Skip to main content
Log in

Number of references: a large-scale study of interval ratios

  • Published:
Scientometrics Aims and scope Submit manuscript

Abstract

The paper presents a large-scale study (covering 26,998,764 items) of the development in the number of references over time (1996–2019) in three document types (articles; reviews; notes) from seven fields (Arts and Humanities; Social Sciences; Computer Science; Mathematics; Engineering; Medicine; Physics and Astronomy). Using interval ratios instead of average numbers, the paper makes it possible to follow the development, and to locate the main causes of growth in the number of references over time. The results show significant differences between fields and document types. The number of references in journal articles and reviews are growing in all fields (except for the reviews in Arts and Humanities that remain stable over time), but at different pace; The number of references in notes are growing in some fields (again at different pace) and are stable in others. The observed growth is primarily caused by a drop in short reference lists and a corresponding increase in a bit longer and medium size reference lists. Long and very long reference lists remain much more stable in shares over time, and does therefore not contribute much to the observed growth. The results underline the importance of normalizing citation data, and for taking citation inflation into account when conducting citation analyses expanding different fields, document types, and longer time-periods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Availability of data and material

See appendices.

Notes

  1. Searched as DOCUMENT TYPE and further limited to SOURCE TYPE: Journal.

  2. As a journal may be indexed with more than one subject area code, subject areas slightly overlap.

References

  • Abt, H. A., & Garfield, E. (2002). Is the relationship between numbers of references and paper lengths the same for all sciences? Journal of the American Society for Information Science and Technology, 53(13), 1106–1112. https://doi.org/10.1002/asi.10151.

    Article  Google Scholar 

  • Anger, J. (1999). Should there be a recommended limit to the number of references in a scientific article? Sao Paulo Medical Journal, 117(1), 42–43. https://doi.org/10.1590/S1516-31801999000100010.

    Article  Google Scholar 

  • Bornmann, L., & Marx, W. (2018). Critical rationalism and the search for standard (field-normalized) indicators in bibliometrics. Journal of Informetrics, 12(3), 598–604.

    Article  Google Scholar 

  • Bornmann, L., & Mutz, R. (2015). Growth rates of modern science: A bibliometric analysis based on the number of publications and cited references. Journal of the Association for Information Science and Technology, 66(11), 2215–2222.

    Article  Google Scholar 

  • Bornmann, L., Tekles, A., & Leydesdorff, L. (2019). The convergent validity of several (field-normalized) bibliometric indicators: How well does I3 perform for impact measurement? In Paper presented at the 17th International Conference on Scientometrics and Informetrics, ISSI 2019.

  • Costas, R., van Leeuwen, T. N., & Bordons, M. (2012). Referencing patterns of individual researchers: Do top scientists rely on more extensive information sources? Journal of the American Society for Information Science and Technology, 63(12), 2433–2450. https://doi.org/10.1002/asi.22662.

    Article  Google Scholar 

  • Fang, H. (2015). A theoretical model of scientific impact based on citations. Malaysian Journal of Library & Information Science, 20(3), 1–13.

    Google Scholar 

  • Frandsen, T. F., Jacobsen, R. H., Nicolaisen, J., & Ousager, J. (2019). Pressure to publish: A bibliometric study of PhD-students (1993–2009). Information Research, 24(4), http://informationr.net/ir/24-4/colis/colis1925.html.

  • Garfield, E. (1979). Trends in biochemical literature. Trends in Biochemical Sciences, 4(12), N290.

    Article  Google Scholar 

  • Garfield, E. (1980). Number of biochemical articles is growing, but why also the number of references per article. Current Contents, 11, 5–16.

    Google Scholar 

  • Hyland, K. (2004). Disciplinary discourses: social interactions in academic writing. Harlow: Pearson Education Ltd.

    Google Scholar 

  • Jaunich, M. (2018). Editorial: The average number of references per article published in Polymer Testing over the years. Polymer Testing, 68, A1–A2. https://doi.org/10.1016/j.polymertesting.2018.05.034.

    Article  Google Scholar 

  • Krampen, G. (2010). Acceleration of citing behavior after the millennium? Exemplary bibliometric reference analyses for psychology journals. Scientometrics, 83(2), 507–513. https://doi.org/10.1007/s11192-009-0093-z.

    Article  Google Scholar 

  • Krauskopf, E. (2019). Missing documents in Scopus: the case of the journal Enfermeria Nefrologica. Scientometrics, 119(1), 543–547. https://doi.org/10.1007/s11192-019-03040-z.

    Article  Google Scholar 

  • Lipetz, B. A. (1999). Aspects of JASIS authorship through five decades. Journal of the American Society for Information Science, 50(11), 994–1003. https://doi.org/10.1002/(SICI)1097-4571(1999)50:11%3C994::AID-ASI5%3E3.0.CO;2-U.

    Article  Google Scholar 

  • Meadows, A. J. (1974). Communication in science. London: Butterworth.

    Google Scholar 

  • Mingers, J., & Meyer, M. (2017). Normalizing Google Scholar data for use in research evaluation. Scientometrics, 112(2), 1111–1121.

    Article  Google Scholar 

  • Mingers, J., & Kaymaz, E. (2019). Normalizing book citations in Google Scholar: A hybrid cited-side citing-side method. Journal of Data and Information Science, 4(2), 19–35.

    Article  Google Scholar 

  • Pan, R. K., Petersen, A. M., Pammolli, F., & Fortunato, S. (2018). The memory of science: Inflation, myopia, and the knowledge network. Journal of Informetrics, 12(3), 656–678. https://doi.org/10.1016/j.joi.2018.06.005.

    Article  Google Scholar 

  • Petersen, A. M., Pan, R. K., Pammolli, F., & Fortunato, S. (2019). Methods to account for citation inflation in research evaluation. Research Policy, 48, 1855–1865.

    Article  Google Scholar 

  • Sanchez-Gil, S., Gorraiz, J., & Melero-Fuentes, D. (2018). Reference density trends in the major disciplines. Journal of Informetrics, 12(1), 42–58. https://doi.org/10.1016/j.joi.2017.11.003.

    Article  Google Scholar 

  • Solla Price, D. J. (1965). Networks of scientific papers. Science, 149(3683), 510–515.

    Article  Google Scholar 

  • Tsay, M. Y. (2008). Journal bibliometric analysis: A case study on the JASIST. Malaysian Journal of Library & Information Science, 13(2), 121–139.

    Google Scholar 

  • Ucar, I., Lopez-Fernandino, F., Rodriguez-Ulibarri, P., Sesma-Sanchez, L., Urrea-Mico, V., & Sevilla, J. (2014). Growth in the number of references in engineering journal papers during the 1972–2013 period. Scientometrics, 98(3), 1855–1864. https://doi.org/10.1007/s11192-013-1113-6.

