An Atkinson-Gini family of social evaluation functions

We investigate the properties of a family of social evaluation functions and inequality indices which merge the features of the family of Atkinson (1970) and S-Gini (Donaldson and Weymark (1980, 1983), Yitzhaki (1983) and Kakwani (1980)) indices. Income inequality aversion is captured by decreasing marginal utilities, and aversion to rank inequality is captured by rank-dependent ethical weights, thus providing an ethically-flexible dual basis for the assessment of inequality and equity. These ocial evaluation functions can be interpreted as average utility corrected for the illfare of relative deprivation. They can alternatively be understood as averages of altruistic well-being in a population. They moreover have a simple graphical interpretation.

Evaluacion del estado trofico de tres cuencas interiores de Cataluña (Foix, Besos y Llobregat) mediante la vegetacion acuatica: Aplicacion de un indice trofico de resolucion generica (IVAM)

Durante abril de 2005 se realizó una campaña de muestreo de la vegetación acuática macroscópica en las cuencas de los ríos Foix, Besòs y Llobregat, sumando un total de 68 estaciones de muestreo. El objetivo principal fue evaluar el estado trófico de dichas cuencas mediante el índice trófico generado en España denominado IVAM (Índice de Vegetación Acuática Macroscópica). Se identificaron un total de 44 táxones, 8 géneros de Cyanophyta, 5 de Rodophyta, 2 de Xantophyceae, 3 de Bacillariophyceae, 15 de Clorophyta, 8 de Spermatophyta, 1 liquen y 2 briófitos (musgos y hepáticas). La cuenca del Llobregat fue la más diversa (37 t´axones), seguida del Besós (33) y el Foix (25). Los táxones más frecuentes fueron Cladophora, Vaucheria, Oedogonium, Apium, Rorippa y Oscillatoria, además de los musgos. Las fanerógamas fueron escasas, destacando los g´eneros Ranunculus, Zannichellia y Potamogeton. Los táxones que alcanzaron una mayor puntuación del IVAM (valor de tolerancia, vt = 8), aunque poco frecuentes, fueron Ranunculus, Cymbella, Rivularia, Nostoc, Tolypothrix, Chroococcus y Lemanea, todos indicadores de aguas oligotr´oficas. En aguas de buena calidad pero algo eutrofizadas (aguas mesotróficas, vt = 6), los táxones más frecuentes fueron Chara, Monostroma y Hildenbrandia, además de las hepáticas y un liquen. Según la calificación de los tramos en clases de estado trófico realizada por el IVAM, el 38.2% de los tramos presentaron una buena calidad (clases I y II) mientras que el 61.8% presentaron un estado trófico alterado (clases III, IV y V). La respuesta del IVAM a la concentración de nutrientes (fosfato, amonio, nitrito y nitrato) fue siempre significativa, destacando la alta correlación alcanzada con el ión fosfato (r = 0.71, p < 0.001), superior a la alcanzada por otros índices de diatomeas y macrófitos de resolución taxonómica específica. Este hecho confirma la ventaja de utilizar el IVAM en la evaluación del estado trófico de los ríos, ya que sin necesidad de alcanzar un nivel taxonómico de especie se obtiene una respuesta adecuada a dicha perturbación.

Las riberas de los rios mediterraneos y su calidad: el uso del indice QBR

Se ha aplicado el QBR (índice de calidad del bosque de ribera) a 157 estaciones de muestreo localizadas en ríos pertenecientes a 12 cuencas diferentes del ámbito mediterráneo español. Los resultados indican que más del 34 % de las estaciones muestran valores de calidad buenos y muy buenos (QBR > 75), mientras que el 45 % presenta valores de mala y pésima calidad (QBR < 50). Según una tipología previa establecida para clasificar las estaciones de muestreo, los valores de mayor calidad de QBR se dan en estaciones de cabecera de cuencas calcáreas y en las zonas de karst. Los tipos denominados temporales y ramblas presentan los valores más bajos de calidad, o no tiene representantes de máxima calidad. La ausencia o escasez de bosques de riberas de máxima calidad en las cuencas del sur peninsular puede explicarse por el gradiente de aridez que se establece desde el norte hacia el sur. Además existe un evidente deterioro de las riberas desde las cabeceras a las desembocaduras de los ríos, de manera que ambos factores influyen en el estado actual de las riberas de los ríos mediterráneos ibéricos. Finalmente se discute la utilidad y limitaciones del QBR en ríos sometidos a situaciones de estrés hídrico o ambiental.

Classical horizontal inequity and reranking: an integrated approach

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have generated two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This is achieved using a measure of inequality that merges the well-known Gini coefficient and Atkinson indices, and that allows a decomposition of the total redistributive effect of taxes and transfers in a vertical equity effect and a loss of redistribution due to either classical HI or reranking. An inequality-change approach and a money-metric cost-of-inequality approach are developed. The latter approach makes aggregate classical HI decomposable across groups. As in recent work, equals are identified through a nonparametric estimation of the joint density of gross and net incomes. An illustration using Canadian data from 1981 to 1994 shows a substantial, and increasing, robust erosion of redistribution attributable both to classical HI and to reranking, but does not reveal which of reranking or classical HI is more important since this requires a judgement that is fundamentally normative in nature.

