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    Trade Structure and Economic Growth

    Raja Kalia, Fabio Mndez

    a, and Javier Reyes

    a,b

    aDepartment of Economics, Business Building Room 402, Sam M. Walton College of

    Business, University of Arkansas, Fayetteville, AR, 72701, USA.

    b Corresponding author. Tel: +(479) 575-6079. E-mail address: [email protected]

    October 30th

    , 2006.

    Acknowledgements: The authors greatly benefited from comments and suggestions

    provided by participants of the Midwest International Economics Group Fall 2005

    Meetings and the Fifth Workshop of the Regional Integration Network (sponsored byLACEA), as well as Rossitza B. Wooster, Christopher Laincz, Christopher P. Ball, and

    Ari Van Assche. Additionally the authors would like to acknowledge that partial research

    funding was provided by the Summer Research Grant program of the Sam M. WaltonCollege of Business at the University of Arkansas.

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    Trade Structure and Economic Growth

    Abstract

    How do the number of trade partners and the concentration of trade among partners affect

    the economic growth of a country? We refer to these characteristics as the structure of

    trade, and explore this question empirically in this study. We find that the structure of

    trade, independently from of the level of trade itself, has an important effect on the rate of

    economic growth. The results of the study suggest that the number of trading partners is

    positively correlated with growth across all countries, and this effect is more pronounced

    for rich countries. Trade concentration is positively correlated with growth for all

    countries, and the effect is concentrated in poor countries. Previous work has overlooked

    these characteristics of trade, though we find them to be quite relevant and that they could

    lead to new ways of understanding the trade-growth relationship.

    JEL classifications: O1; F43; O47; F0; O4

    Keywords: Trade; Growth; Trade Structure; Trade Concentration.

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    1

    1 Introduction

    The effects of international trade on economic growth have been the subject of a rich

    debate. Still, the main question of whether (and how) trade enhances growth remains

    unanswered, as the conclusions of both theoretical and empirical studies are highly

    sensitive to changes in the assumptions made, the variables used to measure trade

    openness, the sample data used, and the econometric technique employed (see, for

    example, Grossman and Helpman (1991), Matsuyama (1992), Walde and Wood (2005),

    Rodriguez and Rodrik (2000), Yannikkaya (2003)).

    Noticeably, most of the analysis within this debate involves trade measures regarding

    export and import volumes or shares, trade policies regarding tariffs or custom barriers,

    and related measures of trade openness1. Little or no attention has been given to the trade

    strategies followed and the types of trade relations established; even though they too have

    been subject to noticeable changes. Just in the last ten years, over 130 regional trade

    agreements have been reported to the World Trade Organization (compared to 124

    reported during 1948-1994)2

    and key players, like the United States and the European

    Union, have adopted a more aggressive pace in their bilateral trade negotiations.

    In fact, the changes experienced over the last decades of globalization are more

    pronounced in terms of the structure of trade than in the volume of trade itself (or in the

    average trade policies). As shown in Table 1, while the share of total trade in GDP for

    the average economy went from 58.3% in 1970 to 88.5% in 2003, the average number of

    trading partners more than doubled as it went from 46.4 to 93.9 in that same period.

    Similarly, as shown in Table 2, when measuring the trade concentration with the standard

    Herfindahl index, trade concentration decreases from 2201 to 1580 for the average

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    2

    economy between 1970 and 2003. Today, most countries are less reliant on one trading

    partner (or group of partners) than they were 30 years ago.

    There are reasons to believe that such characteristics regarding the structure of trade

    have significant implications for economic growth. In this paper, we study these

    implications. Specifically, in this paper, we assemble a dataset that tracks the number of

    trading partners for a given country and the volume of exports and imports. We then

    construct a measure of the concentration of trade and use these variables to examine the

    relationship between the international trade structure and economic growth in a panel of

    over 155 countries for the period 1980-2000.

    Our results provide new insights into the mechanisms that make international trade a

    positive influence for growth. We find that the structure of trade, independently from

    trade openness, has an important effect on the rate of economic growth. The number of

    trading partners is found to be positively correlated with growth across all countries; this

    effect is found to be greater for rich countries. Trade concentration is also found to be

    positively correlated with growth for all countries in general; but this correlation is

    mostly attributed to poor countries only. These results are robust to changes in the

    econometric specification used, the number of explanatory variables included, and

    corrections for heteroskedasticity and endogeneity.

    In terms of policy, understanding the effects of trade structure on growth is important.

    As our empirical results suggest, the effects of trade structure on growth vary

    significantly between poor and rich economies. Additionally, the results present

    evidence supporting the argument that trade relations established with rich countries are

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    3

    more beneficial than those established with poor countries. Understanding these

    differences should yield better policy prescriptions.

    Even though the structure of trade is a complex concept that might be relevant in more

    than one sense, we regard our efforts as a first step in this new direction. Empirical

    measures of trade characteristics or trade patterns and configuration are scarce.

    Theoretical models that incorporate those elements and guide our intuition are rare as

    well. As this paper demonstrates, however, the study of trade structure characteristics

    could lead to new ways of understanding the trade-growth relationship.

    Several other studies have gone beyond the simpler measures of trade. Dollar

    (1992), Sachs and Warner (1995) and Warcziarg (1998), for example, create their own

    indicators of openness. However, as pointed out by Rodriguez and Rodrik (2000), these

    measures might not achieve the purpose they were conceived for, since they are likely

    proxies for a wide range of policy and institutional differences. The measures of the

    number of trading partners and the concentration of trade used in this paper, in contrast,

    are clearly related to trade and are simpler to interpret.

    Additionally, there is a related branch of the literature that has looked for evidence

    regarding the effects of trade on total factor productivity. Representative papers of this

    literature include Coe and Helpman (1995), Keller (1998) and Edwards (1998). While

    these papers look for changes on productivity that arise as the result of increased trade

    openness (ratio of total trade to GDP), we look for changes that arise as the result of the

    structure of trade, independently from trade openness.

