Abstract
This study reported the state of the art of different artificial intelligence (AI) methods for groundwater quality (GWQ) modeling and introduce a brief description of common AI approaches. In addtion a bibliographic review of practices over the past two decades, was presented and attained result were compared. More than 80 journal articles from 2001 to 2021 were review in terms of characteristics and capabilities of developing methods, considering data of input-output, etc. From the reviewed studies, it could be concluded that in spite of various weaknesses, if the artificial intelligence approaches were appropriately built, they can effectively be utilized for predicting the GWQ in various aquifers. Because many steps of applying AI methods are based on trial-and-error or experience procedures, it’s helpful to review them regarding the special application for GWQ modeling. Several partial and general findings were attained from the reviewed studies that could deliver relevant guidelines for scholars who intend to carry out related work. Many new ideas in the associated area of research are also introduced in this work to develop innovative approaches and to improve the quality of prediction water quality in groundwater for example, it has been found that the combined AI models with metaheuristic optimization are more reliable in capturing the nonlinearity of water quality parameters. However, in this review few papers were found that used these hybrid models in GWQ modeling. Therefore, for future works, it is recommended to use hybrid models to more furthere investigation and enhance the reliability and accuracy of predicting in GWQ.
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Abbreviations
- CO3:
-
Carbonate
- NO2:
-
Nitrite
- RBF:
-
Radial basis function
- MLP:
-
Multi-layer perceptron
- DL:
-
Deep learning
- RF:
-
Random forest
- XGBoost:
-
eXtreme gradient boosting
- R2 :
-
Determination coefficient
- RMSE:
-
Root mean squared error
- MARE:
-
Mean absolute relative error
- MLP:
-
Multilayer perceptron
- GEP:
-
Gene expression programming.
- SAR:
-
Sodium adsorption ratio
- MAPE:
-
Mean absolute percentage error
- SI:
-
Scatter index
- R:
-
Correlation coefficient
- MSE:
-
Mean square error
- MAE:
-
Mean absolute error
- FCM:
-
Fuzzy c-means
- GP:
-
Grid partition
- PSO:
-
Particle swarm optimization.
- NF:
-
Neuro-fuzzy
- SAR:
-
Sodium absorption ratio
- BNs:
-
Bayesian networks
- MTEs:
-
Mixtures of Truncated Exponentials
- XGB:
-
Extreme gradient boosting
- VAF:
-
Variance account for
- PAEE:
-
Percent Average Estimation Error
- PS:
-
Potential Salinity
- DENFIS:
-
Dynamic evolving neural-fuzzy inference system
- ESP:
-
Exchangeable Sodium Percentage
- SVR:
-
Support vector regression
- GMDH:
-
Group method of data handling
- T:
-
Temperature
- RSC:
-
Residual Sodium Carbonate
- RBIAS:
-
Relative Bias
- SOM:
-
Self-organized map
- ANEP:
-
Average Normalized Error for Parameter Estimates
- LWPR:
-
Locally weighted projection regression
- RVM:
-
Relevance vector machines
- BNN:
-
Bayesian neural network
- RE:
-
Reduction of error
- IA:
-
Index of agreement
- KSOFM:
-
Kohonen self-organizing features map
- FGQI:
-
Fuzzy-GIS-based groundwater quality index
- ASVR:
-
Active Set Support Vector Regression
- MAR:
-
Magnesium Adsorption Ratio
- PMRE:
-
percent mean relative error
- GQI:
-
Groundwater quality index
- MARS:
-
Multivariate adaptive regression spline
- M5 Tree:
-
M5 Tree model
- GA:
-
Genetic Algorithm
- GEP:
-
Gene expression programming.
