This data release includes the data and computer code that we produced to fit two open-robust design removal models developed to simultaneously model population dynamics, temporary emigration, and imperfect detection: a random walk linear trend model (estimable without ancillary information), and a 2-age class integrated population model (IPM) that used prior information for age-structured vital rates and relative juvenile availability. To evaluate the effectiveness of management programs, we applied both models to a multi-year, removal trapping time-series data set of a large invasive lizard (Argentine black and white tegu, Salvator merianae) in three management areas of South Florida collected from 2016-1018. The data from these 3 sites as well as the code to run the models in program R are included.