Spatial earnings inequality

Christian Schluter, Mark Trede
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Abstract

Earnings inequality in Germany has increased dramatically. Measuring inequality locally at the level of cities annually since 1985, we find that behind this development is the rapidly worsening inequality in the largest cities, driven by increasing earnings polarisation. In the cross-section, local earnings inequality rises substantially in city size, and this city-size inequality penalty has increased steadily since 1985, reaching an elasticity of .2 in 2010. Inequality decompositions reveal that overall earnings inequality is almost fully explained by the within-locations component, which in turn is driven by the largest cities. The worsening inequality in the largest cities is amplified by their greater population weight. Examining the local earnings distributions directly reveals that this is due to increasing earnings polarisation that is strongest in the largest places. Both upper and lower distributional tails become heavier over time, and are the heaviest in the largest cities. We establish these results using a large and spatially representative administrative data set, and address the top-coding problem in these data using a parametric distribution approach that outperforms standard imputations.

空间收入不平等
德国的收入不平等现象急剧加剧。自 1985 年以来,我们每年都会在城市层面对当地的不平等现象进行测量,结果发现,在收入两极分化加剧的推动下,最大城市的不平等现象正在迅速恶化。在横截面上,地方收入不平等随着城市规模的扩大而大幅上升,而且这种城市规模不平等惩罚自 1985 年以来一直在稳步上升,到 2010 年达到了 0.2 的弹性。不平等分解显示,总体收入不平等几乎完全由地区内部分解释,而地区内部分又是由最大城市驱动的。由于人口比重较大,大城市的不平等加剧。对当地收入分布的直接研究表明,这是由于收入两极分化加剧所致,而这种两极分化在最大城市最为明显。随着时间的推移,分布的上端和下端都变得更加严重,而最大城市的情况最为严重。我们利用具有空间代表性的大型行政数据集得出了这些结果,并利用优于标准估算的参数分布方法解决了这些数据中的顶层编码问题。
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