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 |
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ASJC Scopus subject areas
- Environmental Science(all)
- Earth and Planetary Sciences(all)
Cite this
A conditional generalized least squares method for estimating the size of a closed population. / Crittenden, R. N.; Thomas, Gary.
Canadian Journal of Fisheries and Aquatic Sciences. Vol. 46 5. ed. 1989. p. 818-823.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
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
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M3 - Chapter
VL - 46
SP - 818
EP - 823
BT - Canadian Journal of Fisheries and Aquatic Sciences
ER -