In this paper we analyze the effect of randomly deleting streets of a
synthetic city on the statistics of displacements. Our city is constituted
initially by a set of streets that form a regular tessellation of the euclidean
plane. Therefore we will have three types of cities, formed by squares,
triangles or hexagons. We studied the complementary cumulative distribution
function for displacements (CCDF). For the whole set of streets the CCDF is a
stretched exponential, and as streets are deleted this function becomes a
linear function and then two clear different exponentials. This behavior is
qualitatively the same for all the tessellations. Most of this functions has
been reported in the literature when studying the displacements of individuals
based on cell data trajectories and GPS information. However, in the light of
this work, the appearance of different functions for displacements CCDF can be
attributed to the connectivity of the underlying street network. It is
remarkably that for some proportion of streets we got a linear function for
such function, and as far as we know this behavior has not been reported nor
considered. Therefore, it is advisable to analyze experimental in the light of
connectivity of the street network to make correlations with the present work.Comment: 7 pages, 4 figures, 3 table
