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<br />. <br /> <br />12 <br />Passarelli (1978) developed an approximate analytical model of <br />depositional and aggregational growth of snowflakes by assuming the <br />snow-size distribution to be always exponential. Passarelli showed <br />analyt ically that exponential snow-si ze distr ibutions in a <br />steady-state heterogeneous cloud tends to an equilibrium that is <br />independent of the parameters of the ini tial exponential <br />distribution. The model of La and Passarelli (1982) considered <br />the three-parameter gamma distribution to study the: snow-size <br />distribution. The physical processes represented in this model <br />were vapor deposition, sedimentation due to particle differential <br />fall speed, aggregation and colI isional breakup. The model <br />assumed steady-state precipitation thus eliminating all time <br />derivatives. The results from the model were compared with <br />airborne observational data which indicated collisional breakup to <br />be important in shaping snow-size distribution. The model <br />predicted that snow growth passed through three distinct stages, <br />where each of the processes: vapor deposition, aggregation and <br />collisional breakup, in turn, dominated. <br />Sasyo (1971) demonstrated the importance of relative <br />horizontal motions and fall stabil i ties on the initiation of <br />aggregation. Shafrir (1965) showed that horizontal motions could <br />significantly increase the collection efficiency for coalescence <br />of drops. Shafrir' s conclusion would seem to apply to aggregation <br />as well. Considering the importance of the horizontal motions in <br />addi tion to the differential terminal velocities of crystals to <br />aggregation, Heymsfield (1986) developed an aggregation model to <br /> <br />. <br /> <br />e <br /> <br />. <br /> <br />. <br /> <br />e. <br /> <br />. <br /> <br />e- <br /> <br />. <br /> <br />. <br /> <br />e <br /> <br />. <br /> <br />., <br />