Time to the convergence of evolution in the space of population states

• Autorzy: Iwona Karcz-Dulęba
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

dynamical system; fixed points; time to convergence; phenotypic evolution

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 3
• Strony: 279-287

Daty

wydano

2004

otrzymano

2004-03-01

poprawiono

2004-06-01

Twórcy

autor

Iwona Karcz-Dulęba

• Institute of Engineering Cybernetics, Wrocław University of Technology, ul. Janiszewskiego 1117, 50-362 Wrocław, Poland

Bibliografia

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• Karcz-Dulęba I. (2000): Dynamics of evolution of population of two in the space of population states. The case of symmetrical fitness functions. -Proc. 4th Nat. Conf. Evol. Algorithms and Global Optimization, Lądek Zdrój, Poland, pp. 115-122 (in Polish).
• Karcz-Dulęba I. (2002): Evolution of two-element population in the space of population states: Equilibrium states for asymmetrical fitness functions, In: Evolutionary Algorithms and Global Optimization (J. Arabas, Ed.). -Warsaw: Warsaw University of Technology Press, pp. 35-46.
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