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<br />Dawkins and Scott: Field Experimentation in Weather Modification
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<br />We first studied White top as a basis for further ex-
<br />amination of hypotheses developed in our studies of the
<br />long-term Swiss experiment Grossversuch III, on such
<br />topics as what type of seeding day will lead to increases
<br />in precipitation ascribable to seeding and what types of
<br />days tend to lead to decreases, the effect of the part of
<br />the storm that is seeded, and extended-area and extended-
<br />time effects. In this phase of study, the cooperation of
<br />meteorologists and statisticians is vital-to search out
<br />hypotheses in the earlier experiments (such as Gross-
<br />versuch III), to put these hypotheses in a form that is
<br />meaningful to cloud physicists, and to test the derived
<br />hypotheses on data from an independent experiment such
<br />as Whitetop. The method of seeding, the orographic
<br />situation, the collection of physical observations, and
<br />other details were different in Grossversuch III and in
<br />Whitetop, so only some of the earlier hypotheses could be
<br />tested. Still, one can hope that comparing the predictions
<br />of similar hypotheses in rather different situations would
<br />provide additional meteorological insight.
<br />Furthermore, the Whitetop experiment is very in-
<br />teresting in itself, as Braham points out, deserving in-
<br />tensive study, especially because randomized weather
<br />modification experiments were (and still are) very rare
<br />and also expensive in time, effort, and money.
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<br />2. THREE MECHANISMS OF CLOUD SEEDING EFFECT
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<br />From the practical viewpoint, we first studied fixed-
<br />target effects, trying to assess whether there is more or
<br />less "water behind the dam" ascribable to seeding. As in
<br />our previous studies (Neyman and Scott 1967a), we
<br />looked separately at the two possible mechanisms whereby
<br />seeding may have an effect: seeding may alter the prob-
<br />ability of rain occurring and, given that there is rain,
<br />seeding may alter the amount of precipitation that falls
<br />to the ground. We also looked at the combined effect of
<br />these two mechanisms on the amount of precipitation per
<br />experimental day. In Section 3 of his article, Braham
<br />mentions the two possibilities, but his precipitation
<br />analyses (Braham 1966) and those joint with Flueck
<br />(1970, also Flueck 1971) concentrated on the amount of
<br />rain per experimental period of various lengths. We have
<br />used the locally optimum asymptotic test for each
<br />hypothesis, taking into account the extreme skewness of
<br />the distribution of precipitation per rainy day and the
<br />positive probability of no precipitation on an experi-
<br />mental day. This test is designed (Neyman and Scott
<br />1967b) to be most powerful against (i) binomial-like
<br />changes in the probability of precipitation given that the
<br />probability of seeding is one-half, and (ii) multiplicative
<br />changes in the expected amount of rain per rainy day.
<br />Under the additional assumption that the natural dis-
<br />tribution of precipitation can be approximated by a
<br />gamma distribution, the alternative of multiplicative
<br />changes implies that seeding will cause at most a change
<br />in the scale parameter, not affecting the shape parameter.
<br />Monte Carlo studies on the theoretical and actual dis-
<br />tribution of rainfall indicate that this locally optimum
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<br />71
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<br />C(a) test is more powerful as well as more valid than the
<br />standard techniques employed by Braham and by Flueck.
<br />Thus, it is not surprising that we find more significant
<br />results than Braham finds even in the same situation. In
<br />such lengthy and expensive experiments, it is important
<br />to employ the most powerful tests available and to test
<br />all the hypotheses stated to be of interest (the triple
<br />hypothesis).
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<br />3. WHITETOP EXPERIMENT
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<br />The Whitetop target was a circular area 60 miles in
<br />radius. In order to check the hypothesis of extended-area
<br />effects, we considered a circle A of 30 miles radius, then
<br />the ring B from 30-60 miles, and the ring C from 60-90
<br />miles, as shown in Figure A, reproduced from Neyman
<br />
<br />A. Schematic Diagram of Target Area A + Band
<br />Concentric Rings, Each 30 Miles Wide (Location of
<br />253 Rain Gages Indicated by Dots)
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<br />Sou,", Neyman and Scott (lV73)
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<br />and Scott (1973). The solid dots indicate the location of
<br />rain gages. Our conclusions from the rain gage observa-
<br />tiOll.!1 indicated a strong negative effect ascribable to .
<br />seeding in each of the three subareas A, B, and C.
<br />We immediately extended our studies to three more
<br />rings D, E, and F, each of 30 miles width, and found that
<br />the negative effect of seeding appeared to persist, al-
<br />though less strongly, over the entire area studied (see
<br />Figure B). In our first study (Neyman, Scott, and Wells
<br />19691), we located 127 stations providing 24-hour pre-
<br />cipitation amounts with period ending around 8 A.M.
<br />before seeding started. The estimated 19 percent de-
<br />crease in rainfall over the l00,OOO-square-mile area was
<br />very surprising even though not quite significant. From
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