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The relationship between population growth and standard-of-living growth over 1870–2013: evidence from a bootstrapped panel Granger causality test

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Abstract

This paper examines the linkages between population growth and standard-of-living growth in 21 countries over the period of 1870–2013. We apply the bootstrap panel causality test proposed by Kónya (Econ Model 23:978–992, 2006), which accounts for both dependency and heterogeneity across countries. We find one-way Granger causality running from population growth to standard-of-living growth for Finland, France, Portugal, and Sweden, one-way Granger causality running from standard-of-living growth to population growth for Canada, Germany, Japan, Norway and Switzerland, two-way causality for Austria and Italy, and no causal relationship for Belgium, Brazil, Denmark, Netherlands, New Zealand, Spain, Sri Lanka, the UK, the USA, and Uruguay. Dividing the sample into two subsamples due to a structural break yields different results over the two periods of 1871–1951 and 1952–2013. Our empirical results suggest important policy implications for these 21 countries as the directions of causality differ across countries and time period.

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Notes

  1. The literature typically focuses on the relationship between population growth and economic growth, rather than standard of living growth. An older, but comprehensive literature review can be found in Cassen (1976).

  2. The 21 countries include Austria, Belgium, Brazil, Canada, Denmark, Finland, France, Germany, Italy, Japan, Netherlands, New Zealand, Norway, Portugal, Spain, Sri Lanka, Sweden, Switzerland, the U.K., the U.S. and Uruguay. Researchers estimated growth regressions over the years that use a large number of variables to explain economic growth. In our case, however, the lack of continuous data on these variables over the entire sample period restricts our analysis to a bivariate model rather than a multivariate model.

  3. Summary statistics reveal that Japan and Uruguay experience the highest and lowest per capita real GDP growth rate of 2.4 and 1.1 %, respectively. Brazil and France experience the highest and lowest mean population growth rate of 2.13 and 0.37 %, respectively.

  4. We use POG to represent population growth and PEG to represent standard-of-living growth. That is, standard-of-living growth equals the growth rate of real GDP minus population growth.

  5. The alternative panel Granger causality test was developed by Hurlin (2008). The method, however, does not control for cross-sectional dependence, and only provide results for the full-sample.

  6. See Kónya (2006) for more details of the bootstrapping method and of country-specific critical values.

  7. As indicated by Kónya (2006), this is an important step because the causality test results may depend critically on the lag structure. In general, lag decisions may cause different estimation results. Too few lags mean that some important variables are omitted from the model and this specification error will usually cause incorrect estimation in the retained regression coefficients, leading to biased results. On the other hand, too many lags will waste observations and this specification error will usually increase the standard errors of the estimated coefficients, leading to inefficient results. Based on Schwarz Bayesian Criterion, we find the optimal lag is 6 for our estimated model.

  8. To save space, we do not report the results from the lag selection procedure, but these results are available on request.

  9. T > N is the basic requirement for our bootstrap panel causality test.

  10. To save space, see Pesaran and Yamagata (2008) for the details of Swamy’s test and the estimators described in Eq. (8). .

  11. The reader is referred to Kónya (2006) for explanations of the bootstrap procedure and how the country-specific critical values are generated. Note that the sign of the causal effect is derived from the sum of the coefficients of the variable considered as independent in a specific equation. So in our case, the sign is based on the sum of the coefficients on the six lags of the causal variable.

  12. Multiple other break dates exists, as rightly pointed out by an anonymous referee, in both the standard of living and population growth rate equations, based on the CUSM and Bai and Perron (2003) tests of structural breaks applied to each of the 21 countries separately—details of which are available on request. The approach that we undertake, however, does not allow us to model breaks using dummy variables (as suggested by the referee). Hence, we had to rely on the break determined by the CUSUM test based on cross-sectional averages. Using the Bai and Perron (2003) test on the cross-sectional averages also identified multiple structural breaks. But, we could not split our samples, since some of the sub-samples would imply that T is no longer greater than N, and would make the Kónya (2006) approach infeasible. In such a situation, an ideal methodology to pursue would be time-varying causality. Time-varying causality, however, is currently restricted to only time-series data. Hence, while our panel approach allows us to analyze causality for each of the cross-sectional units explicitly, unlike standard panel data approaches that provide an overall estimate for the panel, the inability to model breaks using dummy variables can be considered as a drawback of our approach.

  13. As suggested by an anonymous referee, we conducted the analysis for the full-sample, as well as the sub-samples by dropping Uruguay and Sri Lanka from our panel of 21 countries. For the 19 countries considered, the results for the sub-samples were virtually the same for the 21 countries. The only exceptions were that under the null that population growth does not Granger cause standard-of-living growth, we could not reject the null hypothesis for Austria and Finland. The differences between the 19 country case and the 21 country case were quite stark when we dropped Uruguay and Sri Lanka from the full-sample. Under the null hypothesis that population growth (standard-of-living growth) does not Granger cause standard-of-living growth (population growth), we reject the null hypothesis for only 3 (2) countries, namely Austria, Italy and the Netherlands (Italy and New Zealand). We believe that the weak results for the full-sample could reflect the existence of cross-sectional dependence between the 21 countries (i.e., with Uruguay and Sri Lanka included). Further, note that it is quite well-accepted that panel data results are sensitive to the cross-sectional units chosen, since there selection bias may exist. This is specifically why, we did not choose countries based on certain pre-conceived categorization, but went with these 21 countries for which data were available over the entire sample period of 1871–2013. But having said this, it is also true that Granger causality tests are sensitive to structural breaks. So, when we rely on the sub-sample analysis, our results are consistent for the included countries across the 19 and 21 countries cases.

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Acknowledgments

We would like to thank two anonymous referees for many helpful comments.

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Correspondence to Hsiao-Ping Chu.

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Chang, T., Chu, HP., Deale, F.W. et al. The relationship between population growth and standard-of-living growth over 1870–2013: evidence from a bootstrapped panel Granger causality test. Empirica 44, 175–201 (2017). https://doi.org/10.1007/s10663-016-9315-9

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