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Using population data of high spatial resolution for a region in the south ofEurope, we define cities by aggregating individuals to form connected clusters.The resulting cluster-population distributions show a smooth decreasingbehavior covering six orders of magnitude. We perform a detailed study of thedistributions, using state-of-the-art statistical tools. By means of scalinganalysis we rule out the existence of a power-law regime in the low-populationrange. The logarithmic-coefficient-of-variation test allows us to establishthat the power-law tail for high population, characteristic of Zipf's law, hasa rather limited range of applicability. Instead, lognormal fits describe thepopulation distributions in a range covering from a few dozens individuals tomore than one million (which corresponds to the population of the largestcluster).

Truncated lognormal distributions and scaling in the size of naturally defined population clusters