Post-war growth, productivity convergence and reconstruction A theoretical and empirical investigation Werner Smolny University of Konstanz, Germany Revision June 1999 Abstract: In this paper, it is shown that aggregate cross-country analyses of the growth process of the industrial countries should take reconstruction eects into account. The enormous growth rates in many European countries and in Japan in the fties which often appear as outliers in aggregate analyses of productivity convergence can be understood as a catching-up with respect to the past. Neoclassical capital deepening combined with arguments from growth models relying on the stock of knowledge, knowledge spillovers and technological diusion as the source of economic growth can explain the fast reconstruction after the war, without referring to country-specic growth factors. Keywords: Endogenous growth, convergence, reconstruction. JEL No.: N10, O47, O57 Address: University of Konstanz, D 139, D-78457 Konstanz Tel.: (49) 7531 88 4326, Fax: (49) 7531 88 3120 e-mail: [email protected] I would like to thank the Editorial Board and a referee of the Bulletin for helpful comments on an earlier version of this paper. Contents 1 Introduction 1 2 Economic growth: A long-run perspective 2 3 The early post-war period: Reconstruction 6 4 Productivity convergence 1950-1988 12 5 Economic growth in the fties 14 6 Conclusions 20 References 21 List of Figures 1 2 3 4 5 Economic growth in Germany and the United States Catching-up with respect to the United States . . . Reconstruction growth 1947-1950 . . . . . . . . . . . Annual reconstruction growth . . . . . . . . . . . . . Labour productivity growth in the fties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 . 5 . 8 . 9 . 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . List of Tables 1 2 3 4 Reconstruction growth 1947-1950 . . . . . . . Labour productivity convergence 1950-1988 . Labour productivity growth in the fties . . . Labour productivity growth since the sixties . . . . . . . . . . . . . . . . . 10 14 17 19 1 Introduction The recent development of endogenous growth theory has renewed the interest into the determinants of productivity growth in the industrialized countries after World War II. The most outstanding stylized facts of the economic development in the post-war period are the extraordinary high growth rates of output and labour productivity during the rst quarter-century after the war. This paper contributes to this discussion with a reassessment of the successful growth performance of many European countries and Japan during post-war reconstruction. It is argued that most of the \growth miracles" of those countries after the war can be explained consistently with neoclassical capital deepening, augmented with arguments from endogenous growth models which place their emphasis on the stock of knowledge as the primary source of economic growth. The destruction of productive capacities by the war implied a temporary deviation from the steady state, and a part of the high growth after the war can be understood as the return to the steady state.1 It is shown that the growth dierences in the early post-war period 1947-1950 correspond closely to the gap between actual production and the technological potential of those countries, i.e. those countries which were mostly damaged by the war grew fastest afterwards. Most of the dierences of productivity growth in the industrial countries since the fties can be explained consistently with growth models relying on knowledge spillovers, technological diusion and convergence towards \best practice" technology.2 However, the empirical analysis in this paper also reveals that aggregate cross-country analyses of the growth process should take reconstruction eects into account. It is shown that those countries which grew fastest during the period 1950-1988 are again those which were mostly damaged during the war and which grew fastests during the early reconstruction phase 1947-1950. Especially in the fties, the high growth rates of Japan, Germany, Austria and Italy are outstanding as compared with the other industrial countries. Of course, \pure" reconstruction was probably responsible only for a small part of the economic success of those countries, since pre-war productivity levels were achieved already at the beginning of the fties. However, the technological development had not stopped during the war, and the enormous growth in the early reconstruction phase had created an economic atmosphere with demand increases and high physical and R&D investment which was favourable to economic growth afterwards. The empirical results in the paper reveal that the standard arguments for productivity convergence since the fties, i.e. neoclassical capital deepening and technological diusion, should be augmented with specic arguments which 1 For overviews of this discussion, see Dumke (1990), Eichengreen (1995a) and Lindlar (1997). 2 See e.g. Abramovitz (1986,1990), Dowrick and Nguyen (1989) and Nelson and Wright (1992). 