intra regional trade in ssa

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Article Julie Lohi* The Implications of HO and IRS Theories in Bilateral Trade Flows within Sub-Saharan Africa Abstract: Sub-Saharan African (SSA) countries tend to trade less among them- selves. This article analyzes the driving forces of bilateral trades within the SSA region. To do so, I use the gravity equations from Evenett and Keller (2002) and study what trade theories, the HeckscherOhlin theory of factor abundance or the increasing return to scale theory of product differentiation, account for the bilateral trade flows within this region. My results indicate that trades within this region do not arise from factor abundance or product differentiation. Trade policies that are aimed to promote trade within the region (i.e. FTA, custom unions) are likely to fail, because SSA countries produce similar homogeneous products. The key factor for economic success from international trade for the SSA region relies on how to manufacture products in different varieties and how to export their comparative advantage goods outside the region. Keywords: Sub-Saharan Africa, regional trade, gravity equation, HeckscherOhlin, increasing return to scale (IRS) *Corresponding author: Julie Lohi, Department of Economics, West Virginia University, Morgantown, WV, USA, E-mail: [email protected] 1 Introduction The international trade flows within Sub-Saharan African (SSA) countries have been low historically relative to both, the regions trade flows with other regions and trade within other regions. The issue of the low demand for goods and services across borders in SSA has been stressed in the literature, and different authors suggest different potential causes for the issue. Among others, tariff and non-tariff barriers, poor transport infrastructures, and poor private As a chapter of my dissertation thesis, this article would not have been realized without the priceless contribution of my dissertation chair and adviser, Dr. Shuichiro Nishioka. doi 10.1515/gej-2012-0020 Global Economy Journal 2013; 13(2): 175202 Brought to you by | World Bank Info Procurement Section Authenticated Download Date | 10/8/15 5:14 PM

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Page 1: intra regional trade in SSA

Article

Julie Lohi*

The Implications of HO and IRS Theories inBilateral Trade Flows within Sub-SaharanAfrica

Abstract: Sub-Saharan African (SSA) countries tend to trade less among them-selves. This article analyzes the driving forces of bilateral trades within the SSAregion. To do so, I use the gravity equations from Evenett and Keller (2002) andstudy what trade theories, the Heckscher–Ohlin theory of factor abundance orthe increasing return to scale theory of product differentiation, account for thebilateral trade flows within this region. My results indicate that trades withinthis region do not arise from factor abundance or product differentiation. Tradepolicies that are aimed to promote trade within the region (i.e. FTA, customunions) are likely to fail, because SSA countries produce similar homogeneousproducts. The key factor for economic success from international trade for theSSA region relies on how to manufacture products in different varieties and howto export their comparative advantage goods outside the region.

Keywords: Sub-Saharan Africa, regional trade, gravity equation, Heckscher–Ohlin, increasing return to scale (IRS)

*Corresponding author: Julie Lohi, Department of Economics, West Virginia University,Morgantown, WV, USA, E-mail: [email protected]

1 Introduction

The international trade flows within Sub-Saharan African (SSA) countries havebeen low historically relative to both, the region’s trade flows with other regionsand trade within other regions. The issue of the low demand for goods andservices across borders in SSA has been stressed in the literature, and differentauthors suggest different potential causes for the issue. Among others, tariffand non-tariff barriers, poor transport infrastructures, and poor private

As a chapter of my dissertation thesis, this article would not have been realized without thepriceless contribution of my dissertation chair and adviser, Dr. Shuichiro Nishioka.

doi 10.1515/gej-2012-0020 Global Economy Journal 2013; 13(2): 175–202

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participations have been underlined to explain the issue (e.g. Geda and Kebret2008; Buys, Deichmann, and Wheeler 2010). Manner and Behar (2007) point outthat the share of SSA countries’ inter-regional trade in their total trade volumeexceeds 80%. They argue that the lower trade within the region is due to tariffsand non-tariff barriers. The gravity equation predicts lower trade flows withinSSA relative to trade between SSA and the rest of the world. Foroutan andPritchett (1993) compare the actual trade intra-SSA to the predictions ofthe gravity equation. They construct a gravity equation in which the tradevolume between two countries is a function of the trade potential1 of each ofthe countries and the trade attraction2 between them. Using import and exportdata from the UNCOMTRADE at the 3-digit SITC level, they find that the predic-tions3 of the gravity equation are similar to the actual trade within SSA.

Hanink and Owusu (1998) develop the trade intensity index on the basis of aspatial interaction model to examine the trade within the economic communityof West African States (ECOWAS). Their results show that ECOWAS has failed topromote trade between its members. Mansoor et al. (1989) measure trade poten-tial as the value of SSA’s import from the rest of the world for products that atleast one SSA country is significantly exporting (significantly means, the valueof imports represents at least 1% of that country’s total exports to the rest of theworld). For instance, suppose SSA is importing a given good g from the rest ofthe world at time t and the import value is one thousand (dollar U.S.). Supposefurther that, at this particular time t , a SSA country i is exporting this same goodg to the rest of the world, and one thousand (dollar U.S.) represents at least 1%of i’s total export value in good g. Then, one thousand (dollar U.S.) is the valueof trade potential that is not exploited within the region. They use the disag-gregated UNCOMTRADE data at 4-digit SITC and find that the intra-SSA tradepotential was only 16% of the region’s total export in 1983.

The literature has thoroughly demonstrated that the imports between SSAcountries are low. However, no author has investigated the implications of theregion’s factor endowments and its level of product differentiation in explainingthe lack of comparative advantage in production within SSA and understandingwhy trade flows remain low in this region. The difference in factor endowment

1 Their measure of a country’s trade potential includes factors such as economic size, GDP percapita, trade intensity – the ratio of trade to GDP, and the geography of the country (area,island, or not island).2 The trade attraction is estimated from the distance between the two countries as the proxy forthe transport cost, common language, and political barriers to trade.3 The actual imports and exports within SSA were, respectively, 8.1 and 4.5% of the region’strade with the rest of the world, while the predictions of the gravity equation were 7.5 forimports and 4.5% for exports.

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proportions and the extent of product differentiation are important in enhancingtrade between countries. The high volatility in the prices of world primarycommodities and the resulting dramatic disturbances in African trade duringthe last decade have led Brenton et al. (2011)4 to conclude that the key devel-opment solution for Africa remains export diversification. Although not empiri-cally explained, producing differentiated products is one of the main challengesAfrican countries must undertake to boost their regional trade.

The debate about the regional trade in SSA remains one of the critical issueswhen it comes to economic development. The importance of this issue has ledregional leaders to engage in multilateral free trade agreements and subdivide theregion into overlapping custom unions and free trade areas. Despite all arrange-ments to boost regional trade, import flows in SSA remain low. In fact, imports ofAfricans from Africans have exceeded neither a quarter percent of the region’simports from the rest of the world nor half of the region’s exports toward the restof the world (see details in the next section as well as Figures 3 and 4).

