# copy the linklink copied!Annex E. Sensitivity of functional areas to parameter specification

The following section provides a sensitivity analysis of functional areas to different parameters specification for the countries where the methodology was applied.

Table A E.1. Sensitivity analysis, Canada

Scenario

${W}_{min}$

(000s)

${W}_{target}$

(000s)

${SC}_{min}$

(%)

${SC}_{target}$

(%)

Without CMA

With CMA

Number of areas

Average population

Number of areas

Average population

1

0

50

0.80

0.95

351

15.7

225

155.8

2

0

40

0.80

0.95

353

15.6

232

151.1

3

0

50

0.75

0.95

354

15.6

238

147.2

4

0

40

0.75

0.95

359

15.3

245

143.0

5

0

25

0.80

0.95

364

15.2

247

141.9

6

0

15

0.80

0.95

378

14.5

268

130.7

7

0

25

0.75

0.95

369

14.9

271

129.2

8

0

15

0.75

0.95

382

14.3

285

122.9

9

0

50

0.75

0.90

421

12.9

309

113.2

10

0

40

0.75

0.90

423

12.9

315

111.5

11

0

5

0.80

0.95

410

13.2

317

110.4

12

0

25

0.75

0.90

428

12.7

323

108.3

13

0

15

0.75

0.90

440

12.3

337

103.8

14

0

50

0.60

0.90

428

12.7

338

103.4

15

0

5

0.75

0.95

431

12.6

342

102.3

16

0

40

0.60

0.90

434

12.4

346

101.1

17

0

25

0.60

0.90

447

12.1

366

95.5

18

0

5

0.75

0.90

483

11.2

376

92.9

19

0

50

0.65

0.85

488

11.0

385

90.7

20

0

15

0.60

0.90

463

11.7

391

89.4

21

0

40

0.65

0.85

489

10.9

391

89.3

22

0

25

0.65

0.85

495

10.8

401

87.1

23

0

15

0.65

0.85

508

10.5

413

84.5

24

0

5

0.65

0.85

534

9.8

450

77.5

25

0

5

0.60

0.90

512

10.4

451

77.4

Note: The table above shows the results using different parameters. The columns ${W}_{min}$ and ${W}_{target}$ specify the minimum and target number of employees in thousands respectively. The columns ${SC}_{min}$ and ${SC}_{target}$ specify the minimum and target levels of self-containment in percentages respectively. Number of areas denotes the total number of clusters for a given scenario. Avg. units per cluster denotes the mean number of geographic units contained in each cluster. Average size denotes the average number of employees per cluster. FUA included denotes if the municipalities that form part of a functional urban area were included in the calculation. The table summarises the results before post-processing.

Source: Calculations provided by Statistics Canada.

Table A E.2. Sensitivity analysis, United States

Scenario

${W}_{min}$

(000s)

${W}_{target}$

(000s)

${SC}_{min}$

(%)

${SC}_{target}$

(%)

Number of areas

Avg. units per cluster

Average size:

employees

FUA included

1

50

100

65

85

327

7

265 320

No

2

50

100

65

85

512

6

635 348

Yes

3

50

100

70

95

298

8

291 139

No

4

50

100

70

95

451

7

721 282

Yes

5

50

100

75

90

301

8

288 237

No

6

50

100

75

90

414

8

785 744

Yes

7

50

150

65

85

322

8

269 439

No

8

50

150

65

85

473

7

687 734

Yes

9

50

150

70

95

278

9

312 084

No

10

50

150

70

95

405

8

803 205

Yes

11

50

150

75

90

289

8

300 206

No

12

50

150

75

90

384

8

847 131

Yes

13

50

200

65

85

314

8

276 304

No

14

50

200

65

85

452

7

719 686

Yes

15

50

200

70

95

265

9

327 394

No

16

50

200

70

95

374

9

869 781

Yes

17

50

200

75

90

281

9

308 753

No

18

50

200

75

90

370

9

879 184

Yes

19

100

200

65

85

180

13

481 997

No

20

100

200

65

85

358

9

908 654

Yes

21

100

200

70

95

162

15

535 552

No

22

100

200

70

95

321

10

1 013 390

Yes

23

100

200

75

90

165

15

525 815

No

24

100

200

75

90

299

11

1 087 954

Yes

25

100

300

65

85

176

14

492 952

No

26

100

300

65

85

339

9

959 582

Yes

27

100

300

70

95

152

16

570 786

No

28

100

300

70

95

282

11

1 153 540

Yes

29

100

300

75

90

157

15

552 608

No

30

100

300

75

90

273

12

1 191 568

Yes

Note: The table above shows the results using different parameters. The columns ${W}_{min}$ and ${W}_{target}$ specify the minimum and target number of employees in thousands respectively. The columns ${SC}_{min}$ and ${SC}_{target}$ specify the minimum and target levels of self-containment in percentages respectively. Number of areas denotes the total number of clusters for a given scenario. Avg. units per cluster denotes the mean number of geographic units contained in each cluster. Average size denotes the average number of employees per cluster. FUA included denotes if the municipalities that form part of a functional urban area were included in the calculation. The table summarises the results before post-processing.

