Government Spending, Growth and Poverty in Rural India Shenggen Fan, Peter Hazell, and Sukhadeo Thorat Using state-level data for 1970–93, a simultaneous equation model was developed to estimate the direct and indirect effects of different types of government expenditure on rural poverty and productivity growth in India. The results show that in order to reduce rural poverty, the Indian government should give highest priority to additional investments in rural roads and agricultural research. These types of investment not only have much larger poverty impacts per rupee spent than any other government investment, but also generate higher productivity growth. Apart from government spending on education, which has the third largest marginal impact on rural poverty and productivity growth, other investments (including irrigation, soil and water conservation, health, and rural and community development) have only modest impacts on growth and poverty per additional rupee spent. Key words: public policy, government expenditure, rural poverty, productivity growth, India. Poverty in rural India has declined substantially in recent decades. The percentage of the rural population living below the poverty line fluctuated between 50 and 65% prior to the mid-1960s, but then declined steadily to about one-third of the rural population by the early 1990s (table 1). Agricultural growth and food price changes have been identified as important contributing factors to this decline in rural poverty ( Saith; Ahluwalia; Srinivasan; Ghose; Gaiha; Bell and Rich). But these factors may have become less important today given growth in the rural non-farm economy and expansion of government poverty alleviation and employment programs. The primary purpose of this paper is to investigate the causes of the decline in rural poverty in India and particularly to determine the role that government investments have played, using a pooled time-series, crossstate data set. Government spending can have direct and indirect effects on poverty. The direct effects are the benefits the poor receive from expenditures on employment programs. The indirect effects arise when government investments in rural infrastructure, agricultural research, and the health Shenggen Fan and Peter Hazell are senior research fellow and director, respectively, of the Environment and Production Technology Division, International Food Policy Research Institute, Washington, D.C. Sukhadeo Thorat is professor at Jawaharlal Nehru University, New Delhi. They thank two anonymous reviewers, workshop participants at IFPRI, and World Bank for comments. and education of rural people stimulate agricultural and nonagricultural growth, leading to greater employment and income-earning opportunities for the poor and to cheaper food. We seek to quantify the effectiveness of different types of government expenditures in contributing to poverty alleviation. Such information can assist policymakers in targeting their investments more effectively to reduce poverty. More efficient targeting has become increasingly important in an era of macroeconomic reforms in which the government is under pressure to reduce its total budget. An econometric model is formulated and estimated that permits calculation of the number of poor people raised above the poverty line for each additional million rupees spent on different expenditure items. Targeting government expenditures simply to reduce poverty, however, is not sufficient. These expenditures also need to stimulate economic growth to help generate the resources required for future government expenditures. Growth is the only sure way of providing a permanent solution to the poverty problem and increasing the overall welfare of rural people. Our model is therefore formulated to measure the impact on growth as well as poverty of different items of government expenditures. The model makes it possible not only to rank different types of investment in terms of their effects on growth and poverty, but also to quantify Amer. J. Agr. Econ. 82(4) (November 2000): 1038–1051 Copyright 2000 American Agricultural Economics Association Fan, Hazell, and Thorat Table 1. Changes in Technology, Infrastructure, Agricultural Production and Poverty in Rural India, 1970–94 HYVs Irrigation Village Electrified Literacy Rate Road Density km/1000 km2 % % % 23 28 33 33 34 57 85 89 23 30 35 39 2414 3670 4861 5221 Standard Deviation 1970 15 1980 19 1990 23 1994 20 18 20 21 23 22 22 13 10 6 7 8 9 1563 2189 3242 3581 Annual Growth Rate (%) 1970–79 625 1980–89 310 1990–94 210 1970–94 419 184 169 −088 120 537 438 096 396 247 161 268 217 450 305 134 311 % 100 120 152 165 n.a. 27 16 18 195 382 209 211 Productivity Growth % Incidence of Poverty % 10000 11205 12069 11786 55 48 36 37 n.a. 24 21 21 14 13 10 10 137 199 −059 069 Note: Standard deviations for production and productivity growth are calculated using the growth index between the current and last periods ( 1970–80, 1980–90, and 1990–94). Government Spending, Growth and Poverty in Rural India % All India Average 1970 21 1980 41 1990 53 1994 64 Production Growth 1039 1040 November 2000 any trade-offs or complementarities that may arise between the achievement of these two goals. Conceptual Framework and Model Much of the literature seeking to explain the decline in rural poverty has focused on agricultural growth and food price policies (Ravallion and Datt; Sen). Yet little attention has previously been paid to the role of government spending in alleviating poverty. Government expenditure has not only contributed to agricultural growth and hence indirectly to poverty alleviation, but it has directly created rural non-farm jobs and increased wages. The real significance of government development expenditure lies in the fact that it imparts a greater amount of “trickle-down” benefits for the poor in the growth process than agricultural growth alone. Unlike agricultural growth, which often reduces poverty only by increasing mean consumption, government expenditure reduces poverty by increasing both mean income and improving the distribution of income (Sen). Another significant feature of the literature on rural poverty in India is that most of the previous studies have used a single-equation approach (Ahluwalia; Saith; Gaiha; Ravallion and Datt; Datt and Ravallion). There are at least two disadvantages to this