Author's personal copy World Development Vol. 38, No. 1, pp. 37–47, 2010 Ó 2009 Elsevier Ltd. All rights reserved 0305-750X/$ - see front matter www.elsevier.com/locate/worlddev doi:10.1016/j.worlddev.2009.06.001 Homogenization and Specialization Effects of International Trade: Are Cultural Goods Exceptional? JESSE CHU-SHORE * Massachusetts Institute of Technology, Cambridge, MA, USA Summary. — In contrast to the logic that international trade leads to greater specialization and differentiation of products, cultural industries are often still protected from imports, in part, because of the worry that trade will lead instead to homogenization. Is this true for cultural goods and if so, is this different from other goods? I consider the effects of homogenization on industrial development, propose a network-based method of identifying homogenization in global trade patterns, and test a range of industries. I find evidence of homogenization in many industries, calling into question a major justification for free trade. Ó 2009 Elsevier Ltd. All rights reserved. Key words — global, world, international trade, cultural industries, homogenization, specialization individual psychic and social life could be unduly shaped by imports, resulting in a loss of local culture. From an economic perspective, influence from imported goods could threaten the unique endowment that a distinct local culture provides to local cultural industries that could be developed and exported for economic gain. The UNESCO convention also appeals to the sense that loss of cultural diversity would be a serious concern at the global scale, as well as for individual countries. This argument—that trade leads to homogenization in cultural industries—appears to contradict the most basic logic of international trade in other industries, that trade engenders specialization. Specialization should support the production of local cultural goods – products in which a given country has a comparative advantage – at least as a first approximation based on the standard logic of trade. My aims in this paper are twofold. First, I wish to evaluate this notion of the homogenizing effects of trade in the cultural industries. Cultural industries are not only socially important, but represent real economic development opportunity, and it is essential to get trade and industrial policy right. In 1998, for example, global sales in recorded music were worth $38.6 billion, and world trade in cultural products in general was estimated at $388 billion, an impressive sum, even taking definitional and measurement difficulties into account (UNESCO, 2006). International trade in cultural goods is important to developed countries that have thriving domestic industries, but it is likely to be even more important to developing countries, for which cultural industries represent a potential leading export sector (e.g., Bourne & Allgrove, 1996; Kozul-Wright & Stanbury, 1998; Pratt, 2004; Scott, 2004). Many developing countries that have weak manufacturing sectors and little prospect of becoming competitive in other rapidly growing industrial sectors such as high tech goods 1. INTRODUCTION Free trade, by providing greater markets and greater competition, is supposed to engender specialization in those industries or products in which a country has a particular endowment or competitive advantage. Free trade is thus thought to lead to a greater variety and higher quality of goods available to consumers across the globe. Despite this, there is much debate as to whether cultural goods, such as movies, books, and music, ought to be given special exemption from international trade agreements, in part because of the fear of homogenization. Since the Uruguay Round of trade talks that led to the creation of the World Trade Organization (WTO), for example, ‘‘audiovisual” products and services that ‘‘typically reflect the social and cultural characteristics of nations and their peoples” (WTO Council for Trade in Services, 1998) have been substantially omitted (even if not officially exempted) from the standard free trade-oriented commitments made by WTO member countries. The United Nations Educational, Scientific and Cultural Organization (UNESCO) has adopted a Convention on the Protection and Promotion of the Diversity of Cultural Expressions that enshrines in an official document the rights of governments to protect domestic culture, cultural expressions, and significantly, cultural goods industries. Although this convention has no mechanism for enforcement, it lends legitimacy to the protection of culture from the influence of foreign trade. Individual countries therefore have considerably more de facto leeway to practice direct protection or provide subsidies to cultural industries than they do with other goods. This special treatment, known as the ‘‘cultural exception” is a contentious issue. Countries that are already significant exporters of cultural goods, such as the United States, have argued that special treatment is unwarranted. Supporting special treatment are countries such as France and Canada, which have expressed concern over the likely loss of their domestic cultures and cultural products due to the influence of imported goods. An important theme in this debate is this concern that international trade would lead to homogenization of local cultures. For individual countries, the meanings, expressions, and values that are conveyed through cultural goods and that shape * Sincere thanks are due to Alice H. Amsden, Michael J. Piore, Frank Levy, Pol Antras, and Christopher Wheat for many helpful comments on earlier drafts of this paper. Many thanks also to Tom Snijders for his help with implementation of the statistical method. Special thanks to four anonymous reviewers for substantial insights and suggestions which greatly improved the paper. All errors and inaccuracies are my own. This research was completed while the author was on a National Science Foundation Graduate Research Fellowship. Final revision accepted: June 8, 2009. 37 Author's personal copy 38 WORLD DEVELOPMENT nonetheless have thriving musical and literary cultures, with abundant human capital and productive ‘‘technology.” It would therefore be a lost opportunity of immense proportions to suppress rather than support nascent cultural industries in developing countries because of wrong-headed trade policy. My second aim is to evaluate this notion that the cultural industries are exceptional. If trade has a homogenizing effect on cultural goods, it may have a homogenizing effect on other goods as well. Specialization implies that everyone gains from trade. A finding of homogenization would not have such an implication and raises some serious concerns about the effects of trade on the development of industry in developing countries. If trade has a homogenizing effect on domestic cultural industries, there are strong arguments to be made for support or protection of domestic producers and products. The welfare of the world’s poorest has been entrusted to this notion of specialization; if there is another side of the effects of trade, it must be understood so that it can be brought into policy decisions to the benefit of all. Although the approach of this paper involves an analysis of the pattern of trade, it is less a trade study than an inquiry into the premises upon which arguments about development are built. I am not seeking to understand the determinants of who exports which products or how much is exported, but rather an aspect of the complementary issue of the effects of trade on domestic industries. Finally, although the questions addressed in this paper are inspired by aspects of the ‘‘cultural exception,” this paper is not directly