Articles | Volume 5, issue 2
Nonlin. Processes Geophys., 5, 63–68, 1998
https://doi.org/10.5194/npg-5-63-1998
Nonlin. Processes Geophys., 5, 63–68, 1998
https://doi.org/10.5194/npg-5-63-1998

  30 Jun 1998

30 Jun 1998

Bounded lognormal cascades as quasi-multiaffine random processes

M. Menabde M. Menabde
  • Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Abstract. A new model for simulating non-negative random processes is developed. The model is based on a bounded random multiplicative cascade with a lognormal generator with the scale parameter dependent on the number of steps in the cascade. It is shown, both analytically and numerically, that the simulated field has multiaffine properties within some restricted range of scales. This type of random processes is defined here as quasi-multiaffine. A procedure for retrieving the modelling parameters from real data is also discussed.