Evolutionary stability of ecological hierarchy

被引:19
作者
Cheon, T [1 ]
机构
[1] Kochi Univ Technol, Phys Lab, Kochi 7828502, Japan
关键词
D O I
10.1103/PhysRevLett.90.258105
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A self-similar hierarchical solution that is both dynamically and evolutionarily stable is found for the multidimensional Lotka-Volterra equation with a single chain of prey-predator relations. This gives a simple and natural explanation to the key features of hierarchical ecosystems, such as its ubiquity, pyramidal population distribution, and higher aggressiveness among higher trophic levels.
引用
收藏
页数:4
相关论文
共 8 条
[1]  
Axelrod R., 1997, COMPLEXITY COOPERATI
[2]  
Chauvet E., 2002, MATH MAG, V75, P243, DOI DOI 10.1080/0025570X.2002.11953139
[3]   Coevolution in host-parasite systems: behavioural strategies of slave-making ants and their hosts [J].
Foitzik, S ;
DeHeer, CJ ;
Hunjan, DN ;
Herbers, JM .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2001, 268 (1472) :1139-1146
[4]  
Hofbauer J., 1988, THEORY EVOLUTION DYN
[5]   Shape of ecological networks [J].
Lässig, M ;
Bastolla, U ;
Manrubia, SC ;
Valleriani, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (19) :4418-4421
[6]   SIMPLE MATHEMATICAL-MODELS WITH VERY COMPLICATED DYNAMICS [J].
MAY, RM .
NATURE, 1976, 261 (5560) :459-467
[7]  
Maynard Smith J., 1982, pi
[8]  
QUINCE C, 2001, NLINAO0105057