approach. First, many poverty determinants such as income, production or productivity growth, prices, wages, and nonfarm employment are generated from the same economic process as rural poverty. In other words, these variables are also endogenous variables; ignoring this characteristic leads to biased estimates of the poverty effects (van de Walle; Bell and Rich). Second, certain economic variables affect poverty through multiple channels. For example, improved rural infrastructure will not only reduce rural poverty through improved agricultural productivity, it will also affect rural poverty through improved wages and nonfarm employment. It is difficult to capture these different effects with a single-equation approach. Building on previous studies of the determinants of rural poverty in India, this study develops a simultaneous equations model to estimate the various direct and indirect Amer. J. Agr. Econ. effects of government expenditures on productivity and poverty.1 The formal structure of the system is given in equations (1) to (19). All variables are measured in annual growth rates (or differences in logarithm of all variables) and are defined in table 2.2 Equation (1) models the determinants of rural poverty reduction (P).3 They include growth in total factor productivity in agricultural production (TFP), changes in rural wages (WAGE) and nonagricultural employment (NAEMPLY), changes in the terms of trade (TT), changes in the percentage of landless households in total households (LANDN), one year lag of growth in rural population (POP−1 ), and one year lag of GDP growth (GDP−1 ).4 Rather than agricultural income ‘TFP’ is used in order to capture the impact on rural poverty of technologydriven shifts in the production function, rather than simply increased input use. Some economists, such as Datt and Ravallion, have used output per hectare (land productivity) as a proxy for agricultural performance or to represent changes in agricultural technology. But changes in land productivity do not necessarily imply technical change because farmers can simply use more inputs on a per hectare basis to increase land productivity. (1) P = f(TFP, WAGE, NAEMPLY, TT, LANDN, POP−1 GDP−1 ) 1 Total government expenditure in India is divided into nondevelopment and development spending, and the latter is further sub-divided into spending on social and economic services. Social services include health, labor, and other community services, while economic services include sectors like agriculture, industry, trade, and transportation. Because we use the statelevel data in our analysis, the central government expenditure is excluded from the study. For agriculture and allied activities, the central government’s expenditure accounted for 32% of total government expenditure in 1993, but most of this spending was on fertilizer subsidies and transfers to the states for welfare programs that do not affect the capital stocks considered in this paper. Therefore, ignoring central government spending should not seriously bias our analysis. 2 All variables in our analysis were first transformed into geometric annual growth rates in logarithm form, i.e., dx = ln(xt /xt−n )/n, where xt and xt−n represent the observations on x at time t and t − n, respectively, and n is the number of the years between two periods when data are available. If n = 1, then dx is simply a first difference in logarithms. This transformation avoids the problem of different time intervals between observations. It also alleviates potential multicollinearity problems among many dependent variables on the right hand side of the equations. 3 All variables without subscripts indicate observations in year t at the state level. For presentation purposes, we omit the subscript. The variables with subscript “−1 · · · − j” indicate observations in year t − 1 · · · t − j. 4 Lagged instead of current population and GDP growth are used because we can avoid the endogeniety problem of these variables in the poverty equation. However, when the current growth is used, the results differ very little. Fan, Hazell, and Thorat Table 2. Government Spending, Growth and Poverty in Rural India 1041 Definition of Exogenous and Endogenous Variables Exogenous Variables POP−1 WAPI GDP−1 ATT TFPn RAIN One year lag of rural population growth. World agricultural price index (average export price for rice, wheat and corn). One year lag of gross domestic product. Lagged five-years moving average of the terms of trade variable. Total factor productivity growth at the national level. Annual rainfall. Endogenous Variables IRE RDE ROADE EDE PWRE GCSSL GCSHEL GERDEV P LITE ROADS IR PUIR PRIR PVELE WAGE NAEMPLY TFP LANDN TT Government expenditure on irrigation, both from revenue and capital accounts. Government spending (both revenue and capital) on agricultural R&D. Government investment and spending in rural roads. Government spending on rural education. Government revenue and capital spending on rural power. Government capital stock accumulated in soil and water conservation investment. It is the weighted average of the past government expenditure on soil and water conservation, i.e., GCSSLt = m wm SOILEt−m , where SOILEt−m is government expenditure on soil and water conservation at time t−m. The weights are 0.4, 0.3, 0.2, and 0.1, respectively, with three years lag. Government spending on medical and public health and family welfare measured in stock terms using three years lag similar to expenditures on soil and water conservation. Government expenditure on rural and community development measured in stock terms using three years lag similar to expenditures on soil and water conservation. Rural population falling below poverty line. Literacy rate of rural population. Road density in rural areas. Percentage of total cropped area that is irrigated (sum of both public and private irrigation). Percentage of total cropped area under public irrigation (canal irrigation). Percentage of total cropped area under private irrigation (wells, tube wells, and tanks). Percentage of rural villages that are electrified. Wage rate of rural labor. Percentage of nonagricultural employment in total rural employment. Total factor productivity growth (Tornqvist-Theil index). Percentage of rural households that are landless. Terms of trade, measured as agricultural prices divided by a relevant