2. Standard growth formula in fish population dynamics
2-1. Traditional growth formulae
2-2. Standard formula of RGF in fish population dynamics
2-3. Seasonal growth formula
2-4. Standard formula for seasonal growth
2-5. Parameter estimation and statistical test of growth formulae
(Example 1) Fitting the growth formula to clam data.
(Example 2) Fitting VBGF1 for Pacific hake data.
2-6. The generalized reproduction model
2-7. Parameter estimation for reproduction model
2-8. Supplement
3. Analysis of the body-size composition
3-1. Statistical model
3-2. Hasselblad method
3-3. Undetermined multiplier method
3-4. EM algorithm
3-5. Convergence criterion by diminishing mapping
3-6. Approximation of the Jacobi method
3-7. Difference between the iteration method and the EM algorithm
(Example 3) Estimation of the age composition for the data of the porgy
3-8. Marquardt method
4. Estimation of the population size
4-1. Petersen method
(Example 4) Estimation of the 95% interval of N when M = 60, n = 141, and r = 11.
4-2. Bayesian statistical method for the Petersen method
4-3. Bayesian statistical method by using the hyper-geometric distribution
4-4. Quadrat method
4-5. Bayesian statistical method for the quadrat method
(Example 5) Estimation of the 95% interval of n when r = 5 and p = 0.1.
4-6. DeLury removal method
(Example 6) Analysis of the data in Table 5.
4-7. Proof of the sum formulae of the binomial distribution and the hyper-geometric distribution
5. Survival models
5-1. VPA
5-2. VPA using mortality rates
5-3. Leslie matrix model
5-4. Linear programming for fishing equations