Inclusive Growth: When May We Expect It? When May We Not?

Episodes of economic growth that lead to reductions in poverty and inequality are relatively rare in developing countries. In this paper, we examine the institutional foundations of such growth episodes. We argue that the institutional factors that lead to accelerations in economic growth will be different from those that lead to growth maintenance and avoidance of growth decline, and that the institutional preconditions for growth accelerations suggest that these growth episodes may not be inclusive. We present empirical evidence drawn from descriptive and cross-country econometric analyses that support these theoretical propositions.


I. Introduction
It is now well recognized that sustained economic growth that is inclusive will ensure poverty reduction as well as a reduction in inequality. While many developing countries have witnessed rapid economic growth in the recent decades, relatively few of these countries have been able to ensure that the economic growth process has been inclusive of the poor (Ali and Zhuang 2007;Klasen 2004Klasen , 2010. In contrast to the large literature on the determinants of economic growth, there is relatively little understanding on the preconditions for inclusive growth, by which we mean economic growth that leads to reductions in poverty and/or inequality. Much of the literature on inclusive growth has tended to focus on the factors such as lower inflation, greater gender equality, and creation of productive employment for the poor as determinants of inclusive growth (IPC 2007). However, such factors are merely the proximate determinants of inclusive growth and cannot be regarded as the deep determinants of inclusive growth. In the theoretical literature on the determinants of economic growth, institutions are defined as "the rules of the game or more formally, the humanly devised constraints that shape human interaction" (North 1990, p. 3). They are now widely regarded as the fundamental cause of economic growth-the fundamental cause being "the factors potentially affecting why societies make different technology and accumulation choices" (Acemoglu 2009, p. 20).
As the recent literature on the causes of growth makes clear, better regulations and laws provide firms with incentives to invest in productive activities and to develop new goods and production technologies. This leads to greater factor accumulation and technological change (Hall and Jones 1999;Acemoglu, Johnson, and Robinson 2005). However, whether well-functioning institutions can also be regarded as key determinants of inclusive growth is an issue that has received little attention in the academic and policy literature. It is not obvious that the growth process engendered by better institutions will be inclusive of the poor, and whether institutional improvements such as better protection of the rights of private investors will be poverty and inequality reducing. For example, Kraay (2006) finds that improvements in the quality of institutions can lead to greater pro-poor growth, while Amendola, Easaw, and Savoia (2013) show that stronger property rights can exacerbate inequality. Therefore, the inclusiveness of growth processes that are caused by better quality institutions are a matter of conceptual and empirical debate.
Parallel to the developments in our theoretical understanding of the causes of growth, there has been a realization in recent years that the emphasis in the previous growth empirics literature on long-run growth or levels of income (such as in the report of the Commission for Growth and Development 2008) is not compatible with the "stylized facts" of economic growth (Pritchett 2000). As Jones and Olken (2008, p. 582) point out, "almost all countries in the world have experienced rapid growth lasting a decade or longer, during which they converge towards income levels in the United States." Conversely, nearly all countries have experienced periods of abysmal growth. Circumstances or policies that produce 10 years of rapid economic growth appear easily reversed, often leaving countries no better off than they were prior to the expansion.
Long-run growth averages within countries mask distinct periods of success and failure, and while the growth process of all "developed" economies is well characterized by a single growth rate and a "business cycle" around that trend (at least until the recent crises), this is not true of most countries in the world (Kar et al. 2013). Massive and discrete changes in growth are common in developing countries, and most developing countries experience distinct growth episodes: growth accelerations and decelerations or collapses (Jerzmanowski 2006). The recent empirical literature has highlighted the need to differentiate between different phases of growth in a particular country-that is, our understanding of the causes of growth needs to take into account the fact that the causes of growth accelerations may well be different from the factors that maintain growth, once it has ignited in the country (Rodrik 2005).
In this paper, we provide a conceptual framework for understanding the causes of inclusive growth, drawing from both the theoretical literature on institutions and the empirical literature on growth phases. We argue that the institutional preconditions of early-stage growth accelerations (that is, when a country has begun to witness positive growth after a prolonged period of stagnation or collapse) may be such that inclusivity of growth may not be particularly evident. During a growth acceleration, formal institutions are either non-existent or function ineffectively. Informal institutions, repeated bilateral relations between politicians and bureaucrats on one hand and investors on the other, solve the credible commitment problem that can lead to investment and growth. However, these informal institutions by their nature are not inclusive and favor certain firms and households over others. As a consequence, growth accelerations are unlikely to be inclusive.
