Estimating population size based on any pair of samples
the vector of capture histories or ascertainment records.
estimates based on any pair of samples
Refer to Seber (1982, pages 59 and 60) for the Petersen estimator and the Chapman estimator as well as s.e. formula.
A log-transformation is used to obtain the confidence interval so that the lower limit is always greater than the number of ascertained. Refer to Chao (1987, Biometrics,43, 783-791) for the construction of the confidence interval.
Chao, A. (1987). Estimating the population size for capture-recapture data with unequal catchability. Biometrics, 43: 783-791.
Chao, A., Tsay, P. K., Lin, S. H., Shau, W. Y., and Chao, D. Y. (2001). The applications of capture-recapture models to epidemiological data. Statistics in Medicine, 20: 3123-3157.
Seber, G. A. F. (1982). The estimation of animal abundance (2 ed.): Griffin, London.