Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case*

We derive the sampling variances of generalized entropy and Atkinson indices when estimated from complex survey data, and show how they can be calculated straightforwardly using widely available software. We also show that, when the same approach is used to derive variance formulae for the independent and identically distributed case, it leads to estimators that are simpler than those proposed before. Both cases are illustrated with a comparison of income inequality in Britain and Germany.     

INCOME INEQUALITY IN GERMANY DURING THE 1980s AND 1990s

The paper estimates a variety of inequality measures for three sub-samples of the German population using cross-sectional data on equivalent income from the German Socio-Economic Panel (GSOEP). The sub-populations under consideration are residents of West Germany including foreigners for the years 1984 to 1996, residents of East Germany for the years 1990 to 1996 and a comprehensive German population for the years 1990 to 1996. Bootstrap methods are applied to test whether changes in inequality are statistically significant. In order to account for panel attrition and over-sampling, sample weights are incorporated into the estimation procedure. The empirical results confirm the relative stability of the West German income distribution. While income inequality in West Germany has generally not altered in an economically relevant way over the period 1985 to 1996, inequality in East Germany has increased after reunification. Despite this increase, inequality remains substantially higher in the western part of the country. Convergence of eastern mean income to the western level generally overcompensated the rise in inequality in East Germany, so that the level of inequality in unified Germany is lower in 1996 than in 1990.     

Why Did Income Inequality in Germany Not Increase Further After 2005?

While income inequality in Germany considerably increased in the years before 2005, this trend stopped after 2005. We address the question of what factors were responsible for the break in the inequality trend after 2005. Our analysis suggests that income inequality in Germany did not continue to rise after 2005 for the following reasons. First, we observe that the general rise in wage inequality that explained a lot of the inequality increase before 2005, became less steep (but did not stop) after 2005. Second, despite further increases in wage inequality after 2005, inequality in annual labour incomes did not increase further after 2005 because increased within‐year employment opportunities compensated otherwise rising inequality in annual labour incomes. Third, income inequality did not fall in a more marked way after 2005 because also the middle and the upper part of the distribution benefited from the employment boom after 2006. Finally, we provide evidence that the effect of a wide range of other factors that are often suspected to have influenced the distribution such as capital incomes, household structures, population ageing, changes in the tax and transfer system and the financial crisis of 2008 did not significantly alter the distribution after 2005.     

Direct Estimation of Equivalence Scales and More Evidence on Independence of Base

We explore a direct approach to estimating household equivalence scales from income satisfaction data. Our method differs from previous approaches to using satisfaction data for this purpose in that it can be used to directly fit and evaluate closed‐form and non‐parametric equivalence scales of any desired form. Its flexibility makes it easy to consider specific aspects such as income dependence or more specific information on household composition (such as whether household members live in a partner relationship). We estimate and evaluate a number of scales used in the literature. If the equivalence scale is assumed to be independent of income and to depend only on household size, we do not reject the validity of the widely used square‐root scale at conventional significance levels. We also test GESE and GAESE restrictions (Donaldson and Pendakur, 2003, 2006) and investigate in detail to what extent household economies of scale depend on income. Our results suggest that the income dependence differs fundamentally across household types (rising economies of scale for ‘family’ households, falling economies of scale for multi‐adult households without children and no income dependence for other households).     

An empirical test of marginal productivity theory

We explore an hitherto unused approach to testing marginal productivity theory. Our method rests on the simple idea that, under the assumption of a linear homogeneous production function, residual profits are informative about the discrepancies between factor payments and marginal products. Our empirical application using data on manufacturing plants in Chile suggest moderate deviations from marginal productivity theory which depend on firm size.     

