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    Symposium Paper 

    Total Factor Productivity Growth,Structural Change and Convergence in the

    New Members of the European Union

    EL-HADJ M BAH1 & JOSEF C BRADA2,3

    1Department of Economics, University of Auckland, Private Bag 92019 Auckland,

    New Zealand.2Department of Economics, Arizona State University, Box 873806, Tempe, AZ,852870-3806, USA.

    3Macedonian Academy of Sciences and Arts, Bul. Krste Misirkov 2, 1000 Skopje,Republic of Macedonia.

    We estimate total factor productivity (TFP) growth in agriculture, industry and

    services in new European Union member countries and show how structural change

    contributes to growth. Because of the difficulties in measuring the capital stock of transition economies, we develop a model that estimates sectoral TFPs from data on

    sectoral employment and GDP  per capita. Compared to Austria, new EU members have

    lower TFP levels, but their TFP growth is largely higher. Inter-sectoral movements of 

    labour do not play a large role in aggregate TFP growth, and capital accumulation is

    an important component of convergence to EU levels of  per capita GDP.

    Comparative Economic Studies  (2009)  51,   421–446. doi:10.1057/ces.2009.8;

    published online 4 June 2009

    Keywords:   European Union, total factor productivity, structural change,

    economic convergence, economic growth, capital accumulation, productivity

     JEL Classifications: D24, E22, O11, O14, O41, O47

    INTRODUCTION

    A key task for the transition economies that have recently joined theEuropean Union (EU) is real convergence, the catching up with the  per capita

    i l l f h ld d d l d b l h h

    Comparative Economic Studies, 2009, 51,  (421–446)r 2009 ACES. All rights reserved. 0888-7233/09

    www.palgrave-journals.com/ces/

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    in physical and human capital (Blanchard, 1997, Buiter, 2000), the growth

    accounting literature suggests that these are not likely to be the decisive

    forces leading to convergence. This literature, from Solow (1957) to Prescott(1998) and Hall and Jones (1999), stresses that economic growth as well as

    inter-county differences in  per capita  income are largely because of changes,

    or differences, in total factor productivity, with the accumulation of physical

    and human capital playing only a subsidiary role.1 The EU’s own experts

    (European Union, 2006, p. 35) project that the new member countries’   per 

    capita incomes will grow at about 4% per annum while those of the older and

    richer members will grow at 2%, leading to a convergence of   per capita

    incomes in 2040. Moreover, the same estimates assume that over 50% of the

    growth in per capita incomes in both old and new members will be the result

    of total factor productivity growth rather than of factor accumulation,

    although, of course, total factor productivity (TFP) growth in the new member

    countries would thus be about twice as fast as in the old member countries.

    The ability of the new EU members to generate and sustain significant

    gains in TFP should not be taken for granted. The USSR and the countries of 

    East Europe saw gains in TFP came to a virtual halt in the early 1980s, if not

    before then, a situation unprecedented among countries at such a level of 

    development. The first to note the slowdown in TFP growth in the USSR wasKaplan (1968) who showed that, for any plausible parameter values of a

    Cobb-Douglas production function, Soviet TFP growth was falling towards

    zero.2 The results of similar research for East Europe by researchers in both

    the West and in the communist countries themselves came to more or less

    that same conclusion, namely that, by the start of the 1980s, the only sources

    1 For example, Hall and Jones deconstruct the ‘the 35-fold difference in output per worker

    between the United States and Niger. Different capital intensities in the two countries contributed a

    factor of 1.5 to the income differences, while different levels of educational attainment contributed afactor of 3.1. The remaining difference – a factor of 7.7 – remains as the productivity residual’ (Hall

    and Jones, 1999, p. 83). Prescott (1998) reaches a similar conclusion without assuming a specific

    form of the production function. See also, Klenow and Rodriguez-Clare (1997), Hendricks (2002),

    Parente and Prescott (1994,2000) and Caselli (2005).2 The literature on the decline in Soviet productivity growth took a unique direction because of 

    Weitzman (1970), who attributed the output slowdown to a low elasticity of substitution between

    capital and labour, a finding that, of course, improved estimated TFP growth given the slow growth

    of the labour force and the rapid growth of the capital stock in the communist countries. Easterly

    and Fisher (1995) continued this insistence on the low elasticity of substitution explanation for

    Soviet growth retardation, but, in the face of the critique of their empirical work by Beare (2008),

    they were forced to accept the conclusion that ‘the rate of technical progress declined over thecourse of the history of the former Soviet Union’ (Easterly and Fisher, 2008, p. 147). Efforts to find

    similarly low elasticities of substitution between capital and labour in East Europe during the

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    of growth in East Europe were increases in capital and hours worked, with

    TFP growth non-existent or negative.3 It is possible that the forces that

    retarded TFP growth so severely during the late communist era have not beenentirely eliminated by the process of transition. If the sources of TFP growth

    cannot be greatly influenced by short-term changes in policies, institutions or

    economic systems, then the transition economies would be consigned to

    being second-class members of the EU for a long time.4

    Alternatively, if TFP does respond quickly to changes in policies,

    institutions and economic system, then the recent upsurge in TFP growth in

    the new EU members’ countries could be because of temporary factors, whose

    effects will soon wear off, a scenario developed in some detail by Van Ark

    (1999). Hall and Jones (1999) attribute high TFP levels to better institutions,

    but the new EU members have already undertaken many of the reforms needed

    to create functioning market economies and to meet the institutional and legal

    standards of EU membership. Thus, while some institutional improvements

    may still be possible, their pace, and thus that of TFP growth, may be much

    slower than it was in the past decade. In contrast to Hall and Jones, Frankel and

    Romer (1999) stress the role of openness to trade as the driver of TFP, but the

    new EU member countries have already undertaken as much opening up to

    international trade and investment as is likely to be feasible and further rapidgrowth of trade to GDP ratios does not seem likely.

