The Many Mexicos: Income Inequality and Polarization in Urban Mexico During the 90s * Mabel Andalón L. Center of Statistical Resources Presidency of Mexico and Luis F. López-Calva Universidad de las Américas-Puebla and El Colegio de México First version May, 2002 Do not quote Abstract The Zapatista revolt in the Mexican state of Chiapas in 1994, which started the same day in which the NAFTA was officially implemented in the North American Region, made clear the Mexico was not one homogeneous country, but one characterized by important differences in development across regions. This paper analyzes the evolution of income inequality and polarization in 34 urban areas grouped into regions with similar characteristics. The richer regions, North and Center, also show higher degrees of inequality and lower polarization. The most polarized region is the South, also the poorest. Even more interesting, the polarization between regions has increased during the nineties. This may explain, at least partially, the increasing level of conflict in the south and the tension between regions during the negotiation of federal budget decentralization. The polarization measures used are those developed by Foster and Wolfson (1993) and Wolfson (1994), Esteban and Ray (1994), Kanbur and Zhang (1999), Tsui and Wang (1998), and Esteban, Gradín and Ray (1999). It is shown that polarization measures provide information that inequality measures do not, adding important insights for the analysis of regional income dynamics. Despite the fact that total income inequality has decreased in Mexico during the nineties, other distributional dimensions open important policy questions. First, labor income inequality has increased, showing a skill bias after trade liberalization. Also, even though inequality is lower in the southern part of the country, polarization measures consistently show that the south has moved farther away from the rest of the country. Keywords : Mexico, Inequality, Polarization, Regional Development. JEL codes: * Version prepared for the Cornell-LSE-WIDER Conference on Spatial Inequality, London, June 28, 29, and 30th , 2002. I. Introduction: The Many Mexicos The Zapatista revolt in the Mexican state of Chiapas in 1994, which started the same day in which the NAFTA was officially implemented in the North-American trade block, made clear that Mexico was not one homogeneous country, but one characterized by important differences in development across regions. Historically, Mexico has been characterized by the coexistence of highly competitive, outward-oriented industrial sectors, and backward agricultural, poorly developed regions. Somehow public policy decisions and the political economy behind them has not promoted stronger linkages between those sectors and regions. This paper analyzes the evolution of income inequality and polarization in the Mexican urban areas grouped into regions with similar characteristics. During the late eighties and the nineties, Mexico went through a process of structural reform which included privatization of state-owned enterprises, trade liberalization, and decentralization of fiscal expenditures. The macroeconomic results have been overall positive, though in 1994 a major financial crisis brought the process to a halt. Mexican GDP fell 6.5% and inflation reached 52% during 1995. The recovery, however, was relatively fast (graph 1). As opposed to the debt crisis of the eighties, in which Mexico was still a closed economy with heavy state intervention, the recovery of positive growth rates took only 15 months, instead of several years. Graph 1 Annual Growth Rate, GDP (1994=100) Debt crisis 1994 crisis 15 5 0 -5 -10 -15 Years 2000 1998 1996 1994 1992 1990 1988 1986 1984 1982 -20 1980 Percentage 10 Overall inequality in the country, considering either total income or total expenditures, has shown a slightly downward trend during the period (graph 2 and table 1). Inequality in Mexico 1989-2000 0.6 0.55 0.5 Ingreso Gini Ingreso Theil 0.45 Gasto Gini Gasto Theil 0.4 0.35 0.3 1 2 3 4 5 6 Source: Own calculations using data from the Income -Expenditure Surveys. This paper will show that such trend is not sustained when we take only labor income in urban areas (table 2). Several papers have shown that the skill premium in Mexico rose after trade liberalization, causing an increase in labor income inequality during the nineties (World Bank, 2000, Hanson, 2002). The question analyzed here, however, is whether the reform process during that period has