POLICY RESEARCH WORKING PAPER 1284 The Soviet Economic 'WVhat led to the relatKa Soviet decline was reliance on Decline capital accumulation and a low elasticity of substitution between capital and labor. Historical and Republican Data Planned economies are apparently less successful at replacing labor effort with capital. Tentativ" evidence Stanley Fischer indicates that the burden of defense spending also contributed to the Soviet debacle. The World Bank Policy Research Departnent Macroeconomics and Growh Division AprilI1994 POLICY RESEARCH WORKING PAPER 1284 Summary findings Soviet growth for 1960-89 was the worst in the world, market economies, and whether this difficulty was after controlling for investment and human capital. And related to the Soviets' planned economic system.) relative performance worsens over time. Tentative evidence indicates that the burdeni ut defelns Easterly and Fischer explain the declining Soviet spending also contributed to rhe Soviet debacle. growth rate from 1950 to 1987 by the declining Differences in growth performance betweern tile SuvOe marginal product of capital. The rate of total factor republics are explained by the same factors that tigure in productivity growth is roughly constant over that period. the empirical cross-section growth iiterature: i, .al Although the Soviet slowdown has conventionally been income, human capital population growth, anO the attributed to extensive growth (rising capital-to-output degree of sectoral distortions. The results Easteily and ratios), extensive growth is also a feature of market- Fischer got with the Soviet Union in the internaiurial oriented economies like Japan and Korea. One message cross-section growth regression indicate that the planneui from Easterly's and Fischer's results could be that Soviet- economic system itself was disastrous for long-i un style stagnation awaits other countries that have relied on economic growth in the Soviet Union. extensive growth. The Soviet experience can be read as a This point may now seem obvious but was not so particularly extreme dramatization of the long-run apparent in the halcyon days of the 1950s, wliei, the consequences of extensive growth. Soviet case was often cited as support for the neuLiassical What led to the relative Soviet decline was a low model's prediction that distortions do not havL 5Leady- elasticity of substitution between capital and iabor, which state growth effects. Since a heavy degree of piloining caused diminrishing returns to capital to be especially and government intervention exists in many countries, acute. (The natural question to ask is why Soviet capital- e, eciallv developing countries, the ill fated Soviet labor substitution was more difficult than in Western experience continues to be of interest. This paper - a product of the Macroeconomics and Growth Division, Policy Research Department - is part of a larger effort in the department to study the determinants of long-run growth. Copies of the paper are available free from the Worid Bank, 1818 H Street NW, Washington, DC 20433. Please contact Rebecca Martin, room NI 1-043, extension 3 1320 (56 pages). April 1994. The Policy Research Working Paper Series disseminates the findings of work in progress to encourage the exchange of ideas about development issues. An objective of the series is to get the findings out quickly, even if the presentations are less than fully polished. The papers carry the names of the authors and should be used and cited accordingly. The findings, interpretations, and conclusions are thc authors' own and should not be attributed to the World Bank, its Executive Board of Directors, or any of its member countries. Produced by the Policy Research Dissemination Center THE SOVIET ECONOMIC DECLINE: HISTORICAL AND REPUBLICAN DATA' William Easterly World Bank, Room N-i 1-043 1818 H Street NW Washington DC 20433 and Stanley Fischer Department of Economics MIT Cambridge MA 02139 Easterly is in the Macroeconomics and Growth Division at the World Bank, and Fischer in the Department of Economics at MIT, and a Research Associate of the NBER. Views expressed here are not to be attributed to the World Bank.We are grateful to Karen Brooks, Alan Gelb, Eugene Gravilenkov, Barry Ickes, Barry Kostinsky, Martha de Melo, Gur Ofer, Sergio Rebelo, Bryan Roberts, Marc Rubin, Randi Ryternan, Martin Schrenk, Marcelo Selowsky, Michael Walton, and Alwyn Young for comments and useful discussions while writing this draft, to seminar participants at MIT, the University of Michigan, the Federal Reserve Board, and the World Bank, to Professor Mark Schaffer of the London School of Economics for kindly making his historical Western, official, and Khanin data available in machine readable forn, and to Elana Gold and Mary Hallward for diligent research assistance. 2 While the final collapse of the Soviet Union and Soviet communism now appean to have been inevitable, It is esendal to try to pinpoint the causes of the economic decline, without which the Soviet Union would still exist. The different accounts of the causes of declining Soviet economic growth developed by Bergson (1387b), Desai (1987), Ofer (1987), Weitzman (1970) and others emphasize: the Soviet reliance on extensive growth which, given the slow growth of the labor force and the failing marginal productivity of capital, eventually ran out of payoff; the declining rate of productivity growth or technical progress associated with the difTiculties of adopting and adapting to the sophisticated technologics being introduced in the West (including East Asia as part of the West); the defense burden; and a variety of special factors relating to the absence of appropriate incentives in the Soviet system, including corruption and demoralization. In this paper, we first place the Soviet growth performance in an international context using the empirical cross-section growth literature. In section 1, we start with an overview of the data and of the Soviet growth record, comparing it to other countries using a standarcd growth regression. We compare the Soviet pattern of extensive growth (rising capital to output ratiom) to other countries. We reexamine and update Soviet-level production function estimates based on the official, unofficial (by the Russian economist Khanin)l and western data, as well as examining other historical indicators of the Soviet growth pattern. In section 11, we turn to a new data set: official data on republican output, capital stocks (both in constant, or as the Soviets called it, comparable prices), and employment by sector. These data have not previously figured in the Western literature on Soviet growth2. The fact that the republics will now have to operate as independent economic units adds interest to our republican-level 1Ericson (1990) argues that the Khanirn data are preferable to the western data created by Bergson and others; Bergson (199la, 1987a) criticizes the Khanin data for a poorly documented methodology and the apparent use of unweighted averages of physical indicators. Harrison (1993) provides a more sympathetic analysis of Khanin's data, emphasizing his attempts to adjust for the reporting biases inherent in the Soviet statistical system. We are grateful to Professor Mark Schaffer for making the Khanin data available. 2The republican data were provided by Goskomstat of the Commonwealth of Independent States and by the Center for Economic Analysis and Forecasting at the Ministry of Economics, and are available from Easterly at the World Bank, 1818 H Street NW, Washington, DC 20433, We rescaled the data to reconcile different base years for the data in compareble prices. 3 reso. We disus the patterns of growth by sector and republic, exploring crou-section correlations beow growth of the Soviet republics or sectors and conventional right-hand side variables used in growth regressions. In the conclusion, we offer some thoughts on interpretation of our results. 1. Ihe Soviet Growth Record lhe ftndamental problem in evaluating Soviet growth is data qualir .3 Ofcial Soviet output data overstate growth, as a result of both methodological problns - particularly in deflating nominl d"a, and inentives to mis eport output within the Soviet system. Western analysis of Soviet growth relies on the elsic studies of Bergson (1961), and other., as well as the CIA, which makes the working assumption that physical quantities as presented in the otlicial data were not systematically misreported. Thus the difference between the western estimate that per capita Soviet GNP increased between 1928 and 1987 by 3.0 percent per annum (4.3 percent for aggregate GNP) and the official estimate for NMP per capita of 6 percent per snnum results mostly from pricing corrections, and also from differences m the coverage of NMP and GNP.4 The classic western estimates generally assume that Soviet invetment nd capital data are more accurate than output data (Bergson (1987a), a view disputed by Wiles (1982)). The western data through 1985 are conveniently summarized in Ofer (1987). We use four different data sets in the empirical work in this paper: (1) The official Soviet Union-wide data on real output, industrial production, employment, and the capital stock in the material sector in 1973 rubles, taken from official sources; (2) Western data on output, industrial production, employment, and the capital stock, for the Soviet Union as a whole: including (a) the Powell(1963)/CIA(1982)/CIA (various years) series on value added and capital stocks in indunry, and 3T1his discussion draws on material in Fischer (1992). 4The Soviet concept of Net Material Product omitted from GNP services not directly related to production, such as pasenger transportation, housing, and the output of government employees not producing material output. 