On the other hand, inclusive growth is more likely to result when a country is in growth maintenance phase-that is, when growth rates are positive for some time-especially if inclusive formal economic and political institutions are to emerge in the country. The emergence of inclusive formal institutions not only leads to a greater likelihood that growth will be maintained, but will also ensure that economic growth is broad-based (Acemoglu and Robinson 2012). We then present empirical evidence that supports our main theoretical propositions using a panel of 42 countries for which we have data on poverty, inequality, and institutional quality for the period 1984-2010.
The rest of the paper is as follows. Section II conceptualizes economic growth as transitions between growth phases, differentiating between the determinants of growth accelerations and of growth maintenance. Section III draws from the recent theoretical literature on institutions and economic growth to obtain testable hypotheses on the institutional preconditions of inclusive growth across growth phases. Section IV examines the behavior of poverty and inequality across different growth phases to see whether the outcomes of inclusive growth differ across these phases. Section V provides a descriptive analysis of the relationship between institutions and the inclusiveness of growth across growth phases. Section VI tests our main hypotheses using econometric analysis. Section VII concludes.

II. Understanding Economic Growth as Transitions in Growth Phases
As the recent empirical literature on economic growth shows, economic growth in many developing countries involves discrete and quantitatively massive transitions between periods of high growth, periods of negative growth, and periods of stagnation. To fix our ideas on transition paths around growth regimes, we provide a simple sketch of these transition paths in Figure 1. Using a rough and ready way to demarcate growth regimes, we classify growth regimes into four categories: (i) a growth regime which we call "miracle growth," where the average increase in per capita income is 5% per annum or more; (ii) a growth regime which we call "stable growth," where the average increase in per capita income is between 0% and 5% per annum; (iii) a growth regime which we call "stagnant growth," where the average increase in per capita income is around 0% per annum; and (iv) a growth regime which we call "growth crisis," where the average change in per capita income is negative. Figure 1 makes clear that a complete characterization of the growth process in any particular country needs an understanding of the factors that lead to growth acceleration (that is, the transition from stagnation or crisis to stable growth or miracle growth) as well as the factors that lead to the avoidance of growth collapses and the maintenance of positive growth (that is, the ability of the country to stay in stable growth or miracle growth in consecutive periods). It is not obvious that the factors leading to growth acceleration will lead to growth maintenance as well. As Rodrik (2005, p. 3) argues: Igniting economic growth and sustaining it are somewhat different enterprises. The former generally requires a limited range of (often unconventional) reforms that need not overly tax the institutional capacity of the economy. The latter challenge is in many ways harder, as it requires constructing a sound institutional underpinning to maintain productive dynamism and endow the economy with resilience to shocks over the longer term.
Once we view economic growth as transitions between the above growth phases and, in particular, the transitions from crisis/stagnant growth to stable/miracle growth, the key questions that need to be asked relate to: (i) the institutional determinants of growth acceleration and how they differ from the institutional determinants of growth maintenance; and (ii) how poverty and inequality behave during growth accelerations and growth maintenance. We turn to these two issues in the next two sections.

III. The Institutional Determinants of Inclusive Growth
A recent set of papers has tried to go beyond the proximate determinants of economic growth such as macroeconomic stability and trade openness to study the fundamental causes of economic growth across countries, and in particular, the importance of economic and political institutions (most notably, Acemoglu, Johnson, and Robinson 2001). These papers have mostly focused on the institutional determinants of economic growth and not on whether these institutional factors may affect the inclusiveness of growth. Nor have they distinguished between different phases of economic growth-in particular, between growth acceleration and growth maintenance. In this section, we review the literature on institutions and growth and explore the possible implications of this literature for our understanding of the institutional determinants of inclusive growth. In particular, we ask whether the nature of growth with respect to its inclusiveness will be different during early stage growth accelerations compared to phases when growth has already ignited and is being maintained. Acemoglu andRobinson (2008, 2012) have provided an influential theoretical argument on why institutions can be seen as fundamental causes of economic growth. In their theory, economic growth may accelerate initially under extractive economic institutions such as insecure property rights and regulations that limit entry to markets and extractive political institutions that concentrate power in the hands of a few with limited checks and balances. However, it is unlikely for economic growth to be maintained and be broad-based without the emergence of inclusive economic and political institutions. Inclusive economic institutions feature secure property rights for the majority of the population (such as smallholder farmers and small firms), law and order, markets that are open to relative free entry of new businesses, state support for markets (in the form of public goods provision, regulation, and enforcement of contracts), and access to education and opportunity for the great majority of citizens. Inclusive political institutions allow broad participation of the citizens of the country, uphold the rule of law, and place constraints and checks on politicians along with the rule of law.
