Mesoamerican 1238 Year June PDSI Reconstructions ----------------------------------------------------------------------- World Data Center for Paleoclimatology, Boulder and NOAA Paleoclimatology Program ----------------------------------------------------------------------- NOTE: PLEASE CITE ORIGINAL REFERENCE WHEN USING THIS DATA!!!!! NAME OF DATA SET: Mesoamerican 1238 Year June PDSI Reconstructions LAST UPDATE: 5/2011 (Original receipt by WDC Paleo) CONTRIBUTORS: Stahle, D.W., J.V. Diaz, D.J. Burnette, J.C. Paredes, R.R. Heim Jr., F.K. Fye, R. Acuna Soto, M.D. Therrell, M.K. Cleaveland, and D.K. Stahle. IGBP PAGES/WDCA CONTRIBUTION SERIES NUMBER: 2011-074 WDC PALEO CONTRIBUTION SERIES CITATION: Stahle, D.W., et al. 2011. Mesoamerican 1238 Year June PDSI Reconstructions. IGBP PAGES/World Data Center for Paleoclimatology Data Contribution Series # 2011-074. NOAA/NCDC Paleoclimatology Program, Boulder CO, USA. ORIGINAL REFERENCE: Stahle, D.W., J.V. Diaz, D.J. Burnette, J.C. Paredes, R.R. Heim Jr., F.K. Fye, R. Acuna Soto, M.D. Therrell, M.K. Cleaveland, and D.K. Stahle. 2011. Major Mesoamerican droughts of the past millennium. Geophysical Research Letters, Vol. 38, L05703, doi:10.1029/2010GL046472. ABSTRACT: Ancient Montezuma baldcypress (Taxodium mucronatum) trees found in Barranca de Amealco, Queretaro, have been used to develop a 1,238-year treering chronology that is correlated with precipitation, temperature, drought indices, and crop yields in central Mexico. This chronology has been used to reconstruct the spring-early summer soil moisture balance over the heartland of the Mesoamerican cultural province, and is the first exactly dated, annually resolved paleoclimatic record for Mesoamerica spanning the Late Classic, Post Classic, Colonial, and modern eras. The reconstruction indicates that the Terminal Classic drought extended into central Mexico, supporting other sedimentary and speleothem evidence for this early 10th century drought in Mesoamerica. The reconstruction also documents severe and sustained drought during the decline of the Toltec state (1149-1167) and during the Spanish conquest of the Aztec state (1514-1539), providing a new precisely dated climate framework for Mesoamerican cultural change. GEOGRAPHIC REGION: Central Mexico PERIOD OF RECORD: 771 - 2008 AD FUNDING SOURCES: US National Science Foundation Paleoclimatology Program (ATM-0753399), Inter-American Institute for Global Change Research (CRN II 2047, US NSF GEO-0452325). DESCRIPTION: Tree ring reconstruction of June Palmer Drought Severity Index (PDSI) for central Mexico for the past 1238 years. Also archived are the instrumental June PDSI, extracted for 84 grid locations in central Mexico from the R.R. Heim, Jr., half degree monthly PDSI data set for North America, the standard tree-ring chronology from Barranca de Amealco, and the calibration and verification statistics for the