Series de Tiempo

#datos San_Juan_Training_Data
library(readr)
sanjuan_dengue <- read_csv("San_Juan_Training_Data.csv")
## Parsed with column specification:
## cols(
##   season = col_character(),
##   season_week = col_integer(),
##   week_start_date = col_date(format = ""),
##   denv1_cases = col_integer(),
##   denv2_cases = col_integer(),
##   denv3_cases = col_integer(),
##   denv4_cases = col_integer(),
##   other_positive_cases = col_integer(),
##   additional_cases = col_integer(),
##   total_cases = col_integer()
## )
#crear objeto ts
tsdengue <- ts(sanjuan_dengue$total_cases, start = c(1990, 4), end = c(2009, 4), frequency = 52)
tsdengue
## Time Series:
## Start = c(1990, 4) 
## End = c(2009, 4) 
## Frequency = 52 
##   [1]   4   5   4   3   6   2   4   5  10   6   8   2   6  17  23  13  21
##  [18]  28  24  20  40  27  42  33  43  37  57  71  44  56  53  52  47  26
##  [35]  27  21  21  26  34  37  17  19  25  18  21  17  17  16  16  15  23
##  [52]  16  17  12  17  10  15  19  21  14  18  13  14  18  23  25  62  60
##  [69]  76  66  64  68  89  92 140 116 142 129 140 140 127 129 169 141 108
##  [86]  78  70  81 104  90  85  55  53  65  33  38  59  40  37  29  30  30
## [103]  28  23  24  29  26  23  20  19  20  26  29  31  28  26  32  35  33
## [120]  30  52  59  67  65  74  70  61  53  76  61  57  44  34  47  60  60
## [137]  53  36  31  30  32  28  33  33  35  22  13  13  21  17  11   8   8
## [154]   6   6   7  12  17  10  10  18  19  12  22  12  21  18  16  16  22
## [171]  17  25  23  12  25  28  27  18  23  23  29  38  36  43  46  31  25
## [188]  40  31  38  30  22  31  26  35  36  39  25  31  37  33  25  24  18
## [205]  23  13  18  14  17  22  13  24  31  34  31  31  38  49  42  49  55
## [222]  80  84  72  89 115 179 202 272 302 395 426 461 381 333 353 410 364
## [239] 359 288 221 149 112 154  91  72  56  46  37  26  17  17  20  11   7
## [256]  16  14  16   5   2   6   5   4   3   4  16   8   7  10  14   7   9
## [273]  11  23  17  19  24  17  28  40  33  31  33  29  30  36  48  40  28
## [290]  36  19  34  23  17  17  23  14  20  13  23  20  16  16  23  14  15
## [307]   4   5   5  11  11   7   4   6   5   2   4   2   4   6   6   4   6
## [324]  11  16   9  12  13  27  21  19  17  24  27  30  29  25  35  33  30
## [341]  29  31  29  22  27  24  26  29  22  33  24  30  20  17  24  28  18
## [358]  13   9  14  11  11  19  10   8   8   9   3   7  14   4   9  14   7
## [375]   9   3   3  14  12  10  21  26  47  42  31  34  33  52  56  70 112
## [392]  70  47  48  49  66  56  61  67  64  68  49  50  56  75  63  62  41
## [409]  50  34  31  38  30  32  26  30  36  35  46  48  44  51  59  71 102
## [426] 128 127 150 191 256 329 263 220 204 181  99  54  80 102 127  73  68
## [443]  64  55  67  84  85  67  73  89  68  59  56  77  75  47  50  42  28
## [460]  37  37  27  12  15  22   8  15  17  10   9  11  20  13  11  16  11
## [477]   7  17  14  13  15  30  25  40  44  25  21  48  56  60  45  55  32
## [494]  46  61  42  37  43  34  40  25  16  17  17  16  23  18  18   9   7
## [511]   7   4   3   2   8   3   1   1   2   3   3   2   0   0   2   2   0
## [528]   6   3   6   2   3   2   4   5   2   9   2   4   8   6   3  11  14
## [545]  15  20   9  20  28  38  30  30  23  16  22  28  14  17  20  17  10
## [562]  13  20   9  18   9   8  19  11   4   6   6   8  13   8   8   5  16
## [579]  12  11  18  10  22  14  16  18  27  38  35  41  51  65  55  54  62
## [596]  64  56  65  71  75  71  72  47  27  35  25  19  37  38  34  26  19
## [613]  18  22  16  18   6  12   6   6   3   7   6   1   3   2   2   1  10
## [630]   3   3   1   1   2   6   3   3   5   4   7   6   5   7   6   4   4
## [647]   7   9   5   5  10   6  13   6   5   5   9   3   6  11   7   7  15
## [664]   9   6   6   6   7  10   8   7  12   3   2   7   5   5   7   7   7
## [681]   7  10  13  10  14  11  20  25  17  18  25  21  31  32  26  35  28
## [698]  37  41  34  30  39  39  39  34  30  37  29  26  15  22  15  20  14
## [715]  10  21  14  14   9  11   5   6   7  11   4   3   2   6  10   7   5
## [732]   3  12  13  10  13  13   8  21  18   8   7  20  14  14   7  14  10
## [749]  13  27  13  18  16  16  20  17   4  15   8   6  12  15  11  10  15
## [766]  17   7   7   8   9  12  12   5   4  11   4   5   7   1   1   4   2
## [783]   6   3   4  10  12  21  26  21  30  45  56  75  83  82 126 119 137
## [800] 131 112  82  73  43  55  55  53  46  43  29  22  26  13  17   8  13
## [817]  10  17  19   9   9   9   3   7   7   0   2   3   3   1   3   3   3
## [834]   7   3   5  11   5   5   6   6   4   4   8  14  12  16  10  16  18
## [851]  15  23  17  33  15  13  11  14  17  19  20  12  21   7  19  10  13
## [868]  10   8  21  11   9  14  14  15  18  16  12  20   8   3  13   4   1
## [885]  10   8  13  10  21  18  21  34  25  34  33  40  42  36  72  75  76
## [902]  92  71 112 106 101 170 135 106  68  48  48  26  33  29  17  12  13
## [919]  17  15  14  15  10   9   2   6   8   5   1   2   3   4   3   1   3
## [936]   5   2   3   2   3   2   2   3   4   3   4   4   4   7   6  15  11
## [953]   9   9  12  13  13  13  20  28  45  28  34  41  36  38  48  27  23
## [970]  28  42  30  18  38  28  36  44  41  35  28  28  22  26  24   9  21
## [987]  10  15   4
#gráfica sencilla
plot(tsdengue)

#descomposición de la ts
fit.dengue <- stl(tsdengue, s.window = "periodic")
plot(fit.dengue)
#gráficas para ver detalles de meses y estacionalidad
library(forecast)

monthplot(tsdengue, xlab = "", ylab = "")

seasonplot(tsdengue, year.labels = TRUE, main = "", type = "l")

#predicción
#ANN (no estacional)
predict.dengue <- ets(tsdengue, model = "ANN")
predict.dengue
## ETS(A,N,N) 
## 
## Call:
##  ets(y = tsdengue, model = "ANN") 
## 
##   Smoothing parameters:
##     alpha = 0.9999 
## 
##   Initial states:
##     l = 3.9796 
## 
##   sigma:  13.394
## 
##      AIC     AICc      BIC 
## 11957.35 11957.38 11972.04
forecast(predict.dengue, 52)
##          Point Forecast      Lo 80     Hi 80      Lo 95     Hi 95
## 2009.077       4.001101  -13.16397  21.16618  -22.25062  30.25282
## 2009.096       4.001101  -20.27277  28.27497  -33.12257  41.12478
## 2009.115       4.001101  -25.72770  33.72990  -41.46517  49.46737
## 2009.135       4.001101  -30.32647  38.32867  -48.49839  56.50059
## 2009.154       4.001101  -34.37810  42.38030  -54.69482  62.69702
## 2009.173       4.001101  -38.04107  46.04327  -60.29685  68.29905
## 2009.192       4.001101  -41.40952  49.41172  -65.44845  73.45066
## 2009.212       4.001101  -44.54481  52.54701  -70.24346  78.24567
## 2009.231       4.001101  -47.48954  55.49174  -74.74704  82.74924
## 2009.250       4.001101  -50.27474  58.27694  -79.00664  87.00884
## 2009.269       4.001101  -52.92383  60.92603  -83.05807  91.06027
## 2009.288       4.001101  -55.45501  63.45721  -86.92917  94.93137
## 2009.308       4.001101  -57.88274  65.88494  -90.64206  98.64427
## 2009.327       4.001101  -60.21876  68.22096  -94.21470 102.21690
## 2009.346       4.001101  -62.47274  70.47494  -97.66186 105.66406
## 2009.365       4.001101  -64.65276  72.65496 -100.99591 108.99811
## 2009.385       4.001101  -66.76565  74.76785 -104.22730 112.22950
## 2009.404       4.001101  -68.81726  76.81946 -107.36497 115.36717
## 2009.423       4.001101  -70.81263  78.81483 -110.41663 118.41883
## 2009.442       4.001101  -72.75615  80.75835 -113.38898 121.39118
## 2009.462       4.001101  -74.65165  82.65386 -116.28791 124.29011
## 2009.481       4.001101  -76.50254  84.50475 -119.11860 127.12080
## 2009.500       4.001101  -78.31182  86.31403 -121.88565 129.88786
## 2009.519       4.001101  -80.08218  88.08438 -124.59318 132.59539
## 2009.538       4.001101  -81.81603  89.81823 -127.24487 135.24707
## 2009.558       4.001101  -83.51553  91.51773 -129.84403 137.84623
## 2009.577       4.001101  -85.18265  93.18485 -132.39367 140.39587
## 2009.596       4.001101  -86.81917  94.82137 -134.89652 142.89872
## 2009.615       4.001101  -88.42672  96.42892 -137.35506 145.35726
## 2009.635       4.001101  -90.00679  98.00899 -139.77156 147.77376
## 2009.654       4.001101  -91.56073  99.56294 -142.14811 150.15031
## 2009.673       4.001101  -93.08981 101.09201 -144.48663 152.48884
## 2009.692       4.001101  -94.59518 102.59738 -146.78889 154.79109
## 2009.712       4.001101  -96.07790 104.08010 -149.05652 157.05873
## 2009.731       4.001101  -97.53898 105.54118 -151.29105 159.29325
## 2009.750       4.001101  -98.97933 106.98153 -153.49387 161.49607
## 2009.769       4.001101 -100.39980 108.40201 -155.66631 163.66851
## 2009.788       4.001101 -101.80121 109.80342 -157.80958 165.81178
## 2009.808       4.001101 -103.18430 111.18650 -159.92483 167.92703
## 2009.827       4.001101 -104.54977 112.55197 -162.01313 170.01533
## 2009.846       4.001101 -105.89827 113.90047 -164.07549 172.07769
## 2009.865       4.001101 -107.23043 115.23263 -166.11284 174.11505
## 2009.885       4.001101 -108.54682 116.54902 -168.12609 176.12829
## 2009.904       4.001101 -109.84799 117.85019 -170.11605 178.11826
## 2009.923       4.001101 -111.13445 119.13665 -172.08353 180.08573
## 2009.942       4.001101 -112.40670 120.40890 -174.02927 182.03147
## 2009.962       4.001101 -113.66519 121.66740 -175.95397 183.95617
## 2009.981       4.001101 -114.91037 122.91257 -177.85830 185.86050
## 2010.000       4.001101 -116.14264 124.14484 -179.74290 187.74510
## 2010.019       4.001101 -117.36240 125.36460 -181.60836 189.61056
## 2010.038       4.001101 -118.57002 126.57223 -183.45526 191.45746
## 2010.058       4.001101 -119.76586 127.76806 -185.28414 193.28634
plot(forecast(predict.dengue, 52), xlab = "Año", ylab = "Casos")

#estacional automatico
pred.dengue <- stl(tsdengue, s.window = "periodic")
head(pred.dengue)
## $time.series
## Time Series:
## Start = c(1990, 4) 
## End = c(2009, 4) 
## Frequency = 52 
##             seasonal      trend    remainder
## 1990.058 -23.4866185  12.999565  14.48705351
## 1990.077 -22.3360621  13.362843  13.97321953
## 1990.096 -22.7696735  13.726120  13.04355334
## 1990.115 -23.0453902  14.089398  11.95599239
## 1990.135 -20.4263700  14.452675  11.97369465
## 1990.154 -18.8910373  14.815953   6.07508438
## 1990.173 -19.3557047  15.179231   8.17647417
## 1990.192 -16.7677405  15.542508   6.22523236
## 1990.212 -14.3376710  15.905786   8.43188525
## 1990.231 -12.5027488  16.296368   2.20638115
## 1990.250 -11.1941424  16.686950   2.50719286
## 1990.269  -8.9907992  17.077531  -6.08673228
## 1990.288  -4.9979822  17.468113  -6.47013110
## 1990.308   3.3128666  17.858695  -4.17156181
## 1990.327  13.2026627  18.249277  -8.45193977
## 1990.346   9.1450903  18.639859 -14.78494932
## 1990.365  15.0875179  19.030441 -13.11795883
## 1990.385  13.9678809  19.417801  -5.38568185
## 1990.404  18.9008754  19.805161 -14.70603655
## 1990.423  20.9917646  20.192521 -21.18428586
## 1990.442  22.1352854  20.579881  -2.71516674
## 1990.462  24.2514733  20.967241 -18.21871470
## 1990.481  35.8413452  21.354602 -15.19594669
## 1990.500  35.0101647  21.741962 -23.75212631
## 1990.519  35.2316155  22.129322 -14.36093721
## 1990.538  30.2280088  22.501658 -15.72966653
## 1990.558  31.8559809  22.873994   2.27002534
## 1990.577  29.5892161  23.246330  18.16445415
## 1990.596  26.6908726  23.618666  -6.30953828
## 1990.615  26.5589802  23.991002   5.45001808
## 1990.635  25.8481404  24.363338   2.78852191
## 1990.654  18.1899323  24.735674   9.07439400
## 1990.673  10.3738295  25.108010  11.51816084
## 1990.692   1.9511407  25.577700  -1.52884033
## 1990.712  -0.7347061  26.047390   1.68731647
## 1990.731   1.5794471  26.517080  -7.09652681
## 1990.750  -2.1063997  26.986770  -3.88037001
## 1990.769  -0.8095149  27.456460  -0.64694474
## 1990.788  -3.7231565  27.926150   9.79700683
## 1990.808  -6.4789034  28.395840  15.08306365
## 1990.827  -8.4451765  28.865530  -3.42035322
## 1990.846 -10.7775273  29.730243   0.04728470
## 1990.865 -13.7414571  30.594956   8.14650150
## 1990.885 -14.2317026  31.459668   0.77203413
## 1990.904 -14.1956324  32.324381   2.87125100
## 1990.923 -19.2790885  33.189094   3.08999416
## 1990.942 -20.6783341  34.053807   3.62452684
## 1990.962 -20.5512638  34.918520   1.63274364
## 1990.981 -23.1610357  35.783233   3.37780260
## 1991.000 -23.2966301  37.040988   1.25564198
## 1991.019 -23.6953823  38.298743   8.39663920
## 1991.038 -24.9362398  39.556498   1.37974170
## 1991.058 -23.4866185  40.814253  -0.32763459
## 1991.077 -22.3360621  42.072008  -7.73594595
## 1991.096 -22.7696735  43.329763  -3.56008952
## 1991.115 -23.0453902  44.587518 -11.54212785
## 1991.135 -20.4263700  45.845273 -10.41890298
## 1991.154 -18.8910373  47.110358  -9.21932065
## 1991.173 -19.3557047  48.375443  -8.01973828
## 1991.192 -16.7677405  49.640528 -18.87278750
## 1991.212 -14.3376710  50.905613 -18.56794202
## 1991.231 -12.5027488  52.170698 -26.66794924
## 1991.250 -11.1941424  53.435783 -28.24164066
## 1991.269  -8.9907992  54.700868 -27.71006891
## 1991.288  -4.9979822  55.965953 -27.96797085
## 1991.308   3.3128666  56.878050 -35.19091654
## 1991.327  13.2026627  57.790147  -8.99280948
## 1991.346   9.1450903  58.702244  -7.84733401
## 1991.365  15.0875179  59.614341   1.29814151
## 1991.385  13.9678809  60.526437  -8.49431827
## 1991.404  18.9008754  61.438534 -16.33940973
## 1991.423  20.9917646  62.350631 -15.34239581
## 1991.442  22.1352854  63.262728   3.60198656
## 1991.462  24.2514733  63.753411   3.99511581
## 1991.481  35.8413452  64.244094  39.91456103
## 1991.500  35.0101647  64.734777  16.25505862
## 1991.519  35.2316155  65.225460  41.54292493
## 1991.538  30.2280088  65.716143  33.05584870
## 1991.558  31.8559809  66.206825  41.93719367
## 1991.577  29.5892161  66.697508  43.71327557
## 1991.596  26.6908726  67.188191  33.12093622
## 1991.615  26.5589802  67.282678  35.15834197
## 1991.635  25.8481404  67.377164  75.77469520
## 1991.654  18.1899323  67.471651  55.33841667
## 1991.673  10.3738295  67.566138  30.06003291
## 1991.692   1.9511407  67.660624   8.38823515
## 1991.712  -0.7347061  67.755111   2.97959536
## 1991.731   1.5794471  67.849597  11.57095549
## 1991.750  -2.1063997  67.944084  38.16231570
## 1991.769  -0.8095149  67.490684  23.31883055
## 1991.788  -3.7231565  67.037285  21.68587169
## 1991.808  -6.4789034  66.583885  -5.10498191
## 1991.827  -8.4451765  66.130486  -4.68530920
## 1991.846 -10.7775273  65.677086  10.10044121
## 1991.865 -13.7414571  65.223687 -18.48222949
## 1991.885 -14.2317026  64.770287 -12.53858437
## 1991.904 -14.1956324  64.316887   8.87874500
## 1991.923 -19.2790885  63.240761  -3.96167288
## 1991.942 -20.6783341  62.164635  -4.48630125
## 1991.962 -20.5512638  61.088509 -11.53724549
## 1991.981 -23.1610357  60.012383  -6.85134757
## 1992.000 -23.2966301  58.936257  -5.63962718
## 1992.019 -23.6953823  57.860131  -6.16474895
## 1992.038 -24.9362398  56.784005  -8.84776544
## 1992.058 -23.4866185  55.707879  -8.22126072
## 1992.077 -22.3360621  54.477902  -3.14184012
## 1992.096 -22.7696735  53.247925  -4.47825172
## 1992.115 -23.0453902  52.017948  -5.97255809
## 1992.135 -20.4263700  50.787971 -10.36160125
## 1992.154 -18.8910373  49.557994 -11.66695693
## 1992.173 -19.3557047  48.328017  -8.97231256
