BIRTH RATE FORECAST WHEN MODELING THE POPULATION GROWTH

Main Article Content

Дмитрий/Dmitry Александрович/Aleksandrovich Кирьянов/Kiryanov

Abstract

The paper presents an analytical review of the mathematical models used for the population forecast considering the current understanding of demographic processes in the global world. It is shown that in the context of the global demographic transition and the population hyperbolic growth there is a trend towards lower birth rate and population stabilization. The case study in Perm region describes the population structure statistical data analysis for the period of 2010-2014 and demonstrates the decreasing interaction of fertile women population and the birth rate if to compare with other age groups.

Article Details

How to Cite
Кирьянов/Kiryanov Д. А. (2018). BIRTH RATE FORECAST WHEN MODELING THE POPULATION GROWTH. Bulletin of Perm University. Biology, (3), 268–276. Retrieved from https://press.psu.ru/index.php/bio/article/view/1819
Section
Ecology
Author Biography

Дмитрий/Dmitry Александрович/Aleksandrovich Кирьянов/Kiryanov, FBSI "Federal Scientific Center for Medical and Preventive Health Risk Management Technologies"; Perm State University

PhD in Technical Sciences, head of the department of mathematical modeling of systems and processes;Associate professor of the Department of human ecology and life safety

References

Вольтерра В. Математическая теория борьбы за существование / под ред. Ю. М. Свирежева. М.: Наука, 1976. 287 с.

Гиндшис Л.М. Рост народонаселения в модели с реинкарнацией// Дельфис. 2001. № 26. С. 55-61.

Капица СЛ. Математическая модель роста населения мира // Математическое моделирование. 1992. Т. 4, № 6. С. 65-79.

Капица СЛ. Сколько людей жило, живет и будет жить на земле. М.: Наука, 1999. 117 с.

Коротаев A.B., Малков A.C., Халтурина ДА. Математическая модель роста населения Земли, экономики, технологии и образования. М., 2005. 41с.

Подлазов A.B. Основные уравнения теоретической демографии и модель глобального демографического перехода: препринт / Институт прикладной математики им. М.В.Келдыша РАН. М., 2001. № 88. 16 с.

Ризниченко Г.Ю. Лекции по математическим моделям в биологии. Ижевск, 2002. Ч. 1. 232 с.

Foerster, Von H., Mora P., and Amiot L. Doomsday: Friday, 13 November, A.D. 2026 // Science. 1960. Vol. 132. P. 1291-1295.

Kremer, M. Population Growth and Technological Change: One Million B.C. to 1990 // The Quarterly Journal of Economics. 1993. Vol. 108. P. 681-716.

Malthus, T. Population: The First Essay. Ann Arbor, MI: University of Michigan Press, 1798. Verhulst P.F. Notice sur la loi que la population suit dans son accroissement // Corr. Math. Et Phys. 1838. Vol. 10. P. 113-121.

References

Volterra V. Matematiceskaja teorija bor 'by za suscest-vovanie [The mathematical theory of the straggle for existence]. Moscow, Nauka Publ., 1976. 287 p. (In Russ.)

Gindilis L.M. [Population growth in the model with the reincarnation], Delphis. 2001, N 26, pp. 55-61. (In Russ.)

Kapitsa S.P. [A mathematical model of the world's population growth], Matematiceskoe modelirovanie, 1992, V. 4, N 6, pp. 65-79. (In Russ.)

Kapitsa S.P. Skol'ko ljudej zilo, zivet i budet zit' na zemle [How many people lived, live and will live on Earth], Moscow, Nauka Publ., 1999. 117 p. (In Russ.)

Korotaev A.V., Malkov A.S., Halturina D.A. Matematiceskaja model' rosta naselenija Zemli, Skonomiki, technologii i obrazovanija [A mathematical model of the Earth's population growth, the economy, technology and education], Moscow, 2005. 41 p. (In Russ.)

Podlazov A.V. Osnovnye uravnenija teoreticeskoj de-mografii i model' global'nogo demograficeskogo perechoda [The basic equations of the theoretical model of global demographics and the demographic transition], Moscow, 2001. 16 p. (Preprint / Keldysh Institute of Applied Mathematics; № 88.). 16 p. (In Russ.)

Riznichenko G. Y. Lekcii po matematiceskim modeljam v biologii [Lectures on mathematical models in biology], Izhevsk, 2002, Part 1. 232 p. (In Russ.)

Foerster, H. Von, Mora P., and Amiot L. Doomsday: Friday, 13 November, A.D. 2026. Science. 1960, V. 132, pp. 1291-1295.

Kremer, M. Population Growth and Technological Change: One Million B.C. to 1990. The Quarterly Journal of Economics. 1993, V. 108, pp. 681-716.

Malthus, T. Population: The First Essay. Ann Arbor. MI, University of Michigan Press, 1798.

Verhulst, P.F. Notice sur la loi que la population suit dans son accroissement. Corr. Math. Et Phys. 1838, V. 10, pp. 113-121,

Most read articles by the same author(s)