    Article  Google Scholar 

  • Van Eck, N. J., & Waltman, L. (2017). Accuracy of citation data in Web of Science and Scopus. In Paper presented at the 16th International Conference on Scientometrics and Informetrics, ISSI 2017..

  • Vosner, H. B., Kokol, P., Bobek, S., Zeleznik, D., & Zavrsnik, J. (2016). A bibliometric retrospective of the Journal Computers in Human Behavior (1991–2015). Computers in Human Behavior, 65, 46–58. https://doi.org/10.1016/j.chb.2016.08.026.

    Article  Google Scholar 

  • Waltman, L. (2016). A review of the literature on citation impact indicators. Journal of Informetrics, 10(2), 365–391.

    Article  Google Scholar 

  • Waltman, L., & van Eck, N. J. (2012). Source normalized indicators of citation impact: an overview of different approaches and an empirical comparison. Scientometrics, 96(3), 699–716. https://doi.org/10.1007/s11192-012-0913-4.

    Article  Google Scholar 

  • Yang, H., Pan, B. C., & Chen, J. (2006). Citation analysis of five journals in andrology. Archives of Andrology, 52(6), 433–440. https://doi.org/10.1080/01485010600840764.

    Article  Google Scholar 

  • Zhou, P., & Leydesdorff, L. (2011). Fractional counting of citations in research evaluation: A cross- and interdisciplinary assessment of the Tsinghua University in Beijing. Journal of Informetrics, 5(3), 360–368.

    Article  Google Scholar 

  • Zitt, M. (2010). Citing-side normalization of journal impact: A robust variant of the Audience Factor. Journal of Informetrics, 4(3), 392–406.

    Article  Google Scholar 

  • Zitt, M. (2013). Variability of citation behavior between scientific fields and the normalization problem: The “citing-side” normalization in context. Collnet Journal of Scientometrics and Information Management, 7(1), 55–67.

    Article  MathSciNet  Google Scholar 

  • Zitt, M., & Small, H. (2008). Modifying the journal impact factor by fractional citation weighting: The audience factor. Journal of the American Society for Information Science and technology, 59(11), 1856–1860.

    Article  Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jeppe Nicolaisen.

Ethics declarations

Conflict of interest 

 None.

Code availability

Not applicable.

Appendices

Appendix 1: Arts and humanities; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

4612

10,755

12,877

13,051

11,563

9268

6566

4596

2996

1917

4043

162

82,406

2018

5455

10,672

11,967

11,710

10,269

7926

5492

3663

2530

1695

3421

155

74,955

2017

5169

9647

11,100

11,106

9548

7389

5188

3487

2336

1487

3258

165

69,880

2016

4889

9210

10,536

10,240

8777

6813

4754

3301

2221

1604

3455

218

66,018

2015

5438

9966

11,094

10,171

8497

6523

4562

3188

2144

1464

3563

273

66,883

2014

6392

10,971

11,810

10,971

9048

6805

4574

3208

2243

1564

4077

362

72,025

2013

7417

11,159

11,729

10,269

8458

6305

4345

2936

2068

1503

3974

410

70,573

2012

6237

9491

10,095

9012

7323

5277

3747

2573

1822

1166

3304

311

60,358

2011

5522

8301

8761

7805

6500

4736

3375

2271

1555

1106

2990

298

53,220

2010

3896

6250

6702

6157

5218

3899

2669

1887

1283

868

2494

290

41,613

2009

4246

6172

6603

5927

4824

3476

2412

1660

1124

865

2308

219

39,836

2008

4927

6564

6808

6201

4830

3308

2411

1608

1083

801

2281

284

41,106

2007

4651

6305

6641

5675

4451

3240

2279

1492

996

719

2082

230

38,761

2006

4550

5934

5805

5181

3766

2852

1898

1299

887

660

1808

222

34,862

2005

4397

5630

5478

4648

3563

2399

1606

1061

748

540

1444

194

31,708

2004

4108

5326

5255

4258

3223

2246

1459

949

679

470

1409

171

29,553

2003

3887

4987

4958

4094

3053

2113

1449

992

679

459

1404

141

28,216

2002

4265

5288

5110

4158

3076

2029

1326

910

675

483

1272

158

28,750

2001

2842

3677

3625

3147

2382

1641

1100

718

496

378

1089

129

21,224

2000

2704

3771

3516

2821

2102

1546

985

725

505

397

1195

135

20,402

1999

2659

3716

3462

2743

2036

1438

986

662

504

343

1083

127

19,759

1998

2747

3855

3365

2725

2044

1415

897

639

443

294

1040

170

19,634

1997

2785

3689

3441

2600

1843

1263

799

591

436

299

939

133

18,818

1996

2932

3726

3355

2533

1756

1248

779

548

384

286

941

105

18,593

Appendix 2: Arts and humanities; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

1660

2465

2437

2082

1608

1217

912

659

462

381

936

95

14,914

2018

2795

3713

3649

2885

2340

1610

1190

812

574

445

1141

101

21,255

2017

2782

4041

3926

3153

2491

1853

1229

922

695

521

1490

159

23,262

2016

3007

3802

3695

3093

2309

1741

1253

966

688

503

1655

195

22,907

2015

2268

3184

3167

2735

2129

1629

1245

933

646

506

1824

184

20,450

2014

1917

2364

2305

1909

1535

1182

888

708

510

397

1440

171

15,326

2013

1606

1840

1664

1408

1053

828

582

472

347

311

981

154

11,246

2012

1848

2119

2119

1814

1420

1079

806

609

467

328

1053

139

13,801

2011

2078

3012

2956

2374

1819

1287

958

616

472

339

1090

110

17,111

2010

2274

3406

3509

2787

2095

1513

1068

782

585

443

1318

122

19,902

2009

2012

2860

2870

2318

1773

1259

933

705

530

402

1292

134

17,088

2008

1350

1610

1593

1354

1012

779

599

414

336

273

866

86

10,272

2007

1434

1630

1470

1178

937

690

546

409

313

212

737

111

9667

2006

1429

1809

1711

1415

1087

801

596

487

367

263

893

125

10,983

2005

1470

1813

1700

1491

1204

868

639

486

354

278

1061

166

11,530

2004

1281

1635

1468

1209

985

750

566

463

336

233

874

124

9924

2003

1270

1534

1453

1260

930

778

533

396

274

222

760

84

9494

2002

1228

1425

1225

1094

807

545

437

329

229

174

573

59

8125

2001

526

581

582

464

334

238

184

144

94

85

310

35

3577

2000

643

592

514

422

327

246

175

141

103

82

311

47

3603

1999

573

651

490

395

278

237

150

122

98

68

294

46

3402

1998

492

546

477

350

283

183

145

120

80

89

311

32

3108

1997

575

582

452

358

285

194

164

107

96

69

272

35

3189

1996

543

535

445

312

235

211

159

117

73

68

225

31

2954

Appendix 3: Arts and humanities; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

