Comparative analysis of volume and growth trends of grain production and world population

Abstract

The methodology of their use in dimensionless form by means of the values, which represent the ratio of the real value of the examined value of the current year Y (t) to the value of this value in 1961 Y (t 0), was proposed for the World Bank data on the world population statistics and the volume of grain production by the world countries for the period 1961-2021. Based on the analysis of dimensionless time series Y we found mathematical models of the growth of world population and the growth of grain production. It is shown that during this period the world population growth was linear, and the world grain production growth was non-linear quadratic dependence, and the grain production growth rate for the period 1961-2020 exceeded almost 1.6 times the world population growth rate. Using the Pareto principle 13 countries of the world have been identified, which in 2020 provided 80% of the total volume of grain production in the world, and among these countries such four countries as China, United States, India and Europe gave 55% of the total volume of grain production in the world.