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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 e�ects into ac-

count. The enormous growth rates in many European countries and in Japan

in the �fties which often appear as outliers in aggregate analyses of productiv-

ity 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 di�u-

sion as the source of economic growth can explain the fast reconstruction after

the war, without referring to country-speci�c 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 Economic growth in Germany and the United States . . . . . . . 4

2 Catching-up with respect to the United States . . . . . . . . . . 5

3 Reconstruction growth 1947-1950 . . . . . . . . . . . . . . . . . . 8

4 Annual reconstruction growth . . . . . . . . . . . . . . . . . . . . 9

5 Labour productivity growth in the �fties . . . . . . . . . . . . . . 15

List of Tables

1 Reconstruction growth 1947-1950 . . . . . . . . . . . . . . . . . . 10

2 Labour productivity convergence 1950-1988 . . . . . . . . . . . . 14

3 Labour productivity growth in the �fties . . . . . . . . . . . . . . 17

4 Labour productivity growth since the sixties . . . . . . . . . . . . 19

1 Introduction

The recent development of endogenous growth theory has renewed the inter-

est into the determinants of productivity growth in the industrialized countries

after World War II. The most outstanding stylized facts of the economic de-

velopment 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 re-

construction. 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 devi-

ation 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

di�erences in the early post-war period 1947-1950 correspond closely to the

gap between actual production and the technological potential of those coun-

tries, i.e. those countries which were mostly damaged by the war grew fastest

afterwards.

Most of the di�erences of productivity growth in the industrial countries

since the �fties can be explained consistently with growth models relying on

knowledge spillovers, technological di�usion and convergence towards \best

practice" technology.2 However, the empirical analysis in this paper also re-

veals that aggregate cross-country analyses of the growth process should take

reconstruction e�ects into account. It is shown that those countries which grew

fastest during the period 1950-1988 are again those which were mostly dam-

aged during the war and which grew fastests during the early reconstruction

phase 1947-1950. Especially in the �fties, the high growth rates of Japan, Ger-

many, 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 techno-

logical development had not stopped during the war, and the enormous growth

in the early reconstruction phase had created an economic atmosphere with de-

mand 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 di�usion, should be augmented with speci�c arguments which

1For overviews of this discussion, see Dumke (1990), Eichengreen (1995a) and Lindlar

(1997).2See 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 reconstruc-

tion. 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 di�usion and more important than capital deepening. Sec-

ondly, 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 In-

ternational 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-speci�c

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 inter-

national di�usion of technological knowledge. The United States exhibited a

rather low productivity growth rate since the �fties, and the European coun-

tries could achieve higher growth 1950-1980 because their initial productivity

level was lower. This catching-up is based on capital deepening and technolog-

ical di�usion. 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

3See also Hennings (1982), Dumke (1990) and Crafts and Toniolo (1996).4For 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 a�ected by the war, but exhibited lower growth rates during the war-

time 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. How-

ever, growth rates slowed down since the seventies, and the United States who

\. . . was the world's most productive economy by virtually any measure" (Nel-

son 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 in-

dustrialized 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 catching-

up is that the reasons for the technological leadership of the United States

had eroded.7 The increasing international cooperation through trade and for-

eign direct investment opened the opportunity for the followers to catch up.

5The base year (index=100) is 1913. Crafts and Mills (1996) report unit root tests from

the long-run data.6German production grew from 1946 onward, but the foundations for the economic develop-

ment 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).7See 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

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).

US

Ger

Jap

5

The waning of opportunities then o�ers 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 neoclas-

sical 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 di�usion of technol-

ogy through knowledge spillovers and vanishing di�erences of total factor pro-

ductivity 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 techno-

logical 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 e�ects into account. Reconstruction e�ects are �rstly

explained within the neoclassical growth framework. The destruction of pro-

ductive 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. How-

ever, 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 e�ects

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 di�erent 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

8See Solow (1956), Denison (1967), Maddison (1987) and Barro (1991).9See e.g. Dowrick and Nguyen (1989), Grossman and Helpman (1991) and Coe and Help-

man (1995).10Overviews of the literature are given by the collections of Boltho (1982), Eichengreen

(1995), van Ark and Crafts (1996) and Crafts and Toniolo (1996).11See 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.

6

United States, in contrast, exhibited strong GDP growth during the war-time

period 1939-1945. Australia and Canada were hardly a�ected 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 af-

fected 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 di�erences 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 di�erences 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 con�rm 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).

12Reconstruction growth is de�ned as the average growth rate of real GDP 1947-1950, and

the war-time gap is de�ned 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 di�erent time period.

7

Figure 3: Reconstruction growth 1947-1950

Reconstruction growth: Growth rate of real GDP.

War-time gap: Logarithm of relative real GDP. Source: Maddison (1991).

