Table 7.

Out-of-Sample Predictive Accuracy of the Models: Average Values with 95% Confidence Intervals in Parentheses

BiasMNLMNLHMNPMNPHSMNPSMNPH
6 sites0.35850.32270.49130.45400.35500.3564
(0.3663, 0.3503)(0.3309, 0.3143)(0.5044, 0.4774)(0.4678, 0.4395)(0.3638, 0.3463)(0.3656, 0.3484)
12 sites0.36360.38540.60160.57910.38300.3742
(0.3750, 0.3521)(0.3981, 0.3723)(0.6108, 0.5937)(0.5883, 0.5682)(0.3941, 0.3709)(0.3885, 0.3620)
24 sites0.49600.41560.66460.60580.60980.5877
(0.5042, 0.4863)(0.4254, 0.4055)(0.6706, 0.6582)(0.6152, 0.5997)(0.6173, 0.6032)(0.5974, 0.5793)
Mean Squared Error
6 sites0.19750.16720.28630.26180.20080.2042
(0.2017, 0.1930)(0.1708, 0.1635)(0.2982, 0.2742)(0.2715, 0.2509)(0.2045, 0.1976)(0.2089, 0.2006)
12 sites0.20930.22940.39050.36730.22870.2147
(0.2162, 0.2028)(0.2390, 0.2202)(0.4000, 0.3825)(0.3764, 0.3581)(0.2351, 0.2224)(0.2222, 0.2072)
24 sites0.31160.25710.46940.39660.42210.3855
(0.3173, 0.3046)(0.2640, 0.2504)(0.4764, 0.4615)(0.4077, 0.3914)(0.4285, 0.4163)(0.3937, 0.3783)
Predictive Accuracy
6 sites0.68300.84620.66500.65630.74960.7461
(0.7395, 0.6569)(0.8515, 0.8389)(0.7155, 0.6485)(0.6590, 0.6496)(0.7521, 0.7479)(0.7510, 0.7270)
12 sites0.86030.77800.85660.85580.85790.8610
(0.8619, 0.8546)(0.8023, 0.7479)(0.8609, 0.8441)(0.8598, 0.8567)(0.8598, 0.8567)(0.8630, 0.8598)
24 sites0.74480.80690.72630.79850.70410.7877
(0.7479, 0.7427)(0.8117, 0.7950)(0.7395, 0.7176)(0.8180, 0.7657)(0.7207, 0.6705)(0.8096, 0.7657)
  • Note: The model results with the lowest bias, mean squared error, and predictive accuracy are highlighted in bold. The naïve expectations for the bias are 0.833, 0.917, 0.958 for the 6-site, 12-site, and 24-site models, respectively. The naïve expectations for the mean squared error are 0.694, 0.840, and 0.918 for the 6-site, 12- site, and 24-site models, respectively. Model names are defined in Table 2.