also an impact on the regional inequality and polarization pattern, as has been stated by analysts who suggest that this phenomenon would be the main cause of the political problems in the southern states, mainly the states of Chiapas and Guerrero (De La Torre, 1996). Poverty, on the other hand, stayed basically constant between 1992 and 2000, mainly because of the increase in the FGT index after the 1995 crisis, which was not offset by the recovery of economic growth in the following years. Year Poverty Gap FGT(2) Index Moderate Extreme Moderate Extreme 1992 42.1 32.0 22.9 14.7 1994 41.3 32.3 22.3 14.7 1996 47.3 36.5 27.9 18.3 1998 47.3 39.0 28.3 20.6 2000 43.2 34.0 24.1 16.6 Source: Authors´calculations from household survey data. In this paper we analyze the trends in regional income differences, emphasizing the polarization and inequality between the southern part and the rest of the country. An important constraint to be considered in the analysis is that the income-expenditure survey in Mexico (ENIGH) does not allow for regional comparisons because it is statistically representative only to make inferences at the rural-urban level of disaggregation. That has forced us to use the Urban Employment Survey (ENEU), which is representative at the level of urban labor markets for between 33 and 43 different areas. Table 1 Inequality Using Total Income and Total Expenditure Year Income Gini Expenditure Theil Gini Theil 1989 0.515 0.584 0.452 0.389 1992 0.526 0.568 0.447 0.366 1994 0.498 0.493 0.431 0.346 1996 0.500 0.501 0.423 0.337 1998 0.524 0.567 0.438 0.360 2000 0.503 0.495 0.431 0.341 Table 2 Inequality Using only Labor Income Theil mean year Gini Theil log entropy deviation measure measure 1987 0.369 0.260 0.255 1988 0.395 0.380 0.289 1989 0.398 0.334 0.275 1992 0.442 0.448 0.341 1994 0.444 0.399 0.345 1996 0.469 0.458 0.385 1998 0.451 0.418 0.358 2000 0.441 0.389 0.341 If one takes the Human development Index by state in Mexico, the most developed entity is Mexico City, whose HDI compares with that of a rather dynamic European economy, namely, Ireland. The least developed region, however, is Chiapas, whose HDI is at the level of Albania, the poorest Eastern European country (Esquivel and Lopez-Calva, 2002). Such is the magnitude of the development gap within Mexico. The next section reviews briefly the polarization and inequality measures used in the paper. The third section reviews the evolution of regional inequality and polarization in Mexico during the nineties, whereas the fourth section looks at evidence of convergence since the sixties. Finally, we offer some conclusions and policy recommendatio ns. II. Brief Discussion on Inequality and Polarization Measures In this section we present a brief overview of the inequality and polarization measures used throughout the paper. This is especially useful in the case of the polarization measures, which are not as common as the inequality measures and whose discussion is scattered in the literature without any comprehensive analysis. II.1 Inequality Measures Labor income inequality is defined as the dispersion of salaries with respect to the mean. As it is well-known in the literature, inequality measures can be divided into two categories: normative and positive measures (Chakravarty and Majumdar, 2001). The former are indicators that take as a reference the notion of social welfare, for example, Atkinson’s measures. Positive measures, which will be used here, only require consistency with the Lorenz criteria. Examples of those measures are the Gini Coefficient and the Theil Index. II.1.1 Gini Coefficient The Gini coefficient calculates the differences between all the pairs of individuals and adds them up. If the Gini coefficient is normalized, the expression can be written as: G = 1 µ N ( N − 1) ∑ ∑j i> j yi − y j (1) Where, µ Is the mean income of the distribution N is the number of observations yi , yj is the ith (jth ) income This index is more sensitive to transfers in the middle of the distribution. It is well known that when all the indiv iduals of the population share the same income µ, the Gini coefficient is equal to zero and there is no evidence of inequality in this distribution. The highest inequality occurs when there is one person that has income Nµ and everybody else has no income. Therefore, there are N-1 absolute differences each one equal to Nµ, (The Gini coefficient is equal to one). Deaton (1997) has proposed another expression to be used for big samples. It is expressed as follows: