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Activity Number: 531 - Urban Analytics: Modeling and Analysis of High Resolution Urban Data
Type: Invited
Date/Time: Thursday, August 6, 2020 : 1:00 PM to 2:50 PM
Sponsor: Social Statistics Section
Abstract #309214
Title: Inflection Points in Community-Level Homeless Rates
Author(s): Dennis Culhane* and Thomas Byrne and Chris Glynn
Companies: University of Pennsylvania and Boston University and University of New Hampshire
Keywords: homelessness; housing affordability; Bayesian nonparametrics; Ewens-Pitman; Mixture model
Abstract:

Statistical models of community-level homeless rates typically assume a linear relationship to covariates. This linear model assumption precludes the possibility of inflection points in homeless rates -- thresholds in quantifiable metrics of a community that, once breached, are associated with large increases in homelessness. In this talk, we identify points of structural change in the relationship between homeless rates and community-level measures of housing affordability and extreme poverty. We utilize the Ewens-Pitman attraction distribution to develop a Bayesian nonparametric mixture model in which clusters of communities with similar covariates share common patterns of variation in homeless rates. A main finding of the study is that the expected homeless rate in a community increases sharply once median rental costs exceed 32% of median income, providing statistical evidence for the widely used definition of a housing cost burden at 30% of income. Our analysis also identifies clusters of communities that exhibit distinct geographic patterns and yield insight into the homelessness and housing affordability crisis unfolding on both coasts of the United States.


Authors who are presenting talks have a * after their name.

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