How to analyze the coupling coordination index?

One 、 application

    The coupling coordination degree model is used to analyze the coordinated development level of things . Coupling refers to the interaction between two or more systems , Realize the dynamic relationship of coordinated development , It can reflect the degree of interdependence and mutual restriction between systems . Coordination degree refers to the degree of benign coupling in the coupling interaction relationship , It can reflect the quality of coordination .

    For example, the coupling relationship between national economic development and social livelihood , Or the interactive coupling relationship between urbanization and ecological environment , Or the coupling relationship between scientific and technological innovation and industrial structure , The coupling of quality and quantity, sustainable development, etc .

Two 、 operation

SPSSAU operation

（1） Click on SPSSAU Comprehensive evaluation ‘ Coupled co scheduling ’ Button . Here's the picture

（2） Drag and drop the data and click start analysis

   SPSSAU The coupling coordination degree is selected by default ‘ Data interval ’, Its significance lies in compressing data in [0.01,0.99] Between . This process consists in compressing the data in 0~1 Between . Can be ‘ Data interval ’ Check the box to remove the reanalysis .

    Interval ：a+(b - a) * (X - Min)/(Max - Min), among b by 0.99,a by 0.01,Max and Min Represents the maximum and minimum values corresponding to an item respectively .

3、 ... and 、 Case background

    There is currently a calculation of a city 2011~2016 common 6 Data of economic and social benefits in . It is hoped that the coupling coordination degree of urban development can be calculated through the coupling coordination degree model , And the level of coupling and coordination of urban development . The data are as follows ：

The data comes from ： Shuxiaolin [1,2,3] Gaoyingbei [2] Zhangyuanxia [2] Yangchunyu [2,3]. (2015). Research on the coupling relationship and coordinated development between tourism industry and ecological civilization city . China's population, resources and environment (25), 90.

Four 、 The results of the analysis

SPSSAU The resulting analysis results are as follows ：

（1） Coupling degree C value

n=2    

              

n=3   

              

n=4    

              

n>4        

              

（ References ： Congxiaonan . Form of coupling degree model 、 Nature and some misuse in geography [J]. Economic geography , 2019(4).）.

（2） Coordination index T value

          T = β1U1 + β2U2 + β3U3 + .., among β1,β2,β3 Etc. stands for weight , This value depends on the expertise , By default ,SPSSAU It is considered that the weights of all analysis items are consistent . If you want to set it yourself , It can be done by “ Index weight ” Set it up .

(3) Coupled co scheduling D value

           D= Sqrt(C*T), Sqrt It means to open the root .

5、 ... and 、 summary

    This time for a city 2011~2016 common 6 The data of economic benefit and social benefit in are analyzed by coupling coordination degree （ No. in the above table 1 term ~ The first 6 term , In fact, it is 2011~2016 Year means ）. You can see in the table above , As the years change （ from 2011~2016）, The degree of coupling and coordination becomes better , From mild maladjustment to high-quality coordination .

    Specific coupling coordination scheduling D Values are used for coupling coordination levels and division criteria as shown in the following table ：