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The robustness of self-organized criticality against extinctions in a tree-like model of evolution
Vandewalle, Nicolas; Ausloos, Marcel
1995In Europhysics Letters, 32 (7), p. 613-618
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Abstract :
[en] We investigate a so-called punctuated-equilibrium model of tree-like evolution containing extinctions for the weakest species with respect to a strength parameter r. Without extinctions (for r = 0), the model leads to self-organized criticality. For r not equal 0, a transition from growing trees to finite ones takes place at some critical r(c) = 0.48 +/- 0.01 value. For 0 less than or equal to r less than or similar to r(c), self-organized criticality is thus robust against extinctions of the weakest species. The size distribution of avalanches follows a power law behaviour with an exponent 3/2 which seems to be independent of the parameter r. The growing trees are found to be self-similar with a non-universal fractal dimension D-f non-trivially ranging from 2 to 1 depending on the parameter r. This constraint model opens up the field of description of various possible physical events for such an evolution model.
Disciplines :
Physics
Author, co-author :
Vandewalle, Nicolas  ;  Université de Liège - ULiège > Département de physique > Physique statistique
Ausloos, Marcel ;  Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Language :
English
Title :
The robustness of self-organized criticality against extinctions in a tree-like model of evolution
Publication date :
01 December 1995
Journal title :
Europhysics Letters
ISSN :
0295-5075
eISSN :
1286-4854
Publisher :
EDP Sciences, Les Ulis, France
Volume :
32
Issue :
7
Pages :
613-618
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 07 August 2009

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