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Population size estimation based upon zero-truncated, one-inflated and sparse count data: Estimating the number of dice snakes in Graz and flare stars in the Pleiades

Population size estimation based upon zero-truncated, one-inflated and sparse count data: Estimating the number of dice snakes in Graz and flare stars in the Pleiades
Population size estimation based upon zero-truncated, one-inflated and sparse count data: Estimating the number of dice snakes in Graz and flare stars in the Pleiades

Estimating the size of a hard-to-count population is a challenging matter. In particular, when only few observations of the population to be estimated are available. The matter gets even more complex when one-inflation occurs. This situation is illustrated with the help of two examples: the size of a dice snake population in Graz (Austria) and the number of flare stars in the Pleiades. The paper discusses how one-inflation can be easily handled in likelihood approaches and also discusses how variances and confidence intervals can be obtained by means of a semi-parametric bootstrap. A Bayesian approach is mentioned as well and all approaches result in similar estimates of the hidden size of the population. Finally, a simulation study is provided which shows that the unconditional likelihood approach as well as the Bayesian approach using Jeffreys’ prior perform favorable.

Capture–recapture, One-inflation, Zero-truncation
1618-2510
1-21
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Friedl, Herwig
f593e723-f18e-444a-a91c-c666c7f877ed
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Friedl, Herwig
f593e723-f18e-444a-a91c-c666c7f877ed

Bohning, Dankmar and Friedl, Herwig (2021) Population size estimation based upon zero-truncated, one-inflated and sparse count data: Estimating the number of dice snakes in Graz and flare stars in the Pleiades. Statistical Methods & Applications, 30 (4), 1-21. (doi:10.1007/s10260-021-00556-8).

Record type: Article

Abstract

Estimating the size of a hard-to-count population is a challenging matter. In particular, when only few observations of the population to be estimated are available. The matter gets even more complex when one-inflation occurs. This situation is illustrated with the help of two examples: the size of a dice snake population in Graz (Austria) and the number of flare stars in the Pleiades. The paper discusses how one-inflation can be easily handled in likelihood approaches and also discusses how variances and confidence intervals can be obtained by means of a semi-parametric bootstrap. A Bayesian approach is mentioned as well and all approaches result in similar estimates of the hidden size of the population. Finally, a simulation study is provided which shows that the unconditional likelihood approach as well as the Bayesian approach using Jeffreys’ prior perform favorable.

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Accepted/In Press date: 3 January 2021
e-pub ahead of print date: 30 January 2021
Published date: 31 January 2021
Related URLs:
Keywords: Capture–recapture, One-inflation, Zero-truncation

Identifiers

Local EPrints ID: 446886
URI: http://eprints.soton.ac.uk/id/eprint/446886
ISSN: 1618-2510
PURE UUID: 6e57556b-19d0-4efb-9e49-70d1a7823416
ORCID for Dankmar Bohning: ORCID iD orcid.org/0000-0003-0638-7106

Catalogue record

Date deposited: 25 Feb 2021 17:31
Last modified: 26 Nov 2021 02:57

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Contributors

Author: Dankmar Bohning ORCID iD
Author: Herwig Friedl

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