Appendix C. Description of fractal analysis.

A range of dividers are used to determine the length of a movement path, with path
length decreasing as divider size increases (Mandelbrot 1967, Doerr and Doerr
2004). A log-log plot of divider size versus path length is then
generated, which yields a line with slope 1-D, and can be described by L(G) =
kG Doerr, V. A. J., and E. D. Doerr. 2004. Fractal analysis can explain individual variation in dispersal search paths. Ecology 85:1428–1438. Mandelbrot, B. B. 1967. How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 156:636–638. Nams, V. O. 2006. Improving accuracy and precision in estimating fractal dimension of animal movement paths. Acta. Biotheoretica. 54:1–11. |