2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 ECONOMIC GROWTH AND SOCIAL DEVELOPMENT: A PUZZLE Dr Rukhsana Kalim Professor of Economics, University of Mangement and Technology, Lahore, Pakistan, e-mail: drrukhsana@umt.edu.pk. Cell: 042-03054440614 Muhammad Shahbaz Lecturer, COMSATS, Institute of Information Technology, Lahore, Pakistan, shahbazmohd@live.com. Cell: 042- 0334-3664657 Acknowledgement I am highly indebted to the University of Management and Technology, Lahore (Pakistan) for providing me all the possible facilities to complete this paper. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 1 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 ABSTRACT Policy makers of developing countries usually face a dilemma of mismatch between economic growth and social development. They target to achieve high rate of economic growth with the proposition of its positive impact on social development. The growth experience of developing countries has been confused and puzzled as contrary to the expectations, the living standard of masses did not improve. The main aim of the present paper is to investigate the causal relationship between economic growth and social development in Pakistan for the period of 1971-2005. ARDL bounds testing approach has been used to examine cointegration between the two parameters while Ng-Perron is used to handle the problem of unit root. Finally, Toda and Yamamotoo (1996) and variance decomposition method is applied to find out direction of causality between economic growth and social development. Our empirical evidence reveals that bivariate causal relationship is found between economic growth and social development. Nevertheless, the effect of social development on economic growth is much greater than the effect of economic growth on social development. This indicates that trickle up hypothesis may be active dominantly in case of Pakistan over the study period. Keywords: Economic growth, Social Development JEL Classification: O11, O16 June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 2 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 ECONOMIC GROWTH AND SOCIAL DEVELOPMENT: A PUZZLE ABSTRACT Policy makers of developing countries usually face a dilemma of mismatch between economic growth and social development. They target to achieve high rate of economic growth with the proposition of its positive impact on social development. The growth experience of developing countries has been confused and puzzled as contrary to the expectations, the living standard of masses did not improve. The main aim of the present paper is to investigate the causal relationship between economic growth and social development in Pakistan for the period of 1971-2005. ARDL bounds testing approach has been used to examine cointegration between the two parameters while Ng-Perron is used to handle the problem of unit root. Finally, Toda and Yamamotoo (1996) and variance decomposition method is applied to find out direction of causality between economic growth and social development. Our empirical evidence reveals that bivariate causal relationship is found between economic growth and social development. Nevertheless, the effect of social development on economic growth is much greater than the effect of economic growth on social development. This indicates that trickle up hypothesis may be active dominantly in case of Pakistan over the study period. Keywords: Economic growth, Social Development JEL Classification: O11, O16 INTRODUCTION Economic growth and social development of the country reflect the well-being of individuals. The general belief is that economic growth is panacea for all the economic miseries via its positive impact on social development. The underlying proposition behind economic growth is that higher per capita income raises the living standard of people. The growth experience of developing countries revealed mixed trend. The East Asian countries like Korea, Taiwan, Malaysia, Indonesia, Thailand and Philippines experienced high growth rate and were successful in eradicating poverty. Contrary to this the South Asian Countries like Pakistan, India, Nepal, Bangladesh etc. could not uproot the poverty despite their satisfactory growth rates. These countries experienced different growth models and witnessed spectacular growth rate in Gross Domestic Product. Nevertheless, the benefits of economic growth in these countries had not been transmitted June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 3 2010 Oxford Business & Economics Conference Program effectively to the poor segments of the society. ISBN : 978-0-9742114-1-9 The poverty condition of masses remained deplorable. Since the beginning of the 1970s, the focus has been shifted from economic growth to social development. The argument put forward was to target social development than economic growth as the former would improve the living conditions of people (Sen, 1985). UNDP's Human Development Report (1990) clearly states that the main objective of the development is to provide such environment to individuals that would guarantee healthy, long and productive life. There is no denying fact that economic growth and social development are knitted together and there is causal relationship between the two. The Millennium Declaration signed by 189 countries in September 2000 set the Millennium Development Goals like eradicating extreme poverty and hunger, achieving universal primary education, reducing