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Table 2 Estimates of pooled prevalence and subgroup analysis of Clonorchis sinensis in second intermediate hosts

From: Spatio-temporal disparities of Clonorchis sinensis infection in animal hosts in China: a systematic review and meta-analysis

 

All areas

 

No. of data points

Sample size

No. of positive

Pooled prevalence,

% (95% CI)

I2, %

(95% CI)

R2, %

(QM P value)

QE P value

All second intermediate hosts

927

1,62,568

36,050

14.2 (12.7–15.7)

98.6 (98.6–98.7)

  

Taxonomic class

     

35.5 (< 0.0001)

 < 0.0001

Cyprinidae: Gobioninae

       

Pseudorasbora

144

46,390

20,358

48.5 (44.2–52.7)

99.1

  

Abbottina

40

5926

1800

28.7 (21.6–36.4)

99.0

  

Saurogobio

12

2396

430

38.9 (24.8–54.0)

98.0

  

Hemibarbus

3

195

14

4.7 (0.0–25.8)

81.0

  

Gnathopogon

1

109

9

8.3 (0.0–51.7)

Ne

  

Paraleucogobio

1

85

5

5.9 (0.0–47.7)

Ne

  

Mesogobio

1

119

9

7.6 (0.0–50.4)

Ne

  

Cyprinidae: Cyprininae

       

Carassius

92

15,014

1267

7.2 (4.6–10.4)

95.5

  

Cyprinus

55

4736

380

6.1 (2.9–10.2)

83.4

  

Cyprinidae: Leuciscinae

       

Ctenopharyngodon

70

12,718

3984

15.2 (10.9–20.1)

98.6

  

Squaliobarbus

2

859

97

9.1 (0.0–38.2)

44.4

  

Pseudaspius

1

145

108

74.5 (26.0–100.0)

Ne

  

Phoxinus

5

608

80

19.2 (4.2–40.8)

93.1

  

Leuciscus

1

27

4

14.8 (0.0–65.9)

Ne

  

Cyprinidae: Culterinae

       

Hemiculter

55

9576

1048

10.9 (6.9–15.7)

95.4

  

Parabramis

26

1255

143

5.2 (1.2–11.3)

89.4

  

Erythroculter

5

1200

139

16.7 (3.0–37.5)

92.8

  

Anabarilius

2

191

89

46.8 (14.5–80.7)

93.7

  

Pseudolaubuca

8

1502

153

11.8 (2.2–26.6)

81.9

  

Culter

4

217

87

18.8 (2.5–43.7)

94.5

  

Megalobrama

2

149

39

19.7 (0.5–54.0)

96.2

  

Pseudohemiculter

1

2342

396

16.9 (0.0–63.3)

Ne

  

Cyprinidae: Hypophthaemichthyinae

      

Aristichthys

41

4821

766

11.6 (6.6–17.5)

90.7

  

Hypophthalmichthys

31

1864

158

6.1 (2.0–11.9)

84.4

  

Cyprinidae: Acheilognathinae

       

Rhodeus

39

5381

880

14.7 (9.2–21.2)

97.9

  

Gobio

2

41

7

11.6 (0.0–46.9)

91.6

  

Cyprinidae: Labeoninae

       

Cirrhinus

29

2748

496

9.8 (4.6–16.6)

94.4

  

Sinilabeo

1

73

5

6.9 (0.0–49.9)

Ne

  

Ptychidio

1

72

3

4.2 (0.0–44.3)

Ne

  

Other fish in Cyprinidae

       

Xenocypris

3

898

41

2.4 (0.0–21.6)

0.0

  

Distoechodon

1

21

1

4.7 (0.0–51.5)

Ne

  

Opsariichthys

4

346

45

8.6 (0.0–28.4)

85.4

  

Zacco

1

732

130

17.8 (0.0–64.5)

Ne

  

Onychostoma

1

93

7

7.5 (0.0–50.7)

Ne

  

Puntius

1

152

5

3.3 (0.0–40.7)

Ne

  

Spinibarbus

1

82

3

3.7 (0.0–42.9)

0.0

  

Cypriniformes: Cobitidae

       

Misgurnus

20

3667

138

3.9 (0.3–10.0)

96.3

  

Schistura

1

153

44

28.8 (0.2–77.2)

Ne

  

Perciformes: Cichlidae

       

