{"title":"Nonbinary Representations in the NK and NKCS Models","authors":"L. Bull","doi":"10.25088/complexsystems.31.1.87","DOIUrl":null,"url":null,"abstract":"The NK model has been used widely to explore aspects of natural evolution and complex systems. Traditionally, the model has used a binary representation scheme. This paper introduces a modified form of the NK model through which to systematically explore the effects of discrete, nonbinary representations on evolution over rugged fitness landscapes. Results suggest the basic properties of the original model remain but changes are seen in walk lengths to optima and the sensitivity to mutation rates, in particular. The variation to the case of coupled fitness landscapes, the NKCS model, is also extended in the same way. Again, similarities and differences to the binary case are found.","PeriodicalId":50871,"journal":{"name":"Advances in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Complex Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.25088/complexsystems.31.1.87","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 1
Abstract
The NK model has been used widely to explore aspects of natural evolution and complex systems. Traditionally, the model has used a binary representation scheme. This paper introduces a modified form of the NK model through which to systematically explore the effects of discrete, nonbinary representations on evolution over rugged fitness landscapes. Results suggest the basic properties of the original model remain but changes are seen in walk lengths to optima and the sensitivity to mutation rates, in particular. The variation to the case of coupled fitness landscapes, the NKCS model, is also extended in the same way. Again, similarities and differences to the binary case are found.
期刊介绍：
Advances in Complex Systems aims to provide a unique medium of communication for multidisciplinary approaches, either empirical or theoretical, to the study of complex systems. The latter are seen as systems comprised of multiple interacting components, or agents. Nonlinear feedback processes, stochastic influences, specific conditions for the supply of energy, matter, or information may lead to the emergence of new system qualities on the macroscopic scale that cannot be reduced to the dynamics of the agents. Quantitative approaches to the dynamics of complex systems have to consider a broad range of concepts, from analytical tools, statistical methods and computer simulations to distributed problem solving, learning and adaptation. This is an interdisciplinary enterprise.
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