- Tytuł:
- Time to the convergence of evolution in the space of population states
- Autorzy:
- Karcz-Dulęba, I.
- Powiązania:
- https://bibliotekanauki.pl/articles/907643.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
ewolucja fenotypowa
układ dynamiczny
punkt stały
phenotypic evolution
dynamical system
time to convergence
fixed points - Opis:
- Phenotypic evolution of two-element populations with proportional selection and normally distributed mutation is considered. Trajectories of the expected location of the population in the space of population states are investigated. The expected location of the population generates a discrete dynamical system. The study of its fixed points, their stability and time to convergence is presented. Fixed points are located in the vicinity of optima and saddles. For large values of the standard deviation of mutation, fixed points become unstable and periodical orbits arise. In this case, fixed points are also moved away from optima. The time to convergence to fixed points depends not only on the mutation rate, but also on the distance of the points from unstability. Results show that a population spends most time wandering slowly towards the optimum with mutation as the main evolution factor.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2004, 14, 3; 279-287
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł