Tracing patterns and shapes in remittance and migration networks via persistent homology
Abstract Pattern detection in network models provides insights to both global structure and local node interactions. In particular, studying patterns embedded within remittance and migration flow networks can be useful in understanding economic and sociologic trends and phenomena and their implicati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-01-01
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| Series: | EPJ Data Science |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1140/epjds/s13688-018-0179-z |
| _version_ | 1818525300275806208 |
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| author | Paul Samuel P. Ignacio Isabel K. Darcy |
| author_facet | Paul Samuel P. Ignacio Isabel K. Darcy |
| author_sort | Paul Samuel P. Ignacio |
| collection | DOAJ |
| description | Abstract Pattern detection in network models provides insights to both global structure and local node interactions. In particular, studying patterns embedded within remittance and migration flow networks can be useful in understanding economic and sociologic trends and phenomena and their implications both in regional and global settings. We illustrate how topo-algebraic methods can be used to detect both local and global patterns that highlight simultaneous interactions among multiple nodes, giving a more holistic perspective on the network fabric and a higher order description of the overall flow structure of directed networks. Using the 2015 Asian net migration and remittance networks, we build and study the associated directed clique complexes whose topological features correspond to specific flow patterns in the networks. We generate diagrams recording the presence, persistence, and perpetuity of patterns and show how these diagrams can be used to make inferences about the characteristics of migrant movement patterns and remittance flows. |
| first_indexed | 2024-12-11T06:07:37Z |
| format | Article |
| id | doaj.art-216aa0343a714956a71cb700a531aad4 |
| institution | Directory Open Access Journal |
| issn | 2193-1127 |
| language | English |
| last_indexed | 2024-12-11T06:07:37Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EPJ Data Science |
| spelling | doaj.art-216aa0343a714956a71cb700a531aad42022-12-22T01:18:15ZengSpringerOpenEPJ Data Science2193-11272019-01-018112510.1140/epjds/s13688-018-0179-zTracing patterns and shapes in remittance and migration networks via persistent homologyPaul Samuel P. Ignacio0Isabel K. Darcy1Department of Mathematics, University of IowaDepartment of Mathematics, University of IowaAbstract Pattern detection in network models provides insights to both global structure and local node interactions. In particular, studying patterns embedded within remittance and migration flow networks can be useful in understanding economic and sociologic trends and phenomena and their implications both in regional and global settings. We illustrate how topo-algebraic methods can be used to detect both local and global patterns that highlight simultaneous interactions among multiple nodes, giving a more holistic perspective on the network fabric and a higher order description of the overall flow structure of directed networks. Using the 2015 Asian net migration and remittance networks, we build and study the associated directed clique complexes whose topological features correspond to specific flow patterns in the networks. We generate diagrams recording the presence, persistence, and perpetuity of patterns and show how these diagrams can be used to make inferences about the characteristics of migrant movement patterns and remittance flows.http://link.springer.com/article/10.1140/epjds/s13688-018-0179-zMigration networkRemittance networkPersistent homology |
| spellingShingle | Paul Samuel P. Ignacio Isabel K. Darcy Tracing patterns and shapes in remittance and migration networks via persistent homology EPJ Data Science Migration network Remittance network Persistent homology |
| title | Tracing patterns and shapes in remittance and migration networks via persistent homology |
| title_full | Tracing patterns and shapes in remittance and migration networks via persistent homology |
| title_fullStr | Tracing patterns and shapes in remittance and migration networks via persistent homology |
| title_full_unstemmed | Tracing patterns and shapes in remittance and migration networks via persistent homology |
| title_short | Tracing patterns and shapes in remittance and migration networks via persistent homology |
| title_sort | tracing patterns and shapes in remittance and migration networks via persistent homology |
| topic | Migration network Remittance network Persistent homology |
| url | http://link.springer.com/article/10.1140/epjds/s13688-018-0179-z |
| work_keys_str_mv | AT paulsamuelpignacio tracingpatternsandshapesinremittanceandmigrationnetworksviapersistenthomology AT isabelkdarcy tracingpatternsandshapesinremittanceandmigrationnetworksviapersistenthomology |