Kalman filter initialization for integrated population modelling

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 61, Issue 1, 2012, Pages 151-162

  Besbeas, Panagiotis ^a,b   Morgan, Byron J T ^b  

^a ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS   (Greece)

^b UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Abundance data; Diffuse initialization; Exact initial Kalman filter; Grey heron; Joint likelihood; Mark; Recapture recovery data; Stable age distribution; State space model; Time series

Indexed keywords

EID: 84856018331     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2011.01012.x     Document Type: Article

References (22)

1. Besbeas, P., Borysiewicz, R. and Morgan, B. J. T. (2009) Completing the ecological jigsaw. In Modeling Demographic Processes in Marked Populations: Environmental and Ecological Statistics, vol. (eds D. L. Thomson, E. G. Cooch and M. J. Conroy), pp. 515-542. New York: Springer.
2. Besbeas, P., Freeman, S. N. and Morgan, B. J. T. (2005) The potential of integrated population modelling. Aust. New Zeal. J. Statist., 47, 35-48.
3. Besbeas, P., Freeman, S. N., Morgan, B. J. T. and Catchpole, E. A. (2002). Integrating mark-recapture-recovery and census data to estimate animal abundance and demographic parameters. Biometrics, 58, 540-547.
4. Besbeas, P., Lebreton, J.-D. and Morgan, B. J. T. (2003) The efficient integration of abundance and demographic data. Appl. Statist., 52, 95-102.
5. Besbeas, P. and Morgan, B. J. T. (2007). Technical Report UKC/IMS/06/025. University of Kent, Canterbury.
6. Brooks, S. P., King, R. and Morgan, B. J. T. (2004) A Bayesian approach to combining animal abundance and demographic data. Anim. Biodivrsty Conservn, 27, 515-529.
7. Burridge, P. and Wallis, K. F. (1985) Calculating the variance of seasonally adjusted series. J. Am. Statist. Ass., 80, 541-552.
8. Caswell, H. (2001) Matrix Population Models: Construction, Analysis, and Interpretation, 2nd edn. Sunderland: Sinauer.
9. Dennis B., Ponciano, J. M., Lele, S. R., Taper, M. L. and Staples, D. F. (2006) Estimating density dependence, process noise, and observation error. Ecol. Monogr., 76, 323-341.
10. Durbin, J. and Koopman, S. J. (2001) Time Series Analysis by State Space Methods. Oxford: Oxford University Press.
11. Freeman, S. N. and Morgan, B. J. T. (1992) A modelling strategy for recovery data from birds ringed as nestlings. Biometrics, 48, 217-236.
12. Gauthier, G., Besbeas, P., Lebreton, J.-D. and Morgan, B. J. T. (2007) Population growth in Greater Snow Geese: a modelling approach integrating demographic and population survey information. Ecology, 88, 1420-1429.
13. Gomez, V. and Maravall, A. (1993) Initializing the Kalman filter with incompletely specified initial conditions. In Approximate Kalman Filtering (ed. G. Chen), pp. 39-63. Singapore: World Scientific Publishing.
14. Harvey, A. C. (1989) Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge: Cambridge University Press.
15. Harvey, A. C. and Phillips, G. D. A. (1979) Maximum-likelihood estimation of regression models with autoregressive-moving average disturbances. Biometrika, 66, 49-58.
16. de Jong, P. (1988) The likelihood for a state space model. Biometrika, 75, 165-169.
17. de Jong, P. (1991) The diffuse Kalman filter. Ann. Statist., 19, 1073-1083.
18. Koopman, S. J. (2005) Exact initial Kalman filtering and smoothing for non stationary time series models. In Readings in Unobserved Components Models (eds A. C. Harvey and T. Proietti), pp. 48-67. Oxford: Oxford University Press.
19. Koopman, S. J. and Durbin, J. (2003) Filtering and smoothing of state vector for diffuse state-space models. J. Time Ser. Anal., 24, 85-98.
20. Rao, C. R. (2001) A note on Kalman filter. Proc. Natn. Acad. Sci. USA, 98, 10557-10559.
21. Schaub, M., Gimenez, O., Sierro, A. and Arlettaz, R. (2007) Use of integrated modeling to enhance estimates of population dynamics obtained from limited data. Conservn Biol., 21, 945-955.
22. Tavecchia, G., Besbeas, P., Coulson, T., Clutton-Brock, T. H. and Morgan, B. J. T. (2009) Estimating population size and hidden demographic parameters with state-space modelling. Am. Naturlst, 173, 722-733.