Generalized modified Levakovic growth function for aquatic species

Deniz Ünal

Abstract

Growth is a concept that includes social, economic and physical sub-processes and it also shows itself in the field of fisheries. It is extremely important to obtain the appropriate mathematical model for growth for aquatic species. The growth modelling for the aquatic species contains the phenomena of bio-diversity, formation and population dynamics of aquatic species or stock estimation for the creature. And this study aims to design and implement a new mathematical model for growth process for aquatic species as Generalized Modified Levakovic Growth (GLM) model.

Keywords

Aquatic Species, Curve fitting, Growth function, Fisheries, Lag time.

Full Text:

PDF

References

Birch C.P. (1999). A new generalized logistic sigmoid growth equation compared with the Richards growth equation. Annals of Botany, 83(6): 713-723.

Bontemps J.D., Duplat P. (2012). A non-asymptotic sigmoid growth curve for top height growth in forest stands. Forestry: An International Journal of Forest Research, 85(3): 353-368.

Fingleton B., López‐Bazo E. (2006). Empirical growth models with spatial effects. Papers in Regional Science, 85(2): 177-198.

Fisher T.C., Fry R.H. (1971). Tech. Forecasting Soc. Changes, 3: 75.

Lee A. (2000). The predictive ability of seven sigmoid curves used in modelling forestry growth: a thesis submitted to the Institute of Information Sciences and Technology in partial fulfilment of the requirements for the degree of Master of Applied Statistics at Massey University, February, 2000 (Doctoral dissertation, Massey University).

Levakovic A. (1935) Analytical form of growth laws. Glasnik za Sumske Pokuse (Zagreb), 4: 189-282.

Lifeng X., Minggao S., Yuanjun W. (1998). Richards growth model of living-organism. Journal of Biomathematics, 13(3): 348-353.

Richards F.J. (1959). A flexible growth function for empirical use. Journal of experimental Botany, 10(2): 290-301.

Von Bertalanffy L. (1938). A quantitative theory of organic growth (inquiries on growth laws. II). Human Biology, 10(2): 181-213.

Woollons R.C., Whyte A.G.D., Xu L. (1990). The Hossfeld function: An alternative model for depicting stand growth and yield. Journal of the Japanese Forest, 15: 25-35.

Zeide B. (1993). Analysis of growth equations. Forest Science, 39(3): 594-616.

Refbacks

  • There are currently no refbacks.