Figure 1.

Graphical representation to infer the average size of an individual home range L from movement data gathered within a square observation window of size G ² . The three sigmoidal curves in red, black and blue are generated by plotting, respectively, the 2d analogue Eq. (11) with the potential $U\left(x\right)/D=\left\{\text{erf}\left[\sqrt{6\pi /11}(x/L+1/2)\right]-\text{erf}\left[\sqrt{6\pi /11}(x/L-1/2)\right]\right\}$, Eq. (14) with $U\left(x\right)/D=ln{\left(1+2x^2/L^2\right)}^3$, and Eq. (13) when U(x)/D=x ²/L ², and their corresponding equivalent along the orthogonal axis.