Volume 78, Issue 1 pp. 274-285
BIOMETRIC METHODOLOGY

A latent capture history model for digital aerial surveys

David L. Borchers

Corresponding Author

David L. Borchers

Centre for Research into Ecological, and Environmental Modelling, University of St Andrews, St Andrews, Fife, UK

Correspondence

D. L. Borchers, University of St Andrews, Centre for Research into Ecological, and Environmental Modelling, St Andrews, Fife, UK.

Email: [email protected]

Search for more papers by this author
Peter Nightingale

Peter Nightingale

Department of Computer Science, University of York, Deramore Lane, Heslington, York, UK

Search for more papers by this author
Ben C. Stevenson

Ben C. Stevenson

Department of Statistics, University of Auckland, Auckland, New Zealand

Search for more papers by this author
Rachel M. Fewster

Rachel M. Fewster

Department of Statistics, University of Auckland, Auckland, New Zealand

Search for more papers by this author
First published: 20 November 2020
Citations: 5

Abstract

We anticipate that unmanned aerial vehicles will become popular wildlife survey platforms. Because detecting animals from the air is imperfect, we develop a mark-recapture line transect method using two digital cameras, possibly mounted on one aircraft, which cover the same area with a short time delay between them. Animal movement between the passage of the cameras introduces uncertainty in individual identity, so individual capture histories are unobservable and are treated as latent variables. We obtain the likelihood for mark-recapture line transects without capture histories by automatically enumerating all possibilities within segments of the transect that contain ambiguous identities, instead of attempting to decide identities in a prior step. We call this method “Latent Capture-history Enumeration” (LCE). We include an availability model for species that are periodically unavailable for detection, such as cetaceans that are undetectable while diving. External data are needed to estimate the availability cycle length, but not the mean availability rate, if the full availability model is employed. We compare the LCE method with the recently developed cluster capture-recapture method (CCR), which uses a Palm likelihood approximation, providing the first comparison of CCR with maximum likelihood. The LCE estimator has slightly lower variance, more so as sample size increases, and close to nominal coverage probabilities. Both methods are approximately unbiased. We illustrate with semisynthetic data from a harbor porpoise survey.

DATA AVAILABILITY STATEMENT

Data sharing is not applicable to this paper as no new data were created or analysed in this paper.

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.