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A&E.-b#G $M;`Є$Fѐ=N)#܆'@D.ӊ-<= ']zZ VwV^$~K= 8uC+>Aj体oz?ZCfxEǒWjدY6 Z7[57M_%=ݾ-[riUt;wj`JvFGOMumhՇ -d]W1;Ƭ: e@K$p֎L߱P,Ό2[Pjet1]1ۡ,52rOS endstream endobj 66 0 obj<>/F 4/P 61 0 R/T(Annotation from )/Border[0 0 0]/Type/Annot/AA<>/MK<<>>>> endobj 67 0 obj[66 0 R 73 0 R 74 0 R 75 0 R 76 0 R] endobj 68 0 obj<)/P<>/S/MCD/BE<>>> endobj 69 0 obj<)/P<>>>]>>/BE<>/F 2>>>>/S/MR/SP<>>>>> endobj 70 0 obj<> endobj 71 0 obj<> endobj 72 0 obj<> endobj 73 0 obj<>/A<>/Border[0 0 0]>> endobj 74 0 obj<>/A<>/Border[0 0 0]>> endobj 75 0 obj<>/A<>/Border[0 0 0]>> endobj 76 0 obj<>/A<>/Border[0 0 0]>> endobj 77 0 obj<>/ProcSet[/PDF/Text]>>/Type/Page>> endobj 78 0 obj[60 0 R] endobj 79 0 obj<>/A<>/Border[0 0 0]>> endobj 80 0 obj[79 0 R] endobj 81 0 obj<> endobj 82 0 obj<> endobj 83 0 obj<> endobj 84 0 obj<> endobj 85 0 obj<> endobj 86 0 obj<> endobj 87 0 obj<>stream /WebCaptureCN <>BDC /Article <>BDC q 0 18 612 756 re W* n 0 0 0 rg 0 i BT /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 11.4955 0 0 11.4955 21.3488 744.7135 Tm (TechnologyReview.com)Tj ET 0.5 0.5 0.5 rg 21.349 721.066 m 21.349 722.489 l 604.884 722.489 l 604.172 721.777 l 22.06 721.777 l 22.06 721.777 l h f 0.875 0.875 0.875 rg 604.884 722.489 m 604.884 721.066 l 21.349 721.066 l 22.06 721.777 l 604.172 721.777 l 604.172 721.777 l h f 0 0 0 rg BT /T1_1 1 Tf 9.9628 0 0 9.9628 572.1488 684.0612 Tm ( )Tj ET 0 0 1 RG 0.342 w 10 M 0 j 0 J []0 d 558.194 639.23 m 572.825 639.23 l S 0 0 1 rg BT /TT0 1 Tf 7.1163 0 0 7.1163 558.1938 640.2546 Tm (Print)Tj 0 0.2 0.6 rg ( | )Tj ET 578.632 639.23 m 602.749 639.23 l S 0 0 1 rg BT /TT0 1 Tf 7.1163 0 0 7.1163 578.6318 640.2546 Tm (Forums)Tj 0 0.2 0.6 rg ( )Tj 0 0 0 rg /TT1 1 Tf 12.8093 0 0 12.8093 23.4837 621.4971 Tm (Global Warming Bombshell )Tj /T1_1 1 Tf 9.9628 0 0 9.9628 194.3086 621.4971 Tm ( )Tj /TT0 1 Tf 8.5395 0 0 8.5395 23.4837 609.4328 Tm (By Richard Muller )Tj 0.6 0.6 0.6 rg 6.4046 0 0 6.4046 93.2346 609.4328 Tm (October 15, 2004 )Tj ET q 213.4883728 0 0 9.9627838 389.2604675 592.2611847 cm /Im0 Do Q 0 0 0 rg BT /TT0 1 Tf 8.5395 0 0 8.5395 602.7488 592.2612 Tm ( )Tj ET q 213.4883728 0 0 177.9069824 389.2604675 414.3542023 cm /Im1 Do Q BT /TT0 1 Tf 8.5395 0 0 8.5395 602.7488 414.3542 Tm ( )Tj -67.833 21.144 Td ( )Tj 0 -2.683 TD ( )Tj 0 -1.1 TD (Progress in science is sometimes made by great discoveries. But science \ also advances when )Tj 0 -1.2 TD (we learn that something we believed to be true isnt. When solving a jigs\ aw puzzle, the solution )Tj T* (can sometimes be stymied by the fact that a wrong piece has been wedged \ in a key place. )Tj 0 -2.783 TD (In the scientific and political debate over global warming, the latest w\ rong piece may be the )Tj 0 -1.2 TD (hockey stick, the famous plot \(shown below\), published by University o\ f Massachusetts )Tj T* (geoscientist Michael Mann and colleagues. This plot purports to show tha\ t we are now )Tj T* (experiencing the warmest climate in a millennium, and that the earth, af\ ter remaining cool for )Tj T* (centuries during the medieval era, suddenly began to heat up about 100 y\ ears ago--just at the )Tj T* (time that the burning of coal and oil led to an increase in atmospheric \ levels of carbon dioxide.)Tj 0 -2.783 TD (I talked about this at length in my December 2003 )Tj ET 0.41 w 213.821 442.109 m 241.344 442.109 l S 0 0 1 rg BT /TT0 1 Tf 8.5395 0 0 8.5395 213.8214 443.3389 Tm (column)Tj 0 0 0 rg (. Unfortunately, discussion of this plot )Tj -22.289 -1.367 Td (has been so polluted by political and activist frenzy that it is hard to\ dig into it to reach the )Tj 0 -1.2 TD (science. My earlier column was largely a plea to let science proceed unm\ olested. Unfortunately, )Tj T* (the very importance of the issue has made careful science difficult to p\ ursue. )Tj ET q 341.5813904 0 0 192.8511658 23.4837189 201.8621063 cm /Im2 Do Q BT /TT0 1 Tf 8.5395 0 0 8.5395 23.4837 181.0329 Tm (But now a shock: Canadian scientists Stephen McIntyre and Ross McKitrick\ have uncovered a fundamental mathematical flaw in the c)Tj (omputer program )Tj T* (that was used to produce the hockey stick. In his original publications \ of the stick, Mann purported to use a standard method kn)Tj (own as principal )Tj T* (component analysis, or PCA, to find the dominant features in a set of mo\ re than 70 different climate records. )Tj 0 -2.783 TD (But it wasnt so. McIntyre and McKitrick obtained part of the program tha\ t Mann used, and they found serious problems. Not only d)Tj (oes the program not )Tj 0 -1.2 TD (do conventional PCA, but it handles data normalization in a way that can\ only be described as mistaken. )Tj 0 -2.783 TD (Now comes the real shocker. This improper normalization procedure tends \ to emphasize any data that do have the hockey stick shap)Tj (e, and to suppress )Tj 0 -1.2 TD (all data that do not. To demonstrate this effect, McIntyre and McKitrick\ created some meaningless test data that had, on average)Tj (, no trends. This )Tj T* (method of generating random data is called Monte Carlo analysis, after t\ he famous casino, and it is widely used in statistical a)Tj (nalysis to test procedures. )Tj T* (When McIntyre and McKitrick fed these random data into the Mann procedur\ e, out popped a hockey stick shape! )Tj 0 -2.783 TD (That discovery hit me like a bombshell, and I suspect it is having the s\ ame effect on many others. Suddenly the hockey stick, th)Tj (e poster-child of the )Tj 0 -1.2 TD (global warming community, turns out to be an artifact of poor mathematic\ s. How could it happen? What is going on? Let me digress)Tj ( into a short technical )Tj ET EMC EMC /WebCaptureCN <>BDC /Artifact <>BDC Q 0 0 0 rg 0 i BT /T1_1 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 6.4046 0 0 6.4046 18 782.1396 Tm (Global Warming Bombshell)Tj ET EMC /Artifact <>BDC BT /T1_1 1 Tf 6.4046 0 0 6.4046 18 9.1396 Tm (http://www.technologyreview.com/articles/04/10/wo_muller101504.asp?p=0 \(\ 1 of 2\)10/19/2005 11:10:27 AM)Tj ET EMC EMC endstream endobj 88 0 obj<> endobj 89 0 obj<> endobj 90 0 obj<>stream /WebCaptureCN <>BDC /Artifact <>BDC 0 0 0 rg 0 i BT /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 6.4046 0 0 6.4046 18 782.1396 Tm (Global Warming Bombshell)Tj ET EMC /Article <>BDC q 0 18 612 756 re W* n BT /TT0 1 Tf 8.5395 0 0 8.5395 23.4837 760.9986 Tm (discussion of how this incredible error took place. )Tj 0 -2.783 TD (In PCA and similar techniques, each of the \(in this case, typically 70\)\ different data sets have their averages subtracted \(so t)Tj (hey have a mean of zero\), )Tj 0 -1.2 TD (and then are multiplied by a number to make their average variation arou\ nd that mean to be equal to one; in technical jargon, we)Tj ( say that each data set )Tj T* (is normalized to zero mean and unit variance. In standard PCA, each data\ set is normalized over its complete data period; for ke)Tj (y climate data sets that )Tj T* (Mann used to create his hockey stick graph, this was the interval 1400-1\ 980. But the computer program Mann used did not do that.)Tj ( Instead, it forced )Tj T* (each data set to have zero mean for the time period 1902-1980, and to ma\ tch the historical records for this interval. This is th)Tj (e time when the historical )Tj T* (temperature is well known, so this procedure does guarantee the most acc\ urate temperature scale. But it completely screws up PCA)Tj (. PCA is mostly )Tj T* (concerned with the data sets that have high variance, and the Mann norma\ lization procedure tends to give very high variance to a)Tj (ny data set with a )Tj T* (hockey stick shape. \(Such data sets have zero mean only over the 1902-1\ 980 period, not over the longer 1400-1980 period.