EarthRef.org Reference Database (ERR)
Development and Maintenance by the EarthRef.org Database Team

Detailed Reference Information
Tessier et al. 1996
Tessier, Y., Lovejoy, S., Hubert, P., Schertzer, D. and Pecknold, S. (1996). Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions. Journal of Geophysical Research 101: doi: 10.1029/96JD01799. issn: 0148-0227.

River flows have been known to be scaling for over 40 years and scaling notions have developed rapidly since the 1980s. Using the framework of universal multifractals and time series of rainfall and river runoff for 30 French catchments (basin sizes of 40 km2 to 200 km2) from 1 day to 30 years, we quantify types and extent of the scaling regimes. For both flow and rain series, we observed a scale break at roughly 16 days, which we associate with the ''synoptic maximum''; the time scale of structures of planetary spatial extent. For the two scaling regimes in both series, we estimate the universal multifractal parameters as well as the critical exponents associated with multifractal phase transitions. Using these exponents, we perform (causal) multifractal time series simulations and show how a simple (linear) scaling transfer function can be used to relate the low-frequency rainfall series to the corresponding river flow series. The high-frequency regime requires nonlinear transforms. ¿ American Geophysical Union 1996

BACKGROUND DATA FILES

Abstract

Keywords
Mathematical Geophysics, Fractals and multifractals, Hydrology, Precipitation, Hydrology, Runoff and streamflow, Hydrology, Stochastic processes
Journal
Journal of Geophysical Research
http://www.agu.org/journals/jb/
Publisher
American Geophysical Union
2000 Florida Avenue N.W.
Washington, D.C. 20009-1277
USA
1-202-462-6900
1-202-328-0566
service@agu.org
Click to clear formClick to return to previous pageClick to submit