Date: Mon, 19 Nov 2001 11:31:53 -0800 To: chiara cagnazzo From: Mike Wallace Subject: Re: a question Cc: mitchell@atmos.washington.edu Dear Chiara, Thanks for sending a copy of the data. It will enable us to check your calculations. The simplest way to get the EOF's and the two principal component (PC) time series that you want is perform singular value decomposition (svd) on the data matrix (70,50,40,30,20,15,10 hPa since 1953 to 2000). One of the matrices obtained from svd will be the PC's; one will be the EOF's and one will be the eigenvalues (or the squares of the eigenvalues). You can recognize which matrix is which from their dimensions. We use Matlab for this calculation, but there are programs that perform svd in in many software packages. Your results will be slightly different from the ones in our paper because you won't be standardizing the zonal wind data at each level like we did, but I think your results will be just as good as ours and maybe even a little better. After you get the results we can advise you on next steps. Mike >Content-Type: TEXT/plain; charset=ISO-8859-1 >Content-MD5: o0UFlRrb+uMI9zAtBiVpsg== > >Dear Mike, >As promised, I've the updated monthly QBO time series (you'll find them as an >attached file). I'd like to calculate by myself the two EOFs projections but >I've never done it before so it's a good way to learn, as you suggested! >In this case, I think your advises will be very important. > >File 'QBO121.dat' is the QBO at 70,50,40,30,20,15,10 hPa since 1953 to 2000 >First column represents the location (each number corresponds to a WMO >location). >Second column is the year and month (yymm) >Third to ninth: winds (with sign) as a 'i5' integer. Data are in [0.1 m/s] so, >if you need winds in m/s you have to divide them by 10. > >An example to read the file is the following fortran code: 'Read_QBO.f'; it >opens the file, read the data and put them (in m/s) in a variable (named c) as >function of year, month, level. Then, as example, it prints the >month, the year >and the values of 10 hPa level. > >I add the 'QBO_update' file which contains the values for 2001 > >If you have any problem in opening/reading the files, I can put them >in the text >of mail. > >Thanks again for your time, >Chiara > > >> Mime-Version: 1.0 >> Date: Tue, 30 Oct 2001 15:06:39 -0800 >> To: chiara cagnazzo >> From: Mike Wallace >> Subject: Re: a question >> >> Dear Chiara, Thanks for your letter describing your recent research >> relating to the QBO and its possible relation to the AO. I'm familiar >> with Mark Baldwin's recent Science paper. Dave Thompson and Mark >> Baldwin and I have another paper relating the QBO and the strength of >> the polar vortex at 10-hPa to extreme cold weather at the earth's >> surface--- you can view it in the 'new papers' on Dave's AO web site. >> >> I like the EOF representation