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Petersen

Use of the Petersen Capture-Recapture estimates in fisheriesmanagement.

Versions and installation

• CRAN Download thePetersenpackage

• Github To install the latest development versionfrom Github, install the newest version of thedevtoolspackage; then run

devtools::install_github("cschwarz-stat-sfu-ca/Petersen", dependencies = TRUE,                        build_vignettes = TRUE)

Features

Extensive user manual available at:

https://github.com/cschwarz-stat-sfu-ca/Petersen/tree/master/PetersenMonograph

The Petersen-method is the simplest of more general capture-recapturemethods which are extensively reviewed in Williams et al. (2002).Despite the Petersen method’s simplicity, many of the properties of theestimator, and the effects of violations of assumptions are similar tothese more complex capture-recapture studies. Consequently, a firmunderstanding of the basic principles learned from studying this methodare extremely useful to develop an intuitive understanding of the largerclass of studies.

The purpose of this R package is to bring together a wide body ofolder and newer literature on the design and analysis of the “simple”two-sample capture-recapture study. This monograph builds upon thecomprehensive summaries found in Ricker (1975), Seber (1982), andWilliam et AL (2002), and incorporates newer works that have not yetsummarized. While the primary emphasis is on the application tofisheries management, the methods are directly applicable to many otherstudies.

The core of the package is the use of conditional likelihoodestimation that allows for covariates which are not observed on animalsnot handled.

The packages includes functions for the analysis of

• simple studies with no covariates or strata
• simple stratified-Petersen studies or fixed continuouscovariates
• incompletely stratified studies where only a sub-sample isstratified to save costs
• geographically stratified studies (wrapper toSPAS)
• temporally-stratified studies (wrapper toBTSPAS)
• double tagging studies including reward tagging studies
• multiple-Petersen studies (callRMark/MARK and usemark-resight methods therein)
• forward and reverse-Petersen studies and their combination

References

Petersen, C. G. J. (1896). The Yearly Immigration of Young Plaiceinto the Limfjord from the German Sea, Etc. Report Danish BiologicalStation 6, 1–48.

Seber, G. A. F. (1982). The Estimation of Animal Abundance andRelated Parameters. 2nd ed. London: Griffin.

Williams, B. K., J. D. Nichols, and M. J. Conroy. (2002). Analysisand Management of Animal Populations. New York: Academic Press.