Table A E.3. Table A E.3. Sensitivity of results excluding FUAs, Mexico

Scenario

${W}_{min}$

(000s)

${W}_{target}$

(000s)

${SC}_{min}$

(%)

${SC}_{target}$

(%)

Number of areas

Avg. units per cluster

Average size:

employees

FUA included

1

50

100

65

85

141

14

320 702

No

2

50

100

65

85

207

12

612 004

Yes

3

50

100

70

95

135

15

334 955

No

4

50

100

70

95

193

13

656 398

Yes

5

50

100

75

90

136

15

332 492

No

6

50

100

75

90

186

13

681 102

Yes

7

50

150

65

85

141

14

320 702

No

8

50

150

65

85

200

12

633 424

Yes

9

50

150

70

95

133

15

339 992

No

10

50

150

70

95

176

14

719 801

Yes

11

50

150

75

90

136

15

332 492

No

12

50

150

75

90

176

14

719 801

Yes

13

50

200

65

85

141

14

320 702

No

14

50

200

65

85

196

12

646 352

Yes

15

50

200

70

95

132

15

342 568

No

16

50

200

70

95

171

14

740 847

Yes

17

50

200

75

90

135

15

334 955

No

18

50

200

75

90

176

14

719 801

Yes

19

100

200

65

85

69

29

655 347

No

20

100

200

65

85

125

20

1 013 479

Yes

21

100

200

70

95

70

28

645 984

No

22

100

200

70

95

120

20

1 055 707

Yes

23

100

200

75

90

68

29

664 984

No

24

100

200

75

90

116

21

1 092 111

Yes

25

100

300

65

85

69

29

655 347

No

26

100

300

65

85

120

20

1 055 707

Yes

Note: The table above shows the results using different parameters. The columns ${W}_{min}$ and ${W}_{target}$ specify the minimum and target number of employees in thousands respectively. The columns ${SC}_{min}$ and ${SC}_{target}$ specify the minimum and target levels of self-containment in percentages respectively. Number of areas denotes the total number of clusters for a given scenario. Avg. units per cluster denotes the mean number of geographic units contained in each cluster. Average size denotes the average number of employees per cluster. FUA included denotes if the municipalities that form part of a functional urban area were included in the calculation. The table summarises the results before post-processing.

Table A E.4. Sensitivity analysis, Estonia

Scenario

${W}_{min}$

(000s)

${W}_{target}$

(000s)

${SC}_{min}$

(%)

${SC}_{target}$

(%)

Number of areas

Avg. units per cluster

Avg.