Oreochromis

20

2510

156

4.6 (0.7–11.1)

84.1

  

Cichla

2

119

4

4.7 (0.0–32.4)

80.2

  

Perciformes: Eleotridae

       

Perccottus

8

865

261

40.5 (23.4–58.9)

98.6

  

Micropercops

4

216

28

16.7 (1.6–40.9)

96.1

  

Bosttychus

4

150

7

5.3 (0.0–24.2)

75.0

  

Odontobutis

1

58

0

0.0 (0.0–29.4)

Ne

  

Other fish in Perciformes

       

Channa

9

459

23

4.7 (0.0–15.6)

80.9

  

Macropodus

4

187

38

12.4 (0.4–34.8)

88.7

  

Lateolabrax

5

219

3

0.7 (0.0–12.0)

0.0

  

Siniperca

4

298

25

13.8 (0.6–36.8)

97.1

  

Epinephelus

3

146

5

2.2 (0.0–20.5)

35.7

  

Rhinogobius

8

1045

59

5.6 (0.0–17.7)

82.6

  

Pampus

2

61

5

7.3 (0.0–38.4)

0.0

  

Mastacembelus

1

33

33

100.0 (67.7–100.0)

Ne

  

Caranx

1

31

1

3.2 (0.0–45.4)

Ne

  

Helostoma

1

26

3

11.5 (0.0–61.6)

Ne

  

Other fish except Perciformes and Cypriniformes

     

Pelteobagrus

16

993

37

3.0 (0.0–9.9)

88.4

  

Silurus

11

411

17

2.8 (0.0–11.5)

58.8

  

Clarias

1

29

1

3.5 (0.0–46.4)

Ne

  

Monopterus

10

1767

32

2.0 (0.0–9.8)

90.2

  

Salmo

4

162

5

1.3 (0.0–15.4)

72.5

  

Brachymystax

1

791

86

10.9 (0.0–54.9)

Ne

  

Salanx

1

48

0

0.0 (0.0–30.4)

Ne

  

Oryzias

3

95

8

7.0 (0.0–31.1)

30.2

  

Gambusia

2

142

4

2.9 (0.0–26.8)

0.0

  

Sebastiscus

1

39

5

12.8 (0.0–61.6)

Ne

  

Sardinella

1

44

0

0.0 (0.0–30.7)

Ne

  

Unspecified fish

53

15,501

1728

6.8 (3.5–10.8)

98.6

  

Shellfish

38

9220

108

0.7 (0.0–3.3)

88.1

  

Period of investigating

     

1.8 (0.0002)

 < 0.0001

 Before 1990

224

47,688

14,544

18.2 (14.9–21.6)

99.1

  

 1990–1999

114

19,024

4982

19.0 (14.5–24.0)

98.7

  

 2000–2009

337

56,251

10,831

13.2 (10.9–15.7)

98.2

  

 After 2010

252

39,605

5693

10.2 (7.8–12.8)

97.8

  

Season of investigating

     

2.3 (< 0.0001)

 < 0.0001

 Spring

65

14,199

4775

29.2 (22.4–36.6)

98.9

  

 Summer

93

11,611

2029

13.9 (9.5–18.9)

98.0

  

 Autumn

115

14,358

3815

10.5 (7.0–14.6)

98.4

  

 Winter

13

1076

248

7.6 (0.6–20.0)

98.9

  

 Unspecified

641

1,21,324

25,183

13.7 (12.0–15.5)

98.7

  

Detecting method

     

0.0 (0.6348)

 < 0.0001

 Direct compression

447

74,958

16,766

14.2 (12.1–16.5)

98.7

  

 Artificial digestion

237

34,458

6938

13.0 (10.3–16.0)

97.9

  

 Unspecified

243

53,152

12,346

15.1 (12.2–18.2)

99.0

  

Pseudorasbora spp.

