High School Mathematics Problems from Alaska
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Sheet
for the Units and Self-Assessment
for Cultural Standards in Practice.
Investigation
of Herring Statistics
Bobbi
Jordan
bew2@ptialaska.net
MS Word
Download
Standards:
Estimation
and Computation, Statistics and Probability.
Performance
Standards: A3.3.4,
A6.2.3, A.6.3.1, A6.3.2
Concepts: Reading a
fairly complex chart, finding measures of central tendency, making
calculation with large numbers, creating histograms and box
plots.
Carnegie
Chapter: Analyzing
Data and Making Predictions
Overview:
Students
answer a variety of questions using the "Fisherman’s Copy" of
statistics from the Alaska Department of Fish & Game that gives
the history of the Sitka Sac Roe Herring Fishery. This fishery is a
limited entry fishery that occurs every spring in Sitka. The
fishermen are given this data, updated each year, to help them work
with Fish & Game to decide when to open the fishery. For more
information or an updated "Fisherman’s Copy," please contact the
Alaska Department of Fish and Game.
Sitka
Sound Sac Roe Fishery Effort and Value, 1975-1996
|
Year
|
Quota
(tons)
|
Harvest
(tons)
|
Percent
of Quota Harvested
|
Roe
Percent
|
Price/Ton
|
Fishery
Value (millions)
|
Number
of Vessels
|
Number
of Tenders
|
2 hr
Notice In Effect
|
Fishing
Dates
|
Total
Hours Fished (hr:min)
|
Dominant
Age
|
Percent
at Age
|
Foot-note
|
|
1975
|
550
|
1,532
|
279
|
|
|
|
40
|
16
|
|
|
1:30
|
|
|
1
|
|
1976
|
780
|
800
|
103
|
9-11.5
|
|
0.23
|
38
|
26
|
|
4/16
|
4:00
|
|
|
|
|
1977
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
|
|
|
1978
|
|
175
|
70
|
|
|
|
23
|
9
|
|
4/5
|
5:30
|
|
|
|
|
1979
|
2,000
|
2,250
|
113
|
9.34
|
$2,000
|
4.5
|
48
|
50
|
|
4/12
|
NA
|
3
|
65
|
2
|
|
1980
|
4,000
|
4,385
|
110
|
10.8
|
|
|
50
|
76
|
9AM,
4/4
|
4/4,
4/5
|
17:00
|
3
|
11
|
|
|
1981
|
3,000
|
3,506
|
103
|
11.04
|
|
|
51
|
63
|
10PM,
3/23
|
3/24,
3/26
|
4:30
|
5
|
62
|
|
|
1982
|
3,000
|
4,363
|
146
|
11.7
|
|
|
51
|
88
|
2AM,
3/26
|
3/30
|
6:10
|
6
|
57
|
|
|
1983
|
5,500
|
5,450
|
99
|
11.1
|
$760
+ $76/1%
|
4.5
|
51
|
139
|
4AM,
3/23
|
3/26,
3/29
|
10:05
|
3
|
59
|
|
|
1984
|
5,000
|
5,830
|
117
|
11.05
|
$450
+ $45/1%
|
2.8
|
50
|
76
|
10PM,
3/22
|
3/26-3/28
|
11:10
|
4
|
67
|
|
|
1985
|
7,700
|
7,475
|
97
|
11.33
|
$800
+ $80/1%
|
6.77
|
52
|
152
|
6AM,
3/24
|
3/29,
4/1, 4/5
|
6:55
|
5
|
44
|
|
|
1986
|
5,029
|
5,543
|
108
|
11.89
|
$1000
+ $100/1%
|
6.5
|
52
|
99
|
7AM,
3/28
|
4/2,
4/8
|
3:10
|
3
|
36
|
|
|
1987
|
3,600
|
4,216
|
117
|
9.88
|
$1000
+ $100/1%
|
4.17
|
52
|
74
|
7AM,
3/23
|
3/31
|
4:10
|
3
|
53
|
|
|
1988
|
9,200
|
9,575
|
104
|
9.45
|
$500
+ $50/1%
|
4.5
|
52
|
81
|
7AM,
3/25
|
4/4-4/14
|
114:00:00
|
4
|
78
|
2
|
|
1989
|
11,700
|
12,135
|
104
|
9.36
|
$100
+ $10/1%
|
1.21
|
51
|
99
|
6AM,
3/22
|
3/31-4/8
|
88:00:00
|
5
|
77
|
2
|
|
1990
|
4,150
|
3,804
|
92
|
10.6
|
$520
|
1.97
|
52
|
76
|
6AM,
4/4
|
4/5-4/6
|
3:30
