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Table 3 Inference of the relative sizes (in MT) of 11 stocks in 2014. \( \widehat{B_s} \) is the survey index in biomass (MT)

From: The systematic sampling for inferring the survey indices of Korean groundfish stocks

Season

Stock

\( \widehat{B_s} \)

\( \widehat{SE}{\left(\widehat{B_s}\right)}_{SRS} \)

\( \widehat{SE}{\left(\widehat{B_s}\right)}_{SYS} \)

Change (%)

Spring

1

7.2

3.2

2.3

− 27.78

2

274.2

150.3

104.2

− 30.65

3

41.0

39.2

39.8

1.50

4

4.1

2.0

2.1

1.75

5

2.2

0.9

0.8

− 16.65

6

8.3

2.9

2.8

− 2.57

7

1.9

0.8

0.6

− 16.37

8

13.7

5.5

5.3

− 4.18

9

2.5

1.0

1.0

− 0.30

10

13.7

5.4

4.1

− 24.81

11

3.4

0.9

0.8

− 15.51

Fall

1

22.7

9.4

6.5

− 31.13

2

98.7

55.5

55.3

− 0.40

3

577.5

468.7

476.4

1.66

4

4.5

2.6

2.6

− 1.42

5

1.4

0.8

0.8

− 3.17

6

15.0

4.7

4.4

− 4.44

7

15.3

4.3

3.5

− 19.52

8

9.2

4.8

3.9

− 17.90

9

19.8

5.0

3.8

− 22.98

10

0.5

0.3

0.3

− 6.32

11

66.0

26.7

25.9

− 2.74

  1. The column of “Change (%)” indicates a change in the standard error (SE) under the systematic sampling (SYS) relative to that under the simple random sampling (SRS), i.e., Change (%) = \( 100\cdot \left[\left(\widehat{SE}{\left({\widehat{B}}_s\right)}_{SYS}-\widehat{SE}{\left({\widehat{B}}_s\right)}_{SRS}\right)/\widehat{SE}{\left({\widehat{B}}_s\right)}_{SRS}\right] \). Those 11 stocks are as follows: 1 = Pacific cod (Gadus macrocephalus); 2 = White croaker/Silver jewfish (Argyrosomus argentatus); 3 = Pacific herring (Clupea pallasii); 4 = Red tilefish (Branchiostegus japonicus); 5 = Blackfin flounder (Glyptocephalus stelleri); 6 = Yellow croaker (Larimichthys polyactis); 7 = Gazami crab (Portunus trituberculatus); 8 = Mottled skate (Raja pulchra); 9 = Chub mackerel (Scomber japonicus); 10 = Black scraper (Thamnaconus modestus); 11 = Largehead hairtail (Trichiurus lepturus)