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10 - Spirals and Spots: Novel Evolutionary Phenomena through Spatial Self-structuring

Published online by Cambridge University Press:  14 January 2010

Ulf Dieckmann
Affiliation:
International Institute for Applied Systems Analysis, Austria
Richard Law
Affiliation:
University of York
Johan A. J. Metz
Affiliation:
Rijksuniversiteit Leiden, The Netherlands
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Summary

Introduction

The concept of a hypercycle was introduced in the early 1970s (Eigen 1971) as a model for cyclic helping of self-replicating entities. Figure 10. 1a shows a schematic diagram of a hypercycle: each member of the cycle replicates itself and supports the replication of the next member. Eigen and Schuster (1979, 1982; Eigen 1992) suggested a role for hypercycles of ribonucleic acid molecules in prebiotic evolution. They showed that in prebiotic evolution there exists a so-called information threshold: the length of molecules is restricted by the accuracy of replication. In a hypercycle, each separate molecule species is constrained by the maximum string length, but the species can combine their information and thus cross the information threshold.

An important objection to the hypercycle theory has been raised by Maynard Smith (1979; see also Bresch et al. 1980): because there is no selection for the giving of catalytic support to the replication of another molecule, this property cannot be maintained. Giving catalytic support is an “altruistic” property; that is, it does not increase the number of copies of the molecule itself, but increases those of another, competing species.

As a result, a hypercycle is vulnerable to invasion by so-called parasites. Figure 10.1b shows a hypercycle with a parasite. The parasite is capable of self-replication on its own; in addition, it receives catalytic support from species 1 but does not give catalytic support to any other molecule.

Type
Chapter
Information
The Geometry of Ecological Interactions
Simplifying Spatial Complexity
, pp. 171 - 182
Publisher: Cambridge University Press
Print publication year: 2000

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