whitened and final reddened reconstructions. The gridpoints range from 16.8°N to 21.3°N, and from 96.3°W to 102.3°W. DATA: 1. Mesoamerican instrumental, tree ring, intermediate, and final reconstructed PDSI time series. Column 1: Year AD Column 2. Instrumental June PDSI extracted for 84 grid locations in central Mexico from the R.R. Heim, Jr., half degree monthly PDSI data set for North America. The exact grid points used to compute the regional average for central Mexico are listed in Table 3 on page 3 of this workbook. Column 3: Standard tree-ring chronology from Barranca de Amealco Column 4: Whitened instrumental June PDSI data ('whitened' = serially random residuals from an autoregressive model of order p fit to the original time series). Column 5: Whitened tree-ring chronology (whitened using the coefficients of the AR(2) model calculated from the instrumental June PDSI, 1973-2003). Column 6: Reconstructed whitened June PDSI (based on a calibration between the serially random predictor and predictand time series). Column 7: Final reddened June PDSI reconstruction after the AR(2) persistence structure of the predictand was added back in and the variance lost in regression was restored. Column 8: 30-year spline fit to the final June PDSI reconstruction Year Inst.PDSI TRcrn Inst.PDSIw TRcrnW ReconPDSIw ReconPDSIf PDSI30yrSpline 771 1.32 0.42 1.726 2.236 0.4932 772 1.013 0.113 0.46 0.862 0.3999 773 0.983 0.083 0.336 -0.613 0.3102 774 1.123 0.223 0.914 0.266 0.2277 775 1.081 0.181 0.741 0.968 0.1553 776 0.902 0.002 0.002 -0.085 0.0958 777 0.762 -0.138 -0.575 -1.351 0.0529 778 0.797 -0.103 -0.431 -1.059 0.03 779 0.729 -0.171 -0.711 -0.734 0.0283 780 0.845 -0.055 -0.233 -0.226 0.0469 781 0.63 -0.27 -1.12 -1.253 0.0833 782 1.115 0.215 0.881 0.54 0.1342 783 0.987 0.087 0.353 0.884 0.1946 784 1.172 0.272 1.116 1.051 0.2597 785 1.121 0.221 0.906 0.701 0.3261 786 0.795 -0.105 -0.439 -1.017 0.3916 787 1.121 0.221 0.906 0.218 0.4544 788 1.059 0.159 0.65 1.031 0.511 789 0.888 -0.012 -0.056 -0.113 0.5572 790 1.059 0.159 0.65 0.022 0.5891 791 1.009 0.109 0.444 0.335 0.6022 792 1.286 0.386 1.586 1.674 0.5906 793 1.457 0.557 2.292 2.712 0.5485 794 1.976 1.076 4.432 4.857 0.4721 795 1.407 0.507 2.085 2.277 0.362 796 1.086 0.186 0.761 -0.913 0.2257 797 0.913 0.013 0.048 -1.447 0.0743 798 0.937 0.037 0.147 -0.049 -0.0823 799 0.882 -0.018 -0.08 0.311 -0.2369 800 0.688 -0.212 -0.881 -1.139 -0.3822 801 0.671 -0.229 -0.951 -1.777 -0.5105 802 0.482 -0.418 -1.73 -2.197 -0.6155 803 0.541 -0.359 -1.487 -1.746 -0.6931 804 0.601 -0.299 -1.239 -1.149 -0.7419 805 0.587 -0.313 -1.297 -1.255 -0.7627 806 0.593 -0.307 -1.272 -1.523 -0.7572 807 0.712 -0.188 -0.782 -0.985 -0.7282 808 0.706 -0.194 -0.806 -0.746 -0.6795 809 0.826 -0.074 -0.311 -0.352 -0.6157 810 0.83 -0.07 -0.295 -0.333 -0.5415 811 0.886 -0.014 -0.064 -0.239 -0.461 812 1.087 0.187 0.765 0.732 -0.3782 813 0.822 -0.078 -0.328 -0.302 -0.296 814 0.745 -0.155 -0.645 -1.385 -0.2162 815 0.892 -0.008 -0.039 -0.52 -0.1403 816 0.963 0.063 0.254 0.539 -0.0717 817 1.018 0.118 0.481 0.702 -0.0142 818 1.126 0.226 0.926 0.783 0.0291 819 1.244 0.344 1.413 1.293 0.0564 820 1.094 0.194 0.794 0.683 0.0678 821 1.272 0.372 1.528 1.133 0.0652 822 0.969 0.069 0.279 0.092 0.0519 823 0.793 -0.107 -0.447 -1.229 0.0331 824 1.013 0.113 0.46 -0.08 0.0138 825 0.801 -0.099 -0.414 -0.179 -0.0026 826 1.067 0.167 0.683 0.541 -0.0133 827 0.951 0.051 0.204 0.23 -0.0156 828 0.772 -0.128 -0.534 -1.026 -0.006 829 0.786 -0.114 -0.476 -1.163 0.0191 830 0.761 -0.139 -0.579 -0.756 0.0617 831 0.759 -0.141 -0.588 -0.593 0.1219 832 0.666 -0.234 -0.971 -1.172 0.1977 833 0.902 0.002 0.002 -0.284 0.286 834 0.962 0.062 0.25 0.504 0.381 835 1.009 0.109 0.444 0.544 0.4763 836 1.437 0.537 2.209 2.232 0.5651 837 1.098 0.198 0.811 1.067 0.6415 838 1.006 0.106 0.431 -0.446 0.7016 839 1.184 0.284 1.165 0.508 0.7426 840 1.147 0.247 1.013 1.272 0.7601 841 1.446 0.546 2.246 2.472 0.749 842 1.695 0.795 3.273 3.638 0.7057 843 1.417 0.517 2.127 2.1 0.6298 844 1.651 0.751 3.092 2.268 0.5254 845 0.991 0.091 0.369 -0.13 0.4004 846 0.853 -0.047 -0.2 -1.515 0.265 847 0.85 -0.05 -0.212 -0.831 0.1287 848 0.716 -0.184 -0.765 -0.66 -0.0016 849 0.574 -0.326 -1.351 -1.594 -0.1212 850 0.713 -0.187 -0.777 -1.265 -0.227 851 0.98 0.08 0.324 0.51 -0.3181 852 0.944 0.044 0.175 0.676 -0.3954 853 0.897 -0.003 -0.018 -0.297 -0.4587 854 0.875 -0.025 -0.109 -0.742 -0.506 855 0.688 -0.212 -0.881 -1.315 -0.5348 856 0.714 -0.186 -0.773 -1.148 -0.5433 857 0.683 -0.217 -0.901 -0.993 -0.5307 858 0.616 -0.284 -1.178 -1.344 -0.4977 859 0.823 -0.077 -0.324 -0.527 -0.4457 860 0.692 -0.208 -0.864 -0.768 -0.3777 861 0.92 0.02 0.076 -0.118 -0.2969 862 0.703 -0.197 -0.819 -0.863 -0.2072 863 1.023 0.123 0.501 0.162 -0.1125 864 0.875 -0.025 -0.109 0.073 -0.0174 865 0.985 0.085 0.345 0.112 0.0738 866 1.002 0.102 0.415 0.243 0.1566 867 1.235 0.335 1.376 1.367 0.2271 868 1.266 0.366 1.504 1.763 0.2817 869 1.05 0.15 0.613 0.341 0.3185 870 0.843 -0.057 -0.241 -1.207 0.3383 871 1.258 0.358 1.471 0.978 0.3417 872 1.16 0.26 1.066 1.802 0.3276 873 1.248 0.348 1.429 1.466 0.2954 874 1.413 0.513 2.11 1.788 0.2475 875 1.013 0.113 0.46 0.128 0.1883 876 0.854 -0.046 -0.196 -1.224 0.1248 877 0.734 -0.166 -0.691 -1.419 0.0638 878 1.037 0.137 0.559 0.573 0.0101 879 0.799 -0.101 -0.423 0.074 -0.0339 880 0.851 -0.049 -0.208 -0.708 -0.0653 881 0.565 -0.335 -1.388 -2.056 -0.0812 882 0.724 -0.176 -0.732 -1.318 -0.0803 883 0.82 -0.08 -0.336 -0.057 -0.064 884 0.661 -0.239 -0.992 -0.798 -0.0363 885 0.852 -0.048 -0.204 -0.659 -0.0016 886 0.926 0.026 0.101 0.062 0.0343 887 1.328 0.428 1.759 2.104 0.0647 888 1.238 0.338 1.388 1.912 0.0833 889 1.043 0.143 0.584 0.018 0.087 890 1.016 0.116 0.472 -0.541 0.0757 891 1.11 0.21 0.86 0.601 0.0497 892 1.135 0.235 0.963 1.283 0.0085 893 0.505 -0.395 -1.635 -2.033 -0.0474 894 