concerned with the full scope of that debate. Rather, I take it as a starting point for an investigation into the possible homogenizing effects of trade on industrial development more generally. The plan of the rest of the paper is as follows. In Section 2 I review literature on and related to the idea of a homogenizing effect of trade, and how it might affect the development of domestic industries. In Section 3, I propose a method of distinguishing between homogenization and specialization effects by looking at the overall pattern of world trade in individual goods as networks and comparing their characteristic topologies. I argue that certain topological characteristics in cross section are likely to have resulted from a process of homogenization, while others are likely to have resulted from a process of specialization. I evaluate two cultural goods and two uniform commodities and compare the results, finding that the two cultural goods show strong evidence of homogenization effects from trade, while the two uniform commodities show strong evidence of specialization. I go on to test a range of manufactures that are neither uniform commodities nor goods that are exempted from trade agreements on ‘‘cultural” grounds. The results from analyzing trade patterns for these goods describe a spectrum between the extremes represented by the two cultural goods and the two undifferentiated commodities, with most showing significant evidence of trade leading to homogenization. Section 4 examines alternative explanations for the patterns of trade found in Section 3. Finally, Section 5 discusses the implications for policy and further research. 2. DOES TRADE LEAD TO HOMOGENIZATION? (a) Homogenization in the cultural industries It has been observed that in cultural industries, such as television (Lee, 1980) and feature films (Fu, 2006), exports disproportionately originate in a few countries. And in the film industry at least, there is a trend toward increasing concentra- tion. Fu (2006) shows that in the feature film industry, the United States and the United Kingdom have been increasing their shares of international trade in movies, while other countries have been steadily declining. Inquiries into such global market dominance could be classified into three broad categories: imperialistic, purely economic, and diffusion based. Explanations based on media imperialism (e.g., Mattelart & Polan, 1978; Schiller, 1976) emphasize the active role that economic actors in developed countries play in creating and maintaining international trade arrangements that benefit themselves at the expense of those in developing countries. American firms have lobbied for media infrastructure and regulation in trade partner countries that benefits or is compatible with the type of output that they produce, for example (Lee, 1980). In these accounts, homogenization is a negative and intrinsic consequence of international hegemony. Purely economic explanations (e.g., Dupagne & Waterman, 1998; Lee & Waterman, 2007; Wildman & Siwek, 1988) are based on the size of an exporter’s home market. A large home market is an advantage for exporters of cultural goods in part because of economies of scale in distribution of these goods and services. For example, in the production of feature films, most of the cost of production occurs up front in the process of creating the original cut of the film: actor’s and crew member’s wages, equipment, location rentals, editing, scoring, mastering, and so on. Once the original has been produced, unit reproduction costs (i.e., the cost of creating a playable copy from that original) are very low. The more sunk costs of production can be spread over many units, the cheaper each unit can be sold or leased for. Furthermore, the larger the home market, the more specific steps in the production process can be carried out by specialized external contractors, increasing the overall efficiency of the production process. Therefore, the prices of cultural goods originating in large home markets are likely to be lower than the prices of goods from smaller markets. This implies an international division of labor in which, ceteris paribus, the countries with the largest home markets (roughly the large, rich countries) specialize in the production and export of cultural goods. The role of cultural homogenization is more central in diffusion-based accounts of trade in cultural goods. In this tradition, the influence of imported goods on local culture is assumed, but the authors emphasize the agency and independence of consumers in importing countries. People select, adapt, and give new contexts and meanings to the cultural goods they import. The foreign culture does not necessarily overwhelm or displace the local culture as in the imperialistic or home-market based accounts, but rather enriches and informs it, as homogenization co-exists with a process of differentiation. These authors (e.g., Falkenheim, 2000; Pool, 1977), see the emergence of non-US subcenters of television production and export (Telenovelas from Mexico, for example) as evidence supporting this perspective. (b) Homogenization and innovation Moving beyond accounts of trade in cultural goods, the literature on innovation more generally is consistent with a process of homogenization due to trade. Most product innovations occur as incremental changes to an existing set of knowledge. This is to say that innovations in new products depend on older products, or that technological change (or change in the characteristics of goods) is path dependent (e.g., Cohen & Levinthal, 1990). If imports serve as reference points for innovation, it would imply a convergence of domestic and global technological trajectories. Author's personal copy HOMOGENIZATION AND SPECIALIZATION EFFECTS OF INTERNATIONAL TRADE Likewise for consumers, it could be said that taste for current products is shaped in large part by what products each consumer has been exposed to in the past. The diffusion of innovations literature shows that the more similar new products are to what is already known, the more rapidly and extensively they are adopted in the aggregate (Di Benedetto, Calantone, & Zhang, 2003; Haveman, 1993; Rogers, 1995, and references therein). Consumers who have common experiences in consumption of a given type of industrial product therefore have a common set of reference points to which future products can be related. Each individual’s positive or negative impression of any given reference point is of course a personal matter and not necessarily illuminating for analysis at the social level. The sharing of common reference points within an aggregate population of consumers is enough to suggest that new products related to those reference points have an increased probability of diffusing widely through that population, that is, that there is a large potential market for such related goods. Trade between two countries in a given industry generates common experience in relation to which new products are created and consumed. This is my interpretation of the finding of the homogenizing effect of trade. Homogenization does not mean that exactly the same products are produced in multiple places, but rather that the product reference points that shape future rounds of production converge over time for countries engaged in trade with each other. Homogenization also implies that not only does the extent of the market affect the possibilities for trade, but trade itself affects the extent of the market. Specialization, on the other hand, could only meaningfully be said to occur among countries that already share product reference points to some degree, in other words, among markets with consistent definitions of what is