## 1992.192 -16.7677405  47.098040  -4.33029979
## 1992.212 -14.3376710  45.868063  -2.53039232
## 1992.231 -12.5027488  45.016349  -1.51360064
## 1992.250 -11.1941424  44.164636  -4.97049316
## 1992.269  -8.9907992  43.312922  -8.32212252
## 1992.288  -4.9979822  42.461208  -5.46322557
## 1992.308   3.3128666  41.609494  -9.92236051
## 1992.327  13.2026627  40.757780 -20.96044270
## 1992.346   9.1450903  39.906066 -19.05115648
## 1992.365  15.0875179  39.054352  -2.14187021
## 1992.385  13.9678809  38.593481   6.43863799
## 1992.404  18.9008754  38.132610   9.96651451
## 1992.423  20.9917646  37.671739   6.33649642
## 1992.442  22.1352854  37.210868  14.65384676
## 1992.462  24.2514733  36.749997   8.99853002
## 1992.481  35.8413452  36.289126 -11.13047074
## 1992.500  35.0101647  35.828254 -17.83841914
## 1992.519  35.2316155  35.367383   5.40100118
## 1992.538  30.2280088  35.124117  -4.35212575
## 1992.558  31.8559809  34.880851  -9.73683148
## 1992.577  29.5892161  34.637584 -20.22680028
## 1992.596  26.6908726  34.394318 -27.08519031
## 1992.615  26.5589802  34.151051 -13.71003156
## 1992.635  25.8481404  33.907785   0.24407467
## 1992.654  18.1899323  33.664519   8.14554915
## 1992.673  10.3738295  33.421252   9.20491839
## 1992.692   1.9511407  33.177216   0.87164376
## 1992.712  -0.7347061  32.933179  -1.19847290
## 1992.731   1.5794471  32.689142  -4.26858964
## 1992.750  -2.1063997  32.445106   1.66129371
## 1992.769  -0.8095149  32.201069  -3.39155449
## 1992.788  -3.7231565  31.957033   4.76612362
## 1992.808  -6.4789034  31.712996   7.76590699
## 1992.827  -8.4451765  31.468960  11.97621666
## 1992.846 -10.7775273  31.038695   1.73883230
## 1992.865 -13.7414571  30.608430  -3.86697316
## 1992.885 -14.2317026  30.178165  -2.94646282
## 1992.904 -14.1956324  29.747901   5.44773178
## 1992.923 -19.2790885  29.317636   6.96145267
## 1992.942 -20.6783341  28.887371   2.79096308
## 1992.962 -20.5512638  28.457106   0.09415761
## 1992.981 -23.1610357  28.026841   3.13419429
## 1993.000 -23.2966301  27.536424   1.76020644
## 1993.019 -23.6953823  27.046006   2.64937643
## 1993.038 -24.9362398  26.555588   5.38065170
## 1993.058 -23.4866185  26.065170   9.42144817
## 1993.077 -22.3360621  25.574753  13.76130958
## 1993.096 -22.7696735  25.084335   7.68533877
## 1993.115 -23.0453902  24.593917   8.45147321
## 1993.135 -20.4263700  24.103499  14.32287085
## 1993.154 -18.8910373  23.814937  14.07610050
## 1993.173 -19.3557047  23.526375   7.82933020
## 1993.192 -16.7677405  23.237812  15.52992830
## 1993.212 -14.3376710  22.949250   3.38842110
## 1993.231 -12.5027488  22.660688  10.84206121
## 1993.250 -11.1941424  22.372125   6.82201712
## 1993.269  -8.9907992  22.083563   2.90723619
## 1993.288  -4.9979822  21.795001  -0.79701843
## 1993.308   3.3128666  21.790420  -3.10328657
## 1993.327  13.2026627  21.785839 -17.98850196
## 1993.346   9.1450903  21.781259  -5.92634894
## 1993.365  15.0875179  21.776678 -13.86419589
## 1993.385  13.9678809  21.772097 -23.73997812
## 1993.404  18.9008754  21.767517 -15.66839203
## 1993.423  20.9917646  21.762936 -14.75470056
## 1993.442  22.1352854  21.758355 -16.89364065
## 1993.462  24.2514733  21.997029 -28.24850206
## 1993.481  35.8413452  22.235702 -35.07704750
## 1993.500  35.0101647  22.474376 -34.48454056
## 1993.519  35.2316155  22.713049 -28.94466492
## 1993.538  30.2280088  22.951723 -15.17973180
## 1993.558  31.8559809  23.190397 -19.04637750
## 1993.577  29.5892161  23.429070 -10.01828626
## 1993.596  26.6908726  23.667744  -4.35861626
## 1993.615  26.5589802  24.269315 -19.82829571
## 1993.635  25.8481404  24.870887 -25.71902769
## 1993.654  18.1899323  25.472459  -3.66239142
## 1993.673  10.3738295  26.074031  -5.44786038
## 1993.692   1.9511407  26.675603   9.37325666
## 1993.712  -0.7347061  27.277174   3.45753167
## 1993.731   1.5794471  27.878746  -7.45819341
## 1993.750  -2.1063997  28.480318   4.62608161
## 1993.769  -0.8095149  30.365707  -3.55619158
## 1993.788  -3.7231565  32.251095   6.47206154
## 1993.808  -6.4789034  34.136483   8.34241991
## 1993.827  -8.4451765  36.021872  11.42330459
## 1993.846 -10.7775273  37.907260  -2.12973303
## 1993.865 -13.7414571  39.792649   4.94880825
## 1993.885 -14.2317026  41.678037   9.55366534
## 1993.904 -14.1956324  43.563426   3.63220668
## 1993.923 -19.2790885  47.741545  -3.46245642
## 1993.942 -20.6783341  51.919664  -7.24133000
## 1993.962 -20.5512638  56.097783 -17.54651945
## 1993.981 -23.1610357  60.275902 -14.11486675
## 1994.000 -23.2966301  64.454022 -28.15739157
## 1994.019 -23.6953823  68.632141 -26.93675855
## 1994.038 -24.9362398  72.810260 -33.87402026
## 1994.058 -23.4866185  76.988379 -36.50176075
## 1994.077 -22.3360621  81.614934 -37.27887208
## 1994.096 -22.7696735  86.241489 -50.47181563
## 1994.115 -23.0453902  90.868044 -43.82265393
## 1994.135 -20.4263700  95.494599 -44.06822902
## 1994.154 -18.8910373 100.121154 -47.23011664
## 1994.173 -19.3557047 104.747709 -54.39200421
## 1994.192 -16.7677405 109.374264 -61.60652337
## 1994.212 -14.3376710 114.000819 -61.66314784
## 1994.231 -12.5027488 116.717938 -55.21518882
## 1994.250 -11.1941424 119.435056 -66.24091399
## 1994.269  -8.9907992 122.152175 -64.16137600
## 1994.288  -4.9979822 124.869294 -64.87131171
## 1994.308   3.3128666 127.586413 -50.89927930
## 1994.327  13.2026627 130.303531 -59.50619414
## 1994.346   9.1450903 133.020650 -70.16574058
## 1994.365  15.0875179 135.737769 -61.82528697
## 1994.385  13.9678809 136.395769 -35.36364943
## 1994.404  18.9008754 137.053768  23.04535643
## 1994.423  20.9917646 137.711768  43.29646768
## 1994.442  22.1352854 138.369767 111.49494736
## 1994.462  24.2514733 139.027767 138.72075996
## 1994.481  35.8413452 139.685766 219.47288853
## 1994.500  35.0101647 140.343766 250.64606947
## 1994.519  35.2316155 141.001765 284.76661913
## 1994.538  30.2280088 140.361512 210.41047918
## 1994.558  31.8559809 139.721259 161.42276042
## 1994.577  29.5892161 139.081005 184.32977860
## 1994.596  26.6908726 138.440752 244.86837554
## 1994.615  26.5589802 137.800498 199.64052127
## 1994.635  25.8481404 137.160245 195.99161448
## 1994.654  18.1899323 136.519992 133.29007593
## 1994.673  10.3738295 135.879738  74.74643215
## 1994.692   1.9511407 133.584997  13.46386194
## 1994.712  -0.7347061 131.290256 -18.55555029
## 1994.731   1.5794471 128.995515  23.42503739
## 1994.750  -2.1063997 126.700774 -33.59437483
## 1994.769  -0.8095149 124.406034 -51.59651860
## 1994.788  -3.7231565 122.111293 -62.38813606
## 1994.808  -6.4789034 119.816552 -67.33764827
## 1994.827  -8.4451765 117.521811 -72.07663418
## 1994.846 -10.7775273 113.166648 -76.38912057
## 1994.865 -13.7414571 108.811485 -78.07002808
## 1994.885 -14.2317026 104.456322 -73.22461977
## 1994.904 -14.1956324 100.101160 -65.90552721
## 1994.923 -19.2790885  95.745997 -65.46690837
## 1994.942 -20.6783341  91.390834 -63.71250000
## 1994.962 -20.5512638  87.035671 -50.48440751
## 1994.981 -23.1610357  82.680509 -45.51947287
## 1995.000 -23.2966301  77.849497 -38.55286714
## 1995.019 -23.6953823  73.018486 -44.32310357
## 1995.038 -24.9362398  68.187474 -41.25123471
## 1995.058 -23.4866185  63.356463 -33.86984465
## 1995.077 -22.3360621  58.525452 -31.18938966
## 1995.096 -22.7696735  53.694440 -26.92476688
## 1995.115 -23.0453902  48.863429 -22.81803886
## 1995.135 -20.4263700  44.032418 -19.60604764
## 1995.154 -18.8910373  41.361818  -6.47078040
## 1995.173 -19.3557047  38.691218 -11.33551311
## 1995.192 -16.7677405  36.020618 -12.25287742
## 1995.212 -14.3376710  33.350018  -9.01234703
## 1995.231 -12.5027488  30.679418  -4.17666934
## 1995.250 -11.1941424  28.008818  -9.81467584
## 1995.269  -8.9907992  25.338218  -7.34741918
## 1995.288  -4.9979822  22.667618  -6.66963621
## 1995.308   3.3128666  22.041154  -2.35402091
## 1995.327  13.2026627  21.414690 -17.61735286
## 1995.346   9.1450903  20.788226 -10.93331641
## 1995.365  15.0875179  20.161762 -11.24927991
## 1995.385  13.9678809  19.535298 -16.50317871
## 1995.404  18.9008754  18.908834  -9.80970919
## 1995.423  20.9917646  18.282370   0.72586572
## 1995.442  22.1352854  17.655906  -6.79119093
## 1995.462  24.2514733  17.623757 -10.87523064
## 1995.481  35.8413452  17.591609 -20.43295438
## 1995.500  35.0101647  17.559461 -23.56962575
## 1995.519  35.2316155  17.527313 -22.75892841
## 1995.538  30.2280088  17.495165 -11.72317360
## 1995.558  31.8559809  17.463017  -1.31899760
## 1995.577  29.5892161  17.430869  -7.02008467
## 1995.596  26.6908726  17.398720 -16.08959297
## 1995.615  26.5589802  17.482614  -8.04159424
## 1995.635  25.8481404  17.566508 -24.41464804
## 1995.654  18.1899323  17.650401  -1.84033359
## 1995.673  10.3738295  17.734295  -5.10812437
## 1995.692   1.9511407  17.818188  -2.76932916
## 1995.712  -0.7347061  17.902082  -0.16737597
## 1995.731   1.5794471  17.985976   3.43457714
## 1995.750  -2.1063997  18.069869  -1.96346966
## 1995.769  -0.8095149  18.125062   2.68445295
## 1995.788  -3.7231565  18.180255  -1.45709814
## 1995.808  -6.4789034  18.235447  11.24345604
## 1995.827  -8.4451765  18.290640  10.15453651
## 1995.846 -10.7775273  18.345833   8.43169469
## 1995.865 -13.7414571  18.401025  11.34043177
## 1995.885 -14.2317026  18.456218  18.77548466
## 1995.904 -14.1956324  18.511411   9.68422180
## 1995.923 -19.2790885  18.435468  15.84362005
## 1995.942 -20.6783341  18.359526   6.31880783
## 1995.962 -20.5512638  18.283584   7.26767973
## 1995.981 -23.1610357  18.207642   9.95339378
## 1996.000 -23.2966301  18.131700  16.16493031
## 1996.019 -23.6953823  18.055758  16.63962468
## 1996.038 -24.9362398  17.979815  13.95642432
## 1996.058 -23.4866185  17.903873   9.58274518
## 1996.077 -22.3360621  17.754130  10.58193201
## 1996.096 -22.7696735  17.604387  10.16528663
## 1996.115 -23.0453902  17.454644   7.59074650
## 1996.135 -20.4263700  17.304900   7.12146957
## 1996.154 -18.8910373  17.155157   3.73588011
## 1996.173 -19.3557047  17.005414   6.35029071
## 1996.192 -16.7677405  16.855671   5.91206971
## 1996.212 -14.3376710  16.705928   3.63174341
## 1996.231 -12.5027488  16.620466  -0.11771680
## 1996.250 -11.1941424  16.535004   0.65913879
## 1996.269  -8.9907992  16.449542   3.54125754
## 1996.288  -4.9979822  16.364080   4.63390260
## 1996.308   3.3128666  16.278618 -10.59148422
## 1996.327  13.2026627  16.193156 -17.39581829
## 1996.346   9.1450903  16.107694 -12.25278396
## 1996.365  15.0875179  16.022232  -4.10974959
## 1996.385  13.9678809  16.083969  -9.05184946
## 1996.404  18.9008754  16.145706 -16.04658101
## 1996.423  20.9917646  16.207443 -20.19920717
## 1996.442  22.1352854  16.269179 -14.40446490
## 1996.462  24.2514733  16.330916 -13.58238971
## 1996.481  35.8413452  16.392653 -22.23399855
## 1996.500  35.0101647  16.454390 -22.46455501
## 1996.519  35.2316155  16.516127 -26.74774277
## 1996.538  30.2280088  16.714247 -11.94225592
## 1996.558  31.8559809  16.912367 -15.76834788
## 1996.577  29.5892161  17.110487 -16.69970290
## 1996.596  26.6908726  17.308607 -14.99947917
## 1996.615  26.5589802  17.506726 -13.06570664
## 1996.635  25.8481404  17.704846 -14.55298664
## 1996.654  18.1899323  17.902966 -14.09289839
## 1996.673  10.3738295  18.101086  -1.47491537
## 1996.692   1.9511407  18.345506   3.70335367
## 1996.712  -0.7347061  18.589925   8.14478069
## 1996.731   1.5794471  18.834345   8.58620763
## 1996.750  -2.1063997  19.078765   5.02763465
## 1996.769  -0.8095149  19.323185  14.48633014
## 1996.788  -3.7231565  19.567605   8.15555192
## 1996.808  -6.4789034  19.812024  16.66687897
## 1996.827  -8.4451765  20.056444   8.38873231
## 1996.846 -10.7775273  20.333868   7.44365937
## 1996.865 -13.7414571  20.611292  17.13016531
## 1996.885 -14.2317026  20.888716  21.34298707
## 1996.904 -14.1956324  21.166139  11.02949308
## 1996.923 -19.2790885  21.443563  10.83552538
## 1996.942 -20.6783341  21.720987   7.95734720
## 1996.962 -20.5512638  21.998411  12.55285314
## 1996.981 -23.1610357  22.275834  11.88520124
## 1997.000 -23.2966301  22.619562  11.67706819
## 1997.019 -23.6953823  22.963289  19.73209298
## 1997.038 -24.9362398  23.307017  11.62922306
## 1997.058 -23.4866185  23.650744   7.83587434
## 1997.077 -22.3360621  23.994472   6.34159055
## 1997.096 -22.7696735  24.338199   7.43147455
## 1997.115 -23.0453902  24.681926   1.36346379
## 1997.135 -20.4263700  25.025654   2.40071624
## 1997.154 -18.8910373  25.474996   7.41604142
## 1997.173 -19.3557047  25.924338  -2.56863336
## 1997.192 -16.7677405  26.373680  -0.60593972
## 1997.212 -14.3376710  26.823022   1.51464861
## 1997.231 -12.5027488  27.272365  -7.76961576
## 1997.250 -11.1941424  27.721707  -7.52756431
## 1997.269  -8.9907992  28.171049 -16.18024972
## 1997.288  -4.9979822  28.620391 -20.62240880
## 1997.308   3.3128666  29.172445 -18.48531200
## 1997.327  13.2026627  29.724500 -30.92716244
## 1997.346   9.1450903  30.276554 -29.42164447
## 1997.365  15.0875179  30.828609 -24.91612646
## 1997.385  13.9678809  31.380663 -19.34854375
## 1997.404  18.9008754  31.932717  -3.83359272
## 1997.423  20.9917646  32.484772 -11.47653629
## 1997.442  22.1352854  33.036826 -24.17211144
## 1997.462  24.2514733  33.803605 -24.05507804
## 1997.481  35.8413452  34.570384 -37.41172866
## 1997.500  35.0101647  35.337162 -18.34732692
## 1997.519  35.2316155  36.103941 -15.33555646
## 1997.538  30.2280088  36.870720   2.90127147
## 1997.558  31.8559809  37.637498  42.50652058
## 1997.577  29.5892161  38.404277   2.00650663
## 1997.596  26.6908726  39.171056 -18.86192856
## 1997.615  26.5589802  40.817603 -19.37658338
## 1997.635  25.8481404  42.464150 -19.31229072
## 1997.654  18.1899323  44.110697   3.69937018
## 1997.673  10.3738295  45.757245  -0.13107415
## 1997.692   1.9511407  47.403792  11.64506752
## 1997.712  -0.7347061  49.050339  18.68436716
## 1997.731   1.5794471  50.696886  11.72366672
## 1997.750  -2.1063997  52.343433  17.76296638
## 1997.769  -0.8095149  54.811645  -5.00213015
## 1997.788  -3.7231565  57.279857  -3.55670038
## 1997.808  -6.4789034  59.748069   2.73083466
## 1997.827  -8.4451765  62.216280  21.22889599
## 1997.846 -10.7775273  64.684492   9.09303503
## 1997.865 -13.7414571  67.152704   8.58875297
## 1997.885 -14.2317026  69.620916 -14.38921328
## 1997.904 -14.1956324  72.089128  -7.89349528
## 1997.923 -19.2790885  73.899119 -20.62003091
## 1997.942 -20.6783341  75.709111 -24.03077702
## 1997.962 -20.5512638  77.519103 -18.96783900
## 1997.981 -23.1610357  79.329095 -26.16805883
## 1998.000 -23.2966301  81.139086 -25.84245618
## 1998.019 -23.6953823  82.949078 -33.25369569
## 1998.038 -24.9362398  84.759070 -29.82282992
## 1998.058 -23.4866185  86.569061 -27.08244295
## 1998.077 -22.3360621  87.231322 -29.89526013
## 1998.096 -22.7696735  87.893583 -19.12390953
## 1998.115 -23.0453902  88.555844 -17.51045368
## 1998.135 -20.4263700  89.218105 -24.79173463
## 1998.154 -18.8910373  89.880365 -19.98932809
## 1998.173 -19.3557047  90.542626 -12.18692152
## 1998.192 -16.7677405  91.204887  -3.43714653
## 1998.212 -14.3376710  91.867148  24.47052316
## 1998.231 -12.5027488  91.841409  48.66133985
## 1998.250 -11.1941424  91.815670  46.37847234
## 1998.269  -8.9907992  