Here is a paper by Bhattacharya and Sakthivel on regional divergence between the pre-reform and post-reform period.
The paper, albeit slightly dated, attempts to look at the divergence from several perspectives, among them population, inflation and sectoral composition. For most students of economics, this paper will seem very simplistic in its approach. For example, covergence cannot be measured solely on the basis of variance of state-level growth without accounting for differences in savings rates across states. With that caveat in mind, I have summarised the most important results that this paper presents.
- Convergence: As evidence of divergence, the authors first use the variance of SDP (State Domestic Product) growth rates, which increased from 0.14 in the 1980s to 0.29 in the 1990s; at the same time, variance of per-capita SDP growth rate increased from 0.22 in the 1980s to 0.43 in the 1990s. They also quote Ahluwalia (2000), who pointed out that the Gini coefficient, which remained stable till the mid-1980s, then increased from 0.16 in 1986-87 to 0.23 in 1997-98. Finally, the correlation between average SDP growth rates in the 1980s and 1990s comes out to be 0.5, which is statistically significant at the 5% level of significance.
- Growth and Population: Controlling for the abnormal circumstances in Assam and Orissa, the correlation coefficient between SDP growth and population growth in the 1990s was found to be -0.69, which is significant at the 1% level of significance (and note that SDP growth is not in per-capita terms). However, the result can be interpreted in two ways depending on the direction of causality. If economic growth results in lower population growth, then it is a good thing; because then, all we need to do to control population is to ensure higher economic growth. However, if it is the other way round, i.e. population growth reducing economic growth, then we have a problem at hand, because economic growth cannot take off until population growth is controlled. The authors do not attempt to find out the direction of causality.
- Growth and Inflation: The growth-inflation trade-off is fairly well-known, yet contentious. The authors take a preliminary view on this by finding out the correlation coefficient between SDP growth and inflation rate. They find that such a trade-off did not exist in the 1980s (correlation coefficient of -0.69, significant), however this trade-off began to appear in the 1990s (correlation coefficient of 0.25, not significant). The authors use this data to infer that it was supply-side economics that dominated in the 1980s, but that going ahead, it is likely to be demand that is going to be the major constraint.