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Line transect abundance estimation with uncertain detection on the trackline
Bibliography: leaves 225-233.
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| Format: | Thesis |
| Language: | English |
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Department of Statistical Sciences
2015
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| _version_ | 1867613280969687040 |
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| access_status_str | Open Access |
| author | Borchers, D L |
| author_browse | Borchers, D L |
| author_facet | Borchers, D L |
| author_sort | Borchers, D L |
| collection | Thesis |
| description | Bibliography: leaves 225-233. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/14946 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:37.862Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Statistical Sciences |
| publisherStr | Department of Statistical Sciences |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/14946 Line transect abundance estimation with uncertain detection on the trackline Borchers, D L Mathematical Statistics Bibliography: leaves 225-233. After critically reviewing developments in line transect estimation theory to date, general likelihood functions are derived for the case in which detection probabilities are modelled as functions of any number of explanatory variables and detection of animals on the trackline (i.e. directly in the observer's path) is not certain. Existing models are shown to correspond to special cases of the general models. Maximum likelihood estimators are derived for some special cases of the general model and some existing line transect estimators are shown to correspond to maximum likelihood estimators for other special cases. The likelihoods are shown to be extensions of existing mark-recapture likelihoods as well as being generalizations of existing line transect likelihoods. Two new abundance estimators are developed. The first is a Horvitz-Thompson-like estimator which utilizes the fact that for point estimation of abundance the density of perpendicular distances in the population can be treated as known in appropriately designed line transect surveys. The second is based on modelling the probability density function of detection probabilities in the population. Existing line transect estimators are shown to correspond to special cases of the new Horvitz-Thompson-like estimator, so that this estimator, together with the general likelihoods, provides a unifying framework for estimating abundance from line transect surveys. 2015-11-13T13:00:27Z 2015-11-13T13:00:27Z 1996 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/14946 eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town |
| spellingShingle | Mathematical Statistics Borchers, D L Line transect abundance estimation with uncertain detection on the trackline |
| thesis_degree_str | Doctoral |
| title | Line transect abundance estimation with uncertain detection on the trackline |
| title_full | Line transect abundance estimation with uncertain detection on the trackline |
| title_fullStr | Line transect abundance estimation with uncertain detection on the trackline |
| title_full_unstemmed | Line transect abundance estimation with uncertain detection on the trackline |
| title_short | Line transect abundance estimation with uncertain detection on the trackline |
| title_sort | line transect abundance estimation with uncertain detection on the trackline |
| topic | Mathematical Statistics |
| url | http://hdl.handle.net/11427/14946 |
| work_keys_str_mv | AT borchersdl linetransectabundanceestimationwithuncertaindetectiononthetrackline |