Decomposition of differences in distribution using quantile regression

This paper proposes a semiparametric estimator of distribution functions in the presence of covariates. The method is based on the estimation of the conditional distribution by quantile regression. The conditional distribution is then integrated over the range of covariates. Counterfactual distributions can be estimated, allowing the decomposition of changes in distribution into three factors: coefficients, covariates and residuals. Sources of changes in wage inequality in the USA between 1973 and 1989 are examined. Unlike most of the literature, we find that residuals account for only 20% of the explosion of inequality in the 80s.     

Returns to Skills and the Distribution of Wages: Spain 1995–2010

In contrast to the pattern observed in other developed countries, the Spanish wage distribution compressed between 1995 and 2006 and became more disperse afterwards, so that in 2010 wage inequality was roughly similar to 1995. In this paper, we analyze the role of supply and demand factors when accounting for these facts. We start by decomposing observed wage changes into changes in the composition of the labour force and changes in the returns of workers' and jobs' characteristics. The results indicate that the compression of the wage distribution between 1995 and 2006 is largely explained by changes in returns, and particularly, by a decrease in the returns to education. We show that both the increase in the supply of high‐skilled workers and the increasing weight of low‐skilled occupations are related to the decreasing trend in the skill premium over this period. In contrast, the widening of the wage distribution after 2006 is largely explained by an increase in the relative demand for high‐skilled workers generating an increase in the school premium.     

Men's wage inequality in Serbia's transition

Wage inequality is considered to have been quite compressed in socialist economies. In this paper I analyse how men's wage inequality has changed during the period of transition to a market economy in Serbia, a country which has experienced a particularly dramatic transition. Changes in the distribution of earnings are examined using the Lemieux (2002) decomposition methodology and five annual Labour Force Surveys (2001–2005). I find that the change in wage inequality is mostly driven by changes in wage premiums, while the effect of changes in the composition of the labour force is very small. Isolating the effect of the emerging private sector reveals that changes in the private sector size and wage premium account for an average 25 per cent of the changes in inequality during this period. Moreover, the minimum wage is found to exert a dampening effect on wage inequality.     

Convergence of public and private enterprise wages in a transition economy: Evidence from a distributional decomposition in Vietnam, 2002–2014

We examine the transition of state-owned enterprises (SOEs) in Vietnam during the period 2002–2014 from a wage perspective by decomposing the differences in wage distributions between SOE employees and non-SOE employees. Although SOE employees received higher pay in 2002 because of differences in the characteristics and residuals, the differences in coefficients were minimal along the wage distribution during 2002–2014. The differences in characteristics decreased over time in the middle and middle-to-high wage distribution groups. University graduates were the main contributor to the difference in endowments. By 2014, the residuals difference vanished and the pay schemes between SOEs and non-SOEs converged.     

Rising wage inequality,the decline of collective bargaining,and the gender wage gap

This paper investigates the increase in wage inequality, the decline in collective bargaining, and the evolution of the gender wage gap in West Germany between 2001 and 2006. Based on detailed linked employer–employee data, we show that wage inequality is rising strongly — driven not only by real wage increases at the top of the wage distribution, but also by real wage losses below the median. Coverage by collective wage bargaining plummets by 16.5 (19.1) percentage points for male (female) employees. Despite these changes, the gender wage gap remains almost constant, with some small gains for women at the bottom and at the top of the wage distribution. A sequential decomposition analysis using quantile regression shows that all workplace related effects (firm effects and bargaining effects) and coefficients for personal characteristics contribute strongly to the rise in wage inequality. Among these, the firm coefficients effect dominates, which is almost exclusively driven by wage differences within and between different industries. Labor demand or firm wage policy related effects contribute to an increase in the gender wage gap. Personal characteristics tend to reduce wage inequality for both males and females, as well as the gender wage gap.     

