title: Nonlinear volatility of river flux fluctuations.
abstract: We study the spectral properties of the magnitudes of daily river flux increments, the volatility. The volatility series exhibits (i) strong seasonal periodicity and (ii) power-law correlations for time scales less than 1 yr. We test the nonlinear properties of the river flux increment series by randomizing its Fourier phases and find that the surrogate volatility series (i) has almost no seasonal periodicity and (ii) is weakly correlated for time scales less than 1 yr. We quantify the degree of nonlinearity by measuring (i) the amplitude of the power spectrum at the seasonal peak and (ii) the correlation power-law exponent of the volatility series.
authors.affiliation: Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
authors.forename: Valerie N
authors.initials: VN
authors.lastname: Livina
authors.forename: Yosef
authors.initials: Y
authors.lastname: Ashkenazy
authors.forename: Peter
authors.initials: P
authors.lastname: Braun
authors.forename: Roberto
authors.initials: R
authors.lastname: Monetti
authors.forename: Armin
authors.initials: A
authors.lastname: Bunde
authors.forename: Shlomo
authors.initials: S
authors.lastname: Havlin