    Finally, the transition economies, including the new EU members, may

    have been the beneficiaries of what we may call temporary Prescott–Granick

    effects that led to rapid, but short-lived, gains in TFP. Prescott (1998) and

    Parente and Prescott (2000) argue that TFP growth and levels are inversely

    related to the ability of incumbent workers to prevent the adoption new

    technologies, work rules and ways of organising production in order to

    protect the rents that they can earn using older technologies or ways of 

    organising their work. In the case of the transition economies, the pattern of TFP growth can thus be understood in terms of David Granick’s (1989)

    description of the Soviet economy as a ‘job-rights economy’ in which workers

    had an explicit right to a particular job at a particular location. At the start of 

    the Soviet experiment, unskilled workers were brought into factories from

    3 See Brada (1989) for estimates of TFP and Ofer (1987) for a survey of the literature on this

    topic.4 The literature on the causes of TFP differentials is quite unsettled in this respect. Some

    authors, including Prescott (1998), take the view that a country’s TFP levels are subject to ratherrapid change because of institutional and policy changes, while others, such as Hall and Jones

    (1999) and Frankel and Romer (1999) suggest that rather immutable factors such a legal origins,

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    agriculture; they had no rents to preserve and no understanding of their job

    rights. As workers gained tenure at their places of work, they were also

    increasingly able to earn rents from operating the existing technology, andthey thus had both the ability and the incentives to block the efficient

    introduction of new technologies and ways of working. As a result, new

    technology and ways of fully exploiting its productivity-enhancing character-

    istics could only be introduced into newly built and staffed factories but not

    into existing ones, thereby sharply reducing TFP growth.

    In the course of the transition, these job rights disappeared because open

    unemployment reduced workers’ bargaining power and because socialist-era

    laws providing these job rights were swept away, and the rents earned by the

    old industrial elite of the work force disappeared. Thus, in the Prescott–

    Grancik view, the current accelerated pace of TFP growth in the new EU

    member countries will continue only so long as workers continue to be

    unorganised and unable to exert pressure to slow changes in work rules and

    the fully effective introduction of new technologies. Because the work-place

    inflexibilities that the Prescott–Granick view considers important barriers to

    TFP growth are alleged to be the cause of slow productivity growth in the

    older EU member countries, fears that they will also spread to the new

    members are not unfounded. Consequently, the future pace of TFP growth inthe new EU member countries is both uncertain and of great importance to

    their future well being.

    A second and related aspect of real convergence is structural conver-

    gence. The communist regimes in East Europe had followed a development

    strategy that favoured industry and agriculture at the expense of services.

    Thus, these countries entered the transition, and EU membership, with

    employment shares in industry and agriculture that were much larger than

    those found in market economies at similar levels of development and with

    service sectors that had much lower shares of employment than were to befound in comparable market economies (Gregory, 1970; Ofer, 1976). These

    disparities in employment carried over to the shares of these sectors in

    aggregate output as well. As these economies turned to the market to allocate

    resources, the service sector expanded dramatically while agriculture and

    industry lost employment share (European Union, 2006), although all of 

    these economies continue to exhibit higher labour shares in agriculture and

    industry and lower shares in services than are to be found in the older EU

    member counties. Whether this structural difference is a legacy of communist

    policies or whether it simply reflects the fact that structural change in favourof services at the expense of agriculture and industry occurs with rising  per 

    l ll k l h

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    to be seen whether this faster and ongoing shift of resources between sectors

    is an important contributor to, or retardant of, aggregate TFP growth.5

    In principle, it should be possible to undertake growth accountingexercises for the transition economies at the sectoral level, thus measuring

    TFP levels and their evolution over time, but in reality we face a fundamental

    problem in estimating the stock of capital. The transition from socialism to

    capitalism effectively destroyed a large, but unknown, part of the capital

    stock. Part of the destruction was physical; factories were abandoned and

    equipment was scrapped or thrown away. Another part of the destruction was

    what might be called ‘moral’, meaning that the huge changes in the structure

    of demand and the wholesale acquisition of new and more productive

    technologies from the West that occurred in the course of transition devalued,

    or accelerated the depreciation of, much of the communist-era capital stock

    (Campos and Coricelli, 2002). Studies of this phenomenon have produced

    estimates of surprisingly large declines in Russian and East European capital

    stock over the course of the transition. For example, Deliktas and Balcilar

    (2005) estimate that up to 50% of the communist-era capital stock was

    destroyed in the early transition.6 The various estimates of the excess

    destruction of capital stock differ in their magnitude as well as in the

    methodologies utilised to estimate the losses and in the assumptions drivingthe estimates. Moreover, given the logic of the argument for the destruction of 

    capital, the amount destroyed in each country should depend, inter alia, on

    the communist-era openness of the country, on its industrial structure, and on

    the degree of its integration into the CMEA or Soviet economy.7

    5 Stephan (2002) investigates the extent to which structural differences between the old and

    new EU members lead to differences in   per capita   incomes, but his analysis focuses on labour

    productivity differences rather than on differences in TFP.6

    See McKinsey Report (1999), Kushnirsky (2001) and Darvas and Simon (2000) for other, butsimilar, estimates. Izumov and Vahaly (2006, 2008) provide a survey of the issues and the literature

    on the transition-era capital stock as well as a methodologically consistent set of estimates of the

    ‘adjusted’ capital stocks of the Russian and former CIS economies. While we do not examine these

    economies in our paper, the gaps between official and adjusted estimates of the capital stock and

    their implications for TFP estimates shown by these studies are instructive.7 A referee suggested that there was also destruction of communist-era human capital and that

    the value of East European human capital as measured by years of schooling may have been

    overstated. Thus, for example, Steffen and Stephan (2008) attribute much of the productivity

    differential between East and West to a human capital deficit, and Földvári and Van Leeuwen (2009)

    claim that human capital accumulation had a positive effect on Hungarian GDP growth in the 1990s.

