RECOMMENDATION ITU-R P Characteristics of precipitation for propagation modelling
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1 Rec. ITU-R P RECOMMENDATION ITU-R P Characteristics of precipitation for propagation modelling (Question ITU-R 21/3) ( ) The ITU Radiocommunication Assembly, considering a) that information on the statistics of precipitation intensity is needed for the prediction of attenuation and scattering caused by precipitation; b) that the information is needed for all locations on the globe and a wide range of probabilities, recommends 1 that the model in Annex 1 be used to obtain the rainfall rate, R p, exceeded for any given percentage of the average year, p, and for any location (with an integration time of 1 min). This model is to be applied to the data supplied in the digital files ESARAINxxx.TXT; (the data files may be obtained from that part of the ITU-R website dealing with Radiocommunication Study Group 3); 2 that, for easy reference, Figs. 1 to 6 in Annex 2 be used to select the rainfall rate exceeded for.1% of the average year. These Figures were also derived from the model and data described in Annex 1. Annex 1 Model to derive the rainfall rate exceeded for a given probability of the average year and a given location The data files ESARAINPR6.TXT, ESARAIN_MC.TXT and ESARAIN_MS.TXT contain respectively the numerical values for the variables P r6, M c and M s while data files ESARAINLAT.TXT and ESARAINLON.TXT contain the latitude and longitude of each of the data entries in all other files. These data files were derived from 1 years of data of the European Centre of Medium-range Weather Forecast (ECMWF).
2 2 Rec. ITU-R P Step 1: Extract the variables P r6, M c and M s for the four points closest in latitude (Lat) and longitude (Lon) to the geographical coordinates of the desired location. The latitude grid is from +9 N to 9 S in 1. steps; the longitude grid is from to 36 in 1. steps. Step 2: From the values of P r6, M c and M s at the four grid points obtain the values P r6 (Lat,Lon), M c (Lat,Lon) and M s (Lat,Lon) at the desired location by performing a bi-linear interpolation, as described in Recommendation ITU-R P Step 3: Derive the percentage probability of rain in an average year, P, from: r6.117( M (, ) / (, ) ( 1 e s Lat Lon Pr 6 Lat Lon ) P ( Lat, Lon) = P ( Lat, Lon) (1) If P r6 is equal to zero, the percentage probability of rain in an average year and the rainfall rate exceeded for any percentage of an average year are equal to zero. In this case, the following steps are unnecessary. Step 4: Derive the rainfall rate, R p, exceeded for p % of the average year, where p P, from: 2 B + B 4AC R p ( Lat, Lon) = mm/h (2) 2A where: A = a b B = a + c ln( p / P (Lat,Lon)) C = ln( p / P (Lat,Lon)) (2a) (2b) (2c) and a = 1.11 (2d) b = ( M ( Lat, Lon) M 22932P c + s ( Lat, Lon)) (2e) c = 31.b (2f) NOTE 1 An implementation of this model and the associated data in MATLAB is also available from the ITU-R website dealing with Radiocommunication Study Group 3.
3 Rec. ITU-R P Annex FIGURE 1 Rain rate (mm/h) exceeded for.1% of the average year
4 4 Rec. ITU-R P FIGURE 2 Rain rate (mm/h) exceeded for.1% of the average year
5 Rec. ITU-R P FIGURE 3 Rain rate (mm/h) exceeded for.1% of the average year
6 6 Rec. ITU-R P FIGURE 4 Rain rate (mm/h) exceeded for.1% of the average year
7 Rec. ITU-R P FIGURE Rain rate mm/h) exceeded for.1% of the average year
8 8 Rec. ITU-R P FIGURE 6 Rain rate (mm/h) exceeded for.1% of the average year
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