91.789931  67.20086799
## 1998.288  -4.9979822  91.764192 104.23378996
## 1998.308   3.3128666  91.738453 160.94868004
## 1998.327  13.2026627  91.712714 224.08462286
## 1998.346   9.1450903  91.686976 162.16793410
## 1998.365  15.0875179  91.661237 113.25124537
## 1998.385  13.9678809  91.128954  98.90316470
## 1998.404  18.9008754  90.596672  71.50245235
## 1998.423  20.9917646  90.064390 -12.05615461
## 1998.442  22.1352854  89.532108 -57.66739314
## 1998.462  24.2514733  88.999825 -33.25129875
## 1998.481  35.8413452  88.467543 -22.30888839
## 1998.500  35.0101647  87.935261   4.05457434
## 1998.519  35.2316155  87.402979 -49.63459422
## 1998.538  30.2280088  85.964872 -48.19288121
## 1998.558  31.8559809  84.526766 -52.38274701
## 1998.577  29.5892161  83.088660 -57.67787587
## 1998.596  26.6908726  81.650553 -41.34142598
## 1998.615  26.5589802  80.212447 -22.77142729
## 1998.635  25.8481404  78.774341 -19.62248112
## 1998.654  18.1899323  77.336234 -28.52616672
## 1998.673  10.3738295  75.898128 -13.27195754
## 1998.692   1.9511407  73.680303  13.36855681
## 1998.712  -0.7347061  71.462477  -2.72777087
## 1998.731   1.5794471  69.244651 -11.82409864
## 1998.750  -2.1063997  67.026826  -8.92042631
## 1998.769  -0.8095149  64.809000  13.00051448
## 1998.788  -3.7231565  62.591175  16.13198156
## 1998.808  -6.4789034  60.373349  -6.89444609
## 1998.827  -8.4451765  58.155524   0.28965256
## 1998.846 -10.7775273  56.243831  -3.46630409
## 1998.865 -13.7414571  54.332139 -12.59068184
## 1998.885 -14.2317026  52.420446  -1.18874377
## 1998.904 -14.1956324  50.508754   0.68687854
## 1998.923 -19.2790885  48.597061  -2.31797285
## 1998.942 -20.6783341  46.685369 -14.00703473
## 1998.962 -20.5512638  44.773676  -9.22241248
## 1998.981 -23.1610357  42.861984   2.29905192
## 1999.000 -23.2966301  41.844036 -10.54740621
## 1999.019 -23.6953823  40.826089  -2.13070650
## 1999.038 -24.9362398  39.808141   2.12809849
## 1999.058 -23.4866185  38.790194  -5.30357531
## 1999.077 -22.3360621  37.772246  -6.43618418
## 1999.096 -22.7696735  36.754299  -2.98462527
## 1999.115 -23.0453902  35.736351   7.30903889
## 1999.135 -20.4263700  34.718404  -1.29203374
## 1999.154 -18.8910373  33.905598  -4.01456061
## 1999.173 -19.3557047  33.092792   2.26291258
## 1999.192 -16.7677405  32.279986  -4.51224583
## 1999.212 -14.3376710  31.467181 -10.12950954
## 1999.231 -12.5027488  30.654375  -1.15162595
## 1999.250 -11.1941424  29.841569  -4.64742655
## 1999.269  -8.9907992  29.028763  -7.03796399
## 1999.288  -4.9979822  28.215957  -8.21797512
## 1999.308   3.3128666  27.616416  -0.92928233
## 1999.327  13.2026627  27.016874 -15.21953678
## 1999.346   9.1450903  26.417333   4.43757717
## 1999.365  15.0875179  25.817791   3.09469117
## 1999.385  13.9678809  25.218249 -14.18613013
## 1999.404  18.9008754  24.618708 -22.51958311
## 1999.423  20.9917646  24.019166   2.98906930
## 1999.442  22.1352854  23.419624  10.44509014
## 1999.462  24.2514733  23.128304  12.62022274
## 1999.481  35.8413452  22.836984 -13.67832868
## 1999.500  35.0101647  22.545663  -2.55582774
## 1999.519  35.2316155  22.254343 -25.48595808
## 1999.538  30.2280088  21.963022  -6.19103095
## 1999.558  31.8559809  21.671702   7.47231736
## 1999.577  29.5892161  21.380381  -8.96959739
## 1999.596  26.6908726  21.089061 -10.77993338
## 1999.615  26.5589802  20.900352  -4.45933189
## 1999.635  25.8481404  20.711643 -12.55978293
## 1999.654  18.1899323  20.522933   1.28713428
## 1999.673  10.3738295  20.334224  -5.70805375
## 1999.692   1.9511407  20.145515  -6.09665577
## 1999.712  -0.7347061  19.956806  -2.22209982
## 1999.731   1.5794471  19.768097  -4.34754396
## 1999.750  -2.1063997  19.579388  -1.47298800
## 1999.769  -0.8095149  19.247407   4.56210778
## 1999.788  -3.7231565  18.915427   2.80772987
## 1999.808  -6.4789034  18.583446   5.89545722
## 1999.827  -8.4451765  18.251466  -0.80628913
## 1999.846 -10.7775273  17.919485  -0.14195777
## 1999.865 -13.7414571  17.587505   3.15395248
## 1999.885 -14.2317026  17.255524   0.97617854
## 1999.904 -14.1956324  16.923544   0.27208886
## 1999.923 -19.2790885  16.420073   4.85901583
## 1999.942 -20.6783341  15.916602  12.76173232
## 1999.962 -20.5512638  15.413131   8.13813293
## 1999.981 -23.1610357  14.909660   9.25137570
## 2000.000 -23.2966301  14.406189   9.89044095
## 2000.019 -23.6953823  13.902718  11.79266403
## 2000.038 -24.9362398  13.399247  14.53699240
## 2000.058 -23.4866185  12.895776  13.59084197
## 2000.077 -22.3360621  12.494616  11.84144612
## 2000.096 -22.7696735  12.093455  10.67621805
## 2000.115 -23.0453902  11.692295  11.35309523
## 2000.135 -20.4263700  11.291134  11.13523561
## 2000.154 -18.8910373  10.889974  10.00106347
## 2000.173 -19.3557047  10.488813   8.86689138
## 2000.192 -16.7677405  10.087653  12.68008769
## 2000.212 -14.3376710   9.686492   7.65117871
## 2000.231 -12.5027488   9.530062   8.97268635
## 2000.250 -11.1941424   9.373633   3.82050980
## 2000.269  -8.9907992   9.217203   2.77359641
## 2000.288  -4.9979822   9.060773  -2.06279067
## 2000.308   3.3128666   8.904343  -8.21720964
## 2000.327  13.2026627   8.747913 -16.95057586
## 2000.346   9.1450903   8.591483 -15.73657367
## 2000.365  15.0875179   8.435053 -14.52257144
## 2000.385  13.9678809   8.513445 -20.48132559
## 2000.404  18.9008754   8.591836 -23.49271143
## 2000.423  20.9917646   8.670227 -21.66199188
## 2000.442  22.1352854   8.748618 -24.88390389
## 2000.462  24.2514733   8.827010 -30.07848299
## 2000.481  35.8413452   8.905401 -33.74674611
## 2000.500  35.0101647   8.983792 -29.99395686
## 2000.519  35.2316155   9.062183 -29.29379891
## 2000.538  30.2280088   9.364584 -19.59259306
## 2000.558  31.8559809   9.666985 -32.52296604
## 2000.577  29.5892161   9.969386 -19.55860207
## 2000.596  26.6908726  10.271787  -8.96265935
## 2000.615  26.5589802  10.574188   0.86683217
## 2000.635  25.8481404  10.876588  -6.72472884
## 2000.654  18.1899323  11.178989   0.63107840
## 2000.673  10.3738295  11.481390   1.14478041
## 2000.692   1.9511407  12.040320   2.00853961
## 2000.712  -0.7347061  12.599249  10.13545679
## 2000.731   1.5794471  13.158179  13.26237389
## 2000.750  -2.1063997  13.717109   2.38929108
## 2000.769  -0.8095149  14.276038   3.53347673
## 2000.788  -3.7231565  14.834968   8.88818868
## 2000.808  -6.4789034  15.393897   8.08500589
## 2000.827  -8.4451765  15.952827   2.49234939
## 2000.846 -10.7775273  16.691970   7.08555736
## 2000.865 -13.7414571  17.431113  16.31034422
## 2000.885 -14.2317026  18.170256   5.06144690
## 2000.904 -14.1956324  18.909399  13.28623383
## 2000.923 -19.2790885  19.648541   8.63054704
## 2000.942 -20.6783341  20.387684   8.29064977
## 2000.962 -20.5512638  21.126827  18.42443664
## 2000.981 -23.1610357  21.865970  12.29506565
## 2001.000 -23.2966301  22.471921   4.82470866
## 2001.019 -23.6953823  23.077873   6.61750951
## 2001.038 -24.9362398  23.683824   7.25241564
## 2001.058 -23.4866185  24.289775   7.19684298
## 2001.077 -22.3360621  24.895727  10.44033525
## 2001.096 -22.7696735  25.501678   5.26799531
## 2001.115 -23.0453902  26.107630   4.93776061
## 2001.135 -20.4263700  26.713581  -1.28721088
## 2001.154 -18.8910373  26.979548   7.91148965
## 2001.173 -19.3557047  27.245515   4.11019022
## 2001.192 -16.7677405  27.511481   0.25625921
## 2001.212 -14.3376710  27.777448   4.56022289
## 2001.231 -12.5027488  28.043415  -5.54066612
## 2001.250 -11.1941424  28.309382   4.88476068
## 2001.269  -8.9907992  28.575349  -5.58454937
## 2001.288  -4.9979822  28.841315  -7.84333311
## 2001.308   3.3128666  28.883006 -14.19587252
## 2001.327  13.2026627  28.924697 -15.12735918
## 2001.346   9.1450903  28.966387  -0.11147743
## 2001.365  15.0875179  29.008078  -9.09559564
## 2001.385  13.9678809  29.049768  -2.01764915
## 2001.404  18.9008754  29.091459   3.00766567
## 2001.423  20.9917646  29.133149  14.87508587
## 2001.442  22.1352854  29.174840   3.68987451
## 2001.462  24.2514733  29.124566   0.62396099
## 2001.481  35.8413452  29.074291  -2.91563656
## 2001.500  35.0101647  29.024017  -0.03418173
## 2001.519  35.2316155  28.973743  -8.20535820
## 2001.538  30.2280088  28.923468   5.84852280
## 2001.558  31.8559809  28.873194  10.27082499
## 2001.577  29.5892161  28.822920  16.58786412
## 2001.596  26.6908726  28.772645  15.53648200
## 2001.615  26.5589802  28.607518  16.83350136
## 2001.635  25.8481404  28.442391  -7.29053181
## 2001.654  18.1899323  28.277264 -19.46719673
## 2001.673  10.3738295  28.112137  -3.48596689
## 2001.692   1.9511407  27.947010  -4.89815105
## 2001.712  -0.7347061  27.781883  -8.04717723
## 2001.731   1.5794471  27.616756   7.80379650
## 2001.750  -2.1063997  27.451629  12.65477032
## 2001.769  -0.8095149  26.969155   7.84036015
## 2001.788  -3.7231565  26.486680   3.23647628
## 2001.808  -6.4789034  26.004206  -0.52530232
## 2001.827  -8.4451765  25.521731   0.92344537
## 2001.846 -10.7775273  25.039257   7.73827077
## 2001.865 -13.7414571  24.556782   5.18467506
## 2001.885 -14.2317026  24.074307   8.15739516
## 2001.904 -14.1956324  23.591833  -3.39620048
## 2001.923 -19.2790885  22.725209   8.55387968
## 2001.942 -20.6783341  21.858585   4.81974936
## 2001.962 -20.5512638  20.991961   5.55930317
## 2001.981 -23.1610357  20.125337   6.03569913
## 2002.000 -23.2966301  19.258713  11.03791756
## 2002.019 -23.6953823  18.392088  11.30329383
## 2002.038 -24.9362398  17.525464   8.41077539
## 2002.058 -23.4866185  16.658840   9.82777815
## 2002.077 -22.3360621  15.763122   8.57294038
## 2002.096 -22.7696735  14.867403   9.90227039
## 2002.115 -23.0453902  13.971685  10.07370565
## 2002.135 -20.4263700  13.075966  17.35040411
## 2002.154 -18.8910373  12.180247   9.71079006
## 2002.173 -19.3557047  11.284529  11.07117604
## 2002.192 -16.7677405  10.388810   7.37893044
## 2002.212 -14.3376710   9.493091   5.84457954
## 2002.231 -12.5027488   8.923940   5.57880850
## 2002.250 -11.1941424   8.354789   8.83935328
## 2002.269  -8.9907992   7.785638   4.20516121
## 2002.288  -4.9979822   7.216487   0.78149546
## 2002.308   3.3128666   6.647336  -4.96020218
## 2002.327  13.2026627   6.078184 -15.28084708
## 2002.346   9.1450903   5.509033  -7.65412356
## 2002.365  15.0875179   4.939882 -14.02740001
## 2002.385  13.9678809   4.770539 -13.73841980
## 2002.404  18.9008754   4.601196 -16.50207127
## 2002.423  20.9917646   4.431853 -19.42361736
## 2002.442  22.1352854   4.262510 -22.39779501
## 2002.462  24.2514733   4.093166 -24.34463974
## 2002.481  35.8413452   3.923823 -32.76516851
## 2002.500  35.0101647   3.754480 -29.76464490
## 2002.519  35.2316155   3.585137 -33.81675258
## 2002.538  30.2280088   3.786255 -29.01426352
## 2002.558  31.8559809   3.987372 -25.84335328
## 2002.577  29.5892161   4.188490 -27.77770610
## 2002.596  26.6908726   4.389608 -18.08048016
## 2002.615  26.5589802   4.590725 -25.14970543
## 2002.635  25.8481404   4.791843 -25.63998322
## 2002.654  18.1899323   4.992960 -18.18289277
## 2002.673  10.3738295   5.194078  -6.56790755
## 2002.692   1.9511407   5.700792  -4.65193295
## 2002.712  -0.7347061   6.207507   0.52719962
## 2002.731   1.5794471   6.714221   2.70633210
## 2002.750  -2.1063997   7.220935   1.88546468
## 2002.769  -0.8095149   7.727649   0.08186572
## 2002.788  -3.7231565   8.234363  10.48879306
## 2002.808  -6.4789034   8.741078   6.73782566
## 2002.827  -8.4451765   9.247792   5.19738455
## 2002.846 -10.7775273   9.861538   6.91598959
## 2002.865 -13.7414571  10.475284   9.26617352
## 2002.885 -14.2317026  11.089029  10.14267326
## 2002.904 -14.1956324  11.702775  12.49285726
## 2002.923 -19.2790885  12.316521  14.96256754
## 2002.942 -20.6783341  12.930267  14.74806734
## 2002.962 -20.5512638  13.544013  19.00725127
## 2002.981 -23.1610357  14.157758  12.00327734
## 2003.000 -23.2966301  14.591691  10.70493945
## 2003.019 -23.6953823  15.025623  15.66975940
## 2003.038 -24.9362398  15.459555  14.47668463
## 2003.058 -23.4866185  15.893487  12.59313106
## 2003.077 -22.3360621  16.327420  13.00864243
## 2003.096 -22.7696735  16.761352  13.00832158
## 2003.115 -23.0453902  17.195284  12.85010598
## 2003.135 -20.4263700  17.629216   9.79715358
## 2003.154 -18.8910373  17.754364  11.13667364
## 2003.173 -19.3557047  17.879511  14.47619375
## 2003.192 -16.7677405  18.004658   8.76308227
## 2003.212 -14.3376710  18.129806  10.20786549
## 2003.231 -12.5027488  18.254953   5.24779600
## 2003.250 -11.1941424  18.380100  12.81404233
## 2003.269  -8.9907992  18.505247  15.48555181
## 2003.288  -4.9979822  18.630395   3.36758761
## 2003.308   3.3128666  18.584573  -3.89743979
## 2003.327  13.2026627  18.538752  -6.74141444
## 2003.346   9.1450903  18.492930  -6.63802069
## 2003.365  15.0875179  18.447109  -2.53462689
## 2003.385  13.9678809  18.401288  -0.36916838
## 2003.404  18.9008754  18.355466 -11.25634155
## 2003.423  20.9917646  18.309645  -4.30140934
## 2003.442  22.1352854  18.263823 -12.39910869
## 2003.462  24.2514733  18.242322  -5.49379524
## 2003.481  35.8413452  18.220821 -13.06216582
## 2003.500  35.0101647  18.199319 -19.20948403
## 2003.519  35.2316155  18.177818 -23.40943352
## 2003.538  30.2280088  18.156317  -9.38432555
## 2003.558  31.8559809  18.134815 -10.99079639
## 2003.577  29.5892161  18.113314  -8.70253029
## 2003.596  26.6908726  18.091813 -10.78268543
## 2003.615  26.5589802  18.145592 -14.70457258
## 2003.635  25.8481404  18.199372  -7.04751225
## 2003.654  18.1899323  18.253151  -7.44308367
## 2003.673  10.3738295  18.306931  -2.68076033
## 2003.692   1.9511407  18.360710  -5.31185099
## 2003.712  -0.7347061  18.414490   4.32021632
## 2003.731   1.5794471  18.468269  -5.04771644
## 2003.750  -2.1063997  18.522049   3.58435088
## 2003.769  -0.8095149  18.499793  -3.69027788
## 2003.788  -3.7231565  18.477537  -4.75438033
## 2003.808  -6.4789034  18.455281   9.02362247
## 2003.827  -8.4451765  18.433025   4.01215158
## 2003.846 -10.7775273  18.410769   6.36675839
## 2003.865 -13.7414571  18.388513   4.35294410
## 2003.885 -14.2317026  18.366257   6.86544562
## 2003.904 -14.1956324  18.344001   0.85163139
## 2003.923 -19.2790885  18.086547   7.19254112
## 2003.942 -20.6783341  17.829094   9.84924036
## 2003.962 -20.5512638  17.571640  13.97962373
## 2003.981 -23.1610357  17.314186   9.84684926
## 2004.000 -23.2966301  17.056733   9.23989726
## 2004.019 -23.6953823  16.799279   8.89610310
## 2004.038 -24.9362398  16.541826  14.39441422
## 2004.058 -23.4866185  16.284372  17.20224655
## 2004.077 -22.3360621  15.872908  13.46315422
## 2004.096 -22.7696735  15.461444  12.30822968
## 2004.115 -23.0453902  15.049980  10.99541039
## 2004.135 -20.4263700  14.638516  17.78785429
## 2004.154 -18.8910373  14.227052  17.66398568
## 2004.173 -19.3557047  13.815588  15.54011711
## 2004.192 -16.7677405  13.404124  16.36361696
## 2004.212 -14.3376710  12.992660  14.34501150
## 2004.231 -12.5027488  12.648563   7.85418599
## 2004.250 -11.1941424  12.304466  19.88967630
## 2004.269  -8.9907992  11.960369  15.03042976
## 2004.288  -4.9979822  11.616273   1.38170953
## 2004.308   3.3128666  11.272176  -7.58504258
## 2004.327  13.2026627  10.928079  -4.13074194
## 2004.346   9.1450903  10.583983  -5.72907290