Once inclusive economic and political institutions emerge, economic growth may be maintained for a long time. However, political and economic elites may not have a strong incentive not to change extractive institutions if they personally benefit from the presence of these institutions. In contrast, inclusive and political institutions will be more likely to prevail once they emerge. This is true because with the emergence of such institutions (e.g., democratization and secure property rights for the majority of the population), strong economic performance will be the likely result, reinforcing the welfare-enhancing effects of these institutions. The persistence of extractive institutions may explain why developing countries see boom-bust growth, as these institutions are not likely to lead to long-run sustained growth. Moreover, extractive institutions by their very nature are not conducive to inclusive growth processes. Sen (2013) argues that the institutional determinants of early-stage growth accelerations may be different from the institutional determinants of growth maintenance. When a country has witnessed a prolonged period of stagnation or crisis previous to an acceleration in economic growth, formal institutions are either not present or, when present, are weakly enforced. Informal institutions-bilateral repeated relationships between politicians and investors where the politician protects the investor from expropriation of his profits in return for rents-may help solve the credible commitment problem in the absence of strong formal institutions and may get economic growth started (Grief 1993). A similar point is made by Pritchett and Werker (2013), who argue that a move from "disordered deals" to "ordered deals" that are available to investors-where deals are personalized relationships between economic agents, and the move from disordered to ordered deals is a shift from unpredictable to more predictable relationships-are both necessary and sufficient for economic growth to accelerate, and by De Dios and Ducanes (2013) who argue that different types of institutions may be necessary at different levels of economic development for a particular country. 1 However, for economic growth to be maintained, formal institutions need to emerge and/or be properly enforced. Also, personalized relationships between politicians and investors should not be confined to a few investors, but be made available to a wider set of investors. Pritchett and Werker (2013) call this a move from "closed" to "open" deals.
An important implication of the earlier discussion is that the growth processes associated with informal institutions or "ordered deals" are unlikely to be inclusive, as the very nature of these institutions and deals implies that they are exclusionary, possibly leaving out large parts of the productive poor. Thus, it can be hypothesized that the process of growth acceleration will not be necessarily inclusive, and that more inclusive processes of growth may have to wait until the economy enters a growth maintenance regime. Whether economic growth is inclusive in the growth maintenance phase will depend on the emergence of inclusive economic and political institutions-the greater the degree of inclusivity of these institutions, the more inclusive economic growth will be.
The rather sparse literature on the stylized facts of pro-poor growth also helps us to understand the nature of poverty dynamics around growth traverses. While the positive relationship between economic growth and poverty reduction (if measured using the headcount ratio) is clearly seen in the cross-country data (Ravallion 2012), poverty reduction is more likely to occur when economic growth occurs in long spells rather than in short spells. This suggests that a move from a stagnant/crisis growth regime to a stable/miracle growth regime is not enough for poverty reduction unless the country stays in the stable/miracle growth regime for some time-that is, if the country avoids a growth decline in the initial period following a growth acceleration.
There is now an emerging quantitative literature on the determinants of growth accelerations and why some countries maintain high growth while other countries witness growth collapses. With respect to growth accelerations, Hausmann, Pritchett, and Rodrik (2005, p. 328) find that standard growth determinants such as major changes in economic policies, institutional arrangements, political circumstances, or external conditions "do a very poor job of predicting the turning points." They argue that growth accelerations are caused predominantly by idiosyncratic and often small-scale changes. Pritchett (2000) points out that slow-moving determinants of growth, such as improvements in the quality of institutions, or time-constant factors, such as geography, are less likely to explain the frequent shifts from one growth phase to another that we observe in many developing countries. Jones and Olken (2008) show that changes in institutional quality are not associated with either growth accelerations or declines, where institutional quality is measured by a lower level of corruption and better rule of law.