The goal of this article is to examine the driving forces of bilateral tradewithin SSA. In particular, I investigate whether the regional trade of SSA arisesfrom cross-product specialization resulting from differences in factor abun-dances [Heckscher–Ohlin (HO)] or from intra-industry trade resulting fromincreasing returns to scale (IRS) production technology and product differentia-tion. My results show that the differences in factor endowment ratios within SSAare low, which indicates trade does not arise from cross-product specialization.In fact, SSA countries exhibit similar factor endowment proportions. Sixtypercent of the region’s imports are made of homogeneous goods. The averageregional Grubel–Lloyd index is low5 (0.03) over the period I consider. The lowvalue of the Grubel–Lloyd index indicates that there is less possibility ofexchanging varieties of differentiated goods. The limited patterns of productvarieties cannot generate intra-industry trade within the region. This articleshows that the conditions for specialization in production under both HO andIRS theories are not met in SSA. There is little room for potential trade withinSSA. The empirical results in this article imply that industrialization and man-ufacturing different product varieties are crucial in boosting the region’s trade inthe long run.

The remainder of this article is organized as follows: Section 2 gives ahistorical overview of trade in SSA. Section 3 briefly reviews the literature on

4 Africa Trade Policy Notes No. 15 – The Poverty Reduction and Economic ManagementDepartment of the Africa Region of the World Bank.5 Note that the maximum Grubel–Lloyd index is 1, thus the SSA regional Grubel–Lloyd is 0.03out of 1.

Driving Forces of Bilateral Trades within the SSA Region 177

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trade theories. Section 4 outlines the methodology, explains the model, andsummarizes the data and sources. Section 5 shows the investigation resultsand their implications, while Section 6 concludes the article.

2 Overview of Sub-Saharan trade

2.1 Product composition of Sub-Saharan Africa trade

The bilateral imports of non-fuel products of African countries from otherAfrican countries are mainly composed of primary commodities. These commod-ities are agricultural goods and manufactured6 goods that mainly consist ofconsumer goods. Although primary commodities, the composition of theAfrican products has changed over the last decades. This change in the compo-sition of the goods in SSA has remarkably affected the rate of imports within theregion. In fact, between 1970 and the late 1980s, a large proportion of commod-ities traded in SSA consisted of agricultural goods. The share of manufacturedgoods was low relative to that of the agricultural goods up to the late 1980s(Figure 1). Noticeably, over that decade, the total import level within SSA wasstagnant and low as shown in Figure 2.

From the late 1980s, the share of manufacturing goods in the total importincreased. The proportion of the manufactured goods in the value of totalimports within SSA surpassed that of the agricultural goods in the mid-1990s.As shown in Figure 2, the curve of intra-SSA imports changed from being flat. Itis upward sloping. There is an argument that the observed dramatic increase inthe SSA regional imports in the 2000s results from the increase in the worlddemand for primary commodities, which inflated their prices (see Gupta andYang 2006; Brenton et al. 2011).

However, during the 1990s, even though there was not such a huge increasein the world demand for primary commodities, the trend of the regional imports

6 Note that the manufactured goods used in this section do not include machinery andtransport equipment. This exclusion is because a large portion of machinery and transportequipment imported within SSA are products of China and India. In recent decades, trade hasintensified between India, China, and Africa. As Broadman (2007) explains, this increasedpartnership is due to the economic complementarities between the two regions. The Asiancountries essentially export machinery and transport equipment toward some key Africancountries (i.e. South Africa and Nigeria). From these countries, these products are exported toother countries in the region (Kaplinsky, McCormick, and Morris 2006).

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Year1970 1980 1990 2000 2010

0.2

0.3

0.4

0.5

0.6

Share of agricultural goods Share of manufactured goods

Sha

res

in to

tal n

on-o

il im

port

s in

SS

A (

%)

Figure 1: Value share of agricultural and manufactured goods in total non-oil imports in SSA.

Year19951985 1990 2000 20102005

01.

0e+

072.

0e+

073.

0e+

07

within SSA imports (in 1,000 USD)

Impo

rts

with

in S

SA

(in

1,0

00 U

SD

)

Figure 2: Nominal value of imports within SSA.

Driving Forces of Bilateral Trades within the SSA Region 179

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had started to increase then. The moderate increase in the intra-SSA imports inthe 1990s was mainly due to the growth in manufactured goods over that period.As shown in Figure 1, in the mid-1990s, the share of manufactured goodssurpassed that of the agricultural goods in the total imports within SSA. Inaddition, there was a new trend of an increase in the share of the manufacturedgoods beginning from the year 2000. Although the rise in world demand forprimary commodities significantly contributed to the increase in imports withinthe region, a portion of this increase can be explained by the growth in the shareof manufactured products in the total regional trade around that period. Thereason is, even though the imports dropped after the unusual world demand, theregional imports were still higher compared with their levels before the mid-1990s. These higher imports after the unusual event were essentially due to thegrowing share of manufactured goods relative to the share of agricultural goodsin the total regional imports.

The above overview of the non-fuel commodities trade within SSA showstwo main points. First, prices of commodities in SSA depend on world prices,so they are vulnerable to external shocks. This is essentially because thecommodities of SSA consist, in general, of primary commodities. The secondpoint is that manufacturing has positive effects on imports within SSA. Thesefacts highlight the importance of product differentiation in enhancing bilat-eral trade in SSA. Indeed, manufacturing goods is the basis for productdifferentiation. SSA countries should shift their products from primary com-modities to high value added ones and produce them in different varieties.Product differentiation will allow not only boosting the intra-regionaldemands but also reducing the region’s vulnerability to change in the pricesof world primary commodities.

2.2 Trade within SSA versus trade of SSA with the rest ofthe world

Historically, SSA countries trade a smaller share of their GDP among themselvesrelative to the portion of GDP that they share with the rest of the world. Toidentify how much are imports within SSA relative to SSA’s imports from(exports to) the rest of the world, I use aggregated data at UNCOMTRADE (1-digit SITC) to compute the total export (import) values of SSA toward (from) therest of the world per year and the yearly total intra-regional import value of SSA.Figures 3 and 4 provide, respectively, the ratio of intra-SSA imports to SSA’sexports to the world and intra-SSA imports to SSA’s imports from the rest of theworld. The observation reveals that imports within SSA have always been

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Year19951985 1990 2000 20102005

510

1520

2530

Within SSA imports to SSA’s export to RoW ratio

With

in S

SA

impo

rts

to S

SA

’s e

xpor

t to

RoW

rat

io (

%)

Figure 3: The ratio of within SSA imports to SSA’s exports to the rest of the world.

Within SSA imports to SSA’s imports from RoW

Year

19951985 1990 2000 20102005

510

1520

25

With

in S

SA

impo

rts

to S

SA

’s im

port

s fr

om R

oW(%

)

Figure 4: The ratio of within SSA imports to SSA’s imports from the rest of the world.

Driving Forces of Bilateral Trades within the SSA Region 181

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smaller than the region’s trade (both import and export) with the remainingworld.

SSA imports more from the world than within itself. As shown in Figure 4,the proportion of the intra-regional imports in SSA’s imports from outside theregion has been historically less than 10%. This proportion reached 20% in themid-2000s due to the worldwide increase in demand for primary commoditiesand the growth of manufactured goods share in the regional trade (see Guptaand Yang 2006; Brenton et al. 2011). Both, the ratios of regional imports toexternal exports and imports increased from the late 1980s to the mid-2000s andthen declined in the following years. The periods of increase and decrease inthese ratios coincide with the period, when the share of manufacturing goodsincreased and declined. Thus, manufacturing can explain some parts of thesuccess in trade within SSA.

