# Lincoln-Petersen estimator for caribou abundance

### Description

The function `petersen`

estimates the total population size based on the Lincoln-Petersen Index
as applied to radio telemetry data by White and Garrott (1990). It uses the Lincoln-Petersen estimator
with Chapman's (1951) bias correction and the bias corrected standard error estimator of
Seber (1970) and Wittes (1972).

### Usage

1 2 3 4 |

### Arguments

`mat` |
A matrix containing in the first column the number of radio-collared animals in the detected (photographed) groups and in the second column the corresponding size of the detected groups. |

`M` |
A numeric: the total number of active collars during the census
(equivalent to the argument |

`S` |
A numeric: the minimum size that define well aggregated groups. Only observations
from well aggregated groups (containing at least |

`x` |
An object, produced by the |

`...` |
Further arguments to be passed to methods (see |

### Value

`G ` |
The number of well aggregated groups. |

`R ` |
The total number of radio-collared animal observed in the well aggregated groups. |

`C ` |
The total number of animals observed in the well aggregated groups containing at least one radio-collared animal during the survey. |

`T.hat ` |
The modified lincoln-Petersen estimator for the total number of animals in a herd. |

`se_T.hat ` |
The estimated standard error of |

`mat_aggre ` |
A matrix containing a subset of the input matrix |

`call ` |
The function call (object of class "call"). |

### Author(s)

Helene Crepeau Helene.Crepeau@mat.ulaval.ca and

Louis-Paul Rivest Louis-Paul.Rivest@mat.ulaval.ca and

Serge Couturier tuttu@videotron.ca and

Sophie Baillargeon Sophie.Baillargeon@mat.ulaval.ca

### References

Chapman, D. G. (1951). Some properties of the hypergeometric distribution with applications to
zoological sample censuses. *University of California Publications in Statistics*,
**1**(7), 131-160.

Seber, G.A.F. (1970). The effects of trap response on tag recapture estimates. *Biometrics*,
**26**, 13-22.

White, G.C. and Garrott, R.A. (1990). *Analysis of wildlife radio-tracking data*. San Diego:
Academic Press.

Wittes, J.T. (1972). On the bias and estimated variance of Chapman's two-sample capture-recapture
population estimate. *Biometrics*, **28**, 592-597.

### See Also

`abundance`

### Examples

1 2 3 |