On the other hand, Berg, Ostry, and Zettelmeyer (2012) find that growth duration (that is, the avoidance of growth collapses) is positively related to the presence of democratic political institutions in the country, along with the degree of equality of income distribution. Jerzmanowski (2006) finds that better institutional quality improves the possibility that a country will remain in a stable or miracle growth phase and will be less likely to suffer a growth collapse. Finally, using crosscountry panel data, Sen (2013) shows that the institutional determinants of growth accelerations are different from those of growth maintenance and that improvements in formal institutions are unable to explain growth accelerations. These findings suggest that growth accelerations may occur in countries that have weak institutions, but at the same time, weak institutions may limit the sustainability or maintenance of economic growth.
However, these studies do not look at the relationship between institutional quality and the inclusivity of growth accelerations and growth maintenance. We examine this relationship later in the paper. But first, we examine whether poverty and inequality-the two critical dimensions of inclusive growth-differ across the growth acceleration and growth maintenance phase.

IV. Patterns in Poverty and Inequality in Growth Phase Transitions
In this section, we examine the behavior of inclusive growth during growth acceleration and during growth maintenance phases. We take inclusive growth to be a process of growth that leads to lower poverty and/or less inequality. 2 As Klasen (2010) notes, there are conflicting definitions of inclusive growth, with some definitions using a process-oriented approach and others using an outcome-oriented approach (e.g., Son 2007, McKinley 2010). 3 Our definition is outcome oriented and mostly guided by the availability of comparable data. The aim is to examine how inclusive growth has been for as many countries as possible for the longest sample period. Since we are interested in understanding the relationship between institutions and inclusive growth across different growth phase transitions within countries, we are similarly constrained by the availability of reliable timeseries data on institutions.
For the poverty and inequality data, we use the World Development Indicators from the World Bank. We draw data on purchasing power parity GDP from the Penn World Tables. These are available for a subset of the countries from 1982 in most cases. Time-series data on institutions are obtained from the International Country Risk Guide (ICRG) database widely used in the institutions and growth literature. 4 The first year of the data is 1984 and the last is 2010.
We first need to identify years comprising growth breaks for our sample of countries for which we have comparable poverty and inequality data. We use the years of growth breaks that are provided in Kar et al. (2013), who use a combination of a statistical procedure and a filter-based approach to identify the breaks. We provide details of this methodology in Appendix 1. The years of growth breaks for the countries for which we have poverty and inequality data before and after the break are presented in Appendix 2.
For the poverty measure, we use the income share of the bottom 20% of the income distribution and the headcount ratio (in percent of the population) at $1.25 a day. For the inequality measure, we use the ratio of income share of the bottom 10% to the income share of the top 10% and the Gini coefficient. For the 2 In our econometric analysis, we will use a measure of inclusive growth, which is the average of poverty and inequality. This would imply that an episode of economic growth that reduces poverty but increases inequality will not be considered as an episode of inclusive growth.
3 Some definitions of inclusive growth take it to be an increase in the equality of opportunity (e.g., Zhuang 2007, Sugden 2012). However, in our view, greater equality of opportunity is a determinant of inclusive growth and a consequence of greater inclusiveness of institutions but is not inclusive growth per se. It should also be noted that we do not include nonmaterial dimensions of inclusive growth such as expanded education and health in our measure (e.g., Sugden 2012, Rauniyar andKanbur 2010), as the institutional determinants of inclusive growth mostly relate to the material dimensions of inclusive development. 4 A vast number of studies have used these measures in testing for the effects of institutions on economic growth. Prominent among them are Knack and Keefer (1995); Hall and Jones (1999); Acemoglu, Johnson, and Robinson (2001); Glaeser et al. (2004); and Rodrik, Subramanian, and Trebbi (2004). institutional quality measures, we use the degree of corruption, rule of law, 5 and democratic accountability. The rule of law captures to some degree the inclusiveness of economic institutions-a higher prevalence of law and order would imply that more households and firms would be able to engage in economic transactions (Dixit 2009), while democratic accountability captures the inclusivity of political institutions. The degree of corruption captures the overall institutional environment in the country in question.
