Structural Change and the Fall of Income Inequality in Latin America Agricultural Development , Inter-sectoral Duality , and the Kuznets Curve

Citation for published version (APA): Andersson, M., & Palacio, A. (2017). Structural Change and the Fall of Income Inequality in Latin America: Agricultural Development, Inter-sectoral Duality, and the Kuznets Curve. In L. Bertola, & J. Williamson (Eds.), Has Latin American Inequality Changed Direction: Looking Over the Long Run (pp. 365-386). Springer International Publishing. https://doi.org/10.1007/978-3-319-44621-9_15

(World Bank online); and income inequality in the last decade declined in 15 out of 16 countries with comparable data at a rate of 1.1 % per year (Lustig et al. 2013).
It has been advocated that the fall in income inequality in Latin America provides support for the Kuznets curve (Tsounta and Osueke 2014;Kanbur 2011). The most cited reasons for the improvement relate to policies and political changes over the last decades such as the expansion of elementary education, reduction of the skill-premium, cash transfer programs, and macroeconomic stability (Lustig et al. 2011;Cornia 2012). No doubt, redistributive policies and changes in social spending and legislation are regarded as important proximate causes for narrowing the income distribution and lend support to the notion that income distribution might follow the inverted U-shaped pattern. True, the rise of the income share of the lower segments of the nonagricultural population was already suggested by Kuznets (1965) to be the key for narrowing the income distribution, and studies indicate that this is what we have witnessed in Latin America over the recent decades (Tsounta and Osueke 2014). However, a complementary way to assess whether Latin America is moving downward on the Kuznets curve is to capture the deeper dynamics of structural change in the form of inter-sectoral inequalities. While overall labor productivity has improved only slowly, agricultural labor productivity growth has been more impressive, suggesting a potential for diminishing the long-standing urbanrural duality in the Latin American economies.
In this study we approach the recent decline in income inequality in Latin America from the perspective of structural change with a focus on the relative performance of the agricultural sector. Our focus is on the underlying forces implied by Kuznets (1965). We zoom in on the relative performance of agriculture in the development process and the rural-urban duality and pay particular attention to the last couple of decades in relation to the entire post-1950 period. We attempt to estimate empirically possible theoretical relations with regard to these patterns by posing the following basic questions: how does the resurgence of agriculture relate to the reduction of income inequality and to what extent is this an expression of Latin America moving downward on the Kuznets curve?
The literature on agriculture's relation to the recent changes of income distribution in Latin America is quite limited. For instance, in a recent ECLAC report titled "Structural change for equality" (2012), the role of agriculture is not even mentioned. By agriculture we mean both farming and agro-business that processes and transports that output. To our knowledge, this paper is the first attempt to investigate this relationship for the recent decades in the perspective of structural change in Latin America. There are strong theoretical reasons to connect agricultural development to income distribution. The closing of the rural-urban income gap reflects what Reynolds (1975) called a "dynamic" transformation of agriculture and relates to the contribution agriculture provides for overall growth of the economy. In addition, the elasticity of poverty reduction with respect to growth is estimated to be stronger when growth emanates in the agricultural sector (Ravallion and Chen 2007;De Janvry and Sadoulet 2009). Productivity growth in the lagging sector should also contribute to sectoral labor productivity to convergence and thus helps to reduce inequality (Timmer 1988). For these reasons, the resurgence of agriculture driven partly by improving commodity prices should be given due attention when assessing the decline in income inequality in Latin America. According to the logic of the Kuznets curve, the hypothesized "turning point" of the inverted U-curve is generated by a reduction of income inequality in one or both of the sectors and/or a reduction of the rural-urban income gap as the weight of the agricultural sector diminishes, and the income per capita gap between them declines.
