As can be seen from the multifractal explorer, many of these fields can be modeled using multifractals (see Lovejoy and Schertzer 2009 (part1) and part 2 for recent technical improvements on numerical simulations of continuous in scale multifractals).

New Scientist article by Robert Mathews, link to the article on the NS site (with videos).

Why multifractals?

A nonmathematical discussion can be found here.

An introduction to multifractals can be found here.

A recent review paper of the last twenty years can be found here (Lovejoy and Schertzer 2007).

For a theoretical overview click here.

For the original codimension formulation of multifractals click here (11MB).

For a review of multifractals and rain click here (11MB).

Fractals, multifractals on book, journal covers.

Isotropic (self-similar) multifractal software. (see also the appendix A in here for details).

An overview of challenges in precipitiation science: an invited presentation at the 10th International Conference on Precipition, Coimbra, Portugal, June 2010.