1 were most favourable for the European countries and Japan during reconstruction. Firstly, the technological potential aquired during the war was still above actual production at the beginning of the fties. The results indicate that the backlog of production was quantitatively as important for economic growth as technological diusion and more important than capital deepening. Secondly, other authors emphasized the role of institutional factors for the fast reconstruction. For instance, Eichengreen and Uzan (1992) and Eichengreen (1995a) argue that the rebuilding of the market system, the Marshall Plan and the international cooperation within the GATT and the Bretton Woods exchange system contributed importantly to the recovery after the war.3 International trade broke down during the war, and the increasing international cooperation during the fties enhanced the eÆciency of factor allocation. It also provided opportunities and incentives for productivity enhancements through scale economies, productivity spillovers and international competition. The results in the paper can be compared with those of Crafts and Mills (1996) and the literature associated with the Janossy hypothesis.4 In contrast to this work, the results here neither imply convergence to country-specic trends nor do they imply convergence to a common growth rate. Instead, they indicate that the long-run development is dominated by convergence of total factor productivity levels towards best practice technology, based on the international diusion of technological knowledge. The United States exhibited a rather low productivity growth rate since the fties, and the European countries could achieve higher growth 1950-1980 because their initial productivity level was lower. This catching-up is based on capital deepening and technological diusion. In addition, the catching-up was faster in the fties due to the favourable circumstances during reconstruction. This can be understood as a catching-up with respect to the past. The data source for the empirical investigation are rstly Maddison's (1991) long-run data on real GDP for 16 industrialized countries 1900-1989. These data were supplemented with data on real GDP per worker 1950-1988 from the Penn World Tables (Summers and Heston, 1991) for the corresponding countries. After a brief discussion of the long-run trends of output and labour productivity, the analysis proceeds with a reassessment of the growth miracles in Europe during the early reconstruction phase 1946-1950, a recapitulation of productivity convergence since the fties and a discussion of the sources of productivity growth during the fties. 2 Economic growth: A long-run perspective The outstanding characteristic of gures of economic growth for the European countries and for Japan during this century is the breakdown of production at the end of World War II. After the war, many countries faced a breakdown 3 4 See also Hennings (1982), Dumke (1990) and Crafts and Toniolo (1996). For a discussion of this literature, see Dumke (1990). 2 of production to about one half of pre-war levels. For instance, Maddison's (1991) index of real GDP for Germany dropped from 169 in 1938 to 83 in 1946 (see gure 1).5 The United States, in contrast, exhibited strong GDP growth during the war-time period 1939-1945 and returned to peace-time levels in 1946. The GDP index nearly doubled from 165 in 1939 to 313 in 1945 and dropped to about 250 afterwards. The other West-European countries were less severly aected by the war, but exhibited lower growth rates during the wartime period, as compared with the United States. Reconstruction in Europe started soon after the end of the war and in 1950/1951, real output in the mostly damaged countries reached pre-war levels. The fties brought a period of rapid growth with about a doubling of the capital stock, output and labour productivity.6 The most outstanding stylized facts of the economic development since the fties are the extraordinary high growth rates of labour productivity. However, growth rates slowed down since the seventies, and the United States who \. . . was the world's most productive economy by virtually any measure" (Nelson and Wright 1992, p.1931) for a long time after the war experienced a much slower rate of productivity advance almost during the whole period (see the upper panel of gure 2). In the lower panel, productivity growth of the industrialized countries 1951-1988 is depicted against the productivity gap with respect to the United States in 1950. The gure recapitulates the well-known story of productivity convergence since the fties. Those countries which lag mostly behind the United States grew fastest, those countries which exhibited a high productivity level already in 1950 grew slower. The most prominent hypothesis for this development is the catching-up of the follower countries with respect to the leader. After the war, the United States was the productivity leader in virtually every industry. The mostly cited reason for this lead are the economies of a large market which permitted taking advantage of scale economies and knowledge spillovers. Another reason is the destruction of productive capacities and economic institutions in many European countries and in Japan during the war. The hypothesis for catchingup is that the reasons for the technological leadership of the United States had eroded.7 The increasing international cooperation through trade and foreign direct investment opened the opportunity for the followers to catch up. 5 The base year (index=100) is 1913. Crafts and Mills (1996) report unit root tests from the long-run data. 6 German production grew from 1946 onward, but the foundations for the economic development were laid with institutional changes such as the currency reform, the partial dismantling of war-time controls and the announcement of the Marshall Plan in 1948. Soon afterwards, output reached pre-war levels, and during the fties, Germany experienced a period of rapid growth with about a doubling of the capital stock, output and labour productivity. See Hennings (1982), Dumke (1990), Wolf (1995) and Lindlar (1997). 