Table 7 OMPI and PMPI values for the 31 Iranian provinces (2014-2015)

Provinces

\( {D}_0^{14}\left({x}_0^{14},{y}_0^{14}\right) \)

\( {D}_0^{14}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {D}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {D}_0^{15}\left({x}_0^{14},{y}_0^{14}\right) \)

OEC

OTC

OMPI

\( {\overset{\sim }{\mathbf{D}}}_{\mathbf{0}}^{\mathbf{14}}\left({\mathbf{x}}_{\mathbf{0}}^{\mathbf{14}},{\mathbf{y}}_{\mathbf{0}}^{\mathbf{14}}\right) \)

\( {\overset{\sim }{\mathbf{D}}}_{\mathbf{0}}^{\mathbf{14}}\left({\mathbf{x}}_{\mathbf{0}}^{\mathbf{15}},{\mathbf{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\mathbf{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\mathbf{x}}_{\mathbf{0}}^{\mathbf{15}},{\mathbf{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\mathbf{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\mathbf{x}}_{\mathbf{0}}^{\mathbf{14}},{\mathbf{y}}_{\mathbf{0}}^{\mathbf{14}}\right) \)

 Azerbaijan E

0.2828

0.2870

0.2863

0.2830

1.0125

1.0008

1.0133

 Azerbaijan W

0.3427

0.3049

0.2927

0.3297

0.8541

1.0404

0.8886

 Ardabil

0.2414

0.4168

0.3970

0.2300

1.6444

1.0496

1.7260

 Isfahan

0.3308

0.2710

0.2740

0.3373

0.8284

0.9848

0.8158

 Alborz

1.2176

1.2753

1.7734

0.9535

1.4565

0.9583

1.3957

 Ilam

1.0467

0.9334

1.1475

1.1850

1.0963

0.8476

0.9293

 Bushehr

0.4626

0.5409

0.5171

0.4429

1.1179

1.0453

1.1684

 Tehran

1.0349

0.4502

0.4281

1.0417

0.4136

1.0221

0.4228

 Chaharmahal and Bakhtiari

0.6986

0.6110

1.0309

1.0492

1.4757

0.6282

0.9270

 Khorasan S

1.0307

0.5081

0.5001

1.0616

0.4852

0.9932

0.4819

 Khorasan R

0.2126

0.1705

0.1673

0.2132

0.7872

1.0078

0.7934

 Khorasan N

0.6563

0.4767

0.4571

0.6751

0.6965

1.0069

0.7013

 Khuzestan

1.0125

0.5557

1.0381

1.0681

1.0253

0.7123

0.7303

 Zanjan

0.2332

0.3123

0.3010

0.2247

1.2909

1.0375

1.3394

 Semnan

0.4515

0.3326

0.3173

0.4315

0.7027

1.0474

0.7360

 Sistan and Baluchistan

0.1287

0.1952

0.2136

0.1314

1.6601

0.9459

1.5703

 Fars

1.0433

0.2946

0.2824

1.0691

0.2707

1.0091

0.2731

 Qazvin

1.0269

0.4847

0.4634

1.0210

0.4513

1.0257

0.4629

 Qom

0.5263

0.4422

0.4203

0.5006

0.7986

1.0517

0.8399

 Kurdistan

0.2649

0.2674

0.2615

0.2584

0.9874

1.0238

1.0109

 Kerman

0.2856

0.2003

0.1914

0.2728

0.6701

1.0467

0.7014

 Kermamshah

0.3804

0.4431

0.4265

0.3665

1.1211

1.0384

1.1642

 Kohgiluyeh and Boyer-Ahmad

0.4649

0.6942

1.0360

0.4577

2.2285

0.8249

1.8384

 Golestan

0.4712

0.4334

0.4128

0.4491

0.8761

1.0495

0.9195

 Guilan

0.3988

0.3314

0.3162

0.3809

0.7931

1.0474

0.8307

 Lorestan

0.1545

0.1744

0.1672

0.1482

1.0822

1.0426

1.1283

 Mazandaran

0.5023

0.4069

0.3851

0.4760

0.7668

1.0558

0.8096

 Markazi

0.4632

0.3168

0.3026

0.4436

0.6534

1.0455

0.6831

 Hormozgan

1.2585

0.6100

1.0160

1.2320

0.8073

0.7831

0.6322

 Hamedan

0.2456

0.2388

0.2295

0.2361

0.9345

1.0404

0.9723

 Yazd

0.6968

0.6599

0.6286

0.6669

0.9021

1.0473

0.9448

Mean

0.8839

0.9757

0.8625

Provinces

\( {d}_0^{14}\left({x}_0^{14},{y}_0^{14}\right) \)

