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Ecology, management and conservation in natural and modified habitats
RESEARCH ARTICLE

Precision, accuracy and bias of walked line-transect distance sampling to estimate eastern grey kangaroo population size

Ruth Glass A B , David M. Forsyth A C E , Graeme Coulson A and Marco Festa-Bianchet A D
+ Author Affiliations
- Author Affiliations

A School of BioSciences, The University of Melbourne, Vic. 3010, Australia.

B Regional Services, Department of Environment, Land, Water and Planning, 574 Main Street, Bairnsdale, Vic. 3875, Australia.

C Arthur Rylah Institute for Environmental Research, Department of Environment, Land, Water and Planning, 123 Brown Street, Heidelberg, Vic. 3084, Australia.

D Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada.

E Corresponding author. Email: dave.forsyth@delwp.vic.gov.au

Wildlife Research 42(8) 633-641 https://doi.org/10.1071/WR15029
Submitted: 5 February 2015  Accepted: 13 October 2015   Published: 18 December 2015

Abstract

Context: Distance sampling is widely used to estimate the size of wildlife populations, including kangaroos. However, the performance of distance-sampling abundance estimates has seldom been evaluated for wild mammal populations of known size.

Aims: We evaluated the precision, accuracy, bias and interval coverage of abundance estimates from walked line-transect sampling, a commonly used distance-sampling method, for a marked free-ranging population of eastern grey kangaroos (Macropus giganteus) at Yanakie Isthmus, Wilsons Promontory National Park, south-eastern Australia.

Methods: In each of two study periods (November 2012 and May 2013) we first determined the true size of the uniquely marked kangaroo population by conducting 10 intensive searches of the study area. We then conducted distance sampling along six systematically spaced line transects. We walked each transect four times in November 2012 and seven times in May 2013. Data were analysed using Program DISTANCE.

Key results: Our intensive searches revealed that 141 and 124 collared kangaroos were present in the study area in November 2012 and May 2013, respectively. When transects were walked four or more times (i.e. ≥400 observations), maximum precision (coefficient of variation; CV of ~13%) was achieved in both survey periods. Walking transects twice (i.e. ~200 observations) produced abundance estimates with CVs of <20% in each study period. The accuracy (root mean square error) of abundance estimates varied from 1 to 13 (November 2012) and from 3 to 28 (May 2013). Bias ranged from −9% to +23%, but stabilised at between −1% and −9% when transects were walked four or more times in each study period. The 95% confidence intervals for the abundance estimates always included the true population size.

Conclusions: Our results indicated that walked line-transect distance sampling is a precise and accurate method for estimating eastern grey kangaroo abundance. The small negative biases that occurred when sample sizes were large were likely to be due to some animals moving outside the study area.

Implications: Provided that the key design elements and assumptions are met, estimates of kangaroo abundance from walked line-transect distance sampling should have good precision (CV < 20%) and minimal (<10%) bias.

Additional keywords: abundance estimation, Australia, coefficient of variation, density estimation, interval coverage, macropods, Macropus giganteus, marked individuals, multiple-covariate distance sampling, Wilsons Promontory National Park.


References

Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In ‘International Symposium on Information Theory’. (Eds B. N. Petrov and F. Csaki.) pp. 267–281. (Akademiai Kiado: Budapest, Hungary.)

Anderson, D. R. (2001). The need to get the basics right in wildlife field studies. Wildlife Society Bulletin 29, 1294–1297.

Anderson, D. R., and Southwell, C. (1995). Estimates of macropod density from line transect surveys relative to analyst expertise. The Journal of Wildlife Management 59, 852–857.
Estimates of macropod density from line transect surveys relative to analyst expertise.Crossref | GoogleScholarGoogle Scholar |

Ariefiandy, A., Purwandana, D., Coulson, G., Forsyth, D. M., and Jessop, T. S. (2013). Using faecal counts and distance sampling to monitor the ungulate prey of the Komodo dragon. Wildlife Biology 19, 126–137.
Using faecal counts and distance sampling to monitor the ungulate prey of the Komodo dragon.Crossref | GoogleScholarGoogle Scholar |

Australian Capital Territory Government (2010). ‘ACT Kangaroo Management Plan.’ Conservation Series. (Territory and Municipal Services, Australian Capital Territory: Canberra.)

Buckland, S. T., Anderson, D. R., Burnham, K. P., and Laake, J. L. (1993). ‘Distance Sampling: Estimating Abundance of Biological Populations.’ (Chapman and Hall: London.)

