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Irish Society of New Economists– 19th August 2011




Competing Explanations of Economic
  Growth: Comparing New Economic
               Geography (NEG) and
  Neoclassical Growth Theory for EU
                            Regions
                                 Justin Doran and Robert Butler
                                     Department of Economics,
                                        University College Cork,
                                                         Ireland
1.    Introduction
2.    What are
     a. New Economic Geography Theory
     b. The Solow Growth
3.    Growth Models
     a. New Economic Geography
     b. The Solow Growth
4.    Empirical Methods
5.    Data & Results
6.    Policy Implications
   This paper examines the explanatory power of two competing
    growth hypotheses for a sample on European NUTS2 regions.
    ◦ New Economic Geography (NEG) Theory
    ◦ Neoclassical Growth Model.

   The research provides an empirical estimation of the NEG
    wage equation and the Solow growth model to provide a
    comparative test as to which theory can best provide an
    explanation of European regional growth performance.

   The comparative explanatory power of these competing
    hypotheses is assess through the utilisation of a J-test.
   New Economic Geography (NEG) is based on increasing
    returns to scale emerging from microeconomic
    foundations (Fujita et al. 1999; Fingleton, 2007). NEG
    models are grounded in the Dixit-Stiglitz model of
    monopolistic competition.

   The authors identify two sectors
    Perfectively     competitive,   Monopolistic competition with
    displays diminishing returns    increasing returns to scale
    to scale and produces a         and provides a large variety of
    single, homogenous good.        differentiated goods.
   From Fujita et al. (1999) analyse a number of non-linear
    simultaneous equations which are central to NEG
    theory. The key equation derived is typically referred to
    as the wage equation.

   The wage equation relates the wages in a region to the
    market potential available to firms within that region.

   The market potential can essentially be thought of as a
    weighted measure of the income in other regions
    adjusted by transport costs.
• The Neoclassical growth model focuses on four key
  factors which are expressed in a constant returns to
  scale production function (Solow 1956).
    Capital, labour, savings and knowledge.

   Output of a worker depends on the amount of capital
    that worker possesses and the technological capacity of
    this capital and not the size of the economy overall.

   The accumulation of capital stock per worker is
    dependent on the rate of depreciation of capital, the
    rate of population growth and the rate of technological
    progress in the economy.
   NEG theory relates the economic activity of a given region to
    that region‟s market access. It is based on a series of
    simultaneous equations which describe the relative prices,
    market potential, income and wage rate of a given region.

   In the NEG model two sectors are envisaged operating across
    „r‟ regions with transport costs existing between all regions.

   Transport costs are assumed to follow Samuelson‟s iceberg
    form, where a proportion of the value of the good “melts”
    away as the good is transported from one region to another.
   A Cobb-Douglas function is assumed where
                        U  M  C 1
   For our empirical analysis the key equation is the wage
    equation which relates the wages in sector M, in region i
    to Pi, the market access of region i.

   The wage equation can be expressed as:
                                    1
                          wiM  Pi 

   The market access of a region depends on a number of
    critical factors and Pi can be specified as

                                T 
                                               1
                     P i   Yr GM  1
                                 r        ir
                          r
   Nominal income in region i is given as:

                      Y r r wrM  1   r wrC

   The M price index for region r Gr
                                    M
                                            is given as:
                                                              1

                    G      
                                                       
                                                   1       1
                      M
                      r      r wrM e ln Dir         
                              r                         

   Where are the transport costs between region i and region r
    and all other variables are defined as before.

   Finally transport costs are defined as:
                                        Tir  e ln Dir
   Solow‟s (1956) growth model specifies that output is a
    function of capital and labour, such that:

                        Y  f K , L 

   The model assumes constant returns to scale. This
    results in:
                     y  f k 


   It is possible to define the growth in the capital stock
    as:              k  sf k     n  g k
   The capital stock at a given time period as a function of
    the capital stock in the previous period adjusted for new
    capital,    depreciation,    population    growth     and
    technological advancement can be expressed as:


               kt  kt 1  sf kt     n  g kt 1
   These series of equations imply that the rate of
    economic growth in a region depends on the rate of
    capital accumulation within that region.
   Estimating the Wage Equation is done by converting the
    original wage equation into a double log form resulting
    in:
                                1
                  ln w    M
                                    ln Pit   it
                                
                          it



   Including technological advancement potential and
    labour efficiency across regions our equation yields the
    following: M     1
           ln wit        ln Pit   0  1S it  2t   it
                      
   Estimating the Solow Model we once again take the
    natural logarithm of the original production per worker
    equation resulting in
                     ln yit   ln kit  vit

   Solow equation is augmented to incorporate labour
    efficiency and technological progress. The proportion of
    the workforce employed in high technology sectors is
    again used as a measure of labour efficiency, while a
    time trend allows for technological advancement. This
    results in the following:
             ln yit   ln kit   0  1Sit   2t  vit
1                                     
            H 0 : ln wit 
                       M
                                 ln Pit   0  1Sit   2t   1 yit   it
                             
   Where π1 are the predicted values from the estimation of the
    Solow equation.

