Premium
Cormack–Jolly–Seber model with environmental covariates: A P‐spline approach
Author(s) -
Stoklosa Jakub,
Huggins Richard M.
Publication year - 2012
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.201100215
Subject(s) - covariate , frequentist inference , estimator , statistics , bayesian probability , mathematics , spline (mechanical) , mark and recapture , parametric model , parametric statistics , econometrics , bayesian inference , population , demography , engineering , structural engineering , sociology
In capture–recapture models, survival and capture probabilities can be modelled as functions of time‐varying covariates, such as temperature or rainfall. The Cormack–Jolly–Seber (CJS) model allows for flexible modelling of these covariates; however, the functional relationship may not be linear. We extend the CJS model by semi‐parametrically modelling capture and survival probabilities using a frequentist approach via P‐splines techniques. We investigate the performance of the estimators by conducting simulation studies. We also apply and compare these models with known semi‐parametric Bayesian approaches on simulated and real data sets.