Germany

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 1947-

1950. 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 signi�cantly to the explanation of reconstruction growth (version 2-

4).13 That means that productivity spillovers from abroad and country-speci�c

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 signi�cant and hardly changed the coeÆcient

of the war-time gap.

In the panel below, some estimates with the pooled annual data are re-

ported. 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 a�ects

13The 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) (2) (3) (4) mean std

constant 0.069(14.9)

0.065(3.8)

0.079(6.4)

0.070(4.0)

war-time gap -0.110(-8.2)

-0.109(-7.4)

-0.118(-6.8)

-0.119(-6.8)

-0.006 0.361946 vs. 1938

average output growth 0.138(0.2)

0.506(0.7)

0.027 0.011920-1938

labour productivity gap 0.015(0.8)

0.023(1.1)

-0.633 0.34vs. the United States 1938

SEE 0.018 0.019 0.019 0.019

R2

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

(5) (6) (7) mean std

constant 0.083(17.1)

0.096(9.9)

0.085(3.1)

war-time gap -0.127(-8.3)

-0.133(-8.4)

-0.124(-2.9)

0.102 0.30t-1 vs. 1938

SEE 0.037 0.036 0.034

R2

0.517 0.520 0.588

dummies no time country

Pooled annual data, 64 observations. Standard deviation of annual data: 0.053

Reference country: United States. Reference period: 1950

Annual output growth

1945/46 1946/47 1947/48 1948/49 1949/50

constant 0.047(0.9)

0.073(5.9)

0.087(10.3)

0.084(9.0)

0.083(9.7)

war-time gap -0.310(-2.4)

-0.119(-3.3)

-0.163(-6.1)

-0.161(-5.2)

-0.071(-2.5)t-1 vs. 1938

SEE 0.212 0.049 0.033 0.032 0.025

R2

0.243 0.402 0.707 0.632 0.256

growth rate

mean 0.071 0.073 0.076 0.060 0.069

std. 0.244 0.064 0.061 0.053 0.029

war-time gap

mean -0.077 -0.006 0.067 0.143 0.204

std. 0.425 0.358 0.319 0.269 0.228

Cross section estimates, 16 observations. t-values in parantheses.

10

the estimates (version 6); introducing country dummies for each country does

not change the adjustment coeÆcient and increases the R2only 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 signi�cant in 1948 and 1949. In 1946, the di�erences 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-speci�c growth

factors, but rather can be seen as the general development after the breakdown

during the war.14 Most of the di�erences 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 tech-

nological 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 ob-

servers in the early post-war period. For instance, Krengel's (1958) esti-

mates 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 invest-

ments 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.

14For instance, Hennings (1982) discusses the importance of the in ow of quali�ed workers

from the eastern area and institutional changes such as the monetary reform for reconstruction

in Germany. See also Wolf (1995).15See 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 catching-

up.

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 impor-

tant, 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, pre-

war 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 di�usion, in contrast, focus on knowledge spillovers

between �rms and scale economies at the aggregate level to explain productiv-

16See e.g. Denison (1967), Maddison (1987), Barro (1991), Barro and Sala-i-Martin

(1992,1995) and Mankiw, Romer and Weil (1992).17See 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 Eu-

rope, 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 Eu-

ropean 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 re-

ported. They �rstly con�rm the importance of catching-up for productivity

growth. The productivity gap with respect to the United States in 1950 ex-

plains more than 90 percent of the variance of productivity growth rates 1951-

1988 (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 com-

pared with the very fast adjustment of output to pre-war levels during the

early reconstruction phase.20

These results con�rm that productivity catching-up with respect to the

United States should be an important ingredient of the explanation of produc-

tivity 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 dur-

ing 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

18See 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).19The 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. 423-25.20Results 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).21For 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 1951{1988 1951{1973

(1) (2) (3) (4) (5) (6)

constant 0.012( 8.6)

0.012( 7.6)

0.012( 5.2)

0.015( 6.7)

0.013( 6.1)

0.019( 5.8)

labour productivity gap -0.021(-14.3)

-0.021(-10.2)

-0.021(-7.4)

-0.029(-12.2)

-0.025(-8.9)

-0.023(-5.7)vs. the United States 1950

reconstruction growth 0.015( 0.6)

0.067( 2.0)1947-1950

war-time gap -0.001(-0.1)

-0.010(-1.7)1946 vs. 1938

SEE 0.003 0.003 0.003 0.005 0.004 0.004

R2

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

e�ects 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 signi�-

cant for the longer time period, but the results for the years 1950-1973 indicate

some importance of reconstruction e�ects 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, Ger-

many, 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 explana-

tion of productivity catching-up in terms of knowledge spillovers, technological

di�usion and catching-up with respect to the United States. Those growth rates

correspond largely to the respective productivity gap of those countries.