non agricultural GNP deflator. Wages and nonagricultural employment are also important sources of income for rural residents in India. Income from wages can derive from both agricultural and nonagricultural sources. The terms-of-trade variable measures the impact of changes in agricultural prices relative to nonagricultural prices on rural poverty.5 It is hypothesized 5 Instead of using the inflation rate in rural areas (as did Saith 1981; Ahluwalia 1985; Bell and Rich 1994; Datt and Ravallion 1997), we use the terms of trade (agricultural prices relative to nonagricultural prices). The reason is that the rise of agricultural prices may have even greater impact than the general price index on rural poor since they are usually net buyers of agricultural products. that in the short run, the poor may suffer from higher agricultural prices because they are usually net buyers of foodgrains. The percentage of landless households is included in the equation to measure the potential impact of access to land on rural poverty. Population growth also affects rural poverty since higher growth in population may increase rural poverty if there is insufficient growth in rural employment. This is particularly important for a country like India where resources are limited and the population base is large. The GDP growth variable is included to control for the remaining income effects (in addition 1042 November 2000 Amer. J. Agr. Econ. to growth in TFP, wages, and nonagricultural employment) on rural poverty reduction. (2) TFP = f RDE, RDE−1 RDE−i IR, ROADS, PVELE, LITE GCSHEL, GERDEV GCSSL, GDP−1 RAIN Equation (2) models the determination of TFP growth in agriculture. The TFP growth index is the ratio of an aggregated output index to an aggregated input index.6 The following variables are included in the equation: current and lagged government spending in agricultural research and extension (RDE, RDE−1 RDE−i ); percentage of irrigated cropped area in total cropped area (IR); literacy rate of the rural population (LITE); road density (ROADS); percentage of village electrified (PVELE), capital stocks of government investment in health (GCSHEL), rural development (GERDEV), and soil and water conservation (GCSSL); lagged GDP; and annual rainfall (RAIN). The first seven sets of variables should capture the productivity-enhancing effects of technologies, infrastructure, education, and other various government spending in rural areas. The lagged GDP variable should control for the effects of overall economic growth on TFP growth in agriculture. The rainfall variable should capture the weather effects. In the initial estimation, an effort was made to separate out the differential impacts of public and private irrigation in the equation, but these two variables are highly correlated. We therefore added these two variables together and used total irrigated area as a percent of the cropped area in equation (2). (3) WAGE = f TFP, ROADS, PVELE LITE, GCSHEL GERDEV, GCSSL GDF−1 Equation (3) is a wage determination function. Changes in rural wages are modeled as a function of growth in agricultural 6 Another advantage of using TFP growth instead of production growth is that the TFP function has significantly fewer independent variables than the production function. The production function includes input variables like labor, land, fertilizer, machinery, and draft animals as independent variables in addition to those variables included in the TFP function. Fewer independent variables in the TFP function help reduce multicollinearity problems, and increase the reliability of the estimated results. TFP; improvement in infrastructure (roads and electricity) and education; and government spending on health, rural development, and soil and water conservation; and lagged GDP. The impact of improved infrastructure on wages is often ignored in specifying wage determination equations. Ignoring this effect is likely to lead to underestimation of the impact of government spending on poverty, since wage increases induced by improved rural infrastructure can be potentially large, benefitting workers in agricultural and nonagricultural activities. The GDP growth variable is included to control for other factors that are closely linked to overall economic growth. (4) NAEMPLY = f TFP, ROADS PVELE, LITE GCSHEL, GERDEV GCSSL, GDP−1 Equation (4) determines nonagricultural employment. It is modeled as a function of growth in agricultural TFP; development in rural infrastructure and education; government expenditures on health, rural development programs, and soil and water conservation; and growth in GDP. The first three variables measure how growth in agricultural productivity, and improvement in infrastructure and education help to generate nonfarm employment opportunities. Improved roads and electricity access will help farmers to set up small non-farm businesses and to market their products out of their villages and towns. Improved roads and education also help farmers to find jobs in towns. Improved health status of farmers may also help to improve their nonagricultural employment opportunities. Government programs in rural development, such as the Integrated Rural Development Programs and rural employment schemes, are designed by the government to alleviate rural poverty by generating nonagricultural and wage employment opportunities for rural laborers. Government spending on soil and water conservation is also often used by the government to generate wage employment for farmers, particularly in drought years. As with the wages equation, we include GDP Fan, Hazell, and Thorat Government Spending, Growth and Poverty in Rural India growth to capture its effect on growth in nonagricultural employment.7 (5) PUIR = f(IRE IRE−1 IRE−j PVELE) Equation (5) models the relationship between government investment and the percentage of cropped areas under public irrigation. Since most canal irrigation is supported by the government, the cropped area under canal irrigation is used as a proxy for public irrigation. The explanatory variables are current and past government spending on irrigation (IRE, IRE−1 IRE−j ), and access to electricity for pumping (percentage of electrified villages).8 (6) PRIR = f(PUIR PVELE) Equation (6) models the impact of public irrigation on private irrigation. It is argued that canal irrigation supported by the government is often a pre-condition for private irrigation to have a reasonable economic return. The private irrigation is defined as the percentage of cropped areas under wells and tube wells, which are mostly farmers’ private initiatives. (7) ROADS = f(ROADE ROADE−1 ROADE−k ) (8) LITE = f(EDE EDE−1 EDE−m ) (9) PVELE = f(PWRE PWRE−1 PWRE−n ) Equations (7), (8), and (9) model the relationships between road density and 7 Again, lagged instead of current GDP growth is used for both wages and nonfarm employment equations. The difference in results is small whether current or lagged GDP growth is used, however. 