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q-triplet for Brazos River discharge: The edge of chaos?

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  • Stosic, Tatijana
  • Stosic, Borko
  • Singh, Vijay P.

Abstract

We study the daily discharge data of Brazos River in Texas, USA, from 1900 to 2017, in terms of concepts drawn from the non-extensive statistics recently introduced by Tsallis. We find that the Brazos River discharge indeed follows non-extensive statistics regarding equilibrium, relaxation and sensitivity. Besides being the first such finding of a full-fledged q-triplet in hydrological data with possible future impact on water resources management, the fact that all three Tsallis q-triplet values are remarkably close to those of the logistic map at the onset of chaos opens up new questions towards a deeper understanding of the Brazos River dynamics, that may prove relevant for hydrological research in a more general sense.

Suggested Citation

  • Stosic, Tatijana & Stosic, Borko & Singh, Vijay P., 2018. "q-triplet for Brazos River discharge: The edge of chaos?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 137-142.
    • Handle: RePEc:eee:phsmap:v:495:y:2018:i:c:p:137-142
    DOI: 10.1016/j.physa.2017.12.061
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    References listed on IDEAS

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    5. Ferri, G.L. & Reynoso Savio, M.F. & Plastino, A., 2010. "Tsallis’ q-triplet and the ozone layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1829-1833.
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