We find that the recent decline in income inequality is related to the recent resurgence of Latin American agriculture, and, by inference, its lack of decline across most of the twentieth century must be related to a lack of productivity change in agriculture. We provide estimates showing that during the recent decades intersectoral duality has been reduced by agricultural productivity growth. The duality expressed as an inter-sectoral Gini shows the shape of an inverted U-curve and as such the closing of the rural-urban income gap corroborates with the theoretical expectations postulated by Kuznets. The wider implication of the study is, however, that with slower growth in agricultural labor productivity, continuing improvement in the income distribution becomes more difficult. In the absence of strong manufacturing growth, agriculture might be able to reduce income inequality further if agro-industries remain unskilled labor intensive, thus raising the opportunity cost of unskilled workers. On the other hand, the traditional service sector has perhaps become the "new agricultural sector" in terms of productivity and labor surplus. In other words, the source of the remaining dualism does not come only from rural areas, but also from urban areas.
In the next section, we relate the current agricultural resurgence to previous periods, in particular the so-called belle époque, and we discuss some possible differences between these periods. We then explore theoretically the structural relationship between agricultural development and income distribution. The subsequent sections contain the data and the methodology that we use for OLS (and fixed effects) regressions related to sectoral income inequality and a simple decomposition of agricultural labor productivity. We concluded with a summary of the main findings and the conclusions.

Commodity Export Booms, Land Inequality, and Development in Latin America
The economic history of Latin America indicates that commodity export booms and busts have been an important component of its development: in the nineteenth century sugar in Cuba and guano in Peru stand out, later nitrates in Chile, coffee in Colombia, Brazil, and Costa Rica, and in the twentieth century oil in Ecuador and Venezuela, just to mention a few cases (Bulmer-Thomas 1994). The export booms have indeed triggered growth spells, but no country in Latin America has experienced sustained structural transformation and industrialization (Sachs and Warner 1999;Bertola and Ocampo 2012).
The commodity export boom over the last decade seems to have been driven by demand from China and other emerging markets. Many Latin American countries such as Argentina, Brazil, Chile, Colombia, and Peru, among others, experienced a large increase in investment in land and agriculture (Borras et al. 2012) 1 in response to a rising terms of trade in spite of the sharp, but temporary, decline of prices during the 2009-2011 crisis (FAO 2014). The wave of rising terms of trade lasted 7 years compared to 3 years in past episodes in the 1970s and 1980s (Adler and Magud 2013), 2 and its timing coincided with the recent improvement of the income distribution in Latin America. Poverty and income inequality fell simultaneously in most countries of the region while other developing regions experienced the opposite (Lustig et al. 2011). In Latin America this stands in sharp contrast to the commodity boom period of the late nineteenth century. What might be different today in Latin America allowing improvements in the income distribution?
Land inequality has been regarded as one of the main historical determinants of the income distribution in Latin America (Engerman and Sokoloff 1997). Measured by Gini coefficients, land inequality has remained high over time and larger than income inequality (Solbrig 2006;Frankema 2009;World Development Report 2008). Likewise, estimates based on agricultural census data indicate that small farms in Latin America have less than 1 % of total land while the same statistics is around 15 % in East Asia and 55 % in sub-Saharan Africa (Anríquez and Bonomi 2007). Attempts to redistribute land have been many, but with varying degrees of success (Solbrig 2006). 3 The recent commodity boom has made land reforms less appealing because land prices went up with the recent large increase of land and agricultural investments in the region (Borras et al. 2012).
At the same time the impact of land distribution on income inequality is dependent on a variety of factors such as the weight of agriculture in the total economy and inter-sectoral linkages. The contribution of agriculture in total GDP and labor employment has been in relative decline. The manufacturing and service sectors depend less on land than does agriculture, and therefore labor has increased its share of total income.  provide evidence that 81 % of total income in the region comes from labor for the period 1992-2006. The remaining 19 % is nonlabor income, which includes income from capital, rents and profits, pensions, inter-household transfers and remittances, government transfers, and the implicit rent from owned property.
There are reasons to believe that the recent boom has provided more room to stimulate inter-sectoral linkages today than in previous episodes. During the socalled belle époque  the commodity boom enriched the landowning elite and marked a turning point upward in the evolution of income inequality in the region (Williamson 2010a). During the period increasing international demand and declining costs of transportation promoted the expansion of the export sector, but labor mobility was constrained by the residuals of slavery and encomienda systems, let alone the repression of organized labor and the impact of European immigration in the Southern cone (Frankema 2009;Kay 2001;Williamson 1999;Bulmer-Thomas 1994, p. 87;Bauer 1975). Not surprisingly, in a period of stable farm wages, the landowning elite and the holders of capital reaped bigger benefits, and income inequality rose during the period, arguably to Gini levels around 0.60 (Williamson 2010b;Bertola et al. 2008;Rodriquez Weber 2014).
