RELATION OF INDEX PATTERNS TO FALLOUT PEAKS 465 that the stratosphere provides the debris source for these maximums.!,4 As a result of the higher static stabilities and lack of precipitation ‘scavenging in the stratosphere, much longer mean particle residence times -would be expected in this region than in the troposphere. At present, a plausible estimate of mean residence time is five years for the tropical stratosphere and one year or less for the polar stratosphere.° It is thus reasonable to assume that the stratosphere is the probable debris source for these seasonal oscillations in surface fallout intensity. With this assumption the problem of explaining the seasonal fallout variations now becomes one of understanding the physical processes that lead to an exchange of mass between the stratosphere and tropo- sphere. It has been suggested by several authors®® that the transport of mass and radioactive debris downward from the stratosphere is associated with extratropical cyclones. Staley’ demonstrates that this type of mass exchange occurs as a discrete intrusion and hence results in the transport of large amounts of contaminated air into the troposphere. It has been further hypothesized that the sinking is associated with cyclogenetic processes at tropopause level and leads to the occurrence of individual shorter period surface fallout peaks.'° More- recent research’! has in part verified this hypothesis and also revealed that this sinking process is characterized by extremely strong vorticity advection and mass convergence. Because of the apparent dependence of individual fallout maximums upon upper tropospheric cyclones, one may inquire whether the fluctuations in mean seasonal fallout are thusa result of yearly changes in cyclonic activity. A proposed way to partially examine this will be to develop an index parameter that describes the relative amount of tropopause-level cyclonic activity in the middle latitudes and compare the seasonal variations of the index with those of the mean fallout intensity. DEVELOPMENT OF THE CYCLONE INDEX Some of the initial attempts toward the development of a simple quantitative description of the state of atmospheric flow ata given level were begun by Rossby’? and Allen ef al.'* These efforts to produce numerical indexes that would reduce the complexities of atmospheric motions resulted in the well-known zonal index. The concept of utilizing this index to describe atmospheric motions on a global basis has proved to be exceedingly valuable in many areas of atmo- spheric research. However, for more specialized problems, this index fails to provide a sufficiently reliable description of the state of atmo- spheric motions.'4:!5 Also, if hand computation is necessary, the time required to calculate a series of index values may be prohibitive.

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