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Tahun Effort n L Z1 Z21966 2.08 4.733 13.25 2.41 2.951967 2.08 11.902 13.01 2.09 3.241968 3.5 12.503 12.99 2.72 3.271969 3.6 9.06 13.07 2.62 3.161970 3.8 8.132 12.37 3.73 4.291971 7.19 3.635 12.3 3.88 4.441972 9.94 10.51 12.01 4.61 5.141973 6.06 7.96 12.6 3.3 3.85X 4.78125 8.554375 12.7 3.17 3.7925
K = 1,16
2.41 -2.44 /tahun2.69 2.99 /tahun
Tabel 7.1. Metode perhitungan mortaltas alami dari persamaan (7.12) dan (7.14) dari data Selaroides leptolepis di pantai Thailand. Sumber : Boonyubel dan Hongskul, 1978.
* Lmak = 20,0 Lc = 10,0
Z 1=K (Lmak−L )
L−Lc
Z 2 =n . K
(n+1 ) . Loge[ Lmak−LLmak−Lc ]
N (#)∆LnN (Y) L+∆L/2 (x)
6.5 3 1.10 0.56 3.86 7.007.5 143 4.96 0.67 0.64 8.008.5 271 5.60 0.78 0.16 9.009.5 318 5.76 0.90 0.27 10.0010.5 416 6.03 1.03 0.16 11.0011.5 488 6.19 1.17 0.23 12.00 3. Umur relatif dihitung dengan menggunakan persamaan (7.16).
12.5 614 6.42 1.32 0.00 13.0013.5 613 6.42 1.49 -0.22 14.00 k = 0,5914.5 493 6.20 1.67 -0.57 15.0015.5 278 5.63 1.88 -1.10 16.00 L∞ =
16.5 93 4.53 2.12 -0.24 17.0017.5 73 4.29 2.40 -2.34 18.0018.5 7 1.95 2.74 -1.25 19.0019.5 2 0.69 3.15 0.00 20.0020.5 2 0.69 3.70 Err:502 21.0021.5 0 Err:502 4.53 Err:502 22.0022.5 1 0.00 6.19 0.00 23.00 Ln M =
23.5 1 0.00 Err:502 0.00 24.00 M =a = Z =
b = F =E =
Z = /th M/K =N0 = Lc/L∞ =
E > 0,5, atau F > M, maka Status Perikanan Over FishingE = 0,5, atau F > M, maka Status Perikanan MSYE < 0,5, atau F < M, maka Status Perikanan Under Fishing
Lc =
Tabel 7.2. Data frekwensi panjang dari Yellow stripped goat fish Upeneus vittatus yang ditangkap dari teluk Manila, Philipina.
Klas Mid Length (L)
Ln N_dt (y)
Umur relatif (x)
Ln Nt = a - b.t Ln Nt = Ln N0 - Z.t1. Mid Length = pengukuran dalam total length (cm)2. N = Jumlah individu hasil tangkap pada klas mid
4. Lmak = 23,1 cm , TL
T = 280C
SPL rata-rata tahunan (T) = 28°C
Ln M = -0,0066 – 0,279 ln L∞ + 0,6543 ln K + 0,463 ln T
Natural Mortality (M): FISAT II, Pers. Pauly (1980) eq
Nt = N0.e-Z.t ditransformasi menjadi :
Ln Nt = Ln N0 – Z.t ……….. (7.9)
Grafik penurunan populasi adalah linier negatif:koefisien arah (b) = Z dan intersep (a) = Ln N0.Y = a +- b*X
t =Ln {1−(Lt / Lmak )}
−k+ t0
LENGTH-FREQUENCY DATA ANALISYS
SUMMARY OUTPUT
Regression StatisticsMultiple R 0.98295655
3. Umur relatif dihitung dengan menggunakan persamaan (7.16). R Square 0.9662035792Adjusted R Square 0.9594442951
k = 0,59 Standard Error 0.4384867973
Observations 724.3158
ANOVAdf
Regression 1Residual 5
Total 6
0.300656 Coefficients1.350745 Intercept 12.197899802
3.601761 X Variable 1 -3.601761257
2.2510160.624977 Status perikanan, karena nilai E 0.5 SUMMARY OUTPUT
2.2893980.550085 Regression Statistics
Multiple R 0.7146293814
E > 0,5, atau F > M, maka Status Perikanan Over Fishing R Square 0.5106951527
E = 0,5, atau F > M, maka Status Perikanan MSY Adjusted R Square 0.4699197488
E < 0,5, atau F < M, maka Status Perikanan Under Fishing Standard Error 0.9934607484
Observations 14
13.37575 ANOVA
df
Regression 1Residual 12Total 13
CoefficientsIntercept 3.1178843711X Variable 1 -0.233099716
Ln Nt = Ln N0 - Z.tMid Length = pengukuran dalam total length (cm)N = Jumlah individu hasil tangkap pada klas mid
Lmak = 23,1 cm , TL
T = 280C
SPL rata-rata tahunan (T) = 28°C
Ln M = -0,0066 – 0,279 ln L∞ + 0,6543 ln K + 0,463 ln T
Natural Mortality (M): FISAT II, Pers. Pauly (1980) eq
t =Ln {1−(Lt / Lmak )}
−k+ t0
SS MS F Significance F27.4840658541504 27.484065854 142.944660552 7.217233E-05
0.961353356886002 0.1922706714
28.4454192110364
Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0%Upper 95.0%0.685593200355024 17.791745594 1.029491E-05 10.435526374 13.960273229 10.43553 13.96027
0.301252703726969 -11.95594666 7.2172334E-05 -4.376155985 -2.827366529 -4.376156 -2.827367
SS MS F Significance F
12.3613211425475 12.361321143 12.5245884375 0.004078250311.8435711042474 0.986964258724.2048922467949
Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0%Upper 95.0%0.927983529006503 3.3598488267 0.00567577829 1.0959819524 5.1397867898 1.095982 5.139787
0.0658658062562832 -3.539009528 0.00407825031 -0.37660898 -0.089590452 -0.376609 -0.08959
t N0 198,372.001 146,957.592 108,868.863 80,652.044 59,748.505 44,262.786 32,790.677 24,291.938 17,995.909 13,331.69
10 9,876.3611 7,316.5912 5,420.2613 4,015.4314 2,974.7015 2,203.7116 1,632.5517 1,209.4218 895.9619 663.7520 491.7221 364.2722 269.8623 199.9224 148.1025 109.7226 81.2827 60.2128 44.6129 33.0530 24.48
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 310.00
50,000.00
100,000.00
150,000.00
200,000.00
250,000.00N (jum individu, #)
"n (jum individu
Nt= N0 ∗ Exp−Z∗t
a = Ln N0no anti Ln a
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 310.00
50,000.00
100,000.00
150,000.00
200,000.00
250,000.00N (jum individu, #)
"n (jum individu
t N0 15,000.001 11,112.272 8,232.173 6,098.544 4,517.915 3,346.956 2,479.487 1,836.858 1,360.779 1,008.08
10 746.8111 553.2512 409.8613 303.6314 224.9315 166.6316 123.4517 91.4518 67.7519 50.1920 37.1821 27.5422 20.4123 15.1224 11.2025 8.3026 6.1527 4.5528 3.3729 2.5030 1.85
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 310.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
Column B
Nt= N 0 ∗ Exp−Z∗t
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 310.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
Column B