767

452

216

111

64

37

17

20

16

6

8

0

1714

2018

930

495

210

108

68

53

25

15

11

7

15

0

1937

2017

948

505

173

98

59

31

23

11

14

8

13

3

1886

2016

837

415

194

96

42

33

22

21

11

8

42

6

1727

2015

768

349

135

64

32

31

16

12

11

5

26

0

1449

2014

814

348

181

79

37

25

18

18

8

5

19

3

1555

2013

688

304

114

56

41

16

15

5

11

5

10

1

1266

2012

680

279

144

68

36

35

18

13

11

12

77

18

1391

2011

734

320

159

70

51

45

30

21

10

13

45

9

1507

2010

642

333

144

61

47

19

18

13

13

5

26

2

1323

2009

515

238

126

57

37

34

22

12

12

6

30

6

1095

2008

587

307

133

74

35

22

12

10

5

7

16

7

1215

2007

474

274

113

69

43

18

6

4

7

4

16

8

1036

2006

487

243

83

51

34

18

9

3

4

4

2

1

939

2005

403

190

90

48

27

11

8

3

5

1

8

2

796

2004

404

219

85

66

33

14

9

6

6

3

13

1

859

2003

342

176

81

47

29

16

14

6

3

3

11

3

731

2002

343

196

96

50

25

27

10

10

5

4

13

1

780

2001

194

105

70

26

15

15

7

6

6

5

7

2

458

2000

241

143

63

26

20

14

13

4

0

1

4

1

530

1999

193

99

55

33

15

11

2

5

0

2

4

0

419

1998

196

108

55

40

29

15

5

2

3

4

4

0

461

1997

171

112

56

32

16

13

8

3

7

1

5

0

424

1996

169

96

55

26

16

16

4

5

2

0

5

0

394

Appendix 4: Computer science; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

6351

29,386

41,731

39,688

28,658

16,598

8997

4848

2766

1658

3286

240

184,207

2018

4831

24,640

33,894

31,019

21,523

12,552

6623

3474

2010

1209

2203

134

144,112

2017

5860

24,857

30,917

26,247

17,555

10,108

5390

2821

1577

928

1809

112

128,181

2016

6229

24,860

28,659

23,221

14,842

8476

4496

2388

1347

810

1567

91

116,986

2015

6311

24,197

26,177

20,607

13,150

7251

3710

2068

1182

688

1296

80

106,717

2014

6237

24,800

25,929

19,948

12,040

6379

3461

1895

996

638

1151

56

103,530

2013

7635

27,256

24,817

17,948

10,549

5505

2915

1494

886

504

910

63

100,482

2012

8060

29,811

23,820

15,748

8696

4614

2309

1149

690

450

780

46

96,173

2011

7797

26,091

21,308

13,923

7564

3886

2062

1063

565

404

638

47

85,348

2010

7724

23,499

19,113

12,338

6613

3395

1805

962

547

294

624

47

76,961

2009

9098

23,959

18,609

11,478

5993

2946

1544

782

463

298

523

34

75,727

2008

9454

21,628

16,329

9885

5171

2403

1259

655

365

219

421

36

67,825

2007

9747

20,321

14,818

8587

4250

2071

1044

532

292

182

337

17

62,198

2006

12,041

18,702

12,776

7185

3509

1656

799

426

227

145

247

16

57,729

2005

10,641

15,412

10,336

5435

2521

1244

619

330

205

110

170

8

47,031

2004

7546

12,832

8619

4478

1989

927

432

244

148

67

127

6

37,415

2003

6110

11,698

7804

3922

1756

814

396

213

132

75

135

10

33,065

2002

9327

13,969

8020

3850

1646

800

383

203

126

76

151

9

38,560

2001

11,776

15,500

8387

3731

1647

768

408

203

128

86

173

17

42,824

2000

8624

12,260

7203

3421

1498

714

364

200

138

64

161

10

34,657

1999

7717

11,360

6587

2960

1386

676

328

193

117

68

147

16

31,555

1998

7977

11,332

6373

2915

1225

625

297

179

87

66

133

14

31,223

1997

7479

10,753

6108

2656

1197

584

278

181

76

49

127

20

29,508

1996

7872

10,921

5803

2423

1035

492

254

147

73

58

92

10

29,180

Appendix 5: Computer science; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

146

266

288

293

339

348

319

379

373

320

2098

388

5557

2018

189

294

285

248

297

300

257

301

285

240

1503

294

4493

2017

216

328

319

280

278

297

259

261

243

225

1060

187

3953

2016

201

256

284

290

221

214

227

194

178

166

748

132

3111

2015

189

210

207

202

171

161

179

143

119

106

553

104

2344

2014

201

228

186

182

163

166

138

122

107

107

439

48

2087

2013

194

213

212

192

172

135

121

112

95

87

508

66

2107

2012

280

373

371

320

275

182

163

123

112

103

340

52

2694

2011

215

304

274

253

213

151

146

102

76

67

246

30

2077

2010

142

163

173

143

111

89

57

51

47

62

156

16

1210

2009

170

185

144

114

80

73

65

55

30

34

147

24

1121

2008

118

156

121

94

90

68

52

46

23

28

103

9

908

2007

304

304

155

102

91

74

55

33

33

28

79

14

1272

2006

527

559

317

237

138

107

85

48

42

23

104

16

2203

2005

724

803

466

336

211

134

72

60

56

36

111

12

3021

2004

539

625

411

253

180

105

79

47

43

19

90

9

2400

2003

605

531

313

222

158

107

71

35

40

32

74

5

2193

2002

231

249

165

119

56

55

37

29

23

11

63

5

1043

2001

142

145

95

71

31

20

31

8

14

12

25

4

598

2000

128

150

84

55

38

30

18

19

11

5

19

2

559

1999

105

99

65

55

30

16

16

8

9

5

12

1

421

1998

169

171

94

70

38

19

22

10

9

5

28

2

637

1997

167

162

99

70

44

19

12

15

10

16

25

4

643

1996

147

147

107

48

31

21

11

8

12

5

15

2

554

Appendix 6: Computer science; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