## 2004.365  15.0875179  10.239886 -11.32740381
## 2004.385  13.9678809  10.079156 -17.04703676
## 2004.404  18.9008754   9.918426 -14.81930138
## 2004.423  20.9917646   9.757696 -20.74946062
## 2004.442  22.1352854   9.596966 -18.73225142
## 2004.462  24.2514733   9.436236  -6.68770931
## 2004.481  35.8413452   9.275506 -32.11685123
## 2004.500  35.0101647   9.114776 -26.12494077
## 2004.519  35.2316155   8.954046 -28.18566160
## 2004.538  30.2280088   9.077014 -23.30502292
## 2004.558  31.8559809   9.199982 -21.05596305
## 2004.577  29.5892161   9.322950 -21.91216624
## 2004.596  26.6908726   9.445918 -32.13679068
## 2004.615  26.5589802   9.568886 -21.12786632
## 2004.635  25.8481404   9.691854 -27.53999449
## 2004.654  18.1899323   9.814822 -22.00475441
## 2004.673  10.3738295   9.937790  -8.31161956
## 2004.692   1.9511407  10.728756   2.32010308
## 2004.712  -0.7347061  11.519722   0.21498370
## 2004.731   1.5794471  12.310689  -3.89013576
## 2004.750  -2.1063997  13.101655   4.00474487
## 2004.769  -0.8095149  13.892621   3.91689395
## 2004.788  -3.7231565  14.683587  -3.96043066
## 2004.808  -6.4789034  15.474553  -1.99565001
## 2004.827  -8.4451765  16.265520   0.17965693
## 2004.846 -10.7775273  17.593292   2.18423505
## 2004.865 -13.7414571  18.921065   6.82039207
## 2004.885 -14.2317026  20.248838   5.98286489
## 2004.904 -14.1956324  21.576610  -2.38097803
## 2004.923 -19.2790885  22.904383   0.37470534
## 2004.942 -20.6783341  24.232156   7.44617822
## 2004.962 -20.5512638  25.559929  -1.00866476
## 2004.981 -23.1610357  26.887701   1.27333440
## 2005.000 -23.2966301  27.882202   2.41442778
## 2005.019 -23.6953823  28.876703  -4.18132100
## 2005.038 -24.9362398  29.871204  -3.93496450
## 2005.058 -23.4866185  30.865705  -3.37908679
## 2005.077 -22.3360621  31.860206  -7.52414415
## 2005.096 -22.7696735  32.854707  -4.08503373
## 2005.115 -23.0453902  33.849208  -7.80381805
## 2005.135 -20.4263700  34.843709 -10.41733918
## 2005.154 -18.8910373  35.138015  -6.24697722
## 2005.173 -19.3557047  35.432320  -4.07661521
## 2005.192 -16.7677405  35.726625   2.04111521
## 2005.212 -14.3376710  36.020931   4.31674033
## 2005.231 -12.5027488  36.315236  -2.81248725
## 2005.250 -11.1941424  36.609541   4.58460097
## 2005.269  -8.9907992  36.903847  17.08695236
## 2005.288  -4.9979822  37.198152  23.79983005
## 2005.308   3.3128666  37.092128  34.59500495
## 2005.327  13.2026627  36.986105  32.81123260
## 2005.346   9.1450903  36.880081  35.97482865
## 2005.365  15.0875179  36.774057  74.13842475
## 2005.385  13.9678809  36.668034  68.36408555
## 2005.404  18.9008754  36.562010  81.53711468
## 2005.423  20.9917646  36.455986  73.55224919
## 2005.442  22.1352854  36.349962  53.51475214
## 2005.462  24.2514733  36.085416  21.66311032
## 2005.481  35.8413452  35.820870   1.33778447
## 2005.500  35.0101647  35.556324 -27.56648901
## 2005.519  35.2316155  35.291778 -15.52339377
## 2005.538  30.2280088  35.027232 -10.25524107
## 2005.558  31.8559809  34.762686 -13.61866718
## 2005.577  29.5892161  34.498140 -18.08735635
## 2005.596  26.6908726  34.233594 -17.92446676
## 2005.615  26.5589802  33.639030 -31.19801041
## 2005.635  25.8481404  33.044466 -36.89260658
## 2005.654  18.1899323  32.449902 -24.63983451
## 2005.673  10.3738295  31.855338 -29.22916767
## 2005.692   1.9511407  31.260774 -16.21191483
## 2005.712  -0.7347061  30.666210 -21.93150402
## 2005.731   1.5794471  30.071646 -18.65109328
## 2005.750  -2.1063997  29.477082 -17.37068246
## 2005.769  -0.8095149  28.533434 -10.72391950
## 2005.788  -3.7231565  27.589787  -4.86663024
## 2005.808  -6.4789034  26.646139 -11.16723572
## 2005.827  -8.4451765  25.702491  -8.25731490
## 2005.846 -10.7775273  24.758844  -4.98131636
## 2005.865 -13.7414571  23.815196  -7.07373894
## 2005.885 -14.2317026  22.871548  -1.63984570
## 2005.904 -14.1956324  21.927901  -0.73226821
## 2005.923 -19.2790885  21.066554  -1.78746576
## 2005.942 -20.6783341  20.205208   2.47312622
## 2005.962 -20.5512638  19.343862   4.20740232
## 2005.981 -23.1610357  18.482515   7.67852058
## 2006.000 -23.2966301  17.621169   6.67546131
## 2006.019 -23.6953823  16.759822   9.93555988
## 2006.038 -24.9362398  15.898476  12.03776373
## 2006.058 -23.4866185  15.037130  11.44948879
## 2006.077 -22.3360621  14.599407  14.73665555
## 2006.096 -22.7696735  14.161683  11.60799010
## 2006.115 -23.0453902  13.723960  14.32142989
## 2006.135 -20.4263700  13.286237  18.14013288
## 2006.154 -18.8910373  12.848514  11.04252335
## 2006.173 -19.3557047  12.410791  11.94491387
## 2006.192 -16.7677405  11.973068  10.79467280
## 2006.212 -14.3376710  11.535345   8.80232643
## 2006.231 -12.5027488  11.337062   5.16568699
## 2006.250 -11.1941424  11.138779   4.05536336
## 2006.269  -8.9907992  10.940496   6.05030288
## 2006.288  -4.9979822  10.742214   8.25576872
## 2006.308   3.3128666  10.543931  -1.85679733
## 2006.327  13.2026627  10.345648  -7.54831063
## 2006.346   9.1450903  10.147365  -9.29245552
## 2006.365  15.0875179   9.949082  -9.03660037
## 2006.385  13.9678809   9.959624  -5.92750526
## 2006.404  18.9008754   9.970166 -13.87104182
## 2006.423  20.9917646   9.980708  -7.97247300
## 2006.442  22.1352854   9.991250 -15.12653574
## 2006.462  24.2514733  10.001792  -1.25326557
## 2006.481  35.8413452  10.012334 -30.85367942
## 2006.500  35.0101647  10.022876 -32.03304090
## 2006.519  35.2316155  10.033418 -34.26503368
## 2006.538  30.2280088  10.330163 -26.55817225
## 2006.558  31.8559809  10.626909 -25.48288963
## 2006.577  29.5892161  10.923654 -21.51287008
## 2006.596  26.6908726  11.220399 -17.91127176
## 2006.615  26.5589802  11.517144 -26.07612466
## 2006.635  25.8481404  11.813890 -16.66203008
## 2006.654  18.1899323  12.110635 -23.30056725
## 2006.673  10.3738295  12.407380  -3.78120966
## 2006.692   1.9511407  13.191441  -5.14258146
## 2006.712  -0.7347061  13.975501  -0.24079529
## 2006.731   1.5794471  14.759562  -6.33900920
## 2006.750  -2.1063997  15.543623  -5.43722303
## 2006.769  -0.8095149  16.327683   5.48183161
## 2006.788  -3.7231565  17.111744  -2.38858745
## 2006.808  -6.4789034  17.895805  -2.41690125
## 2006.827  -8.4451765  18.679865   3.76531124
## 2006.846 -10.7775273  19.971763   4.80576391
## 2006.865 -13.7414571  21.263662   7.47779548
## 2006.885 -14.2317026  22.555560   9.67614285
## 2006.904 -14.1956324  23.847458   6.34817448
## 2006.923 -19.2790885  25.139356   6.13973239
## 2006.942 -20.6783341  26.431254  14.24707983
## 2006.962 -20.5512638  27.723152   0.82811139
## 2006.981 -23.1610357  29.015051  -2.85401490
## 2007.000 -23.2966301  30.062120   6.23451043
## 2007.019 -23.6953823  31.109189  -3.41380640
## 2007.038 -24.9362398  32.156258  -6.22001795
## 2007.058 -23.4866185  33.203327   0.28329171
## 2007.077 -22.3360621  34.250396  -3.91433370
## 2007.096 -22.7696735  35.297465   0.47220867
## 2007.115 -23.0453902  36.344534  -3.29914370
## 2007.135 -20.4263700  37.391603   4.03476712
## 2007.154 -18.8910373  37.710071  -0.81903400
## 2007.173 -19.3557047  38.028540   2.32716494
## 2007.192 -16.7677405  38.347008  12.42073228
## 2007.212 -14.3376710  38.665477   0.67219432
## 2007.231 -12.5027488  38.983945   7.51880367
## 2007.250 -11.1941424  39.302414   4.89172882
## 2007.269  -8.9907992  39.620882   9.36991712
## 2007.288  -4.9979822  39.939350   7.05863174
## 2007.308   3.3128666  39.753856  -7.06672248
## 2007.327  13.2026627  39.568361  19.22897604
## 2007.346   9.1450903  39.382867  26.47204297
## 2007.365  15.0875179  39.197372  21.71510994
## 2007.385  13.9678809  39.011878  39.02024162
## 