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As the spaces for dialogue between the past and the future, museums are essential to human well-being and social sustainability. Here, we collected data from 328 cities in 31 provinces of mainland China from 1980 to 2019 to investigate the changes in number and spatial inequalities of museums. The results showed that: (1) in mainland China, there were only 137 museums in 1980, and while this increased to 5626 in 2019, China still possessed only four museums per million people; (2) the increasing number of museums lagged behind the growth rate of both the population and economy at both the province and city level; (3) the Gini coefficient of museums per million people was only 0.27 in 2019, indicating relative equality of visiting opportunities among the provinces of China; (4) the Gini coefficients of per capita museums in some provinces were higher than that of the whole nation, with the highest ~0.6 in 2010 and 0.4 in 2017; (5) the economic competitiveness and human well-being of a city were promoted by an increased number of museums. We suggest that the central government of China should increase the number of museums in all provinces, while some provinces should pay more attention to the inequality in the distribution of cultural facilities among cities.

Understanding the spatial distribution characteristics and formation mechanism of urban facilities (city functional components) constitutes the basis of urban layout optimization. Currently, research on the overall distribution of the various types of city functional components is lacking. In this study, by applying the gradient analysis method common in ecology, we considered 13 types of city functional components (80,214 individuals in total) in large, medium and small Chinese cities (9 cities in total) to carry out quantitative analysis of the distribution of components along urban–rural gradients through density distribution curves. The results indicated that: (1) a higher density of city functional components near the city centre revealed an obvious aggregated distribution; (2) the spatial distribution dynamics of city functional components were related to the city size, providing a reference for the rational distribution of components in cities of different sizes; (3) the distribution of city functional components was affected by their ecosystem services. This study offers a new perspective for the application of ecological methods in the examination of the distribution of city functional components.