La Calidad de la correspondencia entre la especialidad de formación y especialidad de ocupación y el impacto en el mercado de trabajo en México

El punto de partida del análisis de la calidad de la correspondencia entre especialidad de formación y especialidad de ocupación es reconocer que existe una diferencia entre los jóvenes que están en la ocupación para la que fueron formados, y los que no son parte de esta situación, por tanto, el desempeño de los graduados es observado con el argumento de que una alta correspondencia entre la educación formal y la ocupación les genera mayor productividad y encuentran empleos mejor remunerados. La metodología utilizada ha sido aplicada por Béduwé et al. (2005) para el caso del mercado de trabajo francés, quienes analizaron la calidad de la correspondencia entre formación y ocupación de los jóvenes, a través de la observación empírica ex post, en un momento dado. La calidad de la correspondencia es medida a través de índices de Gini (IG), los cuales son incluidos como variables explicativas a la ecuación de salarios para observar el desempeño de los jóvenes en el mercado de trabajo. Los resultados mostraron que debido a la composición de la estructura del mercado laboral mexicano, los IG solamente explican el 17% de dicho mercado y la brecha de salarios entre los jóvenes que tienen correspondencia entre su formación y su empleo y los que no son parte de este caso es del 11,73% para el Índice de Gini de formación y del 13,73% para el Índice de Gini de ocupación

Linking conflict to inequality and polarization

In this paper we study a behavioral model of conflict that provides a basis for choosing certain indices of dispersion as indicators for conflict. We show that the (equilibrium) level of conflict can be expressed as an (approximate) linear function of the Gini coefficient, the Herfindahl-Hirschman fractionalization index, and a specific measure of polarization due to Esteban and Ray

Ethnicity and conflict : an empirical study

This paper examines the impact of ethnic divisions on conflict. The analysis relies on a theoretical model of conflict (Esteban and Ray, 2010) in which equilibrium conflict is shown to be accurately described by a linear function of just three distributional indices of ethnic diversity: the Gini coefficient, the Hirschman-Herfindahl fractionalization index, and a measure of polarization. Based on a dataset constructed by James Fearon and data from Ethnologue on ethno-linguistic groups and the "linguistic distances" between them, we compute the three distribution indices. Our results show that ethnic polarization is a highly significant correlate of conflict. Fractionalization is also significant in some of the statistical exercises, but the Gini coefficient never is. In particular, inter-group distances computed from language and embodied in polarization measures turn out to be extremely important correlates of ethnic conflict.

An ex-post view of inequality of opportunity in France and its regions

This paper proposes an ex-post measure of inequality of opportunity in France and its regions by assessing the inequality between individuals exerting the same effort. To this end, we define a fair income that fulfils ex-post equality of opportunity requirements. Unfairness is measured by an unfair Gini based on the distance between the actual income and the fair income. Our findings reveal that the measures of ex-post inequality of opportunity largely vary across regions, and that this is due to di_erences in reward schemes and in the impact of the non responsibility factors of income. We find that most regions have actual incomes closer to fair incomes than to average income, excepted Ile de France where the actual income looks poorly related to effort variables. Finally, we find that income inequality and inequality of opportunity are positively correlated among regions.

Globalization and wage inequality in South and East Asia, and Latin America: A gender approach

In this paper we analyse the reasons behind the evolution of the gender gap and wage inequality in South and East Asian and Latin American countries. Health human capital improvements, the exposure to free market openness and equal treatment enforcement laws seem to be the main exogenous variables affecting women s economic condition. During the second globalization era (in the years 1975-2000) different combinations of these variables in South East Asian and Latin American countries have had as a result the diminution of the gender gap. The main exception to this rule according to our data is China where economic reforms have been simultaneous to the increase of gender differences and inequality between men and women.This result has further normative consequences for the measure of economic inequality. Theimprovement of women s condition has as a result the diminution of the dispersion of wages.Therefore in most of the countries analysed the consequence of the diminution of the gender gapduring the second global era is the decrease of wage inequality both measured with Gini and Theil indexes.

The disturbing 'rise' of global income inequality

We use aggregate GDP data and within-country income shares for theperiod 1970-1998 to assign a level of income to each person in theworld. We then estimate the gaussian kernel density function for theworldwide distribution of income. We compute world poverty rates byintegrating the density function below the poverty lines. The $1/daypoverty rate has fallen from 20% to 5% over the last twenty five years.The $2/day rate has fallen from 44% to 18%. There are between 300 and500 million less poor people in 1998 than there were in the 70s.We estimate global income inequality using seven different popularindexes: the Gini coefficient, the variance of log-income, two ofAtkinson s indexes, the Mean Logarithmic Deviation, the Theil indexand the coefficient of variation. All indexes show a reduction in globalincome inequality between 1980 and 1998. We also find that most globaldisparities can be accounted for by across-country, not within-country,inequalities. Within-country disparities have increased slightly duringthe sample period, but not nearly enough to offset the substantialreduction in across-country disparities. The across-country reductionsin inequality are driven mainly, but not fully, by the large growth rateof the incomes of the 1.2 billion Chinese citizens. Unless Africa startsgrowing in the near future, we project that income inequalities willstart rising again. If Africa does not start growing, then China, India,the OECD and the rest of middle-income and rich countries diverge awayfrom it, and global inequality will rise. Thus, the aggregate GDP growthof the African continent should be the priority of anyone concerned withincreasing global income inequality.

