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An information theory-based approach to assessing spatial patterns in complex systems.

Tarsha Eason1, Wen Ching-Chuang2, Shana Sundstrom3

  • 1U.S. Environmental Protection Agency, National Risk Management Research Laboratory, Research Triangle Park, North Carolina. USA.

Entropy (Basel, Switzerland)
|August 13, 2019
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Summary
This summary is machine-generated.

This study introduces a novel spatial Fisher information method to analyze complex environmental data, revealing hidden geographical patterns and system dynamics for better ecological understanding.

Keywords:
Fisher information (FI)early warning indicators (EWI)geospatial datainformation theory (IT)regime shiftsspatial assessment

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Area of Science:

  • Ecological complexity and environmental change
  • Social-ecological systems analysis
  • Geospatial data synthesis

Background:

  • Environmental change necessitates methods for synthesizing complex system behavior across geographical areas.
  • Fisher information effectively detects system dynamics and regime shifts but is underutilized for spatial data.
  • Existing spatial applications of Fisher information are limited to transect data.

Purpose of the Study:

  • To develop an advanced Fisher information method for comprehensive spatial dynamics analysis.
  • To overcome limitations of previous transect-based spatial applications.
  • To uncover hidden spatial trends in complex systems.

Main Methods:

  • Expansion of Fisher information computation to accommodate broader spatial data.
  • Application of the method to multivariate data without pre-defined system drivers.
  • Analysis of geographical patterns using the enhanced Fisher information index.

Main Results:

  • The developed method successfully captures spatial dynamics.
  • Changes in the Fisher information index correspond with geographical patterns.
  • The approach revealed previously hidden spatial trends in complex systems.

Conclusions:

  • The enhanced spatial Fisher information method is valuable for synthesizing complex system behavior.
  • This approach offers a powerful tool for understanding spatial patterns in ecological and social-ecological systems.
  • The method facilitates deeper insights into environmental change impacts across geographical landscapes.