    Nevertheless, we refer the reader to the sources cited in Footnote 1 for compelling arguments whyhuman capital accumulation is not likely to be a key driver of TFP growth. In this paper, we ignore

    any explicit accounting for human capital, and, in our results, inter-country differences in human

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    Needless to say, wide divergences in these unofficial estimates of the

    capital stock lead to wide divergences in estimates of TFP growth and levels

    in the course of transition (Burda and Severgnini, 2008a). Absent plausibleofficial estimates of sectoral and even aggregate capital stocks and the wide

    divergence in the unofficial estimates, as well as the lack of sectoral capital

    stock data, we propose to measure sectoral TFPs without recourse to capital

    stock data.8 Effectively, our approach substitutes readily available data on

    sectoral employment and aggregate GDP, the constraints on the interrelations

    between macroeconomic variables derived from a widely used model of 

    economic growth and structural change, and model parameters obtained

    through calibration for generally unreliable or unavailable data on sectoral

    capital stocks in the transition economies. This substitution of easily

    obtainable data and a model and parameters that have proven their value

    in other applications seems to us to be a useful way to approach the questions

    that lie at the heart of this paper. A similar data limitation for developing

    countries has led researchers to develop indirect methods for estimating

    sectoral TFPs by making use of cross-section prices in a multi-sector growth

    model similar to the one we use to infer sectoral relative TFPs.9 In this paper

    we use a three-sector model developed by Bah (2008) to infer sectoral TFP

    time series for the new EU members. This kind of model also has been usedby Rogerson (2008) to analyse labour market outcomes in Europe.10

    The rest of the paper is organised as follows. Section ‘A three-sector

    model of structural transformation’ describes the model, characterises the

    competitive equilibrium and calibrates the model to the US economy. Section

    ‘Estimates of sectoral TFP in Austria and transition economics’ applies the

    model to Austria and to a sample of transition countries to demonstrate

    differences in sectoral TFP levels and their change relative to Austria, an EU

    member with a  per capita  output close to the (old member) EU average and

    with some similarities in size and location to a number of the transitioneconomies. With a few exceptions, in all sectors Austrian TFP exceeds that of 

    years of schooling in 2000, while Poland, for example, had 12.0 years in 2001, and the Czech

    Republic 10.4 in 2001.8 Using a different methodology, Burda and Severgnini (2008b). also choose to estimate

    aggregate TFP in the transition economies without recourse to official capital stock data. They show

    that attempting to construct capital stock data using perpetual inventory methods leads to highly

    unreliable estimates of both stocks and TFP.9

    See Herrendorf and Valentinyi (2006) and Hsieh and Klenow (2007).10The decomposition of the economy into three sectors, agriculture, services and industry, and

    the emphasis on the growth effects of reallocating labor and capital among these sectors also links

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    the new member countries, but there are important sectoral differences in

    TFP between the new EU member countries and Austria. Moreover, not all

    members’ TFPs are progressing in all sectors in a way that promotes catch-upwith Austrian per capita income. Although structural change does not appear

    to be a serious barrier to growth in the new EU member countries, some

    of them are found to rely heavily on input growth rather than TFP

    improvements for their GDP growth. The last section draws out some policy

    implications of our findings.

    A THREE-SECTOR MODEL OF STRUCTURAL TRANSFORMATION

    Below, we present a model developed by Bah (2008). The model is a closed

    economy growth model with three sectors: agriculture, industry and services.

    The key features that drive labour reallocation across sectors are as follows.

    First, preferences are non-homothetic. As income rises, the household shifts

    its demand from agricultural goods to industrial goods and services. Because

    the household produces just enough of the agricultural good for subsistence,

    resources are shifted away from that sector as its productivity rises. Second,

    the elasticity of substitution between manufacturing and services and the TFPgrowth differential determine labour reallocation between those two sectors.

    The model thus generates a process of structural transformation that was first

    described by Kuznets (1966).

    The model

     Preferences and endowments

    There is a representative household who lives forever, and we normalise its

    size to 1 for simplicity. In each period the household is endowed with one

    unit of time, and it is also endowed with initial capital stock at time 0 and the

    total land for the economy which we normalise to 1.

    The household supplies labour inelastically to the three sectors. The

    instantaneous utility is given by:

    U ðFt ;  At Þ ¼  At    if At o  A

    logðFt Þ þ   A if At      A

      ð1Þ

    where   At   is the agricultural good and  Ft   is a composite consumption good

    defined as a CES aggregate of the industrial good ( M t ) and the services (St ).

    e

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    Lifetime utility is given by:

    X1

    t ¼0

    bt U ðFt ; At Þ ð3Þ

    where  b  is the discount factor.

    This specification of preferences implies that the economy specialises in

    agriculture until the subsistence level   Ā   is reached. Moreover, the economy

    will never produce more of the agricultural good than  Ā .

    Technologies

    All three sectors use Cobb-Douglas production functions. The inputs foragriculture are labour ( N ) and land ( L) while industry and services use labour

    and capital. The agricultural good is only used for consumption so the

    resource constraint is given by:

     At  ¼  Aat  N aat  L

    1at    ð4Þ

    where

     Aat  ¼  Aað1 þ gat Þt  ð5Þ

    The TFP parameters  Aa, gat  are assumed to be country specific.11

    The industrial sector’s output is used for consumption ( M t ) in the

    composite good and investment ( X t ). The industry sector resource constraint is:

     M t  þ X t  ¼  Amt  K ymt  N 

    1ymt    ð6Þ

    where

     Amt  ¼  Amð1 þ gmt Þt  ð7Þ

    The law of motion of the aggregate capital stock ( K t ) in the economy is

    given by

     K t þ1  ¼ ð1 dÞ K t  þ X t    ð8Þ

    where  d  is the depreciation rate.

