Analysis of Population Growth of India and Estimation for Future

Abstract

Since times, uncontrolled human population growth has been posing a threat to the earth"s resources and to the habitats themselves. Population of India has been increasing dramatically since late 1900"s. India as a developing nation should deal quite tactfully with this issue. We work here to estimate the population growth of India since 2009 to 2012 using the logistic model approach and give a comparison with actual population of India for the same time period. An error equation is also deduced based on the trend line for the specified time period and the population of India for the year 2013and onwards till 2025 is estimated. The time required for India to reach its carrying capacity is also discussed. A relevant conclusion is also made based on the obtained results. This work will provide an insight to the changing trends with respect to India"s population growth. NOTATIONS t Time t in years P t Population at time t P 0 Population at reference time t=0 i.e. year 2007 K Population carrying capacity k Maximum growth rate e t Error in population estimation at time t dp/dt Rate of change of population with respect to time t.