Measuring the stability of histogram appearance when the anchor position is changed

Although the histogram is the most widely used density estimator, itis well--known that the appearance of a constructed histogram for a given binwidth can change markedly for different choices of anchor position. In thispaper we construct a stability index $G$ that assesses the potential changesin the appearance of histograms for a given data set and bin width as theanchor position changes. If a particular bin width choice leads to an unstableappearance, the arbitrary choice of any one anchor position is dangerous, anda different bin width should be considered. The index is based on the statisticalroughness of the histogram estimate. We show via Monte Carlo simulation thatdensities with more structure are more likely to lead to histograms withunstable appearance. In addition, ignoring the precision to which the datavalues are provided when choosing the bin width leads to instability. We provideseveral real data examples to illustrate the properties of $G$. Applicationsto other binned density estimators are also discussed.

Measurement and explanation of socioeconomic inequality in health with longitudinal data

This paper presents a method for the measurement of changes in health inequality and income-related health inequality over time in a population.For pure health inequality (as measured by the Gini coefficient) andincome-related health inequality (as measured by the concentration index),we show how measures derived from longitudinal data can be related tocross section Gini and concentration indices that have been typicallyreported in the literature to date, along with measures of health mobilityinspired by the literature on income mobility. We also show how thesemeasures of mobility can be usefully decomposed into the contributions ofdifferent covariates. We apply these methods to investigate the degree ofincome-related mobility in the GHQ measure of psychological well-being inthe first nine waves of the British Household Panel Survey (BHPS). Thisreveals that dynamics increase the absolute value of the concentrationindex of GHQ on income by 10%.

Some common indexes of group diversity: upper boundaries

Workgroup diversity can be conceptualized as variety, separation, or disparity. Thus, the proper operationalization of diversity depends on how a diversity dimension has been defined. Analytically, the minimal diversity must be obtained when there are no differences on an attribute among the members of a group, however maximal diversity has a different shape for each conceptualization of diversity. Previous work on diversity indexes indicated maximum values for variety (e.g., Blau"s index and Teachman"s index), separation (e.g., standard deviation and mean Euclidean distance), and disparity (e.g., coefficient of variation and the Gini coefficient of concentration), although these maximum values are not valid for all group characteristics (i.e., group size and group size parity) and attribute scales (i.e., number of categories). We demonstrate analytically appropriate upper boundaries for conditional diversity determined by some specific group characteristics, avoiding the bias related to absolute diversity. This will allow applied researchers to make better interpretations regarding the relationship between group diversity and group outcomes.

Correlación entre diversos cuestionarios de ansiedad y depresión

En nuestra práctica clínica observamos la insuficiencia de los cuestionarios como método diagnostico, especialmente cuando se trata de establecer diferencias cualitativas entre cuadros de angustia y depresión. Esta hipótesis se ha confirmado al realizar correlaciones entre 6 cuestionarios (tres de angustia y tres de depresión), que se administraron a 41 pacientes (28 angustiados y 13 depresivos) y observar el elevado indice de interrelaciones existentes entre ellos. Los pacientes depresivos tienden a puntuar alto, tanto en los cuestionarios de depresión como en los de angustia, mientras que los angustiados solo lo hacen en estos últimos.

Análisis de la concentración de los Fondos Estructurales por Comunidades Autónomas

En este trabajo se analiza la distribución en España de las ayudas estructurales comuni- tarias del FEDER por Comunidades Autónomas y para dos períodos quinquenales, el primero correspondiente a los años 1989-1993 y el segundo entre 1994 y 1999. En concreto se obtienen medidas de concentración para destacar las diferencias en el FEDER per capita asignado a las poblaciones elegibles por la Unión Europea. Los indicadores que se presentan derivan del diagrama de Lorenz. Por un lado, la superficie que separa la recta imaginaria de equidistribución de la curva es una buena medida de concentración de la variable, y por otro, en la misma representación surgen distancias de interés que reflejan la desigualdad en el reparto de los fondos FEDER per capita de la población asignada por los objetivos 1, 2 y 5b. Las curvas teóricas de concentración que se utilizan en este estudio (modelo de Kakwani-Podder, modelo de Kakwani y modelo de Gupta) se estiman a partir de los datos de la variable económica. Con las estimaciones se calculan las medidas de desigualdad que permitirán el cálculo cuantitativo de la concentración de los fondos comunitarios.