THE MODES OF GENETIC STRUCTURE AND POPULATION SIZE DYNAMICS IN EVOLUTION MODEL OF TWO­AGED POPULATION


Cite this article as:

Zhdanova О. L., Bazhina . А. THE MODES OF GENETIC STRUCTURE AND POPULATION SIZE DYNAMICS IN EVOLUTION MODEL OF TWO­AGED POPULATION. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 1, pp. 40-54. DOI: https://doi.org/10.18500/0869-6632-2011-19-1-40-54


The modes of genetic structure and size dynamics of structured population are investigated in this work. The reproductive potential and survival rate of reproductive part of population in following years of life are determined on genetic level. It has been shown that evolutional increasing of average population fitness is followed by arising of complicated dynamics of population size and of genetic structure. Further growth of fitness is capable to stabilize the genetic structure of population and so only the population size will be fluctuating with regular or chaotic circling. The type of the final genetic equilibrium depends upon initial conditions in a very complicated way. Therefore the initial conditions play essential role for the direction of natural population evolution.

DOI: 
10.18500/0869-6632-2011-19-1-40-54
Literature

1. Шапиро А.П. К вопросу о циклах в возвратных последовательностях // Управление и информация. Владивосток: ДВНЦ АН СССР, 1972. Вып. 3. С. 96.

2. Шапиро А.П., Луппов С.П. Рекуррентные уравнения в теории популяционной биологии. М.: Наука, 1983. 132 с.

3. May R.M. Biological population obeying difference equations: stable points, stable cycles, and chaos // J. Theor. Biol. 1975. Vol. 51, No 2. P. 511.

4. Richer W.E. Stock and recruit //Theor. J. Fish. Res. Bard. Can. 1954. Vol. ll, No 5. P. 559.

5. Hassell M.P., Lawton J.N., May R.M. Patterns of dinamical behavior in single species populations // J. Anim. Ecol. 1976. Vol. 45, No 2. P. 471.

6. Ruxton G.D., Gurney W.S. C., de Roos A.M. Interference and generation cycles // Theor. Popul. Biol. 1992. Vol. 42, No 3. P. 235.

7. Getz W.M. Correlative coherence analysis: variation from intrinsic and extrinsic sources in competing populations // Theor. Popul. Biol. 2003. Vol. 64, No 1. P. 89.

8. Lebreton J.D. Dynamical and statistical models of vertebrate population dynamics// C.R. Acad. Sci. Biologies. 2006. Vol. 329, No 10. P. 804.

9. Reluga T.C. Analysis of periodic growth-disturbance models // Theor. Popul. Biol. 2004. Vol. 66, No 2. P. 151.

10. Фрисман Е.Я. Странные аттракторы в простейших моделях динамики численности популяций с возрастной структурой // Доклады РАН. 1994. Т. 338, No 2. С. 282.

11. Фрисман Е.Я., Скалецкая Е.И. Странные аттракторы в простейших моделях динамики численности биологических популяций // Обозрение прикладной и промышленной математики. М.: Научное изд-во «ТВП». 1994. Т. 1, вып. 6. С. 988.

12. Фрисман Е.Я., Жданова О.Л. Эволюционный переход к сложным режимам динамики численности двухвозрастной популяции // Генетика. 2009. Т. 45, No 9. С. 1277.

13. Бадьева Е. Согласованное изменение признаков организма // Популярные синопсисы. 2010. http://elementy.ru/genbio/synopsis?artid=290

14. Пасеков В.П. Популяционная изменчивость и биометрические модели координации признаков организма // Журнал общей биологии. 2010. Т. 71, No 1. С. 7.

15. Неймарк Ю.И., Ланда П.С. Стохастические и хаотические колебания. М.: Наука. 1987. 424 с.

16. Farmer J.D., Ott E., Yorke J.A. The dimension of chaotic attractors // Physica 7D. North-Holland Publishing Company. 1983. P. 153.

17. Жданова О.Л., Фрисман Е.Я. Динамические режимы в модели однолокусного плотностно-зависимого отбора // Генетика. 2005. Т. 41, No 11. С. 1575.

18. Фрисман Е.Я., Жданова О.Л. Режимы динамики генетической структуры и численности в моделях эволюции локальной лимитированной популяции // Известия вузов. Прикладная нелинейная динамика. 2006. Т. 14, No 1. С. 99.

Status: 
одобрено к публикации
Short Text (PDF): 
Full Text (PDF): 

BibTeX

@article{Жданова-IzvVUZ_AND-19-1-40,
author = {О. L. Zhdanova and D. А. Bazhina},
title = {THE MODES OF GENETIC STRUCTURE AND POPULATION SIZE DYNAMICS IN EVOLUTION MODEL OF TWO­AGED POPULATION},
year = {2011},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {19},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/the-modes-of-genetic-structure-and-population-size-dynamics-in-evolution-model-of-twoaged},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2011-19-1-40-54},pages = {40--54},issn = {0869-6632},
keywords = {equilibrium,stability,Attractor,population size,age structure,evolution.},
abstract = { The modes of genetic structure and size dynamics of structured population are investigated in this work. The reproductive potential and survival rate of reproductive part of population in following years of life are determined on genetic level. It has been shown that evolutional increasing of average population fitness is followed by arising of complicated dynamics of population size and of genetic structure. Further growth of fitness is capable to stabilize the genetic structure of population and so only the population size will be fluctuating with regular or chaotic circling. The type of the final genetic equilibrium depends upon initial conditions in a very complicated way. Therefore the initial conditions play essential role for the direction of natural population evolution. }}