Biometrics · 2003 · 22 citations · 9 references
Life SciencesMarine BiologyZoologyMarine ConservationMarine EcologySpatial StatisticsAbundance EstimationInferential StatisticsSampling DesignSampling TheoryUnderwater SurveyWildlife Survey MethodsCovariate Interaction EffectsHeterogeneityHorvitz-thompson EstimationLine Transect SurveysSimulation StudiesSpecies Abundance EstimationSurvey DesignTransect Sampling
In conventional line transect theory, it is assumed that all animals on the line are detected. This article introduces an extended and generalized hazard probability model without the need for such an assumption. The proposed method needs a survey design with independent observers having the same visual region and assumes an explicit distinction of simultaneous and delayed duplicates. It can take account of random heterogeneity caused by surfacing behavior as well as systematic heterogeneity by covariate effects. Furthermore, it can be easily extended to cases in which data from incompletely independent observers are available. The abundance estimate is based on the Horvitz-Thompson estimator in unequal detectability sampling scheme. Simulation studies suggest that the proposed method has good performance. The method is applied to a real data set on Antarctic minke whales in the illustration.
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On the statistical analysis of capture experiments
Richard Huggins · Biometrika · 1989 · 713 citations
Mark-Recapture Models for Line Transect Surveys
David L. Borchers, Walter Zucchini, Rachel M. Fewster · Biometrics · 1998 · 163 citations
Horvitz-Thompson Estimators for Double-Platform Line Transect Surveys
David L. Borchers, S. T. Buckland, P.W. Goedhart et al. · Biometrics · 1998 · 147 citations