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A model for the emergence of cooperation, interdependence and structure in evolving networks | | Sanjay Jain
; Sandeep Krishna
; | | Date: |
19 May 2000 | | Subject: | Adaptation and Self-Organizing Systems | nlin.AO cond-mat | | Affiliation: | 1,2) and Sandeep Krishna ( Indian Institute of Science, Santa Fe Institute | | Abstract: | Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of cooperative molecular species arises and evolves to become more complex and structured. The network is modeled by a directed weighted graph whose positive and negative links represent `catalytic’ and `inhibitory’ interactions among the molecular species, and which evolves as the least populated species (typically those that go extinct) are replaced by new ones. A small autocatalytic set (ACS), appearing by chance, provides the seed for the spontaneous growth of connectivity and cooperation in the graph. A highly structured chemical organization arises inevitably as the ACS enlarges and percolates through the network in a short, analytically determined time scale. This self-organization does not require the presence of self-replicating species. The network also exhibits catastrophes over long time scales triggered by the chance elimination of `keystone’ species, followed by recoveries. | | Source: | arXiv, nlin.AO/0005039 | | Other source: | [GID 238469] pnas | | Services: | Forum | Review | PDF | Favorites | |
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