Despite the contribution of manufacturing to the regional trade enhance-ment, trade within SSA is still not a grand success. Even though the share ofmanufactured goods in the regional production has increased over the lastdecades, more than 60% of the region’s product consists of non-manufacturedgoods; and imports within SSA remain largely low compared to the region’strades with the rest of the world. This indicates that the level of manufacturing isstill too low to highly promote trade in the region. The inability of SSA countriesto add more value to their products (manufactured goods in a large extent) canbe explained by the market access constraints that these countries face. SSAcountries are distant from developed markets from where they import capitalequipment and intermediate goods required for production. For instance,Redding and Venables (2004) find that each 10% increase in ad valorem trans-port costs of final output and intermediate goods is associated with a 30%reduction in value added in the domestic country. Countries facing highertransport costs (i.e. countries suffering from large markets and supplier accessissues) are less likely to produce high value added goods. In this article,I examine how the extent of manufacturing goods in different varieties andthe difference in factors of production proportions explain the level of demandacross borders within SSA.

3 A brief literature review on bilateral tradetheories

Despite the improvement in trade within SSA during the last decades, the tradeflows within the region are still low. Different factors might explain the

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persistence of the issue. This article focuses on analyzing the differences infactor endowments – the HO theory and the extent of product differentiationwithin SSA to explain why the regional trade is still low. The HO model is thetrade theory initiated by Heckscher (1919) and reformulated by Ohlin (1933). Thistheory provides a basis for empirical analysis of the origins of comparativeadvantage. The model proposes that international differences in factor endow-ments are sources of comparative advantage under two key assumptions: (1) theimmobility of the factors of production across borders: factors are immobileacross borders but move freely across industries within a country and (2) factorabundance does differ across countries but does not differ too much so thatcountries are within the factor price equalization set. The relative factor endow-ment differences can lead to comparative advantage in the production of goodsand services across countries. Within an industry, this will reflect the relativeintensity of one factor over others in the production of a good or the marginalrate of substitution between factors in the production process.

For bilateral trade to be enhanced within SSA, the countries must specializein particular goods or services in the production of which they have a compara-tive advantage over other countries. According to the HO theory, countriesexport the goods that they produce intensively with their abundant factor.Thus, a labor abundant country will specialize in and export goods that requirelabor intensively in their production, while a capital abundant country willspecialize in and export a good that requires capital intensively in the produc-tion process. In the case where two countries have similar factor endowments,they tend to trade less with each other, because the production prices of goodsare similar across the two countries.

The HO model assumes that different combinations of the production factorsare used in the production of different goods. Based on the HO theory, if acountry is abundant in factors that are used intensively in the production of agiven good, this country will have a comparative advantage in the production ofthat good over other countries. Thus, this country would specialize in theproduction of this good and export it to other countries that produce the goodwith higher costs.

Bilateral trade between two countries can also be intensified as a result ofproduct differentiation where the love of varieties creates demand for productsacross countries. Krugman (1979) initiates the theoretical framework for the ideaof product differentiation under the assumptions of IRS production technologyand monopolistic competition. Krugman’s contribution has been extended by awide range of works (i.e. Krugman 1980; Bergstrand 1989; Eaton and Kortum2002; Helpman, Melitz, and Rubinstein 2008). This type of trade has beenproven to be the driving force of bilateral trade among industrialized nations.

Driving Forces of Bilateral Trades within the SSA Region 183

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Helpman (1987) and Debaere (2002)7 show that a large portion of trade betweendeveloped nations is made up of trade between industries producing differentvarieties of a product. One of the primary objectives of this article is to studywhether the IRS theory is relevant to trade within SSA.

The HO and IRS theories are the foundations for empirical investigations oninternational trade patterns. Moreover, the gravity equation, which remains themost successful model in explaining the variations in trade volume betweencountries, can be derived from both of these two theories (e.g. Helpman andKrugman 1985; Evenett and Keller 2002). In the following sections, I employEvenett and Keller’s framework to study the driving forces of trade within theSSA and identify whether this region exhibits opportunities for internationaltrade based on the two theories.

4 Methodologies

I follow the empirical strategies of Evenett and Keller (2002) who tackle thefactor endowment difference and the IRS theories of trade in a framework of thegravity equations. They study to what extent each of the theories explains thevolume of bilateral trade. I apply their methodology to the bilateral trade withinSSA region and compare it with that of other regions.8 The model of Evenett andKeller (2002) is convenient under the goals of this article, because it can test theendowment based issue and product differentiation from a single framework ofa gravity equation.

4.1 Trade theories and the gravity equation

Under the assumptions of perfect specialization, identical and homothetic pre-ferences, and frictionless trade, one can derive a gravity equation, in which the

7 Helpman (1987) uses a gravity model and provides support that the trade volume within aregion relative to the regional GDP is proportional to the dispersion index that measures theregional degree of intra-industry trade. Debaere (2002) examines the results of Helpman (1987)on the samples of 14 OECD countries where product differentiation is of great importance andanother sample of Non-OECDs with less differentiated goods. He concludes that the increasingsimilarity in GDP among the OECD countries leads to higher bilateral trade whose largeproportion consists of intra-industry trade.8 East and South Asia, Europe and North America, Latin America and Caribbean, and theMiddle East and North Africa.

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value of imports of a country i from a country j at time t is proportional tothe product of the GDPs of the two countries (Yit and Yjt) divided by worldGDP (Ywt):

Mijt ¼ YitYjt

Ywt; ½1�

where Mijt, Yit, Yjt, and Ywt are, respectively, imports of country i from country j,GDP of country i, GDP of country j, and the world’s GDP at time t (hereafter,superscripts i and j represent country indexes, and t is the time index). Thisarticle modifies eq. [1] to apply it to intra-regional trade.

Mijt ¼ Yrt

Ywt

YitYjt

Yrt ; ½2�

where Yrt is the regional GDP (hereafter, superscript r represents the regionalindex). Eqs [1] and [2] above have very important theoretical features. They holdas long as countries completely specialize in different products. Moreover, theseequations can be derived from the product differentiation, complete specializa-tion across varieties, as well as the cross-industry specification arising fromfactor endowment differences.

The IRS theory states that the love of varieties is what creates demand forgoods across borders. However, each country demands the varieties of differ-entiated goods from its partners relative to its GDP. If the two countries producea common good (Z) (homogeneous good) and different varieties of another good(X) (differentiated product), then each country will import different varieties ofthe differentiated good from the other country, but not the common good. Basedon identical and homothetic preferences, the quantity of the varieties of goodsthat country i imports from j is a function of i’s share of world GDP, which in thiscase is Yit=Yrt. Nevertheless, the quantity of product varieties that country iexpects to import from j is reduced, as the share of homogeneous goods betweenthe two countries increases.