144

153

64

25

9

8

3

2

1

3

3

0

415

2018

164

118

50

17

17

17

8

5

3

7

7

0

413

2017

121

121

49

30

13

13

2

5

5

1

14

0

374

2016

158

117

44

23

15

18

6

2

3

3

9

2

400

2015

242

119

43

19

6

2

2

1

2

0

3

0

439

2014

199

81

26

11

6

7

1

3

2

2

9

0

347

2013

111

66

19

9

3

0

2

0

1

0

1

0

212

2012

125

59

18

5

7

2

1

3

0

2

2

2

226

2011

122

58

15

9

3

3

0

0

2

0

2

0

214

2010

106

52

9

2

4

1

0

0

0

0

0

0

174

2009

118

46

9

1

1

0

0

1

0

0

0

0

176

2008

85

26

6

5

2

3

0

0

0

1

1

0

129

2007

101

11

9

2

1

0

0

1

0

0

0

0

125

2006

82

25

5

6

1

0

0

1

0

0

0

0

120

2005

58

15

11

2

1

2

0

0

0

0

1

0

90

2004

50

17

3

3

0

0

0

0

0

0

0

0

73

2003

73

24

9

3

2

1

2

0

0

0

0

0

114

2002

66

28

15

6

3

1

0

1

0

0

0

0

120

2001

51

33

15

2

1

2

2

1

0

1

1

1

110

2000

37

14

4

1

0

0

0

0

1

0

1

0

58

1999

30

12

5

6

2

1

0

0

1

0

0

0

57

1998

22

9

1

0

0

0

0

0

0

0

0

0

32

1997

22

9

3

0

1

0

0

0

0

0

1

0

36

1996

23

4

4

1

0

1

0

0

0

1

0

0

34

Appendix 7: Engineering; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

15,661

73,544

99,312

88,868

60,461

34,141

17,173

8232

4074

2120

3675

294

407,555

2018

15,658

74,627

90,927

75,408

49,487

27,006

13,222

6194

2916

1590

2836

233

360,104

2017

30,052

85,899

87,986

67,627

41,848

22,001

10,479

5010

2321

1299

2394

201

357,117

2016

21,901

78,783

82,490

60,434

34,672

17,671

8150

3815

1833

1032

1962

190

312,933

2015

25,407

83,590

77,081

52,727

29,774

14,732

6483

3060

1623

862

1790

182

297,311

2014

24,301

78,653

71,093

48,295

25,948

12,258

5384

2482

1241

702

1468

128

271,953

2013

25,810

81,077

66,882

42,222

21,874

10,022

4253

1997

955

604

1180

113

256,989

2012

27,736

77,419

58,126

34,720

17,197

7741

3358

1516

747

433

889

52

229,934

2011

30,019

77,994

53,598

30,572

14,399

6186

2753

1239

594

345

876

96

218,671

2010

33,278

77,241

48,861

26,560

12,518

5244

2369

1080

615

317

776

97

208,956

2009

37,672

76,971

46,589

24,350

10,629

4549

1905

897

481

271

657

59

205,030

2008

38,641

70,556

40,568

19,796

8662

3649

1524

784

422

237

577

55

185,471

2007

39,952

65,779

36,427

16,620

6848

2798

1298

629

344

218

527

67

171,507

2006

43,391

60,522

30,606

13,925

5702

2352

1048

501

267

154

466

54

158,988

2005

39,980

50,644

25,230

11,092

4272

1791

808

366

220

150

283

39

134,875

2004

32,322

43,697

22,759

9727

3659

1506

642

354

181

130

286

28

115,291

2003

26,978

37,487

19,816

8266

3218

1329

585

279

171

139

305

35

98,608

2002

31,804

40,071

19,319

7788

2997

1185

609

283

153

115

320

32

104,676

2001

40,818

43,033

19,913

7492

2981

1183

582

264

186

115

385

42

116,994

2000

37,440

38,742

17,611

6860

2627

1199

568

313

194

117

378

49

106,098

1999

36,167

37,294

16,877

6450

2638

1107

502

258

175

109

337

48

101,962

1998

35,370

36,550

16,319

6225

2299

1049

485

285

159

120

291

53

99,205

1997

36,159

36,557

15,658

5704

2165

913

396

240

136

83

305

48

98,364

1996

35,441

36,048

15,726

6127

2454

1225

594

360

175

135

362

45

98,692

Appendix 8: Engineering; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

304

556

733

753

692

793

702

687

616

633

3903

917

11,289

2018

359

649

763

642

642

658

604

578

569

479

3045

693

9681

2017

409

701

778

760

712

677

582

537

512

438

2471

533

9110

2016

464

744

767

629

572

568

524

427

436

374

1946

350

7801

2015

411

604

606

519

421

456

423

339

296

266

1429

257

6027

2014

408

538

593

520

444

404

313

327

282

265

1279

261

5634

2013

410

621

554

501

415

400

335

271

244

207

1075

190

5223

2012

607

925

878

720

565

436

315

307

275

241

957

163

6389

2011

505

751

744

607

436

382

292

248

191

192

831

112

5291

2010

420

536

463

423

341

288

246

186

175

159

688

101

4026

2009

364

488

513

447

280

264

177

140

176

150

569

83

3651

2008

366

450

441

483

271

208

184

160

139

100

439

80

3321

2007

766

636

501

684

295

239

160

119

125

110

346

57

4038

2006

1270

1159

701

439

290

208

178

144

88

81

354

54

4966

2005

1708

1666

957

544

337

246

171

125

121

89

361

62

6387

2004

1274

1011

654

410

261

212

145

96

93

83

239

51

4529

2003

1090

887

465

307

228

139

110

78

57

52

198

40

3651

2002

594

438

274

200

124

111

74

63

54

39

136

32

2139

2001

365

334

201

121

89

82

70

49

44

24

120

23

1522

2000

296

253

166

112

85

82

51

25

25

19

73

10

1197

1999

329

292

154

106

69

45

27

32

27

14

65

9

1169

1998

553

472

249

137

79

57

34

30

24

14

70

13

1732

1997

506

503

266

134

91

55

47

34

33

27

72

29

1797

1996

519

570

293

161

91

57

40

41

34

20

105

17

1948

Appendix 9: Engineering; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

421

223

97

57

24

8

7

3

1

1

5

1

848

2018

538

215

94

50

25

17

9

4

2

1

1

0

956

2017

408

203

89

45

24

12

10

7

3

1

5

0

807

2016

446

168

74

26

16

12

11

2

2

0

1

0

758

2015

480

180

80

28

21

11

5

3

3

1

3

0

815

2014

530

170

61

18

14

6

3

1

0

0

2

0

805

2013

476

143

55

28

7

3

3

2

3

0

1

0

721

2012

696

145

58

23

8

7

2

3

1

0

2

0

945

2011

396

105

44

28

1

5

1

2

2

1

4

1

590

2010

493

108

47

17

8

3

5

0

0

1

0

0

682

2009

481

125

48

21

4

3

2

1

0

0

2

0

687

2008

459

97

27

6

2

1

0

1

0

0

0

0

593

2007

428

71

20

