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A simulation study of the effect of target motion on sighting estimates of minke whale population density

Line transect methods used to estimate population density assume stationarity of targets. Violation of this assumption leads to overestimation of the true density. A simulation study based on a hazard-rate model is used to assess the resulting bias. The model is calibrated to generate sighting data...

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Main Author: Basson, Marinelle
Other Authors: Butterworth, Doug S
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2016
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access_status_str Open Access
author Basson, Marinelle
author2 Butterworth, Doug S
author_browse Basson, Marinelle
Butterworth, Doug S
author_facet Butterworth, Doug S
Basson, Marinelle
author_sort Basson, Marinelle
collection Thesis
description Line transect methods used to estimate population density assume stationarity of targets. Violation of this assumption leads to overestimation of the true density. A simulation study based on a hazard-rate model is used to assess the resulting bias. The model is calibrated to generate sighting data resembling real data from minke whale sighting surveys. The procedure currently used to calculate a corrected negative exponential density estimate from sighting data is duplicated using simulated data. The resulting estimates are compared to the true population density determined by the simulation. Results reveal that in the case considered, the method of calculating the g(O) factor (which corrects for the fact that all animals on the trackline are not sighted) leads to a greater degree of overestimation than the effect of target motion at 3 knots. Shortcomings of the model are pointed out and possible improvements suggested. It is also suggested that further research be focused initially on the calculation of the g(O) correction factor rather than on effects of target motion.
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:31:58.458Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2016
publishDateRange 2016
publishDateSort 2016
publisher Department of Mathematics and Applied Mathematics
publisherStr Department of Mathematics and Applied Mathematics
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/16843 A simulation study of the effect of target motion on sighting estimates of minke whale population density Basson, Marinelle Butterworth, Doug S Underhill, Leslie G Mathematical Statistics Operations Research Line transect methods used to estimate population density assume stationarity of targets. Violation of this assumption leads to overestimation of the true density. A simulation study based on a hazard-rate model is used to assess the resulting bias. The model is calibrated to generate sighting data resembling real data from minke whale sighting surveys. The procedure currently used to calculate a corrected negative exponential density estimate from sighting data is duplicated using simulated data. The resulting estimates are compared to the true population density determined by the simulation. Results reveal that in the case considered, the method of calculating the g(O) factor (which corrects for the fact that all animals on the trackline are not sighted) leads to a greater degree of overestimation than the effect of target motion at 3 knots. Shortcomings of the model are pointed out and possible improvements suggested. It is also suggested that further research be focused initially on the calculation of the g(O) correction factor rather than on effects of target motion. 2016-02-08T07:08:23Z 2016-02-08T07:08:23Z 1983 Master Thesis Masters MSc http://hdl.handle.net/11427/16843 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town
spellingShingle Mathematical Statistics
Operations Research
Basson, Marinelle
A simulation study of the effect of target motion on sighting estimates of minke whale population density
thesis_degree_str Master's
title A simulation study of the effect of target motion on sighting estimates of minke whale population density
title_full A simulation study of the effect of target motion on sighting estimates of minke whale population density
title_fullStr A simulation study of the effect of target motion on sighting estimates of minke whale population density
title_full_unstemmed A simulation study of the effect of target motion on sighting estimates of minke whale population density
title_short A simulation study of the effect of target motion on sighting estimates of minke whale population density
title_sort simulation study of the effect of target motion on sighting estimates of minke whale population density
topic Mathematical Statistics
Operations Research
url http://hdl.handle.net/11427/16843
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