The reason why bilateral trade between the countries declines in the pre-sence of a homogeneous good is the following: The two partner countriesproduce a given amount of a homogeneous commodity Z. The shares of thegood Z in i and j’s GDPs are, respectively, Zi and Zj. Country i’s share of varietiesin its GDP is ð1� ZitÞYit. Thus, i’s share of world market is ð1� ZitÞYit=Ywt. Ifthere were no common goods produced in both countries, the importing countrywould import all varieties from the partner at the full value of its share in theworld GDP (Yit=Ywt). In this case, eq. [2] where the coefficient of the left-handside is unity would hold. That is, i imports 100% of the different varieties from jso does j from i. With the existence of common good Z, the total imports of i from

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j is reduced by the share Zit. Incorporating the share of homogeneous goods ineq. [2]) gives

Mijt ¼ ð1� ZitÞ Yrt

Ywt

YitYjt

Yrt : ½3�

We would expect high regression coefficients for country pairs where productsare differentiated than for country pairs with large shares of homogeneousgoods. That is, for Zit > 0, the trade volume between partners declines.Consequently, countries with high Grubel–Lloyd index will tend to have ahigh alpha (αit), where αit ¼ ð1� ZitÞ.

Eq. [3] holds perfectly to test trade based on the endowment proportiondifferences between countries as well. In the world of two countries, two goods,and two factors HO model, each country exports the good that uses intensivelyits abundant factors. If country i and j are, respectively, capital and laborabundant and produce two homogeneous goods Z and X, the first country willexport capital intensive goods and the second country will export labor inten-sive goods. Suppose the production of good X requires more capital and lesslabor than the production of good Z. Both the goods are produced in bothcountries. The amounts of X and Z produced in country i are Xit=ðXit þ ZitÞand Zit=ðXit þ ZitÞ with Xit=ðXit þ ZitÞ> Zit=ðXit þ ZitÞ. On the other hand, countryj produces the shares Zjt=ðXjt þ ZjtÞ and Xjt=ðXjt þ ZjtÞ with Zjt=ðXjt þ ZjtÞ >Xjt=ðXjt þ ZjtÞ. Country i exports a demanded proportion αx of its productionXit. Thus, the world market share of i is Mijt ¼ ðαx=XitÞ Yrt

YwtYitYjt

Yrt , and the marketshare of j is Mjit ¼ ðαz=ZjtÞ Yrt

YwtYitYjt

Yrt . Let γit ¼ αx=Xit and γjt ¼ αz=Zjt.Then,

Mijt ¼ ðαx=XitÞ Yrt

Ywt

YitYjt

Yrt ¼ γitYrt

Ywt

YitYjt

Yrt ½3′�

and

Mjit ¼ ðαz=ZjtÞ Yrt

Ywt

YitYjt

Yrt¼ γjt

Yrt

Ywt

YitYjt

Yrt: ½3′′�

where αx in eq. [3′] and αz in eq. [3′′] are, respectively, the quantity of good Xdemanded by country j from country i and the quantity of good Z demanded bycountry i from country j.

From the above demonstration, we would expect γit and γjt to be higherwhen the capital to labor ratios differ sharply across the two countries at aparticular time t. This is because the large difference in factor endowments willcause each country to specialize in the production of the good it producesintensively with its abundant factor and rely on its partner for the consumption

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of the other good. By relying on each other, the demand increases between thetwo countries. Therefore, γit and γjt decrease when endowment ratio differencesbetween the countries decline. In the extreme case, if both countries are capitalor labor abundant, αx or αz will tend to zero. This will characterize the “zerotrade” case in a HO model, when endowments are identical. The coefficients γit

and γjt from estimating eqs [3′) and [3”] are expected to be smaller, when factorendowments are similar or/and when products are not differentiated (i.e. in thepresence of large shares of homogeneous goods).

Additional modifications from eqs [1]–[3] are the inclusion of the dummy forcommon language– if the twocountrieshavea commonofficial language (CLijr); thedummy for colonial links if the importing country was a colony (Colijr); the dummyfor contiguity if the two countries share a common border (Contigijr); the log of thedistance between the two countries (Dijr) and the landlocked dummy (LLijr). Afterinclusion of these control variables, eq. [3] becomes

Mijtr ¼ αitr þ αitrYitYjt

Yrtþ βCLijr þ δColijr þ θContigijr þ #Dijr þ ρLLijr þ "ijtr;

where the constant term (αitr) captures Ytr=Ywt. This article estimates eq. [4]using a panel pooled ordinary least square (OLS). Baltagi and Khanti-Akom(1990) stress that the Haussmann–Taylor (hereafter, HT) (1981) estimation meth-odology is the best estimator for equations where potential correlation mightexist between the explanatory variables and the individual specific effects.Baltagi and Khanti-Akom (1990) argue that with the HT estimation methodology,the within transformation does not eliminate the individual effects, and itcorrects the within estimator when individual effects are correlated with theexplanatory variables.

Another way to recover individual specifics is the use of fixed effect estima-tion. However, the fixed effect estimation automatically drops the time invariantvariables. This is an issue with the gravity estimations where country specificssuch as distance between countries, the common language or common borderbetween two countries, and landlocked dummies are time invariant. If the timeinvariant variables are uncorrelated with the country pair effects, then one canrecover the fixed effects using the two-stage least square (i.e. estimate OLS onthe residuals of fixed effect regression (Baltagi 2009). For these econometricreasons, some gravity estimations have recently employed the HT estimationmethodology. For instance, Serlenga and Shin (2007) estimate the gravity equa-tion of bilateral trade among 15 European countries using the HT estimationmethodology. They argue that in addition to recovering the country specificeffects of variables such as distance, common border, and common language,the HT methodology allows these variables to be endogeneous.

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Even though the HT methodology tackles the endogeneity problem, I use thepooled OLS, because the type of gravity equation I use in this article allows littlecorrelation between the explanatory variable and the dummies (country speci-fics). Serlenga and Shin (2007) use GDP, the differences in relative factorendowment between trading partners (RLF), dummy on similarity in relativesize (SIM), dummy on European community membership (CEE), common cur-rency (EMU), and the common language dummies as the endogeneous variablewhen applying the HT methodology. Obviously, the design of their gravityequation exhibits potential endogeneity, and it is reasonable for them to usethe HT estimator. GDP, the relative country size, and the difference in relativeendowment could be correlated. In addition, most of the 15 European countriesin their sample are members of the “CEE” and the “EMU”.

The gravity equation by Evenett and Keller (2002) that I have used isdesigned in such a way that the main explanatory variables are combined inthe countries’ sizes. The endowments proportion differences are intended to bepart of the GDP and be reflected through the coefficient of the estimation. Themain explanatory variable in my gravity equations, YitYjt=Yrt turns out to be lesscorrelated with the dummies which reflect the country specifics. The matrix ofcorrelation between the variables is given in Table 1, and the results fromestimating eq. [4] are in Table 2.

Table 1: Benchmark case: estimation of eq. [4] for different classes of GL and DFER.