- TOC:
-
Total organic carbon
- NSE:
-
Nash-Sutcliffe efficiency
- WHO:
-
World health organization
- LMI:
-
Legates and McCabe index
- SDR:
-
Standard deviation ratio
- WI:
-
Willmott index of agreement
- NE:
-
Normalized error
- MLR:
-
Multiple linear regression
- SEM:
-
Structural equation modeling
- GIS:
-
Geographic information system
- FCT:
-
Fuzzy Clustering Technique
- ACOR:
-
Ant colony optimization for continuous domains
- Mmce:
-
Mean misclassification error
- AARE:
-
Average absolute relative error
- GRNN:
-
generalized regression neural network
- ASE:
-
average squared error
- RSC:
-
Residual sodium carbonate
- PSVM:
-
Probabilistic Support Vector Machine
- MAR:
-
Magnesium adsorption ratio
- KR:
-
Kellys ratio
- BPNN:
-
Back-propagation neural network
- DE:
-
Differential evolution.
- GP:
-
Gaussian Process
- RT:
-
Random tree
- PBIAS:
-
Percent of bias.
- PSVMs:
-
Probabilistic support vector machines
- PNNs:
-
Probabilistic neural networks
- DO:
-
Dissolved oxygen
- TA:
-
Total alkalinity
- PBIAS:
-
Percent of bias.
- BOD:
-
Biological oxygen demand
- LSSVM:
-
Least square support vector machine
- COD:
-
Chemical oxygen demand
- SOM:
-
Self-organizing map
- FFNN:
-
Feed forward neural network
- FNN-SVR:
-
Fuzzy neural network-based support vector regression
- CE:
-
Coefficient of efficiency
- AIC:
-
Akaike information criterion
- KNN:
-
K-nearest neighbor
- WNN:
-
Wavelet neural network
- MFIS:
-
Mamdani Fuzzy Inference System
- As:
-
Arsenic
- ELM:
-
Extreme learning machine
- MLP:
-
Multi- layer perceptron
- MABE:
-
Mean absolute bias error
- PCR:
-
Principal component regression
- BR:
-
Bayesian regulation
- RR:
-
Recharge rate
- A:
-
Abstraction
- AVR:
-
Abstraction average rate
- LT:
-
Lifetime
- GWL:
-
Groundwater level
- AT:
-
Aquifer thickness
- DSWS:
-
Depth from the surface to well screen
- DSSL:
-
Distance from sea shoreline
- TR:
-
Total rainfall
- RH:
-
Relative humidity
- Tmin:
-
Minimum temperature
- GPR:
-
Boosted regression tree
- Tmax:
-
Maximum temperature
- Tavg:
-
Average temperature
- TPH:
-
Total Petroleum Hydrocarbon
- W:
-
Average wind speed
- NSGA-II:
-
Non-dominated sorting genetic algorithm-II
- Wmin:
-
Minimum wind speed
- MT3D:
-
Modular three-dimensional transport model
- Wmax:
-
Maximum wind speed
- ICC:
-
Initial chloride concentration
- GPR:
-
Gaussian process regression
- CGA:
-
Continuous genetic algorithm
- PSO:
-
Particle swarm optimization.
- DE:
-
Differential evolution.
- ROC:
-
Receiver operating characteristics
- AUC:
-
Area under the ROC curve statistic
- FWQI:
-
Fuzzy water quality index
- TPR:
-
True positive rate
- SC:
-
Specific conductance
- WQI:
-
Water quality index
- SDT:
-
Single decision tree
- DTF:
-
Decision tree forest
- DTB:
-
Decision treeboost
- RP:
-
Redox potential
- SSE:
-
Sum of squared errors
- SOM:
-
Self-organizing map
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Hanoon, M.S., Ahmed, A.N., Fai, C.M. et al. Application of Artificial Intelligence Models for modeling Water Quality in Groundwater: Comprehensive Review, Evaluation and Future Trends. Water Air Soil Pollut 232, 411 (2021). https://doi.org/10.1007/s11270-021-05311-z
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DOI: https://doi.org/10.1007/s11270-021-05311-z
Keywords
- Groundwater quality (GWQ)
- Artificial intelligence (AI)
- Machine learning (ML)
- ANN
- ANFIS