Microsoft Word - 06_Makale(Rana Atabay).docx


 
Journal of International Trade, Logistics and Law, Vol. 1, Num 2, 2015, 85-92

 
VALIDITY OF LINDER HYPOTHESIS IN BRIC COUNTRIES 

 
Rana Atabay, (PhD) 

 
Istanbul Medipol University, Turkey 

 
Abstract:  
In this study, the theory of similarity in preferences (Linder hypothesis) has been introduced and trade in BRIC countries has been 
examined whether the trade between these countries was valid for this hypothesis. Using the data for the period 1996 – 2010, the study 
applies to panel data analysis in order to provide evidence regarding the empirical validity of the Linder hypothesis for BRIC countries’ 
international trade. Empirical findings show that the trade between BRIC countries is in support of Linder hypothesis.  
 
Keywords:  
BRIC countries, Linder Hypothesis, panel data analysis 
 
JEL Classification: F11, F14, F15 
 
1. Introduction 
In the study, it is mainly investigated that the trade between BRIC countries was valid for Linder hypothesis. 
According to this hypothesis, countries with similar standards of living will consume similar types of goods. The 
high-income countries, with large amounts of capital per worker, will therefore have similar tastes and largely trade 
with other high-income countries and poor countries will consume similar types of goods and trade largely with 
other poor countries. BRIC (Brazil, Russia, India, and China) countries to have specific importance in world trade, it 
refers to the emerging markets which are expected to become the world's strongest economies in the next 40 years. 
The abbreviation was first used by the Chairman of Goldman Sachs Asset Management, Jim O'Neill, in his 2001 
research report. In another 2003 report by the economists Dominic Wilson and Roopa Purushotaman, BRIC 
countries were expected to catch up with the G6 (France, Germany, Italy, Japan, the UK and the USA) countries in 
less than 40 years, and would later on become the leading force for growing demand and spending power. Given the 
human capital and natural resources in BRIC countries, this growth seems unavoidable. One of the reasons why they 
have such big potential is that India and China with their crowded population provide a high amount of output for 
the world economy despite their low per capita income. Another reason is that these countries have the potential for 
economic growth (Cooper, 2006; 2). These four countries are known to have apparent differences, which is one of 
the reasons why they have such potential. "The diversity among the BRIC countries, the balance between their 
abundant resources and foreign dependence as well as their geographic trends pave the way for their integration into 
the world economy." (O'Neill, Wilson, Purushotaman, Stupnytska, 2005; 3). However, there is still an uncertainty as 
to whether these countries will remain only an abbreviation or become integration. The differences among their 
economic performances, demographic structures and geopolitical interests raise questions about their performances 
as a group as well as individuals. 
 
As of 2010, South Africa officially became a member nation of BRIC and the group was renamed as BRICS. This 
paper estimates the gravity model for BRIC countries over the period of 15 years, from 1996 through 2010. This 
model is a variation of the one used by Choi (2002) to analyze the validity of Linder hypothesis for these countries. 
The Linder hypothesis claims that the countries with similar demand structures, measured by income per capita, 
trade more extensively between each other with the rest of the world.  
 
Section II provides a literature review. Section III presents the modified gravity model similar to Choi (2002); 
discusses the data sources and gives a summary of the sample statistics. Section IV presents the empirical results. 
Section V summarize the paper’s results and discuss their implications. 
 



86 Rana Atabay
 
2. Literature Review 
Linder presents a different explanation for the direction of trade in differentiated manufactures. He argues that 
producers in each country manufacture goods to satisfy the needs of the consumers in that country. Since not all 
consumers are alike and some prefer goods with different characteristics, international trade provides a means to 
obtain these other goods and benefit from a wider variety of goods (Marrewijk; 2004, 344). 
 
While Linder did not specify a formal model of his hypothesis, empirical tests of this theory have typically modeled 
some measure of trade intensity against the following variables: a measure of the size of each trading partner’s 
economy; a measure of relative prices between a given country and its trading partners; a measure of the difference 
in per capita incomes between a given country and its trading partners; and, relevant time-invariant factors such as 
distance (Mcpherson et al; 2001). 
 
