# Local Log-linear Models for Capture-Recapture

arXiv: https://arxiv.org/abs/1302.0890 · HTML: https://mlsanity.com/paper/1302.0890/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Feb 2013.

## Built on by (most cited first, 1 of 1)

- [Estimation of population size based on capture recapture designs and evaluation of the estimation reliability](https://mlsanity.com/paper/2105.05373/) (2021)

## Abstract (arXiv)

Log-linear models are often used to estimate the size of a closed population using capture-recapture data. When capture probabilities are related to auxiliary covariates, one may select a separate model based on each of several post-strata. We extend post-stratification to its logical extreme by selecting a local log-linear model for each observed unit, while smoothing to achieve stability. Our local models serve a dual purpose: In addition to estimating the size of the population, we estimate the rate of missingness as a function of covariates. A simulation demonstrates the superiority of our method when the generating model varies over the covariate space. Data from the Breeding Bird Survey is used to illustrate the method.