1.323 0.423 1.739 0.638 -0.1164 895 1.155 0.255 1.046 2.057 -0.1987 896 1.055 0.155 0.633 0.772 -0.2934 897 0.84 -0.06 -0.254 -1.236 -0.3963 898 0.798 -0.102 -0.427 -1.407 -0.5013 899 0.752 -0.148 -0.617 -0.772 -0.6032 900 0.744 -0.156 -0.65 -0.56 -0.6985 901 0.532 -0.368 -1.524 -1.792 -0.784 902 0.603 -0.297 -1.231 -1.887 -0.8568 903 0.643 -0.257 -1.066 -1.17 -0.9155 904 0.688 -0.212 -0.881 -0.719 -0.9605 905 0.78 -0.12 -0.501 -0.48 -0.9927 906 0.694 -0.206 -0.856 -1.026 -1.0126 907 0.604 -0.296 -1.227 -1.709 -1.0202 908 0.618 -0.282 -1.169 -1.584 -1.0152 909 0.749 -0.151 -0.629 -0.622 -0.9986 910 0.627 -0.273 -1.132 -0.994 -0.9723 911 0.888 -0.012 -0.056 -0.289 -0.9377 912 0.919 0.019 0.072 0.218 -0.896 913 0.691 -0.209 -0.868 -1.042 -0.8472 914 0.675 -0.225 -0.934 -1.689 -0.7898 915 0.555 -0.345 -1.429 -1.87 -0.7225 916 0.884 -0.016 -0.072 -0.068 -0.6453 917 0.594 -0.306 -1.268 -0.871 -0.5601 918 0.782 -0.118 -0.493 -1.007 -0.4684 919 0.827 -0.073 -0.307 -0.47 -0.372 920 0.877 -0.023 -0.101 -0.025 -0.2738 921 0.911 0.011 0.039 0.016 -0.1766 922 0.87 -0.03 -0.13 -0.366 -0.083 923 1.092 0.192 0.786 0.565 0.0046 924 1.065 0.165 0.675 0.863 0.0838 925 0.939 0.039 0.155 -0.072 0.153 926 1.217 0.317 1.302 0.859 0.2116 927 1.06 0.16 0.654 0.787 0.2594 928 0.997 0.097 0.394 0.051 0.297 929 0.855 -0.045 -0.192 -0.792 0.3258 930 1.423 0.523 2.151 2.004 0.3467 931 0.939 0.039 0.155 0.849 0.3597 932 1.302 0.402 1.652 1.002 0.3665 933 0.816 -0.084 -0.353 -0.745 0.3704 934 0.967 0.067 0.27 -0.574 0.3753 935 1.216 0.316 1.297 1.438 0.3834 936 0.814 -0.086 -0.361 0.003 0.3958 937 0.966 0.066 0.266 -0.57 0.4145 938 1.242 0.342 1.405 1.228 0.441 939 0.707 -0.193 -0.802 -0.564 0.4757 940 0.895 -0.005 -0.027 -0.968 0.5192 941 0.863 -0.037 -0.159 -0.426 0.5709 942 1.181 0.281 1.153 1.412 0.6271 943 1.108 0.208 0.852 1.325 0.6832 944 0.764 -0.136 -0.567 -1.156 0.735 945 1.195 0.295 1.211 0.251 0.7791 946 1.292 0.392 1.611 2.208 0.8095 947 1.457 0.557 2.292 2.895 0.8194 948 1.4 0.5 2.056 1.934 0.8044 949 1.285 0.385 1.582 0.818 0.7635 950 1.548 0.648 2.667 2.193 0.6979 951 1.095 0.195 0.798 0.918 0.6095 952 1.064 0.164 0.67 -0.194 0.5025 953 1.089 0.189 0.774 0.194 0.3816 954 1.283 0.383 1.574 1.719 0.2506 955 1.019 0.119 0.485 0.708 0.1136 956 0.794 -0.106 -0.443 -1.319 -0.0237 957 0.909 0.009 0.031 -0.874 -0.1546 958 0.69 -0.21 -0.872 -0.883 -0.2739 959 0.82 -0.08 -0.336 -0.468 -0.3782 960 0.675 -0.225 -0.934 -1.039 -0.4651 961 0.846 -0.054 -0.229 -0.57 -0.5326 962 0.703 -0.197 -0.819 -0.864 -0.5796 963 0.089 -0.811 -3.351 -4.069 -0.6052 964 0.872 -0.028 -0.122 -1.096 -0.61 965 0.851 -0.049 -0.208 1.054 -0.5994 966 0.877 -0.023 -0.101 0.431 -0.5799 967 0.906 0.006 0.019 -0.565 -0.5557 968 0.96 0.06 0.241 -0.302 -0.5293 969 0.83 -0.07 -0.295 -0.401 -0.5027 970 1.168 0.268 1.099 1.059 -0.4777 971 0.94 0.04 0.159 0.42 -0.4551 972 0.9 0 -0.006 -0.599 -0.4338 973 0.636 -0.264 -1.095 -1.844 -0.411 974 0.763 -0.137 -0.571 -1.124 -0.3841 975 0.99 0.09 0.365 0.708 -0.353 976 0.751 -0.149 -0.621 -0.249 -0.3183 977 0.896 -0.004 -0.023 -0.644 -0.2796 978 0.863 -0.037 -0.159 -0.479 -0.2363 979 1.033 0.133 0.543 0.551 -0.1882 980 0.895 -0.005 -0.027 0.102 -0.1353 981 1.234 0.334 1.372 1.127 -0.0767 982 0.723 -0.177 -0.736 -0.817 -0.0104 983 0.597 -0.303 -1.256 -2.406 0.0667 984 0.638 -0.262 -1.087 -1.774 0.1563 985 0.78 -0.12 -0.501 -0.214 0.2563 986 1.082 0.182 0.745 1.362 0.3609 987 1.015 0.115 0.468 0.774 0.4636 988 1.21 0.31 1.273 0.833 0.559 989 0.837 -0.063 -0.266 -0.658 0.6425 990 1.797 0.897 3.694 3.465 0.7096 991 1.452 0.552 2.271 3.622 0.7551 992 1.124 0.224 0.918 0.26 0.7779 993 1.05 0.15 0.613 -1.08 0.7811 994 1.171 0.271 1.112 0.636 0.7676 995 1.305 0.405 1.665 2.342 0.7377 996 1.214 0.314 1.289 1.605 0.6915 997 1.206 0.306 1.256 0.601 0.6312 998 0.972 0.072 0.291 -0.453 0.5609 999 1.12 0.22 0.901 0.411 0.4846 1000 0.868 -0.032 -0.138 -0.076 0.4048 1001 1.299 0.399 1.64 1.45 0.3235 1002 0.786 -0.114 -0.476 -0.35 0.2426 1003 0.776 -0.124 -0.518 -1.574 0.1649 1004 0.754 -0.146 -0.608 -1.205 0.0923 1005 1.23 0.33 1.355 1.704 0.0238 1006 1.164 0.264 1.083 2.019 -0.0431 1007 0.868 -0.032 -0.138 -0.603 -0.1088 1008 0.472 -0.428 -1.772 -3.341 -0.1702 1009 0.932 0.032 0.126 -0.729 -0.2258 1010 1.348 0.448 1.842 3.187 -0.2779 1011 1.011 0.111 0.452 1.485 -0.3299 1012 0.861 -0.039 -0.167 -1.448 -0.3798 1013 0.866 -0.034 -0.146 -1.461 -0.4228 1014 0.941 0.041 0.163 0.205 -0.4553 1015 0.453 -0.447 -1.85 -1.649 -0.475 1016 0.993 0.093 0.378 -0.34 -0.4795 1017 0.589 -0.311 -1.289 -1.068 -0.4676 1018 0.759 -0.141 -0.588 -1.048 -0.4385 1019 0.789 -0.111 -0.464 -0.573 -0.3925 1020 0.684 -0.216 -0.897 -0.951 -0.3308 1021 0.599 -0.301 -1.248 -1.671 -0.2551 1022 1.032 0.132 0.538 0.357 -0.1687 1023 1.015 0.115 0.468 1.153 -0.0763 1024 0.791 -0.109 -0.456 -0.602 0.0174 1025 0.753 -0.147 -0.612 -1.618 0.1098 1026 1.253 0.353 1.45 1.264 0.1971 1027 1.098 0.198 0.811 1.772 0.2735 1028 1.181 0.281 1.153 1.011 0.3343 1029 1.155 0.255 1.046 0.453 0.3776 1030 0.888 -0.012 -0.056 -0.626 0.4025 1031 0.984 0.084 0.34 -0.215 0.4085 1032 1.377 0.477 1.962 2.247 0.3933 1033 1.397 0.497 2.044 2.83 0.3542 1034 1.357 0.457 1.879 1.695 0.2914 1035 1.117 0.217 0.889 -0.015 0.2094 1036 1.103 0.203 0.831 -0.04 0.115 1037 1.067 0.167 0.683 0.55 0.0155 1038 0.95 0.05 0.2 0.166 -0.0822 1039 0.698 -0.202 -0.839 -1.399 -0.1704 1040 0.66 -0.24 -0.996 -1.835 -0.2413 1041 0.364 -0.536 -2.217 -2.657 -0.289 1042 0.785 -0.115 -0.48 -0.687 -0.3111 1043 0.675 -0.225 -0.934 -0.303 -0.3086 1044 0.785 -0.115 -0.48 -0.559 -0.2838 1045 0.755 -0.145 -0.604 -0.944 -0.2392 1046 0.733 -0.167 -0.695 -1.039 -0.1779 1047 0.786 -0.114 -0.476 -0.64 -0.1043 1048 1.044 0.144 0.588 0.735 -0.0242 1049 1.003 0.103 0.419 0.738 0.0558 1050 1.121 0.221 0.906 0.682 0.13 1051 1.171 0.271 1.112 0.903 0.1944 1052 