A dynamic process interpretation of the sparse ERGM reference model. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Butts, Carter T.
• Is Part Of: Journal of mathematical sociology. Volume 43:Issue 1(2019)
• Page Start: 40
• Page End: 57
• Publication Date: 2019-01-02
• Subjects: Baseline models -- ERGMs -- network dynamics -- reference measures; Sociology -- Periodicals; Sociology -- Mathematical models -- Periodicals; 301.0151
• DOI: 10.1080/0022250X.2018.1490737
• Languages: English
• ISSNs: 0022-250X

Abstract

ABSTRACT: Exponential family random graph models (ERGMs) can be understood in terms of a set of structural biases that act on an underlying reference distribution. This distribution determines many aspects of the behavior and interpretation of the ERGM families incorporating it. One important innovation in this area has been the development of an ERGM reference model that produces realistic behavior when generalized to sparse networks of varying sizes. Here, we show that this model can be derived from a latent dynamic process in which tie formation takes place within small local settings between which individuals move. This derivation provides one possible micro-process interpretation of the sparse ERGM reference model and sheds light on the conditions under which constant mean degree scaling can emerge.