8 To test whether there is any difference in the impact of current and capital account expenditure, we included both a capital stock variable (using three years lag) and a current expenditure variable for irrigation in equation (8). The results revealed that capital expenditure has a significant and positive effect on the percentage of irrigation, but the current expenditure has a small, negative, but statistically insignificant impact. This seems to indicate that government may overspend in the current account and underspend in the capital account. Similar tests could not be done for government expenditure on roads, education, agricultural R&D, and rural development, because these government expenditures are mainly from current account. 1043 current and past government investment in rural roads (ROADE, ROADE−1 ROADE−k ), between the rural literacy rate and current and past government investment in education (EDE, EDE−1 EDE−m ), and between the percentage of villages electrified and government investment in power (PWRE, PWRE−1 PWRE−n ), respectively. (10) LANDN = f(TFP POP−1 NAEMPLY) Equation (10) models the effect of productivity growth on access to land. It has often been argued that improved productivity as a result of technology adoption and infrastructure improvements has worsened equity problems in rural areas in India. We expect increased landlessness to be highly correlated with any worsening of rural poverty, hence endogenizing access to land in the model should capture the negative impacts on the poor arising from productivity growth due to technological change and infrastructure improvement. We also include non-farm employment and rural population growth in the equation to capture their effects on access to land. (11) TT = f(TFP TFPn WAPI) Equation (11) determines the terms of trade. Growth in TFP at the state and national levels (TFPn) increases the supply of agricultural products, and therefore reduces agricultural prices. The inclusion of national TFP growth will help to reduce any upward bias in the estimation of the poverty alleviation effects of government spending within each state, since TFP growth in other states will also contribute to lower food prices through the national market. A weighted average of the world price index of rice, wheat, and corn (WAPI) is also included in the equation to capture the impact of international markets on domestic agricultural prices. Many have argued that government expenditures may also be endogenous, and without controlling for this, the estimates of the model’s parameters will be biased. Two features of our model specification may help to reduce this bias. First, annual growth rates (instead of levels) of all variables were used. This is similar to taking first differences (in log form). If the factors driving government 1044 November 2000 investment are fixed over time, then the fixed effect will be eliminated by this procedure. This would control, for example, the influence of agroclimatic factors on public investment decisions. More importantly, lagged instead of current government expenditures are used in the government infrastructure, technology, and education equations to capture the long lead times involved in translating actual government expenditures into productive capital stocks. The simultaneity between current productivity growth (or poverty reduction) and past government expenditures is likely small or even nonexistent. Nevertheless, just in case any remaining endogeneities exist, we endogenize government expenditures on various items as functions of lagged state GDP and terms-of-trade (ATT) in equations (12)–(19). It is expected that all coefficients are positive. Note that we do not need to control for agroclimatic variables because these drop out when the variables are expressed in growth form. Double-log functional forms are used for all equations in the system. (12) RDE = f(GDP−1 ATT) (13) ROADE = f(GDP−1 ATT) (14) IRE = f(GDP−1 ATT) (15) EDE = f(GDP−1 ATT) (16) GCSSL = f(GDP−1 ATT) (17) PWRE = f(GDP−1 ATT) (18) GERDEV = f(GDP−1 ATT) (19) GCSHEL = f(GDP−1 ATT) Data, Model Estimation, and Results Data Sources and Measurement We have panel data for most variables for fourteen states from 1953 to 1993.9 However, the system was estimated only for the period of 1970 to 1993 due to long lag effects of expenditures on productivity growth and poverty reduction. The years 1971, 1974–76, 1978–82, 1984–85, and 1991 were also deleted because of missing values. A total of 154 observations was used in the final estimation. 9 The states included are Andhra Pradesh, Bihar, Gujarat, Haryana, Karnataka, Kerala, Madhya Pradesh, Maharashtra, Orissa, Punjab, Rajasthan, Tamil Nadu, Uttar Pradesh, and West Bengal. Amer. J. Agr. Econ. The head-count ratio, which measures poverty as a percentage of the rural population falling below the poverty line, is used in the analysis. Other measures, such as the poverty-gap index, the squared poverty-gap index, and the Sen index, are also used by many scholars to supplement the head-count ratio. But the head-count ratio is the most important indicator used by the Indian government in setting its goals to alleviate rural poverty. The head-count ratio data used in this analysis were constructed by Gaurav Datt and published by the World Bank (World Bank 1997). Datt used the poverty line originally defined by the Planning Commission and more recently endorsed by the Planning Commission, which is based on a nutritional norm of 2,400 calories per person per day. It is defined as the level of average per capita total expenditure at which this norm is typically attained and is equal to a per capita monthly expenditure of Rs 49 at all-India rural prices for October 1973– June 1974. The TFP index