We now examine the trends in the poverty and inequality measures for a sample of countries for which we have identified the year of growth acceleration and the subsequent period of growth maintenance. To study the behavior of poverty and inequality before and after growth acceleration and during growth maintenance, we can only use the countries listed in Appendix 2 for which we have at least one set of observations on poverty and inequality before the year of growth acceleration and another set of observations during or after the growth acceleration. 6 We have 24 countries that match this criterion. 7 A positive feature of the countries in our sample is that they are drawn from all regions of the developing world and can be said to provide a representative picture of inclusive growth patterns during growth accelerations. Table 1 presents the annual percentage change in the income share of the bottom 20% of the income distribution (column 1), the headcount ratio at $1.25 a day (column 2), the ratio of top to bottom 10% of the income distribution (column 3), and the Gini coefficient (column 4) for the 24 sample countries during their growth acceleration phase. We also compute three summary statistics that capture the responsiveness of poverty and inequality to the change in the growth rate during the growth acceleration phase. 8 The first statistic-the percentage change in the income share of the bottom 20% (as in column 1) to the change in the growth rate-measures the response of income shares of the bottom 20% of the income distribution to a growth acceleration (column 5). The second statistic-the percentage change in the headcount ratio (as in column 2) to the change in the growth rate-measures the response of poverty to a growth acceleration (column 6). The third statistic-the percentage change in the Gini coefficient (as in column 4) to the change in the growth rate-measures the response of inequality to a growth acceleration (column 7). (i) Annual change is equal to log change/T where T is the number of years between the 2 years before and after the acceleration. (ii) Income share of bottom 20% response to GA is column (1) as a ratio of column (8).
(iii) HCR response to GA is column (2) as a ratio of column (8).
(iv) Gini response to GA is column (4) as a ratio of column (8).
(v) Change in growth rate during GA is the difference between the pre-and post-break growth rate of GDP per capita obtained from Kar et al. (2013). Sources: World Bank (2013); Kar et al. (2013); author's calculations.
We find that for several of the countries, the response of the income shares of the bottom 20% to a growth acceleration was such that the bottom 20% were worse off during the growth acceleration: for example, Bangladesh, the People's Republic of China (PRC), Dominican Republic, Guatemala, Jordan, Nigeria, Poland, and Romania. In contrast, there is more evidence of a decrease in headcount poverty during a growth acceleration: 15 out of the 23 countries (Jordan does not have data on the headcount poverty ratio) witnessed a decline in headcount poverty during a growth acceleration. However, when we observe the behavior of inequality as captured by the Gini, we find that several countries witnessed an increase in inequality in the growth acceleration-a total of 14 countries.
If we were to use the headcount ratio as the metric of poverty and the Gini coefficient as the metric of inequality, only 8 out of 24 countries-one-third of the sample-witnessed both a fall in poverty and inequality during growth accelerations. On average, the share of the bottom 20% and the headcount ratio fell by 0.2% and 1.3% per annum, respectively, and the Gini coefficient increased by 1.1% per annum for our sample of countries. This implies that if we use the income share of the bottom 20% of the income distribution as the metric of poverty and the Gini coefficient as the metric of inequality, the average country exhibited a worsening of inclusive growth during a growth acceleration phase. Table 2 presents the annual percentage change in the income share of the bottom 20%, the headcount ratio at $1.25 a day, the ratio of top to bottom 10%, and the Gini coefficient, as well as the three summary statistics as in Table 1, for the same set of countries during their growth maintenance phase. 9 In this case, the three summary statistics provide the response of the income share of the bottom 20%, the headcount ratio, and the Gini coefficient to the magnitude of growth during the growth maintenance phase (column 8 in Table 2). 10 Here, we find many more countries witnessing an increase in the income share going to their bottom 20% (14 countries) as well as a fall in the $1.25 a day headcount ratio (19 countries). Several countries also witness a fall in inequality, whether measured by the top 10% to bottom 10% shares or by the Gini coefficient (13 countries in the first case, 14 countries in the second case).
