Table 4 Comprehensive evaluation of the importance of water engineering facilities in the qing dynasty along the grand canal section.

From: A comprehensive model for assessing water engineering facilities heritage in grand canal’s huitong river during the ming and qing dynasties

Water engineering facilities

Out-degree

In-degree

Betweenness centrality

Out-closeness centrality

In-closeness centrality

Ci(comprehensive score index)

Nanyang gate

4

1

4.352

0.265

0.292

0.53

Anju doumen gate

3

1

4.048

0.095

0.693

0.494

Upper you gate single gate at siliwan

2

1

4.313

0.152

0.419

0.482

Zhaoyang lake gate

4

1

3.228

0.443

0.24

0.481

Xin (New) dian gate

1

2

3.954

0.118

0.547

0.473

Huanting gate

2

1

3.97

0.293

0.28

0.464

Jiao river dam

2

1

3.904

0.112

0.581

0.46

Xintiao river inlet

1

1

4.304

0.245

0.304

0.457

Xiaolian river inlet

1

1

4.255

0.227

0.317

0.454

Jizhou upper (diverting gate)

1

1

4.244

0.144

0.44

0.454

Huang donglin new gate

1

1

4.204

0.212

0.332

0.452

Shili doumen gate

1

1

4.174

0.137

0.464

0.45

Shijiazhuang gate

1

1

4.152

0.198

0.347

0.449

Shaozhuang gate

1

1

4.102

0.13

0.489

0.446

Luqiao shazhou temple ferry culvert

1

1

4.098

0.186

0.363

0.446

Shizhuang gate

1

1

4.042

0.175

0.38

0.443

Xin (new) gate

1

1

4.029

0.124

0.517

0.442

Lower xndian gate single sate at siliwan

1

1

3.985

0.166

0.399

0.439

Yongtong upper gate

1

1

3.945

0.091

0.738

0.437

Yongtong gate (out of use) (new gate)

1

1

3.84

0.088

0.787

0.43

Previously: siliwan reduction gate (out of use)

1

1

3.818

0.107

0.615

0.429

Lijian gate, also known as Songjiakou gate

2

1

3.372

0.303

0.269

0.428

Fujia Single gate

2

1

3.369

0.072

1.126

0.428

Caojing bridge

1

1

3.734

0.084

0.841

0.424

Anju gate

1

1

3.73

0.103

0.652

0.424

Ni River gate

2

1

3.234

0.372

0.259

0.419

Baizui yin’an single gate

1

1

3.626

0.081

0.901

0.417

Fengjiaba

2

1

3.151

0.068

1.326

0.413

Liujia mouth (out of use)

1

1

3.517

0.078

0.968

0.41

Tongji gate (thirty-mile huotouwan gate)

1

1

3.406

0.075

1.043

0.402

  1. *The water engineering facilities that are underlined were also recognized as key nodes during the ming dynasty.