    The remainder of the paper is organized as follows: The next section describes the

    conceptual arguments that characterize the expected empirical relationship between our

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    measures of trade structure and the rate of output growth. Section 3 presents the

    econometric specifications employed to test these arguments. Section 4 introduces the

    dataset and discusses the trade structure variables employed. Section 5 presents the

    empirical results obtained and, finally, the last section summarizes our conclusions.

    2 Theoretical Background

    The likely effects of international trade on economic growth can be formally derived

    from endogenous growth models that study the creation, diffusion and adoption of better

    production technologies. Some of these models are now well known in the literature, as

    is the case for Romer (1990), Grossman and Helpmann (1991), and Rivera-Batiz and

    Romer (1991), and the idea that trade promotes growth through the transmission and

    creation of knowledge is widely accepted among economists3.

    In these models, the trade of goods and services can generate positive effects on

    economic growth from at least two sources: First, international trade may generate

    knowledge spillovers that expand the number of intermediate goods known by

    domestic producers, where these intermediate goods can be understood as new ideas,

    designs, or managerial processes that lead to increased productivity. That is,

    international trade may act as a diffusion mechanism for foreign technologies.

    Second, international trade may produce incentives for local research and

    development. Trade expands the number of potential buyers and thus, the potential for

    economic profits associated with innovation, brand recognition, patent registrations, and

    any improvements over competing firms products. Trading goods with foreign markets

    also forces the producer to react to a new environment and innovate in the process.

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    These innovations might take the form of necessary adjustments to packaging and

    transportation methods due to local climates and infrastructure, product adjustments

    made to entice consumers with different tastes, innovations in the production process that

    comply with foreign sanitary regulations, etc.

    What is still to be explained are the actual mechanisms that diffuse technology across

    countries and the process through which countries adopt these newer technologies. In

    this paper, we argue that both the number of trading partners and the concentration of

    trade among partners are important elements of those mechanisms.

    2.1 Economic growth and the number of trading partners

    Every country generates knowledge through research or experience; some countries

    generate more knowledge than others. But when countries trade the goods and services

    that embody those original ideas, the knowledge is indirectly transferred to the trading

    partner who learns by induction. In this manner, international trade facilitates the

    transmission of technologies across countries; where the amount of technological

    diffusion depends on how much a country trades and with how many partners.

    In our econometric specification, besides including a measure of trade openness, we

    also include the number of trading partners. For any given amount of goods traded, the

    exposure to new ideas is greater when the number of countries involved in the trade

    grows larger, as each partner contributes an original amount of knowledge. Thus, ceteris

    paribus, countries with more trading partners would be expected to face a greater number

    of foreign technologies and to experience greater economic growth as the adoption of

    those technologies increases productivity.

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    In addition, as the number of trading partners increases, the potential market in which

    domestic producers can sell their products expands both in size and diversity. Both

    effects are expected to support growth. The expanded size of the potential market attracts

    local and foreign investments. These investments, in turn, have been shown to play an

    important role for technological diffusion and innovation (Grossman and Helpman

    (1991)). Noticeably, the size of the potential market is related to the number of trading

    partners but is not necessarily related to traditional measures of trade openness that

    capture actual volumes of imports and exports.

    In turn, the expanded diversity of the market puts all producers in contact with a wider

    rage of consumer tastes, government regulations, climates, etc. As local producers seek

    to compete in more foreign markets, they accommodate to the particular characteristics of

    these markets and innovate in the process. The greater the number of trading partners,

    the greater the innovations that become necessary. As mentioned before, these

    innovations might take the form of necessary adjustments to packaging and transportation

    methods, product adjustments made to entice alien consumers, innovations in the

    production process that comply with foreign sanitary regulations, and others.

    Finally, as the number and diversity of partner countries increases, the number of

    potential competitors for the local market increases as well. Competition, in turn, leads

    to higher productivity and greater economic growth. Evidence on the effects of

    competition on productive efficiency can be found in Vickers and Yarrow (1991) and

    Bourbakri and Cosset (1998).

    The marginal benefit of an additional trading partner, however, could be different in

    poor economies than in rich economies. On the one hand, if newer technologies increase

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    the productivity of older technologies, then the effect of an additional trading partner on

    growth should be smaller for a poor economy since they have a smaller stock of

    knowledge to begin with. On the other hand, because the stock of knowledge is smaller

    in poor countries, the contribution of an additional trading partner in terms of new

    knowledge (and thus, its impact on growth) is likely to be greater for undeveloped

    economies. While these effects operate in opposite directions, they both suggest

    asymmetry between rich and poor countries.

    Similarly, the effects of having a greater number of rich (technologically superior)

    trading partners could be different from those of having a greater number of poor

    (technologically inferior) trading partners. If the benefits of trade come mainly from

    technological diffusion, then it could be expected that a country learns more by trading

    with a rich partner than by trading with a poor partner; as the imports from richer

    countries are likely to be composed of relatively more technology intensive goods (see

    Schneider (2005) for an empirical analysis of a similar argument).

    In our econometric specifications we explore both the possibility that an increase in

    the number of trading partners generates an effect on economic growth that differs

    between poor and rich countries, and the possibility that the effect of increasing the

    number of rich trading partners is different from the effect of increasing the number of

    poor trading partners.

    2.2 Economic growth and the concentration of trade

    There are also reasons to expect that the concentration of trade among trading partners

    may have a positive impact on output growth. First, whenever technologies from

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    different countries act as substitutes and compete with each other, then concentrating

    trade on a partner(s) with a single technological configuration could facilitate technology

    adoption. The implementation and dissemination of foreign innovations is made easier

    when more people become familiar with the language and the conventions of these

    innovations (see Yanikkaya (2003), for related ideas).

    Consider the case of an economy faced with two alternative technologies. Both

    technologies are equally efficient, but they were conceived by different sources and do

    not produce the desired results when combined. In this case, the economy might be

    better off by adopting only one of them (instead of both); since this might speed up the

    learning process and the collaboration across industries that use the same technology.

