La medición de la dimensión fractal en las ciudades, una aproximación para conocer su eficiencia en movilidad

The description of the shape of cities requires the analysis of complex geometries in two ways, 1) the shape of city contour, and 2) the inner shape of street network. Quantify contour characteristics it is important because its intrinsic relation with urban construction process, which is related to urban mobility. Fractal geometry can be applied for this purpose: in this paper the fractal dimension of Mexican cities with more than 200 thousand inhabitants has been calculated and then the relationship of this result with the mobility variables of the Mexican Institute of Competition (IMCO) has been analyzed. The connection has been high and negative between the fractal dimension of the urban contour and the variables related to high mobility, so it can be deduced that the complexity of the city contours is related to the difficulty for the people to move, therefore is relevant to measure this in more specific ways. Also, for application purposes and for the investigation of the fractal dimension has been developed a plugin for the open software QGIS.