There have been a number of studies focusing on the empirical investigation of Linder hypothesis. Hanink (1988, 
1990) used gravity models to show that international trade caused by market homogeneity. Greytak and Tuchinda 
(1990) examine the empirical validity of Linder’s demand side model and found strong support for the Linder 
hypothesis using interstate U.S. data. Francois and Kaplan (1996) found that general income levels rise, the relative 
volume of trade in manufactured consumer goods should rise, and the total volume of trade should rise, independent 
of changes in the intercountry difference between income levels, in their 36-country study of intra-industry trade. 
Tang (2003) found support that the developed APEC countries with similar per capita incomes tend to trade more 
with each other over the period 1985-1999 using a modified gravity model. Mcpherson and et al (2001) provided 
new information on the Linder hypothesis by focusing on developing countries and found support that five East 
African countries trade more intensively with others who have similar per capita income levels. Rauh’s paper (2010) 
results reaffirmed the Linder hypothesis for Germany’s international trade with other European countries and the 
results suggested that EU membership hugely increases Germany’s imports and exports. 
 
3. Emergence of BRIC’s and Their Role in the World Economy  
BRIC refers to the emerging markets which are expected to become the world's strongest economies in the next 40 
years. The abbreviation was first used by the Chairman of Goldman Sachs Asset Management, Jim O'Neill, in his 
2001 research report. In another 2003 report by the economists Dominic Wilson and Roopa Purushotaman, BRIC 
countries were expected to catch up with the G6 (France, Germany, Italy, Japan, the UK and the USA) countries in 
less than 40 years, and would later on become the leading force for growing demand and spending power. Given the 
human capital and natural resources in BRIC countries, this growth seems unavoidable. 
 
Even though Goldman Sachs did not use any certain criteria in evaluating the performances of these four countries, 
the countries were recognized as "important developing countries" with a potential to become "a major force in the 
world economy" in 40-50 years after 2001 (Wilson and Purushotaman, 2003). One of the reasons why they have 
such big potential is that India and China with their crowded population provide a high amount of output for the 
world economy despite their low per capita income. Another reason is that these countries have the potential for 
economic growth (Cooper, 2006; 2). These four countries are known to have apparent differences, which is one of 
the reasons why they have such potential. "The diversity among the BRIC countries, the balance between their 
abundant resources and foreign dependence as well as their geographic trends pave the way for their integration into 
the world economy." (O'Neill, Wilson, Purushotaman, Stupnytska, 2005; 3).  
 
Each of the BRIC countries has different characteristics. Brazil, the largest country in Latin America, possesses rich 
natural resources which will create the country's future economic impact. Numerous countries, including China, 
make major investments in Brazil to take advantage of its natural resources. Russia, too, is rich in natural resources 
and has a strong workforce, especially in the fields of science and engineering. India and China have a significant 
amount of human capital, and the economies of these countries have been developing very fast (Hitt, Li, 
Worthington, 2005). 
 



Validity of Linder Hypothesis in Bric Countries 87
 

  

Due to the favorable markets of the BRIC countries, firms in these countries have more bargaining power when 
setting up partnerships with multinational companies which seek to enter developing markets. BRIC firms not only 
get more information and resources compared to their foreign partners, but they are also likely to have relatively 
further capabilities especially in China and India. These countries can make use of their information and resources 
more quickly than their foreign partners. In addition, as they have more information and resources than their foreign 
partners, BRIC firms make use of the capabilities of less mature emerging markets. As a result, BRIC companies, 
compared to other emerging markets, have further advantages than multinational corporations (Hitt, Li, 
Worthington, 2005). Domestic policies and economies of the BRIC countries are also similar. While all are federal 
states, India has parliamentary democracy and Brazil has the presidential system. China is the Marxist People's 
Republic whereas Russia rules with an authoritarian democracy. Each of the four of the economies has a political 
structure that has formed over the centuries, and they are all home to different cultural and religious traditions 
(Armijo, 2007; 8). The heterogeneous structure created by such differences is one of the reasons why they are so 
successful. 
 