    Examples of such technologies can be found in American and European video formats

    and home heating technologies, alternative medical procedures, alternative drug

    prescriptions and related drug interactions, or in economic papers that model time in

    either discrete or continuous form.

    Second, given the total number of partners and the total volume of trade, it may be

    cost-efficient for countries to concentrate trade on one or a few partners. Concentrating

    trade might help minimize trade costs associated with the congestion of insufficient

    infrastructure like ports, airports, diplomatic posts or costumes personnel. Thus, where

    the trade related infrastructure is not well developed, concentrating trade might lower

    transportation costs. These costs have been shown to affect trade significantly. Frankel

    et al. (1995), for example, point to transportation costs as one main reason why trade

    blocs may form. Similarly, it is possible that trade-related public policies that promote

    local investments become easier and cheaper to implement when trade is concentrated

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    among few partners. Such policies might include, for example, the dissemination of

    foreign regulation manuals, public information regarding national and foreign trade

    barriers, the coordination of national and international sanitary regulations, etc.

    Finally, small economies that depend on certain industries for a significant share of

    their GDP might benefit from greater trade concentration as far as these specific

    industries benefit from greater concentration. As suggested by Pickering and Sheldon

    (1984), concentration at the industry level might lead to economies of scale in production

    and marketing, as well as stronger competitive positions.

    As with the number of trading partners, the asymmetry between rich and poor

    countries can also be expected from the effects of trade concentration on economic

    growth. Because rich countries hold and create more knowledge to begin with, have a

    more diversified economy, have better infrastructure and more efficient governments,

    they would be expected to benefit less from trade concentration than poor countries do.

    3 Econometric Specifications

    In what follows, we marshal the conceptual arguments presented above to explore the

    following hypothesis:

    There is an empirical relationship between trade structure and economic growth.

    Past empirical studies that fail to control for trade structure may suffer from

    omitted variable biases.

    An increase in the number of partners is associated with an increase in the rate of

    economic growth. This effect differs between rich and poor countries.

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    Given the volume of trade and the number of trading partners, an increase on the

    concentration of trade is associated with an increase in the rate of economic

    growth. This effect is smaller for rich countries.

    Empirically, the relationship between trade and growth has been tested in a variety of

    econometric specifications. The earlier literature, represented by Feder (1982), focused

    on the relationship between exports and growth. More recent empirical studies, however,

    have used an empirical formulation closer to that of Barro (1991) or Levine and Renelt

    (1992). We will use the latter, more recent specification for most of the analysis and use

    the former only as a robustness test of our results.

    Following Barro (1991) andLevine and Renelt (1992), the rate of growth of GDP per-

    capita ( yy& ) is regressed against a vector Cr

    of standard explanatory variables and an

    additional set of explanatory variables that capture the issues of interest. The vector Cr

    is

    composed of measures of the initial per-capita level of income (y0), the rate of population

    growth ( LL& ), the secondary school enrollment ratio (SED), and the ratio of investment

    to GDP (I/Y)4.

    With respect to the variables measuring trade, a wide variety of measures have been

    used in the empirical growth literature. The most commonly used measure is the ratio of

    total trade (exports plus imports) to GDP (see, for example, Easterly, Loayza and Montiel

    (1997), or Frankel and Romer (1999)). Other, less common measures include composite

    indices of openness (Dollar (1992), Sachs and Warner (1995), Wacziarg (1998)) and

    measures of trade restrictions and policies such as tariffs and export taxes (as in Harrison

    (1996) and Edwards (1988)). Since our focus of attention is not on the volume of trade or

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    the degree of openness in economic policies, but on the structure of trade, we choose to

    utilize the simpler and more popular variable of Total Trade as a percentage of GDP to

    control for trade openness5.

    Finally, we include our measures of trade structure in a vector

    TS of additional

    explanatory variables. The resulting econometric specification takes the following form:

    ++++=

    TSTradeCy

    y r&(2).

    Throughout the empirical results section we either conduct the standard OLS regressions

    (using the averages for the whole sample consider) to estimate equation (2), or use five-

    year averages for all variables and conduct fixed effect regressions6. When conducting

    fixed effects regressions, all regressions include a country-specific term as well as a

    period-specific term.

    As pointed out by authors like Easterly et al. (1997) and Temple (1999), there are

    several reasons why it is preferable to take advantage of the time-series aspects of our

    data in addition to the cross-sectional variation. First, given that the variables of interest

    vary significantly over time, the use of cross-sectional averages misses out on much of

    the information emerging from changes that occur over time in each country. Second, the

    use of panel data allows us to control for omitted time-specific effects and country-

    specific effects and, thus, to diminish the endogeneity biases associated with institutional

    or sociopolitical factors, and world wide shocks. In this regard, the use of five year

    averages allows one to take advantage of the time series aspects of the data while still

    capturing long-run aspects of economic growth.

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    As mentioned earlier, we use the alternative specification proposed by Feder (1982)

    to test the robustness of our results. Feder (1982) tested a two-sector model of growth in

    which export goods generate positive externalities for domestic production. In his basic

    econometric formulation, the rate of growth of output ( YY& ) is determined by the

    investment to output ratio (I/Y), the rate of population growth ( LL& ) and the product of

    the exports to output ratio (X/Y) and the rate of growth of exports ( XX& ).

    We modify Feders formulation in two ways. First, when studying the effects of

    exports on growth we also control for the structure of trade as described by our data.

    Second, we reformulate the specification so that per-capita income growth (y) is used as

    the dependent variable. The resulting specification is summarized in equation (3):

    ++

    +

    +

    =

    TSY

    X

    X

    X

    L

    L

    Y

    I

    y

    y &&&)( (3)

    Other authors contemporaneous to Feder (1982), like Balassa (1978) or Tyler (1981)

    used simpler one-sector models for which the relevant exports-related regressor in the

    econometric specification was )XX& instead of ) ( )YXXX & as in equation (3). In

    our robustness tests we allow for these possibilities as well.

