# Home range

(Redirected from Home ranges)

A home range is the area in which an animal lives and moves on a periodic basis. It is related to the concept of an animal's territory which is the area that is actively defended. The concept of a home range was introduced by W. H. Burt in 1943. He drew maps showing where the animal had been observed at different times. An associated concept is the utilization distribution which examines where the animal is likely to be at any given time. Data for mapping a home range used to be gathered by careful observation, but nowadays, the animal is fitted with a transmission collar or similar GPS device.

The simplest way of measuring the home range is to construct the smallest possible convex polygon around the data but this tends to overestimate the range. The best known methods for constructing utilization distributions are the so-called bivariate Gaussian or normal distribution kernel density methods. More recently, nonparametric methods such as the Burgman and Fox's alpha-hull and Getz and Wilmers local convex hull have been used. Software is available for using both parametric and nonparametric kernel methods.

## History

The concept of the home range can be traced back to a publication in 1943 by W. H. Burt, who constructed maps delineating the spatial extent or outside boundary of an animal's movement during the course of its everyday activities.[1] Associated with the concept of a home range is the concept of a utilization distribution, which takes the form of a two dimensional probability density function that represents the probability of finding an animal in a defined area within its home range.[2][3] The home range of an individual animal is typically constructed from a set of location points that have been collected over a period of time identifying the position in space of an individual at many points in time. Such data are now collected automatically using collars placed on individuals that transmit through satellites or using mobile cellphone technology and global positioning systems (GPS) technology, at regular intervals.

## Methods of calculation

The simplest way to draw the boundaries of a home range from a set of location data is to construct the smallest possible convex polygon around the data. This approach is referred to as the minimum convex polygon (MCP) method which is still widely employed,[4][5][6][7] but has many drawbacks including often overestimating the size of home ranges.[8]

The best known methods for constructing utilization distributions are the so-called bivariate Gaussian or normal distribution kernel density methods.[9][10][11] This group of methods is part of a more general group of parametric kernel methods that employ distributions other than the normal distribution as the kernel elements associated with each point in the set of location data.

Recently, the kernel approach to constructing utilization distributions was extended to include a number of nonparametric methods such as the Burgman and Fox's alpha-hull method [12] and Getz and Wilmers local convex hull (LoCoH) method.[13] This latter method has now been extended from a purely fixed-point LoCoH method to fixed radius and adaptive point/radius LoCoH methods.[14]

Although, currently, more software is available to implement parametric than nonparametric methods (because the latter approach is newer), the cited papers by Getz et al. demonstrate that LoCoH methods generally provide more accurate estimates of home range sizes and have better convergence properties as sample size increases than parametric kernel methods.

Home range estimation methods that have been developed since 2005 include:

Computer packages for using parametric and nonparametric kernel methods are available online.[21][22][23][24]