N N +1 2 G= − ∑ ρi yi N − 1 N ( N − 1)µ i =1 Where , (2) ρi is the range of the ith individual in the distribution. The richest person gets a range equal to one meanwhile the poorest gets a range of n. The latter is the Gini formulation used in this paper. II.1.2 Theil Index When the parameter c of the generalized entropy index is equal to 1 or 0, we have the Theil index. For the natural logarithm of incomes it is expressed as: 1 N y y TH = ∑ i ln i N i=1 µ µ ( 3) Where, N is the population yi is the ith income µ Is the mean income of the population Just as a reminder, the upper bound of the Theil index rises as N does. The main advantage of this measure is that when the individuals are clustered in different groups it can be decomposed into their “between” and “within” components. 1 This index allows us to identify the contribution of different components to total inequality. II. 2 Polarization Measures II.2.1 Esteban and Ray (1994) Measure The concept of polarization has to do with the weakening of the middle class. Several measures have been proposed thus far, all of them trying to capture the concept in a more robust manner. Most of the indices proposed are positive. The polarization measure proposed by Esteban and Ray (1994) (ER hereafter) has a more normative flavor to it, for it claims to capture some behavioral implications through the axiomatic derivation. The idea starts by defining “effective antagonism” of the society, based on the addition of two behavioral functions: identification and alienation. The first is an attitude towards the people of the same group or income class. Polarization rises as within-group homogeneity, given that in Esteban and Ray (1994) the identification is an increasing function of the number of individuals in each group. The other effect, alienation, is what a person feels for somebody who is “far away” in the distribution. Polarization rises when the heterogeneity among groups rises. Indeed, their axioms 1 Such decomposition is only possible in the case of the Gini coefficient when the income of those groups do not overlap. imply that regressive transfers which cross the median of the distribution increase polarization, whereas it decreases if progressive transfers take place in each half of the distribution, divided by the median. The latter principle would be also captured, in a simpler manner, by Foster and Wolfson (1992). The main principle s in which the axioms of Esteban and Ray’s measure are based are as follows: 1. The polarization rises when an extreme class gets away from the central class only if the other extreme does not get any closer. The polarization rises when the heterogeneity between groups rises. 2. When the middle class gains mass polarization declines. 3. Maximum polarization is obtained when the distribution is partitioned into two internally homogeneous groups, each one with half of the population, located at the extreme of the distribution. The polarization measure obtained from Esteban and Ray is expressed in equation 4: ki kj ER = A∑∑ f ( y i )1+α f ( y j ) y i − y j ( 4) i =1 j =1 Where, A is a normalization scalar k is the number of groups f(y i) represents the population share of the ith group y i ,j is the natural logarithm of the mean income of the ith (jth) α Is the degree of polarization sensitivity an is in the range of [1,1.6] A and α are determined arbitrarily. The greater the value of α the greater deviation of the ER index from the Gini coefficient because the concentration of the groups becomes more important. When α=0, ER is equal to the Gini coefficient except for the income transformation used (natural logarithm). Using this measure, polarization is based on the distance between the mean income of the groups, the size of the clusters, and the degree of sensitivity to polarization. II.2.2 Extension in Esteban, Gradín and Ray (1999) Esteban, Gradin , and Ray (1999) proposed and extension of the original ER measure (EGR hereafter). The extension deals with the following problems of the ER measure: 1. Sensitivity to the formation of groups, which almost always depends on the availability of the data. 2. Lack of cross identification between groups (there is no identification between individuals of different groups although they can be located together on the distribution). 