title: Cormack-Jolly-Seber model with environmental covariates: a P-spline approach.
abstract: 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.
authors.affiliation: School of Mathematics and Statistics, The University of New South Wales, New South Wales, 2052, Australia. j.stoklosa@unsw.edu.au
authors.forename: Jakub
authors.initials: J
authors.lastname: Stoklosa
authors.forename: Richard M
authors.initials: RM
authors.lastname: Huggins
mesh_terms: D000704:Analysis of Variance; D000818:Animals; D001499:Bayes Theorem; D004777:Environment; D015233:Models, Statistical; D011157:Population Dynamics; D011336:Probability; D046429:Spheniscidae