## References

1. ^ Burt, W. H. (1943). "Territoriality and home range concepts as applied to mammals". Journal of Mammalogy. 24 (3): 346–352. JSTOR 1374834.
2. ^ Jennrich, R. I.; Turner, F. B. (1969). "Measurement of non-circular home range". Journal of Theoretical Biology. 22 (2): 227–237. doi:10.1016/0022-5193(69)90002-2.
3. ^ Ford, R. G.; Krumme, D. W. (1979). "The analysis of space use patterns". Journal of Theoretical Biology. 76 (2): 125–157. doi:10.1016/0022-5193(79)90366-7.
4. ^ Baker, J. (2001). "Population density and home range estimates for the Eastern Bristlebird at Jervis Bay, south-eastern Australia". Corella. 25: 62–67.
5. ^ Creel, S.; Creel, N. M. (2002). The African Wild Dog: Behavior, Ecology, and Conservation. Princeton, New Jersey: Princeton University Press. ISBN 0691016550.
6. ^ Meulman, E. P.; Klomp, N. I. (1999). "Is the home range of the heath mouse Pseudomys shortridgei an anomaly in the Pseudomys genus?". Victorian Naturalist. 116: 196–201.
7. ^ Rurik, L.; Macdonald, D. W. (2003). "Home range and habitat use of the kit fox (Vulpes macrotis) in a prairie dog (Cynomys ludovicianus) complex". J. Zoology. 259 (1): 1–5. doi:10.1017/S0952836902002959.
8. ^ Burgman, M. A.; Fox, J. C. (2003). "Bias in species range estimates from minimum convex polygons: implications for conservation and options for improved planning". Animal Conservation. 6 (1): 19–28. doi:10.1017/S1367943003003044.
9. ^ Silverman, B. W. (1986). Density estimation for statistics and data analysis. London: Chapman and Hall. ISBN 0412246201.
10. ^ Worton, B. J. (1989). "Kernel methods for estimating the utilization distribution in home-range studies". Ecology. 70 (1): 164–168. doi:10.2307/1938423.
11. ^ Seaman, D. E.; Powell, R. A. (1996). "An evaluation of the accuracy of kernel density estimators for home range analysis". Ecology. 77 (7): 2075–2085. doi:10.2307/2265701.
12. ^ Burgman, M. A.; Fox, J. C. (2003). "Bias in species range estimates from minimum convex polygons: implications for conservation and options for improved planning". Animal Conservation. 6 (1): 19–28. doi:10.1017/S1367943003003044.
13. ^ Getz, W. M.; Wilmers, C. C. (2004). "A local nearest-neighbor convex-hull construction of home ranges and utilization distributions" (PDF). Ecography. 27 (4): 489–505. doi:10.1111/j.0906-7590.2004.03835.x.
14. ^ Getz, W. M; Fortmann-Roe, S.; Cross, P. C.; Lyonsa, A. J.; Ryan, S. J.; Wilmers, C. C. (2007). "LoCoH: nonparametric kernel methods for constructing home ranges and utilization distributions" (PDF). PLoS ONE. 2 (2): e207. PMC . PMID 17299587. doi:10.1371/journal.pone.0000207.
15. ^ Getz, W. M.; Wilmers, C. C. (2004). "A local nearest-neighbor convex-hull construction of home ranges and utilization distributions" (PDF). Ecography. 27 (4): 489–505. doi:10.1111/j.0906-7590.2004.03835.x.
16. ^ Horne, J. S.; Garton, E. O.; Krone, S. M.; Lewis, J. S. (2007). "Analyzing animal movements using Brownian Bridges". Ecology. 88 (9): 2354–2363. doi:10.1890/06-0957.1.
17. ^ Steiniger, S.; Hunter, A. J. S. (2012). "A scaled line-based kernel density estimator for the retrieval of utilization distributions and home ranges from GPS movement tracks". Ecological Informatics. doi:10.1016/j.ecoinf.2012.10.002.
18. ^ Downs, J. A.; Horner, M. W.; Tucker, A. D. (2011). "Time-geographic density estimation for home range analysis". Annals of GIS. 17 (3): 163–171. doi:10.1080/19475683.2011.602023.
19. ^ Long, J. A.; Nelson, T. A. (2012). "Time geography and wildlife home range delineation". Journal of Wildlife Management. 76 (2): 407–413. doi:10.1002/jwmg.259.
20. ^ Steiniger, S.; Hunter, A. J. S. (2012). "OpenJUMP HoRAE – A free GIS and Toolbox for Home-Range Analysis". Wildlife Society Bulletin. 36 (3): 600–608. doi:10.1002/wsb.168. (See also: OpenJUMP HoRAE - Home Range Analysis and Estimation Toolbox)
21. ^ LoCoH: Powerful algorithms for finding home ranges
22. ^ AniMove - Animal movement methods
23. ^ OpenJUMP HoRAE - Home Range Analysis and Estimation Toolbox (open source; methods: Point-Kernel, Line-Kernel, Brownian-Bridge, LoCoH, MCP, Line-Buffer)
24. ^ adehabitat for R (open source; methods: Point-Kernel, Line-Kernel, Brownian-Bridge, LoCoH, MCP, GeoEllipse)