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Assessment of long-range correlation in animal behavior time series: The temporal pattern of locomotor activity of Japanese quail (Coturnix coturnix) and mosquito larva (Culex quinquefasciatus)

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  • Kembro, Jackelyn M.
  • Flesia, Ana Georgina
  • Gleiser, Raquel M.
  • Perillo, María A.
  • Marin, Raul H.

Abstract

Detrended Fluctuation Analysis (DFA) is a method that has been frequently used to determine the presence of long-range correlations in human and animal behaviors. However, according to previous authors using statistical model systems, in order to correctly use DFA different aspects should be taken into account such as: (1) the establishment by hypothesis testing of the absence of short term correlation, (2) an accurate estimation of a straight line in the log–log plot of the fluctuation function, (3) the elimination of artificial crossovers in the fluctuation function, and (4) the length of the time series. Taking into consideration these factors, herein we evaluated the presence of long-range correlation in the temporal pattern of locomotor activity of Japanese quail (Coturnix coturnix) and mosquito larva (Culex quinquefasciatus). In our study, modeling the data with the general autoregressive integrated moving average (ARFIMA) model, we rejected the hypothesis of short-range correlations (d=0) in all cases. We also observed that DFA was able to distinguish between the artificial crossover observed in the temporal pattern of locomotion of Japanese quail and the crossovers in the correlation behavior observed in mosquito larvae locomotion. Although the test duration can slightly influence the parameter estimation, no qualitative differences were observed between different test durations.

Suggested Citation

  • Kembro, Jackelyn M. & Flesia, Ana Georgina & Gleiser, Raquel M. & Perillo, María A. & Marin, Raul H., 2013. "Assessment of long-range correlation in animal behavior time series: The temporal pattern of locomotor activity of Japanese quail (Coturnix coturnix) and mosquito larva (Culex quinquefasciatus)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6400-6413.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:24:p:6400-6413
    DOI: 10.1016/j.physa.2013.08.017
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    as
    1. Schmitt, François G. & Seuront, Laurent & Hwang, Jiang-Shiou & Souissi, Sami & Tseng, Li-Chun, 2006. "Scaling of swimming sequences in copepod behavior: Data analysis and simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 287-296.
    2. Stanley, H.E. & Afanasyev, V. & Amaral, L.A.N. & Buldyrev, S.V. & Goldberger, A.L. & Havlin, S. & Leschhorn, H. & Maass, P. & Mantegna, R.N. & Peng, C.-K. & Prince, P.A. & Salinger, M.A. & Stanley, M., 1996. "Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 302-321.
    3. Lopes, S.R.C. & Nunes, M.A., 2006. "Long memory analysis in DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 569-588.
    4. Blesić, S. & Milošević, S. & Stratimirović, Dj. & Ljubisavljević, M., 2003. "Detecting long-range correlations in time series of neuronal discharges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(3), pages 391-399.
    5. Amir Bashan & Ronny Bartsch & Jan W. Kantelhardt & Shlomo Havlin, 2008. "Comparison of detrending methods for fluctuation analysis," Papers 0804.4081, arXiv.org.
    6. Hausdorff, Jeffrey M. & Ashkenazy, Yosef & Peng, Chang-K. & Ivanov, Plamen Ch. & Stanley, H.Eugene & Goldberger, Ary L., 2001. "When human walking becomes random walking: fractal analysis and modeling of gait rhythm fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 138-147.
    7. Bartsch, Ronny & Plotnik, Meir & Kantelhardt, Jan W. & Havlin, Shlomo & Giladi, Nir & Hausdorff, Jeffrey M., 2007. "Fluctuation and synchronization of gait intervals and gait force profiles distinguish stages of Parkinson's disease," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 455-465.
    8. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
    9. Bashan, Amir & Bartsch, Ronny & Kantelhardt, Jan W. & Havlin, Shlomo, 2008. "Comparison of detrending methods for fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5080-5090.
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    1. Halupka, Konrad, 2017. "Information flow in a network of dispersed signalers-receivers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 610-617.

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