The Long‐Run History of Income Inequality in Denmark

AuthorJakob Egholt Søgaard,Anthony B. Atkinson
DOIhttp://doi.org/10.1111/sjoe.12143
Published date01 April 2016
Date01 April 2016
Scand. J. of Economics 118(2), 264–291, 2016
DOI: 10.1111/sjoe.12143
The Long-Run History of Income
Inequality in Denmark
Anthony B. Atkinson
Nuffield College, University of Oxford, Oxford OX1 1NF, UK
tony.atkinson@nuffield.ox.ac.uk
Jakob Egholt Søgaard
University of Copenhagen, DK-1353 Copenhagen K, Denmark
jes@econ.ku.dk
Abstract
We use historical publications and micro data from tax returns to construct internationally
comparable estimates of the development in income inequality in Denmark over the last 140
years. The study shows that income inequality and top income shares have declined during
several distinct phases in between periods of stability. Furthermore, the quality of the Danish
data allows us to analyse not only the development in top income shares but also broader
inequality measures such as the Gini coefficient. These analyses show that top income shares
are a good proxy for the underlying development in inequality.
Keywords: Denmark; income distribution; income inequality; taxation; top incomes
JEL classification:D31; H2; J3; N3
I. Introduction
The long-run history of income inequality in Denmark is of considerable
interest. Denmark is often portrayed as a country that has successfully com-
bined economic performance with social safety. Certainly, in today’s terms,
Denmark scores well in league tables of income inequality. In the OECD
2011 report, Divided We Stand: Why Inequality Keeps Rising, Denmark
has one of the lowest Gini coefficients, and in the World Top Incomes
Database (WTID),1the share of the top 1 percent is among the lowest
recorded. This leads naturally to the question whether this has always been
so, or has Denmark in the past brought about a significant reduction in
inequality. If so, when did it take place and how was it achieved?
We are most grateful to Rewal Schmidt Sørensen for sharing with us the historical data
that he collected for his study (1989, 1993). His work and data have formed an invaluable
starting point for our research. We thank Facundo Alvaredo and Daniel Waldenstr¨
om for their
help and encouragement, the anonymous referees, and Thomas Piketty, Ingrid Henriksen,
Jesper Roine, Claus Thustrup Kreiner and Peter Schultz-Møller for valuable comments and
suggestions.
1http://www.parisschoolofeconomics.eu/en/expertise-dissemination/wtid-world-top-incomes-
database/
CThe editors of The Scandinavian Journal of Economics 2015.
A. B. Atkinson and J. E. Søgaard 265
With the focus on long-run income inequality, the present paper con-
tributes to the recent literature on top income shares that has emerged since
the studies by Piketty (2001, 2003), Piketty and Saez (2003), and Atkinson
(2005). These studies have been influential in highlighting the dramatic
changes in income inequality across many different countries since the
beginning of the 20th century. Studies of this type have already been con-
ducted on Finland (J¨
antti et al., 2010), Norway (Aaberge and Atkinson,
2010), and Sweden (Roine and Waldenstr¨
om, 2010), and the present paper
thus completes the set of Scandinavian countries.
At the same time, the focus on top income shares stems from the fact
that historical sources on the income distribution in most countries have
primarily covered the top of the distribution, hence making the estimation
of broader measures of inequality such as the Gini coefficient infeasible. In
contrast, the data sources for Denmark extend well down into the income
distribution from almost the beginning of the 20th century and we can –
quite unusually – construct a series covering nearly one hundred years. This
allows us to address two further questions. How well do top income shares
work as proxies for the development in the overall income distribution?
What other parts of the income distribution mirror the changes at the top?
The study on Denmark is aided by the fact that the income tax data pro-
vide a rich historical source, which can be coupled with micro data covering
the entire universe of taxpayers in Denmark available from 1980. There has
long been research based on these tax records. The 1928 textbook, Den
okonomiske fordeling, by Zeuthen, contained analyses of the distribution
in the 1920s. Bjerke (1957, 1965) examined the period 1939–1964, while
later studies included Egmose (1985) covering 1939–1980, Pedersen and
Smith (2000) covering 1981–1996, and the series for top income shares
constructed from micro data for 1980–2005 by Kleven and Schultz (2014).
Finally, a long-run perspective is taken by Sørensen (1989, 1993), whose
study covers 1903–1986. This paper benefits from these earlier investiga-
tions, and seeks to join up the findings for the different subperiods, while
paying strict attention to the comparability of the data over time.
In this respect, the concept of “assessed income” used in many of these
earlier Danish studies represents an obstacle (in effect, it deducts taxes
paid in the previous year). Compared to these earlier studies, a major
contribution of the present paper is to make estimates of the distribution
of taxable income – a concept similar to that employed in other countries.
In doing so, we obtain internationally comparable estimates of income
inequality in Denmark from 1870 to 2010, that is, 140 years spanning two
world wars, and the Great Depression as well as the recent financial crisis.
At the outset, we should emphasize that, as normal when considering time
series from more than a century, the data have limitations. The income tax
data used here arise from an administrative process and reflect both the tax
CThe editors of The Scandinavian Journal of Economics 2015.

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