7 See e.g. Abramovitz (1986,1990), Baumol (1986), Maddison (1987), Dowrick and Nguyen (1989), Baumol, Blackman and Wol (1989), Wol (1991) and Nelson and Wright (1992). This led to a discussion about the loss of technological leadership. See Baumol, Blackman and Wol (1989) and Nelson and Wright (1992). 3 Figure 1: Economic growth in Germany and the United States Logarithm of index of real GDP, tted trend. The base year (index=1) is 1913. Source: Maddison (1991). 4 Figure 2: Catching-up with respect to the United States US Ger Jap Upper panel: Logarithm of real GDP per worker, 1985 international prices. Lower panel: Average labour productivity growth, logarithm of labour productivity gap with respect to the United States. Source: Summers and Heston (1991). 5 The waning of opportunities then oers a partial explanation for the observed slowdown of productivity growth since the seventies in the follower countries. A theoretical background for the catching-up hypothesis is found both in the neoclassical growth model and in endogenous growth models. In neoclassical models, a country's labour productivity growth rate tends to be inversely related to its starting level due to diminishing returns of reproducible capital.8 Many endogenous growth models, in contrast, focus on diusion of technology through knowledge spillovers and vanishing dierences of total factor productivity levels.9 A related argument relevant to the convergence debate is reconstruction growth.10 After the war, a large gap existed between actual output and the technological potential of many European countries and in Japan. Part of the high growth of those countries in the early post-war period can be attributed to the closing of this gap. In the following analysis, it is shown that cross-country analyses of productivity growth and convergence in the post-war period should take these reconstruction eects into account. Reconstruction eects are rstly explained within the neoclassical growth framework. The destruction of productive capacities by the war implied a temporary deviation from the steady state, and a part of the growth miracles of the European countries and Japan after the war was simply return to the steady state. This kind of reconstruction was probably responsible only for a small part of the economic success of those countries, since pre-war output levels were achieved already in 1950/1951. However, the technological development had not stopped during the war. In this paper, it is argued that the enormous growth in the early reconstruction phase was favourable to economic growth afterwards. These reconstruction eects can explain the sucessful growth performance of e.g. Germany and Japan in the fties which often appear as outliers in cross-county analyses of the growth process for the post-war period.11 3 The early post-war period: Reconstruction During the war and immediately afterwards, many countries (Germany, Japan, Italy, Austria, France and the Netherlands) faced a breakdown of production to about one half of pre-war levels. The bulk of war-time destruction took place in dierent years for those countries. France and the Netherlands experienced output reductions since 1940, Japan and Italy exhibited output growth until 1942/1943 and in Germany and Austria, output growth lasted until 1944. The 8 See Solow (1956), Denison (1967), Maddison (1987) and Barro (1991). See e.g. Dowrick and Nguyen (1989), Grossman and Helpman (1991) and Coe and Helpman (1995). 10 Overviews of the literature are given by the collections of Boltho (1982), Eichengreen (1995), van Ark and Crafts (1996) and Crafts and Toniolo (1996). 11 See Denison (1967), Maddison (1987) and Dowrick and Nguyen (1989). Note that the survey of Fagerberg (1994) hardly mentions reconstruction growth as a source of catching-up. 9 6 United States, in contrast, exhibited strong GDP growth during the war-time period 1939-1945. Australia and Canada were hardly aected by the war, and the other West-European countries in the sample (Belgium, Denmark, Finland, Norway, Sweden, Switzerland and the United Kingdom) were less severly affected by the war, but exhibited lower growth rates during the war-time period as compared with the United States and Canada. Reconstruction started soon after the end of the war 1945/1946, but in those years, the dierences between the countries were still large. Especially in the Netherlands, in France and in Italy, strong reconstruction growth occurred already in 1946. Germany, in contrast, experienced the strongest breakdown of production in this year, and the United States exhibited a strong output reduction due to the return to peace-time levels. In the upper panel of gure 3, average reconstruction growth during the years 1947-1950 is depicted against the war-time gap 1946 as compared with 1938.12 The remarkable feature of this gure is the strong correlation of reconstruction growth with the extent of war-time destruction, i.e. those countries which were mostly damaged by the war exhibited the strongest growth afterwards: { Germany and Austria who started with output levels of about one half of pre-war levels in 1946 exhibited the strongest output growth of above 15 percent during the early reconstruction phase. { Italy, France and the Netherlands who experienced strong reconstruction growth already in 1946 grew at a rate of 9 percent 1947-1950. { The other European countries in the sample which were less severely damaged during the war and had achieved pre-war output levels already in 1946 exhibited an output growth of 4-6 percent. { The United States and Canada who experienced the strongest increase of production during the war exhibited low growth rates of only 3 percent. In the lower panel of gure 3, the annual growth rates 1947-1950 are depicted against the war-time gap in t-1 vs. 1938. The gure reveals that especially in Germany (marked in the gure) growth rates slowed down as the war-time gap reduced. A corresponding result is revealed for most of the other countries (see gure 4). The dierences of the growth rates became smaller as the war-time gap closed. In table 1, some estimation results on reconstruction growth are reported. They rstly conrm the strong correlation of reconstruction growth and the extent of war-time damage. The war-time gap explains more that 80 percent of the variance of reconstruction growth rates of those countries (version 1). 