  Policymakers often assess the growth of science in a country and compare it
with that of other countries to set future planning for scientific research
focusing on the sustainable development and economic growth of the country.
Here, we study the growth of science for the period of 1996-2020 corresponding
to the top fifty countries with the highest publications in 2020. It is found
that the annual growth rates of scientific and technical journal publications
exhibit Taylor's power law behavior indicating the dependence of the variance
on the mean growth rate and the distributions of annual growth rates follow
skew-symmetric distributions. Furthermore, we have computed the entropy based
on annual publication numbers among the countries to assess the spatial
disparity in the system. The entropy is found to increase mostly linear with
time reducing the disparity among the countries. By performing the linear
regression analysis, we predict that around the year 2046, all the countries
excluding China may equally contribute towards the growth of science. We have
also assessed the stability of the current USA ranking by computing the entropy
between the USA and other countries. Based on the regression analysis, it is
estimated that three potential countries such as Indonesia, India, and Iran may
take the ranks ahead of the USA around the years 2024, 2029, and 2041
respectively.
