Population diversity index: a new measure for population diversity

  • Authors:
  • Selmar K. Smit;Zoltan Szláavik;Agoston E. Eiben

  • Affiliations:
  • Vrije Universiteit, Amsterdam, Netherlands;Vrije Universiteit, Amsterdam, Netherlands;Vrije Universiteit, Amsterdam, Netherlands

  • Venue:
  • Proceedings of the 13th annual conference companion on Genetic and evolutionary computation
  • Year:
  • 2011

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Abstract

A number of diversity measures used in evolutionary computing suffer from 'mis-measuring' the diversity of populations. In this paper, we identify and demonstrate this problem using a carefully engineered test suite of six differently arranged populations. We also propose a new measure, called Population Diversity Index (PDI), that solves the problem. We show that sorting the test configurations by their PDI value we obtain a correct ranking (i.e., a natural one, conformant with the human-perceived order). PDI also allows for a comparison between populations of different sizes and genome-dimensions, and its relation to the uniform distribution makes the calculated diversity values easy to interpret.