521-020-05164-3
Ahmed K, Shahid S, Wang X et al (2019) Spatiotemporal changes in aridity of Pakistan during 1901–2016. Hydrol Earth Syst Sci 23:3081–3096. https://doi.org/10.5194/hess-23-3081-2019
Ahmed K, Shahid S, Chung E-S et al (2020) Divergence of potential evapotranspiration trends over Pakistan during 1967–2016. Theor Appl Climatol 141:215–227. https://doi.org/10.1007/s00704-020-03195-3
Ali Ghorbani M, Kazempour R, Chau K-W et al (2018) Forecasting pan evaporation with an integrated artificial neural network quantum-behaved particle swarm optimization model: a case study in Talesh, Northern Iran. Eng Appl Comput Fluid Mech 12:724–737. https://doi.org/10.1080/19942060.2018.1517052
Bui DT, Hoang N-D, Nguyen H, Tran X-L (2019) Spatial prediction of shallow landslide using Bat algorithm optimized machine learning approach: A case study in Lang Son Province, Vietnam. Adv Eng Inform 42:100978
Chai T, Draxler RR (2014) Root mean square error (RMSE) or mean absolute error (MAE)?—Arguments against avoiding RMSE in the literature. Geosci Model Dev 7:1247–1250. https://doi.org/10.5194/gmd-7-1247-2014
Chattopadhyay N, Hulme M (1997) Evaporation and potential evapotranspiration in India under conditions of recent and future climate change. Agricultural and Forest Meteorology 87(1):55–73
Chen Z, Zhu Z, Jiang H, Sun S (2020) Estimating daily reference evapotranspiration based on limited meteorological data using deep learning and classical machine learning methods. J Hydrol 591:125286. https://doi.org/10.1016/j.jhydrol.2020.125286
Chia MY, Huang YF, Koo CH (2020) Support vector machine enhanced empirical reference evapotranspiration estimation with limited meteorological parameters. Comput Electron Agric. https://doi.org/10.1016/j.compag.2020.105577
Chia MY, Huang YF, Koo CH (2021) Swarm-based optimization as stochastic training strategy for estimation of reference evapotranspiration using extreme learning machine. Agric Water Manag 243:106447. https://doi.org/10.1016/j.agwat.2020.106447
Dey D, Ridwanul Haque ATM, Kabir B, Ubaid SF (2016) Fecal indicator and Ascaris removal from double pit latrine content. J Water Health 14:972–979
Diop L, Samadianfard S, Bodian A et al (2020) Annual rainfall forecasting using hybrid artificial intelligence model: integration of multilayer perceptron with whale optimization algorithm. Water Resour Manag. https://doi.org/10.1007/s11269-019-02473-8
dos Santos Farias DB, Althoff D, Rodrigues LN, Filgueiras R (2020) Performance evaluation of numerical and machine learning methods in estimating reference evapotranspiration in a Brazilian agricultural frontier. Theoret Appl Climatol. https://doi.org/10.1007/s00704-020-03380-4
Ehteram M, Singh VP, Ferdowsi A et al (2019) An improved model based on the support vector machine and cuckoo algorithm for simulating reference evapotranspiration. PLoS ONE 14:e0217499. https://doi.org/10.1371/journal.pone.0217499
Ehteram M, Salih SQ, Yaseen ZM (2020) Efficiency evaluation of reverse osmosis desalination plant using hybridized multilayer perceptron with particle swarm optimization. Environ Sci Pollut Res. https://doi.org/10.1007/s11356-020-08023-9
Elbeltagi A, Deng J, Wang K et al (2020) Modeling long-term dynamics of crop evapotranspiration using deep learning in a semi-arid environment. Agric Water Manag 241:106334. https://doi.org/10.1016/j.agwat.2020.106334
Eray O, Mert C, Kisi O (2017) Comparison of multi-gene genetic programming and dynamic evolving neural-fuzzy inference system in modeling pan evaporation. Hydrol Res. https://doi.org/10.2166/nh.2017.076
Feng Y, Peng Y, Cui N et al (2017) Modeling reference evapotranspiration using extreme learning machine and generalized regression neural network only with temperature data. Comput Electron Agric 136:71–78. https://doi.org/10.1016/j.compag.2017.01.027
Ferreira LB, da Cunha FF, de Oliveira RA, Fernandes Filho EI (2019) Estimation of reference evapotranspiration in Brazil with limited meteorological data using ANN and SVM—a new approach. J Hydrol 572:556–570. https://doi.org/10.1016/j.jhydrol.2019.03.028
Gu X (2020) Multi-Layer Ensemble Evolving Fuzzy Inference System. IEEE Transactions on Fuzzy Systems
Guo D, Westra S, Maier HR (2017) Impact of evapotranspiration process representation on runoff projections from conceptual rainfall-runoff models. Water Resour Res. https://doi.org/10.1002/2016WR019627
