Evolutionary Daisyworld models: A new approach to studying complex adaptive systems

Sanz Nuño, Juan Carlos and Vicente Buendia, Javier de and Olarrea Busto, Jose and López González-Nieto, Pilar and Lahoz-Beltra, Rafael (2010). Evolutionary Daisyworld models: A new approach to studying complex adaptive systems. "Ecological Informatics", v. 5 (n. 4); pp. 231-240. ISSN 1574-9541. https://doi.org/10.1016/j.ecoinf.2010.03.003.

Description

Title: Evolutionary Daisyworld models: A new approach to studying complex adaptive systems
Author/s:
  • Sanz Nuño, Juan Carlos
  • Vicente Buendia, Javier de
  • Olarrea Busto, Jose
  • López González-Nieto, Pilar
  • Lahoz-Beltra, Rafael
Item Type: Article
Título de Revista/Publicación: Ecological Informatics
Date: July 2010
ISSN: 1574-9541
Volume: 5
Subjects:
Freetext Keywords: Mathematical modelling; Complex adaptive system; Evolutionary algorithm; Daisyworld; Quasispecies
Faculty: E.T.S.I. Montes (UPM)
Department: Matemática Aplicada a los Recursos Naturales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper presents a model of a population of error-prone self-replicative species (replicators) that interact with its environment. The population evolves by natural selection in an environment whose change is caused by the evolutionary process itself. For simplicity, the environment is described by a single scalar factor, i.e. its temperature. The formal formulation of the model extends two basic models of Ecology and Evolutionary Biology, namely, Daisyworld and Quasispecies models. It is also assumed that the environment can also change due to external perturbations that are summed up as an external noise. Unlike previous models, the population size self-regulates, so no ad hoc population constraints are involved. When species replication is error-free, i.e. without mutation, the system dynamics can be described by an (n + 1)-dimensional system of differential equations, one for each of the species initially present in the system, and another for the evolution of the environment temperature. Analytical results can be obtained straightforwardly in low-dimensional cases. In these examples, we show the stabilizing effect of thermal white noise on the system behavior. The error-prone self-replication, i.e. with mutation, is studied computationally. We assume that species can mutate two independent parameters: its optimal growth temperature and its influence on the environment temperature. For different mutation rates the system exhibits a large variety of behaviors. In particular, we show that a quasispecies distribution with an internal sub-distribution appears, facilitating species adaptation to new environments. Finally, this ecologically inspired evolutionary model is applied to study the origin and evolution of public opinion.

More information

Item ID: 8366
DC Identifier: http://oa.upm.es/8366/
OAI Identifier: oai:oa.upm.es:8366
DOI: 10.1016/j.ecoinf.2010.03.003
Official URL: http://www.sciencedirect.com/science/journal/15749541
Deposited by: Memoria Investigacion
Deposited on: 29 Aug 2011 09:29
Last Modified: 20 Apr 2016 17:11
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