5. References.
Brownie C., Anderson D.R., Burnham K.P. and Robson D.S. (1985). Statistical inference from band recovery data: a handbook. United States Fish and Wildlife Service Resource Publication Number 156.
Cooch E.G. and White G.C. (2007). Program MARK: A gentle introduction. http://www.phidot.org/software/mark/docs/book/.
Hoenig J. M., Barrowman N.J., Hearn W. S. and Pollock K. H. (1998). Multiyear tagging studies incorporating fishing effort data. Canadian Journal of Fisheries and Aquatic Sciences 55, 1466-1476.
Hoenig J. M., Barrowman N. J., Pollock K. H., Brooks E. N., Hearn W. S. and Polachek T. (1998b). Models for tagging data that allow for incomplete mixing of newly tagged animals. Canadian Journal of Fisheries and Aquatic Sciences 55, 1477-1483.
Nichols J. D., Stokes S. L., Hines J. E. and Conroy M. J. (1982). Additional comments on the analysis of homogeneous survival rates in modern bird banding estimation models. Journal of Wildlife Management 46, 953-962.
Pollock K. H. and Raveling D. G. (1982). Assumptions of modern band-recovery models with emphasis on heterogeneous survival rates. Journal of Wildlife Management 46, 88-98.
Lebreton J.-D., Burnham K. P., Clobert J. and Anderson D. R. (1992). Modelling survival and testing biological hypotheses using marked animals. A unified approach with case studies.. Ecological Monographs 62, 67-118.
White G. C. and Burnham K. P. (1999). Program MARK: Survival estimation from populations of marked animals. Bird Study 46 (suppl), s120-s139.
White, G.C. (1992). PC SURVIV Users Manual. Dept. of Fishery and Wildlife Biology, Colorado State University, Fort Collins, CO. Available from: http://www.mbr-pwrc.usgs.gov/software.html.
Figure 1. Fates of animals in the Brownie model.
The parameter S is the probability that the fish survives the year; K is the probability that the fish is harvested; c is the probability that the tag is retrieved from the fish; and is the probability that the tag is read properly and reported to the tagging agency.
Figure 2. A simplified fate diagram for the Brownie et al (1985) model.
The parameter S is the probability that the fish survives the year;
Figure 3. Standardized residual plot from Hoenig et al. (1998) model M(*) F(t) assuming that
-
Table 1. Raw data from the Brownie et al (1985) model arranged in tabular format.
|
|
Recovery Years
|
Year
|
Number Tagged
|
1
|
2
|
3
|
1
|
|
|
|
|
2
|
|
|
|
|
3
|
|
|
|
|
-
Table 2. Expected number of recoveries in the Brownie et al. (1985) model arranged in tabular format.
|
|
Recovery Years
|
Year
|
Number Tagged
|
1
|
2
|
3
|
1
|
|
|
|
|
2
|
|
|
|
|
3
|
|
|
|
|
Table 3. Expected number of recoveries in the Hoenig et al (1998) model when fishing is continuous over the year. This is a reparameterization ot Table 2 assuming that and are constant over time.
|
|
Recovery Years
|
Year
|
Number Tagged
|
1
|
2
|
3
|
1
|
|
|
|
|
2
|
|
|
|
|
3
|
|
|
|
|
Table 4. Number of halibut released by month and year.
Only those fish with a known release date are reported
|
Year of
Release
|
Month of release
|
Total
Releases
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
1995
|
.
|
.
|
62
|
122
|
136
|
150
|
73
|
53
|
13
|
35
|
.
|
.
|
644
|
1996
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
5
|
8
|
1
|
20
|
34
|
1997
|
.
|
5
|
24
|
10
|
32
|
62
|
46
|
.
|
21
|
.
|
.
|
.
|
200
|
1998
|
.
|
.
|
225
|
105
|
145
|
260
|
131
|
6
|
6
|
4
|
2
|
.
|
884
|
1999
|
.
|
90
|
59
|
69
|
111
|
207
|
279
|
68
|
4
|
4
|
.
|
.
|
891
|
2000
|
.
|
.
|
.
|
5
|
55
|
198
|
61
|
30
|
.
|
.
|
.
|
.
|
349
|
2001
|
.
|
.
|
.
|
122
|
58
|
302
|
290
|
21
|
.
|
2
|
.
|
.
|
795
|
2002
|
.
|
.
|
.
|
.
|
.
|
6
|
42
|
.
|
.
|
.
|
.
|
.
|
48
|
2003
|
.
|
.
|
.
|
.
|
.
|
5
|
4
|
17
|
.
|
.
|
.
|
.
|
26
|
2004
|
.
|
.
|
.
|
.
|
.
|
85
|
221
|
37
|
21
|
.
|
.
|
.
|
364
|
2005
|
15
|
35
|
8
|
.