The main difference between the recent boom and the belle époque might be that agriculture is not isolated anymore and that improved terms of trade has translated into higher value not only for land but also for rural labor. Since the 1960s, it seems as if the emergence of linkages between the rural and urban economies in the region became apparent with the massive reallocation of agricultural labor into other sectors of the economy. The positive impact on rural labor may also have been stimulated by the demand of more commodity processing and internal transport. While agricultural employment recorded negative growth rates as the sector shrank, nonagricultural employment in rural areas has been growing since the 1970s and continues doing so in the 1990s in Ecuador, Chile, Colombia, Costa Rica, Mexico, and elsewhere (Reardon et al. 2001;Haggblade et al. 2010). On average, 40 % of rural income in the late 1990s came from rural nonagricultural employment. Hence, there is reason to believe that an agricultural sector fuelled by improved terms of trade would today promote the expansion of the rural service sector. Indeed, low unemployment rate in the region has been driven by the service sector, which has employed an increasing number of workers, including the rural service sector (World Bank 2012).
In addition, the recent commodity boom is also related to the emergence of "flex crops." Flex crops include soya, sugarcane, oil palm, and corn, among others. Their main trait is the multiplicity of their uses (food, feed, fuel, industrial material), which can be interchanged (Da Silva et al. 2010). For instance, soya can be used for feed, food, and biodiesel. In other words, the reliance on few export products, which has been historically prevalent in the agricultural export sector of Latin America, makes their economies less vulnerable to price fluctuations when the final use can be altered. As an example, the area planted to soya in hectares has risen in Bolivia from 172,354 in 1990 to one million in 2009 (Urioste 2011). In short, technological development has allowed agriculture to diversify their risks even within a single crop sector (Borras et al. 2012).
Also, the urban bias has receded in most countries for domestic policy reasons. After the 1980s price distortions on tradable products fell and enabled producers to exploit economic opportunities (Eastwood and Lipton 2004). Brazil, Chile, Peru, and Mexico are good examples of the trend, where the new economic model allowed regional groups, which were less able to reap the benefits of their comparative advantages before, to benefit from positive changes in factor and product markets, and political disposition to invest in health, education, and infrastructure (Da Silva et al. 2010;David et al. 2000). The overall urban-rural income gap in the region fell from 2.5 in 2002 to 2.2 in 2006 (Gasparini et al. 2011b). Furthermore, even though there are few studies linking the role of agriculture in reducing poverty at the country level, recent estimates indicate that rural poverty fell more than urban poverty for the period 2005-2012 in every country (ECLAC 2014). However, there is some contrasting evidence that even though the floor has been lifted, the spatial gap in the human development index has remained stable (for Mexico, Campos-Vazquez et al. 2014).
In short, in the first decade of the twenty-first century we have witnessed one of the longest commodity price booms and the fall of income inequality in the region. The belle époque, however, marked the upswing of income inequality. The landed elite was the winner from the rising terms of trade and rural labor was excluded. While land was the main source of income in preindustrial Latin America, it remains highly concentrated as before, with land Ginis that go beyond 60 % in most countries. However, land has lost weight as the agricultural share of labor and GDP has fallen over time. Labor benefitted from the boom this time because labor markets are less segmented than they used to be, linkages between rural and urban activities have opened new job opportunities in the service and construction sectors, and safety nets and redistribution policies have protected people against income volatility. All these changes have an impact on the sectoral structure of the economy and therefore on wage inequality marking a turning point in the evolution of income inequality in the region.