    11 Because of the way in which   Aat    is calculated, the beginning and starting values of 

    agriculture’s share of employment predicted by the model are by construction the same as the actual

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    The output of the service sector is only used for consumption through the

    composite good. Therefore, the service sector resource constraint is given by

    St  ¼  Ast  K yst  N 

    1yst    ð9Þ

    where

     Ast  ¼  Asð1 þ gst Þt  ð10Þ

    In the equations above, the TFP parameters ( Am, gmt , As and  gst ) are also

    assumed to be country specific. We may expect that a country’s institutions

    and policies affect the productivity in each of these economic sectors.

    Equilibrium

    Given that there are no distortions in this economy, the competitive equilibrium

    allocations can be obtained by solving a social planner’s problem. The economy

    specialises in the production of agriculture as long as   Aað1 þ gaÞt o  A. Once

     Aað1 þ gat Þt     A, the economy begins the production of industrial goods and

    services. This corresponds to the start of structural transformation, and we will

    solve for the competitive equilibrium from this point on.

    We sketch the solution of the model and refer the reader to Bah (2008) for

    the details. Below, we present the key equations that determine theequilibrium allocations from the social planner’s problem.

    Labour in agriculture is given by:

     N at  ¼ A

     Aat 

    1a

    ð11Þ

    Let   N t ¼ 1 N at    be the total time that can be allocated between the

    industry and service sectors. The aggregate capital stock is given by the

    following dynamic equation:

     K t þ1  ¼ Amt  K t 

     N t 

    y N t  þ ð1 dÞ K t  b   1 d þ y Amt 

     K t 

     N t 

    y1" #

     Amt 1 K t 1

     N t 1

    y N t 1 þ ð1 dÞ K t 1  K t 

    " #   ð12Þ

    Once capital is known, the quantity of labour used in the service sector is

    given by:

     N st  ¼  C t  y 1e   ð13Þ

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    where  C t   is the non-agriculture aggregate expenditure and is given by

    C t  ¼  Amt  K t 

     N t 

    y N t  þ ð1 dÞ K t   K t þ1   ð14Þ

    The other equilibrium allocations can be easily derived.

    Calibration to the US Economy

    The model is calibrated to match the US economy from 1950 to 2000.12 There

    are 13 parameters to calibrate. The productivity levels   Ai(i¼a,m, s)   arenormalised to 1 in 1950. This corresponds to choosing units. Following the

    literature, labour’s share in agriculture (a) is set to 0.7 and capital’s share in

    industry and services (y) is set to 0.3.

    The TFP growth rates for industry and services (gm, gs)the discount rate b

    and  d  are jointly calibrated to match four averages in the data from 1950 to

    2000: average growth rate of GDP  per capita, average growth rate of the price

    of the service good relative to the industrial good, average investment-to-

    output ratio and average capital-to-output ratio.

    The growth rate of agricultural TFP (gat ) is chosen such that the modelmatches the agricultural shares of hours worked in the United States. We

    assume that the growth rate varies each decade starting in 1950. The

    agricultural subsistence level is equal to the agricultural production in every

    period after the start of structural transformation. Given that the agricultural

    TFP is normalised to 1 in 1950, the subsistence level can be easily computed

    using the shares of hours in agriculture. The last two parameters to calibrate

    are the elasticity of substitution between the industrial good and services (e)

    and the weight of the industrial good in the production of the composite good

    (l). These two parameters determine the labour reallocation between theindustrial and service sectors. We choose values of   e  and  l   to minimise the

    quadratic norm of the difference between the predicted and actual industrial

    employment shares from 1950 to 2000. Table 1 summarises the calibrated

    parameter values.

    12 For details, see Bah (2008). Because we will implicitly test the appropriateness of the

    US-derived parameters for our sample of countries later in the paper, we ask the reader to defer

    concerns about the validity of the United States as a benchmark. A compelling reason for using the

    United States for the calibration exercise is the longer and more stable time series on variablesneeded for calibration. Whether the United States is the most appropriate country for deriving

    parameters for our sample of countries cannot be answered in any definitive way, but we do note

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    ESTIMATES OF SECTORAL TFP IN AUSTRIA AND SELECTED

    TRANSITION ECONOMIES

    We use the parameters derived from our calibration exercise and data on

    sectoral labour shares and GDP  per capita  to estimate the sectoral TFPs forAustria and for nine transition economies: Bulgaria, the Czech Republic,

    Estonia, Hungary, Latvia, Lithuania, Poland, the Slovak Republic and

    Slovenia, that have joined the EU.13 Because of unavailability of consistent

    data on hours worked by sector, our analysis covers only the period

    1995–2005. Although our model is one of sectoral change, which is a long-

    term phenomenon, as we shall see, the sectoral changes in employment in the

    transition economies were quite significant even over this shorter period. We

    use Austria as a standard for comparison because in terms of population and

    land area it falls within the range of the transition economies in our sample,and it also is close geographically to a number of them. Moreover, it can be

    seen as a typical old EU member country in terms of its  per capita   income

    (Table 2).

    Austria’s   per capita   income in 1997 and 2005 exceeded that of the

    transition countries by a palpable amount.14 Austria is also slightly above the

    average   per capita   GDP of the old EU member countries, but its position

    relative to other ‘old’ EU members changed very little between 1995 and

    2005. The transition economies have gained appreciably in their standing  vis

    a vis   the EU 15 average, although the gains differ considerably across

    countries.

    In the application of the calibrated model to Austria and the transition

    countries, we assume all the parameters are the same across countries except

    the series for sectoral TFP. We use the model to find sectoral TFP series such

    that, within the framework of the model, we can best replicate the paths of 

    Table 1:  Calibrated Parameters

    Parameter    Aa   Am   A s   A¯

      a b d e gm   g s   l  y

    Value 1 1 1 0.24 0.7 0.975 0.05 0.30 0.019 0.009 0.02 0.3

    13 The sectoral employment shares for Romania proved somewhat problematic, and thus we

    dropped that country from our analysis even though it, too, is now an EU member.14 The new member countries may have larger informal sectors, which would somewhat close

    the gap between their per capita  incomes and that of Austria. However, official estimates of GDP in

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    GDP per capita and the sectoral employment shares. For agricultural TFP, we

    use the fact the subsistence level is assumed to be the same in every country.