child mortality, and combating certain diseases etc (The World Bank, 2008). The prime emphasis to achieve the Millennium Development goals has been placed on creating such an environment in developing countries that would enhance the development process and be helpful in eliminating poverty (The World Bank, 2008). The empirical evidence about the direction of causality between economic growth and social development is still inconclusive (the discussion is followed in economic literature section). This paper is an attempt to test the trickle down and trickle up hypothesis in the case of Pakistan using new developed index of social development. Time series data of 34 years spanning from 1971-2005 is used. The paper is organized into different sections. Section II discusses the causal relationship between economic growth and social development both from theoretical as well as empirical point of view. Section III briefs the growth and social development of Pakistan in historical perspective. Section IV discusses the procedure of developing social development index. Section V explains methodology of testing the causal relationship between economic growth and social development. Section VI discusses results. The final section VII concludes the findings and gives some policy implications. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 4 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 II. LITERATURE REVIEW The causal relationship between economic growth and social development is based on the proposition that both are imperative for the progress of the economy. The economic literature mentions two approaches regarding the causal relationship between economic growth and social development “trickle down” and “trickle up”. “Trickle down” model of development remained powerful for a longer period of time. The model is based on Rostovian stages of development model, in which the economy experiences different stages of development finally to reach to a modern developed society. A group of researchers believes that the distribution of material well being is improved by the increase in per capita income (Hagen, 1980; Ram, 1985). Goldstein (1985) in his model assumes that economic factors will strongly affect at least one component of basic needs, infant mortality rates. Ram (1985) sees the improvement in basic needs fulfillment because of the increase in average per capita income. Bruno et al (1996) and Deininger and Squire (1996) advocate that economic growth reduces poverty but the extent of reduction in poverty depends on the level of income distribution. Jamal (1989) finds in his empirical study that social development is the outcome of economic growth in Pakistan. The empirical study for the period of 1971-72 to 2003-04 by Iqbal and Khurrum(2006) supports trickle down hypothesis for Pakistan and concludes that real economic development is the cause of social development. Contrary to this, Shahbaz (2010) concludes in his empirical study that economic growth in Pakistan increases income inequality which is a major obstacle in social development. Trickle up proposition is based on the assumption that social development enhances economic growth. Streeten (1977) propagated the basic needs approach for economic growth. According to him public services can play effective role in satisfying the basic needs of individuals. He also views the role of improved education, and health in economic growth (Streeten, 1981). There is another opinion that acceleration of economic growth takes place mainly because of the development of basic human capital (Hicks (1979, 1980). According to Thompson (1991) economic growth depends on social development. Temple and Johnson (1998) test the predictive power of social June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 5 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 development indexes developed in the early 1960s to explain economic growth. Their results suggest the importance of “social capability” for economic growth. According to Srinivasan, (1977) economic growth and social development are interwoven. The new paradigm shift rejects the income as the sole measurement of development or of the quality of life. Different indices of development have been constructed that include various parameters of development. For example, UNDP (1999) uses "Human Development Index" that includes variables like life expectancy, literacy education and income. Human Poverty Index by excluding income includes access to safe water, access to health services, and underweight children under five as a measure of standard of living. Sen (1985, 1992) suggests a broader measure of the well-being of people and uses "functionings" – or the ability to do things approach. Kenny (2005) makes an effort to estimate the relationship between GDP/per capita growth and growth in subjective well being in his cross-country analysis. By applying regression techniques his results for low income countries show a positive relationship between income and social well-being. Donglin (1996) in his study explains the past 15-year development of Changzhou city of China and social development. He includes science and technology, education, physical culture, public and social security, public health care, livelihoods, standards of living and family life in the development process and concludes that economic growth does not inevitably result in sustainable development (Donglin, 1996). In the nutshell, the