The size distribution across all cities - Double Pareto lognormal strikes

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The Double Power Law in Consumption and Implications for Testing Euler Equations (2015, background): “Such phenomena have been found in city size ðGiesen, Zimmermann, and Suedekum 2010Þ and income ðToda 2012Þ.”
The Growth of Cities (2013, unknown): “Giesen, Zimmermann, and Suedekum (2010) argue that, for a number of countries, a distribution that is Pareto for both tails and log normal for its body (double Pareto lognormal) provides a better fit to the data.”
US city size distribution: Robustly Pareto, but only in the tail (2013, background): “In comparison, the estimate by Giesen et al. (2010) of the Pareto exponent ζ1 that corresponds to ours varies from a maximum of 1.”
The city size distribution debate: Resolution for US urban regions and megalopolitan areas (2012, background): “, 2010; Ioannides and Overman, 2004; Ioannides and Skouras, 2009; Levy, 2009); whether Zipf’s rule is best captured by a Pareto or a lognormal distribution, and the proper testing procedure for distinguishing them (Bee et al., 2011; Garmestan and Allen, 2008; Terra, 2009; Giesen et al., 2010; Maleve”
City Age and City Size (2014, background): “It then follows from (12) and (13) that the mass of created cities is higher at every point in time the higher is gA and the lower is F .”