Policy Rosearch j WORKING PAPERS Public Economics Policy Research Department The World Bank September 1993 WPS 1178 Productivity of Public Spending, Sectoral Allocation Choices, and Economic Growth John Baffes and Anwar Shah The model results suggest that reshaping public spending priori- ties in favor of human resource development and away from military spending would positively stimulate world economic renewal. PRcy pR-o WodsPapas t6 of propesp and cacouagetheexchange dides amongBPnk staffand sUcths intaeaed in dvcl vng lexpap, dimbutedby fiRahAdvyStaff,cy "-offlwauth-euftd ly theirviews,andshould ouand ciudaccordingly.Thefindhn,intelations, ando aetheauthon'Own. 1heyshould not be tatibuted to dte Wodd Bank. its Board of Di;,tois its managunro, X any of its manbo counimes. Policy Reseach Public Eoonomlc WPS 1178 This paper - a product of the Public Economics Division, Policy Research Department- was prsented at the 1993 Annual Meetings of the American Economic Association in Anaheim, California, iii January 1993. Copies of the paper are available free from the World Bank, 18i3 H Street NW, Washington, DC 20433. Please contact Carlina Jones, rom NA0-063, extension 37699 (September 1993, 15 pages). Baffes and Shah examine the composition of private capital and labor. Output elasticity of public spending and its implications for eco- infrastructure capiWa1 was found to be relatively nomic growth. small, with the exception of Latin American countries where it exhibited relatively high They use a translog production function by values. Militar! capital had negative output treating gross domestic product as the output and elasticity in slightly more than half of the cases labor, private capital, and several types of public considered. sector capital slocks as the inputs, using time- series data for 25 countries for 1965-84. The rsults suggest that reshaping public spending priorities in favor of human resource Thn production functions of all but four development and away from military spending countries exhibited increasing returns to scale. would positively ,timulate world economic The highest output elasticity was for human renewal. resource development capital, followed by The Policy Research Working PaperSeries disseminates terfindings of work wnder way in theBaniL Anobjecaveofthe sties| is to get these findings out quickly, evenl if presentations are less than fully polished. The findings, interetations, and conclusions in these papers do not necessarily represent official Bank policy. ,,Produced by the Policy Research Dissemination Center -) 0\t ,> ,39 PRODUCTIVITY OF PUBLIC SPENDIANG, SECrTORAL ALLOCATION CHOICES AND ECONOMIC GROWTH John Baffes and Anwar Shale The World Bank This paper was presented at the 1993 Annual Meetings of the American Economic Association, Anaheim, Califorrua, January 5-8, 1993. The authors are grateful to the session participants (David Canning, Michael Dietch, Charles Hulten, Dale Jorgenson, Ishaq Nadiri and Robert Schwab) for comments, and to Costas Christou for substantial input. They would also like to thank Lawrence Summers for inspiration for this paper and Nancy Birdsall, Sadiq Ahmed, GobindNankani, JavadKhalilzadeh-Shirazi, WilliamMcCleary, AntonioEstache, Vikram Nehru, Michael Stevens, Shanta Devarajan, Vinaya Swaroop and Min Zhu for comments. Please address correspondence to: Anwar Shah, Principal Economist, Public Economics Division, Policy Research Department, The World Bank, Room N1O-053, 1818 H Street, N.W., Washington, D.C. 20433. Tel:(202)473-7687, FAX:(202)676-0025 PRODUCTIVITY OF PUBLIC SPENDING, SECTORAL ALLOCATION CHOICES AND ECONOMIC GROWT 1. INTRODUCTION Government deficits especially in developing and emerging market economies have been rising at an alarming pace in recent years. Some countries have responded to this fiscal crisis by reducing public spending on infrastructure and human resource development. At the present time, policymakers di not appear to have access to any empirical evidence on the sectoral allocation of public investmem and its implications for economic growth. Such evidence, as pointed out by Summers (1991, 1992) is vital in making tough choices on public spending priorities. In the absence of this empirical guidance, Summers suggested that in the developing world at least a pnima facie case can be made to protect public investment in critically deficient aspects of infrastructure and female eduication. According to .ecent advances in endogenous growth theory, factors contributing to the crors-country differences in both the level of per capita income and the growth rates are: investment in human capital (Lucas, 1988), knowledge spillovers (Romer, 1989), and investment in physical capital and infrastructure (DeLong and Summers, 1990; Murphy et al., 1989). Looking at the microeconomic aspect of those issues, a number of recent studies have reflected on the productivity of public spending on infrastructr (see e.g. Aschauer, 1989; U.S. Congress, 1991; Shah, 1988, 1992; Berndt and Hansson, 1992; Richards, 1992; Lynde and Richmond, 1993). However, sectoral allocation of public investment (i.e. on infrastructure, human resource development capital, defense capital, etc) and its implications for economic growth remains largely an unexplored area of research. This paper takes an important first step in the above direcdon. Specifically, it employs a flexible production structure methodology where various public and private inputs interact and contribute to national output. Public capital is disaggregated into infrastructure, human resource development and military capital stocks. Based on an analysis of time-series (1965-84) and cross-section (25 countries) data, the paper concludes tF 4 public investment in human resource development provides a stimulus for economic growth, whereas the contribution of military spending to economic growth appears to be negative for a substantial number of countries. 1 Thus, the paper fmds some empirical support for the development strategy that argies for curtailment of public spending on defense and higher spending on education training and health. The rest of the paper is organized as follows. Section 2 provides a description of the empirical framework within which the estimation procedures will be carried out, while section 3 describes the data used. Section 4 presents and discusses the econometric results. Finally, a concluding section addresses the policy implications of results. 2. MODEL SPECIFICATION AND ESTIMATION The Solow-type models (Solow, 1957) postulate that a country's output can be represented by a well-behaved aggregate production relationship of the following form: (1) Q -.fK; t), where Q denotes a measure of aggregate output, K is a vector referring to measures of different types of inputs used in the production process (typically laoor and physical capital), while t represents time and is supposed to capture technical change. With a few exceptions, relationship (1) is approximated by a Cobb-Douglas type of technology.' In response to the limited class of variables included in K, another body of literature has emerged. This body of literature uses cross-country regressions in order to detect linkages between growth rates and a variety of economic indicators.2 The obvious advantage of the latter class of models is the flexibility of including a variety of explanatory variables. However, the structure of this (linear) formulation does not allow one to detect any substitutability or complementarity conditions among factors of production that might be present. In order to account for the inflexibility of Cobb-Douglas fumntion and at the same time take into account the fact that factors of production may be substitutes or complements with one another, relationship (1) is approximated by the following translog specification (Christensen et al, 1973): n n a (2) InQ - ao + Ea1lnK, + (1/2) E a InKKj + yt + ,, 1-1 t1 -1U 2 where u, is an error term assumed to possess all classical statistical properides, while c& c*i, cr and 'y denote parameters to be estimated, with a = ct,,; one can impose constant returns to scale in (2) by restricting the parameters as follows: crai - I = ,acr = 0, v i, j. However, since one of the major objectives of this study is to test rather than assume such a structure, we considered the unrestricted version of the model. Differentiation of (2) with respect to input i gives the marginal product of input i, which expressed in elasticity form defines the output elasticity with respect to input i: (3) e 3 s aInQ ~ at +