144

46,390

20,358

48.5 (42.8–54.3)

99.1 (99.0–99.1)

  

Period of investigating

     

6.9 (0.0046)

 < 0.0001

 Before 1990

52

22,357

11,905

58.2 (49.0–67.2)

98.6

  

 1990–1999

23

5226

2474

55.6 (41.6–69.2)

98.5

  

 2000–2009

36

7360

2882

44.8 (33.8–56.0)

98.9

  

 After 2010

33

11,447

3097

32.7 (22.3–44.0)

99.2

  

Season of investigating

     

3.6 (0.0562)

 < 0.0001

 Spring

12

1671

825

68.2 (48.7–85.0)

99.6

  

 Summer

19

3275

1280

38.7 (24.2–54.4)

98.5

  

 Autumn

20

5699

2941

46.6 (31.8–61.8)

98.8

  

 Winter

2

322

244

89.2 (47.0–1.0)

98.8

  

 Unspecified

91

35,423

15,068

47.3 (40.3–54.5)

99.1

  

Detecting method

     

0.7 (0.2261)

 < 0.0001

 Direct compression

80

25,865

10,476

46.0 (38.3–53.7)

99.3

  

 Artificial digestion

20

3291

1540

42.3 (27.3–58.0)

96.9

  

 Unspecified

44

17,234

8342

55.9 (45.5–66.1)

98.6

  
 

Areas with population infection rate ≥ 1.0%

 

No. of data points

Sample size

No. of positive

Pooled prevalence,

% (95% CI)

I2, % (95% CI)

R2, %

(QM P value)

QE P value

All second intermediate hosts

425

69,593

13,703

13.3 (11.4–15.3)

97.8 (97.7–97.9)

  

Taxonomic class

     

29.9 (< 0.0001)

 < 0.0001

Cyprinidae: Gobioninae

       

Pseudorasbora

43

8304

3668

47.3 (40.1–54.7)

97.8

  

Abbottina

3

301

112

28.8 (8.2–55.6)

97.1

  

Saurogobio

9

2126

334

35.2 (20.6–51.4)

98.2

  

Hemibarbus

3

195

14

4.7 (0.0–23.9)

81.0

  

Gnathopogon

1

109

9

8.3 (0.0–48.1)

Ne

  

Paraleucogobio

       

Mesogobio

       

Cyprinidae: Cyprininae

       

Carassius

37

5819

688

8.0 (4.1–12.9)

95.8

  

Cyprinus

30

3510

299

8.1 (3.6–13.8)

80.8

  

Cyprinidae: Leuciscinae

       

Ctenopharyngodon

50

10,476

3572

18.6 (13.5–24.3)

98.7

  

Squaliobarbus

2

859

97

9.1 (0.0–35.7)

44.4

  

Pseudaspius

1

145

108

74.5 (29.3–99.9)

Ne

  

Phoxinus

2

484

67

33.0 (6.8–66.6)

97.5

  

Leuciscus

       

Cyprinidae: Culterinae

       

Hemiculter

19

2468

502

16.5 (9.1–25.5)

96.1

  

Parabramis

17

738

115

6.7 (1.5–14.4)

91.7

  

Erythroculter

2

1095

122

20.7 (1.6–52.1)

95.5

  

Anabarilius

       

Pseudolaubuca

4

1291

139

19.8 (4.1–42.5)

86.7

  

Culter

1

37

11

29.7 (0.1–77.5)

Ne

  

Megalobrama

1

57

3

5.3 (0.0–43.8)

Ne

  

Pseudohemiculter

1

2342

396

16.9 (0.0–59.7)

Ne

  

Aristichthys

32

4241

670

10.4 (5.5–16.4)

92.3

  

Hypophthalmichthys

15

1101

109

8.0 (2.0–16.7)

83.3

  

Cyprinidae: Acheilognathinae

       

Rhodeus

13

1640

600

26.9 (15.9–39.6)

97.9

  

Gobio

1

21

0

0 (0–32.29)

Ne

  

Cyprinidae: Labeoninae

       

Cirrhinus

26

2578

487

10.6 (5.3–17.4)

94.7

  

Sinilabeo

1

73

5

6.9 (0.0–46.3)

Ne

  

Ptychidio

1

72

3

4.2 (0.0–40.7)

Ne

  

Other fish in Cyprinidae

       

Xenocypris

2

873

41

4.5 (0.0–29.1)

0.0

  

Distoechodon

       

Opsariichthys

1

51

3

5.9 (0.0–45.4)

Ne

  

Zacco

1

732

130

17.8 (0.0–61.0)

Ne

  

Onychostoma

1

93

7

7.5 (0.0–47.1)

Ne

  

Puntius

       

Spinibarbus

1

82

3

3.7 (0.0–39.2)