is defined as aggregate output index minus aggregated input index and calculated by the authors.10 The road density variable is defined as length of road per unit of geographic area. The education variable is the literacy rate defined as the percentage of the total population that is literate. Public irrigation is defined as the percentage of the cropped area under canal irrigation, and private irrigation is defined as the percentage of the cropped area under well and tubewell irrigation. The electrification variable is the percentage of villages that have access to electricity. The rural wage used is the 10 A Tornqvist-Theil index is used to aggregate both inputs and outputs. Specifically, ∗ ∗ ln TFPt = i 1/2 (Si t + Si t−1 ) ln(Yi t /Yit−1 ) − i 1/2∗ (Wi t + Wi t−1 )∗ ln(Xi t /Xit−1 ) where ln TFPt is the log of the total factor productivity index; Wi t and Wi t−1 are cost shares of input i in total cost at time t and t − 1, respectively; and Xi t and Xi t−1 are quantities of input i at time t and t − 1, respectively. Five inputs (labor, land, fertilizer, tractors and buffalo) are included. Labor input is measured as the total number of male and female workers employed in agriculture at the end of each year; land is measured as gross cropped area; fertilizer input is measured as the total amount of nitrogen, phosphate, and potassium used; tractor input is measured as the number of four-wheel tractors; and bullock input is measured as the number of adult bullocks. The wage rate for agricultural labor is used as the price of labor; rental rates of tractors and bullocks are used for their respective prices; and the fertilizer price is calculated as a weighted average of the prices of nitrogen, phosphate, and potassium. The land price is measured as the residual of total revenue net of measured costs for labor, fertilizer, tractors, and bullocks. Fan, Hazell, and Thorat Government Spending, Growth and Poverty in Rural India male labor rate in real terms deflated by the consumer price index for rural labor. These variables were aggregated from district level data, which were obtained from the Planning Commission through the National Center for Agricultural Policy and Economics Research, New Delhi. Nonagricultural employment is measured as the percentage of nonagricultural employment in total rural employment.11 Data on nonagricultural employment are only reported by the NSS for every five years beginning in 1973. The data for other years were estimated by geometric interpolation.12 The terms of trade variable is measured as the change in agricultural prices relative to nonagricultural prices. The landless variable is measured as the percentage of rural households classified as landless. Since the data are only available every ten years beginning in 1953, the data for intermediate years were estimated by geometric interpolation. Government expenditure data by state were obtained from Finances of State Governments, various issues, published by the Reserve Bank of India. All the expenditures are deflated to 1960/61 prices using a national gross domestic product deflator.13 They include expenditures from both the current account (for maintenance) and the capital (investment) account. Agricultural R&D expenditure includes government expenditure on agricultural research and extension, while government expenditure on irrigation includes spending on irrigation and flood control. Government expenditure on roads, education, and power, and health in rural areas are calculated using the percentage of rural population in total population and total government expenditures on these items. GDP at the state level is measured in 1960/61 prices and is reported in the official 11 Employment is defined on the basis of the usual status (more than 50% of time) of workers in a particular employment category. 12 Interpolation between available data years is reasonable when the variable fluctuates little around its trend. This is more likely to be true for population growth or literacy than for employment. In order to check the reliability of the method for employment, we re-estimated the non-farm employment equation using only the years in which non-farm employment data are available (1972, 1977, 1983, 1987, and 1993). The coefficients of the new estimates differed only slightly, while the t values improved and the R2 became slightly smaller. 13 Ideally, government expenditures should be deflated using the state GDP deflators. But the state GDP deflators are not available to us. We do have a consumer price index for agricultural labor (CPIAL) by state over time. To conduct a sensitivity test, we used CPIAL to deflate the government expenditures. The final estimated results changed very little. 1045 state statistical abstracts. Table 1 summarizes the changes over the sample period in some of the key variables. Tests of Investment Lags Government investments in R&D, roads, education, power, health, and irrigation can have long lead times in affecting agricultural production, as well as long-term effects once they kick in. One of the thornier problems to resolve when including government investment variables in a production or productivity function concerns the choice of an appropriate lag structure. Most past studies use stock variables which are usually weighted averages of current and past government expenditures on individual investments like R&D. But the choice of weights and the length of the lags to use remains arbitrary. We used a free-form lag structure in our estimation procedure. Current and past values of government expenditures on different investments, such as R&D, irrigation, roads, power, and education, were included in the equations for productivity, technology, infrastructure, and education. Then statistical tools were used to test and determine the appropriate length of lag for each investment expenditure. Various procedures have been suggested for determining the appropriate length of lag. The adjusted R2 and Akaike’s Information Criteria (AIC) are used by many economists (Greene). We used the adjusted R2 criterion, and chose the lag lengths that maximized the R2 for each investment equation.14 This led to lags of thirteen years for R&D, eight years for irrigation, eleven years for education, seven years for power, and eight years for roads. These lags are quite short compared to much longer lags obtained for the United States (Pardey and Craig; Alston, Craig, and Pardey). Another problem that arises in estimating lag structures is that the independent variables (e.g., RDE, RDE−1 , RDE−2 and RDE−i in the TFP function) are often highly correlated, making the estimated coefficients statistically insignificant. Many ways of tackling this problem have been proposed. The most popular approach is to use what are 14 Another advantage of the single equation test is that the estimation is not constrained by missing values of the variables in other equations in the system (for example, poverty data), leading to more reliable estimates because of the larger number of observations. 