Han Y, Wu J, Zhai B, Pan Y, Huang G, Wu L, Zeng W (2019) Coupling a bat algorithm with xgboost to estimate reference evapotranspiration in the arid and semiarid regions of china. Advances in Meteorology, 2019
Heddam S, Dechemi N (2015) A new approach based on the dynamic evolving neural-fuzzy inference system (DENFIS) for modelling coagulant dosage (Dos): case study of water treatment plant of Algeria. Desalin Water Treat. https://doi.org/10.1080/19443994.2013.878669
Hossein Kazemi M, Shiri J, Marti P, Majnooni-Heris A (2020) Assessing temporal data partitioning scenarios for estimating reference evapotranspiration with machine learning techniques in arid regions. J Hydrol 590:125252. https://doi.org/10.1016/j.jhydrol.2020.125252
Huang G, Wu L, Ma X et al (2019) Evaluation of CatBoost method for prediction of reference evapotranspiration in humid regions. J Hydrol. https://doi.org/10.1016/j.jhydrol.2019.04.085
Huo Z, Dai X, Feng S et al (2013) Effect of climate change on reference evapotranspiration and aridity index in arid region of China. J Hydrol. https://doi.org/10.1016/j.jhydrol.2013.04.011
Jahani A, Saffariha M (2021) Modeling of trees failure under windstorm in harvested Hyrcanian forests using machine learning techniques. Sci Rep 11:1–13
Friedman JH (1991) Multivariable adaptive regression splines. Ann Stat 19:1–141
Jing W, Yaseen ZM, Shahid S et al (2019) Implementation of evolutionary computing models for reference evapotranspiration modeling: short review, assessment and possible future research directions. Eng Appl Comput Fluid Mech 13:811–823. https://doi.org/10.1080/19942060.2019.1645045
Khosravinia P, Nikpour MR, Kisi O, Yaseen ZM (2020) Application of novel data mining algorithms in prediction of discharge and end depth in trapezoidal sections. Comput Electron Agric 170:105283
Kisi O, Alizamir M (2018) Modelling reference evapotranspiration using a new wavelet conjunction heuristic method: Wavelet extreme learning machine vs wavelet neural networks. Agric for Meteorol 263:41–48
Kisi O, Khosravinia P, Nikpour MR, Sanikhani H (2019) Hydrodynamics of river-channel confluence: toward modeling separation zone using GEP, MARS, M5 Tree and DENFIS techniques. Stoch Env Res Risk Assess. https://doi.org/10.1007/s00477-019-01684-0
Kumar M, Raghuwanshi N (2002) Estimating evapotranspiration using artificial neural network. J Irrig 128:454–457
Legates DR, McCabe GJ Jr (1999) Evaluating the use of “goodness-of-fit” measures in hydrologic and hydroclimatic model validation. Water Resour Res 35:233–241
Malik A, Kumar A, Kim S et al (2020) Modeling monthly pan evaporation process over the Indian central Himalayas: application of multiple learning artificial intelligence model. Eng Appl Comput Fluid Mech 14:323–338
Maroufpoor S, Bozorg-Haddad O, Maroufpoor E (2020) Reference evapotranspiration estimating based on optimal input combination and hybrid artificial intelligent model: hybridization of artificial neural network with grey wolf optimizer algorithm. J Hydrol 588:125060
Melkonyan A (2015) Climate change impact on water resources and crop production in Armenia. Agric Water Manag. https://doi.org/10.1016/j.agwat.2015.07.004
Milly PCD, Dunne KA (2016) Potential evapotranspiration and continental drying. Nat Clim Change. https://doi.org/10.1038/nclimate3046
Mirjalili S, Lewis A (2016) The Whale Optimization Algorithm. Adv Eng Softw 95:51–67. https://doi.org/10.1016/j.advengsoft.2016.01.008
Mohammadi B, Mehdizadeh S (2020) Modeling daily reference evapotranspiration via a novel approach based on support vector regression coupled with whale optimization algorithm. Agric Water Manag 237:106145
Mohsenipour M, Shahid S, Ziarh GF, Yaseen ZM (2020) Changes in monsoon rainfall distribution of Bangladesh using quantile regression model. Theor Appl Climatol 142:1–14
Mondal MS, Jalal MR, Khan MSA, Kumar U, Rahman R, Huq H (2013) Hydro-meteorological trends in southwest coastal Bangladesh: Perspectives of climate change and human interventions. Ame J Climate Change 2:62–70
Muhammad M, Nashwan M, Shahid S et al (2019) Evaluation of empirical reference evapotranspiration models using compromise programming: a case study of Peninsular Malaysia. Sustainability 11:4267. https://doi.org/10.3390/su11164267
Naganna S, Deka P, Ghorbani M et al (2019) Dew point temperature estimation: application of artificial intelligence model integrated with nature-inspired optimization algorithms. Water. https://doi.org/10.3390/w11040742
