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Networks and geography: Modelling community network structures as the outcome of both spatial and network processes
Authors:Galina Daraganova  Pip Pattison  Johan Koskinen  Bill Mitchell  Anthea Bill  Martin Watts  Scott Baum
Institution:1. School of Behavioural Science, University of Melbourne, Australia;2. Nuffield College, Oxford University, United Kingdom;3. The University of Newcastle, Australia;4. Griffith University, Australia
Abstract:This paper focuses on how to extend the exponential random graph models to take into account the geographical embeddedness of individuals in modelling social networks. We develop a hierarchical set of nested models for spatially embedded social networks, in which, following Butts (2002), an interaction function between tie probability and Euclidean distance between nodes is introduced. The models are illustrated by an empirical example from a study of the role of social networks in understanding spatial clustering in unemployment in Australia. The analysis suggests that a spatial effect cannot solely explain the emergence of organised network structure and it is necessary to include both spatial and endogenous network effects in the model.
Keywords:Exponential random graph models  Endogenous network processes  Clustering  Distance  Spatial processes
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