[en] Numerical and theoretical investigations of species evolution in presence of extinction rules are recalled in the framework of punctuated equilibrium evolution models. Previous results, on the Bak-Sneppen model are mentioned together with extensions taking into account a variable number of species. Conditions for limited growth due to species interactions, external fields, or intrinsic population density conditions have already been considered. An original genocide model is presented as a step towards describing effects due to the extinction of species. Critical exponents for (i) the avalanche distribution. (ii) the teady-state approach, and (iii) the tree size are given. A mean-field approximation is shown to be quite accurate for describing the critical state. The screening of species from the evolution process is not numerically studied.
Disciplines :
Physics
Author, co-author :
Ausloos, Marcel ; Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Kramer, M.
Vandewalle, Nicolas ; Université de Liège - ULiège > Département de physique > Physique statistique
Language :
English
Title :
Evolution on trees: a brief review about the extinctions of species, and the case of genocide in a Darwinistic punctuated equilibrium evolution model
Publication date :
01 November 1999
Journal title :
Physica A. Statistical Mechanics and its Applications