There is evidence of a higher degree of inclusive growth in the growth maintenance phase-the income share of the bottom 20% increases by 0.7% per annum on average, the headcount ratio declines, on average, by 6.2% per annum and the Gini falls, on average, by 0.2% per annum. Twelve countries show a decline in both headcount poverty and inequality (as measured by the Gini) during the growth maintenance phase. Whichever metric one uses for poverty (the headcount ratio or 9 For this exercise, the year of the poverty and inequality data is the last year in the growth maintenance phase for which data was available. The years are provided in Appendix 3b. 10 We obtain the data on the magnitude of growth during the growth maintenance phase for each country from Kar et al. (2013). The magnitude of growth is calculated by taking the difference between the actual growth rate and the predicted growth rate if growth had not accelerated, and timing this with the duration of the growth phase. Predicted growth rate is obtained by running a separate prediction regression for each growth transition and predicting a country's growth rate on the basis of its previous growth and its level of per capita income. See Kar et al. (2013) for further details and justification of the manner growth magnitudes are calculated. It should be noted from Table 2 that the PRC witnesses the largest magnitude of growth followed by Malaysia, Iran, and India. This is a product of high growth rates during growth maintenance (relative to past growth) and the long duration of the growth phase in these countries. (i) Annual change is equal to log change/T where T is number of years between the 2 years before and after growth maintenance. The years for each country are provided in Appendix 3b. (ii) Income share of bottom 20% response to GM is column (1) as a ratio of column (8).
(iii) HCR response to GM is column (2) as a ratio of column (8).
(iv) Gini response to GM is column (4) as a ratio of column (8).
(v) Magnitude of growth during GM (column [8]) is obtained from Kar et al. (2013), and is the product of the difference between actual and predicted growth if the GM had not occurred and the duration of the GM phase the income share of the bottom 20%) and using the Gini as the metric for inequality, the average country exhibits inclusive growth during the growth maintenance phase.

V. The Relationship between Institutions and the Inclusiveness of Growth
In this section, we provide a descriptive analysis of the relationship between institutional quality and the inclusiveness of growth as a precursor to the econometric analysis. Our core hypotheses are as follows: (i) that there will not be a significant reduction in poverty and inequality during a growth acceleration, while there may be a more significant reduction of poverty and inequality during a growth maintenance episode; and (ii) that the responsiveness of poverty and inequality will be greater, especially in a growth maintenance phase, if there is an improvement in institutional quality.
We explore these hypotheses in this section using simple bivariate scatter plots of the relationship of poverty and inequality response to growth acceleration (GA) and growth maintenance (GM) and changes in our measures of institutional quality during GA and GM. 11 In Figures 2 and 3, we plot the relationship between headcount poverty and inequality (Gini) responses to GA and changes in corruption, rule of law, and democratic accountability during a GA phase. In Figures 4 and 5, we plot the relationship between headcount poverty and inequality (Gini) responses to GM and changes in corruption, rule of law, and democratic accountability during a GM phase.
From Figure 2, we find that the relationship between poverty response to GA and changes in corruption, rule of law, and democratic accountability during a GA is either flat or even positive. In the case of inequality response to GA, we find that its relationship with changes in corruption, rule of law, and democratic accountability during a GA is flat or weakly negative (Figure 3). Thus, improvements in institutional quality, wherever they have occurred during GA, do not seem to be strongly associated with declines in poverty and inequality during a GA phase.
In contrast, when we observe the relationship between the responses of poverty and inequality to GM and institutional change during GM (Figures 4 and  5, respectively), we see that there is a strong negative relationship between poverty response and improvements in democratic accountability (Figure 4c), and between inequality response to a GM and decreases in the degree of corruption (Figure 5a) and improvements in the rule of law (Figure 5b). 12 In sum, there is suggestive evidence that the behavior of poverty and inequality is different during growth acceleration and growth maintenance and that improvements in institutional quality are more likely to be associated with declines in poverty and inequality during growth maintenance. In the next section, we investigate these relationships more systematically using multivariate regression methods.

VI. Econometric Analysis and Results
In this section, we undertake econometric analysis to assess the validity of our main hypotheses. Reiterating our main theoretical propositions, we expect that inclusiveness of growth will be less evident during growth accelerations; that growth maintenance phases will be more likely to lead to inclusive growth; and that the extent of inclusive growth during growth maintenance will be positively associated with improvement in the inclusivity of institutions, though less so in the case of growth acceleration.
