Dear Dr. Dragos Ionut Neagu,

The best path forward is to start from the ideas outlined in:

M. Ehrendorfer "The Liouville equation and atmospheric predictability"

(this article is the excellent source of information about the potential application of the methods of phase space in meteorology)

and

T. N. Palmer "Lorenz, Godel and Penrose: new perspective on determinism and causality in fundamental physics"

(this article will introduce properties of the Lorentz fractal invariant)

When working with the shallow water equations one can construct a phase space for this system and apply some of the methods described in the above papers.

With my Best Regards,

Janusz

Dear Janusz,

   thank you for support regarding phase space applicability. Will take some time in getting my head around those 2 papers and with you permission I might comeback with some questions.

Regards,

Dragos

Dear Dragos,

Your question was quite stimulating and I look forward to our discussion in the near future.

Regards,

Janusz

1) I have used artificial neural networks. See the papers: 

M. C. V. Ramirez, H. F. Campos Velho, N. J. Ferreira (2005): "Artificial Neural Network Technique for Precipitation Forecasts Applied to the Sao Paulo Region". Journal of Hydrology (Amsterdam), vol. 301, No.1-4, p. 146-162.

M. C. Valverde Ramirez, N.J. Ferreira, H. F. Campos Velho (2006): "Linear and Nonlinear Statistical Downscaling for Rainfall Forecasting over Southeastern Brazil", Weather and Forecasting, vol. 21, p. 969-989.

2) Neuro-fuzzy systems:

M. C. Valverde, E. Araujo, H. F. Campos Velho (2014): "Neural network and fuzzy logic statistical downscaling of atmospheric circulation-type specific weather pattern for rainfall forecasting". Applied Soft Computing, vol. 22, p. 681-694.

3) More recently, we have employed other data miming tools: p-value (statistical evaluation) and decision tree:

H. M. Ruivo, G. Sampaio, F. M. Ramos (2014): "Knowledge extraction from

large climatological data sets using a genome-wide analysis approach:

application to the 2005 and 2010 Amazon droughts". Climatic Change,

vol. 1.

Ola Haroldo,

could you be kind and give access to latest paper.

Thank you!

Dragos