    4 Data Description and Trade Structure Variables

    The empirical analysis uses data from a large sample of countries during the period

    1980-2000. Values of annual population growth (POP), real income per capita (GDP),

    annual GDP growth, secondary school enrollment rates (SED), the investment share of

    GDP (Investment), the share of total trade to GDP (Trade Openness), and the share of

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    government expenditures in GDP (Government) were extracted from World Bank's

    World Development indicators (2004).

    With respect to the variables capturing the structure of trade, we incorporate two

    variables into the analysis: the total number of trade partners a country had at each point

    in time and the concentration of trade volumes among these partners. The number of

    trading partners for each country was extracted from the Direction of Trade Statistics

    database (DOT) from the International Monetary Fund.

    Also from the DOT database, we use the monetary values of total imports and total

    exports for each country/trading partner pair and construct a Herfindahl-Hirschman

    concentration index of trade (HHI) for all countries. This index measures the

    concentration of trade among all trading partners; where a low number indicates low

    concentration. The index was computed as follows:

    2

    =

    N

    jN

    j ji

    ji

    T

    THHI

    WhereNand jiT denote the total number of trading partners and the total value of trade

    (exports plus imports) between countries i and j, respectively7. Table 2 presents

    summary statistics for the HHI across regions of the world and confirms our initial claim

    that the changes on the trade structure have been more pronounced than changes on the

    levels of trade.

    It should be noted that even though the HHI index described above is a function

    of the number of trading partners, these two variables are not necessarily related and, a

    priori, there should not be a multicolinearity problem for the regression analysis. The

    addition of a new trading partner could result in a higher, lower, or constant degree of

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    trade concentration. The actual result depends on the level of trade emerging from the

    addition of the new trading partner, with respect to the already existing trade volumes.

    Having said this, there is a possibility that the relationship between the number of

    trading partners and trade concentration is such that, by chance, there is multicolinearity

    between the variables. To explore this possibility, we computed the correlation between

    the changes in the number of trading partners with the changes in trade concentration

    (HHI), the results show that the correlation coefficient between these two variables is

    0.14, suggesting that multicolinearity between these variables is not an issue for the

    econometric analysis.

    Appendix 1 shows the source and the definition of all data variables used in this

    study. Additionally, Table 3 offers a summary of descriptive statistics for these variables

    for each of the samples explored; all countries, poor countries and rich countries.

    5 Empirical Estimation Results

    We start by using five year averages of all relevant variables and conducting fixed

    effects estimations of equation (2).The specific time periods for the averages are 1980

    1984, 1985 1989, 1990 1994, and 1995 1999. All estimations included a country

    specific term as well as a period specific term. The presence of both country and period

    specific effects could not be rejected for any of the estimated regressions presented here

    based on a Likelihood Ratio test. Additionally, the results presented are corrected for

    heteroskedasticity using Whites correction method.

    Tables 4, 5 and 6 present the results of estimating equation (2) for the whole sample

    of countries, the sample of poor countries, and the sample of rich countries, respectively.

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    In all these tables, column (1) presents the estimation results for the base specification

    where the trade structure variables are not included, while columns (2) - (6) present those

    obtained for specifications that include the trade structure variables. Columns (2) (4)

    present the main results for the trade structure variables and columns (5) - (6) explore the

    possibility that the effect of increasing the number of rich trading partners is different

    from the effect of increasing the number of poor trading partners. To this effect we

    compute the number of rich and poor trading partners and include them separately in the

    regression analysis. A country was categorized as poor if its income in 1980 was smaller

    than the income of the median economy in 1980.

    The results of the basic specification regarding trade openness as measured by total

    trade to GDP ratio resemble those of other studies that use similar methodologies and

    data (see, for example, Harrison (1996), Yannikaya (2003)). Trade openness has a

    positive and significant coefficient for the poor countries sample, a mostly positive but

    statistically insignificant coefficient for the total sample, and a negative but mostly

    insignificant coefficient for the rich countries sub-sample. It is only for poor countries

    that the level of trade openness appears to impact growth positively and significantly.

    With respect to the number of trading partners, the estimated coefficient is positive and

    statistically significant for almost all of the econometric specifications across the three

    samples explored in the analysis8. Additionally, the value of the estimated coefficients

    for the number of trading partners imply that the effects of this variable on GPD growth

    rates is of considerable economic magnitude. Focusing on Table 5, where the results of

    the estimation for the poor countries sample are presented, we see that the estimated

    coefficient for the number of trading partners, in column (4), is approximately 0.00052.

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    This coefficient implies that, everything else constant, increasing the number of trading

    partners by 10 (just a fourth of the standard deviation) is associated with an increase in

    the rate of growth of 0.52 percentage points9. Given that the average rate of annual

    growth in most undeveloped countries lies beneath one percent, the potential benefits of

    increasing the number of trading partners appears to be substantial.

    When the sample is divided into rich and poor countries, the estimated effect of an

    additional trading partner is much smaller for the poor countries sub sample than for the

    rich countries sub sample. The average value for the estimated coefficient is

    approximately 0.0004 for poor countries and 0.0008 for rich countries (see Tables 5 and

    6). As explained before, poor countries are likely to benefit less from additional trading

    partners when different technologies act as complementary inputs and when the

    acquisition of knowledge is mostly channeled through one relatively advanced trading

    partner.

    We now turn to the discussion of the effects that trade concentration has on economic

    growth. The estimated coefficients for the trade concentration variable were, for most of

    the cases considered, positive and statistically significant for both the total sample and the

    poor countries sub sample. In contrast, for the rich countries sub sample, the estimated

    coefficient was often insignificant and in some cases negative. Since the level of

    concentration increases as the HHI index increases, the results imply that poor countries

    benefit from more concentrated trade while the evidence for the rich countries is mixed at

    best.

