Skip to main content
Top

2018 | OriginalPaper | Chapter

9. Merging Entropy in Self-Organisation: A Geographical Approach

Authors : Eric Vaz, Dragos Bandur

Published in: Resilience and Regional Dynamics

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Spatially-referenced data has achieved a unique place in regional science over the last decades. Much of the evolution Geographic Information Systems and Science have witnessed is due to the advances in the field of geocomputation and categorization of social and economic phenomena over geographical space. One of the traditional ways of analyzing socioeconomic data is by using rigid administrative boundaries, where internal structure, as well as the distribution of phenomena, lead to the disruption of their internal structure. This chapter assesses a more natural approach for data aggregation by using self-organizing maps. It aims to extend the debate on mutual information as well as spatial data, showing how data aggregation directly affects entropy values within the correlation of regions. This supports the identification of a new method that registers stronger correlated areas through a combination of entropy and self-organization, which offers new insights into topological innovation of spatially-explicit data and its integration in the field of regional science.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Cover, T. M., & Thomas, J. A. (2006). Elements of information theory (2nd ed.). Hoboken, NJ: Wiley. Cover, T. M., & Thomas, J. A. (2006). Elements of information theory (2nd ed.). Hoboken, NJ: Wiley.
go back to reference Hagen-Zanker, A., & Jin, Y. (2012). A new method of adaptive zoning for spatial interaction models. Geographical Analysis, 44(4), 281–301.CrossRef Hagen-Zanker, A., & Jin, Y. (2012). A new method of adaptive zoning for spatial interaction models. Geographical Analysis, 44(4), 281–301.CrossRef
go back to reference Hausser, J., & Strimmer, K. (2009). Entropy inference and the James-stein estimator, with application to nonlinear gene association networks. The Journal of Machine Learning Research, 10, 1469–1484. Hausser, J., & Strimmer, K. (2009). Entropy inference and the James-stein estimator, with application to nonlinear gene association networks. The Journal of Machine Learning Research, 10, 1469–1484.
go back to reference Jaynes, E. T. (1982). On the rationale of maximum-entropy methods. Proceedings of the IEEE, 70(9), 939–952.CrossRef Jaynes, E. T. (1982). On the rationale of maximum-entropy methods. Proceedings of the IEEE, 70(9), 939–952.CrossRef
go back to reference Openshaw, S. (1977). A geographical solution to scale and aggregation problems in region-building, partitioning and spatial modeling. Transactions of the Institute of British Geographers, 2, 459–472.CrossRef Openshaw, S. (1977). A geographical solution to scale and aggregation problems in region-building, partitioning and spatial modeling. Transactions of the Institute of British Geographers, 2, 459–472.CrossRef
go back to reference Openshaw, S., & Rao, L. (1995). Algorithms for reengineering 1991 census geography. Environment and Planning A, 27, 425–446.CrossRef Openshaw, S., & Rao, L. (1995). Algorithms for reengineering 1991 census geography. Environment and Planning A, 27, 425–446.CrossRef
go back to reference Parenteau, M. P., & Sawada, M. C. (2011). The modifiable areal unit problem (MAUP) in the relationship between exposure to NO2 and respiratory health. International Journal of Health Geographics, 10(1), 1–15.CrossRef Parenteau, M. P., & Sawada, M. C. (2011). The modifiable areal unit problem (MAUP) in the relationship between exposure to NO2 and respiratory health. International Journal of Health Geographics, 10(1), 1–15.CrossRef
go back to reference Polani, D. (2002). Measures for the organization of self-organizing maps. In Self-organizing neural networks (pp. 13–44). Heidelberg: Physica-Verlag.CrossRef Polani, D. (2002). Measures for the organization of self-organizing maps. In Self-organizing neural networks (pp. 13–44). Heidelberg: Physica-Verlag.CrossRef
go back to reference Shannon, C. E. (2001). A mathematical theory of communication. ACM SIGMOBILE Mobile Computing and Communications Review, 5(1), 3–55.CrossRef Shannon, C. E. (2001). A mathematical theory of communication. ACM SIGMOBILE Mobile Computing and Communications Review, 5(1), 3–55.CrossRef
go back to reference Vaz, E., Cusimano, M., & Hernandez, T. (2015). Land use perception of self-reported health: Exploratory analysis of anthropogenic land use phenotypes. Land Use Policy, 46, 232–240.CrossRef Vaz, E., Cusimano, M., & Hernandez, T. (2015). Land use perception of self-reported health: Exploratory analysis of anthropogenic land use phenotypes. Land Use Policy, 46, 232–240.CrossRef
Metadata
Title
Merging Entropy in Self-Organisation: A Geographical Approach
Authors
Eric Vaz
Dragos Bandur
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-95135-5_9