demanded. Specialization implies that given a set of reference points, the products of one country relate to those reference points in a particular way that is of value to domestic and foreign consumers and is different from products exported by other countries. Specialization is sustainable when the specializing country has some particular advantage in producing that variety of product. (c) Is homogenization good or bad? In effect, the idea of free trade assumes a homogenous world in which the potential export market for any given good is the set of countries with consumers able to afford that good. In this assumption, there is no theoretical place for a process of homogenization. However, the results of this study provide evidence of such a process, which must therefore be accounted for in industrial policy. For industries such as books and music recordings, there are obvious arguments to be made about why countries may wish to protect local industries by limiting the imports of foreign products. However, even for industries which are not obviously ‘‘cultural” there are nonetheless reasons to think that homogenization may not necessarily be good. There have been many challenges to the idea that free trade is universally beneficial. The traditions of dependency and world systems theory argue that trade forces industries in developing countries to assume peripheral and dependent roles relative to the markets of developed countries. (Amin, 1974; Wallerstein, 1975). This peripheral role strictly limits the degree to which such countries can capture the gains from trade. An alternative view, suggests that the integration of domestic industries with the demands of foreign markets was essential 39 to the export led-growth of the East Asian Economies (e.g., Amsden, 1979; Amsden, 2001). Among the major themes of this literature is that technological knowledge is not easily gained, even if consumers can adapt and come to like new products easily. If trade changes what is demanded by consumers faster than domestic industry can accumulate new productive knowledge, then trade in new products puts foreign producers (who already produce these products) ahead of the producers in the importing country. Therefore, developing countries would be wise to implement policies to protect unique goods or capabilities in the context of foreign trade. There is also the possibility that homogenization could prevent countries from developing their own, unique products which they could go on to export for economic gain, without having to play industrial catch-up. Differences between the products of one nation and those of another could occur by specializing in relation to shared reference points, or it could occur due to a difference in reference points in the first place. Homogenization implies that the latter type of differentiation would not occur, and thus would prevent one way in which a country could develop a novel endowment in a given industry. Admittedly for many industries, another word for homogenization could be ‘‘standardization.” One could also think of homogenization as an analog to standardization in the domain of tacit, rather than explicit knowledge. The impact of a foreign standard on domestic development is complex. On the one hand, the arrival of a foreign standard requires the domestic industry to catch up with the technological capabilities of the country which exports the goods to which the standard applies. Investments in technologies which do not conform to the new standard may be rendered valueless in the transition (Farrell & Saloner, 1986; Katz & Shapiro, 1992). However, the flip side of the necessity to catch up and keep pace with foreign standards is the increased opportunity for technological learning from abroad. Standards can allow for easier international technological transfer and partnerships. The impact of foreign standards on developing countries depends therefore on the competitive assets of domestic firms relative to the global market (Ratanawaraha, 2006). While explicit standards can be negotiated with foreign actors by firms and governments to maximize developmental benefits (learning) and minimize costs (loss of non-conforming sunk investments), tacit homogenization of technology and products is more difficult. The implication is that for countries with significant technological assets, for example, in cultural or other consumer goods, homogenization could put domestic industries into an inferior position relative to global competitors. At the global scale, standardization could have a beneficial effect on economic growth if it allows innovations in different countries to be complementary to each other, rather than redundant or mutually irrelevant. However, standardization taken to the extreme could theoretically lead to technological, organizational, or institutional ‘‘lock-in,” in which innovation is limited by overinvestment in existing standards and/or homogeneity of perspectives and experience on the part of innovators and firms (Olson, 1982). Limiting innovation would almost certainly limit possibilities for future economic growth. This is to say that whether or not standardization or homogenization is good for any particular country or set of countries, it could be a negative for all countries if it progresses too far at the global scale. A process of homogenization implies a tension between positive and negative economic consequences: homogenization could prevent a country from developing unique technology or products, and yet could open up potential export markets Author's personal copy 40 WORLD DEVELOPMENT by aligning domestic products with what is demanded in foreign markets. As these consequences rely on technological change over time, they would invite dynamic, rather than static policy responses. In existing accounts of trade, however, homogenization is either assumed or assumed away. The status of this assumption dictates to a large extent the type of policy conclusions that can be drawn from the research. To my knowledge, the literature lacks a broad-based empirical test of this critical assumption. 3. METHODS, DATA, AND TESTS (a) Testing for homogenization and specialization effects (i) Testing for homogenization effects To test the hypothesis that trade has a homogenizing effect, it must first be made operational. To that end, I begin by asking what we would expect to observe if trade had a homogenizing effect. If imports influence domestic technology and/ or taste, then the result would be that countries that traded with each other would become more similar in these dimensions for the good being traded. I assume for now that for a trade tie to exist, what is produced and exported by the exporting country (roughly, the technology) must be somehow compatible with what is expected or demanded by the importing country (the taste). It cannot be inferred from the pattern of trade ties what is being produced, of course, so the meaning of ‘‘similar” here is only that there is some correspondence between product and market across the countries in question. Two countries engaged in bilateral trade are in this broad sense ‘‘similar,” but could be producing very different goods that are nonetheless compatible with each other’s markets. A lack of a trade tie does not necessarily imply dissimilarity, however, unless other barriers to trade such as geographic distance are accounted for. Looking beyond bilateral trade to larger patterns suggests a method of testing for homogenizing effects of trade. Let i, j, and k represent three arbitrary countries selected from the set of countries that engages in international trade in a given good. If i exports to j, then i and j must be somewhat similar. If j also exports to k, then j