7

2

4

1

0

0

0

1

1

535

2006

416

85

21

8

2

1

2

0

0

0

1

0

536

2005

281

71

14

7

3

2

3

0

1

0

2

0

384

2004

166

46

21

6

3

0

1

1

0

0

2

0

246

2003

150

40

15

9

5

1

2

2

0

0

0

0

224

2002

182

59

16

5

5

1

2

0

0

0

0

0

270

2001

184

44

12

3

1

1

0

0

0

0

0

0

245

2000

133

21

12

4

2

1

0

0

0

0

1

0

174

1999

95

28

9

8

4

3

0

0

1

0

0

0

148

1998

102

25

3

2

0

0

0

0

1

0

0

0

133

1997

69

31

7

2

1

0

0

1

0

0

1

0

112

1996

93

30

3

1

0

1

0

2

0

0

0

0

130

Appendix 10: Mathematics; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

6699

29,303

36,053

29,050

18,744

10,044

5010

2460

1281

707

1213

76

140,640

2018

6900

28,459

32,315

25,089

15,365

8053

3781

1875

1023

544

951

62

124,417

2017

8373

30,586

31,909

23,100

13,377

6610

3174

1665

776

410

803

57

120,840

2016

9399

31,543

30,693

21,180

11,726

5855

2813

1376

735

376

817

50

116,563

2015

9506

31,222

29,584

19,681

10,636

5015

2380

1185

704

357

692

44

111,006

2014

10,128

32,531

30,018

19,225

9946

4583

2114

1164

569

334

625

42

111,279

2013

11,164

34,035

27,707

17,430

8684

3995

1901

913

483

280

518

36

107,146

2012

11,924

34,047

26,256

15,406

7490

3412

1646

753

421

233

435

24

102,047

2011

11,739

31,742

23,661

13,445

6474

3065

1375

687

329

222

395

41

93,175

2010

12,043

30,284

22,015

12,147

5776

2597

1314

625

337

185

346

43

87,712

2009

13,921

31,430

22,202

11,838

5291

2404

1112

544

320

177

355

35

89,629

2008

13,756

28,895

19,548

10,004

4625

1967

1000

436

233

139

254

30

80,887

2007

13,502

27,072

17,790

8787

3969

1701

817

390

214

114

255

23

74,634

2006

12,930

24,360

15,399

7384

3367

1464

676

332

174

95

186

16

66,383

2005

12,228

21,462

13,238

6235

2663

1150

494

256

134

82

159

9

58,110

2004

11,045

20,145

12,524

5846

2391

1034

464

227

128

53

117

7

53,981

2003

10,051

18,541

11,565

5354

2299

969

429

233

102

60

89

9

49,701

2002

12,954

20,036

11,376

4974

2008

839

405

193

113

78

147

13

53,136

2001

15,646

21,625

11,731

5063

2041

903

421

218

115

70

151

15

57,999

2000

12,629

18,250

10,115

4344

1760

799

347

178

128

57

179

22

48,808

1999

11,637

17,188

9390

3900

1614

746

344

185

124

65

134

25

45,352

1998

11,923

17,079

9010

3879

1445

668

275

181

112

68

135

20

44,795

1997

11,639

16,980

8888

3550

1436

610

279

157

92

51

141

20

43,843

1996

12,925

16,409

8324

3209

1273

572

302

142

88

46

118

15

43,423

Appendix 11: Mathematics; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

65

194

241

197

169

168

126

121

81

95

465

82

2004

2018

62

157

204

172

149

134

109

120

91

63

396

87

1744

2017

76

211

229

220

160

135

127

114

86

81

348

64

1851

2016

73

187

217

172

131

95

81

83

69

70

289

46

1513

2015

70

157

157

138

108

96

77

59

62

37

218

34

1213

2014

63

123

141

141

85

79

73

63

47

54

186

29

1084

2013

103

167

170

164

113

80

73

57

53

51

187

32

1250

2012

145

301

282

219

177

103

89

62

51

50

180

32

1691

2011

123

227

232

169

111

95

78

46

43

48

161

22

1355

2010

97

143

127

102

96

75

50

44

36

31

120

11

932

2009

73

130

114

61

66

47

52

26

29

20

87

16

721

2008

81

121

74

94

62

42

41

19

19

17

61

14

645

2007

128

173

124

99

76

45

35

28

21

15

54

7

805

2006

258

334

292

203

130

96

62

36

25

12

67

11

1526

2005

418

598

419

254

154

88

46

30

41

24

79

12

2163

2004

200

323

276

178

99

72

46

27

15

21

79

13

1349

2003

171

312

252

167

118

66

45

30

19

20

57

5

1262

2002

133

144

115

78

33

34

30

19

13

10

37

5

651

2001

99

128

85

50

33

28

23

13

16

5

32

3

515

2000

111

124

96

72

32

32

20

13

16

2

24

3

545

1999

78

90

59

40

32

18

7

7

9

3

16

2

361

1998

82

92

74

51

19

21

14

8

9

4

19

3

396

1997

65

94

55

30

25

15

10

13

6

6

18

4

341

1996

77

94

48

31

17

13

7

10

4

2

15

2

320

Appendix 12: Mathematics; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

209

116

32

15

1

4

0

1

0

0

1

1

380

2018

188

70

20

10

7

4

1

1

0

1

1

0

303

2017

188

82

32

10

5

3

2

0

0

1

2

0

325

2016

186

81

27

6

5

6

1

2

0

1

2

0

317

2015

146

64

19

9

7

6

3

0

0

0

3

5

262

2014

188

74

21

14

2

3

2

3

1

0

1

0

309

2013

105

55

21

5

3

2

1

0

0

0

1

0

193

2012

137

44

15

7

4

0

0

0

0

1

0

0

208

2011

154

72

16

5

1

2

0

0

0

0

1

0

251

2010

149

38

9

1

2

0

0

0

0

0

0

0

199

2009

172

58

13

6

2

3

1

0

0

0

0

0

255

2008

182

60

17

10

2

1

0

1

0

1

0

0

274

2007

142

25

11

4

0

0

0

1

0

0

1

0

184

2006

103

19

10

0

0

3

0

0

0

0

0

0

135

2005

47

15

7

1

2

2

0

0

0

0

1

0

75

2004

29

15

2

2

1

0

0

0

0

1

0

0

50

2003

44

9

4

1

1

1

0

0

0

1

0

0

61

2002

58

11

4

1

1

0

1

0

0

0

0

0

76

2001

33

14

5

0

0

0

0

0

0

0

0

0

52

2000

14

8

1

1

0

0

0

0

1

0

0

0

25

1999

19

17

11

3

0

0

0

0

0

0

0

0

50

1998

13

0

0

0

0

0

0

0

0

0

0

0

13

1997

24

4

3

2

0

0

0

0

0

0

0

0

33

1996

14

4

0

0

0

0

0

0

0

0

0

0

18

Appendix 13: Medicine; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

32,632

87,901

123,439

114,430

74,021

41,855

21,419

11,750

6437

3803

6544

491

524,722

2018

32,954

87,021

116,893

104,276

67,184

36,883

18,252

9801

5368

3107

5286

428

487,453

2017

34,697

85,298

113,742

100,841

63,223

33,791

16,673

8727

4745

2774

4941

414

469,866