Gender wage gap: A semi-parametric approach with sample selection correction

Sizeable gender differences in employment rates are observed in many countries. Sample selection into the workforce might therefore be a relevant issue when estimating gender wage gaps. We propose a semi-parametric estimator of densities in the presence of covariates which incorporates sample selection. We describe a simulation algorithm to implement counterfactual comparisons of densities. The proposed methodology is used to investigate the gender wage gap in Italy. We find that, when sample selection is taken into account, the gender wage gap widens, especially at the bottom of the wage distribution.     

Marginal effects of public employment on unconditional distribution of wage income in China

This paper examines the marginal effects of an employment expansion in China’s public sector on the unconditional distribution of “wage income” using the unconditional quantile estimation suggested by Firpo et al. (2009). Empirical data from the China Health and Nutrition Survey is split into three sub-samples to eliminate the effects of the Asian financial crisis in 1997 and the subprime financial crisis in 2008 on our empirical results. To explore the marginal effects, the empirical unconditional distributions of wage income “before” and “after” an expansion of the public employment have been graphed and compared. It has been found that an expansion of China’s public employment reduces the dispersion of wage income and hence alleviates income inequality in China. Besides, an expansion of public employment makes the symmetrical unconditional distribution of wage income become leftward skewed. Given these findings, an expansion of the public employment caused by the strategy of “guojin mintui” could mitigate China’s income inequality.     

Isolating the Roles of Individual Covariates in Reweighting Estimation

A host of recent research has used reweighting methods to analyze the extent to which observable characteristics predict between‐group differences in the distribution of an outcome. Less attention has been paid to using reweighting methods to isolate the roles of individual covariates. We analyze two approaches that have been used in previous studies, and we propose a new approach that examines the role of one covariate while holding the marginal distribution of the other covariates constant. We illustrate the differences between the methods with a numerical example and an empirical analysis of black–white wage differentials among males. Copyright © 2015 John Wiley & Sons, Ltd.     

Wage claims in the British private sector: 1979–2003

Wage claims have been an important feature of British industrial relations during the postwar period. They help set the boundaries within which wage negotiations take place and provide an insight into the conduct of negotiations, especially during periods of change in industrial relations. Despite this, claims remain an underinvestigated area. This article provides a unique investigation of the dimensions of wage claims over a period of free collective bargaining. The number of wage claims declined along with unionisation but, over a period of economic turbulence, the conduct of British wage setting began to change. We examine data on claims and investigate the influences on changes in those claims over time. We find that external factors (inflation, unemployment and legislative control of unions) were more prominent in shaping the development of claims than changes in the composition of groups who continued to post claims.     

Skills and labour incomes: how unequal is Italy as part of the Southern European countries?

This paper performs a comparative investigation of the effects of the Great Recession on the labour market structure and wage inequality in certain countries in Southern Europe (Greece, Italy, Portugal, and Spain). By exploring the intensity of the decline of middle-skill jobs during the years 2005–2013, which makes it possible to sketch what the labour market structure has set for itself (i.e., job polarisation, upgrading or neither), the objective is to relate these changes to wage inequality and its leading determinants. Through the Recentered Influence Function regression of the Gini index on EU-SILC data, Italy is compared to each selected country in order to evaluate how much of the spatial inequality gap is accounted for by the endowment in employee characteristics (composition effect) rather than the capability of each country’s labour market to reward these characteristics (wage structure) and, second, to identify those factors that are quantitatively more significant in making differentials. In brief, Italy is less unequal than the other Southern European countries. A larger amount of its “inequality advantage” depends on the wage structure. That is, the capacity of the country’s labour market in rewarding individual endowments is more important than the ways in which they are distributed across space.     

