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Long-Run Economic Growth: Stagnations, Explosions and the Middle Income Trap

  • Robert C. Shelburne EMAIL logo
Published/Copyright: June 2, 2016
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Abstract

This paper explores the empirics of long-run economic growth by studying the pattern of growth for every country in the world between 1950 and 2015. Special emphasis is placed on ascertaining how the pattern of growth has changed over the last 65 years and how growth is related to the level of development. The analysis identifies historical time periods when growth stagnated or exploded and the levels of development where growth has a tendency to either stagnate or explode. Studying these growth episodes provides a number of insights into the question as to whether or not there is such a thing as a middle income trap. Although there are economies at every level of development that have stagnated for long periods, this study finds no evidence that this is systematically or uniquely related to middle income economies. An additional point of emphasis of this study is to highlight how the inclusion or exclusion of the former planned economies of Eastern Europe and the Soviet Union affect these results; and likewise how China’s exceptional performance affects these results. Generally it is found that because of the size and extraordinary performance (both good and bad) of China and the Economies in Transition (EiT), that excluding them from the sample has a quite significant effect on estimates of global long-run growth and trends regarding growth over time and by income level.

References

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Appendix

The growth rate for a 10-year period is calculated by first taking the ratio of income in ten years divided by the income in the base year (i. e., Y10/Y0) and from that calculating the instantaneous (continuous compounding) rate of growth over that period. Since Y10=Y0(1 + g)10, then the growth rate would be:

g=Y10/Y0(1/10)1×100

When a growth rate is calculated for an aggregated group of countries either by income level or time period, the income ratio is calculated for each country i, i. e., (Y10/Y0)i and then those are averaged over n countries, i. e., ∑i(Y10/Y0)i/n. The growth rate is then calculated from this, i. e.,

g=ΣiY10/Y0i/n(1/10)1×100.

Note that this provides a slightly different result from calculating the growth rate for each country over the ten year period and then taking an average of these, i. e.,

g=ΣiY10/Y0(1/10)1i/n×100.

Thus g’ does not equal g. This paper uses the formula for g.

Using a specific example, assume two countries both with income of 100 initially. After 10 years country 1 has an income of 160 and country 2 an income of 120; thus their income ratios are 1.6 and 1.2.The average is 1.40 and the implied growth rate would be 3.422. However, the implied growth rate for country 1 would be 4.812 and for country 2 it would be 1.840. The average of these two would be 3.226, which does not equal to 3.422.

Table 2:

Example of the difference in growth formulas.

Y0Y10Y10/Y0Growth rate
1001601.64.812239
1001201.21.839938
Average (g’)1.43.326088
Growth rate (g)3.421969
Published Online: 2016-6-2
Published in Print: 2016-9-1

©2016 by De Gruyter

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