Niu PF, Wu ZL, Ma YP et al (2017) Prediction of steam turbine heat consumption rate based on whale optimization algorithm. CIESC J 68:1049–1057
Niu T, Wang J, Zhang K, Du P (2018) Multi-step-ahead wind speed forecasting based on optimal feature selection and a modified bat algorithm with the cognition strategy. Renew Energy 118:213–229
Kisi O, Heddam S, Yaseen ZM (2019) The implementation of univariable scheme-based air temperature for solar radiation prediction: new development of dynamic evolving neural-fuzzy inference system model. Appl Energy 241:184–195
Pethick J, Orford JD (2013) Rapid rise in effective sea-level in southwest Bangladesh: its causes and contemporary rates. Global Planet Change 111:237–245
Petković B, Petković D, Kuzman B et al (2020) Neuro-fuzzy estimation of reference crop evapotranspiration by neuro fuzzy logic based on weather conditions. Comput Electron Agric 173:105358
Ponraj AS, Vigneswaran T (2019) Daily evapotranspiration prediction using gradient boost regression model for irrigation planning. J Supercomput 76:5732–5744. https://doi.org/10.1007/s11227-019-02965-9
Pour SH, Shahid S, Chung E-S, Wang X-J (2018) Model output statistics downscaling using support vector machine for the projection of spatial and temporal changes in rainfall of Bangladesh. Atmos Res 213:149–162. https://doi.org/10.1016/j.atmosres.2018.06.006
Pour SH, Wahab AKA, Shahid S (2020a) Spatiotemporal changes in aridity and the shift of drylands in Iran. Atmos Res. https://doi.org/10.1016/j.atmosres.2019.104704
Pour SH, Wahab AKA, Shahid S, Bin IZ (2020b) Changes in reference evapotranspiration and its driving factors in peninsular Malaysia. Atmos Res 246:105096. https://doi.org/10.1016/j.atmosres.2020.105096
Qutbudin I, Shiru MS, Sharafati A et al (2019) Seasonal drought pattern changes due to climate variability: case study in Afghanistan. Water 11:1096. https://doi.org/10.3390/w11051096
Roy DK, Barzegar R, Quilty J, Adamowski J (2020) Using ensembles of adaptive neuro-fuzzy inference system and optimization algorithms to predict reference evapotranspiration in subtropical climatic zones. J Hydrol 591:125509. https://doi.org/10.1016/j.jhydrol.2020.125509
Saffariha M, Jahani A, Potter D (2020) Seed germination prediction of Salvia limbata under ecological stresses in protected areas: an artificial intelligence modeling approach. BMC Ecol 20:1–14
Salam R, Islam ARMT (2020) Potential of RT, bagging and RS ensemble learning algorithms for reference evapotranspiration prediction using climatic data-limited humid region in Bangladesh. J Hydrol 590:125241. https://doi.org/10.1016/j.jhydrol.2020.125241
Salem Nashwan M, Shahid S, Wang X (2019) Uncertainty in estimated trends using gridded rainfall data: A case study of bangladesh. Water 11:349
Sanikhani H, Kisi O, Maroufpoor E, Yaseen ZM (2018) Temperature-based modeling of reference evapotranspiration using several artificial intelligence models: application of different modeling scenarios. Theoret Appl Climatol. https://doi.org/10.1007/s00704-018-2390-z
Shahid S, Wang X-J, Bin HS et al (2016) Climate variability and changes in the major cities of Bangladesh: observations, possible impacts and adaptation. Reg Environ Change 16:459–471
Shahid S, Pour SH, Wang X et al (2017) Impacts and adaptation to climate change in Malaysian real estate. Int J Climate Change Strat Manag. https://doi.org/10.1108/IJCCSM-01-2016-0001
Shan X, Cui N, Cai H et al (2020) Estimation of summer maize evapotranspiration using MARS model in the semi-arid region of northwest China. Comput Electron Agric 174:105495. https://doi.org/10.1016/j.compag.2020.105495
Song Q, Kasabov N (2002) Dynamic evolving neuro-fuzzy inference system (DENFIS): on-line learning and application for time-series prediction. Proc Sixth Int Conf Soft Comput 10:696–702
Tao H, Diop L, Bodian A, Djaman K, Ndiaye PM, Yaseen ZM (2018) Reference evapotranspiration prediction using hybridized fuzzy model with firefly algorithm: Regional case study in Burkina Faso. Agri Water Manag 208:140–151
Tikhamarine Y, Malik A, Pandey K et al (2020) Monthly evapotranspiration estimation using optimal climatic parameters: efficacy of hybrid support vector regression integrated with whale optimization algorithm. Environ Monit Assess 192:1–19