1.279 0.379 1.557 1.5 0.2456 1053 1.266 0.366 1.504 1.503 0.2822 1054 1.008 0.108 0.439 0.011 0.3046 1055 1.003 0.103 0.419 -0.421 0.3155 1056 0.911 0.011 0.039 -0.307 0.317 1057 1.16 0.26 1.066 1.099 0.3101 1058 1.064 0.164 0.67 0.977 0.2951 1059 1.055 0.155 0.633 0.27 0.2733 1060 1.203 0.303 1.244 0.835 0.247 1061 0.574 -0.326 -1.351 -1.68 0.219 1062 0.729 -0.171 -0.711 -1.883 0.1923 1063 1.463 0.563 2.316 2.672 0.1669 1064 1.095 0.195 0.798 2.26 0.1403 1065 0.724 -0.176 -0.732 -1.655 0.1133 1066 1.088 0.188 0.769 -0.813 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-1.762 -0.6189 1818 0.6 -0.3 -1.244 -1.944 -0.6851 1819 0.591 -0.309 -1.281 -1.447 -0.7296 1820 0.824 -0.076 -0.32 -0.124 -0.7542 1821 0.663 -0.237 -0.984 -0.749 -0.7618 1822 0.66 -0.24 -0.996 -1.527 -0.7545 1823 0.752 -0.148 -0.617 -1.023 -0.7347 1824 1.032 0.132 0.538 0.792 -0.7056 1825 0.792 -0.108 -0.452 -0.077 -0.6708 1826 1.012 0.112 0.456 -0.084 -0.6318 1827 0.815 -0.085 -0.357 -0.631 -0.5887 1828 0.561 -0.339 -1.404 -1.982 -0.5405 1829 0.879 -0.021 -0.093 -0.597 -0.4868 1830 0.996 0.096 0.39 0.942 -0.429 1831 0.819 -0.081 -0.34 -0.098 -0.3687 1832 0.971 0.071 0.287 -0.351 -0.3057 1833 0.848 -0.052 -0.221 -0.538 -0.239 1834 0.767 -0.133 -0.555 -0.86 -0.1676 1835 0.809 -0.091 -0.381 -0.664 -0.0912 1836 0.833 -0.067 -0.282 -0.352 -0.0107 1837 0.722 -0.178 -0.74 -0.882 0.0721 1838 0.89 -0.01 -0.047 -0.369 0.1543 1839 0.809 -0.091 -0.381 -0.376 0.2314 1840 1.143 0.243 0.996 0.977 0.2981 1841 1.255 0.355 1.458 1.881 0.3481 1842 1.361 0.461 1.896 2.025 0.3762 1843 1.361 0.461 1.896 1.659 0.3802 1844 1.614 0.714 2.939 2.695 0.3606 1845 1.085 0.185 0.757 0.631 0.3211 1846 0.943 0.043 0.171 -1.071 0.2687 1847 1.171 0.271 1.112 0.472 0.2111 1848 0.903 0.003 0.006 0.384 0.1548 1849 0.567 -0.333 -1.38 -1.927 0.1058 1850 0.708 -0.192 -0.798 -1.849 0.0702 1851 0.775 -0.125 -0.522 -0.474 0.0507 1852 0.891 -0.009 -0.043 0.418 0.0469 1853 0.735 -0.165 -0.687 -0.696 0.0571 1854 0.944 0.044 0.175 -0.408 0.0798 1855 1.181 0.281 1.153 1.295 0.1123 1856 1.029 0.129 0.526 0.91 0.1517 1857 1.184 0.284 1.165 0.776 0.1964 1858 0.853 -0.047 -0.2 -0.658 0.2465 1859 0.954 0.054 0.217 -0.51 0.3028 1860 0.934 0.034 0.134 0.078 0.3648 1861 1.055 0.155 0.633 0.746 0.4307 1862 0.753 -0.147 -0.612 -0.767 0.4979 1863 0.855 -0.045 -0.192 -0.997 0.5641 1864 0.795 -0.105 -0.439 -0.665 0.6246 1865 1.301 0.401 1.648 1.93 0.6722 1866 1.525 0.625 2.572 3.553 0.6977 1867 1.572 0.672 2.766 3.055 0.6941 1868 1.569 0.669 2.753 2.177 0.6592 1869 1.61 0.71 2.923 2.355 0.5954 1870 1.103 0.203 0.831 0.391 0.5081 1871 0.95 0.05 0.2 -0.951 0.4056 1872 0.973 0.073 0.295 -0.328 0.2962 1873 0.862 -0.038 -0.163 -0.083 0.1859 1874 0.783 -0.117 -0.489 -0.67 0.0799 1875 0.841 -0.059 -0.249 -0.665 -0.0179 1876 0.877 -0.023 -0.101 -0.229 -0.1044 1877 0.799 -0.101 -0.423 -0.483 -0.1781 1878 0.588 -0.312 -1.293 -1.749 -0.2375 1879 0.734 -0.166 -0.691 -1.288 -0.2822 1880 0.931 0.031 0.122 0.341 -0.3143 1881 0.864 -0.036 -0.155 0.26 -0.3373 1882 0.689 -0.211 -0.876 -1.322 -0.354 1883 1.251 0.351 1.442 0.949 -0.3666 1884 0.71 -0.19 -0.79 -0.289 -0.3779 1885 0.95 0.05 0.2 -0.507 -0.3892 1886 0.767 -0.133 -0.555 -0.879 -0.4014 1887 0.905 0.005 0.015 -0.228 -0.4158 1888 1.088 0.188 0.769 0.985 -0.434 1889 0.996 0.096 0.39 0.588 -0.4572 1890 0.751 -0.149 -0.621 -1.228 -0.4846 1891 1.3 0.4 1.644 1.061 -0.5134 1892 0.788 -0.112 -0.468 0.07 -0.5413 1893 0.785 -0.115 -0.48 -1.241 -0.5639 1894 0.576 -0.324 -1.343 -2.148 -0.5755 1895 0.589 -0.311 -1.289 -1.745 -0.572 1896 0.441 -0.459 -1.899 -1.931 -0.5516 1897 0.267 -0.633 -2.617 -2.988 -0.515 1898 1.127 0.227 0.93 0.888 -0.4659 1899 1.263 0.363 1.491 3.066 -0.4113 1900 0.916 0.016 0.06 0.276 -0.3558 1901 0.958 0.058 0.233 -1.263 -0.2991 1902 0.789 -0.111 -0.464 -1.235 -0.2395 1903 0.801 -0.099 -0.414 -0.479 -0.1763 1904 1.087 0.187 0.765 1.071 -0.1106 1905 0.99 0.09 0.365 0.695 -0.0439 1906 0.881 -0.019 -0.084 -0.619 0.0241 1907 0.85 -0.05 -0.212 -0.957 0.0945 1908 1.043 0.143 0.584 0.456 0.1679 1909 0.669 -0.231 -0.959 -0.782 0.2432 1910 0.768 -0.132 -0.551 -1.284 0.319 1911 0.958 0.058 0.233 0.036 0.3922 1912 0.885 -0.015 -0.068 0.275 0.4572 1913 1.598 0.698 2.873 3.133 0.5074 1914 1.653 0.753 3.1 4.067 0.5366 1915 1.047 0.147 0.6 0.164 0.5433 1916 1.1 0.2 0.819 -1.069 0.5309 1917 1.147 0.247 1.013 0.568 0.503 1918 1.291 0.391 1.607 2.251 0.4614 1919 0.803 -0.097 -0.406 -0.339 0.4076 1920 1.187 0.287 1.178 0.021 0.3454 1921 0.748 -0.152 -0.633 -0.803 0.2781 1922 0.979 0.079 0.32 -0.093 0.2079 1923 0.986 0.086 0.349 0.504 0.1355 1924 0.987 0.087 0.353 0.353 0.0611 1925 1.011 0.111 0.452 0.158 -0.015 1926 1.333 0.433 1.78 1.701 -0.0915 1927 0.906 0.006 0.019 0.183 -0.1665 1928 1.014 0.114 0.464 -0.411 -0.2356 1929 0.4 -0.5 -2.069 -2.807 -0.2933 1930 0.49 -0.41 -1.697 -2.767 -0.3352 1931 0.872 -0.028 -0.122 0.131 -0.3608 1932 0.832 -0.068 -0.287 0.714 -0.3735 1933 0.987 0.087 0.353 0.31 -0.3764 1934 0.816 -0.084 -0.353 -0.874 -0.3708 1935 0.655 -0.245 -1.017 -1.78 -0.3572 1936 0.946 0.046 0.184 -0.115 -0.3365 1937 1.209 0.309 1.269 1.995 -0.312 1938 0.968 0.068 0.274 0.679 -0.2862 1939 0.691 -0.209 -0.868 -1.94 -0.2582 1940 0.673 -0.227 -0.942 -2.15 -0.2258 1941 0.94 0.04 0.159 0.233 -0.1893 1942 1.12 0.22 0.901 1.833 -0.1516 1943 1.294 0.394 1.619 2.026 -0.1153 1944 0.828 -0.072 -0.303 -0.849 -0.0797 1945 1.069 0.169 0.691 -0.578 -0.0406 1946 0.53 -0.37 -1.532 -1.772 0.0054 1947 0.754 -0.146 -0.608 -1.157 0.0604 1948 0.986 0.086 0.349 0.648 0.1233 1949 1.048 0.148 0.604 1.158 0.1916 1950 -2.86 1.115 -2.216 0.215 0.881 0.807 0.2629 1951 -3.53 0.701 -2.2 -0.199 -0.827 -1.483 0.3367 1952 1.22 1.139 1.091 0.239 0.98 0.129 0.4127 1953 -2.14 0.915 -3.867 0.015 0.056 0.532 0.4884 1954 1.54 1.472 2.861 0.572 2.353 2.563 0.5606 1955 -1.44 1.025 -2.631 0.125 0.51 0.816 0.6263 