Table 5. Performance measures for diameter and cross-section area by model type.

Target Performance measure Mixed-effects Mixed-effects with CAR(1) Fixed-effects
Diameter BIAS −0.0081 (26.4)a −0.0405b (−268.2) −0.0110
MAB 0.4818 (42.9) 0.7428 (11.9) 0.8434
RMSE 0.6262 (43.1) 0.9557 (13.2) 1.1013
FI 0.9959 (0.9) 0.9905 (0.3) 0.9874
Cross-section area BIAS 0.3081 (67.7) 0.3892 (59.1) 0.9526b
MAB 12.9252 (44.7) 20.8221 (10.9) 23.3781
RMSE 19.8885 (45.8) 32.3607 (11.8) 36.6726
FI 0.9959 (1.0) 0.9892 (0.3) 0.9861
The number in the parenthesis represents the percentage by which the corresponding model improves the fixed-effects one.
Biased determined by t-test at α = 0.05.