3. Also, when the size of each group is normalized, i.e. when we use deciles as groups, the α parameter is neutralized. The new measure is the ER measure corrected by an error term based on grouping. EGR has the same advantages of ER but it is used when a density function of the income distribution can be previously calculated. An F distribution composed by k groups is assumed. A simplified representation of F is set as the partition ρ=(zo , z1, z2 ,...,zk ; y 1 , y 2 ,... , y k ; p1 ,p2 ,...,pk) which delimits k groups. The ith group is defined as a proportion p j of individuals. Their salary is in the [zi-1,zi] interval, with y i as mean salary. When ρ is used to represent F an approximation error emerges, ε(F;ρ). The error is defined as the income dispersion degree in groups measured with the Gini Coefficient.2 : ε (F ; ρ ) = G( F ) − G( ρ ) ( 5) Where, G(F) is the Gini coefficient G(ρ) is the Gini coefficient assuming that all the groups are internally homogeneous Thus, the error term is the difference between inequality in the society and a hypothetical inequality that would result by assuming that the individuals within each group all have the mean income of the cluster. The error term can be interpreted as the lack of internal identification. The 2 An approximation error exists because, when we form income classes, it is impossible to have individuals totally identified (alienated) with others of the same (different) class. greater the internal dispersion in a group, the less the identification and, in turn, the lower the polarization. The EGR measure calculates the polarization of the F distribution as follows: EGR( F ;α , β , ρ ) = ER (α , ρ ) − βε (F , ρ ) (6) Where, β Represents the lack of internal identification ER represents the Esteban and Ray (1994) measure applied in ρ. The EGR index has a maximum value of two and a minimum value that is not less than -β. It depends on the ρ chosen, as well as on β itself. II.2.3 Foster and Wolfson´s measure Foster and Wolfson (1992) and Wolfson (1994) proposed a polarization index (W) while discussing the conceptual differences between polarization and inequa lity. The proposed measure is as follows: W = 2(2T − Gini) mtan ( 7) Where, T = 0.5 − L( 0.5) (8) L(0.5) is the income share of the bottom half of the population (the population is divided into two groups based on median income), and mtan is the ratio of the median to the mean. Wolfson (1994) normalizes the index arbitrarily so that it takes values between 0 and 1. Graph 1 shows the intuition. The light gray area is the polarization index, once normalized. Graph 1 Figure 1 Wolfson’s Measure Esteban, Gradín and Ray (1999) note that the Foster and Wolfson´s measure is a transformation of the EGR index if the adjacent groups are of the same size. An alternative way of expressing W according to Zhang y Kanbur (1999) is: 2 (µ * − µ L ) W = m (9) where, µ* Is the corrected mean income: µ multiplied by (1-Gini), µ L is the mean income of the first half of the population, m is the median of the population. Maximum polarization would thus occur when half the population has zero income and the other half has twice the mean. II.2.4 Tsui and Wang (1998) Measure Tsui and Wang (1998) generalized a new class of indices based on the Wolfson measure. They use the two axioms of the partial ordering: increasing in the polarization and increasing on the spread. Their measure is expressed as: y −m θ k TW = ∑ f ( y j ) j m N j =1 r (10) Where, y j Is the mean income of ith (jth ) group, θ Is a positive scalar, N is the total population, k is the number of groups, f(y j) is the population share in the jth group, m is the median income, r is a coefficient in the range of (0,1). II.2.5 The index of Zhang and Kanbur Zhang and Kanbur (1999) suggested a new way to look at polarization and applied it to the evolution of regional disparities in China, mainly between inland and coastal areas. One of the main motivations to propose a new index was the fact that the most popular polarization indices moved very closely with inequality indicators. They considered a different way of thinking about polarization, arguing that this new way of measurement came closer to capturing the spirit of many of the concerns on this area. This index (ZK hereafter) is based on the decomposition of the inequality measures, specifically the Theil Index, discussed above. On the expressions below the Theil index is presented as a function of its components. k k T = T B + T w = ∑ Pj R j ln R j + ∑ Pj R j T j j =1 (11) j =1 n 1 j yi y T j = ∑ ln i n j i =1 µ j µ j (12) where T B Represents the inequality between groups which indicates the distance between their mean value, T w is the intra-group component, it