1046 November 2000 called polynomial distributed lags, or PDLs. In a polynomial distributed lag, the coefficients are all required to lie on a polynomial of some degree d. In this study, a PDLs of degree 2 was used. In this case, it is only necessary to estimate three instead of i + 1 parameters for the lag distribution. For more detailed information on this subject, see Davidson and MacKinnon. Once the lengths of lags are determined, the simultaneous equation system with the PDLs and appropriate lag length for each investment can be estimated.15 Instead of using current and past expenditures, stock variables are used to measure the impact of government spending on health, rural development, and soil and water conservation. This is because these expenditures usually have relatively quick impacts on rural poverty. A three-year lag structure is used with the weights of 0.4, 0.3, 0.2, and 0.1 for the current year, t −1, t −2, and t −3, respectively. Results We used the full information maximum likelihood (FIML) technique to estimate the equations system. The results are presented in table 3. The estimated poverty equation (equation (1)) supports the findings of many previous studies. Improvements in agricultural productivity, higher agricultural wages, and increased non-agricultural employment opportunities have all contributed significantly to reducing poverty, whereas improvements in the terms of trade for agriculture significantly increase rural poverty. The incidence of landlessness and rural population growth are positively but insignificantly correlated with rural poverty. The GDP growth variable has a statistically insignificant impact on rural poverty reduction. This may be due to the fact that the impact of income growth on rural poverty has already been captured by other variables in the equation, such as growth in TFP, wages, and non-farm employment. The estimated TFP equation (equation (2)) shows that agricultural research and extension, improved roads, irrigation, and education have all contributed significantly to 15 The sums of the coefficients from PDLs and free forms lag structure are not significantly different for all types of expenditure except R&D. The summed coefficient of R&D expenditure from PDLs is substantially larger than that from free form lag structure (0.255 vs 0.090). Therefore, the estimated productivity and poverty effects from free forms lag structure are also substantially lower than those from PDLs distribution. Amer. J. Agr. Econ. growth in total factor productivity. The coefficient for agricultural research and extension is the sum of the past thirteen years coefficients from the PDLs distribution. The significance test is the joint t test of three parameters of the PDLs.16 On the other hand, rural electrification, government spending on health, rural development, and soil and water conservation are not statistically significant. The impact of state GDP growth on growth in agricultural TFP is small; in fact, the coefficient is statistically insignificant and negative. The estimated coefficients for equation (3) show that growth in TFP and increases in education and roads have significantly contributed to increases in rural wages, while rural electrification, government spending on rural development, health, and soil and water conservation have no significant impact on rural wages. The estimates for equation (4) show that nonagricultural employment increases significantly with roads and education, and government investments in rural development. Surprisingly, nonagricultural employment does not increase significantly with agricultural TFP. However, the coefficient for GDP is positive and statistically significant in the nonfarm employment equation, and this variable may be capturing the TFP effect. The estimates for equations (5) and (6) confirm that government investments in irrigation have significantly increased the percentage of the cropped area under irrigation, and that public irrigation contributes significantly to additional private irrigation. The estimated results for equations (7), (8), and (9) show that government investments in roads, education, and power have all contributed to the stock of these variables. The estimates for equation (10) show that growth in TFP does not lead significantly to any increase in the incidence of landlessness among rural households, the so-called “immiserizing growth” phenomena. The estimated terms of trade equation (equation (11)) confirms that increases in TFP do exert a significant downward pressure on agricultural prices, worsening the terms of trade for agriculture. It also shows that domestic agricultural prices are highly correlated with world agricultural prices. 16 The joint t test values are calculated following Greene 1993 (p. 187). (1) (2) (3) (4) (5) (6) (7) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) (19) P = −0034 − 0.171 TFP (−132) (−258)∗ TFP = −0026 + 0.255 TRDE (−078) (182)∗ + 0.0015 GCSSL (0.37) WAGE = −0035 + 0.129 TFP (−139) (186)∗ + 0.273 GDP−1 (1.32) NAEMPLY = −0029 − 0.058 TFP ∗ (−067) (−272) + 0.209 GDP−1 (260)∗ PUIR = −0021 + 0.087 TIRE (−066) (449)∗ PRIR = 0.017 + 0.918 PUIR (1861)∗ (223)∗ ROADS = 0.088 + 0.232 TROADE (283)∗ (459)∗ LITE = 0.087 + 0.067 TEDE (652)∗ (459)∗ PVELE = 0.107 + 0.072 TPWRE (256)∗ (634)∗ LANDN = −0011 + 0.026 TFP (−089) (0.72) TT = 0.025 − 0.175 TFP ∗ (−303)∗ (222) RDE = 0.107 + 0.363 GDP−1 (0.82) (220)∗ ROADE = 0.224 + 0.482 GDP−1 ∗ (0.31) (545) IRE = 0.478 − 0.431 GDP−1 ∗ (−053) (520) EDE = 0.123 + 0.336 GDP−1 ∗ (179)∗ (577) GCSSL = −0140 + 0.773 GDP−1 (2.31) (−352)∗ PWRE = 0.133 + 1.490 GDP−1 (1.02) (224)∗ GERDEV = 0.113 + 1.476 GDP−1 (356)∗ (249)∗ GCSHEL = 