Abstract
Distance sampling provides a rigorous framework for estimating detectability, allowing us to correct counts of detected animals in covered areas for those that were missed. The fundamental concept involved in estimating detectability in the distance sampling context is the detection function, which represents the probability of detecting an object of interest as a function of its distance from the line or point. Thus a key step in any distance sampling analysis is to choose a plausible and parsimonious model for the detection function.
The original version of this chapter was revised. An erratum to this chapter can be found at https://doi.org/10.1007/978-3-319-19219-2_14.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Borchers, D. L., J. L. Laake, C. Southwell, and C. G. M. Paxton (2006). Accommodating unmodeled heterogeneity in double-observer distance sampling surveys. Biometrics 62, 372–378.
Buckland, S. T., D. R. Anderson, K. P. Burnham, J. L. Laake, D. L. Borchers, and L. Thomas (2001). Introduction to Distance Sampling: Estimating Abundance of Biological Populations. Oxford: Oxford University Press.
Buckland, S. T., D. R. Anderson, K. P. Burnham, J. L. Laake, D. L. Borchers, and L. Thomas (2004). Advanced Distance Sampling. Oxford: Oxford University Press.
Buckland, S. T., K. P. Burnham, and N. H. Augustin (1997). Model selection: an integral part of inference. Biometrics 53, 603–618.
Buckland, S. T., J. L. Laake, and D. L. Borchers (2010). Double-observer line transect methods: levels of independence. Biometrics 66, 169–177.
Burnham, K. P. and D. R. Anderson (2002). Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach, 2nd ed. Springer-Verlag.
Burnham, K. P., S. T. Buckland, J. L. Laake, D. L. Borchers, T. A. Marques, J. R. B. Bishop, and L. Thomas (2004). Further topics in distance sampling. pp. 307–392 in S. T. Buckland, D. R. Anderson, K. P. Burnham, J. L. Laake, D. L. Borchers, and L. Thomas (Eds.), Advanced Distance Sampling. Oxford: Oxford University Press.
Burt, L., D. L. Borchers, K. J. Jenkins, and T. A. Marques (2014). Using mark-recapture distance sampling methods on line transect surveys. Methods in Ecology and Evolution 5, 1180–1191.
Collier, B. A., S. L. Farrell, A. M. Long, A. J. Campomizzi, K. B. Hays, J. L. Laake, M. L. Morrison, and R. N. Wilkins (2013). Modeling spatially explicit densities of endangered avian species in a heterogeneous landscape. The Auk 130, 666–676.
Fancy, S. G., T. J. Snetsinger, and J. D. Jacobi (1997). Translocation of the palila, an endangered Hawaiian honeycreeper. Pacific Conservation Biology 3, 39–46.
Gates, C. E., W. H. Marshall, and D. P. Olson (1968). Line transect method of estimating grouse population densities. Biometrics 24, 135–145.
Hammond, P. S., P. Berggren, H. Benke, D. L. Borchers, A. Collet, M. P. Heide-Jørgensen, S. Heimlich, A. R. Hiby, M. F. Leopold, and N. Øien (2002). Abundance of harbour porpoise and other cetaceans in the North Sea and adjacent waters. The Journal of Applied Ecology 39, 361–376.
Hayes, R. J. and S. T. Buckland (1983). Radial-distance models for the line-transect method. Biometrics 39, 29–42.
Laake, J. L. (1999). Distance sampling with independent observers: reducing bias from heterogeneity by weakening the conditional independence assumption. pp. 137–148 in G. W. Garner, S. C. Amstrup, J. L. Laake, B. F. J. Manly, L. L. McDonald, and D. G. Robertson (Eds.), Marine Mammal Survey and Assessment Methods. Rotterdam: Balkema.
Laake, J. L. and D. L. Borchers (2004). Methods for incomplete detection at distance zero. pp. 108–189 in S. T. Buckland, D. R. Anderson, K. P. Burnham, J. L. Laake, D. L. Borchers, and L. Thomas (Eds.), Advanced Distance Sampling. Oxford: Oxford University Press.
Laake, J. L., B. A. Collier, M. L. Morrison, and R. N. Wilkins (2011). Point-based mark-recapture distance sampling. Journal of Agricultural, Biological, and Environmental Statistics 16, 389–408.
Link, W. A. (2003). Nonidentifiability of population size from capture-recapture data with heterogeneous detection probabilities. Biometrics 59, 1123–1130.
Link, W. A. (2004). Individual heterogeneity and identifiability in capture-recapture models. Animal Biodiversity and Conservation 27, 87–91.
Marques, F. F. C. and S. T. Buckland (2003). Incorporating covariates into standard line transect analyses. Biometrics 59, 924–935.
Marques, F. F. C. and S. T. Buckland (2004). Covariate models for the detection function. pp. 31–47 in S. T. Buckland, D. R. Anderson, K. P. Burnham, J. L. Laake, D. L. Borchers, and L. Thomas (Eds.), Advanced Distance Sampling. Oxford: Oxford University Press.
Marques, T. A., L. Thomas, S. G. Fancy, and S. T. Buckland (2007). Improving estimates of bird density using multiple covariate distance sampling. The Auk 124, 1229–1243.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Buckland, S.T., Rexstad, E.A., Marques, T.A., Oedekoven, C.S. (2015). Modelling Detection Functions. In: Distance Sampling: Methods and Applications. Methods in Statistical Ecology. Springer, Cham. https://doi.org/10.1007/978-3-319-19219-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-19219-2_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19218-5
Online ISBN: 978-3-319-19219-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)