    The estimated coefficients for the index of concentration show that the economic

    magnitude of the effects from trade concentration could also be considerable. For

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    example, the coefficients for the poor and rich countries sub samples, reported in column

    4 of Tables 5 and 6, imply that for poor countries a one standard deviation increase in the

    level of trade concentration (HHI index) leads to an increase in the GDP growth rate of

    0.32 of a standard deviation (1.42 percentage points), while for rich countries the

    corresponding increase in the GDP growth rate is 0.19 of a standard deviation (0.97

    percentage points)10

    . Again, the economic impact is significant.

    As noted before, columns (5) - (6) in Tables 4 through 6 present the results obtained

    for the analysis of the hypothesis regarding technological diffusion arising mainly from

    rich trading partners. The evidence provided from this expanded analysis generally favors

    this argument. The estimated coefficient for the number of rich trading partners is mostly

    positive and statistically significant for all samples studied, while the coefficient for the

    number of poor trading partners is always negative, but only significant for the whole

    sample and the rich countries sub sample.

    The conclusion that emerges from the arguments stated in section 2 and the empirical

    evidence presented above is that the elements that characterize the structure of trade do

    influence the rate of economic growth in a significant manner beyond the effects of trade

    openness. The evidence also supports our hypothesis regarding the differences between

    rich and poor countries. While both groups of countries seem to benefit from a greater

    number of trading partners, rich countries appear to benefit more and these benefits (for

    all countries) come mainly from trading with rich countries. Finally, while more trade

    concentration is beneficial in general, it seems to be more significant for poor countries

    than for developed economies.

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    5.1 Robustness of the Empirical Findings: Alternative Specification

    As a first robustness test for our results, we use the alternative econometric

    specification introduced by Feder (1982). Once again, the main modifications are the

    inclusion of the number of countries to which a given country exports to and the HHI

    index as explanatory variables of the economic growth rate. The resulting base

    econometric specification is that presented in equation (3). We should emphasize here

    that the specification presented in equation (3) is based on the argument that the effects of

    trade on economic growth arise from exporting activities, therefore the HHI index used in

    these regressions is computed only using export data for each country.

    Tables 7 presents the results for the whole sample of countries, the poor countries

    sample, and the rich countries sample, respectively. The estimated coefficients for the

    export growth term in Table 7 (all countries) are not statistically significant. At first

    glance, this result seems to be at odds with previous studies that reported a positive and

    significant coefficient for this variable. Noticeably, however, past studies often based

    their main results on samples of poor or less developed countries (including Feder

    (1982), Balasa (1978) and Tyler (1981)). In columns (3) through (6), where we consider

    the two sub samples, poor and rich countries respectively, the results are more similar to

    prior studies. The coefficient for exports growth is positive and significant poor countries,

    while it is negative for rich countries.

    With respect to the effect of the number of trading partners on growth, our previous

    conclusions remained unaltered. The estimated coefficient for the number of rich trading

    partners is mostly positive and significant across the three samples considered, while the

    one for the number of poor trading partners is negative and often insignificant. Thus, the

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    results from this alternative specification also suggest that the benefits of established

    trading relationships on economic growth arise from trade links with rich countries.

    Similarly, the results obtained for the trade concentration match those obtained with

    the original econometric specification to the extent that trade concentration affects

    growth positively. The estimated coefficients for the trade concentration, in this case

    measured by export concentration, on the GDP growth rate are always positive and

    significant.

    5.2 Robustness of the Empirical Findings: Addressing endogeneity

    A separate concern regarding the robustness of our results is that the number of

    trading partners could be contemporaneously correlated with the error term, i.e., presence

    of endogeneity. The logic behind this concern is that as a countrys GDP expands, this

    country will search for other markets in which to sell its products and/or other countries

    will look to establish trading relationships with this country. If this is so, then the results

    presented so far might be biased.

    With respect to the trade structure variables, there are a couple of reasons why we do

    not think endogeneity biases are too severe in our results. First, although one could be

    concerned that the rate of growth of output might influence the rate of growth in the

    number of partners, it does not seem apparent why the rate of growth of output should

    affect the total number of trading partners. We are considering level effects, while the

    endogeneity concern seems more plausible for rate of growth effects. Second, trading

    relationships (and in some cases bilateral trade volumes) are at least partially influenced

    by governments international trade policies; which can be viewed as exogenous.

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    Finally, regarding trade concentration levels, there is no reason to believe that higher or

    lower GDP growth rates could lead to higher or lower trade concentration among trading

    partners. Therefore we do not believe that endogeneity could be an issue when using

    trade concentration variable.

    Still, we make an effort to correct for any potential endogeneity by using Instrumental

    Variables in our previous estimations.As a first step, we perform an OLS regression for

    the whole sample using long run averages (1980-2000) for all variables included in the

    estimation of equation (2). We then compute the IV estimation and compare the results.

    As for our choice of instrumental variables, we use physical access to international waters

    and tropical climate, both obtained from the Sachs and Warner dataset11, and a variable

    for the type of political regime, obtained from Easterly and Lus Global Development

    Network Growth Database12. Geographic and socio-political variables should serve as

    good instruments for the number of trading partners since trade relationships are partly

    determined by geographical characteristics of countries, as well as political relations.

    The results of these estimations for the total sample are presented in columns (1) and

    (2) of Table 8. As mentioned above, the fixed effects approach is preferable to OLS,

    therefore we just use this set of results as a first step in our efforts to address the

    possibility of our results being affected by endogeneity. The results presented in Table 8

    show that the effects of the total number of trading partners are strongly significant for

    both the OLS and the OLS - IV estimation13

    .

    Unfortunately, the instruments used for the OLS regression cannot be used for the

    fixed effects regressions because they do not change over time. Therefore, following

    Bloom et. al. (2004) and Ranis et. al. (2000), we use predetermined but not strictly

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    exogenous variables as instruments for the IV estimation. The predetermined variables

    that are used in the auxiliary regression are the values for the previous period for GDP

    per capita, trade openness, and the number of trading partners. The argument for using

    these variables in the auxiliary regression is that endogneity, if present, emerges because

    an increase in economic growth could result in a higher level of trade and higher number

    of trading partners. Therefore by using the lag values of the number of trading partners,

    GDP per capita, and trade openness as instrumental variables, we break the possible

    contemporaneous effect between economic growth and the number of trading partners.

