The Lévy Flight
I recently stumbled upon this intriguing blog post by Seth Godin. Seth discusses how foraging animals exhaust the nuts and berries in a small area and then randomly walk to a new site and start foraging again. This foraging pattern is described mathematically as a "Lévy Flight." The Lévy Flight describes a random walk which after a large number of steps the distance from the origin tends towards a stable distribution. As you see in the picture, small clusters form around the starting point but none of the clusters is particularly far from the origin. There is a sort of localized and stabilized randomness to the pattern. Naturally, I began to think of this as it might apply to fitness.
