Projecting social contact matrices to populations stratified by binary attributes with known homophily

Fuente: arXiv
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Main Author: Kadelka, Claus
Format: Preprint
Published: 2022
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author Kadelka, Claus
author_facet Kadelka, Claus
contents Contact networks are heterogeneous. People with similar characteristics are more likely to interact, a phenomenon called assortative mixing or homophily. While age-assortativity is well-established and social contact matrices for populations stratified by age have been derived through extensive survey work, we lack empirical studies that describe contact patterns of a population stratified by other attributes such as gender, sexual orientation, ethnicity, etc. Accounting for heterogeneities with respect to these attributes can have a profound effect on the dynamics of epidemiological forecasting models. Here, we introduce a new methodology to expand a given e.g. age-based contact matrix to populations stratified by binary attributes with a known level of homophily. We describe a set of linear conditions any meaningful social contact matrix must satisfy and find the optimal matrix by solving a non-linear optimization problem. We show the effect homophily can have on disease dynamics and conclude by briefly describing more complicated extensions. The available Python source code enables any modeler to account for the presence of homophily with respect to binary attributes in contact patterns, ultimately yielding more accurate predictive models.
format Preprint
id arxiv_https___arxiv_org_abs_2207_12328
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Projecting social contact matrices to populations stratified by binary attributes with known homophily
Kadelka, Claus
Physics and Society
Dynamical Systems
Quantitative Methods
92D30
Contact networks are heterogeneous. People with similar characteristics are more likely to interact, a phenomenon called assortative mixing or homophily. While age-assortativity is well-established and social contact matrices for populations stratified by age have been derived through extensive survey work, we lack empirical studies that describe contact patterns of a population stratified by other attributes such as gender, sexual orientation, ethnicity, etc. Accounting for heterogeneities with respect to these attributes can have a profound effect on the dynamics of epidemiological forecasting models. Here, we introduce a new methodology to expand a given e.g. age-based contact matrix to populations stratified by binary attributes with a known level of homophily. We describe a set of linear conditions any meaningful social contact matrix must satisfy and find the optimal matrix by solving a non-linear optimization problem. We show the effect homophily can have on disease dynamics and conclude by briefly describing more complicated extensions. The available Python source code enables any modeler to account for the presence of homophily with respect to binary attributes in contact patterns, ultimately yielding more accurate predictive models.
title Projecting social contact matrices to populations stratified by binary attributes with known homophily
topic Physics and Society
Dynamical Systems
Quantitative Methods
92D30
url https://arxiv.org/abs/2207.12328