| Summary: | Compact development and efficient land use are effective ways to address the development dilemma and boost the vitality of shrinking cities. Moreover, it is critical to investigate the relationship between compactness and land-use efficiency in order to healthily and sustainably develop shrinking cities. This study developed an analytical framework to study the coordinated interaction between urban compactness and land-use efficiency in the context of city shrinkage. Fifteen typical shrinking cities in Northeast China were taken as an example of the phenomenon and the entropy value method and super-slack-based measure model were used to quantitatively measure the compactness and land-use efficiency. Furthermore, the coordinated development level and the coordinated relationship between the two were explored with the help of the coupled coordination degree model as well as the quadrant diagram method. The results of the study show that: (1) The overall level of compactness of 15 shrinking cities in Northeast China was low and the improvement of land-use efficiency was not obvious, while the differences of compactness and land-use efficiency between shrinking cities were significant. (2) The coordination between compactness and land-use efficiency was limited; however, the overall coordination remained intermediate, with significant spatial differences and a tendency to further expand. The problem of lagged development of land-use efficiency in shrinking cities could be characterized as serious. (3) Economic development and population size promote the coordinated development of urban compactness and land-use efficiency, whereas science and technology development, industrial structure, as well as government regulation inhibited the coordinated development of urban compactness and land-use efficiency.
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