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Switch of Sensitivity Dynamics Revealed with DyGloSA Toolbox for Dynamical Global Sensitivity Analysis as an Early Warning for System's Critical Transition

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  • Tatiana Baumuratova
  • Simona Dobre
  • Thierry Bastogne
  • Thomas Sauter

Abstract

Systems with bifurcations may experience abrupt irreversible and often unwanted shifts in their performance, called critical transitions. For many systems like climate, economy, ecosystems it is highly desirable to identify indicators serving as early warnings of such regime shifts. Several statistical measures were recently proposed as early warnings of critical transitions including increased variance, autocorrelation and skewness of experimental or model-generated data. The lack of automatized tool for model-based prediction of critical transitions led to designing DyGloSA – a MATLAB toolbox for dynamical global parameter sensitivity analysis (GPSA) of ordinary differential equations models. We suggest that the switch in dynamics of parameter sensitivities revealed by our toolbox is an early warning that a system is approaching a critical transition. We illustrate the efficiency of our toolbox by analyzing several models with bifurcations and predicting the time periods when systems can still avoid going to a critical transition by manipulating certain parameter values, which is not detectable with the existing SA techniques. DyGloSA is based on the SBToolbox2 and contains functions, which compute dynamically the global sensitivity indices of the system by applying four main GPSA methods: eFAST, Sobol's ANOVA, PRCC and WALS. It includes parallelized versions of the functions enabling significant reduction of the computational time (up to 12 times). DyGloSA is freely available as a set of MATLAB scripts at http://bio.uni.lu/systems_biology/software/dyglosa. It requires installation of MATLAB (versions R2008b or later) and the Systems Biology Toolbox2 available at www.sbtoolbox2.org. DyGloSA can be run on Windows and Linux systems, -32 and -64 bits.

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  • Tatiana Baumuratova & Simona Dobre & Thierry Bastogne & Thomas Sauter, 2013. "Switch of Sensitivity Dynamics Revealed with DyGloSA Toolbox for Dynamical Global Sensitivity Analysis as an Early Warning for System's Critical Transition," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-12, December.
    • Handle: RePEc:plo:pone00:0082973
    DOI: 10.1371/journal.pone.0082973
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    References listed on IDEAS

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    1. Vasilis Dakos & Stephen R Carpenter & William A Brock & Aaron M Ellison & Vishwesha Guttal & Anthony R Ives & Sonia Kéfi & Valerie Livina & David A Seekell & Egbert H van Nes & Marten Scheffer, 2012. "Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-20, July.
    2. Marco Ratto, 2008. "Analysing DSGE Models with Global Sensitivity Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 115-139, March.
    3. John Kambhu & Neel Krishnan & Scott Weidman, 2007. "Preface to New Directions for Understanding Systemic Risk," Economic Policy Review, Federal Reserve Bank of New York, vol. 13(Nov).
    4. John Savill & Valerie Fadok, 2000. "Corpse clearance defines the meaning of cell death," Nature, Nature, vol. 407(6805), pages 784-788, October.
    5. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
    6. John Kambhu & Neel Krishnan & Scott Weidman, 2007. "Part 1: Introduction to New Directions for Understanding Systemic Risk," Economic Policy Review, Federal Reserve Bank of New York, vol. 13(Nov), pages 3-14.
    7. John M. Drake & Blaine D. Griffen, 2010. "Early warning signals of extinction in deteriorating environments," Nature, Nature, vol. 467(7314), pages 456-459, September.
    8. Marten Scheffer, 2010. "Foreseeing tipping points," Nature, Nature, vol. 467(7314), pages 411-412, September.
    9. Jose G. Venegas & Tilo Winkler & Guido Musch & Marcos F. Vidal Melo & Dominick Layfield & Nora Tgavalekos & Alan J. Fischman & Ronald J. Callahan & Giacomo Bellani & R. Scott Harris, 2005. "Self-organized patchiness in asthma as a prelude to catastrophic shifts," Nature, Nature, vol. 434(7034), pages 777-782, April.
    10. Annelies J. Veraart & Elisabeth J. Faassen & Vasilis Dakos & Egbert H. van Nes & Miquel Lürling & Marten Scheffer, 2012. "Correction: Corrigendum: Recovery rates reflect distance to a tipping point in a living system," Nature, Nature, vol. 484(7394), pages 404-404, April.
    11. Timothy S. Gardner & Charles R. Cantor & James J. Collins, 2000. "Construction of a genetic toggle switch in Escherichia coli," Nature, Nature, vol. 403(6767), pages 339-342, January.
    12. Marten Scheffer & Jordi Bascompte & William A. Brock & Victor Brovkin & Stephen R. Carpenter & Vasilis Dakos & Hermann Held & Egbert H. van Nes & Max Rietkerk & George Sugihara, 2009. "Early-warning signals for critical transitions," Nature, Nature, vol. 461(7260), pages 53-59, September.
    13. Annelies J. Veraart & Elisabeth J. Faassen & Vasilis Dakos & Egbert H. van Nes & Miquel Lürling & Marten Scheffer, 2012. "Recovery rates reflect distance to a tipping point in a living system," Nature, Nature, vol. 481(7381), pages 357-359, January.
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