### Abstract

In the corrected Leslie-DeLury catch-per-unit-effort method, estimation of the corrected cumulative catches causes the underlying model to be an errors-in-covariates structural model with a nondiagonal dispersion matrix. This violates the assumptions of regression and causes the corrected Leslie-DeLury method to give biased estimates of the population size and its variance. Generalized least squares and a controlled variables design were used to resolve these difficulties, obtain the minimum-variance unbiased linear estimator, and compute unbiased variance estimates. The method was applied to sockeye salmon fingerlings (Oncorhynchus nerka) netted in a hatchery pond. For these data, the corrected Leslie-DeLury method underestimates the standard error of the population size by 41%. -from Authors

Original language | English |
---|---|

Title of host publication | Canadian Journal of Fisheries and Aquatic Sciences |

Pages | 818-823 |

Number of pages | 6 |

Volume | 46 |

Edition | 5 |

State | Published - Dec 1 1989 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Environmental Science(all)
- Earth and Planetary Sciences(all)

### Cite this

*Canadian Journal of Fisheries and Aquatic Sciences*(5 ed., Vol. 46, pp. 818-823)

**A conditional generalized least squares method for estimating the size of a closed population.** / Crittenden, R. N.; Thomas, Gary.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Canadian Journal of Fisheries and Aquatic Sciences.*5 edn, vol. 46, pp. 818-823.

}

TY - CHAP

T1 - A conditional generalized least squares method for estimating the size of a closed population

AU - Crittenden, R. N.

AU - Thomas, Gary

PY - 1989/12/1

Y1 - 1989/12/1

N2 - In the corrected Leslie-DeLury catch-per-unit-effort method, estimation of the corrected cumulative catches causes the underlying model to be an errors-in-covariates structural model with a nondiagonal dispersion matrix. This violates the assumptions of regression and causes the corrected Leslie-DeLury method to give biased estimates of the population size and its variance. Generalized least squares and a controlled variables design were used to resolve these difficulties, obtain the minimum-variance unbiased linear estimator, and compute unbiased variance estimates. The method was applied to sockeye salmon fingerlings (Oncorhynchus nerka) netted in a hatchery pond. For these data, the corrected Leslie-DeLury method underestimates the standard error of the population size by 41%. -from Authors

AB - In the corrected Leslie-DeLury catch-per-unit-effort method, estimation of the corrected cumulative catches causes the underlying model to be an errors-in-covariates structural model with a nondiagonal dispersion matrix. This violates the assumptions of regression and causes the corrected Leslie-DeLury method to give biased estimates of the population size and its variance. Generalized least squares and a controlled variables design were used to resolve these difficulties, obtain the minimum-variance unbiased linear estimator, and compute unbiased variance estimates. The method was applied to sockeye salmon fingerlings (Oncorhynchus nerka) netted in a hatchery pond. For these data, the corrected Leslie-DeLury method underestimates the standard error of the population size by 41%. -from Authors

UR - http://www.scopus.com/inward/record.url?scp=0024887143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024887143&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0024887143

VL - 46

SP - 818

EP - 823

BT - Canadian Journal of Fisheries and Aquatic Sciences

ER -