To test these hypotheses, we first construct a composite variable for inclusive growth (POVINQ) which is the sum of the headcount ratio and the Gini. The idea behind this simple measure is that it captures both the poverty and inequality dimensions of inclusive growth. Using this measure, a growth episode can be termed inclusive if both poverty and inequality are falling, or if the fall in poverty is greater than the increase in inequality where both variables are moving in different directions (and vice versa). We then run regressions of the following form: where POVINQ is our measure of inclusive growth, subscript i denotes the country, and subscript t denotes time. We use panel data for countries where we have at least three observations of poverty data (one before the acceleration, one after the acceleration, and one much later during growth maintenance) and where we have data on institutions from 1984 to 2010 (we exclude all advanced market economies). There are 42 countries in all including countries that did not see a growth acceleration during 1984-2010 and countries that had growth maintenance for all the years for which we have poverty and inequality data.
The variable GA captures the growth acceleration phase and is a dummy variable that takes the value 1 for the year when growth acceleration occurred, 0 otherwise. The variable GM captures the growth maintenance phase and is a dummy variable that takes the value 1 for all intervening years between a growth acceleration and a growth decline. If there had been no growth decline following growth acceleration, the dummy remains equal to 1 for the rest of the period of analysis. The variable INST is a measure of institutional quality. As in the previous section, we use 3 different measures: corruption (higher values denote less corruption), rule of law, and democratic accountability. We also interact GA and GM with our different institutional quality variables-this captured by the interaction variables GA * INST and GM * INST. Finally, we let Z be a vector of control variables. Our unit of time is one year, and the panel is unbalanced due to the lack of data on poverty and inequality for some country-years.
Based on our hypotheses, we would expect that A 2 to be either statistically insignificant or negative and significant, while A 3 would be negative and significant. Moreover, if A 2 and A 3 turn out to be both negative, then A 3 would likely be greater in magnitude than A 2 . We expect A 4 to be statistically insignificant and A 5 to be negative and significant, as we expect that improvements in institutional quality would not affect inclusive growth in a growth acceleration phase, but would do so in a growth maintenance phase. The direct effect of the institutional quality variable on inclusive growth can be expected to be positive, so the coefficient A 6 would be negative and statistically significant.
We use three controls that are standard in the growth/poverty/inequality empirics literature: (i) the ratio of government consumption spending to GDP (GOVT-CONS); (ii) the openness of the economy, as measured by the ratio of total exports and imports of goods and services to GDP (OPEN); and (iii) a dummy for oilexporting economies (OILEXP). Government social expenditures (e.g., on education and health) may lead to more inclusive growth. However, reliable panel data on government social expenditure is not available, and we are confined to using government consumption expenditures as a proxy (Iradian 2005). Greater openness may lead to more inclusive growth, though this has been debated (Winters, McCulloch, and McKay 2004). Oil-exporting countries would have a higher share of revenue from natural resources, and this may allow them to spend more on the social sector, leading to more inclusive growth. However, this may also bias growth away from labor-intensive sectors, which may lead to less inclusive growth (Sachs and Warner 1999). 13 We present our results in Table 3. In the first column, we regress POVINQ on GA and GM, along with the control variables-GOVTCONS, OPEN, and OILEXP. We use ordinary least squares estimation, with standard errors corrected for countrylevel clustering. 14 We find the growth maintenance phase to be associated with declines in inclusive growth, but not the growth acceleration phase.
In the second column, we include the corruption variable (CORR) and its interaction with GA and GM. While corruption does not have a direct effect on inclusive growth (in that a lower degree of corruption does not lead to faster declines in poverty/inequality), we find that countries that had seen declines in the degree of corruption in their growth maintenance phase also witnessed declines in poverty/inequality. That is, the coefficient on the interaction term (GM * CORR) is negative and statistically significant. In contrast, a decline in the degree of corruption 13 High levels of literacy are also expected to lead to more inclusive growth. However, the commonly used Barro-Lee data is only available quinquennially, and using this data reduces the number of observations in our panel data considerably from around 350 observations to less than 70.