4 (b) the Moorsteen-Powell(1966)/Powell(1968)/CIA(1982)/CIA (various years)/Kellogg(1989; series on GNP, labor input, and capital stock for the entire economy. These series are chain linked, using 1937 rubles for 19289-60, in 1970 rubles for 1960-80, and 1982 rubles for the 198ts. (3) Khanin's data, from Khanin (1988), also at Soviet Union-wide level, for output, employment and the capital stock in the material sector; and (4) Republic-level data on aggregate and sectoral output and inputs in the material sectors for 1970-90 in constant rubles, which were made available by (ioskomstat. The direct source of our datasets (1) through (3) is Gomulka and Schaffer (1991), who spliced together series from the sources described. Note that the Khanin data are presented for the material sectors (i.e. not including consumer services), as are the official data. Our preferred dataset for the aggregate data will be (2); the others are presented to test the robustness of the conclusions to alternative estimates of outputs and inputs. A) SOURT GROWTH IN INTERMATIONAL COMPARSON Growth rates of series in the first three data sets for different periods are presented in Table 1. The Western output per worker growth rates are well below the official rates, with the Khanin data in turn below the Westem data. All series show growth declining sharply since the 1950s. How does the Soviet growth record compare to the rest of the world? We use the Western GDP series to compare Soviet per capita growth over 1960-89 with World Bank per capita growth rates for 102 countries (we look here at per capita ratiner than per worker growth to enlarge the sample of comparators and make it consistent with the cross-section growth literature). The first column of Table 2 shows that Soviet per capita growth has been slightly above the global average over both 1960-89 and 1974-89. However, Soviet growth no longer looks respectable once we control for the standard growth detemiinants from the empirical literature. The last column of Table 2 shows the residual from inserting the Soviet Union into the core regression of Levine and Renelt (1992), which relates growth to initial income, population growth, secondary enrollment, and the investment ratio to GDP. The Levine-Renelt regression including the Soviet Union is as follows: S Per cap ha growth 60-89- -0.83 + 17.49 Inwstment 60-89 -.35 GDP per cavita 1960 + (85) (2.68) (14) 3.16 * Secondary enrollment 1960- .38 Population growth 6089 - 2.34 Dummyfor USSR (1.29) (22) (1.43) 103 observatioas, R2 -.46. (standard errors in parentheses) Except for population growth, Levine and Renelt showed these variables to be robust to alternative specifications in growth regressions (although concerns about endogeneity remain). The regression results are identical to the Levine-Renelt original since we are dummying out the Soviet observation. Excepting initial income. the values of the Soviet right-hand side variables should have implied very rapid growth-population growth was low, and secondary education and the investment ratio were near the top of the distribution. Growth was only average, hence the large negative residual of 2.3 percentage points in 1960-89. It is notable that the only countries with worse residuals are generally both small and poor: Surinaine, Jamaica, Guinea-Bissau, Liberia, Zambia, and Peru. Soviet per capita income in 1989 was only half of what it would have been if the average relationship between growth and the right-hand side variables had held over 1960-89. The Soviet residual in this OLS regression is not actually significant in a two-sided test at the 5 percent level. However, the presence of so many small and poor countries among the large outliers makes us suspect heteroskedasticity. The suspicion is justified. We split the 1960-89 sample into thirds on the basis of total real GDP (i.e. population times PPP per capita income) and rerun the above regression for the top and bottom thirds ranked by total GDP. (The USSR is included in the top third ranked by total GDP and we continue to dummny it out.) The Goldfeld-Quandt test statistic for heteroskedasticity - which is equal to the ratio of the sum of squared residuals in these two subsample regressions and is distributed as an F statistic with the number of degrees of freedom of the numerator and denominator corresponding to the degrees of freedom in the subsample regressions - indicates that we can reject homoscedasticity. The test results are as follows: Sum of squared residuals in third of sample with lowest real GDP: 88.3 Sum of squared residuals in third of sample with highest real GDP: 33.9 F (29, 28) = 2.61 (significant at 1 percent level) 6 3aod on the test results, we now perform weighted least square using the lo of total real GDP u the weighting series. The results are now as follows: Per capita growth 60-89- - 0.43 + 15.93 Investment 60-89 -.28 GDP per capita 1960 + ( 73) (2.19) (.08) 2.56 * Secondary enrollment 1960 - .24 Population g&owth 60-89 - 2.28 Dummyfor USSR (0.73) (.16) ;3. 48) 102 observations, R2 (weighted) -.84. R2 (unweighted) =-41. The Soviet dummny becomes highly significant with weighted least squares, with a t-statistic of 4.8. Taking into account that only countries doing worst than the USSR were small economies makes the Soviet performance look even worse. After correcting for heteroskedasticity, the Soviet economnic performance conditional on investment and human capital accumulation was the worst in the world over 1960-89. How does the comparative Soviet performance evolve over time? Since the World Bank data used by Levine and Renelt begins only in 1960, we compare the Soviet performance also with the cross-country Summers-Heston (1991) dataset that extends back to ' )50. We perform a pooled time- series, cross-section regression using decade averages for the same specification as before (except that we have to unfortunately omit the secondary enro!lment variable for lack of reliable Soviet data for the 1950s). We use the same Soviet data as in the previous regression, but now broken down by decade. We put intercept dummies for each decade, as well as a separate Soviet dummy for each decade. We continue to use weighted least squares with the weighting series being the log of total GDP, as the Goldfeld-Quandt statistic still indicates a significantly larger variance for small economies.5 The results are: 5The F-statistic for the ratio of the sum of squared residuals in the bottom third to that in the top third of the sample ranked by total GDP (in PPP prices from Summers-Heston (1991)) is F( 124,121)=2.03, which is significant at the I percent level. 7 Pr. cpia roih by dwca - 0 022 +.120 InvestmenGDP by dck - I 5E 06 GDPp capiet, initialye.y (005) (016) (3.6E-07) .626 Popidauongrowh bydwde + .005 60sdummy- .005 70sdummy-.015 80 dummy (143) (.004) (.O33) (003) + .024 Dummyfor USSR 50s - 008 Dummyfor USSR 60s - 017 Dummyfor USSR 70s (01)) (010) (009) -. 023 DumyYfor USSR 80J (009) 391 obueruao., R2 (wighte) -.54, R2 (unweighied) -.26 As is well known, world economic growth decelerated in the 70s and even more in the 80s. However the Soviet growth deceleration is notable even by comparison with the world pattemn: Scviet economic mrowth was significantly above the world average in the 1950s, and significantly below even the poor world growth of the 1980s. Note especially the good performance of the Soviet Union in the 1950s, even controlling for high investment: it suggests that whatever the weaknesses of Soviet central planning in hindsight, these weaknesses were unlikely to have been apparent prior to 1960. 5) POSSIBLE EXPLANATIONS FOR POOR AND DECNING SOVIET GROWTH We now consider other possible factors in the relative Soviet decline, including the defense burden, demoralization, and Soviet disincentives for innovation. Could the poor and declining growth performance be explained by the burden of defense on the Soviet economy? Although measurement is problematic, the burden seems to have been high and rising. In Table 3, we show some estimates of the Soviet defense burden as a share of GDP. Over the entire period since 1928, Soviet defense spending has risen from 2 percent of GDP to the much higher levels of the mid-and late-1980s, of around 15-16 percent of GDP. Over the period 1960-89 in which the Soviet growth decline occurred, the rise in the defense burden is more modest - from 10-13% in 1960 to 12-169% in the 1980s. The international evidence for adverse effects of defense spending on growth is ambiguous - see Landau (1993) for a recent survey. Landau (1993) himself finds an inverted U relationship: military spending below 9 percent of GDP has a positive effect on growth, but defense above 9 percent of GDP has a negative effect on growth. To see whether this affects the Soviet dummy in the growth regressions, we insert defense spending into the decade-average growth regressions performed earlier. We also include a variable meaurin war casualties per capita on national torritory to inswu that the military spending variable is not simply proxying for wars. Because the military spending data is only available for recent periods, we use data from the 1980. only.6 The regression including a quadratic function of military spending is as follows: Per capita growth 198C-88 - -0.003 + i 27 InvwtmeP/GDP 1980-88 2. 7E-064 GDP per capita 1980 + (017) (038) (. IE-06) -1. 34 Population growth, 1980-88 + .007 Secondary enrollment 1970 + .0081 MilItory spending/GDP (38) (017) (.0024) -.00041 (Miltary sp.ndlng/GDP)2 -0.746 War caswalti per capita -.0155 Dummyffor USSR (0001) (0.343) (.0268) IS wigshted by log of total GDP. 77 observation,, R2 (weighted) -.59, R2 (unrnwighted) -.30 Standard ecors in penthes. We confirm Landau's result of an inv'ted U-shaped relationship between growth and defense spending. Military spenduig reduces the magnitude and significance of the Sovie; dummy. However, as Landau also noted '-is result is not very robust - omitting Syria and Israel from our sample eliminates the significance of military spending. The defense explanation for the Sov.et decline is plausible but not firmly established with cross-section data. We will test the defense hypothesis further with the Soviet time series in the production function estimates below. Another hypothesis about the Soviet growth decline is that it was related to the increasing demoralizatioi. of the population, or alternatively to the increasing breakdown of worker discipline. This breakdown of discipline could have resulted from the gradual opening up of the Soviet systern, and the declining reliance on state terror. Demoralization is obviously hard to measure, but we present some fragments of evidence. One statistic relevant to demoralization is shown in Figure 1, which represents the results of a survey of emigres which asked how satisfied they had been with the standard of living in the USSR. The young had been less suisfied than the old. Among the many possible explanations for these results is that 6Landau only coven developing countries, so we use instead dat from Hewitt (1993) dut covers all countries (including the USSR itself). The data for both Landau and Hewitt is mainly from SIPRI (the Stockholm Intemational Peace Resarch Institute). The data on war casualties is from Eaterly, Kremer, Pritchett, and Summers (1993). 9 declining growth and disappointed expectations among the young were mutually reirfbrcinr.7 Other indicators of life in the Soviet Union also support the idea of a system breaking down. Westem specialists were amazed to leam that Soviet male life expectancy actually declined in the 1970s while other countries' (male) life expectancy rates were rising(Fiiure 2). Soviet life expectancy wu declining even though per capita income growth was slightly above the world average, as we have seen. There was a recovery in Soviet life expectancy in the 80s, but the USSR was stUi supassed during the decade by developing countries like Mexico.' Another possible explanation for poor and declining Soviet growth could be adverse incendves under central planning for technological innovation (Berliner (1976)). A recent theoretical and empirical literature argues that endogenous technological innovation, as measured by resources devoted to research and development (R&D), significantly explains reladve growth performance across countries (Coe and Helpman (1993), Lichtenburg (1992), Romer (1989); see Birdsall and Rhee (1993) for a dissenting view). Westem estimates of the Soviet research effort, presented in Figure 3, show R&D spending rising as a share of GNP. The R&D share is above the 2-3 percent in the leading industrialized countries. In 1967, about 1.5 percentage points of this was estimated to be for defense and space (Bergson, 1983). The share of defense and space R&D in total R&D is believed to have fallen over 1959-84 (Acland-Hood (1987)), implying an even steeper rise in civilian R&D. The data on Soviet R&D thus go in the wrong direction to explain either poor Soviet growth on average or the fall of Soviet growth over timne. 