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          t e c h n I c a l   B o x   3 . 1 :   t h e   g r o w t h   r e g r e s s I o n


            to analyze the impact of the economic Complexity index (eCi) on future eco-  an increase in the eCi of one standard deviation would accelerate growth by 2.3
                                                                                                   th
          nomic growth we estimate two regressions where the dependent variable is the   percent per year in a country at the 10  percentile of income, by 1.6 percent in
                                                                                                                               th
          annualized growth rate of gDp per capita for the periods 1978-1988, 1988-1998   a country at the median income, and by 0.7 percent for countries in the 90
          and 1998-2008. in the first of these equations we do not include eCi and use   percentile. the variables contained in Column 2 jointly account for 43.4 percent
          only two control variables: the logarithm of the initial level of gDp per capita in   of the variance in growth rates. the difference between these two regressions
                                                                                                           2
          each period and the increase in natural resource exports in constant dollars as a   indicates that the eCi increases the regression’s r  in 15 percentage points. this
          share of initial gDp. the first variable captures the idea that, other things equal,   represents over a third of the explained fraction of the 43.4 percent of the vari-
          poorer countries should grow faster than rich countries and catch up. this is   ance that the equation explains as a whole.
          known in the economic literature as convergence. the second control variable   the estimates of the second column of table 3.1.1 are used to forecast the
          captures the effect on growth of increases in income that come from natural   growth in gDp per capita and rank countries according to their growth poten-
          resource wealth, which complexity does not explain. in addition, we include a   tial (see table 3.1.1). to predict average annualized growth between 2008 and
          dummy variable for each decade, capturing any common factor affecting all   2020 we make two assumptions. First, we assume a worldwide common growth
          countries during that decade, such as a global boom or a widespread financial   term for the decade, which we take to be the same as that observed in the 1998-
          crisis. taken together, these variables account for 28.5 percent of the variance   2008  period.  Changing  this  assumption  would  affect  the  growth  rate  of  all
          in countries’ growth rates. this is shown in the first column of table 3.1.1.   countries by a similar amount but would not change the rankings. second, we
            in addition to the above mentioned variables, the second regression includes   assume that there will be no change in the real value of natural resource exports
          the effect of economic complexity on growth. We do this by adding two addition-  as a share of initial gDp. this implies that the we assume that natural resource
          al terms: the eCi at the beginning of the decade and an interaction term between   exports in real terms in the next decade will remain at the record-high levels
          the eCi and the initial level of gDp per capita. the interaction attempts to cap-  achieved in 2008. this assumption may underestimate the effect on countries
          ture the idea that the contribution of economic complexity to future economic   whose volumes of natural resource extraction will increase significantly and
          growth depends on the level of per capita income. the second column of table   over-estimate the growth in countries that will see their natural-resource export
          3.1.1 shows that economic complexity is strongly associated with future eco-  volumes declines. a higher (lower) constant dollar price of natural resource ex-
          nomic growth. the negative coefficient on the interaction term indicates that   ports would improve (reduce) the projected growth performance of countries by
          the impact of complexity on growth declines with a country’s level of income.   an amount proportional to their natural resource intensity.
          For example, according to the estimation in Column 2, and using data for 1998,




           TA B L E   3 . 1 . 1
                                                                        Annualized growth in GDP pc (by decade)

                                                                            (1978-1988, 1988-1998, 1998-2008)
           VARIABLES                                                (1)                                    (2)

                                                                  -0.00017                              -0.00638***
           Initial Income per capita, log
                                                                   (0.001)                                (0.001)
           Increase in natural resource exports                  0.03960***                              0.03682***

           - in constant dollars (as a share of initial GDP)      (0.008)                                 (0.010)
           Initial Economic Complexity Index (ECI)                                                       0.04430***
                                                                                                          (0.009)

           [ ECI] X [Income per capita, log]                                                             -0.00371***
                                                                                                          (0.001)

           Constant                                              0.03036***                              0.08251***
                                                                  (0.008)                                 (0.011)
           Observations                                             291                                    291

           R 2                                                     0.285                                   0.434
           Year FE                                                  Yes                                    Yes
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