'Each site has its own survival probability, but information is borrowed across sites to tell us about survival in each site': Random effects models as means of borrowing strength in survival studies of wild vertebrates

Animal Conservation

Volumn 15, Issue 2, 2012, Pages 129-132

  Cam, E ^a,b  

^a CENTRE D ECOLOGIE FONCTIONNELLE ET EVOLUTIVE   (France)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

VERTEBRATA;

EID: 84859268985     PISSN: 13679430     EISSN: 14691795     Source Type: Journal    
DOI: 10.1111/j.1469-1795.2012.00533.x     Document Type: Note

References (34)

1. Aalen, O.O., Borgan, Ø. & Gjessing, H.K. (2008). Unobserved heterogeneity: the odd effects of frailty. In Survival and event history analysis: a process point of view. Statistics for biology and health: 231-270. Aalen, O.O., Borgan, Ø. & Gjessing, H.K. (Eds). New York, NY: Springer Science+Business Media, LLC.
2. Aubry, L.M., Cam, E., Koons, D.N., Monnat, J.-Y. & Pavard, S. (2011). Drivers of age-specific survival in a long-lived seabird: contributions of observed and hidden sources of heterogeneity. J. Anim. Ecol. 80, 375-383.
3. Banerjee, S., Carlin, B.P. & Gelfand, A.A. (2003). Hierarchical modeling and analysis for spatial data. Boca Raton: Chapman & Hall/CRC Press.
4. Banerjee, S., Wall, M.M. & Carlin, B.P. (2003). Frailty modeling for spatially correlated survival data, with application to infant mortality in Minnesota. Biostatistics 4, 123-142.
5. Buoro, M., Gimenez, O. & Prévot, E. (2012). Assessing adaptive phenotypic plasticity by means of conditional strategies from empirical data: the latent environmental threshold model. Evolution. DOI: 10.1111/j.1558-5646.2011.01484.x. [Epub ahead of print].
6. Cai, B. & Dunson, D.B. (2006). Bayesian covariance selection in generalized linear models. Biometrics 62, 446-444.
7. Cam, E., Link, W.A., Cooch, E.G., Monnat, J.-Y. & Danchin, E. (2002). Individual covariation in life history traits: seeing the trees despite the forest. Am. Nat. 159, 96-105.
8. Caswell, H. (2001). Matrix population models: construction, analysis, and interpretation. Second edn. Sunderland: Sinauer.
9. Clark, J.S., Ferraz, G., Oguge, N., Hays, H. & DiCostanzo, J. (2005). Hierarchical Bayes for structured, variable populations: from recapture data to life-history predictions. Ecology 86, 2232-2244.
10. Gelfand, A.E. & Ghosh, S.K. (1998). Model choice: a minimum posterior predictive loss approach. Biometrika 85, 1-11.
11. Gelman, A. & Hill, J. (2007). Data analysis using regression and multilevel/hierarchical models. New York: Cambridge University Press.
12. Gelman, A., Meng, X.-L. & Stern, H.S. (1996). Posterior predictive assessment of model fitness via realized discrepancies. Stat. Sin. 6, 733-807.
13. Gimenez, O. & Choquet, R. (2010). Individual heterogeneity in studies on marked animals using numerical integration: capture-recapture mixed models. Ecology 91, 951-957.
14. Halstead, B.J., Wylie, G.D., Coates, P.S., Valcarcel, P. & Casazza, M.L. (2011). Bayesian shared frailty models for regional inference about wildlife survival. Animal Conservation 15, 117-124.
15. Hawkes, K. (2010). How grandmother effects plus individual variation in frailty shape fertility and mortality: guidance from human-chimpanzee comparisons. Proc. Natl. Acad. Sci. USA 107, 8977-8984.
16. Hosmer, D.W., Lemeshow, S. & May, S. (2011). Applied survival analysis. Regression modeling of time to event data. Wiley series in probability and statistics. Second edn. Hoboken: John Wiley & Sons, Inc.
17. Lahoz-Monfort, J.J., Morgan, B.J.T., Harris, M.P., Wanless, S. & Freeman, S.N. (2010). A capture-recapture model for exploring multi-species synchrony in survival. Methods Ecol. Evol. 2, 116-124.
18. Lawson, A.B. (2009). Bayesian disease mapping. Hierarchical modeling in spatial epidemiology. Boca Raton: CRC Press. Chapman & Hall.
19. Lunn, D., Spiegelhalter, D., Thomas, A. & Best, N. (2009). The BUGS project: evolution, critique and future directions (with discussion). Stat. Med. 28, 3049-3082.
20. Marzolin, G., Charmantier, A. & Gimenez, O. (2011). Frailty in state-space models: application to actuarial senescence in the dipper. Ecology 92, 562-567.
21. Nichols, J.D. & Hines, J.E. (2002). Approaches for the direct estimation of λ and demographic contribution of λ, using capture-recapture data. J. Appl. Stat. 29, 539-568.
22. Ogle, K., Uriarte, M., Thompson, J., Johnstone, J., Jones, A., Lin, Y., McIntire, E.J.B. & Zimmerman, J.K. (2006). Implications of vulnerability to hurricane damage for long-term survival of tropical tree species: a Bayesian hierarchical analysis. In Hierarchical modeling for the environmental sciences: 98-117. Clark, J.E. & Gelfand, A.E. (Eds). Oxford: Oxford University Press.
23. Papadatou, E., Ibáñez, C., Pradel, R., Juste, J. & Gimenez, O. (2011). Assessing survival in a multi-population system: a case study on bat populations. Oecologia 165, 925-933.
24. Papaïx, J., Cubaynes, S., Buoro, M., Charmantier, A., Perret, P. & Gimenez, O. (2010). Combining capture-recapture data and pedigree information to assess heritability of demographic parameters in the wild. J. Evol. Biol. 23, 2176-2184.
25. Plummer, M. (2008). Penalized loss functions for Bayesian model comparison. Biostatistics 9, 523-539.
26. R Development Core Team (2011). R: a language and environment for statistical computing. Available at: (accessed 29 February 2012).
27. Royle, J.A. (2008). Modeling individual effects in the Cormack-Jolly-Seber model: a state-space formulation. Biometrics 64, 364-370.
28. Sauer, J.R. & Link, W.A. (2002). Hierarchical modeling of population stability and species group attributes from survey data. Ecology 83, 1743-1751.
29. Spiegelhalter, D.J., Best, N.G., Carlin, B.P. & van der Linde, A. (2002). Bayesian measures of model complexity and fit. J. R. Stat. Soc. B 64, 583-639.
30. Vaupel, J.W., Manton, K.G. & Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16, 439-454.
31. Waller, L.A. & Gotaway, C.A. (2004). Applied spatial statistics for public health data. Wiley series in probability and statistics. Hoboken: John Wiley & Sons, Inc.
32. Williams, B.K., Nichols, J.D. & Conroy, M.J. (2002). Analysis and management of animal populations: modeling, estimation, and decision making. New York: Academic Press.
33. Wilson, A.J. & Nussey, D.H. (2010). What is individual quality? An evolutionary perspective. Trends Ecol. Evol. 25, 207-214.
34. Yashin, A.I., Iachine, I.A., Begun, A.Z. & Vaupel, J.W. (2001). Hidden frailty: myths and reality. University of Southern Denmark, Department of Statistics, 48 p. (Odense research report; 34). Available at: (accessed 29 February 2012).