Actual and counterfactual growth incidence and delta Lorenz curves: Estimation and inference

Different economic growth episodes display very different distributional characteristics, both across countries and over time. Growth is sometimes accompanied by rising and sometimes by falling inequality. Applied economists have come to rely on the growth incidence curve, which gives the quantile‐specific rate of income growth over a certain period, to describe these differences. This paper introduces a mean‐independent analogue, the delta Lorenz curve, which gives the cumulative change in income share up to each quantile. We also develop estimation and inference procedures for both functions of quantiles. We establish the limiting null distribution of the test statistics of interest for those functions, and propose resampling methods to implement inference in practice. The proposed methods are used to compare the growth processes in the USA and Brazil during 1995–2007. Although growth in the average real wages was disappointing in both countries, the distribution of that growth was markedly different. In the USA, wage growth was mediocre for the bottom 80% of the sample, but much more rapid for the top 20%. In Brazil, conversely, wage growth was rapid below the median, and negative at the top. Wage shares fell in the USA up to the 83rd percentile, and rose in Brazil up to the 65th percentile.     

Workplace heterogeneity and wage inequality in Denmark

Wage inequality is on the rise in most developed economies, and this phenomenon has fostered a growing body of research on its potential drivers. Using German data over the period 1985–2009, Card et al. (The Quarterly Journal of Economics 2013, 128(3), 967-1015) argue that rising workplace heterogeneity has contributed substantially to the rise in wage inequality. I revisit their findings in two ways. First, because the generalization of their findings remains an open question, I apply their methodological approach to Danish register data and test whether rising workplace heterogeneity explains a significant share of the rise in wage inequality in Denmark. I find that, contrary to Germany, workplace heterogeneity remained practically stable over time, and this pattern contributed slightly negatively to the rise in wage inequality. Second, I complement Card et al.'s (2013) methods with the variance decomposition exercise proposed by Song et al. (2019) to identify more precisely the sources of the rise in wage inequality in Denmark. Although the rise in wage inequality is partly a between-establishment phenomenon, I show that the strengthening of assortative matching patterns and the rising heterogeneity of workers within establishments are the main drivers of growing inequality.     

Wage inequality and the labor market impact of economic transformation: Croatia, 1970–2008

In this paper, we examine wage inequality and wage differentials in Croatia from 1970 to 2008 using two long aggregate time series on the distribution of income. We focus especially on changing income inequality related to educational and vocational attainment, changing income inequality within those groups, and how these two components of inequality were affected by the economic transformation from socialism to capitalism. We find that income inequality between groups rose moderately post-transformation, while overall inequality increased more sharply. This finding is consistent with a growing importance of individual rather than group productivity in labor market compensation, a change broadly consistent with the economic transformation of the Croatian labor market.     

Comparing probabilistic forecasts of the daily minimum and maximum temperature

Understanding changes in the frequency, severity, and seasonality of daily temperature extremes is important for public policy decisions regarding heat waves and cold snaps. A heat wave is sometimes defined in terms of both the daily minimum and maximum temperature, which necessitates the generation of forecasts of their joint distribution. In this paper, we develop time series models with the aim of providing insight and producing forecasts of the joint distribution that can challenge the accuracy of forecasts based on ensemble predictions from a numerical weather prediction model. We use ensemble model output statistics to recalibrate the raw ensemble predictions for the marginal distributions, with ensemble copula coupling used to capture the dependency between the marginal distributions. In terms of time series modelling, we consider a bivariate VARMA-MGARCH model. We use daily Spanish data recorded over a 65-year period, and find that, for the 5-year out-of-sample period, the recalibrated ensemble predictions outperform the time series models in terms of forecast accuracy.     

Permanent and transitory wages of British men, 1975–2001: year,age and cohort effects

We examine the mean and variance–covariance structure of log-wages over calendar time and the life cycle of British men, hereby controlling for birth cohort effects. We attribute the strong increase in mean log-wage during the 1980s and 1990s to a rise in mean log-wage with the year of birth. This rise is diminishing with the year of birth, which implies lower wage inequality between cohorts with the year of birth. Wage inequality has increased during the 1980s and early 1990s and remained fairly stable in the second half of the 1990s. The year effects, however, show increasing wage inequality up to 2001, mainly due to a strong rise in transitory wage inequality. Transitory wages are strongly correlated over time and an increase in transitory wage inequality therefore has highly persistent inequality consequences. The stable wage inequality in the second half of the 1990s is attributed to lower within-cohort wage inequality for the younger cohorts. The age effects show that permanent wage inequality increases with age, in particular up to age 30 and over age 50. Copyright © 2007 John Wiley & Sons, Ltd.     