of the QBO, but unfortunately I don't >> have an updated time series. If you get updated time series of >> equatorial zonal wind at 10, 15, 20, 30, 40 50 and 70-hPa from >> Barbara Naujokat, it would be easy to do the EOF analysis. We could >> even do it for you with a simple exchange of e-mail or, >> alternatively, we could advise you on how to do it for yourself and >> learn about EOF analysis in the process. Getting the data is 99% of >> the work! >> >> Mike >> -- >> _______________________________________________________ >> _______________________________________________________ >> >> John M. Wallace Mail: >> Phone: (206) 543-7390 JISAO, Box 354235 Univ. of Washington >> Fax: (206) 685-3397 Seattle, WA 98195 >> >> Exp. Mail: JISAO 1st Floor; 4909 25th Ave. NE; Seattle, WA 98195 > > > > >############################## >Chiara Cagnazzo, >LMD, Ecole Polytechnique >Route Départementale 36 >91128 Palaiseau Cedex (France) >Tel: +33 (0)1 6933 3623 >Fax: +33 (0)1 6933 3005 >cagnazzo@araf1.lmd.polytechnique.fr > > > >Content-Type: TEXT/plain; name="QBO121.dat"; charset=us-ascii; >x-unix-mode=0644 >Content-Description: QBO121.dat >Content-MD5: OqeVs4Kx6XbtUpRCTeDUUw== > >91700 5301 -6099 4099 15099 22099 10099 1099 99999 >91700 5302 -299 6099 18099 21099 4099 -6099 99999 >91700 5303 5099 7599 17599 19099 -1099 -10099 99999 >91700 5304 7599 9099 17099 14099 -6099 -16099 99999 >91700 5305 9599 11099 18599 11099 -12099 -21099 99999 >91700 5306 135 5 164 5 16599 8099 -17099 -22099 99999 >91700 5307 110 155 111 7099 -20099 -24099 99999 >91700 5308 75 3 13099 11099 5099 -21099 -26099 99999 >91700 5309 22 122 7 123 5 28 1 -223 1 -26099 99999 >91700 5310 70 112 79 7 1099 -22099 -25599 99999 >91700 5311 125 5 158 2 135 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>48694 8507 46 94 108 100 131 98 -54 >48694 8508 42 87 119 85 99 82 -67 >48694 8509 57 114 127 93 76 71 -115 >48694 8510 68 114 136 100 7 -15 -197 >48694 8511 53 113 135 102 -104 -128 -224 >48694 8512 15 103 141 119 -156 -242 -207 >48694 8601 21 115 152 152 -69 -276 -252 >48694 8602 37 124 163 148 -25 -237 -313 >48694 8603 61 119 147 142 -124 -293 -347 >48694 8604 53 130 147 106 -255 -322 -356 >48694 8605 94 127 134 -42 -306 -323 -346 >48694 8606 102 94 60 -194 -319 -330 -368 >48964 8607 86 92 28 -232 -317 -335 -353 >48694 8608 50 90 10 -229 -333 -355 -383 >48694 8609 64 88 15 -234 -331 -355 -374 >48694 8610 95 91 2 -241 -330 -344 -348 >48694 8611 78 70 -69 -254 -328 -350 -205 >48694 8612 43 48 -84 -267 -317 -364 -130 >48694 8701 57 39 -86 -260 -326 -374 -164 >48694 8702 61 32 -113 -266 -307 -356 -167 >48694 8703 22 19 -171 -271 -311 -331 -144 >48694 8704 -4 -74 -236 -270 -328 -350 -35 >48694 8705 -2 -192 -266 -268 -295 -45 116 >48694 8706 -74 -231 -273 -247 -11 60 82 >48694 8707 -145 -267 -281 -63 93 108 45 >48694 8708 -148 -224 -14 92 124 145 116 >48694 8709 -133 -62 91 138 145 145 140 >48694 8710 -115 68 113 117 133 139 144 >48694 8711 -37 83 93 77 124 147 116 >48694 8712 -2 66 78 57 86 106 145 >48694 8801 7 91 91 54 89 101 66 >48694 8802 49 77 95 46 12 5 -43 >48694 8803 20 74 100 78 -53 -158 -89 >48694 8804 19 68 94 70 -150 -215 -147 >48694 8805 22 92 123 50 -258 -281 -210 >48694 8806 61 98 105 -23 -297 -274 -243 >48694 8807 60 105 96 -102 -302 -309 -245 >48694 8808 57 103 99 -63 -327 -372 -312 >48694 8809 53 104 94 -50 -334 -373 -346 >48694 8810 54 100 93 -81 -321 -371 -341 >48694 8811 58 106 110 -101 -306 -334 -180 >48694 8812 23 120 136 -99 -306 -335 -122 >48694 8901 68 117 118 -84 -328 -353 -244 >48694 8902 37 102 109 -40 -310 -339 -348 >48694 8903 41 117 124 -38 -303 -359 -366 >48694 8904 67 100 97 -150 -323 -353 -378 >48694 8905 77 92 -20 -250 -327 -347 -329 >48698 8906 58 -3 -172 -281 -338 -367 -128 >48698 8907 42 -36 -231 -306 -363 -346 -17 >48698 8908 36 -58 -238 -300 -350 -91 34 >48698 8909 41 -119 -239 -310 -346 -76 35 >48698 8910 3 -152 -250 -307 -235 12 84 >48698 8911 -20 -166 -239 -306 -95 73 157 >48698 8912 3 -184 -248 -282 127 218 212 >48698 9001 -14 -214 -292 -42 131 173 149 >48698 9002 -81 -210 -265 -32 146 192 157 >48698 9003 -31 -221 -81 109 181 212 182 >48698 9004 -81 -142 49 124 166 181 154 >48698 9005 -109 22 85 124 136 120 64 >48698 9006 -50 118 122 152 172 130 48 >48698 9007 12 86 94 131 118 82 -2 >48698 9008 19 78 110 135 134 108 -75 >48698 9009 32 95 123 130 143 129 -30 >48698 9010 60 70 116 109 139 103 -133 >48698 9011 76 104 132 110 110 14 -252 >48698 9012 56 79 120 134 25 -107 -284 >48698 9101 26 60 100 114 7 -159 -283 >48698 9102 63 106 106 127 44 -157 -302 >48698 9103 52 50 72 105 10 -193 -315 >48698 9104 57 70 101 92 -182 -240 -312 >48968 9105 79 90 67 -67 -256 -260 -305 >48968 9106 71 35 -24 -209 -286 -300 -318 >48968 9107 52 -21 -100 -250 -293 -310 -347 >48968 9108 24 -30 -128 -231 -287 -293 -332 >48698 9109 34 -16 -134 -215 -288 -278 -292 >48698 9110 38 -08 -121 -222 -269 -288 -169 >48698 9111 27 -12 -148 -242 -275 -235 91 >48698 9112 36 -20 -175 -253 -268 -40 209 >48698 9201 -05 -21 -160 -253 -289 -33 161 >48698 9202 47 -10 -171 -254 -299 -15 170 >48698 9203 -11 -09 -183 -260 -289 03 173 >48698 9204 26 -48 -217 -262 -250 78 161 >48698 9205 12 -159 -235 -275 -42 110 101 >48698 9206 -32 -214 -296 -268 66 115 42 >48698 9207 -76 -243 -306 -79 79 90 56 >48698 9208 -100 -259 -273 08 153 171 143 >48698 9209 -90 -253 -96 75 159 176 167 >48698 9210 -96 -239 -05 112 160 162 175 >48698 9211 -112 -90 74 141 189 194 216 >48698 9212 -105 44 137 176 189 184 169 >48698 9301 -24 74 134 155 178 171 145 >48698 9302 -23 86 148 164 208 214 138 >48698 9303 21 78 133 170 190 201 68 >48698 9304 55 91 135 112 121 124 -126 >48698 9305 88 118 120 108 -52 -158 -268 >48698 9306 95 100 126 48 -226 -291 -295 >48698 9307 57 86 107 -10 -258 -316 -308 >48698 9308 