and k must be similar. If i is similar to j, which is similar in turn to k, then i ought to be similar to k. I therefore expect to observe a greater than random prevalence of links (i, k), given the existence of links (i, j) and (j, k). In other words, I expect to observe transitive triads such as the left side of Figure 1. Similarities in other dimensions than technology and taste could also lead to a finding of transitive triads in trade patterns. In the presence of transportation costs, geographically similar (i.e., proximate) countries are more likely to trade with each other and less likely to trade with distant countries. At the network level, this could result in trade flows among near- Figure 1. Structures hypothesized to occur at a greater than random rate in trade in cultural goods (left) and ordinary goods (right). by countries forming a number of transitive triads. It is therefore necessary to control for exogenous sources of similarity before making inferences about the effects of trade itself. Taken alone, of course, a finding of a significant transitivity effect in trade patterns cannot be attributed to similarity in technology and/or taste, however plausible that seems. A more credible test would involve a comparison between industries in which we a priori believe trade to be shaped by similarities and differences in technology and taste, that is, cultural industries, against industries in which we firmly believe technology and taste are irrelevant to trade, such as uniform commodities. If trade patterns for cultural goods exhibit a significant tendency to transitivity after controlling for exogenous factors, whereas uniform commodities do not show this tendency, we can provisionally see evidence of similarity in technology and/or taste as the factor which leads to this outcome. I will therefore examine patterns of trade for two cultural goods, books and sound recordings, and two uniform commodities, anthracite and unmilled corn. The testable versions of the first hypothesis are therefore: H1a: World trade patterns in books and sound recordings exhibit a transitivity effect. H1b: World trade patterns in anthracite and unmilled corn exhibit a transitivity effect. I expect to find support for H1a, and not for H1b. (ii) Testing for specialization effects Unlike cultural goods, which could be described heuristically as highly varied and constantly changing, ordinary goods are well-defined commodities, in which any country might trade under standard market assumptions. I therefore expect to see exports of ordinary goods originating in a relatively small number of countries that specialize in production of each good because of some sort of advantage or endowment. In terms of trade network structure, this would be described by the variable representing ‘‘out-stars” such as the right-hand side of Figure 1. The estimated parameter for the out-star variable captures the degree to which the origins of export flows are concentrated in relatively few countries. An insignificant out-star parameter would indicate that there is no such tendency beyond that explained by other variables. H1c: World trade patterns in books and sound recordings exhibit an ‘‘out-star” effect. H1d: World trade patterns in anthracite and unmilled corn exhibit an ‘‘out-star” effect. I expect to find support for H1d, and not for H1c. (iii) Testing for homogenization in other goods There were a priori reasons to believe that trade flows of obviously cultural goods, such as music, would exhibit transitivity. But which other goods would this kind of logic apply to? So far I have described cultural goods as having technology and taste characteristics which vary across countries and which cannot be evaluated with objective quality measures. Contrasting with this is the purely utilitarian, readily measurable quality characteristics and global market viability of ordinary goods such as, say, coal. But between these extremes there must be goods with a mix of cultural and utilitarian qualities. Allen Scott, a veteran analyst of cultural industries, describes an ‘‘unbroken continuum of sectors” from the cultural to the utilitarian (Scott, 2004). I therefore expect to reject the hypothesis implicit in free trade agreements: H1e: Other goods do not exhibit transitivity effects. I test hypothesis H1e in the analyses of the networks defined by international trade flows in furniture, sound recordings, sewing machines, cutlery, passenger vehicles, shoes (leather, Author's personal copy HOMOGENIZATION AND SPECIALIZATION EFFECTS OF INTERNATIONAL TRADE rubber, or plastic sole), wine, color TVs, butter, unmilled corn, gas generators, and parts thereof, anthracite, cargo ships (excluding tankers), and iron and steel bars and ingots. Examining differentiated goods raises the issue of intraindustry trade, which is described by the ‘‘new” trade theory (Krugman, 1980). Both old and new trade theories should predict a finding of out-stars characterizing network structure. In old trade theory, countries specialize in producing and exporting those goods in which they have a comparative advantage or endowment, and other countries import them. In new trade theory, countries might specialize in producing an individual variety of a good. In this case, a given country might be both an exporter and an importer of goods in a certain industry. But each exporting country would likely export its specialized output to a number of other countries. At the network level, this would amount to a structural tendency to out-stars as well, with the only difference being that these exporting countries also have incoming trade flows. (b) Exponential random graph model (ERGM) analysis in StOCNET (i) The model The hypothesis tests that I propose are not so much about the level of trade or even which countries are exporters so much as the structure of the larger patterns of trade. That is, the hypotheses describe network-level effects and thus must be tested with network-based tools, rather than the standard approach to studying bilateral international trade, which is the gravity model. The gravity model’s history of empirical success does provide some guidance in terms of explanatory variables to include in a network-based investigation, however. The standard version of the model relates the level of bilateral trade to the combined economic ‘‘masses” (GDPs) of a pair of countries, and a term representing ‘‘gravity” by the inverse of the great circle distances separating them. It is also customary to include dummies for common language, colonial past, and contiguity of borders. Because the observations are hypotheses concern larger structures than bilateral relationships, candidate models are essentially limited to those from drawn from the network analysis literature. Among these, the most appropriate set of tools in network analysis for testing hypotheses about structural effects are the exponential random graph models (ERGMs), also known as p* models. These have been developed in the context of social network analysis to estimate structural statistics for networks without the independence assumption that is a principal feature of standard statistical approaches (Frank & Strauss, 1986; Pattison & Wasserman, 1999; Snijders, 2002; Snijders, Pattison, Robins, & Handcock, 2006; Wasserman & Pattison, 1996). Indeed the hypotheses I wish to test are premised on the idea that individual observations (the presence or absence of a trade tie) are actually dependent in some way or ways on certain other observed ties. This method grew out of the literature on the social networks of individuals, and most empirical applications have been in related settings. For example, Thurner and Binder (2008) apply it to an analysis of the influence of informal networks on formal networks in the context of international relationships among political actors. However, its use is indicated in any setting in which the units of analysis are relationships among actors (such as the trade flows between countries), when there is reason to believe that the relationships are dependent on each other. As a statistical method, it has been applied beyond social networks as well Guo, Fu, and Xing (2007) study networks of gene expressions in fruit flies, for example. 