    This methodology is justified since the correlation between the residuals at time tare not

    correlated with the lagged variables. This approach can also be used for the cases where

    we split the number of trading partners into rich and poor. The only variation is that in

    that case the auxiliary regression uses the lagged value of the number of rich and poor

    trading partners.

    Columns (3)-(8) of Table 8 present the results obtained for the three samples

    considered in the analysis. We present the results for the regressions for which the

    number of trading partners was divided into rich and poor partners, but the same

    conclusions are reached for the case where the total number of trading partners is

    considered. For comparison purposes, columns (3), (5), and (7) report the results for the

    original panel regression for the adjusted sample (i.e. removing the first cross section in

    order to match the time period considered for the IV estimation). Columns (4), (6), and

    (8) report the results for the IV estimation.

    It is clear from the results presented that the conclusions regarding the relevancy of

    the number of rich and poor trading partners for rich countries and the whole sample still

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    hold. A higher number of rich trading partners has a positive effect on the economic

    growth rate for these two samples, while a higher number of poor trading partners has a

    negative effect. Regarding trade concentration, the results show that it affects growth

    positively for the overall sample and the poor countries sub sample, but has a negative

    effect on economic growth for the rich countries. Once again consistent with the original

    results presented in Tables 4 through 6.

    Finally, the results presented in columns (3), (5), and (7) of Table 8 can also be

    used as a robustness check for our original results when these results are compared to

    those presented in column (6) of Tables 4, 5 and 6. In this case the robustness check is

    with respect to the sample period. The results of Table 8 are based on a sample period

    that would correspond to the cross sections of 1985 1989, 1990 1994, and 1995

    1999, while those presented in Tables 4, 5, and 6 also include the cross section of 1980

    1984. When the results are compared across the two sample periods, the signs are the

    same, and the magnitudes and statistical significance are relatively similar. This suggests

    that our results are robust to sample period selection as well.

    6 Conclusions and Future Research

    There are reasons to believe that the structure of trade has significant implications for

    the rate of economic growth. Most empirical studies overlook the conditions under

    which trade takes place and concentrate mostly on trade volumes and measures of

    openness. In this paper, instead of concentrating on the level of trade volumes or the

    degree of openness of an economy, we give attention to the structure of trade as

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    characterized by the number of trading partners a country has, and the concentration of

    trade among those partners.

    We find that the number of trading partners is positively correlated with growth across

    all countries; this effect is greater for rich countries. Trade concentration is positively

    correlated with growth for all countries in general;this effect is mostly attributed to poor

    countries. These results are robust to changes in the econometric specification used, the

    number of explanatory variables included, and corrections for heteroskedasticity.

    In terms of policy, our findings may inform policy makers as well as the international

    community that ponders the benefits of international trade agreements. In particular, our

    findings suggest that high trade concentration, such as is the case for developing

    countries whose trade is concentrated with a major economic power14

    , may not be a

    matter of serious concern.

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    Appendix 1: Variable Definitions

    Real income per capita (GDP): Yearly Gross Domestic Product per-capita, constant

    1995 USA dollars. World Development Indicators (WDI), 2004

    GDP Growth: Annual growth rate of GDP per-capita. WDI, 2004

    Annual population growth (POP): Average annual population growth. WDI, 2004

    Secondary education (SED): Gross Enrollment Rate in secondary schooling. WDI,

    2004

    Investment share of GDP (Investment): Yearly Gross Fixed Capital formation (% of

    GDP). WDI, 2004

    Trade Openness: Total Exports plus Total Imports as percentage of GDP. WDI, 2004

    Government: General government final consumption expenditures (% of GDP). WDI,

    2004

    Number of Trading Partners: Total number of countries with whom a given country

    trades (exporting or importing). Direction of Trade Statistics, IMF 2004

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    Table 1. Trade Trends 1970-2000

    All Countries Europe and USA Latin America Africa

    Trade

    (%GDP)

    Number of

    partners*

    Trade

    (%GDP)

    Number of

    partners*

    Trade

    (%GDP)

    Number of

    partners*

    Trade

    (%GDP)

    Numb

    partn1970-1974 58.30 46.43 65.22 105.54 54.34 38.27 58.96 31.

    1975-1979 68.33 51.38 74.05 109.81 67.88 45.53 67.15 35.

    1980-1984 75.37 52.91 80.36 95.11 76.24 52.83 69.60 38.

    1984-1989 72.06 56.89 78.98 95.58 74.39 57.61 64.78 42.

    1990-1994 78.25 67.71 84.95 112.52 78.69 66.91 68.09 51.

    1995-1999 83.45 85.94 96.08 146.89 79.10 80.36 74.49 64.

    2000-2003 88.52 93.98 108.61 161.49 77.09 87.05 76.47 71.

    * Number of partners = number of countries to whom goods where exported to (IZ)

    Table 2. HHI Trends 1970-2000

    All Countries Europe and USA Latin America Africa

    1970-1974 2201 1131 2273 2216

    1975-1979 1977 986 2419 1927

    1980-1984 1730 979 2289 1626

    1984-1989 1706 999 2316 1446

    1990-1994 1647 1058 2215 1373

    1995-1999 1564 981 2137 1383

    2000-2003 1580 912 2005 1485

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    Table 3. General descriptive statistics (Country-Averages from 1980-200

    GDP Growth

    RateInitia l G DP Population

    Sedondary

    EducationInvestment Trade (%GDP)

    Number of

    Trading

    Partners

    Number of

    Rich Trading

    Partners

    Number of

    Poor Trading

    Partners

    Concentration

    (HHI)

    Weighted

    Exports Growth

    Expo

    Grow

    Mean 0.0096 5,766.9260 1.7912 55.7700 22.1647 77.8120 89.7679 52.0720 37.7468 0.1614 227.9661 6.537

