Table 5 All regression models for the other 17 cities.

Changchun

ACRHP = 490.3ANLI − 1134

0.7991

Changsha

ACRHP = 516.8ANLI − 630.9

0.9100

Chengdu

ACRHP = 456.3ANLI − 1091

0.8642

Chongqing

ACRHP = 2099ANLI − 887.4

0.9510

Guiyang

ACRHP = 628ANLI − 1036

0.8661

Harbin

ACRHP = 760.3ANLI − 644.1

0.8289

Hohhot

ACRHP = 654.9ANLI − 959.7

0.9297

Kunming

ACRHP = 590.7ANLI + 175.5

0.9639

Lanzhou

ACRHP = 756.5ANLI − 1040

0.8096

Nanchang

ACRHP = 789ANLI − 3007

0.8718

Taiyuan

ACRHP = 661.2ANLI − 4331

0.8814

Urumqi

ACRHP = 618.1ANLI − 1601

0.9032

Wuhan

ACRHP = 364.6ANLI-1962

0.9146

Xi’an

ACRHP = 462ANLI − 1927

0.9598

Xining

ACRHP = 701.6ANLI − 874.6

0.9135

Yinchuan

ACRHP = 322.2ANLI + 184.6

0.8540

Zhengzhou

ACRHP = 248.6ANLI − 2069

0.8858

City

Quadratic regression model

R²

Changchun

ACRHP = 43.53ANLI² − 384.7ANLI + 2942

0.8316

Changsha

ACRHP = −9.176ANLI² + 686ANLI − 1329

0.9113

Chengdu

ACRHP = −22.84ANLI² + 1076ANLI − 4904

0.8906

Chongqing

ACRHP = −66.95ANLI² + 2379ANLI − 1152

0.9512

Guiyang

ACRHP = −38.14ANLI² + 1173ANLI − 2865

0.8710

Harbin

ACRHP = 31.16ANLI² + 380.2ANLI + 422.1

0.8312

Hohhot

ACRHP = 48.33ANLI² + 26.62ANLI + 868.4

0.9446

Kunming

ACRHP = −0.8514ANLI² + 601.9ANLI + 142.8

0.9640

Lanzhou

ACRHP = 2.221ANLI² + 728.4ANLI − 956.9

0.8097

Nanchang

ACRHP = 81.99ANLI² − 713.4ANLI + 3516

0.9021

Taiyuan

ACRHP = 5.554ANLI² + 501.6ANLI − 3219

0.8816

Urumqi

ACRHP = 61.19ANLI² − 483ANLI + 3035

0.9151

Wuhan

ACRHP = −12.92ANLI² + 852.6ANLI − 6196

0.9327

Xi’an

ACRHP = 5.921ANLI² + 298ANLI − 872.7

0.9610

Xining

ACRHP = 98.83ANLI² − 381.6ANLI + 1855

0.9304

Yinchuan

ACRHP = 25.34ANLI² − 183.8ANLI + 2481

0.8724

Zhengzhou

ACRHP = 3.981ANLI² + 49.85 ANLI + 250.7

0.8899

City

Logarithm regression model

R²

Changchun

ACRHP = 4519ln (ANLI) − 6465

0.7454

Changsha

ACRHP = 4448ln (ANLI) − 5504

0.9033

Chengdu

ACRHP = 5873ln (ANLI) − 9938

0.8836

Chongqing

ACRHP = 4139ln (ANLI) + 658.6

0.9429

Guiyang

ACRHP = 4331ln (ANLI) − 4927

0.8682

Harbin

ACRHP = 4359ln (ANLI) − 3708

0.8068

Hohhot

ACRHP = 3816ln (ANLI) − 3643

0.8713

Kunming

ACRHP = 3646ln (ANLI) − 2591

0.9547

Lanzhou

ACRHP = 4608ln (ANLI) − 4592

0.8022

Nanchang

ACRHP = 6782ln (ANLI) − 10630

0.8293

Taiyuan

ACRHP = 9328ln (ANLI) − 19540

0.8768

Urumqi

ACRHP = 5344ln (ANLI) − 7609

0.8850

Wuhan

ACRHP = 6613ln (ANLI) − 14230

0.9299

Xi’an

ACRHP = 6065ln (ANLI) − 11260

0.9416

Xining

ACRHP = 3620ln (ANLI) − 3042

0.8841

Yinchuan

ACRHP = 3001ln (ANLI) −3368

0.8195

Zhengzhou

ACRHP = 5909ln (ANLI) − 14680

0.8674

City

Exponential regression model

R²

Changchun

ACRHP = 923.8e^0.134ANLI

0.8257

Changsha

ACRHP = 1232e^0.1239ANLI

0.8854

Chengdu

ACRHP = 1532e^0.08369ANLI

0.7966

Chongqing

ACRHP = 908.2e^0.6073ANLI

0.9357

Guiyang

ACRHP = 911.2e^0.1792ANLI

0.8406

Harbin

ACRHP = 1183e^0.1906ANLI

0.8233

Hohhot

ACRHP = 806.5e^0.2028ANLI

0.9395

Kunming

ACRHP = 1455e^0.1476ANLI

0.9560

Lanzhou

ACRHP = 969.4e^0.2045ANLI

0.8019

Nanchang

ACRHP = 643.5e^0.1961ANLI

0.9047

Taiyuan

ACRHP = 765.6e^0.1292ANLI

0.8739

Urumqi

ACRHP = 857.5e^0.1625ANLI

0.9137

Wuhan

ACRHP = 1194e^0.07092ANLI

0.8573

Xi’an

ACRHP = 979.4e ^0.1042ANLI

0.9493

Xining

ACRHP = 711.6e^0.2474ANLI

0.9317

Yinchuan

ACRHP = 1229e^0.09771ANLI

0.8688

Zhengzhou

ACRHP = 816.5e^0.06194ANLI

0.8893

City

Power regression model

R²

Changchun

ACRHP = 154.2ANLI^1.379

0.8116

Changsha

ACRHP = 313.4ANLI^1.157

0.9084

Chengdu

ACRHP = 225.6ANLI^1.191

0.8557

Chongqing

ACRHP = 1347ANLI^1.272

0.9495

Guiyang

ACRHP = 264.2ANLI^1.301

0.8620

Harbin

ACRHP = 466.2ANLI^1.183

0.8306

Hohhot

ACRHP = 251ANLI^1.361

0.9392

Kunming

ACRHP = 676.3ANLI^0.953

0.9639

Lanzhou

ACRHP = 338.7ANLI^1.296

0.8096

Nanchang

ACRHP = 69.76ANLI^1.834

0.8922

Taiyuan

ACRHP = 34ANLI^1.876

0.8806

Urumqi

ACRHP = 159.1ANLI^1.454

0.9085

Wuhan

ACRHP = 81.29ANLI^1.389

0.9020

Xi’an

ACRHP = 91.67ANLI^1.47

0.9609

Xining

ACRHP = 295.3ANLI^1.346

0.9200

Yinchuan

ACRHP = 378.1ANLI^0.9556

0.8527

Zhengzhou

ACRHP = 27.08ANLI^1.554

0.8893