The effects of high detection probabilities on model selection in paired release-recapture studies in the era of electronic tagging studies

Skalski, John R; Seaburg, Adam G; Buchanan, Rebecca A

doi:10.1186/2050-3385-1-12

Animal Biotelemetry

Table 1 Simulation results under homogeneity

From: The effects of high detection probabilities on model selection in paired release-recapture studies in the era of electronic tagging studies

a. ${\hat{\bar{S}}}_{0}$
P	Failure rate	Model
P	Failure rate	M _Full	M ₂	M ₃	M ₄	M ₅	M ₆	M ₇
0.10	0.512	0.9629	0.9645	0.9637	0.9578	0.9554	0.9429	0.9414
0.20	0.279	0.9525	0.9523	0.9527	0.9513	0.9509	0.9376	0.9359
0.30	0.082	0.9385	0.9387	0.9389	0.9388	0.9386	0.9330	0.9327
0.40	0.010	0.9323	0.9324	0.9324	0.9324	0.9323	0.9310	0.9308
0.50	0.0	0.9313	0.9313	0.9313	0.9313	0.9313	0.9313	0.9313
0.60	0.0	0.9301	0.9301	0.9301	0.9301	0.9301	0.9302	0.9302
0.70	0.0	0.9305	0.9305	0.9305	0.9305	0.9305	0.9306	0.9305
0.80	0.0	0.9303	0.9303	0.9303	0.9303	0.9303	0.9304	0.9304
0.90	0.0	0.9302	0.9302	0.9302	0.9302	0.9302	0.9302	0.9302
0.95	0.0	0.9302	0.9302	0.9302	0.9302	0.9302	0.9302	0.9302
0.98	0.0	0.9301	0.9301	0.9301	0.9301	0.9301	0.9301	0.9301
b. $\bar{\hat{SE} ({\hat{S}}_{0}\| S_{0})}$
P		Model
		M _Full	M ₂	M ₃	M ₄	M ₅	M ₆	M ₇
0.10		0.2055	0.1971	0.1930	0.1654	0.1568	0.1013	0.0905
0.20		0.0970	0.0963	0.0958	0.0903	0.0885	0.0602	0.0553
0.30		0.0575	0.0576	0.0575	0.0562	0.0558	0.0415	0.0391
0.40		0.0383	0.0382	0.0382	0.0381	0.0380	0.0308	0.0296
0.50		0.0273	0.0273	0.0273	0.0273	0.0273	0.0240	0.0234
0.60		0.0210	0.0210	0.0210	0.0210	0.0210	0.0197	0.0194
0.70		0.0176	0.0176	0.0176	0.0176	0.0176	0.0171	0.0170
0.80		0.0158	0.0158	0.0158	0.0158	0.0158	0.0156	0.0156
0.90		0.0148	0.0148	0.0148	0.0148	0.0148	0.0148	0.0147
0.95		0.0144	0.0144	0.0144	0.0144	0.0144	0.0144	0.0144
0.98		0.0143	0.0143	0.0143	0.0143	0.0143	0.0143	0.0142
_C. $s_{{\hat{S}}_{0}}$
P		Model
		M _Full	M ₂	M ₃	M ₄	M ₅	M ₆	M ₇
0.10		0.1402	0.1338	0.1326	0.1175	0.1149	0.0750	0.0664
0.20		0.0750	0.0743	0.0741	0.0730	0.0730	0.0450	0.0414
0.30		0.0544	0.0545	0.0547	0.0548	0.0550	0.0344	0.0317
0.40		0.0379	0.0380	0.0380	0.0384	0.0385	0.0263	0.0250
0.50		0.0270	0.0270	0.0270	0.0271	0.0271	0.0219	0.0212
0.60		0.0210	0.0210	0.0210	0.0210	0.0210	0.0185	0.0181
0.70		0.0179	0.0179	0.0179	0.0179	0.0179	0.0168	0.0166
0.80		0.0156	0.0156	0.0156	0.0156	0.0156	0.0154	0.0153
0.90		0.0153	0.0153	0.0153	0.0153	0.0153	0.0152	0.0151
0.95		0.0144	0.0144	0.0144	0.0144	0.0144	0.0144	0.0144
0.98		0.0139	0.0139	0.0139	0.0139	0.0139	0.0138	0.0139

Estimates of (a) paired survival (Ŝ ₀ = Ŝ ₁₁/Ŝ ₂₁), (b) average standard error from inverse Hessian (that is, $(that is, \bar{\hat{SE} ({\hat{S}}_{0}| S_{0})})$ ), and (c) empirical standard errors $(that is, S_{{\hat{S}}_{0}})$ from Monte Carlo simulations for eight different likelihood models under H_o for varying levels of capture probability (0.10 ≤ P ≤ 0.98). Paired release-recapture survival was simulated at S ₀ = 0.93. Failure rate for one or more models not converging reported in subtable (a).

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ISSN: 2050-3385

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