                                                          M
          H1 : ln yit  ln kit   0  1Sit   2t   2 wit  it

   Where π2 are the predicted values from the estimation of the
    NEG equation.
   If π1 is found to be statistically insignificant , then it is
    possible to reject H1. This would imply that the NEG model
    provides a better explanation of economic output than the
    Solow model.

   It is also necessary to test π 2. If π 2 is found to be
    statistically insignificant, then it is possible to reject H0. This
    would imply that the Solow model provides a better
    explanation of economic output than the NEG model.

   If neither hypothesis can be rejected, both can be deemed
    valid explanations of output across regions. In order to
    control for possible spatial dependence in the estimation of
    the models, all equations are estimated as specified above
    and include a spatial lag of the dependent variable.
   The data utilised by this paper is the Cambridge Econometrics
    Dataset from 1980 to 2009. Data on regional Gross Value
    Added (GVA), population, employment and capital flows are
    used.

   Due to the presence of significant gaps in data for some of
    the new accession states it was decided to exclude some
    economies from the analysis so as to provide the maximum
    possible time frame for analysis. This resulted in the dataset
    being reduced to cover what had traditionally been referred
    to as the EU-15 countries, with the exception of Luxembourg
    and East Germany. Hereafter, the composite regions and
    countries are referred to as the EU-14.
Table 1: Fixed Effects Estimation of Equations (12) and (14)
Variable                                       NEG              Solow
Constant                                     -10.0794***          -13.8540
                                                 (0.5647)         (0.2922)
Market Potential (lnP)                         0.1124***
                                                 (0.0060)
Capital per Worker (lnk)                                        0.3809***
                                                                  (0.0096)
Labour Efficiency (S)                          0.4354***           0.2047*
                                                 (0.1208)         (0.1105)
Technological Advancement (t)                  0.0067***        0.0099***
                                                 (0.0005)         (0.0002)
Spatial Lag (Wy)                                  0.0140*           0.0102
                                                 (0.0077)         (0.0070)
Obs                                                  5910             5910
F                                                 4460.10          5635.82
Prob > F                                           0.0000           0.0000
R2                                                 0.3599           0.4297
Note 1: *** indicates significant at 99%, ** indicates significant at 95%
         and * indicates significant at 90%.
Table 2: Fixed Effects Estimation of J Test equation (15) and (16)
Variable                                            NEG             Solow
Constant                                          7.2803            2.5803
                                                (0.6688)          (0.9465)
Market Potential (lnP)                        0.0969***
                                                (0.0053)
Capital per Worker (lnk)                                        0.3683***
                                                                  (0.0094)
Labour Efficiency (S)                            -0.0461        -0.2237**
                                                (0.1079)          (0.1100)
Technological Advancement (t)                -0.0066***        -0.0027***
                                                (0.0005)          (0.0007)
Spatial Lag (Wy)                                  0.0001           -0.0021
                                                (0.0068)          (0.0068)
ln Solow                                      0.9668***
                                                (0.0247)
ln NEG                                                          0.8625***
                                                                  (0.0474)
Obs                                                 5910              5910
F                                                4835.83           4835.83
Prob > F                                          0.0000            0.0000
R2                                                0.4592            0.4592
Note 1: *** indicates significant at 99%, ** indicates significant at 95%
         and * indicates significant at 90%.
   This paper has provided an analysis of two competing
    growth models; new economic geography (NEG) theory
    and the neoclassical growth model. Both models are
    estimated using data for fourteen EU countries for the
    time period 1980 to 2009.



   The paper indicates that both NEG theory and
    neoclassical theory can be used to explain regional
    economic output with competing predictions for EU
    regional convergence/divergence.
   Under NEG theory, the potential to promote regional equality is
    constrained by transport costs and the advantages associated
    with agglomeration. The development of better infrastructure
    and integrated markets will reduce these, if not removed them
    entirely.