Agricultural Productivity and the Kuznets Curve
It is almost a truism that a sustained increase in living standards requires increased productivity in the economy as a whole. Long-term gains in productivity imply structural change, which has been forcefully argued by Kuznets (1966), Syrquin (2006), and Timmer (2007). One of the major structural changes is the sectoral reallocation of labor into more productive sectors. However, less straightforward is the net effect of the different forces of structural change on income inequality. In this section we will present some of the theoretical and empirical avenues of how structural change, here mainly discussed in a two-sector perspective (agriculture and nonagriculture), affects income inequality. One of the reasons why agricultural development is relevant for inequality is the observation that the elasticity of poverty reduction with respect to growth is typically higher for agriculture than nonagriculture. Timmer, for instance, suggests that growth "originating in agriculture contributes to a more equal distribution of income" (2007: 60, drawing on the work of Kuznets 1955 andChenery andSyrquin 1975). Kuznets (1965Kuznets ( , 1966 argued that both reallocation of agricultural labor into more productive sectors constitute the major structural change in a developing economy, plausibly leading to long-term inter-sectoral convergence in productivity. The whole process has repercussions on the pattern of income distribution. According to the Kuznets-curve logic, in the initial stages of development the reallocation of agricultural labor into the nonagricultural sector reduces both the relative share of people employed in agriculture and its share of total GDP without any significant increase in agricultural productivity. As a result, the rural-urban income gap widens along with the urban intra-sectoral inequality. Later on, the productivity (or income) gap between sectors converges as the productivity in agriculture improves. When the inter-sectoral convergence gets stronger, and as labor mobility increases, the overall income distribution improves. By then, the absolute number of employed agriculture falls with rural-urban migration. The inequality is also strengthened by distributive policies and legislation following the increasing importance of the political voice of both urban and rural lower-income classes. This ideal model represents a dynamic transformation of agriculture as opposed to a static one. Agriculture is mostly driven by its productivity dynamics (Johnston and Mellor 1961). In the latter, agriculture is instead squeezed out of its resources and intersectoral linkages are weak (cf. Reynolds 1975).
The Kuznets hypothesis provides broad ideas for thinking about changes in the long run income distribution. In a two-sector economy, when the majority at first resides in the agricultural sector and the nonagricultural sector is small, average income per worker is low as is the variance of the income distribution. When people leave agriculture, the average per capita income in the agricultural sector may rise but since the more unequal sector will gain in relative importance the overall income distribution might become more widespread.
The overall income distribution is the net effect of intra-sector distribution, intersector income differences, and sector weights. In some cases, the process of structural change might create forces working in opposite directions. Yet structural changes in a two-sector model may increase inequality in five possible ways: (1) income inequality is increased in both sectors simultaneously; (2) income inequality is increased in the agricultural sector only; (3) income inequality is increased in the nonagricultural sector only; (4) a divergence of average income between the poor agricultural sector and the rich nonagricultural sector; or (5) shifting weights in the more unequal nonagricultural sector. Estimating such a complex socioeconomic process is difficult. However, given the resurgence of Latin American agriculture, we may address the inter-sectoral productivity differences and weights. It should be emphasized that Kuznets was very careful to discuss the caveats of his hypothesized inverted U-curve; that it was a historical-theoretical speculation rather than an established empirical law.
One way of relating the rise of agricultural productivity with the income distribution is suggested by Timmer (2004), who argues that the turning point of the Kuznets hypothesis can be also associated with the closing gap between the share of GDP and employment in agriculture. He has estimated the gap in a sample of eight Asian countries (Indonesia, Malaysia, the Philippines, Thailand, India, Pakistan, South Korea, and China) for the period 1960-2000 by using the "inter-sectoral Gini coefficient" as a proxy for the inequality of labor productivity (or income) between agriculture and nonagriculture. His results show that the inter-sectoral Gini is positively associated with the overall Gini and captures one-third of its variation, controlling for relative labor productivity, the GDP share of the service sector, savings, rice prices, and other variables.
Using evidence from 86 countries between 1965 and 2000, Timmer and Akkus (2008) show that the gap between the GDP and employment shares in agriculture does narrow with higher incomes and explains that this convergence is part of the structural change, reflecting better financial and labor markets. Furthermore, the agricultural productivity gap widens during the early stages of development and reaches a turning point at the per capita level of GDP above US 5063 in the year 2000, controlling for terms of trade, and US 9255 without controlling for them. The main implication of these findings is that agricultural price policy can be used to influence their domestic terms of trade, connect the agricultural labor to the rest of the economy, and thus reduce inequality.