The importance of the BRIC countries results from their economic size. These are the largest economies outside the 
OECD and no other developing economy has an annual GDP of over $1 trillion. The three countries, except Russia, 
have shown greater growth than most countries in the world during the 2008 crisis. As shown in Table 3.1, China 
has become the world's largest exporter and the BRIC countries have increased trade among themselves. In 2010, 
Chinese-Indian trade exceeded 60 billion USD. In 2008, China became the largest market among East Asia's rapidly 
industrializing countries. At the same time, it was the biggest producer of carbon dioxide with 6.5 million tones, 
which make up 22% of carbon dioxide emissions in the world. Russia and India rank the third and the fourth. 
 

Table 3.1 Total Trade Volume between BRICs – 1996-2010, (000$) 

 
1996-2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 

BRA-
CHN 

1.173.547.758 3.230.511 4.074.972 6.681.162 9.152.222 12.189.516 16.391.711 23.366.568 36.443.061 36.101.975 56.379.045 

BRA-
IND 

224.948.004 828,198 1.226.920 1.039.440 1.208.622 2.340.844 2.412.844 3.122.782 4.665.945 5.605.938 7.734.723 

BRA-
RUS 

401.940.026 1.566.919 1.680.250 2.055.381 2.466.082 3.639.565 4.385.982 5.450.706 7.984.849 4.280.668 6.062.751 

CHN-
BRA 

1.339.220.073 3.698.157 4.469.402 7.985.547 12.346.965 14.819.733 20.289.600 29.740.543 48.670.899 42.399.500 62.560.099 

CHN-
IND 

940.262.580 3.594.926 4.945.035 7.594.602 13.614.037 18.700.493 24.858.745 38.668.535 51.844.266 43.380.848 61.760.271 

CHN-
RUS 

4.574.186.812 10.669.266 11.927.432 15.757.995 21.225.527 29.101.226 33.386.814 48.218.473 56.908.611 38.796.723 55.526.067 

IND-
BRA 

211.660.554 501,494 700,461 700,928 1.203.496 1.852.974 2.452.518 2.777.501 4.409.879 4.679.202 6.890.546 

IND-
CHN 

1.145.905.166 2.750.091 4.151.453 6.182.287 10.149.771 17.350.853 23.468.231 34.067.749 41.679.950 40.983.423 58.689.107 

IND-
RUS 

576.226.349 1.318.180 1.316.853 1.481.224 1.846.241 2.742.637 2.746.567 3.608.591 5.542.070 4.402.043 4.984.776 

RUS-
BRA 

486.080.862 1.114.310 1.534.073 1.735.775 1.738.110 2.951.369 3.713.000 5.237.590 6.711.368 4.593.000 5.799.156 

RUS-
CHN 

1.053.264.478 7.242.513 9.238.075 11.566.269 14.851.298 20.312.327 28.668.000 39.573.250 55.916.050 39.528.880 58.813.800 

RUS-
IND 

658.397.390 1.665.952 2.127.472 3.320.090 3.153.291 3.098.398 3.893.000 4.342.640 6.945.062 7.461.454 7.548.989 

Source: COMTRADE Database 



88 Rana Atabay
 
BRIC countries have a distinctive macroeconomic performance in the world economy. These four economies hold 
40% of the total foreign exchange reserves in the world and are among the ten countries with the largest foreign 
exchange reserves. China has foreign exchange reserves worth 2.4 trillion USD and is the second largest net creditor 
after Japan. When Russia began its market reforms in 1992, it did not have any foreign exchange reserves. However, 
today Russia holds 420 billion USD in its reserves. One sixth of foreign exchange reserves of the BRIC countries is 
enough to create a fund as large as the IMF (The Economist, 15th April 2010). Their foreign assets protected these 
countries against the 2008 global financial crisis and turned them into financial powers. While Western countries 
were struggling to cover their budget deficits and increasing debts, many investment banks recommended BRIC 
countries thanks to their stable public debt levels.  
 