0.177 − 0.123 GDP−1 (−0224) (577)∗ − 0.185 WAGE (−224)∗ + 0.215 IR (183)∗ − 0.141 GDP−1 (−097) + 0.231 ROADS (228)∗ + + + + + 0.190 ROADS − (245)∗ 0.263 TT (2.52)∗ 0.242 ROADS (243)∗ 0.272 RAIN (547)∗ 0.062 PVELE (0.57) − 0.594 NAEMPLY + 0.024 LANDN + 0.320 POP−1 + 0.072 GDP−1 R2 = 0113 (−312)∗ (0.43) (0.31) (0.82) + 0.062 PVELE + 0.708 LITE + 0.012 GCSHEL + 0.022 GERDEV ∗ (0.60) (195) (0.39) (0.63) R2 = 0301 0.045 PVELE (−094) + + 0.939 LITE (201)∗ + 0.026 GCSHEL − 0.024 GERDEV + (0.83) (−088) 0.013 GCSSL (0.74) 0.710 LITE (327)∗ + 0.011 GCSHEL + 0.030 GERDEV − (0.24) (223)∗ 0.003 GCSSL (−037) R2 = 0093 R2 = 0311 R2 = 0087 + 0.067 PVELE (1.05) + 0.012 PVELE (0.87) R2 = 0697 R2 = 0147 R2 = 0277 R2 = 0028 + 0.511 POP−1 (182)∗ − 0.792 TFPn (−554)∗ + 0.550 ATT (239)∗ + 0.534 ATT (243)∗ − 0.254 ATT (−061)∗ − 0.075 ATT (−079)∗ + 0.594 ATT (232)∗ + 1.11 ATT (178)∗ + 0.677 ATT (311)∗ + 0.173 ATT (0.85) − 0.142 NAEMPLY (−146) + 0.271 WAPI (803)∗ R2 = 0059 R2 = 0363 R2 = 0028 R2 = 0018 R2 = 0020 R2 = 0056 R2 = 0151 R2 = 0017 R2 = 0292 R2 = 0058 1047 Note: Coefficients for expenditures on R&D (TRDE), irrigation (TIRE), roads (TROADE), education (TEDE), and power (TPWRE) are sums of coefficients of current and lagged expenditures. * Indicates significance at the 5% level or better. The t tests for TRDE, TIRE, TROADE, TEDE, and TPWRE were calculated for the linear combination of all the relevant coefficients of the lagged variables (Greene 1993, p. 187). Government Spending, Growth and Poverty in Rural India (8) Estimated Model Fan, Hazell, and Thorat Table 3. 1048 November 2000 The results for the equations determining public expenditure on different items (equations (12)–(19)) show that many government expenditures are positively and significantly correlated with GDP growth and improvements in the terms-of-trade. But the low R2 s obtained indicate that possible endogeneities with these variables do not significantly affect the estimated coefficients in other equations. This may be explained by the fact that using the first differences for all variables may have largely eliminated any endogeneity problems with the public expenditure variables. The estimated model shows that improvements in agricultural productivity not only reduce rural poverty directly by increasing income (equation (1)), but they also reduce poverty indirectly by improving wages (equation (3)) and lowering agricultural prices (equation (11)). On the other hand, improvements in agricultural productivity contribute to worsening poverty by increasing landlessness (equation (10)), though this effect is relatively small and insignificant. Rural Poverty Elasticities and Marginal Impact By totally differentiating equations (1) to (11), we can derive the marginal impacts and elasticities of different types of government expenditures on productivity growth and rural poverty reduction after allowing for all relevant direct and indirect impacts. These can be viewed as short- to mediumterm impacts because we ignore the impact of increases in income on future levels of public expenditure. The impacts of different types of government spending on rural poverty and agricultural productivity are shown in table 4. Two impact measures are presented. The first measure is the elasticity of each item of government spending, and this gives the percentage change in poverty or productivity corresponding to a 1% change in government expenditure on that item. Since all expenditures are measured in rupees, then these elasticities provide a measure of the relative growth and poverty reducing benefits that arise from additional expenditures on different items, where the increases are proportional to existing levels of expenditure. The second measure is the marginal return (measured in poverty and productivity units) Amer. J. Agr. Econ. for an additional Rs 100 billion of government expenditure. This measure is directly useful for comparing the relative benefits of equal incremental increases in expenditures on different items, and it provides crucial information for policymakers in setting future priorities for government expenditure in order to further increase productivity and reduce rural poverty. The marginal returns were calculated by multiplying the elasticities by the ratio of the poverty or productivity variable to the relevant government expenditure item in 1993. Table 4 also shows the number of poor people who would be raised above the poverty line for each Rs 1 million of additional investment in an expenditure item. An important result in table 4 is that there are sizable differences in the productivity gains and poverty reductions obtained for incremental increases in each expenditure item. Government expenditures on roads and R&D have far larger impacts on productivity growth and rural poverty reduction than any other investments, and both are attractive win-win investments. Roads expenditure has a bigger impact on poverty than R&D (45% larger), but R&D has the biggest growth impact (154% larger). If the government were to increase its investment in roads by Rs 100 billion (at 1993 constant prices), the incidence of rural poverty would be reduced by 0.65%. Moreover, for each one million rupee increase in investment in roads, 124 poor people would be lifted above the poverty line. This compares with eighty five people raised above the poverty line if an additional million rupees is invested in R&D. Investment in roads reduces rural poverty through productivity growth, but also through increased nonagricultural employment opportunities and higher wages. Because the marginal impact is calculated as a total derivative of the equations system, it can be decomposed into its various direct and indirect components (Fan, Hazell, and Thorat). The productivity effect accounts for 31% of the total impact on poverty, nonagricultural employment for 49%, and the remaining 20% is accounted for by increases in rural wages. Of the total productivity effect on poverty, 75% arises from the direct impact of roads in increasing incomes, and the remaining 25% arises from lower agricultural prices (17%) and increased wages (8%). Increases in the incidence of landlessness arising from productivity growth has no Fan, Hazell, and Thorat Table 4. Poverty and Productivity Effects of Government Expenditures Elasticities Expenditure variable −0060 −0009 −0050 −0053 −0003 −0001 −0019 −0001 t value −206∗ −196∗ −255∗ −364∗ −164 −152 −368∗ −113 TFP 0255 0036 0057 0047 0004 00015 0022 0012 t value 182∗ 223∗ 269∗ 263∗ 064 037 063 039 Poverty (% Point) TFP (% Point) No. of Poor Reduced (per 100 billion rupees at 1993 prices) Rank Rank −045 2 601 1 −005 7 061 4 −065 1 237 2 −022 3 062 3 −0003 8 012 8 −012 5 043 6 −013 4 049 5 −009 6 038 7 (per million rupees) Rank 845 2 97 7 1238 1 410 3 38 8 226 5 255 4 178 6 Note: Numbers in parentheses are ranks. “*” indicated significance at the 10% level. The t values are estimated using a procedure proposed by Greene (1993, p. 221). A liner Taylor series approximation to the nonlinear restriction is used, using the large-sample properties of the estimates. Government Spending, Growth and Poverty in Rural India R&D Irrigation Road Education Power Soil and Water Rural Development Health Poverty Marginal impact 1049 1050 November 2000 significant impact on rural poverty. One reason that R&D investments have a smaller impact on poverty is that they work entirely through improved productivity; there is no direct expenditure benefit for the poor. Government spending on education ranks as a distant third in its impact on rural poverty and agricultural productivity. An additional one million rupees invested in education raises forty one people above the poverty line. Most of this effect is from more nonfarm employment opportunities and increased wages. Government expenditures on rural development and soil and water conservation have the fourth and fifth largest impacts on poverty reduction, respectively, and an extra one million rupees of either investment would raise a little over twenty people above the poverty line. In addition, these types of expenditure have no statistically significant productivity impacts, and hence do not contribute to long-term solutions to the poverty problem. In fact, in many regions, these types of investments were mainly used by the government to alleviate poverty, particularly during the drought years. Government expenditure on health ranks sixth in terms of its impact on poverty; each one-million-rupee increase in expenditure on health raises eighteen poor people above the poverty line. Irrigation expenditure ranks seventh in terms of its impact on rural poverty, but ranks rather higher (fourth) in terms of its impact on productivity growth. Government expenditure on power has a positive but negligible impact on both rural poverty reduction and productivity growth. This may be because the government has already invested heavily in rural electrification and the marginal returns from additional investments are now low. Not only is the size of power expenditure relatively large in the government’s budget (50% greater than road expenditure in 1993), but current (operational) expenditure has also increased enormously since 1990. Conclusions Using state-level data for 1970 to 1993, a simultaneous equations model was developed to estimate the direct and indirect effects of different types of government expenditure on rural poverty and productivity growth in India. The results show that government spending on productivity-enhancing investments, such as agricultural R&D and irrigation, rural infrastructure (including roads and Amer. J. Agr. Econ. electricity), and rural development targeted directly to the rural poor, have all contributed to reductions in rural poverty, and most have also contributed to growth in agricultural productivity.17 But their poverty and productivity effects differ greatly. Government expenditures on roads and R&D have by far the largest impacts on poverty reduction and growth in agricultural productivity; they are attractive win-win strategies. Government spending on education has the third largest impact on rural poverty and productivity growth. Irrigation investment has had only modest impacts on growth in agricultural productivity and rural poverty reduction, even after allowing for trickle-down benefits. Government spending on soil and water conservation, and on rural and community development, including the Integrated Rural Development Program, has successfully helped reduce rural poverty, but its impact has been smaller than expenditures on roads, agricultural R&D, and education. Government health investment had no impact on productivity growth, and its effect on poverty alleviation through wage increases was also very small. The results of this study have important policy implications. To reduce rural poverty, the Indian government should increase its spending on rural roads and R&D. These types of investment not only have a much larger poverty impact per rupee spent than any other government investment, but also generate higher productivity growth. R&D investments have a larger growth impact than roads, but their poverty impact is smaller. But perhaps even this tradeoff could be reduced if R&D were targeted more specifically on the problems of poor farmers and regions than it has been in the past. On the other hand, government expenditures on rural development are an effective way of helping the poor in the short term, but because they have little impact on agricultural productivity, they contribute little to long-term solutions to the poverty problem. 17 The results we obtained from this study differ sharply from Datt and Ravillion (1997) who used state aggregate development expenditures and found insignificant correlation with rural poverty reduction. In another study, Sen (1997) found that while the aggregate state expenditures have a positive and significant impact on rural poverty, he failed to obtain similar results when using individual items of government expenditures. This may be due to the different specifications of the models. Fan, Hazell, and Thorat Government Spending, Growth and Poverty in Rural India [Received February 1999; accepted March 2000.] References Ahluwalia, M.S. “Rural Poverty, Agricultural Production, and Prices: A Reexamination.” Agricultural Change and Rural Poverty. J. Mellor and G. Desai, eds. Baltimore MD: Johns Hopkins University Press, 1985. Alston, J., B. Craig, and P. Pardey. “Dynamics in the Creation and Depreciation of Knowledge, and the Returns to Research.” EPTD Discussion Paper No. 35. Washington DC: International Food Policy Research Institute, 1998. Bell, C., and R. 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