Bayesian estimate of population count with false captures: a latent class approach

We propose a capture–recapture model for estimating the size of a population based on multiple lists in presence of out-of-scope units (false captures). Our Bayesian approach makes use of a class of log–linear models with a latent structure. We also address the presence of sources providing partial information implementing a Gibbs Sampler algorithm which generates a sample from the posterior distribution of the population size in the presence of missing data. The proposed method is applied to simulated data sets.