14 It should be noted that we cannot include country and year fixed effects. In the case of the former, the GM variable will be washed out for countries where growth acceleration occurred at an early stage. In the case of the latter, the GA variable will be washed out, as many countries experienced growth accelerations simultaneously. 350 * * * = significant at the 1% level, * * = significant at the 5% level, * = significant at the 10% level, CORR = corruption, DA = democratic accountability, GA = growth acceleration, GM = growth maintenance, GOVTCONS = government consumption, LAW = rule of law, OPEN = openness, OILEXP = oil exporter. Note: The dependent variable is the composite measure of inclusive growth POVINQ, the sum of the headcount ratio and the Gini coefficient. Figures in parentheses are t-ratios, with robust standard errors corrected for country-level clustering. Source: Author's estimates.
in the growth acceleration phase does not seem to be associated with a reduction in poverty/inequality. The coefficient on the interaction term (GA * CORR) is not statistically significant.
In column 3, we include the rule of law (LAW) in the regression, by itself and in interaction with GA and GM. Interestingly, we see that improvements in the rule of law has a direct negative effect on poverty and inequality, as the coefficient on LAW is negative and statistically significant. The coefficient on the interaction term for GA and LAW is not statistically significant, but the coefficient on the interaction term for GM and LAW is negative and significant.
Finally, in column 4, we include democratic accountability (DA), by itself and in interaction with GA and GM, and obtain similar results as for corruption and the rule of law. Our results suggest that poverty/inequality reduction is more likely to occur during the growth maintenance phase. In addition, improvements in institutional quality in this phase-whether in the form of lower corruption, greater rule of law, or greater democratic accountability-are likely to contribute to further reduction in poverty/inequality. In contrast, growth acceleration appears unlikely to lead to poverty/inequality reduction, independent of institutional quality improvements. 15

VII. Conclusions
The achievement of inclusive growth in the developing world is a significant challenge for policy makers in international development. What are the fundamental causes of inclusive growth, and when may we expect to witness inclusive growth during a growth experience of a particular country? This paper examines the institutional preconditions and argues that the inclusiveness of growth varies across growth phases within countries. It derives some possible testable hypotheses from the recent literature on institutions and provides empirical evidence that support the hypotheses.
When may we expect inclusive growth? It is most likely to be witnessed when economic growth for a particular country has accelerated and the country is in growth maintenance phase and when inclusive institutions have emerged. When may we not expect inclusive growth? It is unlikely to be witnessed at the onset of economic growth, especially if the acceleration in economic growth has been caused by informal or extractive institutions. Our findings imply that from a policy perspective, in countries that have not yet witnessed a growth acceleration or where growth is on a decline, it is arguably more important to get growth started, as the inclusivity of growth may have to come later. Once growth has accelerated, it is important to facilitate the emergence of inclusive institutions as the greater the inclusivity of institutions, the more likely that economic growth will be inclusive. 15 We also do further robustness tests of our results. First, we use different timings of growth accelerations as in Berg, Ostry, and Zettelmeyer (2012) and Jones and Olken (2008). Secondly, we construct a different growth acceleration variable, where the dummy takes the value 1 for the year of the growth acceleration and the 2 years following it. Our results do not change with these changes in the construction of the growth acceleration and maintenance variables. Finally, we calculate POVINQ with different weighting given to poverty and inequality with no change in our results. data can have a maximum of 2 breaks, countries with 50 years of data can have a maximum of 3 breaks, and countries with 60 years of data can have a maximum of four breaks.
Once the "potential" breaks have been estimated, the second step of the methodology uses the following filter in order to confirm the genuine breaks: (i) if an up break follows another up break or a down break follows another down break, then a 1% change would classify the break as a genuine break; (ii) if an up break follows a down break or a down break follows an up break, then a 3% change would classify the break as a genuine break; and (iii) in case of the first break, since it is not known whether it follows an up break or a down break, a 2% change would classify as a genuine break.
Using this methodology, Kar et al. (2013) find a total of 318 breaks (both up breaks and down breaks) from a group of 125 countries. The identification of breaks in economic growth allows them to identify the years when a particular country is witnessing a growth acceleration or growth deceleration, and if the country has witnessed a growth acceleration previously, how long the country is in a growth maintenance phase-the period between the year of growth acceleration (an up break) and the year of growth deceleration (a down break).