To better understand the current position of the BRIC countries today, I believe the projected figures in the 
Goldman Sachs report of 2001 should be compared to current figures. According to the projections in the 2001 
report, in case BRIC countries continued with their strong growth at the same speed, these countries would hold a 
larger share of the world's economy. The best-case scenario suggested that these countries would account for 8% of 
the world's GDP. However, according to World Bank, this figure turned out to be 17% in 2010. China was estimated 
to reach Germany's economic size, yet in February 2011 Chine surpassed Japan and almost doubled the German 
economy. Brazil was estimated to reach Italy's economic size. In 2010, Brazilian economy passed Italian economy 
and became the 7th largest in the world (Table 3.2). In addition, despite their 2001 GDP worth 2.6 trillion USD, 
BRIC economies created a GDP worth over 11 trillion USD in 2010. 
 

Table 3.2 GDP Ranking of BRIC and G7Countries 

2000 2010 

Country Ranking Ranking Country 

USA 1 1 USA 

Japan 2 2 China 

Germany 3 3 Japan 

UK 4 4 Germany 

France 5 5 France 

China 6 6 UK 

Italy 7 7 Brazil 

Canada 8 8 Italy 

Brazil 9 9 India 

Mexico 10 10 Canada 

Spain 11 11 Russia 

Source: World Bank World Development Indicators GDP data 
 
In the past 50 years, the world economy has developed significantly. In the next 50 years, it is expected to continue 
to change as the BRIC’s share in the world GDP increases. When we compare BRIC economies with G6 economies, 
we can estimate that BRIC economies will reach half the size of G6 economies by 2025, and only the USA and Japan 
will remain among the largest 6 economies of the world by 2050. It was also estimated that the BRIC countries 
would play a more significant role in determining world's economic policies and that they would become a part of a 



Validity of Linder Hypothesis in Bric Countries 89
 

  

group like G7 or G8. However, this did not happen. The foreign affairs ministers of the four countries began 
political talks in New York in 2006 and the first BRIC Summit was held in Yekaterinburg, Russia in 2009. In the 
second summit in 2010, the countries reached a consensus on the inclusion of South Africa to the BRIC. In the 2011 
summit, a series of decisions were agreed upon that would make these countries less dependent on the dollar. 
 
The population of the BRIC countries has more than doubled in the past 50 years. This increase is expected to slow 
down in the next few decades, except for India. Despite expectations for an increase in the elderly population in 
developed countries, this increase is estimated to be get in the BRIC countries. By 2060, the average age will have 
increased from 40 to 44 in developed economies, and from 32 to 45 in the BRIC countries (Wilson, Burgi, Carlson, 
2011). An aging and shrinking labor market is expected to slow down the growth rate in the BRIC countries, which 
were responsible for over half of global growth in the past decade. In the Goldman Sachs report "The BRICS 10 
Years on: Halfway Through the Great Transformation" dated December 7, 2011, it is stated that global growth will 
reach a peak with a 4.3% increase in this decade and go down to 3.9% in 2020. The report points out that the long-
term economic growth rate of the BRIC countries has probably reached its peak. It also states that a decline in the 
growth speed of the working age population in these countries will lead to a smaller labor supply. This situation will 
limit the potential growth rate for the BRIC countries. According to the report, even though the BRIC countries will 
join the USA and Japan as the world's largest economies by 2050, it is expected that their contribution to the world’s 
economic growth will decline. 
 
4. Empiricial Analysis: Methodology and Data 
The gravity model is frequently used in empirical studies on economic integration. The model is successfully applied 
also to capital flows between countries, migration and tourism. The model is based Newton's "Law of Universal 
Gravitation". Newton's gravity model says that attraction between two bodies is inversely proportional to their 
masses and reversely proportional to the distance between them. According to the bilateral trade gravity model, in its 
most basic form, trade between two countries is inversely proportional to their GDPs and reversely proportional to 
the distance between them (Frankel, 1997; 50). According to the basic gravity model, the volume of trade between 
two countries is also a function of several variables including population, geographic distance, common language, 
common border, cultural proximity and common regional trade agreement (Amin, Hamid and Saad, 2009;20). 
 
