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신상택 한국수산학회 1977 한국수산과학회지 Vol.10 No.2
完全狀態에 있는 資源에 있어서 減少係數를 Z, 完全加入年令을 a라 할 때 x歲 年級群의 尾數는 Nx=N_a esp(-z(x-a)}이므로 體長組成과 成長曲線式에서 減少 係數 z 및 生殘率 e^(-z)를 推定하는 方法을 硏究한 結果를 要約하면 다음과 같다. 1. 最高年令을 b라 하고, a, b, z와 平均年令 Ux과의 關係는 Ux= a-b exp {-z(b-1)}/1-exp{-z(b-a)}+1/z z= 1/(Ux-a) 이다. 2. 成長式을 使用하여 體長組成表의 各 體長階級値에 해당하는 年令을 推定하고 全階級에 걸친 平均年令을 計算하였다. 3. Ux값을 Ux, a, b, c, x의 關係式에 代入하여 減少係數 z값을 求에고 이 z값을 使用하여 生殘率 e^(-z)값을 求하였다. 4. 黃海 및 東支那産 참조기의 減少係數, 生殘率 및 生殘率의 95% 信賴區間을 計算한 結果는 0.82595, 0.43782, 0.43767∼0.43797이였다. 5. 같은 統計資料를 써서 다른 方法으로 計算한 生殘率 0.46089과의 相對誤差는 約0.05이였다. A study has been made to find out a new method of calculating the survival rate of a fish population from length composition and growth equation. 1. In the steady state of the fish population, let the total mortality rate be z, the age of complete recruitment a, and the number of x year class N_x. Then we obtain Nx=Na exp {-z(x-a)} Let the oldest age in the catch be b, the average age between the age of complete recruitment and the oldest age in the catch U_x. Then we have Ux= a-b exp {-z(b-1)}/1-exp{-z(b-a)}+1/z…(1) and then let b be infinite. Then we obtain z= 1/(Ux-a)…(2) 2. Calculating numerical value of Ux from age composition table and growth equation and substitute in (1) or (2) for it, we may obtain the value of z and e^(-z). 3. This method is applied to a case of yellow croaker in the Yellow Sea and the East China Sea. The results are as follows: Total mortality rate 0.82595 Survival rate 0.43782 95 percent confidence interval 0.43767-0.43797
韓國沿近海에 있어서 旋網漁業 對象 고등어, 전갱이의 資源量解析
辛翔澤 釜山水産大學校 1973 釜山水産大學 硏究報告 Vol.13 No.1
Mackerel Pneumatophorus japonicus and horse mackerel Trachurus japonicus in the neighboring waters of Korea are caught by purse-seiner throughout the year. Monthly indices of population size are calculated. Mathematic model (5) were used in order to determine catchability coefficient, natural, mortality, fishing mortality, recruiting coefficient of the fishing ground, and dispersion coeffecient from the fishing ground. The results are summarized as follows: 1. Mackerel Catchability coefficient (C)=2.48557 X ?? Natural mortality (M) = 1.42425 Population for the first half season (June 1st to the following January 31st) Initial population = 48,794.4 M/T Recruitment =172,806.6 M/T Natural mortality = 96,995.2 M/T Final population = 91,936.0 M/T Population for the latter half season (February 1st to May 31st) Initial population = 91,237.1 M/T Dispersion = 25,359.3 M/T Natural mortality = 49,151.5 M/T Final population = 8,234.3 M/T 2. Horse mackerel Catchability coefficient (C) = ?? Natural mortality (M) = 1.20582 Population for the first half season (June 1st to the following January 31st) Initial population = 5,138.0 M/T Recruitment =16,783.5 M/T Natural mortality = 8,744.1 M/T Final population = 9,878.0 M/T Population for the latter half season (February 1st to May 31st) Initial population = 2,812.5 M/T Dispersion = 1,079.4 M/T Natural mortality = 1,254.1 M/T Final population = 236.2 M/T
最小自乘法에 의해서 實驗式 y=??를 求하는 方法에 關한 小考
辛翔澤 釜山水産大學校 1969 釜山水産大學 硏究報告 Vol.9 No.2
There are various normal equations for applying the empirical formula of y=?? usig the least square method. Therefore, this paper is an attempt to determine the best result as described in (4) and (5). Accordingly this paper defines method (a) as the best method to follow.
辛翔澤 釜山水産大學校 1971 釜山水産大學 硏究報告 Vol.11 No.2
A method of estimating fish population is proposed by applying Schnabel's marking method. As a method of fish stock assessment for a certain school of fish in the fishing season, the population of commercial-sized fish to be captured would be estimated after the marking method. The advantage of the method is that the fish population of the same age is assessed without difficulties of tagging and discharging in alive, while the disadvantage of which is that confidence of assessed values of the fish population at the beginning of the fishing season are less definite.
辛翔澤 釜山水産大學校 1970 釜山水産大學 硏究報告 Vol.10 No.2
The formula indicated as (1) derived from the least square method has been applied in the propagation or errors, and this also effects to the propagation of the errors by initial data only. In the process of mass reckoning the propagation of errors as classified in (C) and (D) of the pragraph Ⅱ reduced not to be neglected. Therefore, the author carried out a study with respect to the propagation of the (D) reducted from solving the simultaneous linear equations by the method of elimination, and derived a expression (3). It was found that the calculated errors by the above expression almost coincide with the given definite errors in examples of (2) and (3).