HO model: low GL (GLij < 0:05)IRS/HO model: high GL (GLij > 0:05)

n i classes 1αitν

2αitν

3αitν

ν = 1 0.002** 0.013*** 0.088***(0.000825) (0.000432) (0.00220)

ν = 2 0.003** 0.032*** 0.060***(0.00119) (0.000594) (0.00204)

ν = 3 0.011*** 0.153*** 0.059***(0.000542) (0.00205) (0.00196)

ν = 4 0.012*** 0.265*** 0.136***(0.000699) (0.00413) (0.00397)

ν = 5 0.005*** 0.070*** 0.123***(0.000731) (0.00230) (0.00160)

All observations 0.010*** 0.088*** 0.088***(0.000334) (0.00111) (0.00111)

Notes: 1νi ranked in increasing order of DFER within the lower Grubel–Lloyd (GL) sample;2νi ranked in increasing order of GL within the higher GL sample; 3νi ranked in increasing orderof DFER within the higher GL sample***p < 0.01, **p < 0.05, *p < 0.10; The heteroscedasticity-consistent standard errors are in parentheses.

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4.2 The data summary

The overview of the historical trade in SSA is observed over the period from 1970through 2007 using aggregated data at the 1-digit SITC of the UNCOMTRADEdatabase. However, due to the lack of historical data on the capital stock and thelabor force, for the empirical investigation I use a panel of 11 years (from 1997 to2007) on 136 countries9 grouped into five regions.10 The bilateral trade data isretrieved from the IMF’s direction of trade and UNCOMTRADE. The data on realgross domestic product converted into purchasing power parity (PPP), thecapital stock, the labor force, and the population are retrieved from the IMF’sInternational Financial Statistics. The gross capital formation was retrieved fromthe World Bank’s World Development Indicators (WDI) data and is adjusted by

Table 2: Estimation of eq. [4] using pooled panel OLS.

Asia1 EU–NAM2 LAC3 MENA4 SSA5

Variables Mijtr Mijtr Mijtr Mijtr Mijtr

YitYjt=Yrt 0.15*** 0.08*** 0.04*** 0.03*** 0.04***(0.00162) (0.00168) (0.00176) (0.00188) (0.000793)

LLijr 0.319 −2.807*** −0.0573 0.00789***(0.628) (0.938) (0.0542) (0.00284)

CLijr 2.332*** 10.78*** −0.0188 0.0955*** 0.00391(0.547) (1.386) (0.0290) (0.0299) (0.00270)

Colijr −8.999*** 11.03*** −0.511** −0.116**(2.658) (1.463) (0.256) (0.0462)

Dijr −0.671** −12.35*** −0.0288 −0.0158 −0.00285(0.317) (1.617) (0.0198) (0.0164) (0.00206)

Contigijr 2.381** −2.857*** 0.438*** 0.0963** 0.0308***(0.927) (0.447) (0.0520) (0.0458) (0.00530)

Constant 5.063* 22.28*** 0.255 0.0288 0.0151(2.672) (3.365) (0.160) (0.133) (0.0167)

Observations 6,170 9,900 6,339 2,907 12,135Number of groups 606 900 631 273 1,190

Notes: 1East and South Asia; 2Europe and North America; 3Latin America and Caribbean;4Middle East and North Africa; 5Sub-Saharan Africa; ***p < 0.01, **p < 0.05, *p < 0.10; Theheteroscedasticity-consistent standard errors are in parentheses.

9 The list of countries by region is given in Table 3.10 Asia, EU–NAM, LAC, MENAF, and SSA denote, respectively, region of East Asia, Pacific, andSouth Asia, Europe and North America, Latin America and Caribbean, Middle East and NorthAfrica, and Sub-Saharan Africa.

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the depreciation rate of 6%. The gross capital formation is used as a proxy forcountries’ capital stock.

The data include countries with valid data on capital stock and labor forceover the indicated period. Note that capital and labor are used as the main factor

Table 3: List of countries by region.

ASIA EU–NAM LAC MENA SSA

Afghanistan Albania Argentina Algeria AngolaAustralia Austria Bahamas, The Bahrain BeninBangladesh Belgium Barbados Djibouti Burkina FasoBrunei Canada Belize Egypt BurundiCambodia Croatia Bolivia Iran CameroonHong Kong Cyprus Brazil Israel Cape VerdeChina Czech Rep. Chile Jordan CAFFiji Denmark Colombia Kuwait ChadIndia Finland Costa Rica Lebanon ComorosIndonesia France Dominican Rep. Libya DRCJapan Germany Ecuador Mauritania Congo, Rep.Korea, Rep. Greece El Salvador Morocco Coted’ IvoireLao Hungary Guatemala Oman Equatorial GuineaMalaysia Iceland Guyana Qatar EthiopiaMaldives Ireland Haiti Saudi Arabia GabonMoldova Italy Jamaica Sri Lanka GambiaNepal Malta Mexico Tunisia GhanaNew Zealand Netherlands Nicaragua Emirates GuineaPakistan Norway Panama Guinea-BissauPNG Poland Paraguay KenyaPhilippines Portugal Peru LiberiaSingapore Romania Suriname MadagascarSolomon Islands Slovak Rep. Tonga MalawiThailand Slovenia TTO MaliVanuatu Spain Uruguay MauritiusVietnam Sweden Venezuela Mozambique

Switzerland NigerTurkey RwandaUnited Kingdom SenegalUnited States Sierra Leone

South AfricaTanzaniaTogoUgandaZambiaZimbabwe

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endowments in this article. Whenever a country lacks the data on capital stockor labor force for a given year, the pairs of countries in which that country isinvolved are dropped out. This is because the article is interested in investigat-ing the endowment ratio difference across countries. All variables are convertedto PPP adjusted in real international dollars to be internationally comparable.The averages of the number of trade relations per importing countries in SSA,the countries’ GDP per capita, and the capital per worker over the period from1997 to 2007 are summarized in Table 4. The capital to labor ratio is alsocalculated for countries within each region. The maximum and minimum capital

Table 4: Average trade relations, GDP per capita and capital to labor ratio (1997–2007).

Country name # of trade relations GDP/Capita Capital to labor

Angola 27 1,218 384Benin 35 452 209Burkina Faso 31 299 124Burundi 24 113 20Cameroon 35 786 357Cape Verde 32 1,668 1,309Central African Republic 30 302 62Chad 26 337 216Comoros 21 515 126Democratic Republic of Congo 32 115 29Congo, Republic 35 1,265 739Cote d’Ivoire 31 763 215Equatorial Guinea 20 7,433 8,337Ethiopia 27 148 73Gabon 32 5,084 2,928Gambia 32 318 153Ghana 32 481 251Guinea 34 388 152Guinea-Bissau 13 173 63Kenya 36 483 179Madagascar 35 284 118Malawi 31 204 84Mali 31 319 278Mauritius 35 4,430 2,486Mozambique 31 266 113Niger 29 202 87Rwanda 32 266 93Senegal 35 631 339Sierra Leone 29 212 57

(continued )

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per worker and the average capital per worker within each region between 1997and 2007 are reported in Table 5.

This article follows the literature to test the rates of intra-industry tradeby computing the Grubel–Lloyd index. The data used to calculate the Grubel–Lloyd index (1975) are extracted from the UNCOMTRADE database on two-waytrade at the 3-digit level in SITC. To assess the extent of product differentiation,the article classifies the commodities by differentiated and homogeneousgoods based on Rauch (1999) and Hallak (2006) concordance. Only the differ-entiated goods are used to calculate the Grubel–Lloyd index. The averageregional Grubel–Lloyd index over the period from 1997 to 2007 is reported inTable 6.

