Estimating population size via sample coverage

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Description

Population size estimation based on sample coverage approach for closed capture-recapture models.

Usage

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estN(z, method="Indep", se=FALSE, nboot=200)

Arguments

z

the vector of capture histories or ascertainment records.

method

the method employed to estimate population size. method="Indep": population size estimate for independent samples;
method="HSC": population size estimate for sufficiently high sample coverage cases;
method="LSC": one-step population size estimate for low sample coverage cases.

se

should calculus bootstrap standard error?

nboot

the number of bootstrap resampling times.

Value

population size estimator

Note

  • se estimated standard error of the population size estimation based on bootstrap replications, which might vary with trials.

  • cil confidence interval lower limit (using a log-transformation).

  • ciu 95% confidence interval upper limit (using a log-transformation).

  • Nhat-0(Indep) population size estimate for independent samples; see Equation (9) of Chao et al. (2001).

  • Nhat Population size estimate for sufficiently high sample coverage cases; see Equation (12) of Chao et al. (2001).

  • Nhat-1 One-step population size estimate for low sample coverage cases; see Equation (13) of Chao et al. (2001). This estimator is suggested for use when the estimated s.e. of Nhat is relatively large.

References

Chao, A., and Tsay, P. K. (1998). A sample coverage approach to multiple-system estimation with application to census undercount. Journal of the American Statistical Association, 93: 283-293.
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.

Examples

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data(HAV)
estN(HAV,method="LSC",se=TRUE,nboot=200)