Darwin's Continent Cycle Theory and Its Simulation by the Prisoner's Dilemma

Theoretical biology has largely ignored Darwin 's true evolution model. In his famous book about the origin of species, Darwin detailed the importance of a population structure on evolution. He conjectured that a large continent that exists for long periods in a broken condition will be the most favorable for the production of many new forms of life. We call this conject ure Darwin 's continent cycle theory. In this paper we investigate some of Darwin 's arguments in support of his theory by simulat ing an art ificial ecology with the parallel genetic algorithm. The art ificial ecology consists of a populat ion playing the Iterated Prisoner's Dilemma. Th e major emphasis of this paper is on the methodological questions of the simulation. These are the genet ic representation, the mapping of the genotypes to phenotypes, and the spatial population st ructure.

[1]  R. A. Fisher,et al.  The Genetical Theory of Natural Selection , 1931 .

[2]  J. Felsenstein A Pain in the Torus: Some Difficulties with Models of Isolation by Distance , 1975, The American Naturalist.

[3]  Schloss Birlinghoven Evolution in Time and Space -the Parallel Genetic Algorithm , 1991 .

[4]  D Amadon,et al.  Population Biology. , 1962, Science.

[5]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[6]  John von Neumann,et al.  Theory Of Self Reproducing Automata , 1967 .

[7]  Heinz Mühlenbein,et al.  Evolution algorithms in combinatorial optimization , 1988, Parallel Comput..

[8]  J. Felsenstein The theoretical population genetics of variable selection and migration. , 1976, Annual review of genetics.

[9]  A. Gray,et al.  I. THE ORIGIN OF SPECIES BY MEANS OF NATURAL SELECTION , 1963 .

[10]  Heinz Mühlenbein,et al.  The parallel genetic algorithm as function optimizer , 1991, Parallel Comput..

[11]  Robert E. Marks,et al.  Breeding hybrid strategies: optimal behaviour for oligopolists , 1989, ICGA.

[12]  W. Hamilton,et al.  The evolution of cooperation. , 1984, Science.

[13]  Sewall Wright,et al.  Factor interaction and linkage in evolution , 1965, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[14]  C Denniston,et al.  PHASE THREE OF WRIGHT'S SHIFTING‐BALANCE THEORY , 1990, Evolution; international journal of organic evolution.

[15]  J M Smith,et al.  Evolution and the theory of games , 1976 .