Gibrat's Law for (All) Cities: A Rejoinder
We establish that the debate between Eeckhout (2004; 2009) and Levy (2009) has still not resolved the key issue of whether the distribution of large US urban places in 2000 is consistent with a lognormal for the intire size range. We resolve this by introducing a new distribution function which switches between a lognormal and a power distribution and estimating it with the data used by Eeckhout and Levy (2009). We find that there is a sudden transition from lognormality to power behavior as city populations icrease above sudden transition from lognormality to power behavior as city populations increase above 100,000. Gibrat's law holds for most cities but a power law holds for most of the population.
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