Table 3 Correlation coefficient calculations for indicators across years.

From: Coupling coordination development of water resources-economy-ecology system in Shanxi Province based on system dynamics

Indicator

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

2021

1

1

0.82

0.79

0.711

0.671

0.742

0.698

0.584

0.521

0.508

0.494

2

1

0.976

0.836

0.784

0.855

0.73

0.707

0.667

0.651

0.528

0.51

3

1

0.655

0.681

0.607

0.676

0.974

0.727

0.722

0.65

0.769

0.752

4

1

0.967

0.782

0.761

0.859

0.698

0.673

0.6

0.631

0.528

0.51

5

1

0.984

0.802

0.871

0.93

0.724

0.721

0.661

0.697

0.662

0.642

6

1

0.84

0.761

0.853

0.795

0.644

0.637

0.601

0.819

0.552

0.527

7

1

0.976

0.785

0.819

0.919

0.723

0.707

0.628

0.66

0.57

0.553

8

1

0.971

0.762

0.776

0.843

0.669

0.65

0.577

0.6

0.52

0.502

9

1

0.89

0.905

0.941

0.981

0.821

0.97

0.986

0.891

0.956

0.993

10

1

0.961

0.729

0.687

0.682

0.552

0.552

0.497

0.512

0.448

0.429

11

1

0.857

0.688

0.67

0.751

0.604

0.539

0.464

0.478

0.414

0.395

12

1

0.914

0.891

0.981

0.952

0.82

0.773

0.682

0.614

0.551

0.534

13

1

0.858

0.905

0.755

0.635

0.71

0.655

0.645

0.534

0.544

0.49

14

1

0.983

0.822

0.869

0.997

0.787

0.783

0.698

0.755

0.648

0.632

15

1

0.93

0.715

0.704

0.713

0.563

0.533

0.461

0.461

0.405

0.382

16

1

0.954

0.738

0.802

0.748

0.659

0.645

0.565

0.532

0.444

0.428

17

1

0.952

0.759

0.77

0.939

0.717

0.581

0.535

0.604

0.578

0.562

18

1

0.93

0.72

0.714

0.725

0.479

0.46

0.404

0.398

0.347

0.333

19

1

0.995

0.82

0.821

0.963

0.751

0.753

0.668

0.71

0.613

0.594

20

1

0.947

0.787

0.82

0.627

0.637

0.589

0.589

0.907

0.761

0.73

21

1

0.983

0.81

0.866

0.92

0.734

0.722

0.642

0.674

0.603

0.591