12 Reconstruction growth is dened as the average growth rate of real GDP 1947-1950, and the war-time gap is dened as the logarithm of real GDP 1946 as compared with the pre-war GDP level 1938. The country codes correspond to those of Maddison (1989). Figure 1.1 in Eichengreen (1995a) depicts a similar result for a slightly dierent time period. 7 Figure 3: Reconstruction growth 1947-1950 Germany Reconstruction growth: Growth rate of real GDP. War-time gap: Logarithm of relative real GDP. Source: Maddison (1991). 8 Figure 4: Annual reconstruction growth War-time gap: Logarithm of relative output. Source: Maddison (1991). About 11 percent of the war-time gap 1946 vs. 1938 were closed each year 19471950. In addition, the past growth experience of the countries during the period 1920-1938 and the labour productivity gap vs. the United States in 1938 do not contribute signicantly to the explanation of reconstruction growth (version 24).13 That means that productivity spillovers from abroad and country-specic long-run trends were not important for this period. Note that reconstruction in Japan was slower, as compared with the war-time gap, and the United Kingdom experienced very slow growth during the years 1947-1950. However, a dummy variable for Japan did not prove signicant and hardly changed the coeÆcient of the war-time gap. In the panel below, some estimates with the pooled annual data are reported. They yield about the same results for reconstruction growth. With pooled data, about 52 percent of the variance of the annual growth rates can be explained (version 5); introducing time dummies for each year hardly aects 13 The source of the productivity data for 1938 is Maddison (1991). Corresponding data for 1946 were not available. 9 Table 1: Reconstruction growth 1947-1950 Average GDP growth 1947-1950 (1) 0.069 constant (14.9) (2) 0.065 (3) 0.079 (3.8) (6.4) (4) 0.070 mean std (4.0) war-time gap -0.110 -0.109 -0.118 -0.119 -0.006 0.36 1946 vs. 1938 (-8.2) (-7.4) (-6.8) (-6.8) average output growth 0.138 0.506 0.027 0.01 1920-1938 (0.2) (0.7) labour productivity gap 0.015 0.023 -0.633 0.34 vs. the United States 1938 (0.8) (1.1) SEE 0.018 0.019 0.019 0.019 2 R 0.816 0.803 0.812 0.805 Cross section estimates, 16 observations. Average GDP growth 1947-1950: 0.070. Standard deviation across countries: 0.043 Annual GDP growth 1947-1950 constant war-time gap t-1 vs. 1938 SEE R 2 dummies (5) 0.083 (6) 0.096 (7) 0.085 mean std -0.127 -0.133 -0.124 0.102 0.30 0.037 0.517 no 0.036 0.520 time 0.034 0.588 country (17.1) (-8.3) (9.9) (-8.4) (3.1) (-2.9) Pooled annual data, 64 observations. Standard deviation of annual data: 0.053 Reference country: United States. Reference period: 1950 Annual output growth 1945/46 0.047 1946/47 0.073 1947/48 0.087 1948/49 0.084 1949/50 0.083 -0.310 -0.119 -0.163 -0.161 -0.071 0.212 0.243 0.049 0.402 0.033 0.707 0.032 0.632 0.025 0.256 mean std. 0.071 0.244 0.073 0.064 0.076 0.061 0.060 0.053 0.069 0.029 mean std. -0.077 0.425 -0.006 0.358 0.067 0.319 0.143 0.269 0.204 0.228 constant war-time gap t-1 vs. 1938 SEE R 2 growth rate war-time gap (0.9) (-2.4) (5.9) (-3.3) (10.3) (-6.1) (9.0) (-5.2) Cross section estimates, 16 observations. t-values in parantheses. 10 (9.7) (-2.5) the estimates (version 6); introducing country dummies for each country does not change the adjustment coeÆcient and increases the R2 only slighly to about 59 percent (version 7). Finally, in the bottom panel estimates for each year are reported. They reveal that the average adjustment with respect to the pre-war level was mostly signicant in 1948 and 1949. In 1946, the dierences between the countries were large, and for 1950, the coeÆcient of the war-time gap is much smaller. In addition, the standard deviation of the gap became smaller (from 0.43 in 1945 to 0.21 in 1950) and the standard deviation of the growth rates became smaller (from 0.24 in 1946 to 0.03 in 1950) as the output gap closed (see also gure 4). These empirical results reveal the fast recovery of output to pre-war levels in the mostly damaged European countries and in Japan. At the beginning of the fties, those countries had achieved at least the pre-war level of production. The estimation results also show that the growth miracles of those countries in the early post-war period need not be explained with country-specic growth factors, but rather can be seen as the general development after the breakdown during the war.14 Most of the dierences of reconstruction growth correspond closely to the extent of war-time damage. Even the timing of reconstruction growth rates can to a large extent be explained within the neoclassical growth framework as the return to the steady state level of production and within growth models relying on the stock of knowledge as the recovery of the technological potential of those countries, i.e. as a \catching-up with respect to the past": { First, physical capital was not destroyed to the extent expected by