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Temporal patterns of human behaviour: are there signs of deterministic 1/f scaling?

Author

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  • Dünki, Rudolf M
  • Keller, Elvira
  • Meier, Peter F
  • Ambühl, Brigitte

Abstract

Temporal patterns apparently exhibiting scaling properties may originate either from fractal stochastic processes or from causal (i.e., deterministic) dynamics. In general, the distinction between the possible two origins remains a non-trivial task. This holds especially for the interpretation of properties derived from temporal patterns of various types of human behaviour, which were reported repeatedly. We propose here a computational scheme based on a generic intermittency model to test predictability (thus determinism) of a part of a time series with knowledge gathered from another part. The method is applied onto psychodynamic time series related to turns from non-psychosis to psychosis. A nonrandom correlation (ρ=0.76) between prediction and real outcome is found. Our scheme thus provides a particular kind of fractal risk-assessment for this possibly deterministic process. We briefly discuss possible implications of these findings to evaluate the risk to undergo a state transition, in our case a patients risk to enter a next psychotic state. We further point to some problems concerning data sample pecularities and equivalence between data and model setup.

Suggested Citation

  • Dünki, Rudolf M & Keller, Elvira & Meier, Peter F & Ambühl, Brigitte, 2000. "Temporal patterns of human behaviour: are there signs of deterministic 1/f scaling?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 596-609.
  • Handle: RePEc:eee:phsmap:v:276:y:2000:i:3:p:596-609
    DOI: 10.1016/S0378-4371(99)00443-4
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    Cited by:

    1. Dünki, R.M. & Dressel, M., 2006. "Statistics of biophysical signal characteristics and state specificity of the human EEG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 632-650.
    2. Telesca, Luciano & Lovallo, Michele & Kaláb, Zdenek & Lednická, Marketa, 2011. "Fluctuation analysis of the time dynamics of laser distance data measured in the medieval Jeroným Mine (Czech Republic)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3551-3557.

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