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Demographic noise and piecewise deterministic Markov processes.

John Realpe-Gomez1, Tobias Galla, Alan J McKane

  • 1Theoretical Physics, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom. john.realpegomez@manchester.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study investigates hybrid systems with many individuals and continuous environmental states. Intrinsic noise can induce oscillations in these complex systems, particularly in semiarid ecosystems.

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Area of Science:

  • Statistical mechanics
  • Complex systems
  • Ecology

Background:

  • Hybrid systems with numerous individuals and continuous environmental variables present complex dynamics.
  • Understanding the impact of intrinsic noise is crucial for predicting system behavior.
  • Semi-arid ecosystems serve as a relevant case study for these phenomena.

Purpose of the Study:

  • To analyze the influence of intrinsic noise on the qualitative behavior of hybrid systems.
  • To apply concepts from nonequilibrium statistical mechanics to understand these dynamics.
  • To investigate the potential for noise-induced phenomena in ecological systems.

Main Methods:

  • Utilizing analytical and numerical methods from nonequilibrium statistical mechanics.
  • Employing a system-size expansion to analyze fluctuations.
  • Calculating the power spectrum of system fluctuations.

Main Results:

  • Demonstrated the significant impact of intrinsic noise on system dynamics.
  • Calculated the power spectrum, revealing key characteristics of fluctuations.
  • Predicted the emergence of noise-induced oscillations.

Conclusions:

  • Intrinsic noise plays a critical role in shaping the behavior of large hybrid systems.
  • The framework developed can predict novel phenomena like noise-induced oscillations.
  • Findings have implications for understanding and managing semiarid ecosystems.