Geodiversity is an emerging, multi-faceted concept in Earth and environmental sciences. Knowledge on geo-diversity is crucial for understanding functions of natural systems and in guiding sustainable development. Despite the critical nature of geodiversity information, data acquisition and analytical methods have lagged behind the conceptual developments in biosciences. Thus, we propose that geodiversity research could adopt the framework of alpha, beta and gamma concepts widely used in biodiversity research. Especially, geodiversity research would benefit from widening its scope from the evaluation of individual sites towards more holistic geodiversity assessments, where between-site geodiversity is also considered. In this article, we explore the alpha, beta and gamma concepts and how they can be applied in a geodiversity framework. In addition, we scrutinize the statistical methodology related to alpha, beta and gamma geodiversity evaluations, with a special focus on distance metrics for measuring beta geodiversity. As an overview of the process, and to give practical guidelines for the application of the proposed methodology, we present a case study from a UNESCO Global Geopark area. Thus, this study not only develops the geodiversity concept, but also paves the way for simultaneous understanding of both geodiversity and biodiversity within a unified conceptual approach.