Ne

  

Cypriniformes: Cobitidae

       

Misgurnus

8

1102

42

1.5 (0.0–9.1)

68.9

  

Schistura

1

153

44

28.8 (0.7–73.9)

Ne

  

Perciformes: Cichlidae

       

Oreochromis

17

2367

151

5.1 (0.9–11.8)

86.1

  

Cichla

       

Perciformes: Eleotridae

       

Perccottus

6

738

167

30.2 (14.1–49.3)

98.6

  

Micropercops

       

Bosttychus

1

23

2

8.7 (0–54.5)

Ne

  

Odontobutis

1

58

0

0.0 (0.0–26.2)

Ne

  

Other fish in Perciformes

       

Channa

5

339

19

7.4 (0.0–23.0)

89.4

  

Macropodus

1

75

27

36.0 (2.4–81.3)

Ne

  

Lateolabrax

3

168

3

1.6 (0.0–17.2)

44.0

  

Siniperca

4

298

25

13.6 (1.0–34.8)

97.1

  

Epinephelus

       

Rhinogobius

1

619

31

5.0 (0.0–40.3)

Ne

  

Pampus

1

25

1

4.0 (0.0–45.0)

Ne

  

Mastacembelus

       

Caranx

       

Helostoma

       

Pelteobagrus

5

598

6

0.7 (0.0–10.0)

59.2

  

Silurus

7

301

7

1.2 (0.0–9.8)

30.8

  

Clarias

1

29

1

3.5 (0.0–42.8)

Ne

  

Monopterus

4

461

32

9.9 (0.3–28.6)

84.6

  

Salmo

2

99

5

3.8 (0.0–27.5)

89.2

  

Brachymystax

1

791

86

10.9 (0.0–51.2)

Ne

  

Salanx

1

48

0

0.0 (0.0–27.0)

Ne

  

Oryzias

       

Gambusia

       

Sebastiscus

       

Sardinella

1

44

0

0.0 (0.0–27.4)

Ne

  

Unspecified fish

25

7636

710

3.4 (0.6–7.9)

97.0

  

Shellfish

8

1708

30

1.7 (0.0–9.2)

92.4

  

Period of investigating

     

0.0 (0.6575)

 < 0.0001

 Before 1990

95

10,354

2169

15.3 (11.2–19.9)

97.7

  

 1990–1999

32

6976

1642

12.8 (6.7–20.4)

98.9

  

 2000–2009

178

35,725

6539

13.3 (10.5–16.5)

97.7

  

 After 2010

120

16,538

3353

11.9 (8.6–15.5)

97.6

  

Season of investigating

     

4.7 (< 0.0001)

 < 0.0001

 Spring

39

9732

3379

26.6 (19.1–34.9)

98.7

  

 Summer

37

4246

426

7.4 (3.1–13.1)

97.1

  

 Autumn

42

5657

1144

8.0 (3.7–13.6)

97.9

  

 Winter

3

164

1

0.1 (0.0–16.0)

0.0

  

 Unspecified

304

49,794

8753

13.6 (11.4–15.9)

97.3

  

Detecting method

     

0.1 (0.2996)

 < 0.0001

 Direct compression

167

30,699

5597

14.3 (11.2–17.6)

98.1

  

 Artificial digestion

181

28,403

6017

11.7 (9.1–14.6)

97.7

  

 Unspecified

77

10,491

2089

15.3 (10.7–20.4)

97.5

  

Pseudorasbora spp.

43

8304

3668

47.3 (37.7–57.1)

97.8 (97.4; 98.1)

  

Period of investigating

     

0.0 (0.8666)

 < 0.0001

 Before 1990

18

2694

1097

44.8 (29.7–60.3)

97.1

  

 1990–1999

4

605

204

38.3 (11.1–70.1)

97.7

  

 2000–2009

10

1730

684

50.1 (29.8–70.5)

98.8

  

 After 2010

11

3275

1683

52.4 (32.9–71.5)

96.3

  

Season of investigating

     

2.4 (0.2716)

 < 0.0001

 Spring

5

228

164

68.2 (39.5–91.2)

96.3

  

 Summer

7

729

236

31.1 (11.7–54.7)

95.3

  

 Autumn

5

1265

758

47.0 (20.5–74.5)

96.6

  

 Winter

       