41 The papers by Anderson, Wasserman, and Crouch (1999) and Robins, Pattison, Kalish, and Lusher (2007) are good introductions to this analytic method, and the following overview is largely a summary of the salient points from these two sources that are important for the present context. The basic premise of the approach is that the observed network (of trade ties, in this case) is one realization of a stochastic process, which is to be modeled. The same stochastic process could have generated a different pattern of ties, but any such instance of the generating process would have structural characteristics in common, even if the exact pattern of ties differed. This set of possible networks is described as a probability distribution, with the exact probability of a given configuration of ties depending on the parameters in the model that describes the stochastic process. The maximum likelihood approach to estimating the parameters of the stochastic process results in a model in which the observed network has the highest probability of occurring. These models consist of a family of probability functions, P h fY ¼ yg ¼ expðh0 uðyÞ wðhÞÞ ð1Þ where y is the observed set of ties defining an adjacency matrix representing the network being modeled, h is a vector of parameters, u(y) is a vector of sufficient statistics of the graph or digraph, and w(h) is a normalizing constant, ensuring that the probabilities of all possible graph configurations sum to one (Snijders et al., 2006). Estimation of structural parameters—those that involve dependencies between one random variable (one tie between two nodes, or in terms of the present paper, a trade flow from one country to another) and the state of other random variables (trade flows) involves complications unfamiliar in ordinary regression models. Early approaches (Frank & Strauss, 1986; Wasserman & Pattison, 1996) were based on a pseudologlikelihood approach. Although models constructed in this fashion could be practically estimated using any logistic regression software after preparing the data appropriately, the statistical properties of the resulting estimator are not well understood for random graph models, and the value of its standard errors is questionable (Snijders, 2002). Snijders (2002) therefore elaborated a Monte Carlo simulation method of arriving at maximum likelihood parameter estimates, with the corresponding well-understood t-statistics. Snijders’ method has been implemented in the computer program SIENA, which is a component of the network analysis platform StOCNET (Snijders, Steglich, Schweinberger, & Huisman, 2007). In addition to the structural parameters, SIENA can accommodate independent variables in the form of attributes of individual nodes and dyadic covariates. A technical difficulty with the estimation of ERGMs is that for many specifications, much of the parameter space can be degenerate—that is, producing simulated networks that are either empty or maximally connected. This can prevent convergence of the estimation algorithm. This is a particular problem in estimating a parameter for transitive triads, which we are especially interested in. For example, in a simulated network, if the presence of a given tie would lead to the completion of three transitive triads, then the log-odds of that tie being present increases by three times the estimated parameter. The presence of this tie further increases the number of transitive triads that would be completed by other ties as the simulation process continues, leading to a large increase in the likelihood of their inclusion in the simulated network, and so on until all possible ties are predicted. One tactic is to estimate models conditional on the total Author's personal copy 42 WORLD DEVELOPMENT number of ties in the observed network. This can lead to greater success in parameter estimation, but there are still many data sets for which satisfactory estimates cannot be obtained. Therefore Snijders et al. (2006) have developed alternative statistics for estimating these models. The basic idea is that geometrically decreasing weights are put on larger numbers of triads that would be completed by a given tie. This has the effect of attenuating the tendency to cascade into a maximally connected network and reduce the degenerate areas of the parameter space. Several structural effects are better estimated with this type of specification. All these are denoted (for reasons explained in Snijders et al. (2006)) by the prefix ‘‘Alternating.” (ii) Model parameters The principal structural parameters of interest are those for transitivity, denoted by ‘‘alternating k-triangles” and the competing tendency for exports to originate in a few countries, denoted by ‘‘alternating out-stars.” Three other effects were added to the model as structural control variables. The reciprocity effect captures the increased tendency for i to export to j conditional on j exporting to i. The ‘‘alternating in-star” effect represents the tendency for certain countries to import from a large number of other countries. The ‘‘alternating two-path” effect represents a pattern of exporting from one country to a second, and the second to the third. As such it could be thought of as a ‘‘precondition” to transitivity (Snijders et al., 2007), or a tendency to a directed, hierarchical network structure. The parameter estimate for reciprocity may seem like another variable of interest for studying homogenizing effects in trade. However, it depends on reciprocal market demand and the presence of a developed industry capable of exporting in both countries. It may even in certain circumstances capture information about the different status characteristics of both countries’ exports. In other words, a deeper substantive interpretation of the reciprocity parameter in this context is probably unwarranted without further study. Independent covariates included in the model are the product of GDPs, inverse of great circle distances between national capitals, the presence of a common language spoken by greater than 9% of both countries’ populations, a present or past colonial relation, and contiguity of borders. To control for non-homothetic preferences, I also included effects for GDP per capita in the exporting and importing countries, but because they did not substantively affect outcomes, they were ultimately excluded from the final model. (c) Data and data preparation I use reports of the values of exports in the year 2005 from the United Nations Commodity Trade Database (COMTRADE). For these data, the value of an export flow is reported by each exporting country in United States dollars in free on board (FOB) terms, which includes costs of the exported goods and the costs incurred in getting them to the country’s border, but excludes shipping and insurance costs incurred in transporting them to the destination country. Re-exports, which are goods that merely pass through a country’s jurisdiction without having being produced there, are typically reported as part of exports. However, because my aim is to study domestic production and technology, I have subtracted re-exports from exports wherever they have been reported to arrive at a figure for net