    Therefore, for any other country, we can use the US employment shares and

    calculated agricultural TFP to deduce that country’s agricultural TFP. We

    calculate the agricultural TFPs in 1995, 2000 and 2005 and then assume

    constant growth between those dates. For the TFP series in industry and

    services and the initial capital stock, we match GDP  per capita relative to theUnited States in 1995, the average GDP   per capita   growth and labour

    reallocation from industry between 1995 and 2005.

    Sectoral TFP in Austria

    Figure 1 shows the results of our simulation of Austrian   per capita   GDP

    growth, sectoral employment and sectoral TFP. The first panel shows   per 

    capita GDP, with 1995 normalised to one. The simulated and actual data for

    GDP per capita are close to each other as are the sectoral employment shares

    reported in Panel 2.15 The shares of agriculture and industry in employmenthave fallen while services employment’s share has increased. Overall,

    structural change in Austria has been relatively slow over the period

    analysed. The last panel in Figure 1 shows that Austrian total factor

    productivity in industry relative to US industrial TFP in 1950 was around 2.1

    in 1995 and close to 2.4 in 2005. Agriculture and services TFPs in Austria in

    Table 2:  Per Capita  Incomes as Percentage of EU-15 Average

    Country 1997 2005

    Austria 112.9 113.3Czech Republic 61.9 67.8Estonia 35.0 51.7Latvia 29.8 43.1Lithuania 33.3 47.1Hungary 45.5 57.2Poland 40.1 46.0Slovak Republic 42.3 50.1Slovenia 64.5 75.0

    Source: EU (2006)

    15 That the model is able to match Austrian sectoral employment and  per capita  GDP over the

    sample period is a strong, but not absolute, verification of the validity of the US-based parameters for

    Austria. Because of space constraints we do not provide analogous Figures for the transitioncountries but summarize the results in tabular form. These Figures are available from the authors.

    Moreover, the model fits the actual GDP per capita and sectoral employment shares of the transition

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    1995 were between 1.4 and 1.5 times the corresponding 1950 level in the

    United States. TFP growth in Austrian industry and agriculture was relatively

    high, but TFP growth in the Austrian services sector was very slow.

    The ratios of Austrian TFPs to US TFPs should not be taken as indications

    of the relative productivity in the three sectors of the Austrian economy.

    While Austrian industry’s TFP relative to the 1950 US level is higher than

    the ratio of Austria’s agricultural TFP to the US level, many studies of US productivity suggest that, in 1950, TFP in US agriculture was higher than

    was TFP in industry. Thus, Austria’s greater gains in industrial TFP  vis a vis

    the United States may not have offset the 1950 advantage of US agricultural

    TFP over US industry’s TFP. As a result we are not able to infer from Figure 1

    whether the expansion of one of Austria’s three sectors at the expense of 

    the other two tends to raise or lower aggregate TFP growth. By observing the

    growth rates of TFP in the three sectors, we can, however, determine whether

    such inter-sectoral shifts in resources promote aggregate TFP growth by

    moving more resources into sectors that enjoy faster TFP growth over time.In the case of Austria, the movement of resources from agriculture and

    d b d h h h

    Figure 1: Actual and model predictions of  per capita GDP, employment shares and sectoral TFP for Austria.

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    one with low TFP growth.16 Given the slow pace of labour reallocation in

    Austria, the effect on aggregate growth is likely to be negligible.

    Sectoral TFP in transition economies

    In Tables 3 and 4 we summarise the simulation results for the transition

    economies over the period 1995–2005. We first briefly discuss cross-country

    similarities and differences in the results and then discuss how sectoral TFP

    levels and trends influence the convergence of the transition economies to EU

    levels of   per capita   GDP. Next we provide an international comparison of 

    sectoral TFPs to investigate whether the aggregate TFP lag implied by thetransition economies’ lower  per capita   GDP is because of lower TFPs in all

    sectors of the economy or whether their lower aggregate TFPs are the result of 

    particularly poor productivity in particular sectors of their economies.

    Table 3 shows that the model was able to generate GDP  per capita growth

    rates that closely reflect actual   GDP per capita   growth in the transition

    countries. Table 4 shows the sectoral employment shares projected by the

    model for the transition economies as well as their actual employment shares.

    We thus note that the model is able to generate both  per capita  GDP growth

    rates and changes in sectoral employment that closely approximate the actualchanges experienced by these countries. This, like the close tracking of 

    Austrian growth and structural change, suggests the validity of our

    parameterisation on the basis of US data.

    All the transition countries underwent a similar change in structure that

    involved the movement of labour out of agriculture and industry and into

    services.17 In this sense, structural change in the new EU members mirrors

    that taking place in the old EU members, even if, looking at the current

    sectoral distribution of labour, the new members lag behind the older ones by

    having higher shares of employment in agriculture and industry and a lowershare of services employment. On the other hand, the pace of structural

    change is faster in the transition countries than it is in Austria.

    There are significant differences among the nine transition economies in

    terms of the TFPs of their sectors relative to 1950 United States sectoral TFP

    levels. Table 5 ranks the sectors of the new EU member countries relative to

    16 A referee noted that the low growth of productivity in services may be an artifact of problems

    in measuring the output of services and that the services sector may be a catalyst for productivity

    growth in the other two sectors. This, of course, would apply to the new members and to Austria aswell.