size

FUA included

1

1

2

70

95

27

31

51 765

Yes

2

1

2

75

90

19

44

73 560

Yes

3

1

3

75

90

19

44

73 560

Yes

4

1

4

75

90

19

44

73 560

Yes

5

10

20

65

85

15

45

38 676

No

6

10

20

65

85

20

42

69 882

Yes

7

10

20

70

95

14

48

41 439

No

8

10

20

70

95

16

53

87 353

Yes

9

10

20

75

90

13

52

44 627

No

10

10

20

75

90

13

65

107 511

Yes

11

10

30

65

85

13

52

44 627

No

12

10

30

65

85

15

56

93 176

Yes

13

10

30

70

95

12

56

48 345

No

14

10

30

70

95

11

77

127 059

Yes

15

10

30

75

90

11

61

52 740

No

16

10

30

75

90

10

85

139 765

Yes

17

10

40

65

85

11

61

52 740

No

18

10

40

65

85

13

65

107 511

Yes

19

10

40

70

95

9

75

64 461

No

20

10

40

70

95

9

94

155 294

Yes

21

10

40

75

90

10

67

58 015

No

22

10

40

75

90

9

94

155 294

Yes

23

50

100

65

85

4

169

145 036

No

24

50

100

65

85

6

141

232 941

Yes

25

50

100

70

95

4

169

145 036

No

26

50

100

70

95

5

169

279 529

Yes

27

50

100

75

90

2

337

290 073

No

28

50

100

75

90

5

169

279 529

Yes

29

50

150

65

85

5

135

116 029

No

30

50

150

65

85

6

141

232 941

Yes

31

50

150

70

95

2

337

290 073

No

32

50

150

70

95

3

282

465 882

Yes

33

50

150

75

90

2

337

290 073

No

34

50

150

75

90

5

169

279 529

Yes

35

50

200

65

85

3

225

193 382

No

36

50

200

65

85

5

169

279 529

Yes

37

50

200

70

95

2

337

290 073

No

38

50

200

70

95

3

282

465 882

Yes

39

50

200

75

90

2

337

290 073

No

40

50

200

75

90

4

211

349 411

Yes

Note: The table above shows the results using different parameters. The columns ${W}_{min}$ and ${W}_{target}$ specify the minimum and target number of employees in thousands respectively. The columns ${SC}_{min}$ and ${SC}_{target}$ specify the minimum and target levels of self-containment in percentages respectively. Number of areas denotes the total number of clusters for a given scenario. Avg. units per cluster denotes the mean number of geographic units contained in each cluster. Average size denotes the average number of people per cluster. FUA included denotes if the municipalities that form part of a functional urban area were included in the calculation. The table summarises the results before post-processing.

Table A E.5. Sensitivity analysis, Korea

Scenario

${W}_{min}$

(000s)

${W}_{target}$

(000s)

${SC}_{min}$

(%)

${SC}_{target}$

(%)

Number of areas

Avg. units per cluster

Average size:

employees

FUA included

1

50

100

65

85

45

2

158 846

No

2

50

100

65

85

69

3

624 565

Yes

3

50

100

70

95

45

2

158 846

No

4

50

100

70

95

57

4

756 052

Yes

5

50

100

75

90

44

3

162 456

No

6

50

100

75

90

52

4

828 749

Yes

7

50

150

65

85

45

2

158 846

No

8

50

150

65

85

62

4

695 080

Yes

9

50

150

70

95

41

3

174 344

No

10

50

150

70

95

48

5

897 812

Yes

11

50

150

75

90

43

3

166 235

No

12

50

150

75

90

46

5

936 847

Yes

13

50

200

65

85

44

3

162 456

No

14

50

200

65

85

62

4

695 080

Yes

15

50

200

70

95

41

3

174 344

No

16

50

200

70

95

46

5

936 847

Yes

17

50

200

75

90

43

3

166 235

No

18

50

200

75

90

45

5

957 666

Yes

19

100

200

65

85

27

4

264 744

No

20

100

200

65

85

46

5

936 847

Yes

21

100

200

70

95

26

4

274 926

No

22

100

200

70

95

39

6

1 104 999

Yes

23

100

200

75

90

26

4

274 926

No

24

100

200

75

90

38

6

1 134 078

Yes

25

100

300

65

85

27

4

264 744

No

26

100

300

65

85

44

5

979 431

Yes

27

100

300

70

95

26

4

274 926

No

28

100

300

70

95

35

6

1 231 285

Yes

29

100

300

75

90

26

4

274 926

No

30

100

300

75

90

36

6

1 197 083

Yes

31

100

400

65

85

27

4

264 744

No

32

100

400

65

85

44

5

979 431

Yes

33

100

400

70

95

26

4

274 926

No

34

100

400

70

95

33

7

1 305 908

Yes

35

100

400

75

90

26

4

274 926

No

36

100

400

75

90

34

7

1 267 499

Yes

37

200

400

65

85

12

9

595 674

No

38

200

400

65

85

34

7

1 267 499

Yes

39

200

400

70

95

12

9

595 674

No

40

200

400

70

95

29

8

1 486 034

Yes

41

200

400

75

90

12

9

595 674

No

42

200

400

75

90

29

8

1 486 034

Yes

Note: The table above shows the results using different parameters. The columns ${W}_{min}$ and ${W}_{target}$ specify the minimum and target number of employees in thousands respectively. The columns ${SC}_{min}$ and ${SC}_{target}$ specify the minimum and target levels of self-containment in percentages respectively. Number of areas denotes the total number of clusters for a given scenario. Avg. units per cluster denotes the mean number of geographic units contained in each cluster. Average employees denotes the average number of employees per cluster. FUA included denotes if the municipalities that form part of a functional urban area were included in the calculation. The table summarises the results before post-processing.