22See 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. Correspond-

ingly, 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 e�ects remain signi�cant 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 signi�cant and quantitatively large e�ect on productivity growth in

the �fties. The estimates imply that

{ the catching-up with respect to the United States explains about 4 per-

centage 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 e�ects 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 e�ects.

23Due 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.24That 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

(1) (2) (3) (4) (5) (6) (7)

constant 0.015( 4.2)

0.039(20.3)

0.016( 3.5)

0.025( 5.3)

0.011( 4.1)

-0.014(-0.8)

-0.022(-1.5)

labour productivity gap -0.031(-8.1)

-0.018(-3.1)

-0.022(-6.4)

-0.018(-3.5)

-0.021(-7.0)vs. the United States 1950

war-time gap -0.042(-7.7)

-0.022(-2.7)

-0.018(-2.5)1946 vs. 1938

reconstruction 0.325( 5.6)

0.162( 4.1)

0.138( 3.8)growth 1947-1950

country size 0.003( 1.8)

0.002( 2.1)

investment share 0.071( 2.3)

0.055( 2.1)

SEE 0.007 0.008 0.010 0.006 0.005 0.005 0.004

R2

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 catching-

up. 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 re-

construction growth rate for the damaged countries. The results indicate that

capital deepening captures a part of the reconstruction e�ect, the coeÆcients

of the reconstruction variables became smaller. However, the reconstruction

e�ects remain signi�cant, and the productivity catching-up with respect to the

United States even gains signi�cance by the inclusion of the investment share.

This con�rms that catching-up re ects more than neoclassical capital deepen-

ing. Note that versions (6) and (7) can be interpreted as tests for conditional

convergence within a neoclassical growth model. The implied annual rate of

25The estimated coeÆcient (t-value) of a dummy variable for Japan in speci�cation (5) is

-0.002 (-0.3) and -0.003 (-0.42) in version (7).26The 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, technologi-

cal di�usion and the stock of knowledge can explain the fast pace of reconstruc-

tion 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-speci�c growth factors. The esti-

mates also con�rm that cross-country analyses of economic growth should take

reconstruction e�ects 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 scienti�c 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 recon-

struction 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, com-

plementarities of physical and R&D investments, and increasing international

competition had enhanced the opportunities and incentives for the implemen-

tation of new production technologies and the introduction of better products.

In addition, the breakdown of international trade during the war had en-

hanced 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 specializa-

tion and scale economies also for the smaller countries, and technology spillovers

from abroad enhanced technological opportunities. This development was fur-

ther 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

27Neither the population growth rate nor an indicator of human capital add to the explana-

tory power of the estimated equation.

18

Table 4: Labour productivity growth since the sixties

average labour productivity growth

sample 1961{1973 1961{88

(1) (2) (3) (4) (5) (6)

constant 0.014( 4.1)

0.018( 3.9)

0.012( 3.4)

0.010( 5.5)

0.010( 3.8)

0.010( 4.7)

labour productivity gap -0.039( -7.9)

-0.032(-4.4)

-0.035( -6.2)

-0.026( -9.6)

-0.025(-6.0)

-0.025(-7.7)vs. the United States 1960

war-time gap -0.009(-1.3)

-0.000(-0.0)1946 vs. 1938

reconstruction growth 0.055( 1.2)

0.007( 0.3)1947-1950

SEE 0.007 0.007 0.007 0.004 0.004 0.004

R2

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 mon-

etary institutions in the early post-war period which promoted domestic com-

petition and investment (social capability for catching up). In this sense, the

reconstruction e�ects are not di�erent from the sources of economic growth as

emphasized by growth theory, but the period of the �fties provided many op-

portunities for growth especially for those countries that were mostly damaged

during the war.

It might even be argued that reconstruction e�ects 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 reconstruc-

tion 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 e�ects on produc-

tivity growth since 1960 within the framework here revealed positive but only

weakly signi�cant e�ects (see table 4).

28See 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 knowl-

edge, knowledge spillovers and technological di�usion as the source of economic

growth. The extent of war-time destruction can explain more than 80 percent of

the di�erences 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 di�erences of productivity growth

rates in the �fties. Reconstruction e�ects remained important after the pre-

war level of output was achieved. Catching-up re ects 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 ef-

fects into account. Reconstruction e�ects 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 e�ects increased the speed of convergence. Probably, those re-

construction e�ects 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 out-

put 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. It took 10 year to achieve a doubling of labour

productivity in the �fties, as both reconstruction e�ects and catching-up with

respect to best practice technology contributed to the high growth. It took

20 years to increase the relative productivity of the industrialized countries as

compared with the United States from 55 percent in 1960 to 75 percent in 1980.

29For a more detailed discussion, see Eichengreen and Uzan (1992).

20

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