Forecast accuracy for corn, soybeans, and wheat farm price using LSTM (using expanding training window)
| Corn | Soybeans | Wheat | |||||
|---|---|---|---|---|---|---|---|
| Horizon | Method | RMSE | MAPE(%) | RMSE | MAPE(%) | RMSE | MAPE(%) |
| h = 0 | |||||||
| LSTM | 0.986 | 16.766 | 1.972 | 14.244 | 1.277 | 18.28 | |
| (0.003) | (0.068) | (0.006) | (0.047) | (0.003) | (0.063) | ||
| CNN-LSTM | 1.472 | 28.238 | 2.293 | 18.344 | 1.457 | 21.326 | |
| (0.02) | (0.339) | (0.044) | (0.271) | (0.03) | (0.334) | ||
| ED-LSTM | 1.453 | 21.602 | 2.708 | 18.514 | 1.513 | 20.741 | |
| (0.005) | (0.106) | (0.01) | (0.084) | (0.005) | (0.095) | ||
| h = 1 | |||||||
| LSTM | 0.609 | 10.407 | 1.235 | 9.835 | 0.777 | 11.801 | |
| (0.003) | (0.062) | (0.006) | (0.06) | (0.004) | (0.064) | ||
| CNN-LSTM | 1.483 | 27.543 | 2.42 | 18.985 | 1.361 | 19.977 | |
| (0.019) | (0.382) | (0.044) | (0.302) | (0.032) | (0.372) | ||
| ED-LSTM | 1.365 | 21.094 | 2.45 | 16.944 | 1.218 | 17.251 | |
| (0.006) | (0.132) | (0.012) | (0.102) | (0.007) | (0.123) | ||
| h = 2 | |||||||
| LSTM | 0.575 | 10.027 | 0.952 | 7.822 | 0.602 | 9.131 | |
| (0.003) | (0.078) | (0.006) | (0.062) | (0.003) | (0.06) | ||
| CNN-LSTM | 1.251 | 23.466 | 2.061 | 16.422 | 1.222 | 18.121 | |
| (0.02) | (0.371) | (0.042) | (0.332) | (0.033) | (0.373) | ||
| ED-LSTM | 1.494 | 24.961 | 2.564 | 18.769 | 1.338 | 20.601 | |
| (0.007) | (0.152) | (0.013) | (0.118) | (0.007) | (0.127) | ||
| h = 3 | |||||||
| LSTM | 0.703 | 11.865 | 0.957 | 6.982 | 0.659 | 9.615 | |
| (0.003) | (0.074) | (0.007) | (0.055) | (0.004) | (0.059) | ||
| CNN-LSTM | 1.186 | 22.463 | 1.823 | 14.072 | 1.08 | 16.304 | |
| (0.02) | (0.333) | (0.047) | (0.335) | (0.034) | (0.401) | ||
| ED-LSTM | 1.586 | 26.881 | 2.748 | 20.372 | 1.534 | 23.545 | |
| (0.007) | (0.191) | (0.015) | (0.155) | (0.008) | (0.137) | ||
| h = 4 | |||||||
| LSTM | 1.315 | 25.846 | 2.257 | 15.853 | 1.479 | 22.097 | |
| (0.005) | (0.133) | (0.011) | (0.106) | (0.006) | (0.115) | ||
| CNN-LSTM | 1.433 | 28.119 | 2.414 | 18.307 | 1.372 | 20.285 | |
| (0.018) | (0.373) | (0.048) | (0.349) | (0.031) | (0.383) | ||
| ED-LSTM | 1.549 | 28.713 | 2.978 | 22.298 | 1.68 | 26.776 | |
| (0.008) | (0.2) | (0.016) | (0.157) | (0.01) | (0.169) | ||
| Corn | Soybeans | Wheat | |||||
|---|---|---|---|---|---|---|---|
| Horizon | Method | RMSE | MAPE(%) | RMSE | MAPE(%) | RMSE | MAPE(%) |
| LSTM | 0.986 | 16.766 | 1.972 | 14.244 | 1.277 | 18.28 | |
| (0.003) | (0.068) | (0.006) | (0.047) | (0.003) | (0.063) | ||
| CNN-LSTM | 1.472 | 28.238 | 2.293 | 18.344 | 1.457 | 21.326 | |
| (0.02) | (0.339) | (0.044) | (0.271) | (0.03) | (0.334) | ||
| ED-LSTM | 1.453 | 21.602 | 2.708 | 18.514 | 1.513 | 20.741 | |
| (0.005) | (0.106) | (0.01) | (0.084) | (0.005) | (0.095) | ||
| LSTM | 0.609 | 10.407 | 1.235 | 9.835 | 0.777 | 11.801 | |
| (0.003) | (0.062) | (0.006) | (0.06) | (0.004) | (0.064) | ||
| CNN-LSTM | 1.483 | 27.543 | 2.42 | 18.985 | 1.361 | 19.977 | |
| (0.019) | (0.382) | (0.044) | (0.302) | (0.032) | (0.372) | ||
| ED-LSTM | 1.365 | 21.094 | 2.45 | 16.944 | 1.218 | 17.251 | |
| (0.006) | (0.132) | (0.012) | (0.102) | (0.007) | (0.123) | ||
| LSTM | 0.575 | 10.027 | 0.952 | 7.822 | 0.602 | 9.131 | |
| (0.003) | (0.078) | (0.006) | (0.062) | (0.003) | (0.06) | ||
| CNN-LSTM | 1.251 | 23.466 | 2.061 | 16.422 | 1.222 | 18.121 | |
| (0.02) | (0.371) | (0.042) | (0.332) | (0.033) | (0.373) | ||
| ED-LSTM | 1.494 | 24.961 | 2.564 | 18.769 | 1.338 | 20.601 | |
| (0.007) | (0.152) | (0.013) | (0.118) | (0.007) | (0.127) | ||
| LSTM | 0.703 | 11.865 | 0.957 | 6.982 | 0.659 | 9.615 | |
| (0.003) | (0.074) | (0.007) | (0.055) | (0.004) | (0.059) | ||
| CNN-LSTM | 1.186 | 22.463 | 1.823 | 14.072 | 1.08 | 16.304 | |
| (0.02) | (0.333) | (0.047) | (0.335) | (0.034) | (0.401) | ||
| ED-LSTM | 1.586 | 26.881 | 2.748 | 20.372 | 1.534 | 23.545 | |
| (0.007) | (0.191) | (0.015) | (0.155) | (0.008) | (0.137) | ||
| LSTM | 1.315 | 25.846 | 2.257 | 15.853 | 1.479 | 22.097 | |
| (0.005) | (0.133) | (0.011) | (0.106) | (0.006) | (0.115) | ||
| CNN-LSTM | 1.433 | 28.119 | 2.414 | 18.307 | 1.372 | 20.285 | |
| (0.018) | (0.373) | (0.048) | (0.349) | (0.031) | (0.383) | ||
| ED-LSTM | 1.549 | 28.713 | 2.978 | 22.298 | 1.68 | 26.776 | |
| (0.008) | (0.2) | (0.016) | (0.157) | (0.01) | (0.169) | ||
Source(s): Created by the authors
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