observers in the early post-war period. For instance, Krengel's (1958) estimates for Germany imply that war-time investments exceeded the extent of war-time damage. { Second, the help from the Marshall Plan contributed to the fast rebuilding of the capital stock. This argument was emphasized by Eichengreen and Uzan (1992). { Third, the technological potential which was achieved during the war in Europe and Japan was not destroyed by the war. Note that the level of production and investment during the war exceeded pre-war levels in many countries. In Germany, for instance, annual war-time investments in the investment goods industry were more than twice the value of 1936/37.15 { Fourth, the breakdown of international trade during the war enhanced the eÆciency gains from rising import and export shares after the war. 14 For instance, Hennings (1982) discusses the importance of the inow of qualied workers from the eastern area and institutional changes such as the monetary reform for reconstruction in Germany. See also Wolf (1995). 15 See Krengel (1958). 11 { Finally, those countries were endowed with a well educated work force and quickly rebuild (restored) the neccessary institutions for economic and technological advancement. This argument is emphasized by Abramowitz (1986,1990), who coined the term of the \social capability" for catchingup. 4 Productivity convergence 1950-1988 In the early post-war period, the United States was the productivity leader in virtually every industry. In 1950, the level of GDP per worker in the United States was about twice as high as the productivity level of the major European countries, three times as high as in Germany, Austria and Italy, and seven times as high as in Japan (see gure 2 above). The following reasons are cited for this lead (Nelson and Wright, 1992): { The availability and the techniques of exploiting natural resources in the United States. { The destruction of a large part of productive capacities and economic institutions in many European countries and in Japan during the war. { The economies of a large market which permitted taking advantage of scale economies and knowledge spillovers. The most prominent hypothesis for the catching-up of the follower countries after the war is that the reasons for the technological leadership of the United States had eroded. Trade in natural resources expanded and countries became less dependent on local materials, war-time deconstruction ceased to be important, and a large market for industrial products also emerged in Europe. Productivity convergence can rstly be explained within the neoclassical growth framework.16 In neoclassical models, labour productivity growth tends to be inversely related to the level of productivity due to diminishing returns to reproducible capital. Catching-up is simply convergence of capital-labour ratios. In addition, the destruction of productive capacities by the war implied a temporary deviation from the steady state, and a part of the high growth after the war can be explained as the return to the steady state. However, prewar output levels were achieved already in 1950/1951, and standard growth accounting exercises within the neoclassical model leave a large residual not accounted for by the growth of inputs.17 Models of technological diusion, in contrast, focus on knowledge spillovers between rms and scale economies at the aggregate level to explain productiv16 See e.g. Denison (1967), Maddison (1987), Barro (1991), Barro and Sala-i-Martin (1992,1995) and Mankiw, Romer and Weil (1992). 17 See e.g. Solow (1957), Denison (1967), Maddison (1987) and Dowrick and Nguyen (1989). 12 ity convergence.18 Those models t almost perfectly into the picture of loosing leadership of the United States' economy since the fties. During that period, markets and business had become more global, and national technology due to geographical proximity ceased to be important. Mass production techniques became widespread, a large market of industrial products also emerged in Europe, and the increasing international trade implied that \. . . eÆcient companies producing attractive products increasingly faced a world market rather than a national market" (Nelson and Wright 1992, p. 1957). This development was accompanied by a large increase of foreign direct investment as for instance European branches of United States' rms. Protectionism became less practicable than before, and \best practice" technology became available for everybody. In table 2, some estimation results on productivity convergence are reported. They rstly conrm the importance of catching-up for productivity growth. The productivity gap with respect to the United States in 1950 explains more than 90 percent of the variance of productivity growth rates 19511988 (version 1) and 1951-1973 (version 4). The estimated coeÆcient in version (1) corresponds to an annual rate of unconditional convergence obtained within the neoclassical growth framework of about 4 percent.19 Notice the rather slow adjustment of productivity levels with respect to the United States, as compared with the very fast adjustment of output to pre-war levels during the early reconstruction phase.20 These results conrm that productivity catching-up with respect to the United States should be an important ingredient of the explanation of productivity growth in the post-war period. However, the productivity data also reveal that those countries which grew fastest during the period 1951-1988 (Japan, Italy, Austria and Germany) are also those which were mostly damaged during the war and which grew fastest during the early reconstruction phase. In contrast, the lowest growth rates occurred in the United States, Canada and Australia, i.e. those countries which were not or hardly damaged during the war. In addition, the productivity gap with respect to the United States was to a large extent caused by war-time destruction.21 Finally, Germany and Japan 18 See Grossman and Helpman (1991), Fagerberg (1994), Coe and Helpman (1995) and Barro and Sala-i-Martin (1995). The work on endogenous growth through knowledge spillovers was inspired by the articles of Romer (1986) and Lucas (1988). 