exports, which includes only goods originally shipped from the origin country. Other authors have tended to prefer to use imports, rather than exports as the source of data on trade flows for reasons of accuracy, but this approach would not allow the subtraction of re-exports, which I deemed to be the more significant distortion of the data for the present study. Weight data are not reported by some countries and were therefore not an option for this analysis. I define the presence of a directed trade flow dichotomously—a flow is coded with a one if it is present or a zero if it is absent or extremely small. Trade flows from exporting countries are added to the network and coded as existing in the descending order of total value. Starting with the largest reported flow, trade flows are added to the network until 95% of the global total of reported trade has been represented in the network. The smallest trade flows, which are large in number, but together total less than five percent of total reported world trade in that commodity are omitted from the network. This has the analytical value of omitting the ‘‘long tail” of the distribution of trade flow magnitudes and focuses on those flows that are of significant size. Dichotomous coding strips the dependent variable of some information. However, for goods that are traded in part in the form of designs or licenses, rather than physical products, the reported level of trade may be quite inaccurate in any case. Dichotomous coding thus allows for easier comparisons across goods. To further achieve comparability across various commodities, I used the same reference set of 156 countries for each trade network. This has the advantage of defining a population of countries under study that may or may not be engaged in trade in a given commodity. However, for most goods, there are a large number of countries that do not engage in trade. Including non-trading countries introduces many zeros into the data matrix representing the trade network, and results in much greater computing time for each network under study—anywhere from a few hours to a few days per network. Goods for which the top 95% of trade is concentrated in an especially small number of trade flows could not be analyzed because the iterative estimation algorithm could not converge on stable parameter estimates. With a smaller reference group of countries, such as the industrialized countries, these omitted goods could be studied in the same manner. Non-structural independent variables are implemented as dyadic covariates, with one value for each pair of countries. For historical reasons, the StOCNET platform only accepts integer values between 0 and 255 for dyadic covariates. The original data were thus normalized to a maximum value of 255, and rounded to the nearest integer to accommodate this limitation. Because the dependent variable is dichotomous, however, it is extremely unlikely that this transformation affected the analysis in any significant way. Finally, dyadic covariates are centered by subtracting the mean. (d) Results The estimated magnitudes of the parameters for the transitivity effect and the out-star effect are plotted in Figure 2. A full table of estimated parameters, t-statistics, and effect magnitudes for all model effects is reported in Appendix. Effect magnitudes represent the increased likelihood of observing a tie in the presence of a one unit increase in dummy and structural variables, or a two-standard deviation increase for continuous explanatory variables. As expected, there are very large transitivity effects for the two cultural goods and very small ones for the two commodities. I therefore reject H1b. Conversely, there are very large out-star effects for the two commodities and very small ones for the two cultural industries. I therefore reject H1c. For the range of other goods, we see a continuum between the high Author's personal copy HOMOGENIZATION AND SPECIALIZATION EFFECTS OF INTERNATIONAL TRADE 43 each model. Although the other variables do produce a considerable incidental transitivity effect, it is much lower than the actual trade patterns exhibit. (c) Controlling for omitted exogenous sources of similarity Figure 2. Trade network Structure, various commodities. specialization uniform commodities and the high-transitivity cultural goods. In other words, although trade policy treats manufactures in the same way as uniform commodities, their patterns of trade are not necessarily similar. I reject H1e and find evidence a mismatch between policy and empirical reality for trade in a wide range of ordinary goods: trade leads to homogenization. 4. IS TRANSITIVITY ENDOGENOUS TO THE TRADE NETWORK? (a) Hypotheses To support the idea that trade leads to homogenization of technology and taste, it remains to be shown that the transitivity effect of section II is endogenous to the network and not the result of some other process. In other words, we must distinguish between the following hypotheses: Exogenous hypothesis: H2a: the observed tendency to transitivity is a result of similarities between countries that are exogenous to the process of trade. Endogenous hypothesis: H2b: the observed tendency to transitivity is a result of similarities between countries that are caused by trade itself. In this section, I provide several exhibits that support an endogenous explanation of transitivity in trade networks. (b) Specification test The variables in the original model which derive from the standard specification for gravity models capture directly or are proxies for the most obvious explanations for exogenous similarities that could produce transitive trade patterns. The variables for colonial ties and common language capture significant historical sources of cultural similarities, as well as the resultant present day ease or frequency of international exchange. The gravity and contiguity variables capture spatial similarity, and the product of GDPs captures, to an extent, economic similarity. It is conceivable, therefore, that the transitivity parameter is spuriously picking up transitivity that should have been explained by the exogenous explanatory variables. I re-ran the estimation process with the transitivity parameter fixed to zero and subsequently compared the resulting model to the observed network to evaluate if this was the case. Table 1 reports the result of modeling trade in music without the alternating k-triangles parameter. Observed values are compared with a distribution of simulated networks for Having found that there is more transitivity in patterns of trade than can be accounted for by the independent variables in the model, it nonetheless remains possible that this excess transitivity could be due to some omitted exogenous explanatory variable. Although it is impractical and inadvisable to test a large number of explanatory variables for which we have no prior reason to include in the model, we can still seek evidence of omitted variables in general. If there is some important exogenous source of similarity in technology and taste, then it ought to affect trade in more than one narrowly defined industry. If this is the case, there should be correspondence between specific ties that form transitive triads in multiple industries. If there is no such correspondence, then we must conclude that either each specific has a unique, unobserved, exogenous source of similarity (not a very plausible story), or that the source of similarity is endogenous to the process of trade. Although questionable as a true model of trade, we could use one trade network as a control variable in a model of another trade network. In practice, this means including an independent dyadic covariate matrix, coded as ‘‘1” for all