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<br />378 <br /> <br />PJ. BRtMAUD AND Y.B. POINT1N <br /> <br />'I <br />I <br />I <br />, <br /> <br />30 <br /> <br /> <br />so <br /> <br />.. <br /> <br />70 <br /> <br />60 <br /> <br /> <br />, <br /> <br />RADAR <br /> <br /> <br />20 <br /> <br />40 <br /> <br />-10 <br /> <br />30 <br /> <br />-2 <br /> <br />-30 <br /> <br />.I' <br /> <br />10 <br /> <br />o <br /> <br />10 <br /> <br />30 <br /> <br />60 <br /> <br />40 <br /> <br />so <br /> <br />2ll <br /> <br />East-West distance in km. <br /> <br />Fig. 3. eEL echoes detected on the image observed on II October 1988 al 10 h 42 min above the Cevcnnes <br />(gray scale in dB). <br /> <br />(quotient of the principal moments of inertia); inclination of the principal axis <br />of inertia; previous detected motion. <br /> <br />Tracked entity matching and detection of the different motions <br /> <br />The matching procedure defined in the PARAPLUIE algorithm is based on <br />our experience in trac,king rain cells using radar data. When looking at an <br />....iriini'ation of successive "t-adar images, we first detect the global motion of the <br />radar echoes on the entire image, Then, for the detection of a particular cell <br />motion, our attention focuses on the area where the radar echo detected in the <br />previous picture is expected to be. In this area, we try to isolate the radar echo <br /> <br />..t <br /> <br />FORECASTING HEAVY RAINfALL FROM RAIN CELL MOTION <br /> <br />379 <br /> <br />which could correspond to the radar echo of the preceding image, One <br />important criterion for this match is the constancy of reflectivity characteris- <br />tics between the two pictures,' particularly the median reflectivity value. <br />Finally, we look at other details such as pattern resemblance, We have <br />introduced seven criteria for evaluating our confidence in the tested match <br />between any two successive CEL echoes: two criteria related to the amplitude <br />and direction difference between the tested individual motion determined <br />from the above procedure and the mean motion established for all the CEL <br />echoes; one criterion of reflectivity difference between the two tested eEL <br />echoes; two criteria of pattern difference; one criterion of elongation <br />difference; one criterion of inclination difference, For each tested match, these <br />seven criteria are used to define the unique value of a confidence level which <br />characterizes the likelihood of this match, In this confidence level evaluation, <br />the seven matching criteria are given different weights according to their <br />position in the list above (with the first criterion being the'most important) <br />and according to their natural variability. The most important criteria are <br />those based on the difference between the tested motion and the mean motion, <br />followed by the criterion of reflectivity difference and then the two cnteria of <br />pattern difference and the two 'inertia' criteria. . <br />Therefore, to obtain realistic trajectories, the test of each matching CEL <br />echo pair is stopped whenever the' displacement of the centroid is very <br />different from the mean displacement of all CEL echoes, When the test <br />proceeds, the new position of each CEL echo is precisely obtained by a local <br />cross-correlation technique and then all the above criteria are evaluated so <br />that the tested match can be accepted or rejected, , <br />The CEL echoes tested in this matching procedure also include the union <br />of CEL echoes (Einfalt et aI., 1990) to account for mergers and splits of such <br />echoes, although these are less frequent than in the case ofT echoes, Indeed, <br />the CEL echoes are usually associated with a particular air motion regime <br />within the cloudy air and are more stable than T echoes, which can artificially <br />separate because a saddle point reflectivity value may be close to the chosen <br />threshold value. Furthermore, when a merger of CEL echoes does occur, it is <br />particularly interesting for hydrological purposes because this can lead to <br />meteorological structures such as a supercell which can produce heavy-rainfall <br />and have a lifetime of more than I h, <br />At the end of this matching procedure, the motion vector assigned to each <br />CEL echo is equal to the arithmetic average of all instantaneous speeds of the <br />same rain cell detected in the prevjous pictures, This time average value is less <br />dependent upon the small pattern differences that result from the coarse <br />spatial resolution of the radar data than the instantaneous speed would be, <br /> <br />