Quite nicely, the scale of landscape features can also be quantified with fractals. Thus a model incorporating fractal geometry might be able to predict how organisms will move through heterogeneous landscapes. Percolation theory s suggested above, percolation theory offers another means to describe and predict animal movement. Johnson et al. In order to do this, they used percolation theory and fractals.
Percolation theory is based on the density and spatial arrangement of elements on a map.
Each cell in the map can be either empty or filled. Depending on the density of filled cells and their arrangement, a cell will be isolated or connected to some or all of its neighbors. A cluster is defined as a set of connected cells. At low P, a random percolation map will have many isolated filled cells and small clusters. At intermediate P, clusters become larger and thus fewer.