2016

38,234

87,710

112,135

97,267

60,841

32,213

15,654

8257

4439

2709

5207

529

465,195

2015

40,521

88,291

109,707

94,705

58,224

31,019

14,905

7918

4477

2717

5832

628

458,944

2014

40,624

92,283

109,327

90,649

55,051

28,911

13,990

7436

4202

2458

5405

568

450,904

2013

41,289

92,255

105,857

86,256

51,673

26,786

12,698

6673

3695

2327

4994

498

435,001

2012

41,028

89,549

100,167

79,535

47,099

23,732

11,042

5734

3162

1921

4067

376

407,412

2011

41,601

90,307

96,601

75,533

44,727

22,721

10,330

5445

3001

1807

4022

378

396,473

2010

41,978

86,978

90,744

69,004

40,512

19,867

8882

4520

2406

1412

2961

278

369,542

2009

43,272

85,827

85,661

64,921

37,982

18,906

8133

4017

2111

1182

2343

185

354,540

2008

40,897

82,267

81,553

60,311

35,441

17,508

7679

3725

1950

1051

2111

176

334,669

2007

38,463

77,769

76,739

56,234

32,953

16,307

7110

3375

1668

997

2001

164

313,780

2006

38,758

74,920

71,311

51,643

29,843

14,724

6444

3016

1557

919

1661

162

294,958

2005

35,551

68,556

64,807

47,329

26,537

13,392

5537

2547

1263

709

1397

104

267,729

2004

31,012

63,491

59,944

43,424

23,971

11,523

4923

2268

1100

615

1158

81

243,510

2003

30,023

61,475

58,837

41,177

22,346

10,441

4520

2106

1034

591

1096

83

233,729

2002

31,171

61,935

57,791

40,551

21,984

10,607

4788

2329

1233

756

1782

135

235,062

2001

33,478

62,567

57,354

39,741

21,599

10,464

4890

2500

1326

909

2066

202

237,096

2000

33,631

61,739

56,582

38,551

20,859

10,015

4747

2426

1347

883

2129

213

233,122

1999

35,250

61,986

55,680

37,215

19,770

9408

4365

2112

1188

753

1880

181

229,788

1998

37,467

63,936

54,781

34,893

18,088

8519

3940

1960

1057

689

1828

196

227,354

1997

38,355

65,500

54,442

33,502

17,306

8077

3675

1860

1071

654

1781

186

226,409

1996

33,562

57,324

48,654

31,209

15,609

7133

3143

1530

800

475

1312

154

200,905

Appendix 14: Medicine; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

2814

5925

7740

8687

8580

7701

6537

5439

4329

3686

13,864

1918

77,220

2018

3155

5843

7259

8142

8072

7309

6099

5089

4135

3483

13,284

1804

73,674

2017

3212

6233

7751

8469

7879

7166

5721

4923

4017

3410

12,232

1609

72,622

2016

3140

6262

7265

7941

7592

6845

5562

4494

3793

3214

11,211

1294

68,613

2015

2767

5415

6677

6846

6683

5917

4781

4162

3481

2928

9917

1114

60,688

2014

2512

5671

7050

7091

6655

5837

4940

4052

3458

2848

9965

1078

61,157

2013

2522

6157

7511

6977

6466

5633

4500

3845

3155

2671

9117

942

59,496

2012

2890

7662

9248

8327

7317

6027

4712

3948

3281

2778

9490

985

66,665

2011

2816

6711

7924

6999

6192

5360

4051

3526

2816

2317

8268

905

57,885

2010

2254

5771

8040

7538

6794

6000

4606

3669

2878

2417

8574

881

59,422

2009

2817

6738

8400

7939

6881

6002

4583

3785

2940

2389

8226

945

61,645

2008

2980

7192

8671

8030

6820

5868

4470

3584

2790

2350

7881

827

61,463

2007

4891

9557

9135

8240

6697

5524

4209

3358

2606

2147

7122

791

64,277

2006

5711

11,783

10,644

8646

6911

5654

4185

3230

2613

2074

6938

840

69,229

2005

6317

11,997

10,940

8529

6776

5383

4023

3225

2422

1932

6483

743

68,770

2004

6234

11,820

10,898

8570

6458

5227

3733

3137

2357

1836

6134

704

67,108

2003

5180

9798

8975

7408

6284

5107

3744

2997

2211

1685

5729

718

59,836

2002

3446

6744

6713

5952

5028

3951

3105

2362

1815

1440

4617

592

45,765

2001

3922

6079

5622

4834

4022

3275

2411

1877

1408

1159

3656

449

38,714

2000

4834

7038

5933

4903

4045

3080

2155

1740

1345

977

3507

451

40,008

1999

4529

6360

5111

4277

3419

2612

1955

1488

1089

944

2958

412

35,154

1998

4159

5899

4819

3926

3015

2332

1791

1375

1105

836

2769

422

32,448

1997

4240

5538

4690

3851

3002

2284

1795

1363

1066

822

2786

361

31,798

1996

2793

4235

3678

2923

2327

1796

1413

1086

798

638

2315

337

24,339

Appendix 15: Medicine; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

15,589

5470

1103

440

217

136

88

52

42

20

68

5

23,230

2018

13,758

5107

1216

524

249

164

88

59

37

27

43

2

21,274

2017

13,642

5168

1194

484

271

131

74

64

19

19

37

3

21,106

2016

14,394

5055

1272

461

224

127

72

38

23

16

38

1

21,721

2015

13,275

4471

1042

384

190

91

62

33

20

14

41

3

19,626

2014

14,118

4585

1026

419

215

111

85

37

31

20

50

9

20,706

2013

13,613

3934

1044

371

162

87

64

43

17

16

33

2

19,386

2012

11,730

3770

1046

381

171

110

69

35

20

13

39

1

17,385

2011

10,784

3590

996

340

178

83

51

29

19

11

48

3

16,132

2010

8585

3444

1066

405

193

104

54

37

25

18

51

4

13,986

2009

8379

3168

986

403

210

88

54

44

29

8

40

2

13,411

2008

7612

2779

960

363

173

99

52

54

18

15

37

5

12,167

2007

6477

2131

766

277

119

38

41

20

10

9

27

1

9916

2006

5485

1942

678

267

105

56

29

22

12

3

27

4

8630

2005

5087

1559

463

196

86

48

24

12

10

5

13

5

7508

2004

4450

1323

416

178

74

33

24

11

13

5

18

2

6547

2003

3689

1282

403

160

83

46

25

14

11

4

8

0

5725

2002

3237

1120

443

169

82

41

15

20

11

5

9

0

5152

2001

3189

1154

434

166

69

38

21

13

6

8

14

0

5112

2000

2661

999

390

174

83

32

18

15

7

12

19

3

4413

1999

2839

911

367

161

76

47

30

14

12

8

11

1

4477

1998

2109

618

213

108

43

16

11

12

2

2

13

2

3149

1997

1814

551

190

97

43

23

10

8

8

3

6

2

2755

1996

444

208

95

58

23

14

5

4

2

3

5

0

861

Appendix 16: Physics and astronomy; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