19 The implied annual rate of convergence can be calculated from c t = 1 e t , where c is the estimated coeÆcient and t is the number of time periods. See Mankiw, Romer and Weil (1992), pp. 423-25. 20 Results for sub-periods revealed that most of the catching-up occurred until 1980. For the eighties, the productivity gap hardly contributed to the explanation of productivity growth. This corresponds to the about constant productivity gap in this period. In 1980, the other industrial countries had achieved about 75 percent of the productivity level of the United States. See also Smolny (1999). 21 For instance, Germany and Japan exhibited a lower productivity level 1950 as compared with 1938 and exhibited large output growth until 1943/1944. The highest war level of output in Germany, Austria and Japan was about 20 percent above the pre-war level 1938. See Maddison (1991). 13 Table 2: Labour productivity convergence 1950-1988 average labour productivity growth sample constant 1951{1988 (1) (2) (3) 0.012 0.012 0.012 ( 8.6) ( 7.6) ( 5.2) 1951{1973 (4) (5) (6) 0.015 0.013 0.019 ( 6.7) ( 6.1) ( 5.8) labour productivity gap -0.021 -0.021 -0.021 -0.029 -0.025 -0.023 vs. the United States 1950 (-14.3) (-10.2) (-7.4) (-12.2) (-8.9) (-5.7) reconstruction growth 0.015 0.067 ( 0.6) ( 2.0) 1947-1950 war-time gap -0.001 -0.010 (-0.1) (-1.7) 1946 vs. 1938 SEE 0.003 0.003 0.003 0.005 0.004 0.004 2 R 0.932 0.929 0.927 0.908 0.925 0.920 Cross-section estimates, 16 observations. t-values in parantheses. are often mentioned as outliers in analyses of productivity convergence across countries 1950-1988.22 Therefore, in versions (2), (3) and (5), (6) it is tested for reconstruction eects on productivity convergence 1951-1988 and 1951-1973, respectively. For this purpose, the reconstruction growth rate 1947-1950 and the war-time gap 1946 vs. 1938 are added as explanatory variables. Both variables are not signicant for the longer time period, but the results for the years 1950-1973 indicate some importance of reconstruction eects for this period. Since a large part of the productivity gap was closed in the fties, a more detailed look at the productivity performance in this period appears worthwhile. 5 Economic growth in the fties In the upper panel of gure 5, productivity growth of the industrial countries in the fties is depicted against the productivity gap with respect to the United States in 1950. The above 6 percent productivity growth rates of Japan, Germany, Austria and Italy and the about 4.5 percent growth rates of France and the Netherlands are outstanding as compared with the about 3 percent growth rates of the other European countries and the about 2 percent growth rates of the United States, Canada and Australia. This does not contradict the explanation of productivity catching-up in terms of knowledge spillovers, technological diusion and catching-up with respect to the United States. Those growth rates correspond largely to the respective productivity gap of those countries. 22 See Denison (1967), Maddison (1987) and Dowrick and Nguyen (1989). 14 Figure 5: Labour productivity growth in the fties Source: Maddison (1991), Summers and Heston (1991) 15 However, the high growth rates in the fties also correspond to the extent of war-time destruction and the high growth rates during the early reconstruction phase (see the lower panels of gure 5). In Germany, Austria and Japan, the level of GDP 1946 was about one half of the pre-war level 1938. Correspondingly, output growth 1947-1950 in Germany and Austria exceeded 15 percent and was about 9 percent in Japan, Italy, France and the Netherlands. The other European countries grew with rates of about 4 to 6 percent, and the United States exhibited a low growth rate of about 2 percent. In table 3, some estimates for the sources of productivity growth in the fties are reported. In version (1), the productivity gap with respect to the United States is the only explanatory variable. The implied annual rate of convergence in the fties is about 3.5 percent. In version (2) and (3), only the war-time gap of relative output 1946 vs. 1938 or the average growth rate during the early reconstruction phase 1947-1950 are included. The results reveal that the catching-up with respect to the past exhibits about the same explanatory power for productivity growth as the productivity catching-up with respect to the United States. In both cases, about 80 percent of the cross-country variance of growth rates are explained. Productivity growth in the fties was the higher, the lower the productivity level as compared with the United States, the lower the output level 1946 as compared with 1938, and the higher the growth rate in the early reconstruction phase. In versions (4) and (5), the results of the combined model are reported.23 They reveal that reconstruction eects remain signicant even after controlling for the productivity gap with respect to the United States. The productivity gap, the war-time output gap and the growth rate in the early post-war period exhibit a signicant and quantitatively large eect on productivity growth in the fties. The estimates imply that { the catching-up with respect to the United States explains about 4 percentage points of the seven percent growth rate of Japan24 and about 2.5 percentage points of the 6 percent growth rates of Germany, Austria and Italy, { the catching-up with respect to the past explains about 2 percentage points of the about 6 percent growth rates of Germany, Austria and Japan, { productivity convergence and reconstruction eects together explain about 90 percent of the variance of productivity growth rates in the fties, { the estimated annual rate of convergence is reduced by about 1 percentage point by the inclusion of reconstruction eects. 