Table 1: Performance evaluation criteria.

Evaluation criteriaEquation

Coefficient of correlation (R) 𝑅 = 𝑛 𝑖 = 1 ( 𝑦 𝑜 𝑖 𝑦 𝑜 ) ( 𝑦 𝑐 𝑖 𝑦 𝑐 ) 𝑛 𝑖 = 1 ( 𝑦 𝑜 𝑖 𝑦 𝑜 ) 2 𝑛 𝑖 = 1 ( 𝑦 𝑐 𝑖 𝑦 𝑐 ) 2
Coefficient of efficiency (E) 𝐸 = 1 𝑛 𝑖 = 1 ( 𝑦 𝑜 𝑖 𝑦 𝑐 𝑖 ) 2 𝑛 𝑖 = 1 ( 𝑦 𝑜 𝑖 𝑦 𝑜 ) 2
Root-mean-square error (RMSE) R M S E = 𝑛 𝑖 = 1 ( 𝑦 𝑜 𝑖 𝑦 𝑐 𝑖 ) 2 𝑛
Mean bias error (MBE) 1 M B E = 𝑛 𝑛 𝑖 = 1 ( 𝑦 𝑐 𝑖 𝑦 𝑜 𝑖 )
Percentage relative error (RE) R E = ( 𝑦 𝑜 𝑦 𝑐 ) 𝑦 𝑜 1 0 0
Percentage mean absolute relative error (MARE) 1 M A R E = 𝑛 𝑛 𝑖 = 1 | R E |