2007.404  18.9008754  38.826383  13.27274162
## 2007.423  20.9917646  38.640888  52.36734700
## 2007.442  22.1352854  38.455394  45.40932082
## 2007.462  24.2514733  38.096571  38.65195609
## 2007.481  35.8413452  37.737748  96.42090734
## 2007.500  35.0101647  37.378924  62.61091095
## 2007.519  35.2316155  37.020101  33.74828328
## 2007.538  30.2280088  36.661278   1.11071307
## 2007.558  31.8559809  36.302455 -20.15843595
## 2007.577  29.5892161  35.943632 -17.53284802
## 2007.596  26.6908726  35.584809 -36.27568135
## 2007.615  26.5589802  34.952631 -28.51161093
## 2007.635  25.8481404  34.320453 -31.16859303
## 2007.654  18.1899323  33.688275 -34.87820688
## 2007.673  10.3738295  33.056096 -31.42992598
## 2007.692   1.9511407  32.423918 -21.37505907
## 2007.712  -0.7347061  31.791740 -14.05703419
## 2007.731   1.5794471  31.159562 -17.73900939
## 2007.750  -2.1063997  30.527384 -14.42098450
## 2007.769  -0.8095149  29.539798 -13.73028267
## 2007.788  -3.7231565  28.552211 -14.82905454
## 2007.808  -6.4789034  27.564625 -12.08572115
## 2007.827  -8.4451765  26.577038 -16.13186146
## 2007.846 -10.7775273  25.589451  -8.81192406
## 2007.865 -13.7414571  24.601865  -2.86040778
## 2007.885 -14.2317026  23.614278  -4.38257567
## 2007.904 -14.1956324  22.626692  -7.43105932
## 2007.923 -19.2790885  21.723739  -0.44465047
## 2007.942 -20.6783341  20.820786   2.85754790
## 2007.962 -20.5512638  19.917833   4.63343039
## 2007.981 -23.1610357  19.014881   7.14615504
## 2008.000 -23.2966301  18.111928   6.18470216
## 2008.019 -23.6953823  17.208975   9.48640712
## 2008.038 -24.9362398  16.306022  13.63021737
## 2008.058 -23.4866185  15.403070  10.08354882
## 2008.077 -22.3360621  15.132983  10.20307924
## 2008.096 -22.7696735  14.862896   9.90677744
## 2008.115 -23.0453902  14.592809  11.45258089
## 2008.135 -20.4263700  14.322722   8.10364754
## 2008.154 -18.8910373  14.052636   6.83840167
## 2008.173 -19.3557047  13.782549   8.57315585
## 2008.192 -16.7677405  13.512462   7.25527844
## 2008.212 -14.3376710  13.242375   4.09529572
## 2008.231 -12.5027488  13.553302   2.94944725
## 2008.250 -11.1941424  13.864228   1.32991458
## 2008.269  -8.9907992  14.175154  -1.18435493
## 2008.288  -4.9979822  14.486080  -2.48809813
## 2008.308   3.3128666  14.797007 -12.10987322
## 2008.327  13.2026627  15.107933 -13.31059555
## 2008.346   9.1450903  15.418859 -13.56394949
## 2008.365  15.0875179  15.729785 -21.81730337
## 2008.385  13.9678809  16.258792 -21.22667311
## 2008.404  18.9008754  16.787799 -23.68867453
## 2008.423  20.9917646  17.316806 -25.30857055
## 2008.442  22.1352854  17.845813 -26.98109815
## 2008.462  24.2514733  18.374820 -29.62629283
## 2008.481  35.8413452  18.903826 -34.74517153
## 2008.500  35.0101647  19.432833 -26.44299787
## 2008.519  35.2316155  19.961840 -10.19345549
## 2008.538  30.2280088  20.468934 -22.69694238
## 2008.558  31.8559809  20.976027 -18.83200807
## 2008.577  29.5892161  21.483121 -10.07233683
## 2008.596  26.6908726  21.990214 -12.68108683
## 2008.615  26.5589802  22.497308 -11.05628804
## 2008.635  25.8481404  23.004401  -0.85254178
## 2008.654  18.1899323  23.511495 -14.70142726
## 2008.673  10.3738295  24.018588 -11.39241798
## 2008.692   1.9511407  24.595332   1.45352737
## 2008.712  -0.7347061  25.172075  17.56263069
## 2008.731   1.5794471  25.748819   2.67173394
## 2008.750  -2.1063997  26.325562  -6.21916273
## 2008.769  -0.8095149  26.902306  11.90720906
## 2008.788  -3.7231565  27.479049   4.24410715
## 2008.808  -6.4789034  28.055793  14.42311051
## 2008.827  -8.4451765  28.632536  23.81264016
## 2008.846 -10.7775273  29.307332  22.47019553
## 2008.865 -13.7414571  29.982127  18.75932979
## 2008.885 -14.2317026  30.656923  11.57477987
## 2008.904 -14.1956324  31.331718  10.86391419
## 2008.923 -19.2790885  32.006514   9.27257481
## 2008.942 -20.6783341  32.681309  13.99702494
## 2008.962 -20.5512638  33.356105  11.19515920
## 2008.981 -23.1610357  34.030900  -1.86986439
## 2009.000 -23.2966301  34.771239   9.52539159
## 2009.019 -23.6953823  35.511577  -1.81619459
## 2009.038 -24.9362398  36.251915   3.68432450
## 2009.058 -23.4866185  36.992254  -9.50563519
## 
## $weights
##   [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [71] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [106] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [141] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [176] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [211] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [246] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [281] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [316] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [351] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [386] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [421] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [456] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [491] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [526] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [561] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [596] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [631] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [666] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [701] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [736] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [771] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [806] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [841] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [876] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [911] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [946] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [981] 1 1 1 1 1 1 1 1 1
## 
## $call
## stl(x = tsdengue, s.window = "periodic")
## 
## $win
##    s    t    l 
## 9891   79   53 
## 
## $deg
## s t l 
## 0 1 1 
## 
## $jump
##   s   t   l 
## 990   8   6
plot(forecast(pred.dengue), xlab = "Año", ylab = "Casos", flty = 2)

#ARIMA
pred.arima <- auto.arima(x = tsdengue)
predict(pred.arima, n.ahead = 52, se.fit = TRUE)
## $pred
## Time Series:
## Start = c(2009, 5) 
## End = c(2010, 4) 
## Frequency = 52 
##  [1]  2.6961171  1.7557436  1.0775366  0.5884069  0.2356416 -0.0187763
##  [7] -0.2022651 -0.3345990 -0.4300396 -0.4988724 -0.5485152 -0.5843182
## [13] -0.6101396 -0.6287623 -0.6421931 -0.6518796 -0.6588656 -0.6639040
## [19] -0.6675377 -0.6701584 -0.6720484 -0.6734116 -0.6743947 -0.6751037
## [25] -0.6756150 -0.6759838 -0.6762498 -0.6764416 -0.6765800 -0.6766798
## [31] -0.6767517 -0.6768036 -0.6768410 -0.6768680 -0.6768875 -0.6769016
## [37] -0.6769117 -0.6769190 -0.6769243 -0.6769281 -0.6769308 -0.6769328
## [43] -0.6769342 -0.6769352 -0.6769360 -0.6769365 -0.6769369 -0.6769372
## [49] -0.6769374 -0.6769375 -0.6769376 -0.6769377
## 
## $se
## Time Series:
## Start = c(2009, 5) 
## End = c(2010, 4) 
## Frequency = 52 
##  [1]  13.22874  19.78333  25.30471  30.23543  34.73805  38.89925  42.77584
##  [8]  46.40964  49.83344  53.07388  56.15304  59.08944  61.89878  64.59440
## [15]  67.18778  69.68875  72.10585  74.44649  76.71713  78.92343  81.07040
## [22]  83.16243  85.20345  87.19695  89.14605  91.05355  92.92198  94.75364
## [29]  96.55060  98.31475 100.04782 101.75139 103.42691 105.07573 106.69907
## [36] 108.29809 109.87385 111.42732 112.95943 114.47104 115.96295 117.43591
## [43] 118.89062 120.32774 121.74790 123.15169 124.53965 125.91232 127.27018
## [50] 128.61370 129.94334 131.25951
dengue.for <- forecast(object = pred.arima, h = 52)
plot(dengue.for)