ties present in the ‘‘control” network and ‘‘0” otherwise. For example, in an analysis of trade in sound recordings, we could include the trade network defined by the sum of trade in all goods in the COMTRADE database as a test of dimensions of similarity not captured by the control variables already in the model. We could also posit that an unobserved exogenous socio-cultural similarity between countries is more likely to affect trade in cultural goods than in other goods. To test this possibility, we could include the trade network of one cultural good as a control variable to proxy for such an unobserved similarity in the analysis of another. Returning to music, we could include trade in books as such a control variable (Table 2). In both cases, the parameter for transitivity is moderately lower than that in the original model, more so for the implementation of books as a proxy for exogenous difference than for the use of the total trade network. This suggests that there is some unobserved factor which is correlated with the transitivity parameter. Still, even after controlling for unobserved variables, the magnitude of the transitivity effect is statistically significant and very high compared to, say, the original estimates for coal, corn, or cargo ships. I therefore maintain a high level of suspicion that transitivity is in large part due to an endogenous process of trade itself. (d) An exceptional case: antiques Intuitively, I would expect antiques to fall on the cultural goods side of the spectrum, because they are extremely differentiated and their value does not stem from universally held functional criteria. However, they are an interesting test case because the technology used to produce them could not be influenced by present-day imports because the producers are all dead. They are thus unconcerned by changes in fashion and also immune from subconscious influences. Still, if the exogenous hypothesis for explaining transitivity in trade patterns were correct, we would expect trade in antiques to exhibit transitivity strongly. It does not. In fact, this is the only good I analyzed, other than iron and steel puddled bars and ingots, that had an insignificant estimate for the transitivity parameter. Interestingly, trade in antiques also Author's personal copy 44 WORLD DEVELOPMENT Table 1. Effect of fixing transitivity parameter to zero Structural measure Observed data Number of mutuals Alternating Out Stars Alternating In Stars Alternating k-triangles Alternating 2-paths Number of ties gravity Number of ties colony Number of ties common language Number of ties contiguous Number of ties GDP product Original model t-stat. for fit Mean of sim. networks t-stat. for fit 129.16 894.45 779.14 905.02 3677.66 4131.23 46.57 49.32 56.09 4631.85 0.285 0.154 0.073 0.009 0.123 0.327 0.026 0.098 0.23 0.077 131.95 891.16 779.07 784.12 3703.63 4299.48 46.23 53.67 57.75 4626.67 0.129 0.277 0.088 4.1568 0.0528 0.075 0.044 0.21 0.009 0.107 131 893.2 780.02 904.89 3696.57 4345.25 46.46 50.98 57.81 4640.99 Table 2. Using other trade networks to control for omitted exogenous sources of transitivity on trade in music Parameter Trade in books All trade Reciprocity A. Out stars A. In stars A. k-triangles A. 2-paths Gravity Colony Language Contiguous Product of GDPs Estimate S.E. 2.0702 0.1533 0.7826 0.9865 0.1081 1.1718 0.002 0.0166 0.1789 0.3202 0.0562 0.0867 0.2178 0.2023 0.1909 0.1656 0.0097 0.0037 0.2849 0.1489 0.2605 0.0158 Fixing transitivity parameter to zero Mean of sim. networks Estimate S.E. 2.2321 0.7864 0.7991 0.431 1.3423 0.011 0.022 0.4849 0.8725 0.0253 0.0556 0.2109 0.2087 0.2012 0.197 0.1723 0.0097 0.0033 0.244 0.1289 0.2409 0.0133 exhibits the strongest tendency to out-stars of any good analyzed (Figure 3). In sum, while it is not possible to conclusively reject the exogenous hypothesis for the origin of transitivity in trade networks, I have endeavored to show in this section with these three tests that the most plausible story is the endogenous one. 5. DISCUSSION AND IMPLICATIONS FOR FURTHER RESEARCH (a) Summary The principal empirical finding of this paper is that transitivity is a feature of international trade patterns. This is not ex- plained by the dominant perspective that trade leads to economic gains through specialization, but it is consistent with the idea that trade leads to homogenization of technology and/or taste. For countries which produce distinctive or unique goods, but are not already international leaders in exporting these goods, this finding supports the idea that policies must be enacted to counter the homogenizing effect of trade. What form these policies should take is a matter for future research. The other major empirical finding of the present study is that patterns of trade for individual industries range dramatically from extremes defined by cultural goods on the one hand to uniform commodities on the other hand. The broader implication of these findings is that international trade policy is based on an incomplete theory of the effects of trade. In this final section, I discuss the findings and speculate on their implications, with the intention of suggesting propositions to be examined in future research. (b) Transitivity is a feature of trade networks Higher degrees of transitivity characterize those goods that we a priori consider to be ‘‘cultural.” But every good examined, except for antiques (a special case) and iron and steel bars and ingots, exhibited a significant tendency to transitivity. The interpretation of this is not so much that cultural goods are like ordinary goods, but rather that we should systematically revise our picture of all industries to include effects we only expected in cultural goods. To take a small example, the gravity model is the empirical benchmark for explaining trade, but it does not account for structures of interdependency within the trade network. Rather, it makes the standard assumption that all variables with explanatory power are exogenous to the trade network. The results presented here suggest that endogenous effects—probably through channels of technology and taste—may in fact be extremely important to modeling trade—not only in cultural goods industries, but in most other industries as well. (c) The cultural industries as a model Figure 3. An exceptional case: network structure for trade in antiques. The cultural industries have been considered difficult to analyze with traditional economic methods. Perhaps this is because, with their high semiotic content, they are the furthest away from the classical origins of economic analysis: uniform, mass produced goods. Indeed, this paper began by asking if the cultural industries were an exception to the basic theory of international trade and finished by using them as an example for the types of questions that could be asked more generally. Cultural industries bring to the fore issues of Author's personal copy HOMOGENIZATION AND SPECIALIZATION EFFECTS OF INTERNATIONAL TRADE consumption, prior reference points, definitions of, and conventions structuring what is demanded that vary across social units of analysis. To better understand them it becomes necessary to consider large-scale patterns of human interaction explicitly, an analytical approach that is likely to serve us well in studying other phenomena in today’s increasingly connected world. I believe that in this era of knowledge- and information-based economic development rather than being considered the most irregular, the cultural industries could instead become a new best example and an alternative pole to uniform commodities in development studies, which could illuminate many obscure and complex mysteries of the development of economies in general. (d) Conclusion 45 for exempting them from free trade commitments. Perhaps more fundamentally, I found that cultural goods are not exceptional in this way, and that many other ordinary goods reveal this sort of ‘‘cultural” pattern of trade by demonstrating evidence of a strong homogenization effect. The presence of such an effect implies that trade liberalization is not necessarily good for everyone, and that there are winners and losers. Admittedly, the findings here beg for much additional research before we can fully understand the implications of homogenization from trade on development. For now, however, I will say that at the least, if products and technologies that are unique to a given country are of any value, then that country should seek to support and protect them from the homogenizing influence of trade, even where there is no ‘‘infant industry” justification for such protection. I have found strong evidence that trade has a homogenizing effect for cultural goods and therefore empirical justification REFERENCES Anderson, C. 