You can look at the Introduction of our paper on this topic:

https://www.researchgate.net/publication/232042191_A_simple_approach_for_stochastic_generation_of_spatial_rainfall_patterns?ev=prf_pub

The Spatial–Temporal Neyman-Scott Rectangular Pulse (STNSRP), a modification of the single-site Neyman-Scott Rectangular Pulse (NSRP), is probably the most used. You can also find freely available codes for STNSRP.

Article A simple approach for stochastic generation of spatial rainf...

one, by hidden markov models...

@ Amor

Can you give any references for that...

@ Brocca

Thanks for your link...It have some references...

It was a very good paper ...

Greetings for the good work

Can you give any link of freely available Matlab code for STNSRP ?

In which software you did you coding for the improved NSRP model ?

Here you can find the link to some papers for STNSRP model:

http://www.staff.ncl.ac.uk/h.j.fowler/2009WR008884_Burtonetal_WRR_2010.pdf

http://www.sciencedirect.com/science/article/pii/S1364815208000613

and you have to contact [email protected] for the "rainsim" code (STNSRP).

Anyhow, we have the Matlab codes for NSRP model and for NSRP+IC model. If you are interested contact me by email: [email protected]

https://www.researchgate.net/publication/235325088_Downscaling_of_Seasonal_Precipitation_for_Crop_Simulation?ev=prf_pub

Article Downscaling of Seasonal Precipitation for Crop Simulation

@ Amor

Really good reference...

Thanks a lot

I recommend Leblois and Creutin's paper in WRR, it is open access and can be obtained from http://onlinelibrary.wiley.com/doi/10.1002/wrcr.20190/pdf.

For even better numerical efficiency and the possibility to work with non-stationary Matern models, dive into the SPDE technique, start at www.r-inla.org.

Thanks for your answer. But the paper is not open access. I will try to collect the paper.

Ah, sorry. It appears that SINTEF has a library agreement, causing the paper to be marked as open.

Dear all,

at the following link you can find the Matlab code for simulating rainfall data through the Neyman-Scott Rectangular Pulse model:

https://www.researchgate.net/publication/259310279_Neyman-Scott_Rectangular_Pulse_model_%28Matlab_code%29

We still have to do some job but the NSRP model works and provides good results!!!

In the near future we will also include the codes for the analysis of the simulated data (monthly statistics, frequency curves, ...).

Kind regards,

Luca

There a number of similar approaches for statistical simulation of space-time rainfall based on the theory of multifractals and multiplicative cascades.

I would check the references of these authors:

Merab Menabde, Daniele Veneziano, Shaun Lovejoy and Daniel Schertzer, Paolo Burlando, Roberto Deidda, VK Gupta, Alan Seed, Geoff Pegram, etc

It is a list of the most influential people in multifractal observation and simulation of rainfall that come to mind.

I also expect some geostatisticians attacking the problem using spatio-temporal geostatistics, sequential Gaussian simulations, copula-based interpolation or similar approaches for the spatial simulation of rain and classic linear time series analysis (auto-regressive processes) for simulating its temporal evolution.

All depends if you want to treat space and time separetely or jointly (which is much more difficult).

Dear Ujjwal,

I think the rainfall has a fractal behavior at different spatial and temporal scales. In particular, the rainfall time structure can be summarized by a dimensionless index that is a type of fractal dimension of the rainfall intensity:

https://www.researchgate.net/publication/284913248

Spatial distribution could be described in a similar way...

Best regards,

Robert

Article Measure of rainfall time structure using the dimensionless n-index