The Grubel–Lloyd index is computed using the following equation:

GLijtr ¼ 1�P

g jMijtrg �Mjitr

g jPg jMijtr

g þMjitrg j

" #; 0 < GLijr � 1;

Table 5: The average regional capital per labor, countries with the minimum and the maximumcapital per labor between 1997 and 2007.

Difference in capital to labor ratio

Region name Min C/L country Max C/L country Av. VKL1

Europe and North America Romania: 283.7 Norway: 15,216 10,043East and South Asia Afghanistan: 64.7 Australia: 20,509 3,746Middle East and North Africa Djibouti: 147 Emirates: 15,600 3,234Latin America and Caribbean Guyana: 286.5 Bahamas: 15,556.6 2,219Sub-Saharan Africa DRC2: 7.25 Equatorial Guinea: 18,256 546

Notes: 1Average value of capital per labor; 2The lowest value of C/L between 1997 and 2007 wasrecorded in the Democratic Republic of Congo (DRC).Source: Author’s calculation using WDI database.

Table 4: (Continued )

Country name # of trade relations GDP/Capita Capital to labor

South Africa 36 3,904 1,938Tanzania 36 318 133Togo 30 305 127Uganda 35 282 132Zambia 36 503 276Zimbabwe 31 509 126

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where, g represents a commodity. GLijtr is the Grubel–Lloyd index and reflectsthe degree of intra-industry trade (imports and exports) of country i from (to)country j. Mijtr

g is the export value from country i to country j in a differentiatedgood, and Mjitr

g is the import value of country i from j in the good g.The Grubel–Lloyd index reflects the degree of intra-industry trade in differ-

entiated goods. This index can be assessed only if a good is simultaneouslyimported and exported by a country from (to) the other country. GLijtr equalszero whenever g is either exported or imported only. In contrast, if the value ofimports is equal to the value of exports in commodity g, then GLijtr equals unity.Therefore, the Grubel–Lloyd index allows determining the proportion of intra-industry trade in the regional trades. The shares of differentiated and homoge-neous goods in the total trade volume as well as the capital to labor ratios arecalculated to further highlight the nature of endowments and the characteristics ofgoods in SSA trade. This exercise is conducted for all regions to facilitate thecomparison of SSA to other regions. Note that the relatively higher GLijtr indexindicates intensive intra-industry trade or the existence of the wide range ofproduct varieties tradable between industries across borders.

5 Results and interpretation

5.1 The endowments proportions and intra-industrytrade in Sub-Saharan Africa

The endowment analysis shows that SSA countries are in the majority laborabundant. The ratios of capital to labor within SSA indicate that there is less

Table 6: Regional Grubel–Lloyd index, shares of differentiated and homogeneous goods(1997–2007).

Regional Grubel–Lloyd index

Region name Mean Minimum Maximum DG1 HG2

Europe and North America 0.24 0.00 0.43 72 28East and South Asia 0.12 0.00 0.28 70 30Latin America and Caribbean 0.05 0.00 0.16 34 66Middle East and North Africa 0.05 0.00 0.17 34 66Sub-Saharan Africa 0.03 0.00 0.11 40 60

Notes: 1Differentiated goods; 2Homogeneous goods.Source: Author’s calculation using UNCOMTRADE data.

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capital available per worker in SSA as compared to that within other regions. Onaverage, the value of capital per labor in SSA is 546 ($ U.S.), and it is the lowestas compared to the value of capital per worker in other regions (Table 5). Factorendowment ratios are similar across countries in SSA than in other regions. Themean difference in the capital to labor ratio in SSA is 845, and it is also thelowest among regions. In SSA, the minimum difference in the factor productionratio is between Burundi and the Democratic Republic of Congo (DRC), whereasthe maximum difference in this ratio is between Equatorial Guinea andZimbabwe. More than 38 pairs of countries in SSA exhibit no significant differ-ence in factor endowment ratios (factor proportion difference is close to zerobetween the countries composing the pair). The endowment ratio within SSAindicates that the region is labor abundant rather than capital abundant. Giventhe countries’ endowments, the opportunity cost of producing capital intensivegoods in SSA is high. This indicates the lack of comparative advantage in theproduction of goods within the region. Therefore, specialization in production ofgoods based on the factor endowments is less likely to occur in SSA.

There are few varieties of differentiated goods traded in SSA. From 1997 to2007, the imports of SSA countries from other SSA countries were mainly com-posed of tobacco, metallic structures, furniture, cotton fabrics, footwear, perfum-ery and cosmetics, fertilizers, road motor vehicles, alcoholic beverages, rubbertires, telecommunication equipment, wood simply worked, tools, electric machin-ery parts, printed matter, and medicaments. As we can see, the manufacturedgoods in SSA are mostly consumption goods, not high value added goods. Inaddition, most of the SSA countries do not intensively participate in trade indifferentiated goods. Over the total period of observation, South Africa’s share ofthe total market value in differentiated goods is almost 50%. The remainingcountries have shares of market value which are less than 5% (Table 7). Thelower participation and the limited patterns of differentiated goods are indicationsof the less extent of differentiated goods and the low trade within the region.

Intra-industry trade is almost missing in SSA. The average regional Grubel–Lloyd index – which measures the rate of trade between industries acrossborders, is low in SSA compare to that of other regions (Table 6). The averageGrubel–Lloyd index is 0.03 in SSA, and the index is zero for more than 60% ofthe countries over many years. The lack of intra-industry trade reflects the factthat products are not differentiated in the region. Thus, specialization based onthe IRS theory cannot take place under these conditions. The factor endowmentand IRS theories of trade explain why SSA countries trade less among them-selves. Based on the HO theory, the lower difference in factor proportions cannotgenerate perfect specialization within SSA, whereas the absence of productdifferentiation undermines bilateral trade.

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Table 7: Statistics on trade in differentiated goods in SSA (1997–2007).

Reporter name IV1 EV2 RMS3 (%) GLI4

South Africa 42,781.6 6,502.3 47.16 0.027Kenya 3,107.8 1,650.9 4.55 0.023Zimbabwe 1,153.0 3,556.7 4.51 0.031Mozambique 246.0 4,112.8 4.17 0.027Nigeria 644.9 3,177.5 3.66 0.029Cote d’Ivoire 3,090.1 679.0 3.61 0.027Ghana 609.0 3,034.7 3.49 0.027Tanzania 475.8 2,448.3 2.80 0.025Burkina Faso 309.8 2,347.3 2.54 0.026Mali 73.7 2,440.0 2.41 0.026Malawi 366.4 2,073.4 2.33 0.027Mauritius 906.0 1,263.2 2.08 0.023Senegal 1,394.0 756.2 2.06 0.023Togo 1,024.2 1,103.5 2.04 0.029Uganda 137.8 1,584.3 1.65 0.021Botswana 993.6 620.8 1.54 0.033Benin 652.1 911.7 1.50 0.027Madagascar 129.3 1,249.1 1.32 0.021Cameroon 447.1 819.2 1.21 0.025Guinea 38.9 745.3 0.75 0.022Gabon 126.5 640.5 0.73 0.022Niger 92.2 504.1 0.57 0.024Namibia 457.8 58.6 0.49 0.031Rwanda 20.9 470.7 0.47 0.025Ethiopia 28.2 416.8 0.43 0.024Seychelles 37.1 380.4 0.40 0.022Gambia 32.5 383.3 0.40 0.022Burundi 16.2 306.1 0.31 0.023Sierra Leone 21.7 239.0 0.25 0.024Guinea-Bissau 28.8 173.2 0.19 0.022CAF5 4.5 145.3 0.14 0.020Comoros 3.5 119.8 0.12 0.021Eritrea 18.2 41.1 0.06 0.024Cape Verde 14.3 38.3 0.05 0.022São Tomé and Príncipe 7.6 10.3 0.02 0.026

