Table 5. Statistical Error Analysis Comparison of the LSTM Model with the Previously Published Models.
| rank | model | AAPRE (%) | Emax (%) | Emin (%) | RMSE | SD | R |
|---|---|---|---|---|---|---|---|
| 1 | The proposed LSTM (2021) | 8.422 | 45.409 | 0.040 | 12.20 | 0.088 | 0.9900 |
| 2 | Velarde et al. (1997) | 9.00 | 62.47 | 0.039 | 13.04 | 0.095 | 0.9724 |
| 3 | Mehran et al. (2006) | 9.75 | 63.86 | 0.035 | 13.60 | 0.095 | 0.9699 |
| 4 | Lasater (1958) | 11.07 | 66.08 | 0.016 | 15.31 | 0.106 | 0.9742 |
| 5 | Standing (1947) | 12.35 | 69.28 | 0.032 | 16.26 | 0.106 | 0.9753 |
| 6 | Arabloo et al. (2014) | 12.66 | 72.98 | 0.000 | 17.12 | 0.116 | 0.9589 |
| 7 | Hemati and Kharrat (2007) | 13.76 | 85.01 | 0.026 | 22.13 | 0.174 | 0.9741 |
| 8 | Vazquez and Beggs (1980) | 16.88 | 74.79 | 0.493 | 21.65 | 0.136 | 0.9767 |
| 9 | Kartoatmodjo and Schmit (1991) | 16.94 | 78.37 | 0.085 | 22.74 | 0.152 | 0.9722 |
| 10 | Al-Shammasi (1999) | 17.33 | 62.95 | 0.205 | 22.60 | 0.145 | 0.9663 |
| 11 | Frashad et al. (1996) | 18.23 | 74.23 | 0.042 | 24.30 | 0.161 | 0.9621 |
| 12 | De Ghetto et al. (1994) | 18.37 | 73.97 | 0.007 | 24.83 | 0.167 | 0.9720 |
| 13 | Dindoruk and Christman (2001) | 20.89 | 77.83 | 0.432 | 25.81 | 0.152 | 0.9369 |
| 14 | Glaso (1980) | 23.02 | 79.52 | 0.281 | 27.70 | 0.154 | 0.9701 |
| 15 | Mazandarani and Asghari (2007) | 23.91 | 120.93 | 0.127 | 34.19 | 0.245 | 0.9462 |
| 16 | Almehaideb (1997) | 26.15 | 234.92 | 0.037 | 44.18 | 0.357 | 0.9482 |
| 17 | Macary and El-Batanoney (1993) | 31.20 | 149.75 | 0.111 | 42.62 | 0.291 | 0.9499 |
| 18 | Khamechi et al. (2009) | 31.24 | 97.52 | 0.059 | 37.27 | 0.204 | 0.9652 |
| 19 | Bolodazadeh et al. (2006) | 40.42 | 434.20 | 0.175 | 84.69 | 0.746 | 0.9694 |
| 20 | Sharrad and Abd-Alrahman (2019) | 45.93 | 72.46 | 0.346 | 47.96 | 0.139 | 0.8929 |
| 21 | Al-Marhoun (1988) | 54.06 | 79.22 | 27.176 | 54.40 | 0.148 | 0.9538 |
| 22 | Petrosky and Farshed (1993) | 76.59 | 784.59 | 0.295 | 159.87 | 1.406 | 0.9703 |