Following the literature, the study applies a gravity equation with panel data. In the study, it is mainly investigated the 
trade between BRIC countries was valid for Linder hypothesis. In order to analyze the validity of Linder hypothesis 
for these countries, I adopt a modified gravity model similar to Choi (2002) but add some variables such as 
population and crisis. 
 =	 +	 +	 +	 +	 +	 +	  
 
where the dependent variable is the RATIOijt for the ratio of export volume from country i to j to the sum of these 
two countries’ GDP’s at the time period t. The independent variables are; LINDERijt is the ratio of the difference in 
per capita GDP to the sum of exporting and importing country’s per capita GDPs at the time period t; 
PGDPSUMijt is the sum of per capita GDP of both countries at the time period t; DISTijt is the distance between 
two countries i and j; POPit is the total population and CRISISit is the dummy variable showing the crisis years, 1997 
and 2008; finally εijt is the residual.  
 
In this study, annual data for the period 1996-2010 from four BRIC countries were used. GDP and population data 
were collected from World Bank World Development Indicators, foreign trade data from United Nations 
Commodity Trade Statistics Database (COMTRADE), and the distance data from the website 
http://www.daftlogic.com/projects-google-maps-distance-calculator.htm. Distances were calculated according to the 
"great circle" method in kilometers. The empirical study deals with 4 BRIC countries over the period 1996-2010 with 
60 observations totally. 
 
 



90 Rana Atabay
 

Table 4.1 Descriptive Statistics 

Variables Abbr. Definition Source 

Ratio RATIO 
A trade ratio defined as export from country i (exporting 
country) to country j (importing country) divided by the 
sum of country i’s GDP and country j ’s GDP at period t.

COMTRADE Database & World 
bank World Development Indicators

Linder 
hypothesis 

LINDER 
Calculates the per capita income similarity between 
countries 

World bank World Development 
Indicators 

Sum of per 
capita GDP 

PGDPSUM 
Calculates the sum of per capita GDP of both countries at 
the time period t. 

World bank World Development 
Indicators 

Distance DIST The distance between countries 
http://www.daftlogic.com/projects-
google-maps-distance-calculator.htm 

Population POP Total population of countries 
World bank World Development 
Indicators 

Crisis years CRISIS 
Shows the crisis years affected these countries; 1997 and 
2008 

Author’s choice 

 
5. Empirical Results 
The results obtained in the empirical analysis are in line with the earlier studies in the literature reviewed. All the 
coefficients are consistent with predictions. Panel regression results show that the trade between BRIC countries is in 
support of Linder hypothesis. 
 
All the variables are not stationary in level, but stationary in the first differences for the model. To determine which 
panel regression model to be chosen, Chow and Breush Pagan (BP) test results have been given in Table 5.1. While 
H0 hypothesis is pooled regression and H1 hypothesis is FEM in Chow test, in BP test H0 hypothesis is pooled 
regression and H1 is REM. 
 

Table 5.1 Panel Regression Estimation Method Selection Test Results 

Test p value Decision 

Chow(F test) 0.124 Ho accepted 

BP(χ2 test) 0.193 Ho accepted 

 
As a result of both tests, the pooled regression has been approved for use. In this case, not only the need Hausman 
test and pooled model estimation was analyzed using the EGLS (Cross-section weights) algorithm. 
 
According to Table 5.2, panel regression results show that the trade between BRIC countries is in support of Linder 
hypothesis. LINDER, DIST and CRISIS variables are negative and statistically significant. The finding of a negative 
and statistically significant effect of LINDER variable provides evidence in favor of the Linder hypothesis. The 
finding of a negative and statistically significant effect of DIST variable confirms the literature. The more distant the 
two countries are, the less they trade. The finding of a negative and statistically significant effect of CRISIS dummy 
variable reduces the trade volume between countries. PGDPSUM and POP variables are positive and statistically 
significant. The finding of a positive and statistically significant effect of PGDPSUM variable means that the richer 
countries tend to trade more. The finding of a positive and statistically significant effect of POP variable means that 
the more crowded countries tend to trade more. 
 
 



Validity of Linder Hypothesis in Bric Countries 91
 

  

Table 5.2 Panel Regression Results 

Variables Coefficient 

DLINDER 
-0.005208 **
(0.001222) 

DPGDPSUM 
1.03E-07 **
(1.21E-08) 

DDIST 
-1.58E-07 **
(4.39E-08) 

DPOP 
2.72E-12 **
(1.01E-12) 

CRISIS (dummy) 
-0.000412 **
(0.000160) 

R-squared 0.439475 

Prob (F-statistic) 0.000006 

Observations 60 

Note: Estimated standard errors appear in parentheses. 
** Indicate the significance at the 1% level.. 