43 83 92 -8 -280 -316 -320 >48698 9309 32 103 98 -44 -316 -326 -340 >48698 9310 71 89 81 -111 -301 -340 -331 >48698 9311 92 103 3 -205 -311 -344 -329 >48698 9312 67 83 -6 -240 -300 -327 -268 >48698 9401 51 84 -30 -251 -315 -315 -348 >48698 9402 47 66 -21 -265 -315 -313 -349 >48698 9403 92 74 -76 -291 -319 -334 -351 >48698 9404 83 34 -166 -298 -332 -352 -376 >48698 9405 86 -97 -256 -318 -336 -364 -218 >48698 9406 -14 -211 -282 -328 -349 -262 57 >48698 9407 -72 -248 -303 -338 -293 -38 85 >48698 9408 -95 -269 -314 -336 -48 72 115 >48698 9409 -120 -278 -310 -271 86 144 137 >48698 9410 -96 -280 -236 -09 117 143 157 >48698 9411 -110 -243 -32 109 160 178 184 >48698 9412 -70 -64 51 167 190 199 185 >48698 9501 -15 26 134 178 174 183 196 >48698 9502 -06 25 71 115 112 79 102 >48698 9503 -40 48 49 86 111 63 64 >48698 9504 -25 58 61 110 152 107 -35 >48698 9505 41 112 113 155 148 36 -238 >48698 9506 35 120 130 151 102 -127 -285 >48698 9507 86 106 109 125 16 -195 -322 >48698 9508 87 99 85 72 -28 -211 -359 >48698 9509 65 102 69 34 -66 -209 -335 >48698 9510 68 102 58 -32 -134 -216 -308 >48698 9511 47 97 46 -131 -191 -195 -278 >48698 9512 58 98 38 -169 -232 -208 -181 >48698 9601 58 86 25 -183 -261 -267 -277 >48698 9602 65 87 33 -202 -283 -279 -307 >48698 9603 44 83 01 -239 -321 -286 -322 >48698 9604 62 89 -85 -277 -328 -331 -311 >48698 9605 71 -10 -219 -307 -333 -369 -307 >48698 9606 63 -140 -281 -330 -345 -360 -16 >48698 9607 19 -190 -286 -325 -353 -318 -16 >48698 9608 -24 -199 -303 -346 -359 -193 41 >48698 9609 -23 -207 -305 -355 -259 23 96 >48698 9610 -32 -223 -299 -349 -42 102 160 >48698 9611 -72 -203 -294 -284 41 199 228 >48698 9612 -31 -199 -295 -56 179 208 186 >48698 9701 -59 -185 -239 22 154 176 187 >48698 9702 -05 -183 -133 100 152 170 198 >48698 9703 -87 -192 -39 106 171 186 205 >48698 9704 -54 -36 95 151 180 194 206 >48698 9705 -76 35 120 151 170 169 175 >48698 9706 -24 118 133 167 173 164 131 >48698 9707 90 137 126 141 125 92 18 >48698 9708 90 137 133 114 117 73 -49 >48698 9709 95 122 112 97 114 78 -149 >48698 9710 73 99 122 75 32 -20 -242 >48698 9711 63 122 124 15 -104 -101 -245 >48698 9712 33 68 114 -49 -200 -132 -229 >48698 9801 20 80 138 -50 -235 -192 -176 >48698 9802 39 103 128 -57 -267 -250 -193 >48698 9803 29 82 106 -127 -310 -270 -247 >48698 9804 96 103 -34 -253 -303 -306 -299 >48698 9805 68 -60 -226 -280 -303 -334 -292 >48698 9806 30 -172 -262 -297 -316 -342 -22 >48698 9807 08 -214 -278 -308 -324 -195 47 >48698 9808 -12 -230 -290 -321 -224 30 147 >48698 9809 -35 -237 -314 -311 -11 106 130 >48698 9810 -30 -231 -325 -292 92 125 161 >48698 9811 -87 -238 -327 -68 162 204 228 >48698 9812 -71 -139 -226 70 209 214 193 >48698 9901 -65 -237 -69 99 153 137 126 >48698 9902 -78 -167 46 131 199 219 128 >48698 9903 -57 3 70 98 105 116 66 >48698 9904 -39 50 104 140 172 162 108 >48698 9905 13 52 99 126 129 100 8 >48698 9906 44 