23 Due to multicollinearity, it was not possible to include both, the war-time gap and the reconstruction growth rate. See gure 3 and table 1 above. 24 That means, the outlier is not the high growth of Japan since the fties, but rather the slow start of reconstruction after the war. See gures 3 and 4. 16 Table 3: Labour productivity growth in the fties labour productivity growth 1951-1960 constant (1) (2) (3) (4) (5) (6) (7) 0.015 0.039 0.016 0.025 0.011 -0.014 -0.022 ( 4.2) (20.3) ( 3.5) ( 5.3) ( 4.1) (-0.8) (-1.5) labour productivity gap -0.031 vs. the United States 1950 (-8.1) war-time gap -0.042 (-7.7) 1946 vs. 1938 reconstruction 0.325 ( 5.6) growth 1947-1950 country size -0.018 -0.022 -0.018 -0.021 (-3.1) (-6.4) (-3.5) (-7.0) -0.022 -0.018 (-2.7) (-2.5) 0.162 ( 4.1) investment share SEE R 2 0.138 ( 3.8) 0.003 0.002 ( 1.8) ( 2.1) 0.071 0.055 ( 2.3) ( 2.1) 0.007 0.008 0.010 0.006 0.005 0.005 0.004 0.813 0.795 0.670 0.872 0.913 0.900 0.931 Cross section estimates, 16 observations. t-values in parantheses. Once again, excluding Japan from the sample hardly changes the estimated coeÆcients; instead, the estimated equation explains the development of Japan as well.25 In versions (6) and (7), the size of the countries (measured as the logarithm of the number of employees) and the investment share are added to the list of explanatory variables.26 Country size should approximate scale economies, and the results imply that large countries grew slightly faster, i.e. the results indicate some importance of scale economies. Note that in the fties, international trade was still very low. The coeÆcient of the investment share yields an estimate of the contribution of capital accumulation to the catchingup. On average, capital accumulation contributed slightly above 1 percentage point to the explanation of economic growth, i.e. less than the productivity gap with respect to the United States and less than the war-time gap and the reconstruction growth rate for the damaged countries. The results indicate that capital deepening captures a part of the reconstruction eect, the coeÆcients of the reconstruction variables became smaller. However, the reconstruction eects remain signicant, and the productivity catching-up with respect to the United States even gains signicance by the inclusion of the investment share. This conrms that catching-up reects more than neoclassical capital deepening. Note that versions (6) and (7) can be interpreted as tests for conditional convergence within a neoclassical growth model. The implied annual rate of 25 The estimated coeÆcient (t-value) of a dummy variable for Japan in specication (5) is -0.002 (-0.3) and -0.003 (-0.42) in version (7). 26 The source of the data is again Summers and Heston (1991). 17 conditional convergence is about 2.5 percent, the implied production elasticity of physical capital is about 0.25.27 These estimates show that capital deepening combined with arguments from growth models which place their emphasis on knowledge spillovers, technological diusion and the stock of knowledge can explain the fast pace of reconstruction after the war. The large growth rates of some of the European countries and Japan during the early reconstruction phase 1947-1950 and during the fties can be explained without referring to country-specic growth factors. The estimates also conrm that cross-country analyses of economic growth should take reconstruction eects into account, at least for the fties. Pure reconstruction was probably responsible only for a small part of the economic success of those countries, since pre-war productivity levels were achieved already at the beginning of the fties. However, the technological development had not stopped during the war. War-time investment (both physical and R&D) had increased the technological potential and resulted in a steady state level of output and productivity well above the pre-war level. In Germany, for instance, annual war-time investments in the investment goods industry were more than twice the value of 1936/37 (Krengel, 1958), Germany and Japan exhibited a lower productivity level 1950 as compared with 1938 (Maddison, 1991) and exhibited large output growth until 1943/1944. Physical capital was partly destroyed by the war, but the damaged countries were still endowed with a well educated work force and a high level of scientic knowledge. The low level of production after the war and the help from the Marshall Plan had opened the opportunity for the high growth during the early reconstruction phase. These growth dynamics, in turn, had created an economic atmosphere with demand increases and high physical investment, and endowed those countries with a highly productive capital stock. Growing markets, complementarities of physical and R&D investments, and increasing international competition had enhanced the opportunities and incentives for the implementation of new production technologies and the