economic literature shows mixed evidence on the direction of causality between economic growth and social development. III. ECONOMIC GROWTH AND SOCIAL DEVELOPMENT IN PAKISTAN Pakistan's growth experience was spectacular during the 1960s. Import substitution industrialization policy was adopted and the era of 1958-1968 was called 'the Decade of Development' with average GDP growth rate of 6.8%. The benefits of this high growth could not be trickled down to the poor segment of the society. High income inequality brought political unrest in the economy (see for details Zaidi, 2005). Proponents of high income inequality argued that inequality would lead to growth via generating more savings in the economy (Papanek, 1967). The era of 1970s witnessed slow growth June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 6 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 because of many national and international factors. Economic growth on average, showed a mixed trend in the subsequent year. For example, it was 4.8% in the 1970, and 6.5% in the 1980s, 4.6% in the 1990s and in the era of 2000-2008 (Pakistan Economic Survey, 2007-08). According to Zaidi (2005) Pakistan presents a development paradox, despite respectable economic growth its social sector development is disappointing. The growth did not transmit trickle down effect on social sector development. The United Nations Development Programme’s (UNDP) Human Development Report 2009 has ranked Pakistan 141 out of 182 countries in terms of the human development index (HDI). The Human Poverty Index (HPI-1), value of 33.4% for Pakistan, ranks 101st among 135 countries in year 2007. The under-five years mortality rate is 97 per 1,000 live births in 2006 as compared to India and Bangladesh where it is 57 and 52 respectively. Life expectancy at birth is 66 which is almost the same in India and Bangladesh. Adult literacy rate is 64% and 35% in male and female respectively which is mush lower than her neighboring country like India. In perspective of the slow-paced progress of the country, it is obvious that its progress is falling behind the UN millennium development goals (MGD) targets. One may say that fruits of economic growth have not been transmitted to the masses of the society in Pakistan. The economic growth record shows an upward trend over a period of time. Social development index is following the pace of economic growth at a very sluggish rate (Figure 1) with the exception of one year, 2000-2001 when social development index dropped down rapidly. Structural changes and political factors brought the sudden fall in the social development index. Figure-1 Trends in Economic Growth and Social Development June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 7 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Social Development and Economic Growth 220 200 Indices 180 160 140 120 100 80 1970 1975 1980 1985 1990 Years Social Development 1995 2000 2005 Economic Growth Economic growth has pulled up the social development that was lagging much behind the rate of economic growth. From social development perspective, economic growth did not bring any change in the standard of living of masses IV. CONSTRUCTION OF SOCIAL DEVELOPMENT INDEX (SDI) In order to test causality between economic growth and social development the appropriate indicators for the two are to be selected. As far as economic growth is concerned, the standard measure is per capita gross domestic product. For Social development, the relevant economic literature uses various variables as a proxy for social development. Some seem to generate index to indicate social development (Mazumdar, 1996) and some use human development index as proxy for social development (UNDP, 2009, Shahbaz, 2010). Many problems are encountered in the construction of social development index. For example, if index is based on subsets then there will be a problem of multicolinearity. This leads to influence the reliability and predicting power of the model. The excessive variables in the model may increase the cost to process and collect the data of relevant variables. It is necessary for an analyst to reduce multicolinearity by using appropriate procedure to generate a reasonable proxy or index for necessary variables to be used in the model for more reliable and accurate results. Principal component analysis (PCA) is an appropriate way to generate a suitable proxy June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 8 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 by using relevant variables. It is very useful to generate an index when we have subsets of measurements that are computed on identical levels which are highly interrelated. In doing so, we find a suitable variable which describes the explaining power of all variables included in subsets and combination of weights (scale). Keeping above, the present study uses the principal component analysis (PCA) approach to generate an index of social development for Pakistan using time series of all variables. Three broad categories for measuring SDI are taken viz; Demographic, Health; and Education. Demographic category includes telephone lines per 1000; urban population as a percentage of total population, life expectancy at birth, infant mortality rate. In the health category variables taken are; physician per 1000 of population and calories intake per capita as percentage of requirement; two variables pupil teacher ratio, and adult