101 121 137 121 52 -194 >48698 9907 50 85 83 111 70 -5 -201 >48698 9908 32 100 97 110 65 -3 -221 >48698 9909 35 100 95 101 58 -23 -230 >48698 9910 40 125 119 91 -22 -144 -259 >48698 9911 42 110 111 47 -95 -204 -254 >48698 9912 32 122 125 61 -186 -237 -255 >48698 0001 62 123 127 74 -232 -270 -298 >48698 0002 48 124 129 95 -223 -301 -307 >48698 0003 46 134 137 113 -227 -337 -314 >48698 0004 60 127 128 61 -304 -348 -343 >48698 0005 92 140 111 -71 -333 -361 -372 >48698 0006 106 143 57 -227 -343 -384 -358 >48698 0007 92 127 19 -282 -363 -374 -218 >48698 0008 88 124 02 -294 -353 -386 -238 >48698 0009 76 112 -01 -288 -357 -387 -308 >48698 0010 62 70 -61 -275 -369 -369 -280 >48698 0011 35 52 -78 -253 -357 -381 -43 >48698 0012 -06 40 -86 -259 -328 -358 43 > >Content-Type: TEXT/plain; name="Read_QBO.f"; charset=us-ascii; >x-unix-mode=0644 >Content-Description: Read_QBO.f >Content-MD5: hfXDRAqNgFxkK2ms1HIO2A== > > program read_QBO > > dimension c(12,1953:2001,7) > integer iiyy,iimm > integer iv70,iv50,iv40,iv30,iv20,iv15,iv10 > > open(11,file='QBO121.dat',status='old') >221 continue > read(11,532,end=222)iiyy,iimm,iv70,iv50,iv40,iv30,iv20,iv15,iv10 >532 format(6x,i2,i2,x,7(I5,2x)) > if(iiyy.eq.00) then > iiyy=2000 > else > iiyy=iiyy+1900 > endif > c(iimm,iiyy,1)=float(iv70)/10. > c(iimm,iiyy,2)=float(iv50)/10. > c(iimm,iiyy,3)=float(iv40)/10. > c(iimm,iiyy,4)=float(iv30)/10. > c(iimm,iiyy,5)=float(iv20)/10. > c(iimm,iiyy,6)=float(iv15)/10. > c(iimm,iiyy,7)=float(iv10)/10. > > write(*,*)iimm,iiyy,c(iimm,iiyy,7) > GOTO 221 >222 continue > close(11) > end > >Content-Type: TEXT/plain; name=QBO_update; charset=us-ascii; x-unix-mode=0644 >Content-Description: QBO_update >Content-MD5: hP0BSYE8OlBR/zL8wxGXCA== > >Monthly mean zonal wind components ( 0.1 m/s) >at Singapore (48698), 1N/104E > >2001 >hPa JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC > 10 28 -69 -15 62 109 41 14 50 87 129 > 12 -75 -221 -179 -46 63 61 62 80 91 130 > 15 -327 -361 -358 -282 -46 21 89 77 97 132 > 20 -321 -311 -322 -344 -352 -255 -35 39 74 106 > 25 -298 -304 -309 -317 -328 -363 -344 -173 -48 52 > 30 -284 -272 -269 -309 -318 -331 -349 -354 -307 -136 > 35 -200 -185 -164 -225 -281 -298 -318 -319 -322 -304 > 40 -65 -63 -50 -91 -198 -237 -268 -278 -284 -286 > 45 09 21 29 15 -91 -177 -215 -230 -255 -254 > 50 59 51 56 52 -05 -80 -158 -184 -202 -199 > 60 52 34 39 54 44 -01 -50 -97 -87 -87 > 70 07 22 -30 17 42 55 -04 -54 -31 -50 > 80 -49 15 -59 -35 -03 46 03 -33 -32 -59 > 90 -95 -35 -54 -77 -35 -11 -55 -23 -91 -77 >100 -184 -164 -67 -72 -81 -118 -139 -87 -169 >-- -- _______________________________________________________ _______________________________________________________ John M. Wallace Mail: Phone: (206) 543-7390 JISAO, Box 354235 Univ. of Washington Fax: (206) 685-3397 Seattle, WA 98195 Exp. Mail: JISAO 1st Floor; 4909 25th Ave. NE; Seattle, WA 98195