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<br />.~ <br /> <br />98 <br /> <br />. <br /> <br />have laboratory-tested models which orchestrate our <br />understanding of these clouds and predict the outcome <br />of seeding them. Glaciogenic seeding materials added to <br />other types of clouds undoubtedly result in additional <br />ice crystals when these materials are carried to, or are <br />injected into, supercooled regions. But convective clouds, <br />which produce most of the world's rainfall, are enor- <br />mously more complex than are the stratus clouds where <br />seeding effects are so clear. In my opinion, we do not yet <br />know enough about large convective clouds to permit us <br />to build numerical models for quantitative predictions <br />of rain from them or for qualitative predictions of the <br />effects of seeding them. Much of our current knowledge <br />about natural precipitation, and ways in which clouds <br />are affected by seeding, has come from experiments in <br />which cloud seeding was coupled with detailed study of <br />the clouds which made up the experiment. This should <br />be the thrust of our research for some time to come. <br />The discussants seem to agree that weather modifica- <br />tion is an important and challenging subject in mete- <br />orology, the study of which requires good statistics in all <br />four stages of experimentation. No one seems to object <br />to my call for increased involvement by statisticians as <br />working partners in meteorological projects. However, <br />Professor Gabriel suggests that a somewhat more inde- <br />pendent role may be required during the data gathering <br />and confirmatory analysis phases. <br />Issues regarding appropriate designs for weather modi": <br />fication experiments are found in almost every discussion. <br />Many discussants speak of exploratory and confirmatory <br />experiments, a distinction that has only recently become <br />common in meteorological literature in spite of the fact <br />that it was a topic of discussion at the 1959 Skyline <br />Conference. <br />Professor Neyman very usefully calls our attention to <br />certain features of the natural rainfall distributions, and <br />to the need for focusing separately on the likelihood of <br />precipitation, and on the amount of precipitation, in <br />designing seeding experiments. His points are well taken. <br />He points out the problem resulting from a few very <br />large storms or "outliers." Professor Simpson indicates <br />that most of the evidence for seeding effects in FACE I <br />came from a few of these "blockbuster" storms. The dis- <br />cussion by Cook and Holschuh on unit additivity is also <br />very germane. A similar discussion of these matters can <br />be found in Flueck (1971). <br />The matter of Type 1 errors surfaces several times, <br />either explicitly or implicitly. As I mentioned in my <br />original article, this issue has prevented an unambiguous <br />interpretation of Whitetop results. Professor Mielke re- <br />ports a similar situation in the Climax experiment and in <br />one of the South Dakota projects. The wide-ranging <br />differences among these projects (types of clouds, area, <br />details of seeding, personnel, etc.) make one wonder <br />whether we are facing a meteorological issue or a sta- <br />tisticalone (multiple analyses?) or a combination of both. <br />It is very helpful to have the many remarks about <br />multiplicity. Perhaps never before has this topic been so <br /> <br />,.._....:i;~."l.~ ,....u.;~<~"kk.... "~ <br /> <br />i.._~-".j <br /> <br /> <br />Journal elf the Americlln Statistical Association, March 1979 <br /> <br />clearly illufilinated in writings which are likely to be seen <br />and 1Ilsed by meteorologists. I thank each of the discus- <br />sants, for their views on this topic. Multiplicity arises <br />both in the context of explora~ry-st!l.ge analysis of ran- <br />domized experiments and in the 8.nalysis of nonran- <br />domized data. As far as weather modification is con- <br />cerned, I veJ;lture Il. guess that it has tripped more toes in <br />the 8.nalysis of randomized experiments than in the non- <br />randomized ones. The greater availability of data, and <br />the Jtact that it i.s randomized, have prompted more <br />exploratory studies of randomized experiments. In any <br />event, the message that comes through is that multiple <br />analyses follow naturally in large, complex experiments, <br />that significance tests are needed to help assess the pos- <br />sibility of chance eausation of various results, and that; <br />except for a very limited number of tests specified before- <br />hand, the computed levels of significance are not ap- <br />plicable in the usual way and must be used with care. <br />Some of these discussions seem to call for additional <br />details about the Whitetop design and objectives. Most <br />of this is already f~vailable in Braham (1966) and other <br />project reports, but I will give a few additional points. <br />The l&rst document was a proposal dated 15 August 1958, <br />by n.R. Byers, University of Chicago, to the National <br />Science Foundation. A few sentences from that proposal <br />are of special interest: <br /> <br />The seeding will be carried out on randomly selected days of <br />convective cloud development. The physical characteristics of <br />the seeded clouds . .. will be measured . . . and contrasted with <br />similar measurements made in clouds over a control area. <br />The Department of Statistics at the University of Chicago will <br />assist in the design. . . of the experiment,. <br />n must be realized that... the result may be negative even <br />though cloud seeding, properly carried out, might have a positive <br />elffect. For example, in an attempt to create "an effect," one <br />might cause an overseeded condition to prevail in the seeded <br />clouds. This might inhibit precipitation formation. However, <br />even this effect, if it could be positively demonstrated, would be <br />a contribution to knowledge since at present we do not know <br />whether adding silver-iodide will correct, a natural shortage or <br />create an oversupply. . <br /> <br />In due course a site was selectE~d in south-central <br />Missouri, and I assumed responsibilities as Principal <br />Investigator. During the design phase of the project, I <br />reported to NSF that: <br /> <br />the objective..; is to identify and isolate physical processes <br />8I!I8ociated with the production of rain in summer convective <br />cIlouds, and to study the ways in which these processes are <br />modified as a consequence of seeding the clouds with silver <br />iodide. <br /> <br />The primary measurement tool will be the radar which will be <br />operated during the entire period of interest on both seeded and <br />non-seeded days. <br /> <br />A second means for studying effects will be surface rainfall <br />measurements collected from a network of recording rain gages. <br />Inasmuch as all supervisory personnel in the University of <br />Chicago Project will have access to the dates on which seeding <br />&ctivities will be carried out, it is believed unwise to carry out <br />the rain gage analysis within the Project office. It is anticipated <br />that a qualified independent group will be secured to perform <br />the analysis of the basic rain gage date. .. (Braham 1960). <br /> <br />From the beginning of Whitetop, we stressed the necessity <br />