7Among the other explanations: the young are chronic complainers; the old remember the period of much lower consumption before the rapid Soviet growth of the 1950s; the authorities resisted emigration by the young, so that any young emigre had to be more determined and disgruntled than the average emigre. Al>, since the original source did not report standard deviations within the sample groups, we are unsure whether the differences are statist,cally significant. 'One factor could have been the sharply rising consumpdon of alcohol in the 60s, 70s, and early 1 980s, which itself may be an independent indicator of demoralization (TremI 1991). However, we are reluctant to make too much of this since some countries with rapid income increases - like Korea - ilso had shaply rising alcohol consumption. 10 C) THE EA7ENSIVE GROWrH HYPOTHESIS As noted, in the introduction, the conventional hypothesis for the Soviet growth decline is the pattem of extensive growth, defined by Ofer (1987) as a rising ca; ital-output ratio, Figure 4 shows the evolution of the capital-output ratios implied by the alternative data series for 1950-87.' The wstern series shows the capital-output ratio increasing two and & half times between 1950 and 1987. The official series also rises steadily beginning at the end of the S0s, more thar. doubling tetween 1958 ad 1987. The Khanin data, by contrast with the other two series, show only a small increase in the capital-output ratio between the early 1950s and 1987. The capital-output ratios in industry first decline in the S0s and then rise sharply after 1960, according to both Western and official estimates. The behavior of the capital-output ratio is central to the debate about whether reliance on extensive growth was the Achilles' Heel of Soviet industrialization, as the conventional wisdom has it. In the neoclassical model, a rising capital-output ratio implies capital deepening during the transition to a higher steady state, but this capital deepening will sooner or later run into dininishing returns that will cause growth to slow or stop. The Soviet reliance on capital deepening is implicitly contrasted with market economies, where according to the famous Kaldor stylized fact, capital-output ratios remain relatively stable (recently reaffirmed by Rorrer (1990)). A constant capital-output ratio is consistent with neoclassical steady state growth with labor-augmenting technical change. King and Rebelo (1993) argue that capital deepening cannot account for much of sustained economic growth in the neoclassical model without implying imnplausibly high rates of return to capital early in the transition process. Nevertheless, recent research on capital accumulation in market economies casts doubt on whether the Soviet extensive growth experience was unique. Appendix 1 lists the per annum growth rates of the capital-output ratios in a selection of recent growth accounting studies and a few older ones. All studies agree that the capital-output ratio in the U.S. has remained remarkably constant, which 9We begin the graphs in 1950 because we wre puzzled by the extreme volatility of all of the capital-output series before 1950. We conclude that more even than the usual caution should be attached to results that rely on pre-1950 data. 11 perhaps accounts for the conventional wisdom that Kaldor's stylized fact holds. However, a number of recent studies point to capital-output ratios rising at Soviet-style rates in Jpn and in some of the E'st Asian NICs such as Korea (Young (1993b), Kim and Lau (1993), King and Levine (1994), Benhabib and Spiegel (1992), Nehru and Dhareshwar k,.993)). Moreover, the latter three, cross-country, studies show that rising capital-output ratios are a feature of growth for many countries. 10 The three studies compute capital stocks for a large sample of countries, using a variety of data sources (Summers-Heston versus World Bank) and a variety of assumptions about initial capital stocks and depreciation rates. The three concur that rising capital- output ratios are by no means rare: the median capital-output ratio growth of their respective samples is around 1 percent per annum, and fully a quarter of the samples' capital-output ratio growth rates are over 1.7 percent per annum. 11 Nor is it only developing countries that are shown to have rapid capital-deepening. For example, the studies concur that capital-output ratios in Austria and France increased at over 1.5 percent per annum. The literature on extensive growth as the bane of Soviet development did not recognize that extensive growth also occurred in market economies, and sometimes with striking results as in Japan and Korea. What is notable about the Soviet experience was not the extensive growth, but the low payoff to the extensive growth. As either a cause or a consequence of the low payoff, the level of the Soviet capital-output (K- Y) ratio had become extreme by the 1980s. The K-Y ratio as measured by the Westem GDP and total capital stock series was 4.9 in 1985, which is higher than any of the 1985 K-Y ratios in the Benhabib- Spiegel and King-Levine exercises. In the Nehru-Dhareshwar sample, there are only four countries with a K-Y ratio above the Soviets in 1985, none of which seem especially relevant as comparators - Guyana, Zambia, Jamaica, and Mozambique. One other implication of the extensive growth model is that investment ratios have to rise over I See also Judson (1994), who shows the capital-output ratio rising systematically with income. I IFor the two studies that use Summers-Heston data (Benhabib and Spiegel 1993 and King and Levine 1994), we omit Africa from the sample because investment to GDP ratios are implausibly extreme (both high and low) in the 1950s. 12 time if growth is to be maintained while the capit%l output ratio rises. As has previously been highlighted in the literature (see Ofer (1987)) the Soviet investment share doubled between 1950 and 1975. as can be seen in the CIA estimates presented in Figure 5. After 1975, the investment share continued to increase, but more slowly. How unusual is the doubling of the investment rate over a 25 year period? In the Summers and Heston (1991) international database for 1950-75, 8 out of 52 countries - most notably Japan and Taiwan - had a doubling or more of investment rates.12 Shifting the sample period forward by 10 years to expand the sample, 6 out of 72 countries had a more than doubling of investment over 1960- 85, among which Korea and Singapore are of particular interest. Soviet investment mobilizadon wa at a level that was above average, but not unknown, among market economies. The stand-by of Soviet industrialization, machinery and equipment investment, also increased sharply as growth declined. The importance of this sector to growth has been emphasized by de Long and Sununers (1991, 1992, 1993); the Soviet data suggest a high ratio of machinery investment to GNP is not sufficient to generate growth. D) PRODUCTION FUNCTIONS AND EXTENSIVE GROWTH Another way to evaluate the extensive growth hypothesis is to do the traditional total factor productivity calculation. For the TFP calculation, there is little difference between the official and westem data on factor input growth while Khanin shows substantially lower rates of growth of capital (Table 1). This is a consequence in part of Khanin's view that hidden inflation is as serious in capital goods industries as in consumer goods, a view shared by the "British school" of Hanson (19U), Nove (1981), and Wiles (1982). In Table 4 we show summary statisics for productivity growth for the USSR, ;lculated assuming a Cobb-Douglas production function with labor's share equal to .6 and the share of capital equal to .4 (slightly above that used by Bergson and the CIA, but within the conventional range for 12We contiue to exclude Afiica.- countries from this and the following sample. 13 developing countries) for alternative data series. 13 With the assumption of Cobb-Douglas production (unit elasticity of substitution between capital and labor) we see a strongly declining trend in TFP growth after the 1950's. The most interesting aspect of Table 4 is that the 1950s once more stand out as an exceptional period in Soviet growth. It is especially striking that even the western data for the industrial sector Lnply productivity growth in that decade of more than 6 percent per annum. Note the remarkable divergences of views about perfornance in the 1930s that emerge from Table 4, with official Soviet data showing extraordinary rates of productivity growth and Khanin and western GNP data imnplying negative rates. Westem GNP data present the most pessimistic assessment of Soviet productivity performance, implying that productivity growth in the Soviet Union was positive only in the 1950s. The Khanin data, which uniformily exhibit lower overall growth than western GNP data, by contrast imply positive post-1950 productivity growth, a result of the lower rates of growth of capital in the Khanin series. The data in Table 4 point to one extremely important feature of the Soviet growth slowdown: estimated productivity growth for the industrial sector was positive until the 1980s. This locates the major slowdown of productivity in the non-industrial sector. Looking ahead to Table 7, using the aggregate of the republican data for 1970-90, the biggest problem was in agriculture, where productivity appears to have declined by 4 percent per annum, with construction and trade and procurement showing small positive rates of productivity growth.14 Following the pioneering work of Weitzman (1970, 1983) and later zontributions (Desai (1976, 13t has long been a stylized fact in the development literature that capital shares are higher in developing than developed countries (see for example De Gregorio's (1992) estimate that the capital share is between .4 and .55 for Latin America). Westem estimates of Soviet per capita income suggest it was a developing rather than a developed country. 14Previous estimates of productivity growth in agriculture were less drastic but still showed poor performance. Diamond, Bettis, and Ramson (1983) show productivity growth in agriculture of 0.2 percent over 1971-79. Brooks (1983) show -d zero agricultural productivity growth over 1960-80. We are not sure how our calculation of negative agricultural productivity growth relates to Desai's (1992) evidence that weather-adjusted grain yields were rising rapidly in the 1980s, unless the increase in yields was obtained through massive increases in inputs. 