Buckland, S. T., Anderson, D. R., Burnham, K. P., Laake, J. L., Borchers, D. L., and Thomas, L. (2001). ‘Introduction to Distance Sampling: Estimating Abundance of Biological Populations.’ (Oxford University Press: New York.)

Buckland, S. T., Anderson, D. R., Burnham, K. P., Laake, J. L., Borchers, D. L., and Thomas, L. (2004). ‘Advanced Distance Sampling: Estimating Abundance of Biological Populations.’ (Oxford University Press: New York.)

Buckland, S. T., Anderson, D. R., Burnham, K. P., and Laake, J. L. (2005). Distance sampling. In ‘Encyclopedia of Biostatistics.’ 2nd edn. (Eds. P. A. Armitage and T. Colton.) pp. 1488−193. (John Wiley & Sons: Chichester, UK.)

Burnham, K. P., and Anderson, D. R. (2002). ‘Model Selection and Multimodel Inference: a Practical Information-theoretic Approach.’ 2nd edn. (Springer-Verlag: New York.)

Burnham, K. P., Anderson, D. R., and Laake, J. L. (1980). Estimation of density from line transect sampling of biological populations. Wildlife Monographs 72, 3–202.

Clancy, T. F., Pople, A. R., and Gibson, L. A. (1997). Comparison of helicopter line transects with walked line transects for estimating densities of kangaroos. Wildlife Research 24, 397–409.
Comparison of helicopter line transects with walked line transects for estimating densities of kangaroos.Crossref | GoogleScholarGoogle Scholar |

Clarke, J. L., Jones, M. E., and Jarman, P. J. (1989). A day in the life of a kangaroo: activities and movements of eastern grey kangaroos Macropus giganteus at Wallaby Creek. In ‘Kangaroos, Wallabies and Rat-kangaroos’. (Eds G. Greig, P. Jarman and I. Hume.) pp. 611−618. (Surrey Beatty: Sydney.)

Coulson, G. (1993). Use of heterogeneous habitat by the western grey kangaroo, Macropus fuliginosus. Wildlife Research 20, 137–149.
Use of heterogeneous habitat by the western grey kangaroo, Macropus fuliginosus.Crossref | GoogleScholarGoogle Scholar |

Coulson, G. (2008). Eastern grey kangaroo, Macropus giganteus. In ‘Mammals of Australia’. (Eds S. van Dyck and R. Strahan.) pp. 335−338. (Reed Books: Sydney.)

Coulson, G. M., and Raines, J. A. (1985). Methods for small-scale surveys of grey kangaroos. Australian Wildlife Research 12, 119–125.
Methods for small-scale surveys of grey kangaroos.Crossref | GoogleScholarGoogle Scholar |

Davis, N. E., Coulson, G., and Forsyth, D. M. (2008). Diets of native and introduced mammalian herbivores in shrub-encroached grassy woodland, south-eastern Australia. Wildlife Research 35, 684–694.
Diets of native and introduced mammalian herbivores in shrub-encroached grassy woodland, south-eastern Australia.Crossref | GoogleScholarGoogle Scholar |

Dawson, T. J. (2012). ‘Kangaroos.’ 2nd edn. (CSIRO Publishing: Melbourne.)

Dique, D. S., de Villiers, D. L., and Preece, H. J. (2003). Evaluation of line-transect sampling for estimating koala abundance in the Pine Rivers Shire, southeast Queensland. Wildlife Research 30, 127–133.
Evaluation of line-transect sampling for estimating koala abundance in the Pine Rivers Shire, southeast Queensland.Crossref | GoogleScholarGoogle Scholar |

Dodge, Y. (2003). ‘The Oxford Dictionary of Statistical Terms.’ (Oxford University Press: Oxford, UK.)

Everitt, B. S. (1998). ‘The Cambridge Dictionary of Statistics.’ (Cambridge University Press: Cambridge, UK.)

Fewster, R. M., Buckland, S. T., Burnham, K. P., Borchers, D. L., Jupp, P. E., Laake, J. L., and Thomas, L. (2009). Estimating the encounter rate variance in distance sampling. Biometrics 65, 225–236.
Estimating the encounter rate variance in distance sampling.Crossref | GoogleScholarGoogle Scholar | 18363772PubMed |

Fletcher, D. (2006). Population dynamics of eastern grey kangaroos in temperate grasslands. Ph.D. Thesis, University of Canberra, Australia.

