ABSTRACT

In flat cultivated landscapes it is often not possible to walk in a straight line from one point to another point. Instead, paths are more or less rectilinear. Think for example of urban environments or rectangular patches of farmland, where transportation routes or pipeline infrastructure often must follow public roads. Let ρ be the length of such diversion connecting two arbitrary points relative to their straight line distance. Below we refer to this ratio as the diversion ratio. For a random variable X we denote with μ( ) its mean.