RRb
|
RRt
|
Model
|
Breeding site density
|
---|
0.25
|
0.75
|
---|
Population density
|
Population density
|
---|
0.2
|
0.8
|
0.2
|
0.8
|
---|
Bias
|
CR
|
SR
|
Bias
|
CR
|
SR
|
Bias
|
CR
|
SR
|
Bias
|
CR
|
SR
|
---|
1.05
|
0.95
|
Cox-PH
|
0.014
|
0.96
|
0.06
|
0.015
|
0.88
|
0.08
|
0.016
|
0.92
|
0.06
|
|< 0.001|
|
0.96
|
0.04
|
GAM
|
0.014
|
0.98
|
0.06
|
0.015
|
0.86
|
0.08
|
0.015
|
0.92
|
0.06
|
|< 0.001|
|
0.94
|
0.04
|
Cox-SPDE
|
0.012
|
0.98
|
0.08
|
0.016
|
0.86
|
0.08
|
0.014
|
0.94
|
0.06
|
-0.002
|
0.96
|
0.04
|
P-SPDE
|
0.013
|
0.98
|
0.08
|
0.016
|
0.86
|
0.1
|
0.014
|
0.94
|
0.06
|
-0.002
|
0.96
|
0.04
|
0.80
|
Cox-PH
|
-0.011
|
0.98
|
0.74
|
-0.005
|
0.98
|
0.92
|
-0.018
|
0.96
|
0.92
|
0.013
|
0.96
|
0.76
|
GAM
|
-0.012
|
0.98
|
0.74
|
-0.006
|
0.98
|
0.9
|
-0.018
|
0.96
|
0.92
|
0.014
|
0.96
|
0.74
|
Cox-SPDE
|
-0.017
|
0.94
|
0.74
|
-0.007
|
0.98
|
0.9
|
-0.026
|
0.94
|
0.92
|
0.011
|
0.96
|
0.76
|
P-SPDE
|
-0.012
|
0.96
|
0.76
|
-0.004
|
0.98
|
0.9
|
-0.018
|
0.96
|
0.9
|
0.016
|
0.96
|
0.76
|
0.60
|
Cox-PH
|
-0.003
|
0.84
|
1.00
|
-0.005
|
0.94
|
1.00
|
-0.015
|
0.94
|
1.00
|
-0.008
|
0.94
|
1.00
|
GAM
|
-0.004
|
0.88
|
1.00
|
-0.008
|
0.94
|
1.00
|
-0.015
|
0.96
|
1.00
|
-0.01
|
0.94
|
1.00
|
Cox-SPDE
|
-0.017
|
0.8
|
1.00
|
-0.011
|
0.94
|
1.00
|
-0.027
|
0.96
|
1.00
|
-0.015
|
0.94
|
1.00
|
P-SPDE
|
-0.007
|
0.88
|
1.00
|
-0.002
|
0.94
|
1.00
|
-0.011
|
0.98
|
1.00
|
-0.011
|
0.96
|
1.00
|
0.25
|
Cox-PH
|
0.009
|
0.98
|
1.00
|
-0.011
|
0.98
|
1.00
|
-0.018
|
0.96
|
1.00
|
0.012
|
0.9
|
1.00
|
GAM
|
0.005
|
0.96
|
1.00
|
-0.016
|
0.96
|
1.00
|
-0.02
|
0.96
|
1.00
|
0.007
|
0.92
|
1.00
|
Cox-SPDE
|
-0.039
|
0.9
|
1.00
|
-0.033
|
0.92
|
1.00
|
-0.055
|
0.9
|
1.00
|
-0.008
|
0.9
|
1.00
|
P-SPDE
|
0.008
|
0.94
|
1.00
|
-0.008
|
0.96
|
1.00
|
-0.01
|
0.96
|
1.00
|
0.016
|
0.96
|
1.00
|
3
|
0.95
|
Cox-PH
|
0.005
|
1.00
|
0.02
|
0.009
|
0.94
|
0.06
|
0.027
|
0.96
|
0.04
|
0.009
|
0.94
|
0.06
|
GAM
|
0.005
|
1.00
|
0.02
|
0.007
|
0.94
|
0.08
|
0.027
|
0.96
|
0.04
|
0.01
|
0.98
|
0.08
|
Cox-SPDE
|
|< 0.001|
|
1.00
|
0.02
|
-0.002
|
0.94
|
0.08
|
0.024
|
0.92
|
0.04
|
0.007
|
1.00
|
0.04
|
P-SPDE
|
-0.002
|
1.00
|
0.02
|
-0.002
|
0.94
|
0.08
|
0.023
|
0.9
|
0.04
|
0.006
|
1.00
|
0.04
|
0.80
|
Cox-PH
|
0.01
|
0.96
|
0.78
|
0.016
|
0.92
|
0.8
|
0.045
|
0.92
|
0.6
|
0.069
|
0.84
|
0.5
|
GAM
|
0.008
|
0.98
|
0.78
|
0.013
|
0.92
|
0.8
|
0.044
|
0.94
|
0.58
|
0.068
|
0.86
|
0.5
|
Cox-SPDE
|
-0.002
|
0.98
|
0.78
|
-0.003
|
0.96
|
0.82
|
0.004
|
1.00
|
0.64
|
0.025
|
0.98
|
0.48
|
P-SPDE
|
-0.011
|
0.98
|
0.8
|
-0.008
|
0.96
|
0.82
|
-0.008
|
1.00
|
0.64
|
0.023
|
1.00
|
0.5
|
0.60
|
Cox-PH
|
0.036
|
0.9
|
1.00
|
0.072
|
0.86
|
1.00
|
0.139
|
0.62
|
1.00
|
0.121
|
0.64
|
1.00
|
GAM
|
0.035
|
0.92
|
1.00
|
0.067
|
0.86
|
1.00
|
0.135
|
0.6
|
1.00
|
0.104
|
0.78
|
1.00
|
Cox-SPDE
|
0.006
|
0.96
|
1.00
|
0.032
|
0.94
|
1.00
|
0.053
|
0.92
|
1.00
|
|< 0.001|
|
0.96
|
1.00
|
P-SPDE
|
-0.012
|
0.96
|
1.00
|
0.027
|
0.92
|
1.00
|
0.025
|
0.92
|
1.00
|
-0.003
|
0.96
|
1.00
|
0.25
|
Cox-PH
|
0.125
|
0.78
|
1.00
|
0.136
|
0.58
|
1.00
|
0.32
|
0.02
|
1.00
|
0.33
|
0.06
|
1.00
|
GAM
|
0.121
|
0.78
|
1.00
|
0.123
|
0.68
|
1.00
|
0.309
|
0.02
|
1.00
|
0.293
|
0.1
|
1.00
|
Cox-SPDE
|
0.045
|
0.94
|
1.00
|
0.004
|
0.98
|
1.00
|
0.067
|
0.94
|
1.00
|
0.011
|
0.94
|
1.00
|
P-SPDE
|
-0.006
|
1.00
|
1.00
|
0.002
|
1.00
|
1.00
|
-0.021
|
0.98
|
1.00
|
-0.004
|
0.92
|
1.00
|
- CR Coverage Rate, SR Significance Rate, Cox-PH Cox Proportional Hazard model, GAM Generalized Additive Model, Cox-SPDE Cox-Stochastic Partial Differential Equation Model, P-SPDE Poisson-Stochastic Partial Differential Equation Model, RRt Treatment Relative Risk, RRb Breeding site Relative Risk. See Additional file 6 for MSE Mean Square Error