Focardi, S., Isotti, R., and Tinelli, A. (2002). Line transect estimates of ungulate populations in a Mediterranean forest. The Journal of Wildlife Management 66, 48–58.
Line transect estimates of ungulate populations in a Mediterranean forest.Crossref | GoogleScholarGoogle Scholar |

Franzetti, B., Ronchi, F., Marini, F., Scacco, M., Calmanti, R., Calabrese, A., Paola, A., Paolo, M., and Focardi, S. (2012). Nocturnal line transect sampling of wild boar (Sus scrofa) in a Mediterranean forest: long-term comparison with capture–mark–resight population estimates. European Journal of Wildlife Research 58, 385–402.
Nocturnal line transect sampling of wild boar (Sus scrofa) in a Mediterranean forest: long-term comparison with capture–mark–resight population estimates.Crossref | GoogleScholarGoogle Scholar |

Gélin, U., Wilson, M. E., Coulson, G. C., and Festa-Bianchet, M. (2013). Offspring sex, current and previous reproduction affect feeding behaviour in wild eastern grey kangaroos. Animal Behaviour 86, 885–891.
Offspring sex, current and previous reproduction affect feeding behaviour in wild eastern grey kangaroos.Crossref | GoogleScholarGoogle Scholar |

Hone, J. (2008). On bias, precision and accuracy in wildlife aerial surveys. Wildlife Research 35, 253–257.
On bias, precision and accuracy in wildlife aerial surveys.Crossref | GoogleScholarGoogle Scholar |

Hounsome, T. D., Young, R. P., Davison, J., Yarnell, R. W., Trewby, I. D., Garnett, B. T., Delahay, R. J., and Wilson, G. J. (2005). An evaluation of distance sampling to estimate badger abundance. Journal of Zoology 266, 81–87.
An evaluation of distance sampling to estimate badger abundance.Crossref | GoogleScholarGoogle Scholar |

Ickes, K. (2001). Hyper-abundance of native wild pigs (Sus scrofa) in a lowland dipterocarp rain forest of Peninsular Malaysia. Biotropica 33, 682–690.
Hyper-abundance of native wild pigs (Sus scrofa) in a lowland dipterocarp rain forest of Peninsular Malaysia.Crossref | GoogleScholarGoogle Scholar |

Jarman, P. J., and Coulson, G. (1989). Dynamics and adaptiveness of grouping in macropods. In ‘Kangaroos, Wallabies and Rat-kangaroos’. (Eds G. Grigg, P. Jarman and I. Hume.) pp. 527−547. (Surrey Beatty: Sydney.)

King, W., Wilson, M., Allen, T., Festa-Bianchet, M., and Coulson, G. (2011). A capture technique for free-ranging eastern grey kangaroos (Macropus giganteus) habituated to humans. Australian Mammalogy 33, 47–51.
A capture technique for free-ranging eastern grey kangaroos (Macropus giganteus) habituated to humans.Crossref | GoogleScholarGoogle Scholar |

King, W. J., Garant, D., and Festa-Bianchet, M. (2015). Mother–offspring distances reflect sex differences in fine-scale genetic structure of eastern grey kangaroos. Ecology and Evolution 5, 2084–2094.
Mother–offspring distances reflect sex differences in fine-scale genetic structure of eastern grey kangaroos.Crossref | GoogleScholarGoogle Scholar | 26045958PubMed |

Moore, B. D., Coulson, G., and Way, S. (2002). Habitat selection by adult female eastern grey kangaroos. Wildlife Research 29, 439–445.
Habitat selection by adult female eastern grey kangaroos.Crossref | GoogleScholarGoogle Scholar |

Parkes, J. P., and Forsyth, D. M. (2014). Review of eastern grey kangaroo counts and derivation of sustainable density estimates in the Australian Capital Territory. Kurahaupo Consulting Contract Report 2013/009. Kurahaupo Consulting, Christchurch, New Zealand.

Plumptre, A. J. (2000). Monitoring mammal populations with line transect techniques in African forests. Journal of Applied Ecology 37, 356–368.
Monitoring mammal populations with line transect techniques in African forests.Crossref | GoogleScholarGoogle Scholar |

Pople, T., and Grigg, G. (1999). Population monitoring, quota setting and annual harvests. In ‘Commercial Harvesting of Kangaroos in Australia’. (Department of Zoology, The University of Queensland: Brisbane.)