14 1987), Bergson (1979), and others), we also investigate whether CES functions provide a boeer representation of the data than the Cobb-Douglas production function inposed in calculating the TFP estimates in Table 4. Weitzman's basic finding was that a CES producdon function with a low eluticity of substitution of 0.4 fit the data better than the Cobb-Dougla, and that the hypotheis that the ebsticity of subsdtution was one could be rejected. Bergson (1983) cridcized this result, on the grounds that it implied implausibly high estimates of the marginal product of capital in earlier yea. Desai (1987) concurred with Weitzman's finding for aggregate industry, but claimed that Cobb-Douglas was an adequate representadon for some branches of industry. Estimation of production functions in industrial countries is the subject of a large literaure. The usual method is to estimate parameters of factor demands derived from the cost funcdon, the dual of the production function (see Jorgenson (1983) for a survey). This is obviously inappropriate for a non-market economy like the Soviet Union. Direct estimadon of production funtions is usually thought to be tainted by endogeneity of the factor supplies, particularly capital; we believe this would be much less of a problem in the non-market system of the USSR. Table 5 shows elasticities of substitution estirnated by nonlinear least squares (see Appendix 2 for the regressions), and recalcubted TFP growth rates for 1950-87 (assuming Hicks-neutral technical progress) for subperiods with the CBS form: ln(Y/L) = cl *Time*D5059 + c2*Time*D6069 + c3*Time*D7079 + c4*Time*D8087 + c5* ln[c6*(K/L)lI/c5 + (1-c6)] + c7 We find indeed that, with the exception of the estimatea based on the Khanin data, all of the altermative estinates of Soviet output and capital growth per worker lend themselves to the CES form with low elasticities of substitution between capital and labor (signiflcantly below one).l5 The results are less ISA clasic uticle by Diamnond, McFadden, and Rodriguez (1967) shows that it is in general impossible to identify sepurely a time-varying elasticity of substitudon pamneter and the bia of technical change (neutral verus labor- augmenting etc.) We identify the substitution paraneter by presuming that it is constant over time and that technical change is neutral. 1s sharp when we use the entire sample 1928-87, where as indicated earlier the data before 1950 are volatile. Serial correlation is a problem for most of the estimates, with the significant exception of the results using our preferred Western GDP series for 1950-87. The results with the Khanin data are intriguing because they support a story of unit elaticity of substitution and poor (though not necessarily declining) productivity growth. According to the Khanin data, growth declines mainly because capital growth slowed (see Table 1 again). Given Bergson's criticisms and the limited information about the methodology behind the Khanin data, these differing results can only point to the need for further research into Khanin's approach to see wheher his work represents a valid criticism of the Western estimates. For the moment, we are forced to regard the Khlanin story as unproven. 16 The low elasticity of substitution from the other data series gives us an important insight into the lack of success of the Soviet extensive growth strategy compared to the high payoffs from capital deepening in Japan, Korea, and other market economies. The literature does not find the elastdcity of substitution between capital and labor in market economies to be greatly below one (see for example, Berndt and Wood (1975) and Prywes (1983) for discussion of theirs and other results for U.S. manufacturing). A recent study estimating the elasticity parameter from the convergence behavior of the cross-sectional national per capita income data even argues that the elasticity of substitution is slightly ABOVE one (Chua (1993)). Diminishing returns to extensive growth were much sharper in the USSR than in market economies because the substitutability of capital for labor was abnormally low. In the concluding section, we will speculate why substitutability may have been low in a planned economy. Another striking feature of Table S is that the implied rates of TFP growth show no significant decline between the 50s and 80s. Thus, freeing up the functional form of the production function rules 16We would have liked to examine the implications of the "British school" of Hanson (1984), Nove (1981), and Wiles (1982), who somewhat similar claims to Khanin's. However, we cannot do so since those researchers do not provide alternative time series for output and capital. Note that a lower estimae for the growth rae of capital over the entire period, as implied by the "British" arguments, would imply higher TFP growth but does not imply anything about the estimated elasticity of substitution that would resuk from using such data. 16 out the collapsing productivity growth explanation for declining growth: in Table 4, both extensive growth and declini productivity growth account for the overall fall in growth; in Table 5 the fault lies endrely with dlminishing retuan to capital. Table S also shows that the level of TFP growth is more plausible after we control for the shrply falling marginal product of capital with a low elasticity of substitution. Our preferred estimates are toe yielded by the Western GDP estimates in the last column in Table S for the 1950-87 sanple. Those estimates yield a constant TFP growth rate of I percent per annum, in contrast to the negative TFP growth implied by the Cobb-Douglas estimates in Table 4 for the 60s through the 80s. We find a positive rate of TFP growth with falling returns to capital more plausible than a negative rate of TFP growth. In Figure 6 we examine a second implication of the estimates in Table 5: these are estimates of the *share of capital" implied by the alternative columns in Table 5 for 1950-87, assuming marginal productivity pricing. In the graph, we present only the more reliable western data. For total GNP, the share of capital falls steadily throughout. For industrial output, the implied share of capital would have been close to one until the mid-50s, and it then would have begun a sharp decline to close to zero by 1980. In Figure 7 we present closely related data, on the marginal product of capital implied by the CES estimates. The western GNP data imply high rates of return to capital in the early 50s, declining to about 3 percent in 1987. The 1950 marginal product of capital in industry is lower than that implied by the GDP estimates. It stays constant throughout the 50s, then declines sharply to zero by the late 70s. The data presented in Figures 6 and 7 suggest that a market economy could not have gone through the growth process of the Soviet economy between 1928 and 1987. The very low wage shares in the early period would probably have prevented any but a subsistence wage equilibrium in those periods. The essentially zero marginal product of capital in industry (estimated using western data) by the mid-80s would have been inconsistent with equilibrium, and would have meant that investment in industry and the capital-labor ratio would have been lower. 17 What would have happened in the early years if there had been a market economy? One posibility is that some method-such as trade unions-would have been found to divorce factor payments from marginal productivities. Another possibility is that different technologies would have been adopted. Similarly, in the later period, there may well have been other technologies available that yielded a positive return to capital. It is also possible that if the extensive growth route had been closed off in a market economy, there would have been more incendve for Soviet entrepreneurs to attempt to imnprove technology. The high capital share in the CES production functions before 1960 has one other implicadon we find interesting. A CES function with a high capital share acts much like a linear function of apital, so that the marginal product of capital can stay flat for as long as the capital share is high (see the line for indutrial capital's marginal product in the SOs in figure 7). With a very capital-intensive producdon of goods, including capital goods, the Soviets were close for a while to the model of growth through rapid reproduction of capital - described by Feldman in the 1920s as using "machines to make more machines" (see Dornar (1957)).17 However, as the capital share begins to fall, the marginal product will begin to decline. The decline can be precipitous when the elasticity of substitution is particularly low (see the industrial marginal product in the late 50s and early 60s). While we find the extreme values of the marginal product of capital and capital's share in Figures 6 and 7 surprising, they do not logically rule out the CES form-the capital-labor ratio in a non-market economy could be driven to levels that would not be observed in a market economy. E) COMBINING REGRESSION EVIDENCE WITH PRODUCTION FUNCTION ESTIMATES As a final exercise, we insert the other apparent correlate of declining growth - defense spending _ into our production function estimates (we take the midpoint of the Brada and Graves estimates in Table 3 spliced together with the Steinberg estimate for 1985-87). Specifically, we allow 17Rebelo (1991) shows formally that constant retums to reproducible factors in the capital goods sector is sufficient to geneate a constant, sustained rate of growth even without TFP growth. 18 the Hicks-neutral rate of technological progress to depend linearly on the share of defense spending in GDP in the production hnction estimated with Western GDP and capital stock data: ln(Y/L) - cl*nme + c2*nme*(Defenre Spending) + c3* ln[c4*(KfL)l/C3 + (1-c4)] + C5 The results are shown in Appendix 2. We find defense spending does indeed have a significant and negative effect on the rate of incr.ase in the total productivity term in the production function. However, the effect is not very quantitatively important: every additional 1 percent of GDP spent on defense lowered productivity growth by .07 percent. The increase over 1960-87 of 2.2 percentage points in the defense share thus would have lowered growth by .15 percentage points. Moreover, the parameters of the CES function are virtually unchanged from our earlier regression so the low substitutability, diminishing returns story still holds We also tried equipment investment and R&D spending as independent influences on the technical progress term, but both gave insignificant results. How do we reconcile our production function estimates with our earlier cross-section growth regression evidence using the Levine-Renelt specification? The Soviets' high capital-output ratio and low substitutability of capital for labor implies a lower derivative of growth with respect to the investment rate than in other countries with lower K-Y ratios and more substitutable capital for labor. To see this, assume zero depreciation and labor growth for simplicity and set labor = 1 by choice of units. Assume a CES function Y=A(yKP+ I-y)(l/P). Growth will be given as a function of the investment ratio (I/Y = AK/Y) as follows: AY/Y = y (I/Y) [ (K/Y) (y+(l-y)K-P) ]-I As is well known, a higher K/Y implies a lower marginal effect of the investment ratio on growth simply because a given investment rate translates into lower capital growth. With a unit elasticity of substitution (p=O), this is the only way that the level of capital influences the marginal effect of investment. With a less than unit elasticity of substitution (p < 0), higher capital has an even stronger negative effect on the coefficient on investment in a growth equation. Although obviously not the only explanation, this is consistent with the large negative residual for the USSR -- and increasingly negative residuals over time - in the cross-section regressions. (With only one observation, we cannot distinguish between a Soviet slope dununy on the investmnent coefficient and a Soviet intercept dummy.) 