    17 A number of countries show a small reversal in that, at the end of our period of observation,

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    US 1950 levels. The situation of industry is least ambiguous; it ranks as best

    or second best  vis a vis  the United States in all transition countries, and it is

    never the last sector in rank. For a sector that produces tradables and thus

    faces international competition, a sector receiving large amounts of FDI, and

    a sector where technology transfer by multinational firms is routine and

    relatively easy, such high rankings are not surprising. The rankings for theservice sector are also quite consistent, but poor. Services is never the best

    l d f h h l ll

    Table 3:  Actual and Predicted  per capita  GDP Growth 1995–2005

    Country Model Actual  

    Austria 19.71 20.22Bulgaria 49.32 49.01Czech Republic 27.46 27.44Estonia 107.00 106.95Hungary 57.73 57.71Latvia 116.59 116.66Lithuania 89.15 88.98Poland 48.74 48.77Slovak Republic 41.56 41.34Slovenia 45.51 45.46

    Note: The numbers are in percent.

    Table 4:  Actual and Predicted Sectoral Shares in Employment

    Predicted by the Model Actual Data

    Agriculture Industry Services Industry Services

    1995 2005 1995 2005 1995 2005 1995 2005 1995 2005

    Austria 7.25 5.08 30.68 30.34 62.07 64.58 31.57 27.87 61.04 66.87Bulgaria 25.14 23.73 30.53 28.15 44.33 48.12 33.31 24.68 41.59 51.58Czech Rep 6.37 4.00 40.79 38.42 52.84 57.58 41.64 39.03 51.89 56.95Estonia 10.16 5.28 33.58 33.59 56.26 61.13 33.48 33.41 56.35 61.31Hungary 8.38 4.96 34.61 34.62 57.01 60.42 33.13 33.16 58.39 61.87Latvia 19.32 12.44 27.69 26.88 52.99 60.68 26.81 26.31 53.75 61.10Lithuania 23.48 14.71 27.93 28.27 48.59 57.02 27.83 28.26 48.69 57.01Poland 21.77 17.40 32.67 29.71 45.56 52.89 32.41 28.52 45.78 54.07Slovak Rep 9.49 4.64 39.55 38.00 50.96 57.36 39.14 38.40 51.36 56.81Slovenia 11.19 8.84 40.91 36.32 47.90 54.84 42.15 36.04 46.52 54.17

    Note: Actual and predicted labor shares for agriculture are the same for the beginning and ending year,although not for other years in the simulation.

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    shortages that existed in the provision of retail and other such ‘low

    productivity’ services after the fall of communism and the subsequent rapid

    expansion of those sectors, and slowness in developing a modern services

    sector help to account for this poor productivity picture. A weak internatio-

    nalisation of the services sector may also be a factor. The relative position of 

    agriculture is the most variable of the three sectors. In some countries it comes

    closest to US TFP levels, but in other counties it shows the biggest gap. This

    may reflect cross-country differences in the productivity of the agrarian sectorbecause of variations in the effectiveness and extent of agricultural reforms, to

    the dissolution of collective agriculture, to the effectiveness of land distribution

    and reform and so on. Clearly, the poor productivity performance of services,

    the sector that shows the greatest employment gains, should be a policy

    concern for transition-economy governments.

    Structural change and aggregate TFP growth

    In this subsection we estimate the loss in GDP that results from the structural

    transformation process. This question is motivated by the fact that in all of our countries labour moves among sectors at a faster pace than it does in the

    old EU member countries. We note that the process of structural change is a

    key feature accompanying development.

    To determine whether structural change, either by moving labour from

    low to high TFP sectors or  vice versa  has an important impact on aggregate

    growth, we use the model to compute GDP  per capita using the capital stock

    and TFP series estimated in the foregoing section. However, instead of using

    the corresponding labour shares from the model, we use the sectoral

    employment shares given by the data for 1995.18 Table 6 summarises the loss

    Table 5:  Rankings of Sectoral TFPs Relative to the US -1950

    Country Sector Ranking

    Bulgaria Industry>Services>AgricultureCzech Republic Agriculture>Industry>ServicesEstonia Agriculture>Industry>ServicesHungary Agriculture>Industry>ServicesLatvia Industry>Agriculture>ServicesLithuania Industry>Services>AgriculturePoland Industry>Services>AgricultureSlovak Republic Agriculture>Industry>ServicesSlovenia Industry>Services>Agriculture

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    of GDP  per capita  growth from 1995. The largest loss in potential  per capita

    GDP was in Lithuania, whose   per capita   GDP in 2005 was 6.55% of 1995

     per capita GDP less that it would have been with no structural change. This

    means that annual growth of   per capita   GDP was around a half a percent

    slower than it would have been with no structural change. This is not a trivial

    amount, even when judged against the almost doubling of   per capita   GDP

    between 1995 and 2005, but for the other countries the effect of structuralchange on growth is negligible. Consequently, we can conclude that past and

    future structural change, even at the accelerated pace seen in the transition

    economies over the past decade, has a relatively minor impact on the new EU

    members’ ability to catch up with the older EU countries in terms of   per 

    capita GDP.

    Sectoral TFP in comparative perspective

    Our results show that aggregate TFPs have risen in all of the transition

    economies over the sample period, 1995–2005. However,   per capita   GDPconvergence between the transition economies and the older EU member

    countries will require the sectoral TFPs of the transition economies to grow

    closer to the levels of the old member countries. To the extent that some

    transition economies’ sectors lag behind in TFP growth, their other sectors

    will have to achieve even faster TFP growth to assure convergence.