Notes: 1Import value (million $ U.S.); 2Export value (million $ U.S.); 3Regional market share;4Grubel–Lloyd index; 5Central African Republic.Source: Author’s calculation using UNCOMTRADE data.

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The low extent of product differentiation in SSA can be explained by thelack of technology which is known as the driving factor of labor productivity.Whether new technologies are available or not in the production process inSSA, their application requires skilled labor force. However, SSA has a verysmall share of labor force that can be considered as skilled workers. In fact,using the education level of individuals as the proxy for their skills, thepercentage of people aged 15 and older with secondary education as well asthe percentage of population aged 25 and above with tertiary education arenegligible in SSA compared with that in other regions (see Table 8).

The proportion of skilled workers in the total labor force matters to the extent ofhow countries trade. The degree of trade between two countries turns out todepend on the skills in both countries. In the Tables 9–11, I use the totalproportion of people aged 15 and above as a proxy for skilled labor. Then, Imerged all trade pairs from all regions to create five ν classes: (1) with νincreasing by the increasing order of education in the importing country(Table 9); (2) ν increasing by the increasing order of education in the exportingcountry (Table 10); and (3) ν increasing by the increasing order of the sum of theproportion of education in both countries (Table 11).

After estimating eq. [4], the results show that the proportions of educatedpeople in both countries matter for trade between them. The coefficient ofYitYjt=Yrt in Table 11 increases, as ν increases. However, the effect of educationon trade is not clear in Tables 9 and 10. The order of the coefficients of YitYjt=Yrt

in Tables 9 and 10 are ambiguous. This can be explained by the fact that ν is

Table 8: The proportion of skilled labor in the regional labor force

15 Years and older; 25 years and older

Region name 1Total 15+ in SS (%) 215+ CSS (%) 3Total 25+ in TS (%) 425+ CTS (%)

Asia 27.3 13.9 6.5 3.9EU and NAM 39.9 20.9 10.9 6.8LAC 26.2 10.9 5.6 3.6MENA 20.3 10.8 6.1 3.8SSA 13.9 4.9 1.4 0.8

Notes: 1Total of people aged 15 and above in secondary school; 2People aged 15 and above whocompleted secondary school; 3Total people aged 25 and above in tertiary school; 4Total peopleaged 25 and above who completed tertiary school.Source: Five years average of attainable education by Barro and Lee from 1950 to 2010.

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Table 10: Estimation of eq. [4] by increasing1 order of education2 in exporting country.

Variables n ¼ 1 n ¼ 2 n ¼ 3 n ¼ 4 n ¼ 5Mijtr Mijtr Mijtr Mijtr Mijtr

YitYjt=Yrt 0.17*** 0.11*** 0.06*** 0.09*** 0.08***(0.002) (0.004) (0.002) (0.003) (0.004)

LLijr 0.003 –0.21 –0.29 –0.16 –1.82(0.02) (0.44) (0.28) (0.72) (1.42)

Contigijr 0.02 1.3** 1.6*** 5.2*** 16.34***(0.03) (0.63) (0.37) (0.84) (2.38)

CLijr –0.02 0.05 –0.6*** –0.2 3.1**(0.02) (0.36) (0.21) (0.50) (1.36)

Colijr 0.25** –0.39 0.20 –3.86*** –11.90***(0.12) (2.74) (0.89) (1.39) (2.63)

logðDijrÞ –0.003 –0.07 –0.32*** –1.54*** –3.78***(0.01) (0.23) (0.12) (0.30) (0.64)

Constant 0.02 0.37 3.1*** 12.5*** 30.8***(0.09) (1.92) (0.91) (2.27) (5.07)

Observations 1,041 1,041 1,040 1,040 1,042Prob. 0.0000 0.0000 0.0000 0.0000 0.0000Number of groups 608 691 680 660 592

Notes: 1The lower ν indicates the lowerproportionofpeople in tertiary school; 2Total of peopleaged15andabove in

tertiary school; ***p < 0.01, **p < 0.05, *p < 0.10; The heteroscedasticity-consistent standard errors are in

parentheses.

Table 9: Estimation of eq. [4] by increasing1 order of education2 in importing country.

Variables All n ¼ 1 n ¼ 2 n ¼ 3 n ¼ 4 n ¼ 5Mijtr Mijtr Mijtr Mijtr Mijtr Mijtr

YitYjt=Yrt 0.08*** 0.003*** 0.08*** 0.04*** 0.07*** 0.080.002) (0.001) (0.002) (0.003) (0.004) (0.003)

LLijr –0.8** 0.001 0.05 –0.28 –1.423*(0.35) (0.006) (0.24) (0.40) (0.73)

Contigijr 3.47*** 0.03*** –0.44 1.51*** 7.02*** 17.31***(0.51) (0.01) (0.32) (0.44) (1.00) (2.38)

CLijr 0.15 0.01 0.03 –0.87*** –0.19* 3.25**(0.29) (0.01) (0.19) (0.25) (0.60) (1.36)

Colijr –4.75*** 0.40*** –0.32** –0.25 –3.60** –14.11***(1.08) (0.05) (1.44) (0.97) (1.66) (2.61)

logðDijrÞ –1.36*** –0.002 –0.34*** –0.31 –1.26*** –3.8***(0.175) (0.004) (0.123) (0.139) (0.351) (0.644)

Constant 11.21*** 0.02 2.76*** 3.16*** 10.93*** 30.46***(1.38) (0.036) (0.99) (1.08) (2.68) (5.08)

Observations 5,204 1,041 1,043 1,039 1,039 1,043Number of groups 2,678 592 672 683 663 588

Notes: 1The lowerν indicates the lowerproportionofpeople in tertiary school; 2Total ofpeopleaged 15andabove intertiary school; ***p < 0.01, **p < 0.05, *p < 0.10; The heteroscedasticity-consistent standard errors are in

parentheses.

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ranked only by education in one country of the pair. So, the other country in thepair might have lower or higher level of education, leading to an ambiguouseffect. From this point of view, with the lower level of education within SSA, thelower extent of trade within this region is also not surprising.

Table 11: Estimation of eq. [4] by increasing1 order of the sum of education2 in exporting andimporting country.