De ontwikkeling van de inkomensongelijkheid gemeten volgens informatietheoretische maatstaven

Summary Some years ago Theil introduced new inequality measures, originating from information theory. He applied them 8.0. to income distributions in the United States. This inequality coefficient is - in contrast to Pareto's constant - based on the whole income distribution. Moreover, the inequality can be disaggregated into inequalities for groups of population. The numerical value of the inequality depends on the chosen class intervals; this may be inconvenient when making comparisons between countries, between different periods and the like. Hence we suggest an appropriate standardizing procedure. The inequality of income distributions has been calculated for the period 1950–1964 and a cornparison is made with Pmm's constant. The investigation relates to three groups of population: wage earners, self employed and others. A remark is made about between-province inequalities.     

Changes in urban inequality in Vietnam: 1992–1998

The urban inequality in Vietnam has declined in the 1990s. Using the regression-based decomposition methods [Fields, G.S., 2003. Accounting for income inequality and its change: a new method, with application to the distribution of earnings in the United States. In: Polachek, S.W. (Ed.), Worker Well Being and Public Policy, Research in Labor Economics, vol. 22. Elsevier, New Jersey, pp. 1–38; Yun, M.S., 2006. Earnings inequality in U.S., 1969–99: comparing inequality using earnings equations. Review of Income and Wealth 52, 127–144.], we identify the contributing factors and distinguish between changes of the inequality due to changing returns to characteristics and distribution of these characteristics. We find that the changing returns to regional factors and to physical assets are behind the decline in urban inequality. However, the decline hides adverse changes from human capital and unemployment. Policies to encourage regional labor market integration, improve the quality of and equal access to education are important to make the equal urban distribution sustainable in the new millennium.     

The distribution of changes in manufacturing employment and the impact of the minimum wage

That employment for workers in durable goods industries is more sensitive to the pace of economic activity than for non-durable goods employees is not a surprising result. What is noteworthy about the conclusions of this study, however, is the manner in which increases in the minimum wage have altered the distribution of employment and sensitivity to short-run changes in employment of production workers in manufacturing industries. By focusing on the distribution of employment and how that distribution changes over the cycle, estimates of some aspects of the impact of the minimum wage that have not previously been analyzed have been developed.The evidence indicates that increases in the minimum wage over the period 1947–1975 have had a significant impact on employment patterns. Minimum wage legislation has had the effect of decreasing the share of projected employment and increasing vulnerability to cyclical changes in employment for the group of workers most ‘marginal’ to the work force low-wage industry employees. Hence, as a result of increased minimum wages, low-wage industry employees are able to obtain fewer jobs during periods of normal employment growth and their jobs are less secure in the face of short-run employment variations.Minimum wage legislation has undoubtedly resulted in higher wages for some of the relatively-low-productivity workers who were able to obtain employment than these workers would have received in its absence. The cost in terms of lost employment opportunities and cyclical vulnerability of jobs, however, has apparently been borne most heavily by low-wage industry employees. The primary beneficiaries of the shifts in the pattern of employment shares occasioned by minimum wage increases were high-wage industry workers, particularly in the ordnance, food, tobacco, and petroleum industries.     

Measuring labor cost for productivity comparison

This paper presents measures of labor cost applicable when the wage and marginal product are not equal by period. The user cost of labor, an alternative to the wage, is the price of hiring the services of the worker per unit time. This user cost is dependent on the sequence of wages earned by a worker over a career, interest rates, and career length or eventual tenure. For the United States, 1963–1978, labor compensation shares based on the wage exceed those for the user cost. After 1978, the reverse obtains. The contribution of labor, and measured productivity performance is sensitive to the price of labor services.This paper was processed by M. Brown.