    Figure 2 shows the agricultural TFPs of the transition economies relative

    to Austria’s agricultural TFP, which is normalised to one in each year. One

    transition economy, the Czech Republic, has higher TFP in agriculture than

    does Austria for the entire sample period and its agricultural TFP also grewfaster than did Austria’s. As a result, by the end of our sample period, Czech

    l l % h h h h

    Table 6:  Loss of GDP  Per Capita  Due to Structural Transformation (as a percnt of 1995 GDP  Per Capita)

    Country Percentage Loss

    Austria 1.28Bulgaria 0.95Czech Republic 2.29Estonia 3.83Hungary 2.31Latvia 4.47Lithuania 6.55Poland 2.74Slovak Republic 4.44Slovenia 3.16

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    climate and grow similar crops using similar technologies, the quality of 

    Czech land is higher because of a more favourable topography. Moreover, the

    Czech Republic has experienced a drastic dismantling of socialist-era

    collectives and the outflow of part-time and low-productivity labourfrom agriculture. Three other transition economies, the Slovak Republic,

    Hungary and Estonia also show rapid convergence to Austrian TFP levels,

    with the former two countries surpassing Austria by the end of the sample

    period and Estonia’s TFP is nearly equal to that of Austria. These four

    countries’ agrarian sectors thus already operate at productivity levels that are

    comparable to that of an old EU member with an above (old EU) average  per 

    capita   income. This suggests that concerns that CAP funding would be

    required to support relatively inefficient agrarian sectors in these countries

    are exaggerated.For the other transition economies the picture is less favourable. Slovenia

    started the period with TFP in agriculture at about three-fourths of Austria’s,

    but its TFP growth failed to match Austria’s over the sample period so that the

    TFP gap between the two countries widened. The two Baltic Republics, Latvia

    and Lithuania have TFP about one half of Austria’s and they made only

    modest progress in closing this productivity gap between 1995 and 2005.

    Poland and Bulgaria fell farther behind Austria, and both have TFPs in

    agriculture that are less than one-half of Austria’s. For Poland, its many small

    and inefficient private farms are a likely source of that country’s pooragricultural TFP showing. In these countries, lagging agrarian productivity

    dd l l f h f h b

    Figure 2:  Agricultural TFP Relative to Austria.

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    Figure 3 provides similar comparisons of the transition countries’ TFPs in

    industry to that of Austria. None of the transition economies has an industrial

    TFP that matches that of Austria. Nevertheless, four transition countries,

    Estonia, Latvia, Lithuania and Hungary showed large gains in TFP over thesample period, ending the period with TFPs that are from two-thirds to three-

    fourths of Austria’s. Poland experienced a more gradual convergence to

    Austria’s TFP levels, while the Czech Republic and Slovenia had relatively

    high levels of TFP, but failed to keep up with TFP growth in Austria over the

    sample period. The Slovak Republic and Bulgaria had TFPs in industry that

    were about one-half of Austria’s.19 Because industry continues to be a major

    part of the new members’ economies, poor performance  vis a vis  Austria is a

    significant hindrance to catch-up.

    The TFPs for services are reported in Figure 4. None of the transitioneconomies matches Austria’s services TFP although Slovenia, the Czech

    Republic and the Slovak Republic are near, but closing the gap only very

    slowly. The three Baltic Republics and Hungary, while staring at relatively

    low TFP levels, all made significant improvements in service sector TFP over

    the sample period. In contrast, Poland and Bulgaria had low TFPs and failed

    to make much headway in catching up with the other economies.

    This analysis of relative TFP performance yields several conclusions. The

    first is that TFP in agriculture is not a major barrier to catch-up for many new

    Figure 3:  Industrial TFP Relative to Austria.

    19 The divergence in industrial TFP performance in the transition economies is somewhat

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    members because they already have achieved relatively high productivity

    levels. Moreover, agriculture plays a diminishing role in aggregate economic

    activity. Second, some countries, such as Bulgaria, have significant problemsin achieving acceptable rates of TFP growth in industry and services, and,

    given the growing share of these sectors in aggregate output, this poor

    performance is a real barrier to these countries’ efforts to catch up to the

    average EU per capita income. Conversely, some of the transition economies,

    such as the Baltic States and Hungary, are making good progress in raising

    TFP levels in both industry and services, and these countries thus should also

    experience high aggregate TFP growth that will facilitate their convergence to

    EU living standards.

    Sources of economic growth in new EU member countries

    So far, we have shown that the new EU member countries have not had their

    growth severely hampered by structural change, and that they differ

    considerably among themselves with respect to which of their sectors’ TFP

    levels are closest to those of Austria and which are contributing the most to

    aggregate TFP growth. In this section we return to the question of aggregate

    TFP growth and catch-up for the new EU member countries. In the

    introduction, we noted that the greatest obstacle to measuring aggregate

    TFP growth in the transition countries lies in estimating the capital stock. Wetherefore use Equation 12 to compute the aggregate capital stock for our

    l f f h d h

    Figure 4:  Service TFP Relative to Austria.

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    beginning of this paper, then the modelled stock of capita would exhibit faster

    growth from this lower starting point than would the official capital stock

    data. Moreover, if this difference in growth rates were significant, then a

    growth accounting exercise based on our estimates of the capital stock would

    show a faster growth rate of the capital stock and a correspondingly lower

    growth of TFP than would be obtained by undertaking the same exercise

    using capital stock series that did not adjust for the excess destruction of capital.

    Table 7 provides the aggregate capital stocks estimated from Equation 12

    for each country for the period 1995–2005. All the transition economies

    experienced faster capital stock growth than did Austria, but there were also

    important differences among the transition countries themselves, with the

    Baltic Republics noteworthy for the rapid growth of their capital stocks.

    Table 8 then sets out the results of the growth accounting exercise based on

    the growth of GDP and of our estimates of the capital stock in the transition

    countries. As can be seen, GDP, the capital stock and TFP (except in the CzechRepublic) grew more rapidly in the new member states than they did in

    Austria over our sample period. However, only in Estonia and Hungary did

    TFP growth contribute more than 50 percent of GDP growth, and only in

    these two countries did the contribution of TFP growth to GDP growth exceed

    that of Austria, while in Latvia and Lithuania, TFP growth accounted for

    about the same percentage of aggregate growth as it did in Austria. In the

    other transition economies, capital accumulation was the main driver of 

    aggregate growth.