Tiyasha, Tung TM, Yaseen ZM (2020) A survey on river water quality modelling using artificial intelligence models: 2000–2020. J Hydrol 585:124670
Tukimat NNA, Harun S, Shahid S (2012) Comparison of different methods in estimating potential evapotranspiration at Muda Irrigation Scheme of Malaysia. J Agri Rural Dev Tropics Subtropics (JARTS) 113(1):77–85
Wang YQ (2019) An open source software suite for multi-dimensional meteorological data computation and visualisation. J Open Res Soft 7(1)
Wang Y, Wang P, Zhang J et al (2019) A novel bat algorithm with multiple strategies coupling for numerical optimization. Mathematics 7:135
Wang L, Wu C, Gu X et al (2020) Probabilistic stability analysis of earth dam slope under transient seepage using multivariate adaptive regression splines. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-020-01730-0
Wu L, Zhou H, Ma X et al (2019) Daily reference evapotranspiration prediction based on hybridized extreme learning machine model with bio-inspired optimization algorithms: application in contrasting climates of China. J Hydrol. https://doi.org/10.1016/j.jhydrol.2019.123960
Yang XS (2010) A new metaheuristic bat-inspired algorithm. In: Nature inspired cooperative strategies for optimization (NICSO 2010). Springer, Berlin, Heidelberg, pp 65–74
Yang Y, Sun H, Xue J et al (2021) Estimating evapotranspiration by coupling Bayesian model averaging methods with machine learning algorithms. Environ Monit Assess 193:1–15
Yaseen ZM, Ehteram M, Sharafati A et al (2018a) The integration of nature-inspired algorithms with least square support vector regression models: application to modeling river dissolved oxygen concentration. Water 10:1124. https://doi.org/10.3390/w10091124
Yaseen ZM, Sulaiman SO, Deo RC, Chau K-W (2018b) An enhanced extreme learning machine model for river flow forecasting: state-of-the-art, practical applications in water resource engineering area and future research direction. J Hydrol 569:387–408. https://doi.org/10.1016/j.jhydrol.2018.11.069
Yaseen ZM, Al-Juboori AM, Beyaztas U et al (2019a) Prediction of evaporation in arid and semi-arid regions: a comparative study using different machine learning models. Eng Appl Comput Fluid Mech 14:70–89
Yaseen ZM, Ehteram M, Hossain MS et al (2019b) A novel hybrid evolutionary data-intelligence algorithm for irrigation and power production management: Application to multi-purpose reservoir systems. Sustainability (switzerland). https://doi.org/10.3390/su11071953
Yaseen ZM, Naghshara S, Salih SQ et al (2020) Lake water level modeling using newly developed hybrid data intelligence model. Theoret Appl Climatol. https://doi.org/10.1007/s00704-020-03263-8
Yousif AA, Sulaiman SO, Diop L et al (2019) Open channel sluice gate scouring parameters prediction: different scenarios of dimensional and non-dimensional input parameters. Water (switzerland). https://doi.org/10.3390/w11020353
Yu H, Wen X, Li B et al (2020) Uncertainty analysis of artificial intelligence modeling daily reference evapotranspiration in the northwest end of China. Comput Electron Agric 176:105653. https://doi.org/10.1016/j.compag.2020.105653
Zhu B, Feng Y, Gong D et al (2020) Hybrid particle swarm optimization with extreme learning machine for daily reference evapotranspiration prediction from limited climatic data. Comput Electron Agric 173:105430
Acknowledgements
The authors acknowledge the excellent and valuable constructive comments reported by the respected reviewers and editors for improving the manuscript visualization. The authors acknowledge the support received by the Science and Technology Plan Project of Shaanxi Province NO.2020GY-041 in addition to the Doctoral Research Initiation Project NO. 209040080.
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LY: Conceptualization, methodology, writing up. MMAZ: Formal analysis, validation\evaluation and writing up. NKAB: Investigation, discussion, visualization, writing up. ZMY: Supervision, revision, editing, discussion and writing up.
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Ye, L., Zahra, M.M.A., Al-Bedyry, N.K. et al. Daily scale evapotranspiration prediction over the coastal region of southwest Bangladesh: new development of artificial intelligence model. Stoch Environ Res Risk Assess 36, 451–471 (2022). https://doi.org/10.1007/s00477-021-02055-4
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DOI: https://doi.org/10.1007/s00477-021-02055-4