19 We conclude from our reexamination of the aggregate data that the original Weitzman story holds up. Soviet growth declined because of diminihig returns to capital accumulation, and not because of a slowdown in TFP growth. The average growth performance was poor when we take into account the rapid capital growth and high education levels. The general extensive growth hypothesis of the literature on Soviet growth is not sufficient explanadon by itself, because in a comparative context we find that Soviet extensive growth was not that unusual. It was the low substitutability of capital for labor, rather than extensive growth per se, that was the fatal weakness of the Soviet development strategy. 11. R _Ub_ican RMlts - Capitl Growth and _ow la Growth The republican time series cover the period 1970-90, and provide detailed data to describe the economic decline in the final years of the Soviet system, by republic and by sector. The data are for NMP. Table 6 shows least-squares estimates of real NMP growth per worker in the USSR and the republics, overall, and by branch of industry, for the years 1970-90. Growth rates in the Central Asian republics were well below those in the rest of the Soviet Union, with Belarus and Georgia having the highest rates of output growth. Among the Central Asian republics, Turkmenistan experienced negative growth of per worker output over the 20-year period; the growth rate of per worker output of Kyrgyzstan, the most rapidly growing of the Central Asian republics was nonetheless a full percentage point below that of the slowest-growing of the other republics, Azerbaijan. Growth performance in the Baltics does not stand out relative to the Soviet average. Across branches, output per worker grew most rapidly in industry, and at a negative rate in agriculture; output growth in the service sectors, transport and communications, and trade and procurement, was positive. Belarus shows the highest rate of growth of output per worker in industry; Lithuania, where aggregate growth was relatively low, also shows rapid output growth in industry. The slow growth of output in the Central Asian republics clearly owes much to the poor performance of agriculture in these relatively agricultural republics. Table 7 shows estimates of TFP growth (computed assuming a 0.4 capital share for all sectors 20 and a Cobb-Douglas form) by sector and by republic. 18 Judging by TFP growth, industry did relatively better than other sectors in the European USSR Oust as industrial productivity growth is usually higher than other sectors in the West), while agriculture was a disaster everywhere. Transport and communications did well in the border regions of Belams and the Baltics. Productivity growth in construction and in trade is uneven and generally close to zero. Central Asia is an almost unrelieved tale of woe for all sectors, with Kyrgyzstan standing out again as having the best performance in that region. For the entire material sector's TFP growth, Georgia and Belarus did the best over 1970-90, Armenia, Azerbaijan, Latvia, and Estonia, the next best, and Central Asia the worst. The relative success of Belarus and Georgia was due entirely to industry, with productivity performance in agriculture still disastrous, and performance in the transport/communications/construction sectors generally poor. The relative performance of the republics shown here is broadly consistent with previous studies focusing on earlier periods. The ranking of TFP growth by republic for the period 1960-75 in Koropeckyj (1981) is similar to that in Table 7: Belarus is at the top, and Central Asia at the bottom. Whitehouse (1984) presents similar findings for 1961-70: Belarus and Georgia are third and fourth in productivity growth (Latvia and Estonia are at the top), with Central Asia again firmly ensconced at the bottom. The bad Central Asian outcome is well known in the literature (for example, Rumer(1989)). A) EXPLWNING RELATIVE PERFORMANCE WITHIN THE USSR Growth by republic is correlated with some of the same factors - human :apital, initial income, and population growth - that have been singled out in recent cross-sectional growth regressions (Barro (1991), Barro and Lee (1993), Levine and Renelt (1992)). We first examine simp'e correlations between estimated productivity growth over the period and these factors, and then present the results of a multiple regression. I tWe are rather embarrassed to resort to the Cobb-Douglas form for the republican sectors after rejecting it for the Soviet Union as a whole in section 1. The republican data series are too short to lend themselves to CES estimation of individual production functions. The Cobb-Douglas TFP growth rates are still useful descriptive statistics. 21 Pigue 8 shows the associadon between one measure of human capial - the percentage of specblists with higher education per capita - and productivity growth. The negative productivity growth of the Central Asian republics is associated with a low level of higher education, while the relatively high growth of Georgia, Latvia, Estonia, and Amenia is strikingly correlated with a high proportion of highly-trained specialists. Belarus is well above the implied regression line, reflecting its relatively low dwhre of higher education specialists. Sinilarly, the Central Asian republics' poor record is associated with rapid population growth (Figure 9). We have also run a standard cross-sectional growth regression for the fifteen republics. While we have not found republican data to match the international data in the Levine-Renelt regression we presnted In Section 1, we can do a similar cross-section across republics. The results, presented in Table 8, are similar to those obtained in the standard cross-country regressions. The educational variable has a posidve coefficient, while those on initial incomne (relative to the Soviet average) and population growth are negative. The coefficient on population growth is much larger than is normal in cross-country regressions. The coefficient on initial relative income implies that the rate of convergence between the Soviet republics is over 4 percent per year (taking the derivatives at the Soviet average). This implies a rate of intermal convergence for the Soviet republics considerable faster than the convergence coefficients found by Barro and Sala i Martin (1992), which are around 2 percent per annum for both US states an* a sample of 98 countries. Chua (1993) shows that convergence is more ranid the lower is the elasticity of substitution between capital and labor. The rapid convergence of Soviet republics to each other (though admittedly b. ed on the tenuous evidence of 15 observations) is yet another confumation of the stronger force of dirninishing retums (and possibly the lower elasticity of substitution) in the Soviet Union compared to market economies. 19 19An altemnative explanation for faster convergence among Soviet republics is that Soviet policymakers placed more emphasis on regional redistribution than did Westem policymakers. 22 B) SECTOPiAL PATTRNS AND PRODUCV/7 GROWTH IN THE REPEUCS Table 7 shows enormous variations in productivity growth between sctors and republics; in this section, we examine whether these variations are related to degrees of sectoral distortion. It is well known that the Soviet Union (and socialist economies in general) had distorted sectoral structures of production (Ofer (1987)). Ofer compared the sector employment and output shares in the Soviet Union to those that would have been expected for a country of its pce capita income level, using the patterns of sectoral shares and income established by Chenery, Robinson, and Syrquin (1986). He showed that the Soviet services sector was smaller than normal, Soviet agriculture was larger than normal, and Soviet industry roughly normal for a country of its per eapita income level. The atrophied service sector has been documented also with recent data (Easterly, de Melo, and Ofer (1994)). Table 9 shows the difference between the sectoral shares of employment that would have been predicted by the republics' respective per capita incomes and their actual sectoral shares. The per capita incomes are derived from the estimates of relative incomes by the World Bank, and then applied to the per capita income for the Soviet Union as a whole in Bergson (1991b). The employment shares of the comparators are taken from International Labor Organization (various years) for a sample of about 70 developing and developed countries. We see the basic pattern confirmed: agriculture is larger than average in all of the republics for their respective income levels, and trade is smaller. Transport is larger than expected in the republics. Industry and construction do not diverge as sharply from the expected patterns.20 Are the sector imbalances related to relative productivity growth performance? The answer is yes - sectors that were "too large" had poor productivity growth. Figure 10 shows a scatter of productivity growth 1970-90 for the 5 sectors and 15 republics against the sectoral employment 20These measures are extremely crude and obviously reflect other factors besides "distortions". For example, the fertile soils of Ukraine and Moldova might imply a larger agriculture share than per capita income alone would predict. The variation in employment shares in the intemational data set is enormous and the residuais shown in Table 10 are generally not statistically significant in OLS regressions (with the exception of many of the deviations in republican trade shares). The sectoral employment deviations nevertheless remain useful descriptive statistics for the nature of the republican economies. Note that employment statistics cover the entire economy, and so are preferable to NW shares that only cover the material sector (not to mention the pricing problems). 