Szczegóły publikacji
Opis bibliograficzny
Divergent evolution paths of different genetic families in the Penna model / Mikołaj SITARZ, Andrzej MAKSYMOWICZ // International Journal of Modern Physics. C ; ISSN 0129-1831. — 2005 — vol. 16 no. 12, s. 1917–1925. — Bibliogr. s. 1924–1925
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 27910 |
|---|---|
| Data dodania do BaDAP | 2006-06-20 |
| DOI | 10.1142/S0129183105008436 |
| Rok publikacji | 2005 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | International Journal of Modern Physics, C |
Abstract
We present some simulations results of population growth and evolution, using the standard asexual Penna model, with individuals characterized by a string of bits representing a genome containing some possible mutations. After about 20 000 simulation steps, when only a few genetic families are still present from among rich variety of families at the beginning of the simulation game, strong peaks in mutation distribution functions are observed. This known effect is due to evolution rules with hereditary mechanism. The birth and death balance in the simulation game also leads to elimination of families specified by different genomes. The number of families G(t) versus time t follow the power law, G proportional to t(n). Our results show the power coefficient exponent n is changing with time. Starting from about -1, smoothly achieves about -2 after hundreds of steps, and finally has semi-smooth transition to 0, when only one family exists in the environment. This is in contrast with constant it about -1 as found, for example, in Ref. 1. We suspect that this discrepancy may be due to two different time scales in simulations - initial stages follow the n approximate to -1 law, yet for large number of simulation steps we get n approximate to -2, provided the random initial population, was sufficiently big to allow for still reliable statistical analysis. The n approximate to -1 evolution stage seems to be associated with the Verhulst mechanism of population elimination due to the limited environmental capacity - when the standard evolution rules were modified, we observed a plateau (n = 0) in the power law in short time scale, again followed by n approximate to -2 law for longer times. The modified model uses birth rate controlled by the current population instead of the standard Verhulst death factor.