Data and Methods
The aim here is to study the relationship between income inequality and agricultural development in nine Latin American countries: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Mexico, Peru, and Venezuela. These countries cover more than 82 % of the total GDP of LAC and more than 91 % of the population in 2012. The period covered 1950/1960-2010, which we divide into three subperiods that reflect alternative policy views: the import substitution (ISI) period between 1960 and 1975, the turmoil period between 1975 and 1995, and the agricultural resurgence/fall in income inequality period between 1995 and 2010.
We decompose aggregate labor productivity change to identify the contribution of agriculture relative to other sectors of the economy. Labor productivity is an indicator of real income per capita, and its change over time can be decomposed into sectoral productivity change and the reallocation between sectors. We follow the approach taken by Ocampo et al. (2009) and Roncolato and Kucera (2013). This can be expressed as follows: The sectoral productivity growth is the difference between the growth rate of sectoral value added g i and the growth rate of sectoral employment e i , weighted by the sectoral output share φ i0 . Sectoral productivity growth (within) reflects technological change and rates of investment. Sectoral reallocation is the difference between sectoral output share φ i0 and sectoral employment share λ i0 adjusted by the ratio of labor productivity multiplied by the growth rate of sectoral employment e i .
Reallocation is usually the most common term to capture structural change. However we view structural change as the interplay of both terms. We agree with the idea that reallocation of agricultural labor is indeed the major structural change in economic development, but realize that without increases in overall sectoral productivity reallocation might not contribute to growth as labor can end up in low productivity nonagricultural sectors.
To implement the decomposition, we use the Groningen Growth and Development Centre Data (GGDC) that contains data on sectoral value added and employment for nine Latin American countries. The data cover the period 1950-2010 for all countries, except Bolivia, Peru, and Venezuela. Their series start from the 1960s onward. We convert local currency value added at 1990 prices to dollars using 2005 deflators by sectors and exchange rates. Labor productivity is computed dividing sectoral value added by employment. 4 Note that unemployed people are not available in the GGDC data. We combine two of the original sectors (Government services and community, Social and personal services) into a single one, leaving the sample with nine sectors. The sectoral distribution and details on the sources of the data are available at the GGDC website.
The Gini coefficient is used as our measure of income distribution. We build on the work of Timmer (2004) to compute the inter-sectoral Gini from the share of the agricultural economy in overall economic activity in relation to its share of the labor force. Note that the inter-sectoral Gini is not the Gini of the agricultural sector, but the Gini coefficient of the agricultural sector compared with the nonagricultural sector. The inter-sectoral Gini coefficient should be positively related to the overall Gini coefficient.
The inter-sectoral Gini coefficient is computed as Inter sectoralGini agri agri agri agri agri p is the share of the labor force in agriculture, and S is its share of economy-wide income.

Gini constant Intersectoral Gini controls = + +
The Gini coefficient is the version 5.0 of the Solt 5 dataset that provides inequality measures for 153 developing and advanced countries for the period 1960-2010. The Gini coefficient we use as the dependent variable is the pre-fisc or market inequality 6 or inequality before taxes and transfers. The literature indicates that taxation 4 The sectoral distribution is composed of nine sectors: agriculture, hunting, forestry, fishing; mining; manufacturing; public utilities; construction; wholesale and retail trade, restaurants, hotels; transport, storage, communication; financial services, real estate, insurance; other services (community and personal and government services). 5 Solt (2014) produced the dataset of comparable series of Gini coefficient for net and market inequality. 6 Missing data is completed through linearized estimates, in particular for the 1960s and 1970s. policies in Latin America have little impact on market inequality (Goñi et al. 2008;ECLAC 2012). However, we use the difference between market and net (or postfisc) inequality to capture redistribution in the period 1995-2010. The latter period has been characterized by an expansion of redistribution schemes, including noncontributory pensions, health insurance, and cash transfers to the poor, which have been widely praised.