 Unspecified

26

6082

2510

47.9 (35.8–60.2)

98.0

  

Detecting method

   

0.0 (0.0–0.0)

0.0

6.5 (0.0795)

 < 0.0001

 Direct compression

21

4469

1926

51.3 (38.0–64.6)

98.3

  

 Artificial digestion

13

2748

1238

32.0 (17.1–48.9)

97.4

  

 Unspecified

9

1087

504

60.6 (39.8–79.7)

96.2

  
 

Areas with population infection rate < 1.0%

 

No. of data points

Sample size

No. of positive

Pooled prevalence,

% (95% CI)

I2, % (95% CI)

R2, %

(QM P value)

QE P value

All second intermediate hosts

502

92,975

22,347

14.9 (12.7–17.2)

99.0 (98.9–99.0)

  

Taxonomic class

     

39.3 (< 0.0001)

 < 0.0001

Cyprinidae: Gobioninae

       

Pseudorasbora

101

38,086

16,690

49.0 (43.7–54.3)

99.3

  

Abbottina

37

5625

1688

28.7 (20.9–37.1)

99.1

  

Saurogobio

3

270

96

49.8 (20.1–79.6)

96.1

  

Hemibarbus

       

Gnathopogon

       

Paraleucogobio

1

85

5

5.9 (0.0–50.2)

Ne

  

Mesogobio

1

119

9

7.7 (0.0–52.9)

Ne

  

Cyprinidae: Cyprininae

       

Carassius

55

9195

579

6.8 (3.4–11.1)

94.7

  

Cyprinus

25

1226

81

3.9 (0.4–9.8)

84.7

  

Cyprinidae: Leuciscinae

       

Ctenopharyngodon

20

2242

412

7.8 (2.2–15.9)

97.3

  

Squaliobarbus

       

Pseudaspius

       

Phoxinus

3

124

13

11.1 (0.0–38.4)

87.4

  

Leuciscus

1

27

4

14.8 (0.0–68.3)

Ne

  

Cyprinidae: Culterinae

       

Hemiculter

36

7108

546

8.4 (3.9–14.1)

92.7

  

Parabramis

9

517

28

3.0 (0.0–13.1)

57.8

  

Erythroculter

3

105

17

14.1 (0.0–42.8)

93.9

  

Anabarilius

2

191

89

46.8 (13.3–82.1)

93.7

  

Pseudolaubuca

4

211

14

5.6 (0.0–25.1)

73.3

  

Culter

3

180

76

15.3 (0.0–44.9)

96.3

  

Megalobrama

1

92

36

39.1 (1.6–87.9)

Ne

  

Pseudohemiculter

       

Aristichthys

9

580

96

16.3 (4.7–32.3)

64.4

  

Hypophthalmichthys

16

763

49

4.6 (0.2–12.7)

84.4

  

Cyprinidae: Acheilognathinae

       

Rhodeus

26

3741

280

9.8 (4.2–17.2)

94.7

  

Gobio

1

20

7

35.0 (0.0–89.0)

Ne

  

Cyprinidae: Labeoninae

       

Cirrhinus

3

170

9

4.2 (0.0–25.7)

51.9

  

Sinilabeo

       

Ptychidio

       

Other fish in Cyprinidae

       

Xenocypris

1

25

0

0.0 (0.0–36.6)

Ne

  

Distoechodon

1

21

1

4.8 (0.0–54.0)

Ne

  

Opsariichthys

3

295

42

9.6 (0.0–35.0)

89.1

  

Zacco

       

Onychostoma

       

Puntius

1

152

5

3.3 (0.0–43.3)

Ne

  

Spinibarbus

       

Cypriniformes: Cobitidae

       

Misgurnus

12

2565

96

6.0 (0.4–16.1)

97.6

  

Schistura

       

Perciformes: Cichlidae

       

Oreochromis

3

143

5

2.2 (0.0–21.6)

33.8

  

Cichla

2

119

4

4.8 (0.0–34.1)

80.2

  

Perciformes: Eleotridae

       

Perccottus

2

127

94

73.4 (35.1–98.4)

0.0

  

Micropercops

4

216

28

16.7 (1.2–42.2)

96.1

  

Bosttychus

3

127

5

4.4 (0.0–27.3)

80.2

  

Odontobutis

       

Other fish in Perciformes

       

