2023
DOI: 10.1016/j.ecolind.2023.109985
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Spatial and temporal characteristics and evolutionary prediction of urban health development efficiency in China: Based on super-efficiency SBM model and spatial Markov chain model

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Cited by 27 publications
(7 citation statements)
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“…In order to predict China's urban industrial comprehensive water use efficiency, this paper introduces the adjacency weight matrix into the spatial Markov chain to calculate the spatial lag value, so as to show the relationship between spatial units. The spatial lag type of a spatial unit is determined by its spatial lag value, which is the spatially weighted average value of the neighbor area attribute value of the spatial unit, as shown in Equation (10) below [ 45 , 46 ]. In the above equation (10) , Y i is the attribute value of space unit; W ij is the element in row i and column j of spatial weight matrix W , that is, the relation matrix between space unit and neighbor region.…”
Section: Methodsmentioning
confidence: 99%
“…In order to predict China's urban industrial comprehensive water use efficiency, this paper introduces the adjacency weight matrix into the spatial Markov chain to calculate the spatial lag value, so as to show the relationship between spatial units. The spatial lag type of a spatial unit is determined by its spatial lag value, which is the spatially weighted average value of the neighbor area attribute value of the spatial unit, as shown in Equation (10) below [ 45 , 46 ]. In the above equation (10) , Y i is the attribute value of space unit; W ij is the element in row i and column j of spatial weight matrix W , that is, the relation matrix between space unit and neighbor region.…”
Section: Methodsmentioning
confidence: 99%
“…The Markov chain is a mathematical analysis tool to analyze the stochastic process [15]. This method treats the evolution of a system or phenomenon at different times as a Markov process, characterizing the dynamic changes in a system or phenomenon by using the transfer probability matrix [18,19]. Compared with the analysis methods of spatial and temporal distribution characteristics of elements, such as Thiel index, Sill coefficient, and kernel density estimation [20], the Markov chain model can reflect the dynamic change in elements and predict future distribution [21].…”
Section: Spatial Markov Chain Modelmentioning
confidence: 99%
“…The Markov model is also known as a Markov chain. It can use the empirical transition probability of the existing discrete state of the system to simulate and predict future development [34]. Markov chains have "memoryless" properties, meaning that the probability distribution of the system state at time t + 1 is only related to the state at time t, and is independent of the state before time t. It can be expressed by the formulas below [35]:…”
Section: Ca-markov Modelmentioning
confidence: 99%