6328

34,570

53,492

57,200

44,911

29,291

16,829

9350

4885

2865

5151

288

265,160

2018

7503

37,233

53,885

53,608

40,585

25,900

14,444

8175

4221

2454

4591

219

252,818

2017

8526

39,703

53,708

50,834

36,684

22,092

12,422

6894

3547

2093

3837

203

240,543

2016

10,084

43,271

54,842

48,872

32,832

19,598

10,945

5827

3280

1899

3702

228

235,380

2015

11,103

46,361

54,700

46,337

30,975

17,699

9637

5284

2887

1706

3315

216

230,220

2014

12,942

49,065

55,978

45,309

28,594

15,798

8334

4567

2538

1515

3005

193

227,838

2013

14,402

52,573

55,977

42,722

25,745

14,043

7462

3996

2182

1407

2597

205

223,311

2012

16,158

51,902

52,472

38,613

21,939

12,055

6234

3536

1997

1224

2344

119

208,593

2011

18,458

54,761

51,712

35,191

19,762

10,500

5585

3068

1829

1120

2099

133

204,218

2010

17,489

53,811

49,036

31,792

17,587

9002

4944

2794

1680

966

1947

151

191,199

2009

21,954

58,719

49,269

30,479

15,832

8253

4489

2516

1479

897

1799

148

195,834

2008

23,395

59,694

47,381

28,368

14,574

7196

3935

2120

1239

778

1460

136

190,276

2007

25,080

57,861

44,245

24,950

12,379

6353

3428

1904

1052

670

1302

118

179,342

2006

24,711

57,148

42,386

23,242

11,276

5860

3046

1667

988

600

1187

101

172,212

2005

21,142

48,548

36,969

20,472

9898

5076

2674

1529

816

502

920

95

148,641

2004

17,432

44,318

34,327

19,288

9215

4886

2506

1409

784

464

800

51

135,480

2003

15,748

41,186

33,680

18,483

8816

4369

2284

1303

711

405

716

50

127,751

2002

20,577

44,620

33,880

18,639

9277

4479

2423

1344

759

450

782

71

137,301

2001

26,648

48,975

33,782

17,927

8591

4335

2306

1216

719

397

846

85

145,827

2000

27,360

47,646

31,033

16,335

7849

3956

2066

1079

639

369

848

71

139,251

1999

28,297

46,957

30,021

14,918

7129

3564

1847

1041

604

351

704

90

135,523

1998

26,032

47,612

29,601

14,690

6666

3336

1788

901

538

323

664

82

132,233

1997

28,134

46,665

28,173

13,548

6072

2959

1459

860

476

284

599

76

129,305

1996

26,989

45,492

27,389

12,764

5772

2821

1447

826

436

261

615

69

124,881

Appendix 17: Physics and astronomy; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

358

287

364

348

387

402

374

346

331

318

2190

598

6303

2018

163

324

342

369

342

330

335

285

292

300

1767

526

5375

2017

154

317

354

337

384

381

342

332

316

281

1644

434

5276

2016

168

346

415

378

365

342

283

297

267

220

1290

339

4710

2015

120

274

307

324

299

299

243

242

195

230

1109

268

3910

2014

186

296

376

339

336

263

257

257

217

195

1214

272

4208

2013

201

302

354

315

309

290

223

218

186

183

951

238

3770

2012

299

685

749

565

475

383

312

256

251

214

981

215

5385

2011

237

409

455

421

341

278

262

244

151

183

740

155

3876

2010

158

261

270

214

227

193

157

138

141

117

598

140

2614

2009

118

195

237

185

173

146

122

106

123

113

453

104

2075

2008

179

218

201

196

180

129

128

115

95

80

373

103

1997

2007

332

391

261

236

169

183

128

107

99

79

384

86

2455

2006

575

726

548

423

359

258

176

153

135

71

397

107

3928

2005

563

839

620

519

343

232

182

124

111

90

441

104

4168

2004

492

788

477

348

268

234

152

132

115

75

416

100

3597

2003

429

644

538

438

306

252

159

137

114

79

350

95

3541

2002

421

702

366

247

153

144

105

77

71

51

252

92

2681

2001

378

642

261

159

128

100

90

65

64

40

225

70

2222

2000

197

289

200

185

123

101

61

53

46

48

187

59

1549

1999

242

296

226

142

84

56

43

38

35

36

154

61

1413

1998

229

373

228

144

90

62

37

39

35

26

145

41

1449

1997

163

249

184

118

85

48

55

39

30

29

158

53

1211

1996

231

402

240

140

86

64

42

34

33

24

145

42

1483

Appendix 18: Physics and astronomy; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

305

236

68

38

17

9

5

5

2

0

5

1

691

2018

219

206

65

30

19

13

6

0

2

1

2

1

564

2017

248

163

54

21

25

13

8

2

2

3

3

0

542

2016

295

213

83

40

20

12

4

3

1

1

3

0

675

2015

275

181

85

36

21

9

2

3

0

0

3

2

617

2014

316

202

47

21

3

7

5

3

0

0

1

0

605

2013

352

185

49

25

6

1

0

1

1

1

2

0

623

2012

385

150

31

15

5

3

2

1

0

1

0

0

593

2011

354

159

46

24

0

1

1

1

0

0

0

0

586

2010

385

106

34

12

5

2

2

2

1

0

0

0

549

2009

357

119

30

17

3

2

0

1

0

0

0

0

529

2008

292

95

30

10

2

1

0

0

0

0

0

0

430

2007

371

105

21

2

4

1

1

0

1

0

0

0

506

2006

313

91

21

5

4

2

0

0

1

1

0

0

438

2005

121

20

7

3

0

0

1

0

0

0

0

0

152

2004

167

42

7

2

0

0

0

0

0

0

1

0

219

2003

127

48

13

6

3

0

0

1

0

0

0

0

198

2002

188

62

13

6

3

0

0

0

0

0

0

0

272

2001

109

35

12

2

0

1

0

0

0

0

0

0

159

2000

129

33

6

2

1

0

1

0

0

0

0

0

172

1999

118

33

13

4

0

0

1

0

0

0

0

0

169

1998

166

29

4

3

1

1

0

0

1

1

0

0

206

1997

104

27

7

6

2

1

0

1

0

0

0

0

148

1996

190

38

8

3

1

1

0

0

0

0

0

0

241

Appendix 19: Social sciences; journal articles; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