means, the spread of the sub-group distributions k is the number of groups, each one with n j individuals j=1...k , Pj is the population share in each group pj =nj /n, Rj is the ratio of the mean income of each group to the distribution mean income Rj = µj /µ, Yi is the individual income, and µj is the mean income of each group. The polarization index of Zhang and Kanbur (1999) is the ratio of inter-group inequality to intra-group inequality. It captures the average distance between the groups in relation to income differences seen within groups. TB ZK = Tw (13) One problem with this index is its variability. The fact that between inequality components tend to be relatively stable, while within components vary widely, makes the index very unstable. In principle, the ZK index is more suitable for regional polarization in cases where the between component is more important. III. Mexico During the 90s Mexico went through a deep structural reform process during the nineties. Privatization, trade opening, financial liberalization, and the elimination of community-property schemes in the rural sector are among the main components of such reform. The process was a result of important political changes and led to political adjustments between groups, transforming the configuration of the political forces in Mexico (Esquivel and Tornell, 1998). In January 1994 a new guerrilla movement in Chiapas forced the government and public opinion to re-focus some policy priorities towards the southern part of Mexico, the least developed region of the country. An imperfect, though objective, indicator of development, namely the HDI, shows an enormous difference in development between the northern, central, and southern parts of Mexico (see annex 1). Arguably, the latter differences are not the result of the reform process, but the secular result of differentiated policies in terms of public services provision and pricing, educational policies, local politic s, ethnic differences, and historical factors. Given those initial conditions in the early nineties, a relevant question is whether the new development strategy proposed during the nineties considered such differences in order to promote the strengthening of the linkages between sectors and regions in order to narrow the development gap in the country. In order to answer the question, we use labor income data for more than thirty urban areas throughout Mexico. The main reason to use labor data from the urban employment survey, instead of total income or expenditure data from the income-expenditure survey, is the impossibility to divide the country into regions in a statistically valid manner in the latter. On the other hand, Hanson (2002), Lustig (2000), and others have shown that labor income inequality is an important component of total inequality in Mexico and is directly linked to the reform process. The gap between skilled and unskilled wages has increased during the last decade in Mexico (see graph 2). Also, regional differences in investment and growth are related to transport costs, poor infrastructure development, and educational levels (Davila, et. al., 2002). Graph 2 Index (1984 = 100) Unskilled Skilled 130 120 110 100 90 80 70 19 19 90 84 Source: Lustig (1998). For the purpose of this study, the urban areas are grouped into five regions as shown in table 3. Table 3 Regions South-Southeast 8 Mérida 11 Orizaba 12 Veracruz Central Region 1 Mexico 4 Puebla Central-Western 2 Guadalajara 5 León 7 San Luis Potosí Nothwest 21 Tijuana 1990 13 Acapulco 18 Villahermosa 19 Tuxtla Gutiérrez 1994 28 Campeche 30 Coatzacoalcos 31 Oaxaca 16 Toluca 29 Cuernavaca 1998 41 Cancún 39 Tlaxcala 43 Pachuca 42 Cd. del Cármen 2000 14 Aguascalientes 15 Morelia 27 Tepic 32 Zacatecas 33 Colima 34 Manzanillo 36 Querétaro 37 Celaya 38 Irapuato 24 Culiacán 25 Hermosillo Northeast 3 Monterrey 6 Torreón 9 Chihuahua 10 Tampico 20 Ciudad Juárez 22 Matamoros 23 Nuevo Laredo 17 Saltillo 26 Durango 35 Monclova 40 La Paz 44 Mexicali 45 Salamanca In order to analyze the changes in the regional development patterns, as measured by regional disparities, we look at overall, inequality in the south versus inequality in the rest of the country, between and within components across regions, and polarization measures. A first interesting result is the fact that overall inequality, using both the Gini and Theil indices, is higher in the rest of the country when compared to the southern part of the country. The common belief has been that the southern part is