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WTO document 98-2437 www.wto.org/english/tratop_e/serv_e/w40.doc. Author's personal copy 46 WORLD DEVELOPMENT APPENDIX A ESTIMATED PARAMETERS FOR ERGM TRANSITIVITY ANALYSIS—VARIOUS GOODS Reciprocity A. Out stars Books Parameter estimates Standard errors t ratios Size of effect A. In stars A. k-triangles A. 2-paths Gravity Colony Language Contiguous Product of GDPs 1.0843 0.1931 5.6152 2.9574 1.0122 0.1690 5.9893 2.7516 0.6058 0.1376 4.4026 0.5456 1.7624 0.1331 13.2412 5.8264 0.0005 0.0051 0.0980 0.0177 0.0026 6.8077 1.3043 1.9752 0.1872 10.5513 7.2081 0.6261 0.0606 10.3317 1.8703 1.2174 0.1608 7.5709 3.3784 0.1322 0.0162 8.1605 2.8233 Furniture Parameter estimates Standard errors t ratios Size of effect 0.2347 0.1863 1.2598 0.7962 0.1715 4.6426 2.2171 0.0837 0.1537 0.5446 1.7430 0.1535 11.3550 5.7145 0.0050 0.0100 0.5000 0.0148 0.0031 4.7742 1.2487 0.5793 0.2054 2.8204 1.7848 0.2476 0.1464 1.6913 1.1388 0.1799 6.3302 3.1230 0.0650 0.0095 6.8421 1.6658 Sound recordings Parameter estimates Standard Errors t ratios Size of effect Sewing machines 0.9572 0.1955 4.8962 2.6044 0.9672 0.1862 5.1944 2.6306 0.1846 0.1663 1.1100 1.6535 0.1624 10.1817 5.2252 0.0048 0.0086 0.5581 0.0189 0.0026 7.2692 1.3280 0.8173 0.2292 3.5659 2.2644 0.4775 0.0853 5.5979 1.6120 0.6195 0.2360 2.6250 1.8580 0.1154 0.0144 8.0139 2.4744 Parameter estimates Standard errors t ratios Size of effect 1.0266 0.2815 3.6469 0.3582 1.0908 0.1518 7.1858 2.9767 0.3897 0.1237 3.1504 0.6773 1.5885 0.1234 12.8728 4.8964 0.0234 0.0121 1.9339 0.0101 0.0030 3.3667 1.1637 0.3479 0.2923 1.1902 0.2998 0.1167 2.5690 1.3496 1.3704 0.2125 6.4489 3.9369 0.0399 0.0071 5.6197 1.3679 Cutlery Parameter estimates Standard errors t ratios Size of effect 0.0624 0.2105 0.2964 1.1691 0.1692 6.9096 3.2191 0.3414 0.1328 2.5708 0.7108 1.5470 0.1233 12.5466 4.6974 0.0028 0.0080 0.3500 0.0109 0.0025 4.3600 1.1777 0.4102 0.2088 1.9646 0.3648 0.0860 4.2419 1.4402 1.5511 0.1832 8.4667 4.7167 0.0938 0.0131 7.1603 2.0885 0.6300 0.2232 2.8226 1.8776 1.2888 0.1991 6.4731 3.6284 0.0338 0.1676 0.2017 1.4557 0.1618 8.9969 4.2875 0.0147 0.0165 0.8909 0.0095 0.0028 3.3929 1.1533 0.2260 0.3155 0.7163 0.0685 0.1375 0.4982 0.8566 0.1927 4.4453 2.3551 0.0393 0.0067 5.8657 1.3614 0.1486 0.2109 0.7046 0.9843 0.1631 6.0349 2.6759 0.1808 0.1522 1.1879 1.3999 0.1343 10.4237 4.0548 0.0118 0.0149 0.7919 0.0079 0.0024 3.2917 1.1259 0.3048 0.2522 1.2086 0.2895 0.0767 3.7744 1.3358 1.3185 0.1694 7.7834 3.7378 0.0226 0.0049 4.6122 1.1941 0.0067 0.2094 0.0320 0.9189 0.1393 6.5966 2.5065 0.3408 0.1315 2.5916 1.4061 1.2094 0.1118 10.8175 3.3515 0.0287 0.0124 2.3145 0.9717 0.0102 0.0025 4.0800 1.1654 0.8024 0.2357 3.4043 2.2309 0.2581 0.0863 2.9907 1.2945 0.8987 0.1892 4.7500 2.4564 0.0404 0.0072 5.6111 1.3733 Wine Parameter estimates Standard errors t ratios Size of effect 0.8317 0.3133 2.6546 0.4353 1.5596 0.1730 9.0150 4.7569 0.5402 0.1469 3.6773 1.7164 1.0614 0.1142 9.2942 2.8904 0.0730 0.0178 4.1011 0.9296 0.0060 0.0026 2.3077 1.0942 1.0429 0.2788 3.7407 2.8374 0.3818 0.0769 4.9649 1.4649 1.5609 0.2154 7.2465 4.7631 0.0242 0.0052 4.6538 1.2092 Color TVs Parameter estimates Standard errors t ratios Size of effect 0.5083 0.2146 2.3686 1.6625 1.7848 0.1643 10.8631 5.9584 0.1842 0.1290 1.4279 1.0479 0.0962 10.8929 2.8517 0.1574 0.0133 11.8346 0.8544 0.0069 0.0029 2.3793 1.1091 0.1590 0.3398 0.4679 0.1378 0.1377 1.0007 1.5311 0.2219 6.9000 4.6233 0.0305 0.0062 4.9194 1.2706 Passenger vehicles Parameter estimates Standard errors t ratios Size of effect Shoes-leather, rubber or plastic sole Parameter estimates Standard errors t ratios Size of effect Women’s dresses all fabrics Parameter estimates Standard errors t ratios Size of effect Author's personal copy HOMOGENIZATION AND SPECIALIZATION EFFECTS OF INTERNATIONAL TRADE 47 APPENDIX A—Continued Reciprocity A. Out stars A. In stars A. k-triangles A. 2-paths Gravity Colony Language Contiguous Product of GDPs Books Butter Parameter estimates Standard errors t ratios Size of effect 0.3740 0.2702 1.3842 1.6104 0.1441 11.1756 5.0048 0.2979 0.1182 2.5203 1.3470 1.0307 0.0798 12.9160 2.8030 0.0894 0.0129 6.9302 0.9145 0.0059 0.0023 2.5652 1.0926 0.7483 0.2066 3.6220 2.1134 0.2126 0.0842 2.5249 1.2369 1.1023 0.1770 6.2277 3.0111 0.0079 0.0026 3.0385 1.0640 Corn, unmilled Parameter estimates Standard errors t ratios Size of effect 0.2374 0.5700 0.4165 2.0981 0.1637 12.8167 8.1507 0.5355 0.1569 3.4130 1.7083 0.6693 0.1206 5.5498 1.9529 -0.0776 0.0271 -2.8635 0.9253 0.0045 0.0039 1.1538 -0.2584 0.4169 -0.6198 0.1551 0.1402 1.1063 1.9361 0.2812 6.8851 6.9317 0.0157 0.0030 5.2333 1.1312 Gas generators and parts thereof Parameter estimates Standard errors t ratios Size of effect 0.1938 0.3209 0.6039 1.7512 0.1628 10.7568 5.7615 0.5054 0.1527 3.3098 1.6576 0.6344 0.1049 6.0477 1.8859 0.0350 0.0149 2.3490 1.0356 0.0084 0.0032 2.6250 1.1344 0.9333 0.2301 4.0561 2.5429 0.2406 0.1115 2.1578 1.2720 1.0062 0.2398 4.1960 2.7352 0.0320 0.0075 4.2667 1.2856 Anthracite Parameter estimates Standard errors t ratios Size of effect -1.0620 1.2104 -0.8774 2.4325 0.2291 10.6176 11.3873 1.2643 0.2276 5.5549 3.5406 0.6663 0.2641 2.5229 1.9470 -0.1183 0.0729 -1.6228 0.0057 0.0067 0.8507 0.5576 0.5194 1.0735 0.2112 0.2659 0.7943 1.9251 0.4018 4.7912 6.8558 0.0148 0.0046 3.2174 1.1232 Cargo ships (excl. tankers) Parameter estimates Standard errors t ratios Size of effect 0.0879 0.6330 0.1389 1.9417 0.1756 11.0575 6.9706 1.3910 0.1633 8.5181 4.0189 0.5857 0.1310 4.4710 1.7962 0.0715 0.0333 2.1471 0.9310 0.0047 0.0038 1.2368 0.1185 0.4496 0.2636 0.2637 0.2711 0.9727 0.6668 0.3752 1.7772 0.0085 0.0027 3.1481 1.0690 Iron and steel bars and ingots Parameter estimates Standard errors t ratios Size of effect 1.3974 0.4621 3.0240 4.0447 1.5624 0.1702 9.1798 4.7703 1.0941 0.1727 6.3353 2.9865 0.2563 0.1334 1.9213 0.0184 0.0332 0.5542 0.0061 0.0037 1.6486 0.3685 0.3193 1.1541 0.1981 0.1621 1.2221 1.5954 0.2688 5.9353 4.9303 0.0221 0.0047 4.7021 1.1895 Antiques Parameter estimates Standard errors t ratios Size of effect 1.0971 0.5419 2.0245 2.9954 2.7326 0.6187 4.4166 15.3728 2.0313 0.6017 3.3759 7.6239 0.0129 0.3754 0.0343 0.1675 0.0465 3.6021 1.1823 0.0142 0.0078 1.8205 0.9492 0.4023 2.3594 2.5836 0.5956 0.2577 2.3112 1.8141 1.0775 0.4556 2.3650 2.9373 0.0299 0.0076 3.9342 1.2645 Note: effect magnitudes are only reported for parameters with t ratios greater than 2. Effect magnitudes are calculated for an increase of two standard deviations in the independent variable for gravity and GDP product, and for a one unit change for dummy and structural variables. Available online at www.sciencedirect.com
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