8234

20,421

29,481

35,820

35,636

29,924

22,051

14,910

9670

6017

10,464

312

222,940

2018

9359

19,268

27,436

31,558

29,970

24,178

17,147

11,585

7279

4705

8012

280

190,777

2017

9364

19,172

25,288

29,170

26,884

21,605

15,140

10,038

6333

3908

6973

329

174,204

2016

9899

19,070

25,164

26,817

24,921

19,282

13,645

8993

5770

3685

6814

426

164,486

2015

10,397

19,548

24,942

26,019

23,473

18,147

12,519

8367

5357

3282

6734

455

159,240

2014

10,635

19,811

24,956

25,717

22,408

17,223

11,908

7729

4981

3257

6796

589

156,010

2013

12,063

20,016

23,705

23,867

20,703

15,618

10,674

7046

4663

3040

6793

710

148,898

2012

11,543

19,538

22,337

21,775

18,239

13,362

9196

6059

3911

2476

5743

593

134,772

2011

10,913

17,950

20,876

19,913

16,919

12,101

8457

5348

3496

2322

5388

712

124,395

2010

9893

16,789

19,075

18,244

14,702

10,858

7234

4863

3262

2111

5102

737

112,870

2009

10,189

16,220

18,093

16,953

13,324

9594

6371

4097

2671

1827

4373

650

104,362

2008

9274

14,626

16,106

14,771

11,848

8313

5698

3551

2362

1587

3807

449

92,392

2007

8208

13,230

14,550

13,066

10,240

7197

4911

2984

2031

1310

3210

418

81,355

2006

7172

11,786

12,718

11,247

8454

6144

3904

2572

1684

1112

2713

270

69,776

2005

7224

10,511

10,937

9412

7039

4860

3177

2065

1356

864

1757

175

59,377

2004

6891

10,124

10,307

8709

6488

4394

2751

1791

1115

725

1653

147

55,095

2003

6694

9755

9917

8173

6110

4042

2669

1634

1110

700

1748

143

52,695

2002

7385

10,644

10,203

8417

6131

4023

2636

1745

1135

685

1654

165

54,823

2001

8493

10,649

9906

8043

5816

4055

2560

1655

1100

737

1969

262

55,245

2000

8089

10,261

9560

7470

5422

3763

2482

1590

1080

755

1987

299

52,758

1999

8074

10,347

8975

7167

4945

3365

2319

1411

1014

686

1861

289

50,453

1998

8235

9798

8749

6567

4833

3199

2128

1365

930

661

1862

291

48,618

1997

8014

9568

8513

6333

4370

2883

1908

1267

853

553

1628

256

46,146

1996

8344

9739

8290

6119

4240

2864

1830

1250

837

580

1622

239

45,954

Appendix 20: Social sciences; reviews; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

1767

2308

2458

2221

1874

1534

1236

996

767

593

1816

203

17,773

2018

2519

3439

3500

3045

2615

2011

1536

1039

822

568

1807

198

23,099

2017

2602

3683

3632

3111

2681

2101

1504

1126

837

649

1952

241

24,119

2016

2799

3342

3181

2833

2349

1868

1392

1014

749

536

1719

245

22,027

2015

2261

2715

2611

2368

1917

1569

1178

861

664

478

1801

277

18,700

2014

1992

2268

2006

1789

1541

1210

914

739

561

424

1482

225

15,151

2013

1719

1777

1661

1481

1211

1012

703

593

388

346

1066

194

12,151

2012

1946

2319

2224

1946

1638

1276

947

713

558

413

1287

226

15,493

2011

2105

2414

2316

2056

1670

1214

949

592

484

365

1208

204

15,577

2010

1983

2209

2228

1826

1459

1126

764

585

448

362

1129

253

14,372

2009

1737

1941

1881

1601

1239

931

688

527

401

324

1152

327

12,749

2008

1662

1835

1663

1499

1181

897

785

502

395

296

1211

458

12,384

2007

2111

2108

1795

1545

1218

945

691

521

406

259

1004

333

12,936

2006

2392

2646

2416

2213

1756

1374

909

675

482

313

1027

159

16,362

2005

2570

3020

2936

2511

2055

1513

1121

839

582

430

1594

216

19,387

2004

2148

2688

2435

2101

1654

1224

903

684

469

314

1076

136

15,832

2003

2000

2234

2112

1815

1409

1070

804

531

363

284

811

77

13,510

2002

1539

1703

1392

1228

872

681

514

391

266

184

555

59

9384

2001

935

873

679

531

413

331

206

153

106

80

331

36

4674

2000

881

855

655

581

411

309

210

152

131

81

353

60

4679

1999

1033

889

661

466

384

306

210

142

100

84

284

44

4603

1998

964

762

645

493

389

267

174

129

104

105

318

53

4403

1997

936

858

625

464

379

257

222

134

104

84

306

62

4431

1996

922

843

601

485

337

249

203

150

104

75

247

47

4263

Appendix 21: Social sciences; notes; number of references

Year

0–9

10–19

20–29

30–39

40–49

50–59

60–69

70–79

80–89

90–99

100–199

200–299

Total

2019

1602

983

472

244

133

72

49

40

25

13

26

1

3660

2018

1873

1042

482

258

180

106

49

30

29

16

37

1

4103

2017

1732

1076

436

215

132

79

50

38

26

15

52

7

3858

2016

1800

934

404

193

105

82

55

37

24

19

88

28

3769

2015

1438

732

283

136

77

53

42

17

24

14

99

16

2931

2014

1566

782

296

149

77

43

25

26

22

13

93

40

3132

2013

1320

574

226

105

86

41

33

20

23

10

90

46

2574

2012

1261

481

203

122

86

47

42

41

19

22

139

72

2535

2011

1325

564

244

99

73

54

43

26

14

19

99

40

2600

2010

1029

408

187

102

69

40

34

17

19

13

71

32

2021

2009

912

435

165

96

52

41

23

20

17

12

60

41

1874

2008

980

490

193

100

43

30

23

9

6

10

32

46

1962

2007

906

459

139

94

60

24

20

7

10

13

43

21

1796

2006

729

346

123

74

35

22

12

5

2

4

16

4

1372

2005

615

273

114

53

32

16

10

8

7

0

16

1

1145

2004

577

265

94

62

32

21

12

5

3

3

12

2

1088

2003

539

254

108

59

31

14

12

9

5

6

12

4

1053

2002

552

265

147

60

34

32

15

14

4

6

16

1

1146

2001

408

204

98

54

30

21

19

8

9

6

11

3

871

2000

472

190

85

47

25

19

18

5

0

3

13

2

879

1999

424

191

84

46

26

21

6

6

1

2

7

0

814

1998

368

150

75

47

32

21

9

4

5

4

8

1

724

1997

326

177

81

38

29

15

10

4

3

2

8

0

693

1996

348

171

103

48

24

26

7

5

2

5

13

1

753

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nicolaisen, J., Frandsen, T.F. Number of references: a large-scale study of interval ratios. Scientometrics 126, 259–285 (2021). https://doi.org/10.1007/s11192-020-03764-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11192-020-03764-3

Keywords

Navigation