Parameter redundancy in mark-recovery models

Biometrical Journal

Volumn 54, Issue 4, 2012, Pages 507-523

  Cole, Diana J ^a   Morgan, Byron J T ^a   Catchpole, Edward A ^b   Hubbard, Ben A ^a  

^a UNIVERSITY OF KENT   (United Kingdom)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Ecology; Extrinsic identifiability; Intrinsic identifiability; Ring recovery; Tag recovery models

Indexed keywords

REDUNDANCY;

COVARIATES; EXTRINSIC IDENTIFIABILITY; IDENTIFIABILITY; INTRINSIC IDENTIFIABILITY; PARAMETER COMBINATION; PARAMETER REDUNDANCY; RECOVERY MODEL; RING-RECOVERY; TAG-RECOVERY MODEL;

RECOVERY;

EID: 84863556700     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201100210     Document Type: Article

References (27)

1. Baillie, S. R. and Green, R. E. (1987). The importance of variation in recovery rates when estimating survival rates from ringing recoveries. Acta Ornithologica 23, 41-60.
2. Brownie, C., Anderson, D. R., Burnham, K. P., and Robson, D. S. (1985). Statistical inference from band recovery data - handbook. Resource Publication No. 156. Washington, DC: United States Department of the Interior, Fish and Wildlife Service.
3. Box, G. E. P. and Jenkins, G. (1976). Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco, CA.
4. Catchpole, E. A. and Morgan, B. J. T. (1991). A note on Seber's model for ring-recovery data. Biometrika 78, 917-919.
5. Catchpole, E. A. and Morgan, B. J. T. (1996). Model selection in ring-recovery models using score tests. Biometrics 52, 664-672.
6. Catchpole, E. A. and Morgan, B. J. T. (1997). Detecting parameter redundancy. Biometrika 84, 187-196.
7. Catchpole, E. A., Freeman, S. N. and Morgan, B. J. T. (1996). Steps to parameter redundancy in age-dependent recovery models. Journal of the Royal Statistical Society Series B 58, 763-774.
8. Catchpole, E. A., Morgan, B. J. T. and Freeman, S. N. (1998). Estimation in parameter-redundant models. Biometrika 85, 462-468.
9. Catchpole, E. A., Morgan, B. J. T., Freeman, S. N. and Peach, W. J. (1999). Modelling the survival of British lapwings Vanellus vanellus using weather covariates. Bird Study 46 (Suppl.), 5-13.
10. Catchpole, E. A., Freeman, S. N., Morgan, B. J. T. and Nash, W. J. (2001). Abalone I: analysing mark-recapture-recovery data incorprating growth and delayed recovery. Biometrics 57, 469-477.
11. Catchpole, E. A., Morgan, B. J. T. and Viallefont, A. (2002). Solving problems in parameter redundancy using computer algebra. Journal of Applied Statistics 29, 625-636.
12. Chappell, M. J. and Gunn, R. N. (1998). A procedure for generating locally identifiable reparameterisations of unidentifiable non-linear systems by the similarity transformation approach. Mathematical Biosciences 148, 21-41.
13. Choquet, R. and Cole, D. J. (2010). A hybrid symbolic-numerical method for determining model structure. University of Kent Technical Report UKC/SMSAS/10/016. Available at
14. Cole, D. J. (2012). Determining parameter redundancy of multi-state mark-recapture models for sea birds. Journal of Ornithology 152 (Suppl. 2), 305-315.
15. Cole, D. J. and Morgan, B. J. T. (2010a). A note on determining parameter redundancy in age-dependent tag return models for estimating fishing mortality, natural mortality and selectivity. Journal of Agricultural, Biological, and Environmental Statistics 15, 431-434.
16. Cole, D. J. and Morgan, B. J. T. (2010b). Parameter redundancy with covariates. Biometrika 97, 1002-1005.
17. Cole, D. J., Morgan, B. J. T. and Titterington, D. M. (2010). Determining the parametric structure of models. Mathematical Biosciences 228, 16-30.
18. Evans, N. D. and Chappell, M. J. (2000). Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems. Mathematical Biosciences 168, 137-159.
19. Freeman, S. N. and Morgan, B. J. T. (1990). Studies in the analysis of ring-recovery data. The Ring 13, 217-287.
20. Freeman, S. N. and Morgan, B. J. T. (1992). A modelling strategy for recovery data from birds ringed as nestlings. Biometrics 48, 217-236.
21. Gimenez, O., Choquet, R. and Lebreton, J. D. (2003). Parameter redundancy in multistate capture-recapture models. Biometrical Journal 45, 704-722.
22. Gimenez, O., Morgan, B. J. T. and Brooks, S. P. (2009). Weak identifiability in models for mark-recapture-recovery data. In: Thomson, D. L., Cooch, E. G. and Conroy, M. J. (Eds.), Modelling Demographic Processes in Marked Populations: Series: Environmental and Ecological Statistics 3, 1057-1070.
23. Hoenig, J. M., Pollock, K. H. and Hearn, W. (2005). Tag-recovery models. In: Amstrup, S. C., McDonald, T. L. and Manly, B. F. J. (Eds.), Handbook of Capture-Recapture Analysis. New Jersey, USA: Princeton University Press, pp. 124-141.
24. McCrea, R. S., Morgan, B. J. T. and Cole, D. J. (2012). Age-dependent mixture models for recovery data on animals marked at unknown age. Journal of the Royal Statistical Society Series C, Applied Statistics. (to appear).
25. Morgan, B. J. T. and Freeman, S. N. (1989). A model with first-year variation for ring-recovery data. Biometrics 45, 1087-1102.
26. Robinson, R. A. (2010). Estimating age-specific survival rates from historical ringing data. Ibis 152, 651-653.
27. Seber, G. A. F. (1971). Estimating age-specific survival rates from bird-band returns when the reporting rate is constant. Biometrika 58, 491-497.