**Tatsuro AKAMINE**

Akamine T. (1981)

A handy method for selecting and counting bivalve larvae at planktonic stage. *Bull. Japan Sea Natl. Fish. Res. Inst.* **32**: 77-81 (in Japanese).

Akamine T. (1982)

On statistical method in order to classify the distributions of species and species compositions of stations on benthic organisms. *Bull. Japan Sea Natl. Fish. Res. Inst.* **33**: 117-140 (in Japanese).

Akamine T. (1982)

A method for estimating salmon returning rate when the age compositions of returned groups are unknown. *Bull. Japan Sea Natl. Fish. Res. Inst.* **33**: 141-145 (in Japanese).

Akamine T. (1982)

A BASIC program to analyse the polymodal frequency distribution into normal distributions. *Bull. Japan Sea Natl. Fish. Res. Inst.* **33**: 163-166 (in Japanese).

Akamine T. (1984)

The BASIC program to analyse the polymodal frequency distribution into normal distributions with Marqualdt's method. *Bull. Japan Sea Natl. Fish. Res. Inst.* **34**: 53-60 (in Japanese).

Akamine T. (1985)

Consideration of the BASIC programs to analyse the polymodal frequency distribution into normal distributions. *Bull. Japan Sea Natl. Fish. Res. Inst.* **35**: 129-159 (in Japanese).

Akamine T. (1986)

Expansion of growth curves using a periodic function and BASIC programs by Marquardt's method. *Bull. Japan Sea Natl. Fish. Res. Inst.* **36**: 77-107.

Akamine T. (1987)

A solution of the multi-cohort model by Marquardt's method. *Bull. Japan Sea Natl. Fish. Res. Inst.* **37**: 225-257.

Akamine T. (1987)

Comparison of algorithms of several methods for estimating parameters of a mixture of normal distributions. *Bull. Japan Sea Natl. Fish. Res. Inst.* **37**: 259-277.

Akamine T. (1988)

Evaluation of error caused by histogram on estimation of parameters for a mixture of normal distributions. *Bull. Japan Sea Natl. Fish. Res. Inst.* **38**: 171-185.

Akamine T. (1988)

Estimation of parameters for Richards model. *Bull. Japan Sea Natl. Fish. Res. Inst.* **38**: 187-200.

Akamine T. (1989)

An interval estimation for extraction using Bayesian statistics. *Bull. Japan Sea Natl. Fish. Res. Inst.* **39**: 9-17.

Akamine T. (1989)

An interval estimation for the Petersen method using Bayesian statistics. *Bull. Japan Sea Natl. Fish. Res. Inst.* **39**: 19-35.

Akamine T. (1990)

An interval estimation of Leslie's method in removal methods. *Bull. Japan Sea Natl. Fish. Res. Inst.* **40**: 27-49.

Akamine T, Nakanishi T, Umezawa S, Kuribara H. (1991)

Growth of a sandy beach clam, *Gomphina melanaegis*, in Igarashi, Niigata. *Bull. Japan Sea Natl. Fish. Res. Inst.* **41**: 27-41 (in Japanese).

Akamine T, Matsumiya Y. (1992)

Mathematical analysis of age-length key method for estimating age composition from length composition. *Bull. Japan Sea Natl. Fish. Res. Inst.* **2**: 17-24.

Akamine T, Kishino H, Hiramatsu K. (1992)

Non-biased interval estimation of Leslie's removal method. *Bull. Japan Sea Natl. Fish. Res. Inst.* **42**: 25-39.

Akamine T. (1993)

A new standard formula for seasonal growth of fish in population dynamics. *Nippon Suisan Gakkaishi* **59**: 1857-1863.

Akamine T. (1994)

Definition of the exponential function and its application for population dynamics. *Bull. Jpn. Soc. Fish. Oceanogr.* **58**: 317-320 (in Japanese).

Akamine T. (1995)

Mathematical approach to virtual population analysis. *Fish. Sci.* **61**: 167.

Akamine T. (1995)

Relationship between Leslie matrix and cohort analysis. *Fish. Sci.* **61**: 722.

Akamine T. (1995)

A mathematical study of fish growth formula in population dynamics. *Bull. Natl. Res. Inst. Fish. Sci.* **7**: 189-263 (in Japanese).

Akamine T. (1995)

Introduction to cohort analysis (VPA). *Bull. Jpn. Soc. Fish. Oceanogr.* **59**: 424-437 (in Japanese).

Akamine T. (1996)

Discrete fishing equations and linear programming. *Bull. Jpn. Soc. Fish. Oceanogr.* **60**: 252-258 (in Japanese).

Akamine T. (1997)

Optimum control theory for the dynamic pool model. *Bull. Natl. Res. Inst. Fish. Sci.* **10**: 135-167 (in Japanese).

Akamine T. (1998)

Convergence of Hasselblad method for estimating proportions of a mixture of probability distributions. *Fish. Sci.* **64**: 997-998.

Akamine T. (1999)

Convergence of Hasselblad method for estimating parameters of a mixture of normal distributions. *Bull. Natl. Res. Inst. Fish. Sci.* **14**: 49-58 (in Japanese).

Akamine T. (2001)

Mathematical study for approximations and iterations of the virtual population analysis. *Bull. Natl. Res. Inst. Fish. Sci.* **16**: 1-16 (in Japanese).

Akamine T. (2002)

Comparison between conventional and Bayesian statistics in interval estimation for quadrat method and Petersen method. *Bull. Fish. Res. Agen.* **2**: 25-34 (in Japanese).

Akamine T. (2004)

Statistical test and model selection of fish growth formula. *Bull. Jpn. Soc. Fish. Oceanogr.* **68**: 44-51 (in Japanese).

Akamine T. (2005)

Mixture of normal distributions and EM algorithm. *Bull. Jpn. Soc. Fish. Oceanogr.* **69**: 174-183 (in Japanese).

Akamine T. (2007)*Suisan sigen kaiseki no kiso*. Kouseisha-kouseikaku, Tokyo. 115pp.

Akamine T. (2009)

Non-linear and graphical methods for fish stock analysis with statistical modeling. *Aqua-BioSci. Monogr*., **2**(3), 1-45

Akamine T. (2010)*Suisan sigen no data kaiseki nyuumon. Kouseisha-kouseikaku, Tokyo*. 178pp.

Akamine T. (2010)

Mathematical study of matrix models for fish population dynamics in random environments. *Bull. Jpn. Soc. Fish. Oceanogr*. **74**: 208-213 (in Japanese).

Akamine T. (2011)

Proof of a theorem for the growth rate in matrix models of fish population dynamics. *Bull. Jpn. Soc. Fish. Oceanogr*. **75**: 29-31 (in Japanese).