Ecological Archives E085-061-A2

Michael Schaub, Olivier Gimenez, Benedikt R. Schmidt, and Roger Pradel. 2004. Estimating survival and temporary emigration in the multistate capture–recapture framework. Ecology 85:2107–2113.

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 62:67–118.



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