ABSTRACT
Capture-recapture models have a long history in starting with the Lincoln-Petersen model, which provided the first method for estimating the unknown population size. The continued relevance of capture-recapture methodologies has led to a host of recent advances, including those focused on count distributions. While capture-recapture is the most direct way to attain detailed population information, these data can be expansive to collect and challenging to obtain. The target population is sampled over a certain number of capture occasions, and for each occasion, captured units are counted only once. In capture-recapture studies, the zero counts are truncated and, hence, the sample frequencies arise from a zero-truncated distribution. The authors provide a number of valuable insights into and extensions of the technique and use the approach within the context of Poisson-based distributions for modeling capture-recapture data. A diversity of estimators in the capture-recapture field exists, being widely applied in many areas of interest.