literacy rate as a percentage of total population over age 15 years are included in the category of education. Hence total eight variables have been included in the measurement of SDI. The choice of variables depends on the availability of data. The justification for the inclusion of these variables in the construction of SDI is followed below: Telephone Lines (TL): The greater access to telephone lines to a number of populations indicates the progress towards human development. Urban Population (UP): The underlying assumption behind the urban population as a percentage of total population is that this percentage of population enjoys many facilities associated with cities like medical, sanitation, and educational facilities (Mazumdar, 1996). Moreover urbanization is replica of economic development of a country. Life Expectancy at Birth (LEB): Life expectancy at birth reflects general conditions of health, nutrition, and income level. High rate of LEB shows better health facilities. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 9 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Infant Mortality Rate (IMR): Nutrition and sanitary conditions of the country are reflected by the infant mortality rate. It also shows how effective is the system of vaccination and protection against contagious diseases in the country. Physicians (Phys): An important aspect of social development is the availability of health services. If the ratio of physicians to population is high it means better health services are provided to the citizens. In poor countries this ratio is expected to be low as compared to rich countries. Physician per thousand of population, therefore, reflects a general picture of the health care facilities available in a country. Calories Intake (CAL): There is some minimum requirement of calorie intake per person for good health. Calorie intake below the minimum requirement in any country shows the dismal picture of social development there. Malnutrition is the outcome of low calorie intake which in turns affects the productivity. Pupil Teacher Ratio (PTR): Pupil teacher ratio indicates the quality of education. Higher ratio means that number of pupil assigned to one teacher is high that affects the quality of education. Adult Literacy Rate (ALR): This indicator also reflects the quality of life. High adult literacy rate shows that one of the basic human rights is provided to the people of the country. Thirty four year annual data is collected for the period of 1971-2005. The data for all variables has been collected from different World Development Indicators (WDICD-ROM, 2008)1. V. METHODOLOGY AND DATA In the present study, two different approaches are applied to find out order of integration and cointegration between social development and economic growth. The methodological backgrounds of both tests have described respectively. 1 The data on SDI is available from authors upon request. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 10 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Ng-Perron Unit Root Test Ng-Perron (2001) developed a test statistics wherein GLS is applied to de-trend the series Dtd . The critical values of the tests are based on those of Philip-Perron (1988) Z and Z t statistics, Bhargava (1986) R1 statistics, and the Elliot, Rotherberg and Stock (1996). The following annotations are used: k T (D d t 1 t 2 (2) )2 / T 2 The de-trended GLS tailored statistics is given by: MZ ad (T 1 ( DTd ) 2 f ) /( 2k ) MZ td MZ a MSB MSB d (k / f )1 / 2 2 2 MPTd (ck c T 1 ( DTd ) 2 / f , and , (c k (1 c)T 1 ( DTd ) 2 / f … (3) ARDL Bound Testing for Cointegration The ARDL bound testing method is applied to confirm the existence of cointegration between two macroeconomic series. Let xt represent a time series vector xt {GDPC, SDI } is applied within an unrestricted vector autoregression (VAR) framework: q zt j zt t (4) j 1 where, z t [ y t , xt ]' ; is a vector of constant, [ y , x ]' and is a matrix of vector autoregressive (VAR) parameters of lag j. Following Pesaran, Shin and Smith [PSS] (2001), a pair of time series yt and xt may be stationary at either I(0) or I(1) or integrated at mixed order of integration i.e. I(0) / I(1). The error terms vector t [ y ,t , x,t ]' ~ N (0, ) , where is positive definite. Equation-4 in its modified form can be written as a vector error correction model as given below: q 1 z t z t 1 j z t t (5) j 1 where, 1 L , and June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 11 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 yy , jyx, j xy, jxx, q j k j k j 1 Here, is the long run multiplier matrix written as follows: q yyyx j ( I j) j 1 x yx x (6) (7) I represent an identity matrix. The diagonal essentials for the matrix are left unrestricted. This entails that every variables may be integrated at either I(0) or I(1). Using said procedure, one can find maximum number of cointegrating equations which includes both yt and xt , such that either yx or xy can be non-zero, or zero. To check the affect of economic growth on social development in long span of time, the restriction xy 0 indicates that economic growth has no long run impact on social development. Under this assumption (that is xy 0 ), Equation-7 can be rewritten as follows: q 1 q 1 j 1 j 1 yt T 1 yt 1 2 xt 1 y, j yt j x, j yt j xt t (8) where; y ' x ; 1 yy ; 2 yx 'xx ; y, j yy , j 'xy , j and x. j yx, j ' xx, j . Simply for empirical estimations we are going to estimate two