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Mind the Gap: A Study in Global Development Through Persistent Homology

  • Andrew BanmanEmail author
  • Lori Ziegelmeier
Chapter
Part of the Association for Women in Mathematics Series book series (AWMS, volume 13)

Abstract

The Gapminder project set out to use statistics to dispel simplistic notions about global development. In the same spirit, we use persistent homology, a technique from computational algebraic topology, to explore the relationship between country development and geography. For each country, four indicators, gross domestic product per capita; average life expectancy; infant mortality; and gross national income per capita, were used to quantify the development. Two analyses were performed. The first considers clusters of the countries based on these indicators, and the second uncovers cycles in the data when combined with geographic border structure. Our analysis is a multi-scale approach that reveals similarities and connections among countries at a variety of levels. We discover localized development patterns that are invisible in standard statistical methods.

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Copyright information

© The Author(s) and the Association for Women in Mathematics 2018

Authors and Affiliations

  1. 1.University of MinnesotaMinneapolisUSA
  2. 2.Department of Mathematics, Statistics, & Computer ScienceMacalester CollegeSaint PaulUSA

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