“…China entered a period of rapid urbanization from the 1990s (Chi et al, 2015); a large number of cities have expanded rapidly, with city sizes reaching the largest scale ever in human history (Wang et al, 2012;Zhao et al, 2012), and will continue to expand. Many scholars have analyzed urban land expansion, morphology evolution (Chen et al, 2016a), and the evolution of land use structure by examining expansion strength (Xu and Min, 2013), compactness (Yin et al, 2010), fractal dimension (Liu et al, 2016), shape index (Wang et al, 2015), gravity-center model (Maimaiti et al, 2017;Yang et al, 2018), landscape index (Quan et al, 2015;Triantakonstantis and Stathakis, 2015), equivalent fan analysis (Zhang et al, 2016), transfer matrix (Kumar and Tripathi, 2014) etc. from a two-dimensional perspective.…”