typically more unequal, which is not the case in terms of labor income, according to the data. It is important to mention that such labor income includes some workers reporting income from agricultural activities, though they live in urban areas. Graph 3 Inequality in Mexico 0.49 0.47 0.45 0.43 0.41 Gini Rest 0.39 Gini SS Theil Rest 0.37 Theil SS 0.35 1990 1994 1998 2000 Also, as seen in the graph, the southern part is the only one with a decreasing trend between 1998 and 2000. Systematically, within inequality is the one driving the trend of overall inequality (Table 5). Taking, however, different measures of polarization, all of them show an increase in polarization when one takes two groups: southern region versus the rest of the country. Polarization, indeed, also increased for the overall distribution (Tables 6 and 7). Previous literature has emphasized the trends in inequality between groups of different skills. Also, there has been work on the inequality trends between rural and urban sectors. Here, we want to call the attention to a different dimension: regional trends in polarization, whic h demand policies that consider the strengthening of linkages across regions. Not surprisingly, the southern part of the country is the one also showing the highest indices of conflict: strikes, guerrilla, post-election struggles, and dissident groups within the national teachers union. IV. Secular Convergence According to Hanson and Harrison (1999), during the 1980s in Mexico the wage gap between skilled and unskilled workers widened. The authors assess the extent to which this increased wage inequality was associated with Mexico’s sweeping trade reform in 1985. Examining data on 2,354 Mexican manufacturing plants for 1984-90 and Mexican Industrial Census data for 1965-88, they find that the reduction in tariff protection in 1985 disproportionately affected lowskilled industries. Goods from that sector, the authors suggest, may have fallen in price because of increased competition from economies with reserves of cheap unskilled labor larger than Mexico’s. The consequent increase in the relative pric e of skill-intensive goods could explain the increase in wage inequality. The authors discuss the fact that regional differences in income have not been followed by migration flows, which prevent regional income differences from falling. There is, however, robust evidence in terms of convergence in human development across states in Mexico. The interesting result is that convergence in income across states is relatively weak (Esquivel, 1999). When one runs the same convergence regression in human development index, incorporating schooling and health indicators, the evidence of long-run convergence is robust (see graph 4). Also, the coefficient of variation of the HDI between 1950 and 2000 has decreased monotonically. Taking, however, the HDI of the southern part and comparing it with a weighted HDI for the other states, the pace of convergence is about a third of overall convergence. That is, the south has been slow in catching up with the rest of the country. All this notwithstanding, from the conclusion of convergence in HDI important implications for federal interventions can be derived: education and health policies have been historically controlled by the federal government and have had a progressive effect in regional development. Given the evidence in Harrison and Hanson (1992) and Hanson (2002), one of the key obstacles for the southern regions to improve their income possibilities and catch up is the level and quality of schooling. Graph 4 HDI Growth Rate 1940-2000 Convergence in Human Development 3.50 3.00 2.50 2.00 1.50 1.00 2 R = 0.9511 0.50 0.00 0.00 0.10 0.20 0.30 0.40 HDI 1940 0.50 0.60 0.70 Graph 5 Coefficient of Variation, HDI 1950-2000 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 1950 1960 1970 1980 1990 1995 2000 The analysis of the potential explanations for the increase in regional polarization in Mexico leads us to the conclusion that the process is multidimensional. In order to understand such process, the microeconomic analysis based on the “assets approach” is useful. A household´s income generation capability at time t is given by: IGC = ∑i =1 n ∑ k j =1 Aij γ ij wij + ∑i =1 Ti n Where IGC stands for the income generation capability of the household, n is the number of family members, k is the number of assets, Aij is the endowment of asset j owned by member i, γ ij is the intensity of use agent i makes of asset j, and wij is the price