Volume 77, Number 4, February 2007
|Number of page(s)
|06 February 2007
Effects of finite probing windows on the interpretation of the multifractal properties of random walks
Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy University of New Mexico - Albuquerque NM 87131, USA
2 Instituto de Física, Universidade Federal de Alagoas - 57072-970, Maceió-AL, Brazil
3 Valles Caldera Trust, Jemez Springs - NM, 87025, USA
4 Department of Biology, University of New Mexico - Albuquerque, NM 87131, USA
Accepted: 15 December 2006
We investigate the general problem of how the finiteness of a probing window for measurements of the movements of a random walker can lead to spurious detection of multifractality as well as to incorrect values of Hurst exponents, and propose a method for correcting for these effects. We also study the case in which the roaming region of the walker is itself of limited extent, when a nonlinear interplay occurs between the roaming area and the window size. In the context of animal movements, we describe briefly an application of these ideas to mark-recapture observations in a mouse population, of interest to the important topic of the spread of the Hantavirus epidemic.
PACS: 05.40.Fb – Random walks and Levy flights / 89.20.-a – Interdisciplinary applications of physics / 87.23.-n – Ecology and evolution
© Europhysics Letters Association, 2007
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