    Maximum 0.3201 45,951.9500 8.7285 146.3200 86.7935 268.8018 198.0000 90.2000 108.4000 0.8190 19,401.8000 691.30

    Minimum -0.4365 49.3231 -5.0608 2.7000 2.5255 2.3515 0.4000 0.2000 0.2000 0.0326 -1,005.1040 -41.12

    Std. Dev. 0.0493 8,762.2910 1.3685 33.2156 8.4763 43.4732 48.0790 21.0372 28.2960 0.1115 891.8052 30.21

    Observations 663 641 780 635 630 651 742 742 742 742 562 563

    Mean 0.0067 812.2830 2.2442 33.0677 21.3017 69.4226 80.7333 48.7260 32.0073 0.1475 150.0608 4.884

    Maximum 0.2982 3,404.7060 7.0285 101.7300 70.6529 231.9663 191.6000 89.6000 102.2000 0.5034 2,459.3360 38.79

    Minimum -0.3250 49.3231 -5.0608 2.7000 2.5255 12.8760 2.0000 1.4000 0.6000 0.0467 -877.5405 -37.00

    Std. Dev. 0.0448 667.4884 1.1238 22.6379 9.3171 36.8659 37.7185 17.8924 20.9598 0.0921 277.5435 8.248

    Observations 276 276 276 249 262 266 273 273 273 273 250 251

    Mean 0.0118 9,513.4510 1.5431 70.4148 22.7790 83.6083 95.0269 54.0196 41.0949 0.1695 290.3903 7.867

    Maximum 0.3201 45,951.9500 8.7285 146.3200 86.7935 268.8018 198.0000 90.2000 108.4000 0.8190 19,401.8000 691.30

    Minimum -0.4365 97.6258 -3.9789 3.2700 6.1789 2.3515 0.4000 0.2000 0.2000 0.0326 -1,005.1040 -41.12

    Std. Dev. 0.0523 10,097.9500 1.4267 30.6325 7.7777 46.6768 52.5151 22.4573 31.3425 0.1208 1,167.9797 39.88

    Observations 387 365 504 386 368 385 469 469 469 469 312 312

    TOTAL TRADE

    ALL COUNTRIES

    POOR COUNTRIES SAMPLE

    RICH COUNTRIES SAMPLE

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    Table 4. Dependent variable: per capita GDP growth (All Countries)

    (1) (2) (3) (4)

    Initial GDP -0.000004 ** -0.000004 * -0.000005 * -0.000005 *

    -2.395678 -2.804989 -2.666757 -3.119962

    Population 0.003804 0.005185 *** 0.004564 0.005933 **

    1.310745 1.736725 1.571616 2.044834

    Secondary Education -0.000434 -0.000489 *** -0.000341 -0.000396

    -1.371912 -1.653094 -1.229374 -1.518711

    Investment 0.001912 * 0.001847 * 0.001929 * 0.001846 *

    4.002104 4.120541 3.990859 4.129383

    Trade Openness (Total Trade to GDP ratio) 0.000041 -0.000018 -0.000024 -0.000076

    0.471501 -0.173721 -0.234321 -0.717285

    Number of Trading Partners 0.000784 * 0.000762 *

    3.686365 4.797275

    Number of Rich Trading Partners

    Number of Poor Trading Partners

    Total Trade HHI 0.122581 ** 0.139734 *

    2.377725 4.369265

    No. Observation 512 506 506 506

    Adj. R squared 0.4417 0.4744 0.4572 0.4862

    (*) 1%, (**) 5%, and (***) 10%, t-statistics in italics.

    ALL COUNTRIES

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    Table 5. Dependent variable: per capita GDP growth (Poor Countries

    (1) (2) (3) (4)

    Initial GDP -0.000051 * -0.000053 * -0.000050 * -0.000052 *

    -4.517157 -4.384735 -4.618537 -4.664286

    Population 0.006432 ** 0.006781 ** 0.007270 * 0.007924 *

    2.240495 2.356131 2.777914 3.082697

    Secondary Education 0.000029 -0.000009 0.000075 0.000026

    0.114332 -0.036045 0.331289 0.115835

    Investment 0.002462 * 0.002493 * 0.002320 * 0.002342 *

    4.027496 4.352627 3.643316 4.010316

    Trade Openness (Total Trade to GDP ratio) 0.000361 ** 0.000327 ** 0.000329 ** 0.000272 ***

    2.464323 2.055764 2.322198 1.651022

    Number of Trading Partners 0.000354 0.000524 **

    1.504774 2.349184

    Number of Rich Trading Partners

    Number of Poor Trading Partners

    Total Trade HHI 0.132831 * 0.154613 *

    5.246587 5.145123

    No. Observation 236 236 236 236

    Adj. R squared 0.4833 0.4848 0.4974 0.5041

    (*) 1%, (**) 5%, and (***) 10%, t-statistics in italics.

    POOR COUNTRIES

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    Table 6. Dependent variable: per capita GDP growth (Rich Countries

    (1) (2) (3) (4)

    Initial GDP -0.000004 ** -0.000004 ** -0.000005 ** -0.000004 **

    -2.026270 -2.216887 -2.162535 -2.308894

    Population -0.002602 -0.002357 -0.002294 -0.002418

    -1.115898 -0.566990 -0.879154 -0.629746

    Secondary Education -0.000670 *** -0.000656 *** -0.000558 *** -0.000553 ***

    -1.722326 -1.845457 -1.654267 -1.710508

    Investment 0.001255 ** 0.001028 0.001412 ** 0.001175 ***

    2.027497 1.616657 2.255940 1.907210

    Trade Openness (Total Trade to GDP ratio) -0.000225 -0.000261 *** -0.000308 *** -0.000322 **

    -1.399505 -1.773236 -1.785954 -2.030919

    Number of Trading Partners 0.000828 * 0.000759 *

    7.434122 9.390180

    Number of Rich Trading Partners

    Number of PoorTrading Partners

    Total Trade HHI 0.078877 0.080765 **

    1.198480 2.341196

    No. Observation 276 270 270 270

    Adj. R squared 0.5069 0.5454 0.5187 0.5473

    (*) 1%, (**) 5%, and (***) 10%, t-statistics in italics.

