Appendix B. List with the assessment of intrinsic identifiability of different temporary emigration models.
A pdf-version of Appendix B is also available for viewing.
Intrinsic identifiability of the temporary emigration models, assessed with computer algebra (see Appendix A for MAPLE code used for the assessment). Table entries are the parameters that are separately identifiable, the number of estimated parameters when k capture occasions are considered. Model notations follow Lebreton et al. (1992). S: survival probability, : transition probability between observable and unobservable state (emigration), : transition probability between unobservable and observable state (immigration), p: on-site recapture probability. In the model notation, subscript t refers to time, g to group, and . to constancy. In the parameter notation, superscript g1 refers to group1, superscript g2 to group2, the subscript m refers to the last capture occasion and subscript 1 to the first capture occasion. Note: is never estimable, but this is not stated explicitly in this table.
Model
Identifiable parameters
Number of estimated quantities
1:
None
8k-20
2:
None
7k-18
3:
None, but pg1 and pg2
6k-10
4:
None, but p
6k-11
5:
None, but pg12 and pg22
6k-13
6:
None, but p2
5k-11
7:
None, but pg1 and pg2
4k-5
8:
None, but p
4k-6
9:
All, but Sg1m, Sg2m, pg1m, pg2m
4k-2
10:
All, but Sg1m, Sg2m, pm
3k
11:
All
2k+4
12:
All
2k+3
13:
All, but Sg1m, Sg2m, pg1m, pg2m
4k-4
14:
All, but Sg1m, Sg2m, pm
3k-2
15:
All
2k+2
16:
All
2k+1
17:
All, but Sm-1, Sm, , , , , , , , , , , p2, pm
7k-15
18:
All, but Sm, , , , , , , , , p1, pm
6k-11
19:
All, but Sm, , , ,
5k-6
20:
All, but Sm, , , ,
5k-7
21:
None, but pg12 and pg22
5k-11
22:
None
4k-10
23:
None, but pg1 and pg2
3k-4
24:
None, but p
3k-5
25:
All, but Sm, pg1m, pg1m
3k
26:
All, but Sm, pm
2k+1
27:
All
k+5
28:
All
k+4
29:
All, but Sm, pg1m, pg2m
3k-2
30:
All, but Sm, pm
2k-1
31:
All
k+3
32:
All
k+2
33:
All, but , , , , , , , , pg11, pg21, pg1m, pg2m
6k-10
34:
All, but , , , , , , , , p1, pm
5k-7
35:
All
4k-2
36:
All
4k-3
37:
All, but , , , , pg11, pg1m, pg21, pg2m
4k-5
38:
All, but , , , , p1, pm
3k-4
39:
All
2k+1
40:
All
2k
41:
All
2k+4
42:
All
k+5
43:
All
8
44:
All
7
45:
All
2k+2
46:
All
k+3
47:
All
6
48:
All
5
49:
All, but , , , , , , , , pg11, pg21, pg1m, pg2m
6k-11
50:
All but , , , , , , , , p1, pm
5k-8
51:
All
4k-3
52:
All
4k-4
53:
All, but , , , , pg11, pg1m, pg21, pg2m
4k-6
54:
All, but , , , , p1, pm
3k-5
55:
All
2k
56:
All
2k-1
57:
All
2k+3
58:
All
k+4
59:
All
7
60:
All
6
61:
All
2k+1
62:
All
k+2
63:
All
5
64:
All
4
Literature cited
Lebreton, J.-D., K. P. Burnham, J. Clobert, and D. R. Anderson. 1992. Modelling survival and testing biological hypotheses using marked animals: a unified approach with case studies. Ecological Monographs 62:67118.