Fractal analysis of time series in epidemiology: Is there information hidden in the noise?

نویسندگان

  • Jan F. Nygård
  • Eystein Glattre
چکیده

Monthly total cancer incidence rates for women and monthly thyroid cancer incidence rates for women were retrieved from the Cancer Registry of Norway for the period 1953-2000, that is, 246-1061 cases per month and a total of 331 196 cases, and 0-24 female thyroid cases per month, a total of 5045, during this half-century. De-trended fluctuation analysis ad modum Peng et al., briefly explained in the article, are used to show that these two morbidity curves are statistical fractals, self-affine and non-Euclidean. The self-affinity parameter a = 0.87 of the female thyroid cancer curve indicates persistent long-range power-law time-correlations of the curve fluctuations. This finding indicates that exposure has occurred in the female population leading to the occurrence of thyroid cancer cases spread over a wide period. For the total female cancer curve, on the other hand, the self-affinity parameter a = 1.35 indicates timecorrelations, but not the long-range, power-law type.

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تاریخ انتشار 2003