23 deviations in 1970. Republican agricultural sectors that were above the predicted employment shares also had poor (negative) TFP growth, while industrial and trade sectors below predicted shares of employment had positive TFP growth. The slope coefficient in figure 10 is -.11 (ten percentage points excess employment share lowers TPP growth in that sector by 1.1 percentage points). The coefficient is strongly significant. This result is reminiscent of the finding in market economies that distorted sectoral price incentives or other measures of departure from comparative advantage are negatively related to growth (Barro (1991), Easterly (1993), Edwards (1989), Fischer (1993)). III. Conclusion: internretin the results on Soviet Growth Our results confirm and update the results of Weitzman (1970) on the low Soviet elasticity of substitution between capital ard labor, which combined with the Soviet attempt at extensive growth, is sufficient to explain the decline of Soviet growth. The natural question to ask is why Soviet capital- labor substitution was more difficult than in Westem market economies, and whether this difficulty was related to the Soviets' p!anned economic system. Recent work on models of endogenous economic growth stresses the notion of a broad concept of capital, including human capital, organizational capitol, and the stock of knowledge, which can substitute easily for raw labor and perhaps replace it altogether (Rebelo 1991, Jones and Manuelli 1992, Parente and Prescott 1991). Conversely, one possible explanation for the Soviets' substitution problems would be that, under an autocratically directed economic system, they accumulated a narrow rather than a broad range of capital goods. Some forms of physical or human capital that were missing would have been market-oriented entrepreneurial skilis, marketing and distributional skills, and information-intensive physical and human capital (because of the restrictions on information flows). It is more difficult to substitute more and more drill presses for a laborer than it is to substitute a drill press plus a computerized inventory and distribution system for a laborer. There is nothing that explicitly supports this conjecture in our results, but it is an interesting direction for further research. The other message from our results could be that Soviet-style stagnation awaits other countries that have relied on extensive growth, a point that has been made forcefully for those extensive growers, the East Asian Tigers, in several articles by Young (1992, 1993a, 1993b). After all, the USSR had its 24 period of rapid growth in the 30s through S0s when it appeared to be following a linear output-cpital production function, as we have shown. If East Asian capital-output ratios keep rising until they reach the extreme Soviet levels, they too could experience a drastic slowdown. Even if diminiing returns are weaker in the East Asian economies (if, following our conjecture, they have been accumulatizn a broader range of capital goods and experiencing higher substitutability between capital and labor), diminishing returns would still eventually cause a growth slowdown. The Soviet experience can be read as a particularly cxtreme dramatization of the long-run consequences of extensive growth.21 The cross-section results on republics, although based on a small number of datapoints, support the idea that some cf the same factors that are argued to determine growth in the recent empirical cross-saction literature - human capital, population growth, initial income, sectoral distorticns - also mattered under Soviet central planning. Our results with the Soviet Union in the international cross- section growth regression indicate that the planned economic system itself was disastrous for long-run economic growth in the USSR. 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'Soviet Postwar Economic Growth and Capital-Labor Substitution', AzjiaEc4 Review, 60, 5 (Dec), 676-692. --(1983) "Industrial Production' in A. Bergson and H.S. Levine, eds., The Soviet Rconomyc Toward the Year I=, Allen A Unwin. Boston. (1990). 'Comment', NR,R MacroecgRaMiGLAnna, 339-342 Whitehouse, F. Douglas (1973). 'Demographic Aspects of Regional Economic Development in the USSR' in V.N. Bandera and Z.L. Melnyk (eds). The Soviet Rconomy in ReganaI Persecixe. New York: -raeger. Wils, Peter (1982). 'Soviet Consumption and Investment Prices nd the Meaningfiuness of Real Investment', Snai%t.Si%d, 24, 2 (April), 289-295. Young, Alwyn. 1993b,'The Tyranny of Numbers: Confronting the Statistical Realities of the EAt Asian Growth Experinc'e', m-imeo MIT ' 1993s, 'Lessons from the East Asian NlCs: A Contrrian View', fortcoming, M 1992, 'A Tale of Two Cities: Factor Accumulatiob nd Tecbial Chaunge in Hong Kong and Singapore', In Olivier J. Blinchard and Stanley Ficher, eds., _ M A, Cambridge MA: MIT Preus. 29 Figure 1: Index of satisfaction with standard of living in USSR reported in survey of emigres, 1983 2.8 2.7 Index ranges from 4 (very satisfied) to 1 I (very unsatisfied) 2.6 5^2.5**_ 2.4 2.3 Over 54 41-54 31-40 Under 31 Age group in survey Source: Millar and Clayton (1987) Figure 2: Male life expectancy at birth: USSR and world median 68 64 62 USSR (Source: Anderson and Silver (1990)) 60 58 56 Median for 150 countries (Source: World Bank Economic andi Social Database) 52 50 %n %O %O O % O % @ % - -r ~00ac 0 0 0000 00 ------…-------- / !, - - - - - - El !L O7 _ .1 12 t t toF0 - !S ^ et !e C P40 1950 --- 1952 1954 c 19560 1958 1960 1962 1 0 1964 0r 1966 C. 0 a~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C. o1968 () 1970 0 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1 1972 1974 1976 a II- 1978 1980 1982 1984-0 1986 32 Figure 4: Capital-output ratios, Alternative Estimates 5,2 4.5 I CIA (GDP) 4 Khanin (NMP) Ofricial (NMP) 3.5 __ _ _ _ _ _ _ 3. 2.5 1.5 ob N °h °@ 0 N q ' @0 N w ' ~I, ~ri i ',~ ~ C 'C "0 C "0 I~ 1- ~ @00 000 3.2 - 3 - Industry (official) 2.8 Industry (West) 2.6 2.4 2.2 2 1.8 *. . _ _ 1.6 o N t 'C eo o N § C@0 o N q WI 0 N q 0 0 un 0 b O V 1950 1952 1954 1956 \ 1958 CA 1960 n 1962 \ 1964 1966U 1968 S o 1970 1972 0 B~~ U~~ 1974 nr 1976 2- 1978 . 1980 1982 1984 1986 Share of capital in output 0 0 0 0 0 0 0 00 0 c - i Lo . v Ub 0t J @z0 vo _ 1950 _ _ _ 1952 1956 1956 4 0 r~~~~~~~~~~A 1958 3 1960 c 1962 1964 1966 e0. 1968 C, 1970 u 1972 0 1974 1976 jCJ 1978 1980 1982 1984 ~ ~ ~ ~ .~ 1986__ J Marginal products of capital (including rising TFP level) o o o o o 0 , _~ ,o "j o w> C. . 0 k A - U 4i U h w t I A 1950 t , 1952 1954 ~ 1 1956 CL 1958 I 1960 U 1962 . 1966 1 196_ 0 00 1970 1972 0 1974 1976 1973 . 1980 O 1982 1984 0 1986 / _ Ci Un 36 Figure 8: Growth and Human Capital, Soviet Republics 3%_ Belarus Anena GF g2% AmiaG zl ; ~~~~~~~~Azerbaijan Latvia 8 Moldova a U 1% Lithuania Esoi Kyrzstan * Uknaine * Russia Estonia E0% a 1 0% fajikstan Uzbekistan *° -1%1 Kazakhstan -2% a Turkmenistan -3% 120 140 160 180 200 220 240 260 280 300 320 Specialists with higher education per 10,000 inhabitants, 1965 37 Figure 9: Growth and Population Growth, Soviet Republics 3%_ Belarus Georgia _2t% n Aglenia % ,Latva Estonia Azerbaijan a Ukraine Moldova U Russia LMIuania KyrgyZstan 0% iikt -t ° I* 1% | ° Uzbekistan h ! Kazakhstan .-2% I Turkmenistan 0% 1% 2% 3% rate of natural incrase (percent), 1970 Figure 10: Sectoral employment sbares and TFP growtb, 5 sectors and 15 republics 3% a a a ~~~~-S.ckn we apcu**e. cinshucfKit uak'y. - .% Gwga a~ab ~wxjb rI and Sckr -W. dmvegs Gowmn Wed 1970 per cape*swm (Summs4iosn) gm fw4o~ U 1% | 'mu *t e %~~~~~~~~~~ i-1% I* w* T ' --5% 14% -15% -10% 5% 0% 5% 10% 15% 20% 25% 30% Deviation from sector shae predicted by per capita incomw co 39 Table 1: Soviet Growth Data, 192847 Period Industry, official | Industy, | Material sectors, | Material sctors, 1 Total economy, Westerm |hsnin official Western Growth rates of output per worker, alternative estimates 1928-87 6.3%s 3.4% 2.1% 6.0% 3.0% 1928-39 12.S% 5.0% 0.9% 11.4% 2.9% 1940-49 0.1% -1.S% -1.0% 2.1% 1.9% 1950459 8.9% 6.2% 5.3% 8.3% 5.8% 1960-69 5.7% 2.8% 2.7% 5.4% 3.0% 1970-79 5.2% 3.4% 1.2% 4.1% 2.1% 1980-87 3.4% 1.S5% 0.2% 3.0% 1.4% Growth rtes of capital per worker, altermative estimates 1928-87 6.2% 3.2% 2.3% 6.1% 4.9% 1928-39 11.9% 6.5% S.9% 8.7% S.7% 1940-49 1.5% -0.1I % -1.3% 2.7% 1.5% 1950-59 8.0% 3.9% 3.5% 7.7% 7.4% 1960-69 6.1% 3.4% 3.8% 7.1% 5.4% 1970-79 6.3% 4.1% 1.9% 6.8% 5.0% 1980-87 S.6% 4.0% -0.1 % 5.3% 4.0% Note: growth rates ar- logntbmc wrt-squares estimates. Table 2: The Soviet Union in the Levine-Renelt (1992) Growth Regression, 1960-89 Per capita income, 1960 Population Investment Per capita (Summers - growth,1960- Secondary ratio to GDP, Growth growth, 1960-89 Heston PPP) 89 enrollment, 1960 1960-89 residual Average for sample excluding Soviet Union 2.00 1792 2.07 21% 21% Soviet Union 2.36 2796 1.05 58% 29%/e -2.34 Rank of Soviet Union in sample (out of 103 observations) 45 24 81 10 7 97 Sources: Datafor all countries except Soviet Unionfrom Levine and Renelt (1992). Soviet data: Per capita growth--Western GDP described in text, updated to 1988-89 with Marer et al. (1992) Per capita income--Bergson(1 991b) for 1985 PPP, bockcast to 1960 with per capita growth infirst column Population growth: Feschbach (1983), Kingkade (1987), IMF et al. (1991). Marer et al. (1992) Secondary education: UNESCO (1975 Statistical Yearbook), 1970from Marer et al. (1992) Investment rate: Joint Economic Committee (1990), updated for 1988-89 with Marer et al. (1992) (JEC series available at 5 yr intervalsfrom 1960-75, interpolated in between) Growth residual: Residualfrom Levine-Renelt regression offirst column on other columns 0 41 Table 3: Soviet defeme burden a share of GDP Jwa6 and Gmws Brda and Gmvs Oir (1987) (1988) -High (1988) - Low Steinberg (1990) (cW'rent rubles) (constant rubles) (constant rubles) (constant rubles) 1928 2% 1950 9% 1960 12% 13.34% 9.90%/ 1961 13.86% 10.60% 1962 14.93% 11.39% 1963 15.49% 12.32% 1964 15.03% 12.17% 1965 14.49% 11.79% 1966 14.11% 11.54% 1967 14.40% 11.95% 1968 14.45% 12.14% 1969 14.61% 12.08% 1970 13% 13.83% 11.48% 13.28% 1971 13.56% 11.30% 13.76% 1972 13.80% 11.34% 13.61% 1973 13.33% 11.03% 13.14% 1974 13.71% 11.28% 13.15% 1975 14.14% 11.53% 13.57% 1976 14.32% 11.62% 13.30%/e 1977 14.07% 11.26% 12.98% 1978 14.00% 11.09% 13.08% 1979 14.53% 11.43% 13.05% 1980 16% 15.06% 11.82% 13.91% 1981 15.48% 11.75% 14.03% 1982 15.36% 11.70% 14.58% 1983 15.51% 11.63% 14.36% 1984 15.55% 11.57% 14.37% 1985 14.79% 1986 14.49% 1987 14.63% 42 Table 4: Toa factor productivity srowth rmtu, alteative smin, USSR period Khanin Official Westem ot Official Weder at. material acton material industrial indutrial GNP sectors sctor s_ctor 1928-40 -1.7 7.2 1.7 7.2 -1.2 1940-50 -0.2 2.5 -1.1 1.7 -0.2 19S040 3.8 6.0 6.1 4.1 1.3 1960-70 I.S 2.9 1.9 3.q -0.1 1970-80 0.4 1.4 2.4 1.7 -0.8 1980-87 0.4 0.7 -0.1 1.1 -1.2 ounces: seW earlier description in text 43 Table 5: Elasitkis of substtuton and TFP growth with utmated CES hmcdows Watern Xanln Official estfmata Ocfidal material material Industrial Indiustrial Western sectors sectors sector sector GNP For 1950L87 sampk: Eaticity of subsitudon 1.11 0.37 * 0.13 * 0.40 * 0.37 * TFP grwth In: 1950-59 0.11% 2.93% * 2.40% * 3.72% * 1.09% * 1960-69 -0.07% 2.88% * 2.36% * 3.60% * 1.10% * 1970-79 -0.30% 2.98% * 2.51% * 3.74% * 1.16% * 1980-87 -0.35% 2.92% * 2.43% * 3.62% * 1.09% * For entir sample period, 1928-87 Easticity of substitution 1.11 0.38 * 0.22 0.45 * 0.81 TFP growth In: 1928-39 -2.03% * 3.34% * -1.38% 0.72% -0.52% 1940-49 -1.17% * 2.18% * -0.72% 0.51% -1.32% * 1950-59 -0.18% 2.96 % * 0.36% 1.48% * -0.21% 196069 0.33% 2.97% * 0.40% 1.27% -0.15% 1970-79 0.30% 3.05% * 0.43% 1.38% -0.18% 1980-87 0.22% 2.97% * 0.37% 1.28% -0.33% Notes: * indicates elasticity of substitution significantly different than one or TFP growth rates significantly different than zero. Full regression results given in appendix. 