It seems that global warming is affecting the entire world but particularly North Africa and the study of precipitations in the past could confirm or infirm this trend.
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Access to the data is difficult. Beside the Meteo offices in the three countries, the bassin agencies have a quite large network (DRPE Morocco- ANRH Algeria- DGRE Tunisia).
See :
Tramblay Y., El Adlouni S., Servat E., 2013: Trends and variability in extreme precipitation indices over North Africa. Natural Hazards and Earth System Sciences, 13, 3235-3248 http://dx.doi.org/doi:10.5194/nhess-13-3235-2013
Hi Saif, these satellite soil moisture products are obtained by passive and acrive microwave sensors, i.e. by radiometers and scatterometers. The data are resampled at 1° resolution, but they could be also available at 0.125°.
Weatheronline, if you google it, does have world data though resolution varies. Useful as well they have relative humidity, pressure, wind speed etc. You have to pay a small charge, extract data then cancel membership which is cumbersome though. Some of the above links may be better.
Re-analysis dataset provided by ECMWF, NOAA etc are available while observed dataset such as Global Summary of the Day and Global Historical Climate Network provided by NOAA are also available.
There are of course a great many published papers exploring changes of precipitation due to climate change and variability in most parts of the world and some also take a global perspective and draw conclusions about precip. climate change quasi-globally. A good place to start to find what has been done and what has been concluded so far is Chapter 2 of Working Group 1 of the Fifth IPCC Assessment Report (2013). If this is googled, the web address of the IPCC Report and all its chapters should come up - free of charge to access and download.
For original precip. studies over land, monthly data from the UK Climatic Research Unit version 3.22 has a spatial resolution of 0.5x0.5 degrees and extends (monthly) from 1901-2013. The best place to find it is via KNMI Climate Explorer. This is free (you need to register I think) and you can do your own simpler analyses without programs using Explorer, or download the data and do what you want. Google "KNMI Climate Explorer" and you will find it. Go to monthly observations and find the CRU precip. data set and many other precipitation data sets. Direct links to the original data and their descriptions are found in the "i" button next to the particular data set you want. Follow this and you can download what you need from original sources. KNMI Explorer actually links to a vast array of climate data sets of all sorts. It also links to CMIP5 climate change model data which can also be analysed directly to some extent on KMNI Climate Explorer.
The same resolution than CRU data sets, 0,5° x 0,5°
But years only 1940 to 1999.
The difference with CRU is that each month the data set is different, as the interpolation was made directly with observed data, with no use of a reference period to force the grid values.