We also recognize that there are many forces acting upon the Gini. The first of them is the distribution and changes in value assets or wealth over time. They should be studied jointly with the income Gini because the distribution of wealth is the result of past income distributions and savings rates. Furthermore, there is evidence that on average aggregate savings grew more than in previous boom episodes, and that the public sector contributed more to savings than the private sector (Adler and Magud 2013). 7 In this line, we borrow the idea from Timmer (2004), who studies the inter-sectoral Gini in eight Asian countries, that gross domestic savings are a crude proxy of nonlabor income. Savings rate in the full sample range from 11 % of GDP in Bolivia to 21 % in Chile and 31 % in Venezuela (see descriptive statistics in the Appendix). Likewise, we examine the impact of the service sector GDP on the Gini coefficient. The decomposition literature indicates that agricultural labor is released mostly into the traditional service sector, where productivities are low, and in many cases informal.
We examine the hypothesis that increases in agricultural labor productivity has a direct impact on the inter-sectoral Gini through its inner components: land productivity and land/labor ratio. On one hand, the identity below captures increases in efficiency that relates to improvements in the agricultural production such as quality of crops, or use of fertilizer, but also other effects such as improvement in the organization of production or institutional changes. On the other hand, the identity accounts for changes in the resource endowments such as increases in relative abundance of land relative to labor that can impact income during a commodity boom, given that land frontier can be expanded and high yield technology can be used. We take the data of arable 8 and agricultural 9 land from the World Development Indicators. We use both datasets, but the results here are presented based on arable land alone. The estimates do not vary much.

Value added in agriculture Labor force in agriculture
Value added L = a and Land Laboŕ 7 Bolivia, Colombia, and Peru saved more out of the boom than the rest, while Chile and Brazil stand out on the other extreme with lower marginal saving rates. 8 Arable land defined by the FAO as land under temporary crops (double-cropped areas are counted once), temporary meadows for mowing or for pasture, land under market or kitchen gardens, and land temporarily fallow. Land abandoned as a result of shifting cultivation is excluded. 9 Agricultural land is the share of land area that is permanent pastures, arable, or under permanent crops. Permanent pasture is land used for 5 or more years for forage, including natural and cultivated crops.
Combining the GGDC data of agricultural value added and employment with the land data from the World Bank Indicators, we run an OLS regression with country and year dummies. All variables are logged, and land productivity and land-labor ratio are regressed on the inter-sectorial Gini. Finally, we contrast the results with the sectoral decomposition, which identifies sectoral productivity and reallocation.

Results
The first sign of an agricultural resurgence in Latin America was the rise in agricultural productivity relative to economy-wide productivity. The ratio has been growing at an unweighted average rate of 1.6 % per year for the period 1960-2010 but our results indicate that the period 1995-2010 accounts for 43 % of that impressive growth rate. 10 Some countries record a faster growth than others like Bolivia and Brazil in contrast with Chile and Costa Rica, but the gap between agriculture and nonagriculture was closing from 1995 to 2010 in every country in the sample. 11 Agriculture has indeed been no obstacle to growth during the last 50 years and an engine of growth during the last two decades. In Table 1 11 We examined the finding further by trying different specifications of the ratio such as manufacturing over agriculture, labor-intensive services over agriculture and even their marginal productivities, and excluding Argentina, whose agricultural productivity has been larger than the average in the economy and in the region. mid-1990s the agricultural contribution lies ahead that of manufacturing, with the exception of Argentina and Costa Rica. In other words, during the period 1995-2010 the agricultural sector has consistently contributed more than manufacturing to aggregate labor productivity in seven out of nine countries in the sample. We also confirm the pattern that traditional services such as wholesale retail and trade, hotels and restaurants reduce aggregate labor productivity while dynamic services such as financial services enhance it, but not to the same extent as agriculture. For instance, Chile is a country with low agricultural GDP (5 %) and employment (9 %) shares compared to other middle-income countries, but most of the decline in poverty seems to be attributed to agricultural productivity growth. Anríquez and López (2007) estimate the unskilled labor demand elasticity of agricultural output to be three times larger than that of skilled labor. In general, even though our results do not account for the informal sector, the falling productivity in the service sector is a clear indication that the manufacturing sector cannot fully cope with the reallocation of agricultural labor and therefore the conditions for relatively high inequality will probably persist in the region. Agricultural productivity has a role to play in closing the inter-sectoral labor productivity gap. Even though labor productivity does not necessarily translate into income in imperfect markets, we think that our estimates of the negative association between the inter-sectorial Gini and higher levels of income per head are appearing in many Latin American countries. Table 2 indicates that the income elasticity is 1.56 and the square of income is −0.08. In other words, the gap closes with rising income, and the turning point was 17.154 dollars per head at 2013 EKS PPP prices. We added the terms of trade 12 to check whether increasing trade would reduce the turning point, and the result was 10.847 dollars per head at 2013 prices. Argentina, Chile, Costa Rica, and Venezuela surpassed that threshold around 2000, and Mexico in the early 1980s. Brazil, Colombia, and Peru are coming closer to 10.000 dollars per head, and Bolivia is on 4.517 dollars by 2010 (see Table 5 in Appendix).
The literature has ambiguous results with respect to the association between terms of trade and inequality during the recent commodity boom. For instance, 12 We combined the series of terms of trade from the World Bank and the Montevideo-Oxford Latin American Economic History Database (Moxlad). GDP per head at 2013 prices is taken from the Conference Board Total Economy Database (TED-GDCD). Note: Statistical significance is indicated as * at the 10, ** at the 5, and *** at the 1 % levels Astorga (2014) finds no evidence that the commodity price boom has favored unskilled labor, but  find that it has shifted resources, including labor, toward non-tradable sectors such as construction and services and favored the employment of unskilled labor in these sectors. Timmer and Akkus (2008) report that as in the case of East Asia the negative association between terms of trade and inequality indicate some room to design agricultural policies that improve the well-being of the rural population in the income distribution. Our estimates show a small and negative coefficient for terms of trade, and even if it is statistically insignificant, it seems to support the findings of Timmer and Akkus. Table 1 shows that the inter-sectoral Gini is positively related to the overall Gini. Model 1 indicates that a 1 % increase in the inter-sectoral Gini raises the overall Gini by 0.08 %. Adding the controls, the inter-sectoral Gini in model 2 is −0.018 % and significant at the 10 % level. We examined the result by running separate regressions for every country and found that the downward bias comes from Argentina. Model 2a excludes Argentina and yields a coefficient of 0.04 %. Note that the coefficient is small relative to our first model, but the coefficient is larger and significant at the country level: 0.08 % in Bolivia, 0.09 % in Brazil and Peru (see note in Table 1). The inter-sectoral Gini explains 21 % and 25 % of the variation in the overall Gini coefficient for the period 1960-2010 and 1995-2010, respectively. It is worth noting that Timmer (2004) found that the inter-sectoral Gini in eight Asian countries for the period 1960-1999 accounted for 25 % of the variation of the overall Gini, but the beta coefficient of the inter-sectoral Gini was around 0.43. We did not get coefficients that high in any of the Latin American countries. One wonders which Asian country has driven the results: South Korea, with low inequality and rapid industrialization; the Philippines and Malaysia with high and relatively stable income inequality; or Thailand and China, with high income inequality today in comparison with the 1960s. Inequality in Latin America has been very stable and high in most countries regardless of their initial or current conditions. Model 3 estimates the inter-sectoral Gini to be 0.031 % in the period 1995-2010, 13 during which the decline in income inequality became clear in most countries of the region. The larger coefficients of the inter-sectorial Gini are found in Bolivia (0.14 %), Peru (0.11 %), and Brazil (0.10 %), (see note in Table 1). We control for GDP service, savings and redistribution, and all coefficients are significant, and of the right sign. They all reduce income inequality. This would lead us to think that even though the service sector has some low productivity segments, it is absorbing labor and providing levels of income that might at least be better than in agriculture.