 
6. Conclusion 
Trade between BRIC countries is growing in each year and these countries have a potential to become the largest 
economies in the world. In this study, trade in BRIC countries has been examined whether the trade between these 
countries was valid for Linder hypothesis by using modified gravity model. Previous researches have found similar 
results. This study used an extensive dataset and a modified gravity model. It was found that countries with a smaller 
difference of per capita GDP tend to trade more. It was also found that richer and more crowded countries trade 
more. Different from other studies, CRISIS dummy variable added and found that in crisis years which affected 
these countries, trade volume between them is reduced. 
 
References 
Amin, R., Mohd, Z.H. and Norma MD. S., 2009. Economic Integration Among ASEAN Countries: Evidence from 

Gravity Model. EADN Working Paper, No.40, February. 
Armijo, L.E., 2007. The BRICs Countries (Brazil, Russia, India, and China) As Analytical Category: Mirage or 

Insight?. Asian Perspective, 31(4), pp.7-42. 
Choi, C., 2002. Linder Hypotesis Revisited. Applied Economic Letters, 9, pp.601-605. 
Cooper, J., 2006. Russia as a BRIC: Only A Dream?. University of Birmingham European Research Institute, 

European Research Working Paper Series, 13, July. 
Francois, J. F. and Kaplan S., 1996. Aggregate Demand Shifts, Income Distribution, and the Linder Hypothesis. The 

Review of Economics and Statistics, 78(2), pp.244-250. 
Frankel, J. A., 1997. Regional Trading Blocs in the World Economic System. Institute for International Economics 

Publ., October. 
Greytag, D. and Tuchinda U., 1990. The Composition of Consumption and Trade Intensities: An Alternative Test to 

Linder Hypothesis. Weltwirtschaftliches Archiv, 126(1), pp.50-57. 
Hanink, D. M., 1988. An Extended Linder Model of International Trade. Economic Geography, 64(4), pp.322-334. 
Hanink, D. M., 1990. Linder, Again. Weltwirtschaftliches Archiv, 126(2), June, pp.257-267. 
Hitt, M.A., Li H. and Worthington W.J., 2005. Emerging markets as learning laboratories: Learning behaviors of 

local firms and foreign entrants in different institutional contests. Management and Organization Review, 1, 
pp.353-380. 

Marrewijk, C. V., 2004. International Trade & The World Economy. Oxford University Press: NY. 



92 Rana Atabay
 
McPherson, M. A., Redfearn M.R. and Tieslau M. A., 2001. International Trade and Developing Countries: An 

Empirical Investigation of the Linder Hypothesis. Applied Economics, 33, pp.649-657. 
O’Neill, J., Wilson D., Purushothaman R. and Stupnytska A., 2005. How Solid are the BRICs. Global Economics 

Paper No.1341, Goldman Sachs, December. 
Rauh, A., 2010. Empirical Analysis of the Linder Hypothesis: The Case of Germany’s Trade within Europe. The 

American Economist, 55(2), Fall, pp.136-141. 
Tang, D., 2003. Economic Integration Among the Asia-Pasific Economic Cooperation Countries: Linder Effect on 

Developed and Developing Countries (1985-1999). The International Trade Journal, 17(1), 19-49). 
 “The trillon-dolar club”, 2010. The Economist, [online]15 April. Available at: 

http://www.economist.com/node/15912964 
[Accessed 25 July 2011]. 
Thursby, J. G. and Thursby M.C., 1987. Bilateral Trade Flows, the Linder Hypothesis, and Exchange Risk. The 

Review of Economics and Statistics, 69(3), August, pp.488-495. 
Wilson, D., Burgi, C. and Carlson, S., 2011. Population Growth and Ageing in the BRICs. Goldman Sachs Global 

Economics, Commodities and Strategy Research, 11(05), pp.1-4. 
Wilson, D. and Purushothaman R., 2003. Dreaming with BRICs: The Path to 2050. Global Economics Paper No. 

99, Goldman Sachs, October 1.