individual i can get in the market from selling one unit of asset j. Finally, Ti are the transfers received by member i. Let us consider, within this framework, two assets: education and health. The prices paid for the combination of such assets, which determine productivity, is just the hourly wage for certain level of skills. Two measures of the intensity of use of the asset are participation in the labor market and average hours worked. Education and health indicators are considerably lower in the southern region when compared to other regions and the rest of the country in general. Prices paid, i.e., wages, are also lower, on average, for similar characteristics. Participation of women in the labor market is 40% lower in the south when compared to the rest of the country, though participation of men is about the same. Average hours worked are slightly higher in the southern region, on average. The hypothesis in the literature is that, given lower wages, poor workers have to work longer hours to obtain subsistence incomes, which results in a positively-sloped labor supply curve below subsistence levels (Hernandez-Licona, 2001). The latter distributional features of the southern region explain why the overall distribution of income has polarized regionally between the southern part and the rest. The same framework is helpful to derive certain policy implications: improve provision of education and health, and promote investment in the region. In terms of the former, inducing the demand for services is as important as the supply side, using programs like PROGRESA (conditional cash transfers). The latter cannot be achieved without creating conditions for profitable investment in the region: infrastructure and credible government. Also, a policy to enhance people ´s migration capabilities can be helpful to redistribute opportunities. Final Remarks Despite the fact that total income inequality has decreased in Mexico during the nineties, other distributional dimensions open important policy questions. First, labor income inequality has increased, showing a skill bias after trade liberalization. Also, even though inequality is lower in the southern part of the country, polarization measures consistently show that the south has moved farther away from the rest of the country. Regional linkages seem to be weak and have not become stronger after the structural reform. However, there seems to be evidence of long-term convergence in human development, using a version of the HDI by states. Educational and health policies seem to be key in fostering a faster catch up of the south, as well as infrastructure investment. On the agenda in terms of further studying the causes and effects of regional polarization in Mexico, Andalon and Lopez-Calva (2001) show robust evidence of the impact of polarization on violent crime in urban Mexico. References Andalón, M. and Lopez-Calva, L. F. (2001), “Labor Income Inequality, Polarization, and Crime in Mexico”, mimeo, El Colegio de Mexico. Chakravarty, S. and M. Majumdar (2001), , AEP. Cowell, F. (1995). Measuring Inequality, Prentice Hall/Harvester. Cowell, F. y Champernowne, D (1998). Economic inequality and income distribution. Cambridge University Press. De la Torre, R. (1998). “Economic Polarisation and Governability in Mexico”. Mimeo, UIA-Santa Fe. Esquivel, G. and L. F. 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Wang (1998). “Polarization Ordering and New Classes of Polarization Indices”. Mimeo. Zhang, X. Y Kanbur, R (1999). “What Difference Do Polarization Measures Make? An Application to China”, mimeo, Cornell University. Table 4 All regions between 1990 and 2000 Region Year % Population Mean Real Income (pesos) % of Total National Income Log Income Gini Theil Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste 2000 2000 2000 2000 2000 1998 1998 1998 1998 1998 1994 1994 1994 1994 1994 1990 1990 1990 1990 1990 5.29% 55.41% 14.91% 3.54% 20.84% 5.32% 56.80% 14.11% 3.39% 20.38% 5.20% 57.42% 13.87% 2.96% 20.55% 5.50% 56.67% 15.04% 2.59% 20.20% 522.941 620.183 564.138 1036.471 731.514 479.591 548.093 482.900 866.606 610.824 609.179 682.896 590.107 806.388 726.401 503.338 559.520 520.244 1012.416 624.260 4.29% 53.31% 13.05% 5.70% 23.65% 4.56% 55.71% 12.19% 5.25% 22.28% 4.66% 57.77% 12.06% 3.52% 21.99% 4.81% 55.12% 13.60% 4.55% 21.92% 6.259 6.430 6.335 6.944 6.595 6.173 6.306 6.180 6.765 6.415 6.412 6.526 6.380 6.693 6.588 6.221 6.327 6.254 6.920 6.437 0.46364 0.50852 0.43798 0.43837 0.44481 0.46924 0.48744 0.45820 