Variables n ¼ 1 n ¼ 2 n ¼ 3 n ¼ 4 n ¼ 5Mijtr Mijtr Mijtr Mijtr Mijtr

YitYjt=Yrt 0.05*** 0.06*** 0.08*** 0.10*** 0.11(0.01) (0.002) (0.01) (0.003) (0.003)

LLijr 0.004 0.006 –0.29 0.27 –2.10(0.002) (0.07) (0.55) (0.52) (1.59)

Contigijr 0.016*** –0.000** 3.358*** 3.93*** 18.26***(0.004) (0.09) (0.66) (0.69) (2.33)

CLijr 0.0005 –0.109** 0.368 –0.495 2.403*(0.002) (0.052) (0.380) (0.394) (1.30)

Colijr –0.25 –1.7 –0.26 –10.8***(0.27) (1.56) (1.16) (2.70)

logðDijrÞ –0.006*** –0.11*** –0.06*** –1.2*** –3.4***(0.002) (0.034) (0.220) (0.25) (0.56)

Constant 0.043*** 0.95*** 0.63 9.76*** 28.17***(0.013) (0.28) (1.68) (1.9) (4.52)

Observations 1,041 1,041 1,040 1,040 1,042Prob. 0.0000 0.0000 0.0000 0.0000 0.0000Number of groups 540 644 677 704 651

Notes: 1The lower ν indicates the lower proportion of people in tertiary school; 2Total of peopleaged 15 and above in tertiary school; ***p < 0.01, **p < 0.05, *p < 0.10; The heteroscedasticity-consistent standard errors are in parentheses.

Table 12: Correlation matrix.

Variables Mijt Y itY jt=Yrt LLij CLij Colij Contigij Dij

Mijt 1YitYjt/Yrt 0.49 1LLij –0.051 –0.0604 1CLij –0.0201 –0.053 0.0352 1Colij 0.0914 0.218 –0.0153 0.0106 1Contigij 0.1638 0.0134 0.0651 0.1205 0.1093 1Dij –0.1378 0.0459 –0.0403 0.0058 –0.1105 –0.4479 1

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5.2 The results from the gravity equations

The coefficient alpha (αitr) from estimating eq. [4] is lower for the regions wherethe share of homogeneous goods in total imports is high. It is not surprising thatLatin America, the Middle East, and SSA have similar and low coefficients (αitr)compared to that of Asia and Europe. In fact, Latin America, the Middle East,and SSA have lower intra-industrial trade expressed as small Grubel–Lloydindex. Moreover, these regions have higher share of homogeneous goods rela-tive to the shares of differentiated goods in their total import. The averagedifference in the endowment proportions for these three regions is lower com-pared with that of Asian and European samples.

SSA has the lowest rate of intra-industrial trade and the lowest averagedifference in the factor endowment ratios. SSA’s coefficient alpha (αitr ¼ 0:04)being similar to that of Latin America and slightly greater than that of the MiddleEast might result from SSA having relatively higher share of differentiated goodsin total imports compared with that of the other two regions. This indicates thatSSA could trade more by differentiating more its products.

Product differentiation and the relative endowment differences between coun-tries are critical in enhancing bilateral trade. This is supported as well by thebenchmark exercise conducted in this article. I merged all the samples andsubdivided it into two subsamples using a benchmark of GLijr ¼ 0:05.11 The firstsubsample includes pairs of countries with GLijr less than 0.05, and the secondincludes pairs with GLijr greater than 0.05. The subsamples include pairs withvalid GLijr and difference in factor endowment numbers. The sample of lower GLijr

contains 12,502 observations, and that of higher GLijr has 18,028 observations.I estimate eq. [4] for each of the two subgroups. The coefficient (αijtr) of the lowerGLijr sample is 0.01, and that of the higher GLijr sample is 0.08. Both coefficientsare significant at 99% confidence (Table 2, last row). This indicates that a 1%increase in the GDPs of countries with low GL will increase trade between them byonly 1%, while similar increase in GDP for countries with high GLijr will boost theirbilateral trade by 8%. The difference in the GLijr, which reflects the degree ofproduct differentiation, makes a large difference in the trade patterns.

In addition, I subdivided each of the two subgroups into five classes namedν classes (ν ¼ 1–5). Within the lower GLijr group, ν increases in the increasingorder of the difference in factor endowment ratios (DFER). Meaning for instancethat the DFER in the class of ν ¼ 5 is greater than that of the ν ¼ 1 class. Thereare about 2,500 observations per ν class within the low GLijr subgroup. Similar νclasses are created in the subgroup of the high GLijr. However, in this group, the

11 GLijr without subscript t reflects the period average.

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ν classes are first ranked by increasing GLijr order and then by increasing DFERorder. The ν classes of the higher GLijr have about 3,605 observations each. Aftercreating the ν classes, I estimate each class sample using eq. [4] and followingthe same estimation methodology-pooled panel OLS. As shown in Table 2,within the low GLijr sample, the estimation coefficients are all significant at95% confidence. These αitν increase as the DFER increases and reaches the largestvalue of 0.012 for the ν ¼ 4 class. The lower coefficient for the ν ¼ 5 class couldresult from many pairs having extremely lower GLijr despite their higher DFER.

Similar patterns of the αitν is observed within two class types of the high GLijr

sample. For the classes ranked by increasing GLijr order, the αitν increases as theGLijr rate increases and reaches the maximum at the class of ν ¼ 4. In the otherordering classes within the high GLijr, the coefficients seem not to change muchacross the first three classes. But these coefficients are high for the last twoclasses. Interestingly, from this analysis, the coefficients (αitν ) are significant andlarger in magnitude for all classes and ordering within the high GLijr samplethan within the low GLijr sample. Moreover, within the high GLijr sample, thehigher ν classes have higher αitν in each of the two ordering. This indicates theimportance of product differentiation and the relative endowment differences.

The IRS and the HO explain why trade flows are low in SSA. The lower factorendowment ratio differences and the less extent of intra-industrial trade cannotgenerate perfect specialization. Given these results, trade policies like customunions or free trade agreements are likely to fail in SSA. SSA countries havesimilar factors of production, they produce homogeneous primary commoditiesand the level of product differentiation is not high enough to allow specializa-tion and increase demand across the border. Trade policies to boost trade withinSSA must focus on how to manufacture the regional goods in different varieties.

6 Conclusions

The finding of this article supports those of the previous works that SSA tradesless within itself. However, this article uses the HO and IRS theories to show thatcomparative advantage in production is an impediment to bilateral trade in SSA.I argue that the homogeneity of the factor proportions and the lack of productvarieties lower demand across borders in SSA. Similar factor endowment ratiosand the insignificant extent of product differentiation in SSA cannot generateperfect specialization and enhance regional trade. Based on these results, tradepolicies that aimed to promote trade within the region (i.e. FTA, custom unions)are likely to fail, because SSA countries produce similar homogeneous agricul-tural products. Product differentiation is the key to the success of trade within

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SSA. The main challenge is, therefore, industrialization and manufacturingproducts in more varieties.

Acknowledgments: I would also like to thank my reviewers at the differentconferences where this paper was presented. My appreciations go to Mr.Sawyer, William, editor at the Global Economy Journal as well for his construc-tive comments and recommendations.

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