Research on urban shrinkage based on entropy weight TOPSIS-grey correlation analysis method

Abstract

In order to reasonably evaluate the shrinkage degree of 30 cities in Liaoning Province, this paper proposes an Entropy Weight TOPSIS-Grey Correlation Analysis method. Based on the Entropy Weight TOPSIS method and Grey Correlation Degree, the evaluation model of shrinkage degree of 30 cities in Liaoning Province is constructed. Based on the data, we determine six indicators to construct an evaluation model of urban shrinkage, including population growth rate, GDP growth rate, per capita GDP, secondary and tertiary industry employment population growth rate, per capita total social consumption and per capita public budget expenditure. According to the results, the cities are classified into severe shrinkage cities, moderate shrinkage cities, mild shrinkage cities, slight shrinkage cities, and critical or growth cities. In addition, the Grey Correlation Analysis method is used to further quantitatively analyze the impact of various indicators on the shrinkage of urban population changes. We find that the total social consumption per capita and GDP per capita are highly correlated, and except for the growth rate of the employed population in the secondary and tertiary industries, the remaining four indicators are positively correlated with the population growth rate as a whole.