Porteus, T. A., Richardson, S. M., and Reynolds, J. C. (2011). The importance of survey design in distance sampling: field evaluation using domestic sheep. Wildlife Research 38, 221–234.
The importance of survey design in distance sampling: field evaluation using domestic sheep.Crossref | GoogleScholarGoogle Scholar |

Seber, G. A. F. (1982). ‘The Estimation of Animal Abundance and Related Parameters.’ 2nd edn. (Macmillan: New York.)

Skalski, J. R., Ryding, K. F., and Millspaugh, J. J. (2005). ‘Wildlife Demography.’ (Elsevier: Amsterdam.)

Sollmann, R., Gardner, B., Chandler, R. B., Royle, J. A., and Sillett, T. S. (2015). An open-population hierarchical distance sampling model. Ecology 96, 325–331.
An open-population hierarchical distance sampling model.Crossref | GoogleScholarGoogle Scholar | 26240853PubMed |

Southwell, C. J. (1984). Variability in grouping in the eastern grey kangaroo, Macropus giganteus I. Group density and group size. Australian Wildlife Research 11, 423–435.
Variability in grouping in the eastern grey kangaroo, Macropus giganteus I. Group density and group size.Crossref | GoogleScholarGoogle Scholar |

Southwell, C. (1987). Activity pattern of the eastern grey kangaroo, Macropus giganteus. Mammalia 51, 211–223.
Activity pattern of the eastern grey kangaroo, Macropus giganteus.Crossref | GoogleScholarGoogle Scholar |

Southwell, C. (1989). Techniques for monitoring the abundance of kangaroo and wallaby populations. In ‘Kangaroos, Wallabies and Rat-kangaroos’. (Eds G. Grigg, P. Jarman and I. Hume.) pp. 659−693. (Surrey Beatty: Sydney.)

Southwell, C. (1994). Evaluation of walked transect counts for estimating macropod density. The Journal of Wildlife Management 58, 348–356.
Evaluation of walked transect counts for estimating macropod density.Crossref | GoogleScholarGoogle Scholar |

Southwell, C. J., Weaver, K. E., Cairns, S. C., Pople, A. R., Gordon, A. N., Sheppard, N. W., and Broers, R. (1995). Abundance of macropods in north-eastern New South Wales, and the logistics of broad-scale ground surveys. Wildlife Research 22, 757–766.
Abundance of macropods in north-eastern New South Wales, and the logistics of broad-scale ground surveys.Crossref | GoogleScholarGoogle Scholar |

Stirrat, S. C. (2008). Age structure, mortality and breeding in a population of agile wallabies (Macropus agilis). Australian Journal of Zoology 56, 431–439.
Age structure, mortality and breeding in a population of agile wallabies (Macropus agilis).Crossref | GoogleScholarGoogle Scholar |

Taylor, R. J. (1980). Distribution of feeding activity of the eastern grey kangaroo, Macropus giganteus, in coastal lowland of south-east Queensland. Australian Wildlife Research 7, 317–325.
Distribution of feeding activity of the eastern grey kangaroo, Macropus giganteus, in coastal lowland of south-east Queensland.Crossref | GoogleScholarGoogle Scholar |

Taylor, R. J. (1983). The diet of the eastern grey kangaroo and wallaroo in areas of improved and native pasture in the New England Tablelands. Australian Wildlife Research 10, 203–211.
The diet of the eastern grey kangaroo and wallaroo in areas of improved and native pasture in the New England Tablelands.Crossref | GoogleScholarGoogle Scholar |

Thomas, L., Buckland, S. T., Rexstad, E. A., Laake, J. L., Strindberg, S., Hedley, S. L., Bishop, J. R. B., Marques, T. A., and Burnham, K. P. (2010). Distance software: design and analysis of distance sampling surveys for estimating population size. Journal of Applied Ecology 47, 5–14.
Distance software: design and analysis of distance sampling surveys for estimating population size.Crossref | GoogleScholarGoogle Scholar | 20383262PubMed |

Thompson, W. L., White, G. C., and Gowan, C. (1998). ‘Monitoring Vertebrate Populations.’ (Academic Press: San Diego, CA.)

Walther, B. A., Moore, J. L., and Rahbek, C. (2005). The concepts of bias, precision and accuracy, and their use in testing the performance of species richness estimators, with a literature review of estimator performance. Ecography 28, 815–829.
The concepts of bias, precision and accuracy, and their use in testing the performance of species richness estimators, with a literature review of estimator performance.Crossref | GoogleScholarGoogle Scholar |

Williams, B. K., Nichols, J. D., and Conroy, M. J. (2002). ‘Analysis and Management of Animal Populations.’ (Academic Press: San Diego, CA.)