\))Tj 0 -2.783 TD (The net result: the principal component will have a hockey stick shape e\ ven if most of the data do not. )Tj 0 -2.683 TD ( )Tj 0 -1.1 TD (McIntyre and McKitrick sent their detailed analysis to )Tj /TT1 1 Tf (Nature)Tj /TT0 1 Tf ( magazine for publication, and it was extensively refereed. But their pa\ per was finally )Tj 0 -1.201 TD (rejected. In frustration, McIntyre and McKitrick put the entire record o\ f their submission and the referee reports on a )Tj ET 0 0 1 RG 0.41 w 10 M 0 j 0 J []0 d 460.136 597.932 m 499.059 597.932 l S 0 0 1 rg BT /TT0 1 Tf 8.5395 0 0 8.5395 460.1358 599.1618 Tm (Web page)Tj 0 0 0 rg ( for all to see. If you look, )Tj -51.133 -1.367 Td (youll see that McIntyre and McKitrick have found numerous other problems\ with the Mann analysis. I emphasize the bug in their PC)Tj (A program simply )Tj 0 -1.2 TD (because it is so blatant and so easy to understand. Apparently, Mann and\ his colleagues never tested their program with the stan)Tj (dard Monte Carlo )Tj T* (approach, or they would have discovered the error themselves. Other and \ different criticisms of the hockey stick are emerging \(s)Tj (ee, for example, the )Tj T* (paper by Hans von Storch and colleagues in the September 30 issue of )Tj /TT1 1 Tf (Science)Tj /TT0 1 Tf (\). )Tj 0 -2.785 TD (Some people may complain that McIntyre and McKitrick did not publish the\ ir results in a refereed journal. That is true--but not )Tj (for lack of trying. )Tj 0 -1.2 TD (Moreover, the paper was refereed--and even better, the referee reports a\ re there for us to read. McIntyre and McKitricks only fa)Tj (ilure was in not )Tj 0 -1.2 TD (convincing )Tj /TT1 1 Tf (Nature)Tj /TT0 1 Tf ( that the paper was important enough to publish. )Tj 0 -2.785 TD (How does this bombshell affect what we think about global warming?)Tj 0 -2.783 TD (It certainly does not negate the threat of a long-term global temperatur\ e increase. In fact, McIntyre and McKitrick are careful )Tj (to point out that it is hard to )Tj 0 -1.2 TD (draw conclusions from these data, even with their corrections. Did medie\ val global warming take place? Last month the consensus )Tj (was that it did not; )Tj T* (now the correct answer is that nobody really knows. Uncovering errors in\ the Mann analysis doesnt settle the debate; it just reo)Tj (pens it. We now know )Tj T* (less about the history of climate, and its natural fluctuations over cen\ tury-scale time frames, than we thought we knew.)Tj 0 -2.783 TD (If you are concerned about global warming \(as I am\) and think that hum\ an-created carbon dioxide may contribute \(as I do\), then y)Tj (ou still should agree )Tj 0 -1.2 TD (that we are much better off having broken the hockey stick. Misinformati\ on can do real harm, because it distorts predictions. Su)Tj (ppose, for example, that )Tj T* (future measurements in the years 2005-2015 show a clear and distinct glo\ bal)Tj /TT1 1 Tf ( cooling)Tj /TT0 1 Tf ( trend. \(It could happen.\) If we mistakenly took the hockey stick )Tj 0 -1.201 TD (seriously--that is, if we believed that natural fluctuations in climate \ are small--then we might conclude \(mistakenly\) that the )Tj (cooling could not be just a )Tj 0 -1.2 TD (random fluctuation on top of a long-term warming trend, since according \ to the hockey stick, such fluctuations are negligible. A)Tj (nd that might lead in turn )Tj T* (to the mistaken conclusion that global warming predictions are a lot of \ hooey. If, on the other hand, we reject the hockey stick)Tj (, and recognize that natural )Tj T* (fluctuations can be large, then we will not be misled by a few years of \ random cooling.)Tj 0 -2.783 TD (A phony hockey stick is more dangerous than a broken one--if we know it \ is broken. It is our responsibility as scientists to loo)Tj (k at the data in an unbiased )Tj 0 -1.2 TD (way, and draw whatever conclusions follow. 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