empirical models such as q 1 q 1 j 1 j 1 GDPCt T T GDPCGDPCt 1 SDI SDI t 1 GDPC GDPCt j SDI SDI t j t q 1 q 1 j 1 j 1 SDI t T T SDI SDI t 1 GDPCGDPCt 1 SDI SDI t j GDPC GDPCt j t (9) (10) The ARDL model of PSS (2001) is represented by an unrestricted error correction model (UECM). Both equations 9 and 10 can be estimated by ordinary least squares. The Fstatistics is used to test the long run relation among the series. The null hypothesis is: GDPC GDPC SDI SDI 0 against the alternate GDPC GDPC SDI SDI 0 . June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 12 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 We may posit that there is long run association is existed between variables whether underlying variables are integrated at I(0) or I(0) if generated upper critical bound is less than our calculated F-statistics. The decision of no cointegration is accepted if calculated F-statistics is less than lower critical bound. Finally, it is documented that the decision about cointegration is unconvincing when calculated F-statistics is between lower and upper critical bounds. Furthermore, the decision about cointegration is made based on upper critical value if running variables are stationary at 1st difference. If running variables are integrated at I(0) then decision about cointegrated is taken basing on lower critical bounds. In doing so, ARDL bounds testing approach is used to investigate long run association between the variables. In terms of the PSS (2001), the distribution of Fstatistics is based on the order of integration of the series. The ARDL bound testing calculates (p + 1)k number of regressions, where p refers to the appropriate order of the lag and k to the number of actors in the equation to be estimated. The stability test is conducted by employing CUSUM and CUSUMsq. Toda and Yamamoto (1995) approach is being employed to examine the direction of causal relation between economic growth and evolution of social development in the case of Pakistan. This approach solves the problem of unacceptable asymptotic critical bounds when causality tests are applied over the non-stationary time series. Toda and Yamamoto (1995) causality approach is applicable if variables are stationary at different order of integration (Zapata and Rambaldi, 1997). The augmented approach of non-causality developed by Toda and Yamamoto (1995) is applicable in level vector auto regressions (VARs) irrespective of whether variables are integrated at same order of integration or not. VAR can be estimated with out true lag order k but it is applicable with (k d ) lag order where d indicates possible order of integration for variables. The Toda and Yamamoto (1995) causality test is examined by performing hypothesis exercise disregarding the additional lags k 1,..., k d in vector auto regression (VAR). The TodaYamamoto causality technique involves the estimation of the following models: GDPC k d max GDPC i 1 2 t 1 June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK k d max SDI i 1 3 t i 1 (11) 13 2010 Oxford Business & Economics Conference Program SDI k d max k d max i 1 i 1 2 SDI t i ISBN : 978-0-9742114-1-9 GDPC 3 t i 2 (12) Where, GDPC and SDI indicate economic growth and social development repetitively. In the models, each variable is regressed on each other with lag order starting from 1 towards k d max , 1 and 2 are the error terms, k indicates the maximum number of lags to be taken while d shows order of integration of running variables. Since the procedure requires a VAR only in levels, it does not lead to a loss of information as it would happen in the case of differencing. For this reason, the procedure can be used only as a long-run test. V1. RESULTS The report on descriptive statistics and correlation matrix between variables is briefed in Table-1. The empirical evidence by Jarque-Bera confirms that economic growth and social development are normally distributed. The correlation coefficient indicates high correlation between economic growth and social development over the time period taken for the case of Pakistan. Table-1 Descriptive Statistics and Correlation Matrix Variables Mean Median Maximum Minimum Std. Dev. Skewness Kurtosis Jarque-Bera Probability GDPC SDI GDPC 9.96034 10.0392 10.3356 9.54057 0.25798 -0.34805 1.61914 3.48737 0.17487 1.00000 0.88693 SDI 4.76237 4.76489 4.99886 4.60362 0.11378 0.39900 2.17751 1.91525 0.38380 0.88693 1.00000 The relevant economic literaure indicates that ARDL bounds tesing appriach is applicable without distinguishing the intgertaing order of running actors in the model. In other word, there is no problem if variables are integrated at I(0), I(1) or variabes are stationary at mixed order. Sezgin and Yildirim (2002) have noted that alternative June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 14 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 cointegration approcah requires that variables should be stationary at same level of integration to exmaine cointegration among the variables. But ARDL abounds testing approch for cointegration is till applicable if variables are staionary at ambegious integrating order i.e. I(1) or I(0). Ouattara (2004) probes that F-value generated by PSS (2001) is based on assumptions such as variables should be inetgarted at I(0) or I(1). The generated value of F-values becomes useless if any variables is stationary at 2nd difference i.e. integrated at I(2). İt indicates that there is need to apply unit root