Understanding Rising Income Inequality in Germany, 1999/2000–2005/2006

We examine the factors behind rising income inequality in Europe's most populous economy. From 1999/2000 to 2005/2006, Germany experienced an unprecedented rise in net equivalized income inequality and poverty. At the same time, unemployment rose to record levels, part‐time and marginal part‐time work grew, and there was evidence for a widening distribution of labor incomes. Other factors that possibly contributed to the rise in income inequality were changes in the tax and transfer system, changes in the household structure (in particular the rising share of single parent households), and changes in other socio‐economic characteristics (e.g., age or education). We address the question of which factors were the main drivers of the observed inequality increase. Our results suggest that the largest part of the increase was due to increasing inequality in labor incomes, but that changes in employment outcomes and changes in the tax system also contributed considerable shares. By contrast, changes in household structures and household characteristics, as well as changes in the transfer system only seem to have played a minor role.     

Firm heterogeneity and aggregate business services exports: Micro evidence from Belgium,France, Germany and Spain

This paper uses detailed micro data on services exports at the firm–destination–service level to analyse the role of firm heterogeneity in shaping aggregate services exports in Belgium, France, Germany and Spain from 2003 to 2007. We decompose the level and the growth of aggregate services exports into different trade margins paying special attention to firm heterogeneity within countries. We find that the weak export growth of France is at least partly due to poor performance by small exporters. By contrast, small exporters are the most dynamic contributors to the aggregate exports of Belgium, Germany and Spain. Our results highlight the importance of firm heterogeneity in understanding aggregate export growth.     

The Covariance Structure of East and West German Incomes and its Implications for the Persistence of Poverty and Inequality

Abstract. Based on data from the German Socio-Economic Panel (GSOEP), this paper analyzes the dynamics of equivalent income in East and West Germany in the years following reunification. Special emphasis is given to the separation of permanent and transitory components, the persistence of transitory shocks and their implications for the persistence of poverty and inequality. The results suggest that in West Germany, between 52 and 69 per cent of cross-sectional income inequality was permanent, and that poor individuals stayed in poverty for two years on average. In East Germany, the share of the permanent component in overall income inequality rose continuously from 20 per cent in 1990 to 72 per cent in 1998, reaching a level near the one that prevailed in West Germany during the same period. The rising importance of time-invariant components in East German incomes was also reflected in expected poverty durations which slightly increased from 1.47 years in 1990 to 1.67 years in 1998.     

A framework for the decomposition of poverty differences with an application to poverty differences between countries

We propose an Oaxaca-Blinder-like decomposition of poverty differences. The decomposition is based on a parametric model of the income distribution and can be used to decompose differences in poverty rates across countries or years. Poverty differences are decomposed into differences in the underlying distribution of poverty-relevant characteristics and differences in the incidence of poverty conditional on these characteristics. We illustrate our method by comparing levels and patterns of relative poverty in the USA, Great Britain and Germany during the 1990s. Our results suggest that the higher aggregate poverty rates in the USA and in Britain relative to Germany were mostly accounted for by higher poverty rates conditional on characteristics, which were partly offset by a more favourable distribution of poverty-relevant characteristics, in particular higher employment rates.This paper is part of the research programme of the TMR Network ‘Living Standards, Inequality and Taxation’. Financial support from the European Union (Contract #ERBFMRXCT980248), the UK Economic and Social Research Council, the University of Essex, and the Deutsche Forschungsgesellschaft (DFG) is gratefully acknowledged. The data used in this study were made available by Cornell University (Cross-National Equivalent File), the University of Michigan (Panel Study of Income Dynamics), the UK Data Archive (British Household Panel Survey), and the German Institute for Economic Research (German Socio-Economic Panel). Martin Biewen would like to thank the Institute for European Studies and the Department for Policy and Management at Cornell University, in particular Jonas Pontusson, Richard Burkhauser and Dean Lillard, for their hospitality and support. We are also grateful for comments by Bernd Fitzenberger, Joachim Winter, Christoph M. Schmidt, an anonymous referee and seminar participants in Essex, Heidelberg and Mannheim. Last but not least, we thank Nick Cox for providing us with updated versions of his Stata programs for drawing quantile plots.First version received: May 2003/Final version received: December: 2003