SIMPLE-MODEL OF SELF-ORGANIZED BIOLOGICAL EVOLUTION

被引:107
作者
DEBOER, J
DERRIDA, B
FLYVBJERG, H
JACKSON, AD
WETTIG, T
机构
[1] ISAAC NEWTON INST MATH SCI,CAMBRIDGE CB4 0EH,ENGLAND
[2] ECOLE NORMALE SUPER,PHYS STAT LAB,F-75231 PARIS 05,FRANCE
[3] CENS,SERV PHYS THEOR,F-91191 GIF SUR YVETTE,FRANCE
[4] NIELS BOHR INST,CONNECT,DK-2100 COPENHAGEN,DENMARK
关键词
D O I
10.1103/PhysRevLett.73.906
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give an exact solution of a recently proposed self-organized critical model of biological evolution. We show that the model has a power law distribution of durations of coevolutionary ''avalanches'' with a mean field exponent 3/2. We also calculate analytically the finite size effects which cut off this power law at times of the order of the system size.
引用
收藏
页码:906 / 909
页数:4
相关论文
共 14 条
[1]  
[Anonymous], 1970, HDB MATH FNCTIONS
[2]   PUNCTUATED EQUILIBRIUM AND CRITICALITY IN A SIMPLE-MODEL OF EVOLUTION [J].
BAK, P ;
SNEPPEN, K .
PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4083-4086
[3]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[4]   COEVOLUTION IN A RUGGED FITNESS LANDSCAPE [J].
BAK, P ;
FLYVBJERG, H ;
LAUTRUP, B .
PHYSICAL REVIEW A, 1992, 46 (10) :6724-6730
[5]   EVOLUTION OF OVERLAPS BETWEEN CONFIGURATIONS IN RANDOM BOOLEAN NETWORKS [J].
DERRIDA, B ;
WEISBUCH, G .
JOURNAL DE PHYSIQUE, 1986, 47 (08) :1297-1303
[6]   PUNCTUATED EQUILIBRIUM PREVAILS [J].
ELDREDGE, N ;
GOULD, SJ .
NATURE, 1988, 332 (6161) :211-212
[7]   MEAN-FIELD THEORY FOR A SIMPLE-MODEL OF EVOLUTION [J].
FLYVBJERG, H ;
SNEPPEN, K ;
BAK, P .
PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4087-4090
[8]   EVOLUTION IN A RUGGED FITNESS LANDSCAPE [J].
FLYVBJERG, H ;
LAUTRUP, B .
PHYSICAL REVIEW A, 1992, 46 (10) :6714-6723
[9]  
GOULD S J, 1977, Paleobiology, V3, P115
[10]  
Kauffman SA, 1993, ORIGINS ORDER