  Numerous genotypic diversity measures (GDMs) are available in the literature
to assess the convergence status of an evolutionary algorithm (EA) or describe
its search behavior. In a recent study, the authors of this paper drew
attention to the need for a GDM validation framework. In response, this study
proposes three requirements (monotonicity in individual varieties, twinning,
and monotonicity in distance) that can clearly portray any GDMs. These
diversity requirements are analysed by means of controlled population
arrangements. In this paper four GDMs are evaluated with the proposed
validation framework. The results confirm that properly evaluating population
diversity is a rather difficult task, as none of the analysed GDMs complies
with all the diversity requirements.