introduction of better products. In addition, the breakdown of international trade during the war had enhanced the eÆciency gains from rising import and export shares after the war. For instance, the volume of exports in Germany, Austria, Italy and Japan was below pre-war levels in 1950 and more than tripled until 1960 (Maddison, 1991). Growing international markets led to the realization of gains from specialization and scale economies also for the smaller countries, and technology spillovers from abroad enhanced technological opportunities. This development was further promoted by the advancement of international economic institutions which enhanced trade and competition. For instance, the regulations of the GATT had promoted trade and foreign competition through the abolition of trade barriers and the Bretton Woods exchange rate system promoted international cooperation and direct investment by guarantying a stable currency for the 27 Neither the population growth rate nor an indicator of human capital add to the explanatory power of the estimated equation. 18 Table 4: Labour productivity growth since the sixties average labour productivity growth sample constant 1961{1973 1961{88 (1) (2) (3) (4) (5) (6) 0.014 0.018 0.012 0.010 0.010 0.010 ( 4.1) ( 3.9) ( 3.4) ( 5.5) ( 3.8) ( 4.7) labour productivity gap -0.039 -0.032 -0.035 -0.026 -0.025 -0.025 vs. the United States 1960 ( -7.9) (-4.4) ( -6.2) ( -9.6) (-6.0) (-7.7) war-time gap -0.009 -0.000 (-1.3) (-0.0) 1946 vs. 1938 reconstruction growth 0.055 0.007 ( 1.2) ( 0.3) 1947-1950 SEE 0.007 0.007 0.007 0.004 0.004 0.004 2 R 0.805 0.813 0.811 0.858 0.847 0.848 Cross-section estimates, 16 observations. t-values in parantheses. damaged industrial countries.28 Finally, the industrialized countries were endowed with a well educated labour force and quickly rebuild competitive economic systems and stable monetary institutions in the early post-war period which promoted domestic competition and investment (social capability for catching up). In this sense, the reconstruction eects are not dierent from the sources of economic growth as emphasized by growth theory, but the period of the fties provided many opportunities for growth especially for those countries that were mostly damaged during the war. It might even be argued that reconstruction eects remained important also after 1960. For instance, Dowrick and Nguyen (1989) conclude that \. . . a large part of the success of Japan, Germany, Austria and France up until 1973 is not explained by our analysis. We can only speculate that postwar reconstruction may have played some part of their success." (p. 1025). The productivity growth performance of Japan 1960-1988 was outstanding, and Italy and Austria also exhibited high growth rates of labour productivity. The respective gures for Germany are more or less within the average of the other countries, but Germany exhibited high growth already during the early reconstruction phase and in the fties. An econometric analysis of reconstruction eects on productivity growth since 1960 within the framework here revealed positive but only weakly signicant eects (see table 4). 28 See Eichengreen (1995a). 19 6 Conclusions In this paper, it is shown that the high growth rates of output and labour productivity in many European countries and in Japan after the war are no miracle but can be consistently explained with neoclassical capital deepening combined with growth models which place their emphasis on the stock of knowledge, knowledge spillovers and technological diusion as the source of economic growth. The extent of war-time destruction can explain more than 80 percent of the dierences of reconstruction growth in the early reconstruction phase. The productivity gap with respect to the United States together with the extent of war-time destruction and the growth dynamics in the early reconstruction phase can explain about 90 percent of the dierences of productivity growth rates in the fties. Reconstruction eects remained important after the prewar level of output was achieved. Catching-up reects more than neoclassical capital deepening. It is also shown that cross-country analyses of productivity convergence and the growth process in the post-war period should take reconstruction effects into account. Reconstruction eects are as important for the explanation of productivity catching-up as the productivity distance with respect to the United States and more important than capital deepening for the fties. These reconstruction eects increased the speed of convergence. Probably, those reconstruction eects lasted even longer into the sixties for some of the countries, especially Japan. They can explain the successful growth performance in many European countries and in Japan in the fties which often appear as outliers in aggregate analyses of productivity convergence. Reconstruction growth can be understood as a catching-up with respect to the past. The results nally indicate that corresponding growth miracles in the East Euopean countries after the opening of the Iron Curtain should not be expected. The East European countries do not exhibit a comparable history of high output and productivity levels, but rather inherited the burden of mis-allocation and dis-incentives from the past.29 In addition, the process of catching-up with respect to best practice technology takes place at a much slower pace as compared with the fast catching-up with respect to the past during post-war reconstruction. It took 5 years to achieve a doubling of output in the early reconstruction phase until 1950. 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