44 Table 6: Growtb rats of NM? pew worker 1970-90 cmoutt prkc ________ _ Total Industry Agriculture Trasort n& Construcimon Trade & _ Commurncation Procurelment USSR 2.8% 3.4% -1.3% 3.1% 2.7% _ 2.1% Slavic: . Russia 3.0% 3.5% -2.1% 3.2% 3.1% 2.4% Ukraine 2.9% 3.2% 0.3% 3.1% 2.2% 2.2% Belarus 4.5% 5.4% 0.3% 3.5% 2.9% 2.4% Baltic/Moldavian: Estonia 3.1% 3.8% -1.7% 3.6% J 2.6% 2.5% Latvia 3.3% 4.3% -0.8% 5.6% 1.0% 2.0% Lithuania 2.8% 4.9% -0.6 % 3.9% 1.4% 1.0% Moldova 3.3% 3.3% 0.5% 4.1% 2.2% 2.4% Transcaucasian: Georgia 3.9% 4.5% 2.5% 3.1% 2.0% 2.5% Armenia 3.4% 3.4% -0.8% 5.2% 2.7% 2.5% Azerbaijan 2.7% 3.9% 1.9% 0.7% 2.7% 1.6% Central Asian: Kazakhstan 0.7% 0.6% -4.4% 1.9% 1.9% 0.4% Turkmenistan -0.3% -0.6% -2.8% 0.9% 1.6% 1.4% Uzbekistan 1.2% 2.2% -1.8% 2.7% 1.0% 1.8% Tajikstan 1.0% 1.7% -1.8% 3.1% 0.6% 1.8% Kyrgyzstan 1.7% 3.1% -2.4% 3.8% 1.4% 1 .1 % 45 Tablh 7: Total factor productivtty growth by sector and republik, 197O.90 Total lndusuy Apictlnws Transport & Conm ucdton Trade & ___________ ______Cormnmunication Procurement USSR 0.8% 1.1% -4.1% 0.8% 0.2% 0.3% SOWic: Runsia | 0.8% 0.9% -5.3% 0.7% 0.5% 0.4% Ukraine 1.0% 1.3% .2.7% 1.0% -0.4% 0.6% Belau 2.1% 3.0; -3.3% 1.3% 1.8% 0.3% Blaic/MoldaWan: Estonia 1.3% 1.8% -4.4% 1.6_% 0.2_% O.S_ % LAuvia 1.4% 2.1% -3.3% 2.9% -0.9 % 0.2 % Lithuania 0.6% 2.6% -4.0% 2.0% -0.9% -0.6% Moldova 1.0% 1.2% -2.7% 2.0% -0.4% 0.5% Tscaucasian: Georgia 2.3% 2.6% | 0.1% 1.3% 0.3% 1.0% Armenia 1.8% j 1.8% -3.1% J 2.8% 1.1% 0.4% Azerbaijan 1.4% 2.5% X 0.1% -1.2% 0.3% -0.2% Central Asian: Kazakhstan -1.1% -1.5% -6.4% 0.2% -0.3% -1.2% Turkmenistan -2.0% -3.0% I -4.0% -2.1% -0.3% -0.3% Uzbekistan -0.4% 0.5% -3.7% 0.6% -0.6% -0.1 % Tajikstan -0.4% -0.3% T -2.9% 1.8% -1.1% 0.9% Kyrgyzstan 0.2% 1.1% -3 .9% 1.7% -0.2% -0.7% - 46 Table 8: Cross-secdonal growth regresion, 15 Soviet repubUcs m.uu..uu.m.u.u. u u..mumnm.. m m.u..munu..u LS // Dependent Variable is Total Factor Productivity Growth,1970-90 Number of observations: 15 VARIABLE COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C 0.0303710 0.0244123 1.2440874 0.2393 SPECHI65 0.0001098 5.011E-05 2.1910647 0.0509 INCOM60 -0.0002895 0.0001477 -1.9598548 0.0758 NATINC70 -1.4371064 0.5552033 -2.5884325 0.0252 R-squared 0.686424 Mean of dependent var 0.006709 Adjusted R-squared 0.600904 S.D. of dependent var 0.012018 S.E. of regression 0.007592 Sum of squared resid 0.000634 Log likelihood 54.25'78 F-statistic 8.026420 Prob(F-statistic) 0.004105 = r.rmnn.i.i.i..r.ir..rnrr..~ur...inrn.ini.imu.nmrm.uumiUU Variables: SPECHI65 - number of specialists with higher education per 10,000 inhabitants, 1965 INCOM60 - income per capita relative to USSR, 1960 NATINC70 -rate of natural increase of population, 1970 Source: official data. 47 Table 9: Sectoral employment Imbalances by republic DeviationJfom employment shares predicted by per capita income, 1970 Transport Industry Construction Agriculture and comm Trade USSR 3% 1% 6% 2% -7% Slavic: Russia 6% 1% 1% 2% -7% Ukraine 2% 0% 11% 1% .8% Belarus .1% 0% 17% 0% -8% Baltic/Moldavian: Estonia 7% 2% 3% 3% -7% Latvia 7% 0% 4% 2% -7% Lithuania 1% 2% 14% 1% -9% Moldova .9% -1% 29% -1% -9% Transcaucasian: Georgia -6% 0% 16% 1% -8% Armenia 3% 3% 4% 0% -8% Azerbaijan -4% 1% 10% 2% -7% Central Asian: Kazakhstan -4% 3% 6% 4% -7% Turkmenistan -11% 3% 16% 2% -7% Uzbekistan -9% 1% 19°% 0% -7% Tajikstan -9% 0% 20% 0% -8% Kyrgyzstan -3% 0% 11% 1% -7% Sources: International Labor Organization (various years)for international employment data; see textfor sources on Soviet republics Note: Share deviations are calculated by regressing employment shares in 1970 for non-socialist countries on 1970 per capita income (Summers-Heston), dummying out the Soviet republics. 48 Appendix 1: Trends in capital-output ratios in growth accounting atdiu Per annwn percent change in County Period capital output ratio This paper USSR (Western GDP and Capital Stock Estimates) 1950-87 2.53% Maddison (1989) France 1950-84 .0.45% Germany 1950-84 0.16% Japan 1950-84 -0.91% United Kingdom 1950-84 0.62% United States 1950-84 .0.07% China 1950-84 2.48% India 1950-84 1.54% Korea 1950-84 0.03% Taiwan 1950-84 -0.34% Argentina 1950-84 0.61Y Brazil 1950-84 0.86% Chile 1950-84 -0.22% Mexico 1950-84 0.50% USSR 1950-84 3.75% Yowig (1993) Hong Kong 1966-91 0.84% Singapore 1970-90 2.79s South Korea (excluding agriculture) 1966-90 3.62% Taiwan (excluding agriculture) 1966-90 2.55% Kim and Lau (1993) Hong Kong 66-90 1.11% Singapore 64-90 1.38% South Korea 60-90 3.50Y Taiwan 53-90 3.13% France 57-90 0.68% W. Germany 60-90 1.16% Japan 57-90 3.19% U.K. 57-90 0.68% U.S. 48-90 -0.19¶/' Ela (1992) Argentina 1950-80 0.39f Brazil 1950-80 -0.54% Chile 1950-80 -0.39%/0 Colombia 1950-80 -0.79% Mexico 1950-80 0.44% Per 1950-80 1.22% Venezuela 1950-80 0.75% 49 Trads in apital-output ratdos in growth aceoutldg studis (Appeudix I conL) Per annum percent change in Counny Period capital output ratio Chenery, Robinson,_and Syrquin (1986) Canada 47-73 0.66% France 50-73 0.13% Genmany 50-73 0.33% Italy 52-73 -0.63% Netherlands 51-73 0.17% United Kingdom 49-73 0.69% United States 49-73 0.00% Benhabib and Spiegel (1992) (using Summers -Heston data) United States 1965-85 0.63% Japan 1965-85 2.56% Hong Kong 1965-85 -0.20OYo Korea 1965-85 2.78% Singapore 1965-85 2.41% Taiwan 1965-85 2.97% 75th percentile of sample (77 countries in sample, excluding Africa) 1965-85 1.72% 50th percentile 1965-85 0.80% 25th percentile 1965-85 0.21% Nehru and Dhareshwar (1993) (World Bank data) United States 1950-90 0.20% Japan 1950-90 2.70% Korea 1950-90 3.70% Singapore 1960-90 -1.09% Taiwan 1950-90 -2.08% 75th percentile of sample (72 countries in sample) 1950-90 1.64% 50th percentile 1950-90 1.06% 25th percentile 1950-90 0.38% KI.ng and Levine (1994) (Summers-Heston data) United States 1950-88 0.40% Japan 1950-88 2.33% Hong Kong 1950-88 -0.80/o Korea 1950-88 3.05% Singapore 1950-88 2.94% Taiwan 1950-88 2.63% 75th percentile of sample of 74 countries excluding Africa 1950-88 1.69% 50thpercentile 1950-88 0.95% 25th percentile 1950-88 0.23% Appendix 2: Nonlinear 1WM squars esImaon of CU h _om Variable name for nHonllnr regressionl dummy for 1928.39 D2839 dummy for 1940-49 D4049 dummy for 1950-59 D5059 dummy for 1960-69 D6069 dummy for 1970-79 D7079 dummy for 1980-87 D8087 Capital-labor ratio, industry, official KLINO Capital-labor ratio, industry, KLINW Western est Capital-labor ratio, Khanin KLKHAN Capital-labor ratio, material sectors, KLOFF oMcal Capital-labor ratio, whole economy, KLWES Wtstern Log of output per worker, industrial LYLINO sector, official numnbers Log of output per worker, industrial LYLINW sector, Westeu estimates Log of output per worker, material LYLKHAN sectors, Khanin Log of output per worker, material LYLOFF sectors, official Log of output per worker, whole LYLWES economy, Western estimates TIME*D2839 T2839 TIME*D4049 T4049 TIME*DSOS9 TS059 TIME*D6069 T6069 TIME*D7079 T7079 TIME*D8087 T8087 Ratio of defense spending to GDP DEFGDP TIME (1,2,3,4,ETC.) TIME (1) Results for 1928V7 ample 51 NLS // Dependent Variable is LYLKHMAN SMPL range: 1928 - 1987 Number of observations: 60 LYLKHAN-C(1)*T2839+C(2)*T4049+C(3)*T5059+C(4)*T6069+C(5)*T7079+C(6)*T808 7+C(7)*LOG(C(S)*KLKHANA(1/C(7))+1-C(8))+C(9) .........m.. mamma am.... ma. - -mmmaumumamma.- a m a amam.. - mm-.-umm COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) -0.0202626 0.0073460 -2.7583265 0.0080 C(2) -0.0116552 0.0034600 -3.3685319 0.0014 C(3) -0.0017588 0.0025248 -0.6966280 0.4892 C(4) 0.0033136 0.0029598 1.1195481 0.2682 C(5) 0.0030160 0.0031696 0.9515282 0.3458 C(6) 0.0022460 0.0029139 0.7707873 0.4444 C(7) 9.8304594 113.76212 0.0864124 0.9315 C(S) 0.6102850 0.1464251 4.1678994 0.0001 C(9) 0.0916414 0.0363921 2.5181703 0.0150 R-squared 0.983100 Mean of dependent var 0.471133 Adjusted R-squared 0.980450 S.D. of dependent var 0.397586 S.E. of regression 0.055592 Sum of squared resid 0.157612 Log likelihood 93.12259 F-statistic 370.8535 Durbin-Watson stat 1.024675 Prob(F-statistic) 0.000000 NLS // Dependent Variable is LYLOFF SMPL range: 1928 - 1987 Number of observations: 60 LYLOFF -C(1)*T2839+C(2)*T4049+C(3)*T5059+C(4)*T6069+C(5)*T7079+C(6)*T808 7+C(7)*LOG(C(8)*KiOFFA (1/C(7))+1-C(S))+C(9) COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. ama a a a a a.... a a a a mamma a ama mamma mum mmma a mama a a aa a a mamma a a mammaS a..m..mamma.a a a C(1) 0.0333843 0.0080809 4.1312477 0.0001 C(2) . 0.0218378 0.0044657 4.8901520 0.0000 C(3) 0.0296170 0.0047890 6.1844430 0.0000 C(4) 0.0296679 0.0059473 4.9884344 0.0000 C(S) 0.0304758 0.0058937 5.1708799 0.0000 C(6) 0.0297401 0.0054773 5.4296908 0.0000 C(7) -0.6260722 0.1706363 -3.6690441 0.0006 C(S) 0.5403918 0.1322528 4.0860527 0.0002 C(9) 1.3706613 0.1645207 8.3312377 0.0000 R-uquared 0.996612 Mean of dependent var 2.117937 Adjusted R-squared 0.996080 S.D. of dependent var 1.061674 S.E. of regression 0.066469 Sum of squared resid 0.225327 Log likelihood 82.40014 F-statistic 1875.115 Durbin-Watson stat 1.101054 Prob(F-scatistic) 0.000000 a mmmaa aa amama. mama am a a a amm, a a amm mmmaa mmmaamaa a ma a aassssssst=s NLS // Dependent Variable is LYLWES 52 Date: 7-20-1993 / Time: 23:35 SMPL range: 1928 - 1987 Number of observations: 60 LYLWES -C(1)*T2839+C(2)*T4049+C(3)*T5059+C(4)*T6069+C(5)*T7079+C(6)*T806 7+C(7)*LOG(C(8)*KLWES^(1/C(7))+1-C(S))+C(9) Convergence achieved after 2 iterations mumm-m u.- u.mu m.mu......mu. m.... ua U.UUU r.. mm...................... mum-- ur......- COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. m...u..................m...... m..........m...m.m......................n.m m.... C(1) -0.0051988 0.0086239 -0.6028340 0.5493 C(2) -0.0131666 0.0045147 -2.9163642 0.0033 C(3) -0.0020808 0.0048916 -0.4253758 0.6724 C(4) -0.0014649 0.0058862 -0.2488673 0.8045 C(S) -0.0018068 0.0059853 -0.3018751 0.7640 C(6) -0.0033362 0.0060313 -0.5531465 0.5826 C(7) -4.1327746 5.8211962 -0.7099528 0.4810 C(S) 0.7331452 0.1523563 4.8120442 0.0000 C(9) -0.2293690 0.0861945 -2.6610638 0.0104 mu.... mm...un... mmm...m... ma mm m.. m u...... mm R-squared 0.989484 Mban of dependent var 0.934737 Adjusted R-squared 0.987835 S.D. of dependent var 0.549799 S.E. of regression 0.060641 Sum of squared resid 0.187543 Log likelihood 87.90639 F-statistic 599.8574 Durbin-Watson stat 1.118814 Prob(F-statistic) 0.000000 NLS // Dependent Variable is LYLINW SMPL range: 1928 - 1987 Number of observations: 60 LYLINW -C(1)*T2839+C(2)*T4049+C(3)*T5059+C(4)*T6069+C(5)*T7079+C(6)*T803 7+C(7)*LOG(C(8)*KLINwA (1/C(7))+1-C(S))+C(9) mm.. m mm.m.... m. mm....... rn.....mm..m.m.m... mm....mm.....m..... mm...... m. m COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) -0.0137604 0.0079630 -1.7280338 0.0900 C(2) -0.0071615 0.0038608 -1.8549179 0.0694 C(3) 0.0035802 0.0026946 1.3286169 0.1899 C(4) 0.0040201 0.0038213 1.0520246 0.2977 C(S) 0.0043616 0.0051544 0.8461905 0.4014 C(6) 0.0036720 0.0054903 0.6688182 0.5066 C(7) -0.2743993 0.3211317 -0.8544760 0.3968 C(8) 0.3542810 0.3325082 1.0654807 0.2917 C(9) -1.2839549 0.3090338 -4.1547401 0.0001 ,,,,,m.u m..... mmm.mum..... mm.