Our findings also show that the inter-sectoral Gini contributes to reduced income inequality and that the inter-sectorial gap is closing. The decomposition exercise presents evidence of the agricultural productivity growth having a larger impact on aggregate labor productivity growth than manufacturing or services. The intersectoral Gini for the most recent period explains around one-fourth of the variation in the overall Gini coefficient. We think that this supports the case for the renewed role of agriculture in Latin American development. We decompose agricultural productivity into land productivity and the land/labor ratio to connect both pieces of evidence, and examine their impact on the inter-sectoral Gini.
For the period 1960-2010, land productivity and land/labor ratio explain around 86 % of the variation in the inter-sectorial Gini (results not shown here). Both coefficients are highly significant, but land/labor ratio is higher than land productivity in every model estimated over the entire period. An increase of 1 % in land productivity reduces the inter-sectorial Gini by 0.23 %. For the ISI period, only 20 % of the variation in the inter-sectoral Gini coefficient can be explained by labor productivity. For instance, Reis (2014, p. 10) writes that "ISI in Brazil is associated with urban concentration, economies of scale and agglomeration and therefore a slow decrease in the spatial inequality of labor productivity." In other words, land productivity was still overwhelmed by the abundance of labor in rural areas in spite of rural-urban migration. However, in the 1995-2010 period the effect of land productivity gets stronger, which coincides with the commodity export boom. Over this period it seems as if land productivity and the factor endowments reinforce each other: the land/labor ratio has increased and so has the productivity per unit of land. Reis (2014) confirms the trend in Brazil, where intense use of land and other natural resources led to the spatial dispersion of economic activities and faster convergence of labor productivity across regions.
Land productivity has played a larger role in the recent period. A look at the agricultural productivity in the initial decomposition exercise presents the increase in agricultural productivity reliant on technological and institutional changes rather than crude reallocation of labor. In other words, as the inter-sectoral Gini is falling, the potential for reallocation is diminishing, which is a clear sign of the transition toward development. We interpret this as a sign of a more dynamic transformation of agriculture not mainly driven by extensive growth and rural to urban migration but also internal productivity growth in the sector.

Conclusions
This study explores the agricultural resurgence of the recent decades in a Kuznetsian structural change perspective and how it relates to the observed reduction in income inequality. We first establish that agricultures' relative labor productivity growth has improved over the last 15 years. Inspired by a recent literature on the role of agriculture and Kuznets' seminal discussion of how the forces of economic change might influence the income distribution, we focus on the part of overall income inequality made up by rural-urban duality, proxied by inter-sectoral income difference. According to our estimates the inter-sectoral Gini explains 20-25 % of overall inequality in Latin America over the entire period. We find that the long-term pattern of sectoral inequality declines with increase in per capita income. Based on this, we find support for income equalization due to inter-sectoral income convergence. Narrowing of the sectoral productivity gap suggests stronger inter-sectoral linkages and together with the expansion of agriculturerelated employment opportunities it is likely that the opportunity cost of unskilled labor has been raised. This is consistent with the finding that the effect of agricultural productivity stemming from land productivity growth, rather than only changes in land/labor ratio, has grown in importance over the last 15 years. Compared to the belle époque, it seems as if improved terms of trade for agriculture not only increased the value of land but also rural labor and possibly also the political commitment to invest in rural areas. Interpreted in the framework of the Kuznets curve we have only addressed part of the dynamics and can therefore neither prove nor disprove whether the decline of inequality over the last decades constitutes the downturn of the Kuznets curve. The agriculture-led reduction of inter-sectoral productivity is however consistent with Kuznetsian forces bending the curve downward.
We also note that while agriculture has emerged as a stronger contributor to overall productivity growth, there has been a large expansion of low-productivity employment in parts of the service sector. This expansion seems to have contributed to the decline in overall income inequality, consistent with the implementation of policies directed toward the lower income segments of the urban population over the last decades. However, the rural-urban duality has transformed into an urban one. A remaining caveat is that even if agriculture has started to close the gap to other sectors, it is probable that productivity gains have been stronger among large capital-intensive agricultural units than smallholders. In this sense, the income distribution might not have been substantially narrowed within the agricultural sector.