\( {d}_0^{14}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {d}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {d}_0^{15}\left({x}_0^{14},{y}_0^{14}\right) \)

PEC

PTC

PMPI

\( {\boldsymbol{d}}_{\mathbf{0}}^{\mathbf{14}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{14}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{14}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{14}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{14}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{14}}\right) \)

 Azerbaijan E

2.3009

2.3417

1.8027

1.7792

0.7835

1.2961

1.0155

 Azerbaijan W

2.8521

2.5745

1.8450

2.0620

0.6469

1.3893

0.8987

 Ardabil

0.9797

3.9403

2.6402

0.9721

2.6951

1.2264

3.3052

 Isfahan

2.7331

2.2582

1.6224

2.0312

0.5936

1.3685

0.8124

 Alborz

9.1483

9.6453

6.9547

6.5986

0.7602

1.3866

1.0542

 Ilam

4.8018

4.3584

3.7500

4.0278

0.7810

1.1771

0.9193

 Bushehr

4.0002

2.7508

3.4279

2.9205

0.8569

1.0484

0.8984

 Tehran

5.4571

4.2718

3.0670

4.2371

0.5620

1.3393

0.7527

 Chaharmahal and Bakhtiari

4.4454

4.3437

3.4720

3.5808

0.7810

1.2462

0.9734

 Khorasan S

6.0988

4.1753

3.0937

4.6462

0.5073

1.3310

0.6752

 Khorasan R

1.7587

0.9927

0.9089

1.2701

0.5168

1.2297

0.6355

 Khorasan N

5.5964

4.0740

2.9191

3.9972

0.5216

1.3979

0.7291

 Khuzestan

5.5058

4.8922

3.4037

3.8011

0.6182

1.4429

0.8920

 Zanjan

1.9768

2.6323

1.8868

1.3178

0.9544

1.4466

1.3807

 Semnan

3.9429

3.0174

2.0413

2.8193

0.5177

1.4378

0.7444

 Sistan and Baluchistan

0.7627

0.9300

0.9427

0.7609

1.2361

0.9944

1.2291

 Fars

3.9377

2.4512

1.8157

3.3864

0.4611

1.2529

0.5777

 Qazvin

8.0790

2.4512

3.1530

5.6208

0.3903

1.0571

0.4125

 Qom

4.7212

3.7199

0.9994

3.3855

0.2117

2.2783

0.4823

 Kurdistan

2.1244

2.1420

0.9609

0.9580

0.4523

2.2233

1.0057

 Kerman

2.3477

1.6414

0.9895

1.7472

0.4215

1.4929

0.6292

 Kermamshah

3.4888

3.9413

2.7598

2.3755

0.7910

1.4482

1.1456

 Kohgiluyeh and Boyer-Ahmad

3.7229

5.5251

4.1917

2.7982

1.1259

1.3243

1.4910

 Golestan

4.2919

3.9702

2.8295

3.0585

0.6592

1.4032

0.9251

 Guilan

3.6343

2.8922

2.0408

2.4890

0.5615

1.4385

0.8078

 Lorestan

0.9500

1.2498

0.9032

0.8539

0.9508

1.2407

1.1796

 Mazandaran

4.6067

3.2851

2.5066

3.0967

0.5441

1.3963

0.7598

 Markazi

4.3466

2.3358

0.9889

3.0433

0.2275

1.8367

0.4179

 Hormozgan

8.3428

5.0643

3.7247

6.0590

0.4465

1.3683

0.6109

 Hamedan

2.0858

2.0317

1.3760

1.4272

0.6597

1.4690

0.9691

 Yazd

6.1221

5.7688

4.1485

4.2521

0.6776

1.4149

0.9588

Mean

0.6273

1.3779

0.8643