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).
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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 |
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"). |
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
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.
abundance
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