test. The application of unit root tests ensures us that no variable is integrated at I(2). In doing, Ng-Perron (2001) test is applied to ensure that EC and SDI are integrated at I(1) or I(0) or integrated at mixed order of integration. The Ng-Perron test is more suitable for small sample data set and provides results with high explanatory power as compared to other traditional tests such as ADF (Dicky and Fuller, 1979), P-P (Philip and Perron, 1989) and DF-GLS (Elliot et al. 1996). Mentioned tests have poor properties and poor size (Harris and Sollis, 2003). Results of Ng-Perron unit root are reported in Table-2. The empirical results show that economic growth (GDPC) and social development (SDI) are stationary at I(1) rather than at I(0). The similarity of integrating order leads us to apply ARDL bounds testing approach to examine cointegration between economic growth and social development in Pakistan. The existence of cointegration will confirm the long run relationship between both variables. Table-2 Ng-Perron Unit Test with Intercept and Trend Variables MZa GDPC -2.7940 ΔGDPC -20.2917** SDI -12.0898 ΔSDI -23.2106** MZt -1.1428 -3.1564 -2.3999 -3.3999 June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK MSB 0.4090 0.1555 0.1985 0.1464 MPT 31.4097 4.6631 7.8464 3.9657 15 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Table-3 Lag Length Selection Lag LogL AIC SC 1 147.2503 -8.3088 -8.0394 2 148.1657 -8.3736* -7.9201* * indicates lag order selected by the criterion LogL: Log likelihood AIC: Akaike information criteionr SC: Schwarz information criterion The two step procedure of ARDL bound testing by PSS (2001) requires lag length of variables. The order of lag length has been selected by estimating 1st difference of the conditional error correction version of ARDL. The Akaike Information Criteria (AIC) is used to select the lag order of variables. It is also revealed in empirical literature that the calculation of ARDL F-statistics is sensitive to the selection of lag order in the model (see for example, Bahmani-Oskooee and Brooks 1999; Bahmani-Oskooee et al 2006 and Bahmani-Oskooee and Harvey 2006). Based on the results, the appropriate lag length is selected as 2. It shows the number of total regressions generated by following ARDL methodology that is (2+1)2 = 9 in every estimated equation. Table-3 indicates the appropriate lags based on estimates that we can not take lag more than 2 in such sample data set. The appropriate selection of lag order is necessary for unbiased and reliable results. The empirical results reported in Table-4 reveals cointegration between economic growth and social development. We have used critical bounds generated by Turner (2006). The main reason is that critical values developed by PSS (2001) and Narayan (2005) are less suitable for small data set. The calculated F-statistics is 6.1150. It entails that upper critical bounds is less than calculated F-statistics at 10 % level of significance. If we compare our calculated F-value with critical values developed by PSS (2001) then cointegration is existed at 5% significance level. It is concluded that both criterion show cointegration. This implies long run relationship between economic growth and social development for the case of Pakistan over the period. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 16 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Table-4 ARDL Bound Testing Procedure for Cointegration Dependent Variable Lag GDPC SDI Pesaran et al (2001) a Critical Lower Upper Values Bound Bound 1% 6.84 7.84 5% 4.94 5.73 10 % 4.04 4.78 F-Statistic 2 4.4767 6.1150* Turner (2006) b Lower Upper Bound Bound 7.763 8.922 5.264 6.198 4.214 5.039 * indicates significance at 10 % level with unrestricted intercept and trend a Critical values are obtained from Pesaran et al (2001). b Critical Values are from Turner. P (2006) The direction of causal association between economic growth and social development (one-way causality or bivariate causality) is examined by applying Granger causality. Actually, when long run relation or cointegration is found between the variables then investigation of causal relation is necessary but not sufficient condition (Morley, 2006). It is documented that cointegration between the variables suggests that there must be causal relation at least running from one side. Table-5 Granger- Causality Analysis Direction of Causality at lag 1 Null Hypothesis F-Statistic Probability SDI does not Granger Cause GDPC 3.55324 0.06883 GDPC does not Granger Cause SDI 6.26370 0.01781 SDI does not Granger Cause GDPC 3.45242 0.04569 GDPC does not Granger Cause SDI 3.31720 0.05095 Direction of Causality at lag 2 It is argued by Groenewold et al. (2007) that Granger-causality test is applicable whether variables are integrated at different orders of integration if long run relationship is found. The use of Granger causality test is justifiable after establishing cointegration and stable long run relationship between underlying variables. The empirical evidence on the June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 17 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 direction of causality is reported in Table-5. The results are on the basis of both lags. Results based on lag-2 are more appropriate and indicate bivariate causality between economic growth and social development. Although, there is two-way causal relationship between said variables but strong causality is running