Granularity, scale and collectivity: When size does and does not matter

Bridging levels of granularity and scale are frequently cited as key problems for biomedical informatics. However, detailed accounts of what is meant by these terms are sparse in the literature. We argue for distinguishing two notions: size range, which deals with physical size, and collectivity, which deals with aggregations of individuals into collections, which have emergent properties and effects. We further distinguish these notions from specialisation, degree of detail, density, and connectivity. We argue that the notion of collectivity molecules in water, cells in tissues, people in crowds, stars in galaxies-has been neglected but is a key to representing biological notions, that it is a pervasive notion across size ranges-micro, macro, cosmological, etc-and that it provides an account of a number of troublesome issues including the most important cases of when the biomedical notion of parthood is, or is not, best represented by a transitive relation. Although examples are taken from biomedicine, we believe these notions to have wider application. (c) 2005 Elsevier Inc. All rights reserved.