    RICH COUNTRIES

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    Table 7. Dependent variable: per capita GDP growth (Feders Specificati

    (1) (2) (3) (4)Investment 0.00101 * 0.00056 * 0.00201 * 0.00201

    4.92839 3.78343 8.66811 27.14964

    Population 0.00051 0.00029 0.00817 * 0.00507

    0.14279 0.08281 3.40702 2.19853

    Weighted Exports Growth -0.000011 * 0.000046 *

    -8.06184 7.35430

    Exports Growth -0.00036 * 0.00159

    -34.46021 5.31426

    Number of Rich Trading Partners 0.00222 * 0.00226 * 0.00099 0.00105

    2.76417 2.93876 1.37622 1.41803

    Number of Poor Trading Partners -0.00080 *** -0.00083 *** -0.00010 -0.00010-1.69576 -1.86866 -0.28792 -0.34025

    HHI Index (Exports) 0.04146 ** 0.03918 ** 0.04159 * 0.05265

    2.00007 2.58948 4.66913 4.60104

    Adj. R Squared 0.616174 0.637905 0.547639 0.548540

    Number of observations 529 524 247 247

    (*) 1%, (**) 5%, and (***) 10%, t-statistics in italics.

    All Countries Poor Countries

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    Table 8. Dependent variable: per capita GDP growth (Robustness Regress

    (1) OLS (2) OLS IV (3) Panel (4) Panel IV (5) Panel (6) Panel IV

    Initial GDP - 0. 00 00 00 2 - 0. 00 00 01 1 * * - 0. 00 00 05 0 * - 0. 00 00 05 0 * - 0. 00 00 62 6 * - 0. 00 00 60

    -0.793490 -2.631488 -2.947152 -3.335380 -7.231790 -7.56216

    Population -0.005041 ** -0.002078 0.008261 * 0.008507 * 0.009778 * 0.00964

    -2.552059 -0.799102 3.704539 3.833978 4.953186 4.99662

    Secondary Education -0.000180 ** -0.000051 -0.000163 -0.000234 0.000032 0.00001

    -2.037032 -0.569925 -0.789295 -1.372010 0.084817 0.02828

    Investment 0.001536 * 0.001509 * 0.001513 ** 0.001582 ** 0.001581 ** 0.00157

    4.271307 3.154588 2.139334 1.723113 1.632060 1.65852

    Trade Openness (Total Trade to GDP ratio) 0.000107 ** 0.000192 ** 0.000134 *** 0.000228 0.000273 0.00026

    2.125885 2.167317 1.706251 1.213165 1.373829 1.33338

    Number of Trading Partners 0.000206 * 0.000369 *

    4.441109 2.930752

    Number of Rich Trading Partners 0.002960 * 0.001096 * 0.001269 ** 0.00094

    4.381577 4.243621 1.913360 1.57852

    Number of Poor Trading Partners -0.0014020 * -0.0001860 -0.0000936 0.000247

    -2.670692 -0.351714 -0.495250 0.48218

    Total Trade HHI -0.0132780 -0.0211140 0.0588890 * 0.0878930 * 0 .1 76 33 60 * 0 .1 64 09 7-1.079674 -1.375304 3.806073 3.516244 4.732703 4.08752

    No. Observation 120 91 400 361 180 177

    Adj. R squared 0.4410 0.4016 0.5692 0.4168 0.6177 0.5568

    (*) 1%, (**) 5%, and (***) 10%, t-statistics in italics.

    All Countries Poor Countries

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    1For a more details on this see Edwards (1993), Temple (1999) and Walde and Wood

    (2005) for literature reviews.

    2 Many more are in the works. See the WTO secretariat web link

    http://www.wto.org/english/tratop_e/region_e/regfac_e.htm).

    3 Other authors like Feder (1982) or Matsuyama (1992) have modeled growth in two

    sector models where the exporting sector generates positive externalities for the rest of

    the economy. While these models are different from the one by Romer (1990), the

    intuition behind the effects of trade through the exchange of ideas is similar.

    4 In order to check for the robustness of the results, additional explanatory variables like

    the ratio of government expenditures to GDP or the primary school enrollment were also

    included inCr

    . Including these other variables produced no changes in our results.

    5 Authors like Harrison (1996) and Edwards (1998), however, have argued that most

    measures of trade openness and trade policy used in the literature capture roughly the

    same aspects and could be used interchangeably.

    6 When conducting fixed effects regressions, the variable for the initial income level per-

    capita is the value at the beginning of each five-year period.

    7 When equation (3) is estimated, the data used to calculate this index was limited to

    Export volumes instead of Trade volumes.

    8The exception is the estimated coefficient for column (2) of Table 5.

    9 Throughout the study, gross growth rates were used and the size of the coefficients

    reflects this choice. For example, a one percent growth rate was recorded in the data as

    0.01.

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    10 The descriptive statistics, Table 3, report that the standard deviation of the GDP growth

    rate is equal to 0.044, while that for the HHI index is 0.092. Therefore a one standard

    deviation of the HHI index implies a change of (0.154*0.092)=0.0142, or 1.42

    percentage points, in the GDP growth rate, which is about 0.32 of a standard deviation of

    the dependent variable (0.0142/0.044).

    11Sachs and Warner data set is published on the Center for International Development

    Web site accessible from http://www.cid.harvard.edu/

    12 http://www.worldbank.org/research/growth/GDNdata.htm

    13 The results for the poor and rich country samples are not presented here for matters of

    space, but the conclusions follow those discussed for the overall sample, in other words

    they statistical significance and signs of the relevant variables remain.

    14 Mexicos trade with the U.S., for instance.