The future of regional inequalities: an ARIMA forecast

Abstract

The existing stream of empirical literature on regional inequalities has always adopted a retrospective look by analyzing the past evolution. We depart from the main stream by adopting a future perspective: Will regional inequalities shrink over time? How will the shape of income distribution evolve? Will spatial dependency increase? In the current paper, we forecast the long-term trajectory of per capita real personal income for U.S. states using the ARIMA model. We estimate the future of disparity level (for 2050 and 2090), the shape and spatial pattern of income distribution, convergence trend and spatial dependence by the help of inequality indexes (Atkinson, Coefficient of Variation, Theil) Kernel probability density distributions, explorative maps and Moran's I test. The dataset includes 48 coterminous U.S. states over the period 1929-2022. A set of important results appeared to emerge as an outcome of the empirical analyses: First, income disparities are expected to increase over the long-term period that implies a divergence pattern. Second, the forecasted shape of the income distribution is bi-modal and polarized, therefore, pointing to a widening of the inequalities. Third, the geography of the prosperity is projected to change in a way that the geographical position of high and low-income areas will change. Fourth, spatial dependence in per capita income is expected to fade away in the future. From a political stand point, additional resources should be devoted to the states that are expected to become backward (for some states in Northeast and Southwest) in order to maintain territorial cohesion.