   The accumulation of capital may be viewed as a more promising
    potential mechanism through which regional convergence can be
    achieved. This could be developed through the use of policy
    incentives directed towards the incentivisation of the investment
    of capital in poorer European regions.

   It is noteworthy that labour efficiency is found to have a positive
    effect on economic output.           This suggests yet another
    mechanism through which convergence can be pursued. The
    investment in human capital throughout EU regions should
    provide another route through which convergence can be
    achieved.
Doran and Butler (2011) ISNE Presentation

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Doran and Butler (2011) ISNE Presentation

  • 1. Irish Society of New Economists– 19th August 2011 Competing Explanations of Economic Growth: Comparing New Economic Geography (NEG) and Neoclassical Growth Theory for EU Regions Justin Doran and Robert Butler Department of Economics, University College Cork, Ireland
  • 2. 1. Introduction 2. What are a. New Economic Geography Theory b. The Solow Growth 3. Growth Models a. New Economic Geography b. The Solow Growth 4. Empirical Methods 5. Data & Results 6. Policy Implications
  • 3. This paper examines the explanatory power of two competing growth hypotheses for a sample on European NUTS2 regions. ◦ New Economic Geography (NEG) Theory ◦ Neoclassical Growth Model.  The research provides an empirical estimation of the NEG wage equation and the Solow growth model to provide a comparative test as to which theory can best provide an explanation of European regional growth performance.  The comparative explanatory power of these competing hypotheses is assess through the utilisation of a J-test.
  • 4. New Economic Geography (NEG) is based on increasing returns to scale emerging from microeconomic foundations (Fujita et al. 1999; Fingleton, 2007). NEG models are grounded in the Dixit-Stiglitz model of monopolistic competition.  The authors identify two sectors Perfectively competitive, Monopolistic competition with displays diminishing returns increasing returns to scale to scale and produces a and provides a large variety of single, homogenous good. differentiated goods.
  • 5. From Fujita et al. (1999) analyse a number of non-linear simultaneous equations which are central to NEG theory. The key equation derived is typically referred to as the wage equation.  The wage equation relates the wages in a region to the market potential available to firms within that region.  The market potential can essentially be thought of as a weighted measure of the income in other regions adjusted by transport costs.
  • 6. • The Neoclassical growth model focuses on four key factors which are expressed in a constant returns to scale production function (Solow 1956).  Capital, labour, savings and knowledge.  Output of a worker depends on the amount of capital that worker possesses and the technological capacity of this capital and not the size of the economy overall.  The accumulation of capital stock per worker is dependent on the rate of depreciation of capital, the rate of population growth and the rate of technological progress in the economy.
  • 7. NEG theory relates the economic activity of a given region to that region‟s market access. It is based on a series of simultaneous equations which describe the relative prices, market potential, income and wage rate of a given region.  In the NEG model two sectors are envisaged operating across „r‟ regions with transport costs existing between all regions.  Transport costs are assumed to follow Samuelson‟s iceberg form, where a proportion of the value of the good “melts” away as the good is transported from one region to another.
  • 8. A Cobb-Douglas function is assumed where U  M  C 1  For our empirical analysis the key equation is the wage equation which relates the wages in sector M, in region i to Pi, the market access of region i.  The wage equation can be expressed as: 1 wiM  Pi   The market access of a region depends on a number of critical factors and Pi can be specified as   T  1 P i   Yr GM  1 r ir r
  • 9. Nominal income in region i is given as: Y r r wrM  1   r wrC  The M price index for region r Gr M   is given as: 1 G      1 1 M r   r wrM e ln Dir   r   Where are the transport costs between region i and region r and all other variables are defined as before.  Finally transport costs are defined as: Tir  e ln Dir
  • 10. Solow‟s (1956) growth model specifies that output is a function of capital and labour, such that: Y  f K , L   The model assumes constant returns to scale. This results in: y  f k   It is possible to define the growth in the capital stock as: k  sf k     n  g k
  • 11. The capital stock at a given time period as a function of the capital stock in the previous period adjusted for new capital, depreciation, population growth and technological advancement can be expressed as: kt  kt 1  sf kt     n  g kt 1  These series of equations imply that the rate of economic growth in a region depends on the rate of capital accumulation within that region.