-.-m---mmmm....m...mum. R-squared 0.979397 Mean of dependent var -1.911255 Adjusted R-squared 0.976165 S.D. of dependent var 0.610544 S.E. of regression 0.094259 Sum of squared resid 0.453126 Log likelihood 61.44156 F-statistic 303.0437 Durbin-Watson stat 1.034563 Prob(F-statistic) 0.000000 u mmm.... mm.m.. m.m...mm...m... mm...m..mu.. NLS // Dependent Variable is LYLINO 53 Date: 7-20-1993 / Time: 23:38 SMPL range: 1928 - 1987 Number of observations: 60 LYLINO -C(1)*T2839+C(2)*T4049+C(3)*TS059+C(4)*T6069+C(S)*T7079+C(6)*T808 7*C(7)*LOG(C(8) *KLINOA (1/C(7) )+1-C(8) )+C(9) Convergence achieved after 2 iterations uummmmmmmmmmmmmmmmmmmmmmmminmummmummuummmmmmmminu=uuinmmuuminumumummuummmm COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) 0.0072341 0.0086047 0.8407205 0.4044 C(2) 0.0051121 0.0053042 0 9637879 0.3397 C(3) 0.0148348 0.0050212 2.9544124 0.0047 C(4) 0.0126798 0.0064987 1.9511147 0.0565 C(5) 0.0137831 0.0069631 1.9794368 0.0532 C(6) 0.0128241 0.0069723 1.8392831 0.0717 C(7) -0.8243762 0.3706599 -2.2240773 0.0306 C(8) 0.4472637 0.1562502 2.8624840 0.0061 C(9) -1.4963393 0.37q1015 -3.9470674 0.0002 -----------s--- mwmmmum m mmmm=mmmmuummmmmmmmmmmmmmmuu-w.Sumi==nmmu== R-squared 0.996675 Mean of dependent var -2.191933 Adjusted R-squared 0.996154 S.D. of dependent ver 1.111757 S.E. of regression 0.068948 Sum of squared resid 0.242448 Log likelihood 80.20302 F-statistic 1911.111 Durbin-Watson stat 1.317886 Prob(F-statistic) 0.000000 (2) Results for 1950-87 4mmpIe NLS // Dependent Variable is LYLKHAN SMPL range: 1950 - 1987 Number of observations: 38 LYLKHANmC(1)*T5059+C(2)*T6069+C(3)*T7079+C(4)*T8087+C(5)*LOG(C(6)*KLKHAN A(1/C(S))+1-C(6))+C(7) COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) 0.0011270 0.0048291 0.2333864 0.8170 C(2) -0.0006563 0.0051628 -0.1271136 0.8997 C(3) -0.0030198 0.0050557 -0.5972997 0.5546 C(4) -0.0034716 0.0045055 -0.7705352 0.4468 C(S) 9.7629283 220.16876 0.0443429 0.9649 C(6) 1.1237026 0.2228861 5.0415996 0.0000 C(7) -0.1735591 0.1109200 -1.5647225 0.1278 mmmm................... u.............mum..............mum........... m mu mu u u =. mum... mu m m = mum..... mu m.. mum,. R-squared 0.987796 Mean of dependent var 0.707439 Adjusted R-squared 0.985434 S.D. of dependent var 0.305213 S.E. of regression 0.036836 Sum of squared resid 0.042064 Log likelihood 75.39730 F-statistic 418.1935 Durhin-Watson stat 0.505965 Prob(F-statistic) 0.000000 mum........... mum mum mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm...........m...mm.m, mmm m....mmm....mm.m 54 NLS // Depenoent Variable is LYLOFF SMPL range: 1950 - 1987 Number of observations: 38 LYLOFF -C(1)*T5059+C(2)*T6069+C(3)*T7079+C(4)*T8087+C(5)*LOQ(C(6)*KLOFF* (1/C(5))+1-C(6))+C(7) COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) 0.0292335 0.0027887 10.482690 0.0000 C(2) 0.0288169 0.0029999 9.6060223 0.0000 C(3) 0.0297372 0.0030072 9.8888315 0.0000 C(4) 0.0291584 0.0028214 10.334843 0.0000 C(S) -0.5812015 0.0565917 -10.270078 0.0000 C(6) 0.5715239 0.0456052 12.531981 0.0000 C(7) 1.3912334 0.0869462 16.001090 0.0000 R-squared 0.999488 Mean of dependent var 2.812825 Adjusted R-squared 0.999389 S.D. of dependent var 0.594913 S.E. of regression 0.014707 Sum of squared resid 0.006705 Log likelihood 110.2862 F-statistic 10084.79 Durbin-Watson stat 1.390053 Prob(F-statistic) 0.000000 na..... nm..... m. ann mmnam maanmn aama,amm.... an --.-. NLS // Dependent Variable is LYLWES SMPL range: 1950 - 1987 Number of observations: 38 LYLWES =C(1)*T5059+C(2)*T6069+C(3)*T7079+C(4)*T8087+C(5)*LOG(C(6)*KLWESA (1/C(5) )+1-C(6) ) +C(7) COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. C(1) 0.0109709 0.0032629 3.3623384 0.0021 C(2) 0.0109651 0.0035797 3.0631462 0.0045 C(3) 0.0116165 0.0035835 3.2417041 0.0028 C(4) 0.0109505 0.0034259 3.1963828 0.0032 C(S) -0.5958245 0.0966218 -6.1665625 0.0000 C(6) 0.9598616 0.0134483 71.373976 0.0000 C(7) -0.8162872 0.0832581 -9.8042949 0.0000 m..a mmm .mmnan m.mnu.a m. mm.. m...... aaa...., m...... mm.... ns R-squared 0.998747 Mean of dependent var 1.285964 Adjusted R-squared 0.998505 S.D. of dependent var 0.356312 S.E. of regression 0.013777 Sum of squared resid 0.005884 Log likelihood 112.7701 F-statistic 4119.769 Durbin-Watson stat 1.922959 Prob(F-statistic) 0.000000 a..anm.... mna... m...am.... m n... a..aa... m,. .. m...., naa wm NLS // Dependent Variable is LYLINW 55 SMPL range: 1950 - 1987 Number of observations: 38 LYLINW .C(1)*T5059+C(2)*T6069+C(3)*T7079+C(4)*T8087+C(S)*LOG(C(6)*KLINWA (1/C(S))+1-C(6))+C(7) ------------------ n....mm. -m. .m.... m...fu.... -m.......... COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. .m... .......................... ..............m......mm...m......... m......... C(1) 0.0240169 0.0021467 11.187968 0.0000 C(2) 0.0236218 0.0023585 10.015738 0.0000 C(3) 0.0251244 0.0021509 11.681057 0.0000 C(4) 0.0243103 0.0018522 13.124830 0.0000 C(S) -0.1441544 0.0330823 -4.3574480 0.0001 C(6) 0.0020469 0.0031944 0.6407644 0.5264 C(7) -2.4449147 0.1045291 -23.389801 0.0000 R-squared 0.997683 Mean of dependent var -1.535708 Adjusted R-squared 0.997234 S.D. of dependent var 0.417767 S.E. of regression 0.021971 Sum of squared resid 0.014965 Log likelihood 95.03323 F-statistic 2224.312 Durbin-Watson stat 0.506999 Prob(F-statistic) 0.000000 NLS // Dependent Variable is LYLINO SMPL range: 1950 - 1987 Number of observations: 38 LYLINO -C(l)*T5059+C(2)*T6069+C(3)*T7079+C(4)*T8087+C(5)*LOG(C(6)*KLINO^ (1/C(s) )+1-C(6) )+C(7) COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. m..u....m m...mmunau.... m_... m...am...... mm.,.,mm. C(1) 0.0371878 0.0049959 7.4436178 0.0000 C(2) 0.0359650 0.0053985 6.6619911 0.0000 C(3) 0.0373821 0.0054797 6.8219713 0.0000 C(4) 0.0361438 0.0052913 6.8308024 0.0000 C(5) -0.6618038 0.1296726 -5.1036531 0.0000 C(6) 0.1022757 0.0669595 1.5274265 0.1368 C(7) -2.7672364 0.2907247 -9.5184097 0.0000 ................ m... mm..um ..u....m.. .m.m.mu.mUu m.m.m....................mm................... mum R-squared 0.999228 Mean of dependent var -1.481138 Adjusted R-squared 0.999079 S.D. of dependent var 0.657494 S.E. of regression 0.019953 Sum of squared resid 0.012342 Log likelihood 98.69529 F-statistic 6690.964 Durbin-Watson stat 1.008779 Prob(F-statistic) 0.000000 56 (a) Regrsian wth Defense qpmndfng/rnP NLS // Dependent Variable is LYLWES SMPL range: 1960 - 1987 Number of observations: 28 LYLWES-C(1)*TIME+C(2)*TIME*DEFGDP+C(3)*LOG(C(4)*KLWESA(1/C(3))+1-C(4))+C (5) mmm u u mN--m.. m.....m.. mm m mm mmmm am a m....... mm, mmmm.m.m., mm COEFFICIENT STD. ERROR T-STAT. 2-TAIL SIG. mm..... m... mmmmmmmmmam...ammmmmmmiam.mmmmmmmammmmmmm C(l) 0.0207134 0.0059611 3.4747771 0.0021 C(2) -0.0727455 0.0108381 -6.7120112 0.0000 C(3) -0.5785414 0.2470464 -2.3418330 0.0282 C(4) 0.9690962 0.0396033 24.470094 0.0000 C(5) -0.8963781 0.2645463 -3.3883604 0.0025 R-squared 0.996629 Mean of dependent var 1.468442 Adjusted R-squared 0.996042 S.D. of dep)endent var 0.179790 S.E. of regression 0.011310 Sum of squaied resid 0.002942 Log likelihood 88.52034 F-statistic 1699.821 Durbin-Watson stat 2.232942 Prob(F-statistic) 0.000000 mm... am....... a mam mmm ms.m.m mm. ... m. amimammmmma..ammmmmmm Pollcy Research Working Paper Series Contact Title Author Date for paper WPS1264 A Rock and a Hard Place: The Two J. Michael Finger March 1994 M. Patenia Faces of U.S. Trade Policy Toward Korea 37947 WPS1265 Parallel Exchange Rates in Miguel A. Kiguel March 1994 R. Luz Developing Countries: Lessons from Stephen A. O'Connell 34303 Eight Case Studies WPS1266 An Efficient Frontier for International Sudhakar Satyanarayan March 1994 D. Gustafson Portfolios with Commodity Assets Panos Varangis 33732 WPS1267 The Tax Base in Transition: The Case Zeljko Bogelic March 1994 F. Smith of Bulgaria Arye L. Hillman 36072 WPS1268 The Reform of Mechanisms for Eliana La Ferrara March 1994 N. Artis Foreign Exchange Allocation: Theory 3abriel Castillo 38010 and Lescons from Sub-Saharan John Nash Africa WPS1269 Union-Nonunion Wage Differentials Alexis Panagides March 1994 I Conachy in the Deveioping World: A Case Harry Anthony Patrinos 33669 Study of Mexico WPS1270 How Land-Based Targeting Affects Martin Ravallion March 1994 P. Cook Rural Poverty Binayak Sen 33902 WPS1271 Measuring the Effect of External F. Desmond McCarthy March 1994 M. Divino Shocks and the Policy Response to J. Peter Neary 33739 Them: Empirical Methodology Applied Giovanni Zanalda to the Philippines WPS1272 The Value of Superlund Cleanups: Shreekant Gupta March 1994 A. Maranon Evidence from U.S. Environmental George Van Houtven 39074 Protection Agency Decisions Maureen L. Cropper WPS1273 Desired Fertility and the Impact of Lant H. Pritchett March 1994 P. Cook Population Policies Lawrence H. Summers 33902 WPS1274 The New Trade Theory and Its Asad Alam March 1994 A. Alam Relevance for Developing Countries 87380 WPS1275 Female-Headed Households, Ricardo Barros March 1994 K. Binkley Poverty, and the Welfare of Children Louise Fox 81143 in Urban Brazil WPS1276 Is There Persistence in the Growth Ashoka MY' y March 1994 M. Patefia of Manufactured Exports? Evidence Kamil Yilmaz 37947 from Newly Industrializing Countries WPS1277 Private Trader Response to Market Steven Jaffee March 1994 C. Spooner Liberalization in Tanzania's Cashew 32116 Nut Industry Policy Research Working Paper Series Contact TitIS Author Date for psper WPS1278 Regulation and Commitment In the Ahmed Galal March 1994 B. lMoore Development of Telecommunications 38526 in Chile WPS1279 Optimal Hedging Strategy Ravisited: Ying Oian March 1994 S. Lipscomb Acknowledging the Existence of Ronald Duncan 33718 Nonstationary Economic Time Series WPS1280 The Economic Impact of Export Wendy E. Takacs March 1994 M. Pateha Controls: An Applbcatlon to Mongolian 37947 Cashmere and Romanian Wood Products WPS1281 Human and Physical Infrastructure: Emmanuel Jimenez Aprl 1994 L. Longo Public Investment and Pricing Policies 37786 in Developing Countries WPS1282 Copper and the Negative Price of Donald Frederick Larson April 1994 A. Kim Storage 33715 WPS1283 Interest Rates in Open Economies: Dipak Das Gupta April 1994 B. Kim Real Interest Rate Parity, Exchange Betoy Das Gupta 82467 Rates, and Country Risk in Industrial and Developing Countries WPS1284 The Soviet Economic Decline: William Easterly April 1994 R. Martin Historical and Republican Data Stanley Fischer 31320