Template-type: ReDIF-Paper 1.0 Author-Name: Lafond, F. Author-Email: lafond@merit.unu.edu Author-Workplace-Name: UNU-MERIT Title: The size of patent categories: USPTO 1976-2006 Abstract: Categorization is an important phenomenon in science and society, and classification systems reflect the mesoscale organization of knowledge. The Yule-Simon-Naranan model, which assumes exponential growth of the number of categories and exponential growth of individual categories predicts a power law Pareto size distribution, and a power law size-rank relation Zipfs law. However, the size distribution of patent subclasses departs from a pure power law, and is shown to be closer to a shifted power law. At a higher aggregation level patent classes, the rank-size relation deviates even more from a pure power law, and is shown to be closer to a generalized beta curve. These patterns can be explained by assuming a shifted exponential growth of individual categories to obtain a shifted power law size distribution for subclasses, and by assuming an asymmetric logistic growth of the number of categories to obtain a generalized beta size-rank relationship for classes. This may suggest a shift towards incremental more than radical innovation. Classification-JEL: O30, O31 Keywords: Innovation, R&D, Learning, Knowledge, Classification, Categorization, Pareto distribution, Power law Series: UNU-MERIT Working Papers Creation-Date: 20140631 Number: 2014-060 File-URL: https://unu-merit.nl/publications/wppdf/2014/wp2014-060.pdf File-Format: application/pdf File-Size: 1111 Kb Handle: RePEc:unm:unumer:2014060