Channa

4

120

4

1.8 (0.0–18.6)

26.8

  

Macropodus

3

112

11

6.3 (0.0–30.8)

69.0

  

Lateolabrax

2

51

0

0.0 (0.0–21.2)

0.0

  

Siniperca

       

Epinephelus

3

146

5

2.2 (0.0–21.7)

35.7

  

Rhinogobius

7

426

28

5.8 (0.0–19.9)

85.1

  

Pampus

1

36

4

11.1 (0.0–61.9)

Ne

  

Mastacembelus

1

33

33

100.0 (65.3–100.0)

Ne

  

Caranx

1

31

1

3.2 (0.0–47.9)

Ne

  

Helostoma

1

26

3

11.5 (0.0–64.1)

Ne

  

Pelteobagrus

11

395

31

4.7 (0.0–15.1)

90.4

  

Silurus

4

110

10

7.3 (0.0–29.3)

66.8

  

Clarias

       

Monopterus

6

1306

0

0.0 (0.0–6.7)

0.0

  

Salmo

2

63

0

0.0 (0.0–20.3)

0.0

  

Brachymystax

       

Salanx

       

Oryzias

3

95

8

7.0 (0.0–32.4)

30.2

  

Gambusia

2

142

4

2.9 (0.0–28.4)

0.0

  

Sebastiscus

1

39

5

12.8 (0.0–64.0)

Ne

  

Sardinella

       

Unspecified fish

28

7865

1018

10.5 (5.0–17.5)

99.1

  

Shellfish

30

7512

78

0.5 (0.0–3.5)

86.6

  

Period of investigating

     

3.5 (0.0002)

 < 0.0001

 Before 1990

129

37,334

12,375

20.3 (15.6–25.3)

99.4

  

 1990–1999

82

12,048

3340

21.7 (15.8–28.2)

98.6

  

 2000–2009

159

20,526

4292

13.0 (9.5–17.0)

98.6

  

 After 2010

132

23,067

2340

8.8 (5.6–12.6)

97.6

  

Season of investigating

     

1.8 (0.0103)

 < 0.0001

 Spring

26

4467

1396

33.2 (21.3–46.2)

99.2

  

 Summer

56

7365

1603

19.2 (12.3–27.0)

98.1

  

 Autumn

73

8701

2671

12.1 (7.2–17.9)

98.5

  

 Winter

10

912

247

11.2 (1.0–28.6)

99.1

  

 Unspecified

337

71,530

16,430

13.7 (11.2–16.5)

99.1

  

Detecting method

     

0.0 (0.5954)

 < 0.0001

 Direct compression

280

44,259

11,169

14.2 (11.4–17.3)

98.9

  

 Artificial digestion

56

6055

921

18.0 (11.2–25.9)

98.0

  

 Unspecified

166

42,661

10,257

15.0 (11.3–19.1)

99.2

  

Pseudorasbora spp.

101

38,086

16,690

49.0 (41.9–56.2)

99.3 (99.2–99.3)

  

Period of investigating

     

18.7 (< 0.0001)

 < 0.0001

 Before 1990

34

19,663

10,808

65.0 (54.2–75.2)

98.9

  

 1990–1999

19

4621

2270

59.3 (44.4–73.4)

98.6

  

 2000–2009

26

5630

2198

42.7 (30.4–55.5)

99.0

  

 After 2010

22

8172

1414

23.9 (13.2–36.5)

99.0

  

Season of investigating

     

1.8 (0.2113)

 < 0.0001

 Spring

7

1443

661

68.3 (41.9–89.6)

99.7

  

 Summer

12

2546

1044

43.3 (23.9–63.8)

99.0

  

 Autumn

15

4434

2183

46.5 (28.9–64.7)

99.0

  

 Winter

2

322

244

89.2 (44.8–100.0)

98.8

  

 Unspecified

65

29,341

12,558

47.1 (38.4–56.0)

99.3

  

Detecting method

     

0.9 (0.2383)

 < 0.0001

 Direct compression

59

21,396

8550

44.1 (35.0–53.4)

99.4

  

 Artificial digestion

7

543

302

62.5 (35.1–86.3)

95.4

  

 Unspecified

35

16,147

7838

54.8 (42.7–66.5)

98.8

  
  1. CI confidence interval, QM the regression model heterogeneity, QE the residual error heterogeneity