|
6
|
71
|
|
|
1991
|
3,200
|
1,908
|
60
|
8.88
|
$106
|
0.2
|
22
|
70
|
7AM,
3/29
|
4/10-4/13
|
78:30:00
|
3
|
75
|
2
|
|
1992
|
3,356
|
5,368
|
160
|
9.38
|
$275
|
1.5
|
52
|
67
|
8AM,
3/30
|
4/6
|
1:23
|
4
|
89
|
|
|
1993
|
9,700
|
10,186
|
105
|
10.67
|
$325
|
3.07
|
50
|
76
|
8AM,
3/26
|
3/27-4/3
|
52:20:00
|
5
|
82
|
2
|
|
1994
|
4,432
|
4,758
|
107
|
11.03
|
$650
+ $65/1%
|
3.4
|
51
|
68
|
8AM,
3/28
|
3/29,
3/31
|
6:45
|
6
|
80
|
|
|
1995
|
2,609
|
2,908
|
111
|
11.8
|
$1100
+ $100/1%
|
3.67
|
51
|
50
|
8AM,
3/23
|
3/25,
3/27
|
3:30
|
7
|
62
|
|
|
1996
|
8,144
|
8,144
|
100
|
9.6
|
|
13.86
|
52
|
97
|
8AM,
3/23
|
3/31-4/8
|
159:00:00
|
3
|
47
|
3
|
28 purse seine and 12 gillnet
vessels participated
Coop fishery
[4168 Competitive (10.1%) with
2000 + 200/1%] & [3976 Cooperative (9.2%0 with 1500 +
150/1%)
Sitka Sound Herring Fishery
Information
|
Year
|
Quota
(tons)
|
Harvest
(tons)
|
Roe
Percent
|
2 hr
Notice In Effect
|
Fishing
Dates
|
Total
Hours Fished (hr:min)
|
Date
of First Spawn
|
Nautical
Miles Spawn
|
Estimated
Escapement (tons)
|
Total
Return (tons)
|
Pre-season
Forecast (tons)
|
ASA
Model Return
|
Foot-note
|
|
1956
|
|
|
|
|
|
|
|
100
|
45,500
|
45,500
|
|
|
|
|
1957
|
|
|
|
|
|
|
|
80
|
36,300
|
36,300
|
|
|
|
|
1958
|
|
|
|
|
|
|
|
93
|
42,200
|
42,200
|
|
|
|
|
1959
|
|
|
|
|
|
|
|
46
|
20,950
|
20,950
|
|
|
|
|
1960
|
|
|
|
|
|
|
|
45
|
20,250
|
20,250
|
|
|
|
|
1961
|
|
|
|
|
|
|
|
NA
|
NA
|
NA
|
|
|
|
|
1962
|
|
|
|
|
|
|
|
NA
|
NA
|
NA
|
|
|
|
|
1963
|
|
|
|
|
|
|
|
NA
|
NA
|
NA
|
|
|
|
|
1964
|
|
234
|
|
|
|
|
1-Apr
|
19
|
8,750
|
8,984
|
|
|
|
|
1965
|
|
315
|
|
|
|
|
8-Apr
|
21
|
9,450
|
9,765
|
|
|
|
|
1966
|
|
340
|
|
|
|
|
8-Apr
|
23
|
10,450
|
10,790
|
|
|
|
|
1967
|
|
268
|
|
|
|
|
5-Apr
|
15
|
6,850
|
7,118
|
|
|
|
|
1968
|
|
260
|
|
|
|
|
31-Mar
|
17
|
7,500
|
7,760
|
|
|
|
|
1969
|
|
573
|
|
|
|
|
8-Apr
|
15
|
6,850
|
7,423
|
|
|
|
|
1970
|
|
743
|
5-10
|
|
|
|
12-Apr
|
11
|
5,150
|
5,893
|
|
|
|
|
1971
|
750
|
676
|
8.3
|
|
|
|
6-Apr
|
9
|
5,950
|
6,636
|
|
6,284
|
1
|
|
1972
|
850
|
558
|
|
|
|
|
28-Apr
|
14
|
6,600
|
7,158
|
|
11,940
|
|
|
1973
|
600
|
597
|
8-9
|
|
|
|
11-Apr
|
10
|
9,400
|
9,997
|
|
10,823
|
|
|
1974
|
600
|
681
|
10-13
|
|
|
3:30
|
13-Apr
|
10
|
3,850
|
4,531
|
|
11,999
|
|
|
1975
|
550
|
1,532
|
10-12
|
|
|
1:30
|
18-Apr
|
8
|
4,900
|
6,432
|
6,400
|
10,743
|
|
|
1976
|
780
|
800
|
9-11.5
|
|
4/16
|
4:00
|
15-Apr
|
13
|
2,350
|
3,150
|
7,300
|
10,243
|
|
|
1977
|
0
|
0
|
|
|
|
|
8-Apr
|
11
|
2,950
|
2,950
|
5,650
|
11,329
|
|
|
Year
|
Quota
(tons)
|
Harvest
(tons)
|
Roe
Percent
|
2 hr
Notice In Effect
|
Fishing
Dates
|
Total
Hours Fished (hr:min)
|
Date
of First Spawn
|
Nautical
Miles Spawn
|
Estimated
Escapement (tons)
|
Total
Return (tons)
|
Pre-season
Forecast (tons)
|
ASA
Model Return
|
Foot-note
|
|
1978
|
|
175
|
10-12
|
|
4/5
|
5:30
|
8-Apr
|
13
|
2,700
|
2,875
|
4,500
|
6,740
|
|
|
1979
|
2,000
|
2,250
|
9.34
|
|
4/12
|
NA
|
13-Apr
|
| |