    The extent to which the transition-induced excess depreciation of thecapital stock affects our perception of TFP growth of the transition economies

    d ff l d b f l k f h h l

    Table 7:  Estimates of Aggregate Capital Stock, 1995=100

    1996 1997 1998 1999 2000 2001 2002 2003 2004 2005

    Austria 103 107 110 114 117 120 124 127 130 134Bulgaria 109 118 127 136 145 153 162 171 181 191Czech Republic 108 115 122 129 135 141 147 153 159 164Estonia 113 126 139 154 169 185 202 220 239 260Hungary 107 115 122 130 138 146 154 163 172 181Latvia 115 131 148 166 185 205 226 250 275 302Lithuania 113 126 140 155 170 186 202 220 238 258Poland 113 126 138 151 163 175 187 200 212 224Slovak Republic 109 119 127 136 144 152 160 168 175 182Slovenia 113 126 138 150 161 172 182 192 201 210

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    Table 8:  Contributions of Capital Accumulation and TFP Growth to GDP  per capita  growth 1995–2005

    Growth 1995–2000 (percent) Austria Bulgaria Czech Rep Estonia Hungary Lat

    GDP 19.71 49.32 27.46 107.00 57.73 11

    Capital 33.66 90.68 64.01 159.65 80.79 20

    TFP 9.62 22.12 8.26 59.10 33.50 5

    Contributions of TFP growth to GDP growth as percentage of total growth

    Our Estimate 1995–2005 48.8 44.8 30.1 55.2 58.0 4

    Rapacki and Próchniak (2009) 1995–2003 68.5 103.7 112.5 43.0 6

     C  om  p ar  a t  i   v e E  c  on omi    c  S  t   u d i    e  s 

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    Perhaps the closest in comparability are estimates of the share of TFP in real

    GDP growth provided by Rapacki and Próchniak (2009) who calculated the

    annual contribution of TFP growth to real GDP growth for transitioneconomies using total employment and perpetual inventory capital stock

    estimates based on gross investment for the period 1990–2003. We averaged

    Rapacki and Próchniak’s annual estimates over the 1995–2003 period, and

    these are also reported in Table 8. In their estimates, which do not account

    for excess depreciation of capital, TFP growth accounts for a significantly

    higher share of GDP growth, in some cases over 100 percent of it. Some of 

    the difference between their estimates and ours may be the result of 

    differences in measuring the labour input, but, as suggested at the start of this

    section, our estimates attribute a larger role to capital accumulation in

    the convergence process than do estimates that do not account for the

    transition-induced destruction of capital and the subsequent faster growth of 

    the capital stock.

    CONCLUSIONS AND POLICY IMPLICATIONS

    In this paper we have estimated the TFPs of the transition economies thathave joined the EU and of a roughly comparable ‘old’ EU member, Austria,

    which has a   per capita   income that is higher than that of any of the new

    members. These differences in   per capita   income mirror differences in

    aggregate TFP, as well as in differences between sectoral TFPs, which on

    average are also lower than those of Austria. However, the TFP gaps between

    Austria and the new members we observed are not uniform across sectors of 

    the economy. The TFP gap appears smallest in agriculture and greatest in

    industry or services depending on the country. Moreover, the new member

    countries differ in the relative TFP levels of the three sectors vis a vis  Austria.A second finding is that the transition economies themselves should not

    be seen as a homogeneous group. There are great TFP differences between

    them, and perhaps more troubling, some of them are not improving

    productivity in industry or services or both, suggesting that catching up with

    the EU average may prove an impossible task for them. The structural

    changes taking place in the transition economies mirror, but appear to be

    faster than, those taking place in Austria, and, indeed, in virtually all EU

    member countries. The proportion of the labour force employed in agriculture

    is falling, as is that of those employed in industry, while services employ thelargest and increasing share of the labour force. This structural change is not

    f bl f h h h h

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    in services and particularly in industry. The gap between Austria and the

    transition economies in services TFP is not large for some of the transition

    countries, but more troubling is that about one half of the transitioneconomies are not catching up with Austria in this key sector. Thus, if there is

    to be convergence in per capita GDP between the old and the new members of 

    the EU, then measures to improve productivity in services and, perhaps as

    well, in industry will be required.

    Also noteworthy is that the aggregate TFP growth of each of the transition

    economies is based on strikingly different TFP dynamics and levels in the

    three sectors. There is a tendency when discussing the growth and income

    levels of the transition economies to assume that reforms, liberalisation, and

    greater reliance on the market, as captured by broad indicators of economic

    reform, such as the EBRD reform index, rankings of ‘competitiveness’, etc

    influence the performance of all sectors of the economy in more or less the

    same way. However, our results suggest that this may not be the case.

    Countries with broadly similar reform policies and reform ‘scores’ have

    different sectoral TFP levels and dynamics. This suggests that our measures

    of reforms may be too broad or that more specific policies that often go

    unnoticed play a more important role in determining TFP levels and growth

    than is commonly thought.Finally, our results suggest that the new members do not differ from the

    old EU members in terms of the contribution of capital accumulation and TFP

    growth to the growth of GDP. Our estimates, which account for the transition-

    related destruction of capital in Eastern Europe, indicate that capital

    accumulation has played an important role in  per capita income convergence,

    and thus future convergence also depends on continued high rates of capital

    accumulation.

    Acknowledgements

    We thank Athanasios Vamvakidis, Paul Wachtel and annonymous referees for

    helpful comments.

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    APPENDIX: DATA SOURCES

    For the United States, the data for GDP   per capita, expressed in 1990

    international Geary-Khamis dollars, is from the   Historical Statistics for the

    World Economy: 1-2003 AD   by Maddison. The shares of sectoral hours

    worked and the price of services relative to industry are from the Groningen10-sector industry database. We obtained average capital-to-output ratio and

    average investment-to-output ratio from the NIPA tables. The price of services

    relative to industry is calculated using data from the Gronigen 10-sector

    industry database. The database shows the value-added of each sector in

    constant and current prices. The price of a sector is obtained by dividing the

    value-added in current prices by the value-added in constant prices. For

    Austria and the transition countries, GDP   per capita   in constant 2000 PPP

    dollars and the sectoral employment shares are from World Development

    Indicators Online Database.

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