Results of simulations with male territory defense, showing the relationship between density and dispersal for monogamous (A) or polygyous (B) mating systems (1,000 year simulation runs in each case).

<p>Mean annual linear dispersal distances are shown for males (blue circles) and females (red circles) with respect to global population density. Insets show Weibull function shape parameter (<i>k</i>) values derived from binned sets of annual dispersal distances at a range of population densities (bin size 0.005). When <i>k</i> = 1, the distribution conforms to a negative exponential function as expected under random walk diffusion. A value k<1 indicates increasing leptokurtosis in dispersal distances, and hence a more fat-tailed distribution.