Line transect abundance estimation with uncertain detection on the trackline

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dc.contributor.authorBorchers, D Len_ZA
dc.date.accessioned2015-11-13T13:00:27Z
dc.date.available2015-11-13T13:00:27Z
dc.date.issued1996en_ZA
dc.descriptionBibliography: leaves 225-233.en_ZA
dc.description.abstractAfter 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.en_ZA
dc.identifier.apacitationBorchers, D. L. (1996). <i>Line transect abundance estimation with uncertain detection on the trackline</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Statistical Sciences. Retrieved from http://hdl.handle.net/11427/14946en_ZA
dc.identifier.chicagocitationBorchers, D L. <i>"Line transect abundance estimation with uncertain detection on the trackline."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Statistical Sciences, 1996. http://hdl.handle.net/11427/14946en_ZA
dc.identifier.citationBorchers, D. 1996. Line transect abundance estimation with uncertain detection on the trackline. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Borchers, D L AB - 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. DA - 1996 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1996 T1 - Line transect abundance estimation with uncertain detection on the trackline TI - Line transect abundance estimation with uncertain detection on the trackline UR - http://hdl.handle.net/11427/14946 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/14946
dc.identifier.vancouvercitationBorchers DL. Line transect abundance estimation with uncertain detection on the trackline. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Statistical Sciences, 1996 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/14946en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Statistical Sciencesen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematical Statisticsen_ZA
dc.titleLine transect abundance estimation with uncertain detection on the tracklineen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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