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REGIME CHANGES IN ECOLOGICAL SYSTEMS: AN INFORMATION THEORY APPROACH
Citation:
Fath, B. D., H C. Cabezas*, AND C. W. Pawlowski**. REGIME CHANGES IN ECOLOGICAL SYSTEMS: AN INFORMATION THEORY APPROACH. JOURNAL OF THEORETICAL BIOLOGY. Elsevier Science Ltd, London, Uk, 222:517-530, (2003).
Description:
We present our efforts at developing an ecological system using Information Theory. We derive an expression for Fisher Information based on sampling of the system trajectory as it evolves in the state space. The Fisher Information index as we have derived it captures the characteristic variation in the state speed along the system trajectory. For systems in periodic steady state this index is sensitive to transients. We believe that such an index could be useful in detecting system 'flips' associated with a loss of system resilience, i.e., determining when systems are in a transient between one steady state and another. We illustrate these concepts using model systems.