0.43333 0.44257 0.46723 0.50185 0.46077 0.41086 0.45720 0.44147 0.46647 0.43133 0.45173 0.44171 0.42461 0.53964 0.36546 0.36540 0.38710 0.42088 0.46938 0.43195 0.36650 0.37687 0.41108 0.51202 0.37451 0.32267 0.39587 0.38100 0.44413 0.38998 0.39583 0.38219 Source: own calculation using data from ENEU. Table 5 Constant regions throughout 1990-2000 Region Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste Sur sureste Centro País Centro Occidente Noroeste Noreste Year % Population Mean Real Income (pesos) % of Total National Income Log Income Gini Theil 2000 2000 10.71% 45.40% 545.060 608.886 9.20% 43.57% 6.301 6.412 0.45564 0.50998 0.39944 0.54506 2000 2000 2000 1998 1998 18.45% 6.75% 18.69% 10.85% 46.54% 576.285 886.875 714.566 501.116 538.046 16.76% 9.44% 21.05% 9.85% 45.35% 6.357 6.788 6.572 6.217 6.288 0.42569 0.41992 0.44267 0.47112 0.48776 0.34436 0.32578 0.38048 0.42996 0.47105 1998 1998 1998 1994 1994 17.53% 6.71% 18.36% 9.91% 47.95% 488.360 771.905 599.179 591.970 680.473 15.50% 9.39% 19.92% 8.74% 48.62% 6.191 6.649 6.396 6.383 6.523 0.45800 0.38911 0.43889 0.46903 0.50151 0.44192 0.27945 0.37102 0.41183 0.51154 1994 1994 1994 1990 1990 17.55% 4.82% 19.77% 5.50% 56.67% 620.971 780.381 705.601 503.338 559.520 16.24% 5.60% 20.79% 4.81% 55.12% 6.431 6.660 6.559 6.221 6.327 0.45726 0.38150 0.45382 0.44147 0.46647 0.43154 0.26335 0.39094 0.38100 0.44413 1990 1990 1990 15.04% 2.59% 20.20% 520.244 1012.416 624.260 13.60% 4.55% 21.92% 6.254 6.920 6.437 0.43133 0.45173 0.44171 0.38998 0.39583 0.38219 Source: own calculation using data from ENEU. Table 5 Inequality Year 1990 1994 1998 2000 Gini 0.45907 0.47978 0.47248 0.47926 Theil 0.42612 0.45676 0.43794 0.45980 Polarization Extended Extended Esteban, Esteban and Esteban, Esteban and Gradín and Ray alpha Gradín and Tsui and Ray alpha 1 Ray alpha 1 1.5 Ray alpha 1.5 Wang 0.02502 -0.38458 0.01620 -0.39340 0.68994 0.01664 -0.42957 0.00958 -0.43662 0.73239 0.02529 -0.38987 0.01420 -0.40096 0.71810 0.02801 -0.38724 0.01551 -0.39974 0.72079 Zhang and Kanbur 0.01953 0.00469 0.01677 0.01877 Zhang and Kanbur (betw/(bet+with)) 0.01916 0.00466 0.01649 0.01842 FosterWolfson 0.38536 0.39312 0.41885 0.41322 Polarization Extended Extended Esteban, Esteban and Esteban, Esteban and Gradín and Ray alpha Gradín and Tsui and Ray alpha 1 Ray alpha 1 1.5 Ray alpha 1.5 Wang 0.02502 -0.38458 0.01620 -0.39340 0.68994 0.02078 -0.42665 0.01349 -0.43394 0.74378 0.02886 -0.39083 0.01869 -0.40100 0.71804 0.03433 -0.38405 0.02187 -0.39651 0.72654 Zhang and Kanbur 0.01953 0.00546 0.01681 0.02159 Zhang and Kanbur (betw/(bet+with)) 0.01916 0.00543 0.01653 0.02113 FosterWolfson 0.38536 0.39806 0.41519 0.39448 Constant regions 1990-2000 Inequality Year 1990 1994 1998 2000 Gini 0.45907 0.48246 0.47357 0.48361 Theil 0.42612 0.46450 0.44055 0.47115 Table 6 South vs. Rest Inequality Year 1990 1994 1998 2000 Gini 0.45907 0.48246 0.47357 0.48361 Theil 0.42612 0.46450 0.44055 0.47115 Esteban and Ray alpha 1 0.00732 0.00561 0.00810 0.01101 EGR α=1 -0.44488 -0.47153 -0.45794 -0.46261 Polarization Esteban and Ray alpha 1.5 EGR α=1.5 TW 0.00682 -0.44538 0.69871 0.00524 -0.47189 0.74719 0.00756 -0.45847 0.72642 0.01028 -0.46334 0.73710 Zhang and Kanbur 0.00111 0.00064 0.00134 0.00226 ZK 0.00111 0.00064 0.00134 0.00225 FW 0.38536 0.39806 0.41519 0.39448 Annex 1 Human Development Index by State 1940 1970 1990 2000 Aguascalientes 0.53 0.67 0.73 0.78 Baja California Norte 0.66 0.77 0.78 0.80 Baja California Sur 0.54 0.78 0.78 0.78 Campeche 0.33 0.58 0.87 0.84 Coahuila de Zaragoza 0.46 0.70 0.73 0.83 Colima 0.39 0.61 0.69 0.74 Chiapas 0.20 0.37 0.50 0.53 Chihuahua 0.49 0.71 0.76 0.83 Distrito Federal 0.58 0.82 0.89 0.93 Durango 0.50 0.64 0.69 0.72 Guanajuato 0.26 0.51 0.61 0.66 Guerrero 0.16 0.42 0.50 0.59 Hidalgo 0.25 0.44 0.58 0.68 Jalisco 0.35 0.65 0.71 0.75 México 0.24 0.63 0.70 0.70 Michoacán 0.23 0.49 0.56 0.62 Morelos 0.34 0.60 0.68 0.71 Nayarit 0.35 0.58 0.63 0.64 Nuevo León 0.50 0.81 0.85 0.87 Oaxaca 0.08 0.33 0.46 0.56 Human Development Index by State (cont.) Puebla 0.22 0.48 0.56 0.67 Querétaro 0.36 0.59 0.70 0.79 Quintana Roo 0.63 0.65 0.75 0.82 San Luis Potosí 0.28 0.54 0.65 0.69 Sinaloa 0.38 0.64 0.67 0.68 Sonora 0.45 0.74 0.76 0.81 Tabasco 0.22 0.53 0.65 0.64 Tamaulipas 0.49 0.70 0.72 0.78 Tlaxcala 0.28 0.46 0.57 0.63 Veracruz 0.31 0.55 0.61 0.64 Yucatán 0.43 0.58 0.63 0.68 Zacatecas 0.31 0.52 0.61 0.64 Max 0.66 0.82 0.89 0.93 Min 0.08 0.33 0.46 0.53 Source: Esquivel and López-Calva (2002).
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