from social development to economic growth. This indicates that trickle up hypothesis is more active dominantly in case of Pakistan over the study period. Variance decomposition is a better option as compared to impulse response function to investigate the response of regressand variable due to innovative shocks of forcing or regressor or independent variables. This approach is used to explain how much of predicted error variance for any variable is described by innovative shocks by each forcing variable in the system over the time periods. The empirical evidence about explanation of one variable through its innovative shocks and innovative shocks of other variables is reported in Table-6. The results indicates that economic growth (GDPC) is explained 100% by its innovative shocks at initial time horizon while 0.000% by social development (SDI) innovative shocks but social development is described 99.17556% by its shocks and rest is by economics growth (GDPC). June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 18 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Table-6 Variance Decomposition Approach Variance Decomposition of GDPC Period S.E. GDPC SDI 1 0.017939 100.0000 0.000000 2 0.025474 99.28721 0.712791 3 0.033479 91.74363 8.256366 4 0.041771 83.45230 16.54770 5 0.049568 77.40263 22.59737 6 0.056618 73.28632 26.71368 7 0.062932 70.45005 29.54995 8 0.068601 68.43330 31.56670 9 0.073721 66.95035 33.04965 10 0.078378 65.82557 34.17443 11 0.082642 64.94878 35.05122 12 0.086569 64.24895 35.75105 13 0.090205 63.67889 36.32111 14 0.093587 63.20641 36.79359 15 0.096743 62.80890 37.19110 Table-7: Variance Decomposition Approach Variance Decomposition of SDI Period S.E. GDPC SDI 1 0.043346 0.824436 99.17556 2 0.052467 0.662033 99.33797 3 0.054046 0.923809 99.07619 4 0.054427 2.053766 97.94623 5 0.054959 3.758551 96.24145 6 0.055741 5.672853 94.32715 7 0.056667 7.574573 92.42543 8 0.057649 9.365149 90.63485 9 0.058634 11.01323 88.98677 10 0.059598 12.51741 87.48259 11 0.060527 13.88766 86.11234 12 0.061419 15.13721 84.86279 13 0.062271 16.27931 83.72069 14 0.063086 17.32603 82.67397 15 0.063864 18.28804 81.71196 June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 19 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 Table-6 and 7 shows that how Variance Decomposition method breaks forecast error variance of running variables into its components using VAR mechanism. In doing so, innovative shocks indicate accurate explanations basing on their association. The forecast error variance decomposition approach of unrestricted VAR (3) is used to estimate the forecast error over a 15-year time period. It is noted that economic growth (GDPC) is explained almost 63% by its innovative while 37% portion of economic growth is described by innovative shocks of social development (SDI) at 15th time period. Table-7 reports that innovative shocks of economic growth (GDPC) elucidate social development (SDI) 18% while rest (almost 82%) is enlightened by innovative shocks of social development (SDI). This result also supports the findings of Granger causality test that trickle-up hypothesis is dominantly active in the case of Pakistan. VI1. CCONCLUSION AND POLICY IMPLICATIONS Policy makers of developing countries usually face a dilemma of mismatch between economic growth and social development. They target to achieve high rate of economic growth with the proposition of its positive impact on social development. The growth experience of developing countries has been confused and puzzled as contrary to the expectations, the living standard of masses did not improve. The economic literature has discussed two hypotheses “trickle-up” and “trickle-down” regarding the nexus between economic growth and social development. The former hypothesis propagates that social development causes a change in economic growth. The latter rests on the assumption that economic growth is a prerequisite for social development of the economy. The paper has examined the causal relationship between economic growth and social development in Pakistan. Cointegration test supported the long-run relation between economic growth and social development. The Granger Causality test shows that there is bi-directional causality from economic growth to SDI and from SDI to economic growth. The variance decomposition approach tells that the share of SDI to the variations in GDP per capita is 37 percent and the share of GDP per capita to the SDI variation is 18 percent. These results show that the response of SDI to economic growth is much higher June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 20 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 than the other way round. Contrary to the study done by Jamal (1989) that supported the trickle down hypothesis in case of Pakistan, the results in the present study do not reject exclusively trickle down or trickle up hypothesis. However as the effect of SDI on GDP per capita is greater than the effect of GDP per capita on SDI, trickle up hypothesis may be stronger in case of Pakistan. June 28-29, 2010 St. Hugh’s College, Oxford University, Oxford, UK 21 2010 Oxford Business & Economics Conference Program ISBN : 978-0-9742114-1-9 References Bahmani-Oskooee, M, and Harvey, H. (2006). How Sensitive are Malaysia’s Bilateral Trade Flows to Depreciation?. Applied Economics, (38), 1279-1286. Bahmani-Oskooee, M., and Brooks, T. J. (1999). 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