|
.
|
237
|
49
|
3
|
3
|
.
|
.
|
.
|
350
|
2006
|
31
|
22
|
1
|
.
|
42
|
691
|
602
|
86
|
.
|
.
|
.
|
.
|
1475
|
2007
|
.
|
.
|
.
|
.
|
326
|
.
|
596
|
.
|
.
|
.
|
.
|
.
|
922
|
All
|
46
|
152
|
379
|
433
|
905
|
2203
|
2394
|
321
|
73
|
53
|
3
|
20
|
6982
|
Table 5. Number of halibut recovered by year and month of recovery. Only those fish with known recovery times are displayed.
|
Year
|
Month of recaptures
|
All
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
1995
|
.
|
.
|
.
|
.
|
1
|
1
|
1
|
2
|
3
|
1
|
1
|
.
|
10
|
1996
|
1
|
.
|
.
|
11
|
2
|
.
|
8
|
7
|
1
|
1
|
1
|
1
|
33
|
1997
|
.
|
2
|
1
|
.
|
4
|
4
|
5
|
1
|
2
|
.
|
3
|
2
|
24
|
1998
|
.
|
8
|
3
|
2
|
8
|
10
|
6
|
2
|
2
|
4
|
1
|
1
|
47
|
1999
|
1
|
2
|
3
|
11
|
11
|
18
|
9
|
6
|
4
|
.
|
1
|
.
|
66
|
2000
|
3
|
15
|
18
|
.
|
4
|
16
|
15
|
8
|
2
|
.
|
4
|
1
|
86
|
2001
|
14
|
15
|
7
|
3
|
3
|
4
|
9
|
6
|
7
|
9
|
4
|
1
|
82
|
2002
|
16
|
15
|
7
|
8
|
3
|
8
|
13
|
6
|
4
|
4
|
1
|
1
|
86
|
2003
|
7
|
5
|
8
|
6
|
9
|
7
|
15
|
6
|
6
|
3
|
.
|
.
|
72
|
2004
|
10
|
6
|
7
|
.
|
.
|
2
|
8
|
3
|
5
|
3
|
.
|
4
|
48
|
2005
|
6
|
4
|
4
|
3
|
.
|
1
|
5
|
1
|
3
|
.
|
.
|
1
|
28
|
2006
|
2
|
3
|
2
|
1
|
.
|
5
|
7
|
8
|
12
|
7
|
5
|
.
|
52
|
2007
|
5
|
13
|
15
|
2
|
4
|
7
|
11
|
.
|
.
|
.
|
.
|
.
|
57
|
All
|
65
|
88
|
75
|
47
|
49
|
83
|
112
|
56
|
51
|
32
|
21
|
12
|
691
|
Table 6. Summary statistics for the halibut program for the Hoenig et al (1998) model. Only those fish with known dates of release and recovery are used. The data may not be consistent with Tables 4 and 5 because of problems in the database, e.g. a recovered fish may not have a legible tag number; the tag number of a released fish may not be known. The “recovery year” extends from 1 May of the year to 30 April of the next year (inclusive).
|
Release
Year
|
Recovery year
|
Releases
|
1995
|
1996
|
1997
|
1998
|
1999
|
2000
|
2001
|
2002
|
2003
|
2004
|
2005
|
2006
|
2007
|
Never
recovered
|
1995
|
648
|
22
|
24
|
29
|
21
|
20
|
9
|
7
|
1
|
3
|
.
|
.
|
1
|
.
|
511
|
1996
|
34
|
.
|
.
|
.
|
.
|
2
|
.
|
.
|
2
|
.
|
.
|
1
|
1
|
.
|
28
|
1997
|
200
|
.
|
.
|
4
|
3
|
7
|
6
|
3
|
2
|
.
|
1
|
.
|
.
|
.
|
174
|
1998
|
887
|
.
|
.
|
.
|
24
|
36
|
35
|
15
|
10
|
7
|
2
|
4
|
3
|
1
|
750
|
1999
|
892
|
.
|
.
|
.
|
.
|
12
|
23
|
27
|
11
|
12
|
9
|
3
|
2
|
.
|
793
|
2000
|
349
|
.
|
.
|
.
|
.
|
.
|
1
|
9
|
9
|
8
|
2
|
.
|
.
|
.
|
320
|
2001
|
799
|
.
|
.
|
.
|
.
|
.
|
.
|
11
|
19
|
22
|
12
|
3
|
5
|
5
|
722
|
2002
|
48
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
48
|
2003
|
26
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
1
|
.
|
.
|
.
|
25
|
2004
|
364
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
5
|
2
|
5
|
1
|
351
|
2005
|
350
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
1
|
2
|
.
|
347
|
2006
|
1475
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
51
|
10
|
1414
|
2007
|
922
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
.
|
922
|
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