  • 12. Estimating the Wage Equation is done by converting the original wage equation into a double log form resulting in: 1 ln w  M ln Pit   it  it  Including technological advancement potential and labour efficiency across regions our equation yields the following: M 1 ln wit  ln Pit   0  1S it  2t   it 
  • 13. Estimating the Solow Model we once again take the natural logarithm of the original production per worker equation resulting in ln yit   ln kit  vit  Solow equation is augmented to incorporate labour efficiency and technological progress. The proportion of the workforce employed in high technology sectors is again used as a measure of labour efficiency, while a time trend allows for technological advancement. This results in the following: ln yit   ln kit   0  1Sit   2t  vit
  • 14. 1  H 0 : ln wit  M ln Pit   0  1Sit   2t   1 yit   it   Where π1 are the predicted values from the estimation of the Solow equation. M H1 : ln yit  ln kit   0  1Sit   2t   2 wit  it  Where π2 are the predicted values from the estimation of the NEG equation.
  • 15. If π1 is found to be statistically insignificant , then it is possible to reject H1. This would imply that the NEG model provides a better explanation of economic output than the Solow model.  It is also necessary to test π 2. If π 2 is found to be statistically insignificant, then it is possible to reject H0. This would imply that the Solow model provides a better explanation of economic output than the NEG model.  If neither hypothesis can be rejected, both can be deemed valid explanations of output across regions. In order to control for possible spatial dependence in the estimation of the models, all equations are estimated as specified above and include a spatial lag of the dependent variable.
  • 16. The data utilised by this paper is the Cambridge Econometrics Dataset from 1980 to 2009. Data on regional Gross Value Added (GVA), population, employment and capital flows are used.  Due to the presence of significant gaps in data for some of the new accession states it was decided to exclude some economies from the analysis so as to provide the maximum possible time frame for analysis. This resulted in the dataset being reduced to cover what had traditionally been referred to as the EU-15 countries, with the exception of Luxembourg and East Germany. Hereafter, the composite regions and countries are referred to as the EU-14.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21. Table 1: Fixed Effects Estimation of Equations (12) and (14) Variable NEG Solow Constant -10.0794*** -13.8540 (0.5647) (0.2922) Market Potential (lnP) 0.1124*** (0.0060) Capital per Worker (lnk) 0.3809*** (0.0096) Labour Efficiency (S) 0.4354*** 0.2047* (0.1208) (0.1105) Technological Advancement (t) 0.0067*** 0.0099*** (0.0005) (0.0002) Spatial Lag (Wy) 0.0140* 0.0102 (0.0077) (0.0070) Obs 5910 5910 F 4460.10 5635.82 Prob > F 0.0000 0.0000 R2 0.3599 0.4297 Note 1: *** indicates significant at 99%, ** indicates significant at 95% and * indicates significant at 90%.
  • 22. Table 2: Fixed Effects Estimation of J Test equation (15) and (16) Variable NEG Solow Constant 7.2803 2.5803 (0.6688) (0.9465) Market Potential (lnP) 0.0969*** (0.0053) Capital per Worker (lnk) 0.3683*** (0.0094) Labour Efficiency (S) -0.0461 -0.2237** (0.1079) (0.1100) Technological Advancement (t) -0.0066*** -0.0027*** (0.0005) (0.0007) Spatial Lag (Wy) 0.0001 -0.0021 (0.0068) (0.0068) ln Solow 0.9668*** (0.0247) ln NEG 0.8625*** (0.0474) Obs 5910 5910 F 4835.83 4835.83 Prob > F 0.0000 0.0000 R2 0.4592 0.4592 Note 1: *** indicates significant at 99%, ** indicates significant at 95% and * indicates significant at 90%.
  • 23. This paper has provided an analysis of two competing growth models; new economic geography (NEG) theory and the neoclassical growth model. Both models are estimated using data for fourteen EU countries for the time period 1980 to 2009.  The paper indicates that both NEG theory and neoclassical theory can be used to explain regional economic output with competing predictions for EU regional convergence/divergence.
  • 24. Under NEG theory, the potential to promote regional equality is constrained by transport costs and the advantages associated with agglomeration. The development of better infrastructure and integrated markets will reduce these, if not removed them entirely.  The accumulation of capital may be viewed as a more promising potential mechanism through which regional convergence can be achieved. This could be developed through the use of policy incentives directed towards the incentivisation of the investment of capital in poorer European regions.  It is noteworthy that labour efficiency is found to have a positive effect on economic output. This suggests yet another mechanism through which convergence can be pursued. The investment in human capital throughout EU regions should provide another route through which convergence can be achieved.