1956 3.55 1.288 4.823 0.388 1.594 0.675 0.6855 1957 -1.04 0.887 -2.466 -0.013 -0.06 -0.483 0.7389 1958 1.2 0.899 3.265 -0.001 -0.01 -0.678 0.7869 1959 5.36 1.627 4.755 0.727 2.993 3.243 0.8279 1960 -1.65 0.927 -2.386 0.027 0.105 1.078 0.8587 1961 -0.01 1.436 3.033 0.536 2.205 1.145 0.8789 1962 -1.53 0.74 -2.078 -0.16 -0.666 -1.169 0.8891 1963 -0.14 1.218 0.463 0.318 1.306 0.438 0.8899 1964 0.91 1.067 0.452 0.167 0.683 1.198 0.879 1965 0.79 1.405 0.668 0.505 2.077 2.288 0.8531 1966 2.62 1.479 3.002 0.579 2.382 2.597 0.8093 1967 2.61 1.301 2.438 0.401 1.648 1.347 0.7477 1968 3.49 1.274 4.141 0.374 1.537 0.74 0.671 1969 -2.08 1.138 -1.673 0.238 0.976 0.489 0.5834 1970 -0.56 0.971 1.762 0.071 0.287 -0.1 0.4892 1971 -0.29 0.845 -0.88 -0.055 -0.233 -0.747 0.3927 1972 1.87 0.864 1.887 -0.036 -0.155 -0.57 0.2968 1973 0.67 0.981 0.219 0.081 0.328 0.325 0.2026 1974 1.35 1.266 2.195 0.366 1.504 1.842 0.1096 1975 0.87 0.998 0.991 0.098 0.398 0.583 0.0179 1976 -0.18 0.844 0.377 -0.056 -0.237 -1.172 -0.07 1977 1.04 0.751 1.669 -0.149 -0.621 -1.528 -0.1507 1978 0.2 0.836 0.025 -0.064 -0.27 -0.435 -0.2224 1979 -1.15 0.913 -0.549 0.013 0.048 0.39 -0.2856 1980 -0.88 0.928 -0.287 0.028 0.109 0.195 -0.3413 1981 2.91 1.256 2.824 0.356 1.462 1.328 -0.3894 1982 -1.37 0.556 -2.37 -0.344 -1.425 -1.596 -0.4284 1983 -3.95 0.188 -2.082 -0.712 -2.943 -4.65 -0.4549 1984 0.4 1.105 1.054 0.205 0.84 0.18 -0.4676 1985 1.77 0.941 0.079 0.041 0.163 2.09 -0.471 1986 1.24 0.984 1.125 0.084 0.34 0.649 -0.469 1987 -0.8 0.895 -0.156 -0.005 -0.027 -1.023 -0.462 1988 -1.85 0.652 -0.886 -0.248 -1.029 -1.987 -0.4479 1989 -1.82 0.768 -1.484 -0.132 -0.551 -0.95 -0.4258 1990 0.36 0.742 0.217 -0.158 -0.658 -0.358 -0.397 1991 0.21 0.856 -0.515 -0.044 -0.188 -0.12 -0.364 1992 2.77 1.297 3.063 0.397 1.632 1.773 -0.3292 1993 0.88 0.877 0.407 -0.023 -0.101 0.19 -0.2942 1994 -0.81 1.078 0.381 0.178 0.728 -0.138 -0.2574 1995 -0.68 0.936 0.125 0.036 0.142 -0.192 -0.2162 1996 -0.71 1.033 -0.698 0.133 0.543 0.402 -0.1675 1997 -0.16 0.974 -0.082 0.074 0.299 0.308 -0.1079 1998 -3.99 0.001 -4.075 -0.899 -3.714 -4.602 -0.0332 1999 -1.32 1.091 -0.113 0.191 0.782 -0.727 0.0601 2000 1.15 1.037 -0.089 0.137 0.559 2.276 0.1694 2001 0.02 0.915 -0.697 0.015 0.056 0.78 0.2903 2002 -1.12 1.124 -0.42 0.224 0.918 0.016 0.4213 2003 -0.92 1.082 -0.416 0.182 0.745 0.28 0.5617 2004 0.923 0.023 0.089 -0.061 0.7106 2005 1.012 0.112 0.456 0.15 0.8661 2006 1.489 0.589 2.424 2.625 1.0254 2007 1.419 0.519 2.135 2.874 1.1846 2008 1.109 0.209 0.856 0.36 1.3425 2. Mesoamerican PDSI Grid Point Locations Instrumental June PDSI extracted for 84 grid locations in central Mexico from the R.R. Heim, Jr., half degree monthly PDSI data set for North America. All 84 grid points used to compute the regional average June PDSI for central Mexico are listed by columns under latitude and longitude. Latitude Longitude 16.8 -98.8 16.8 -98.3 17.3 -99.8 17.3 -98.8 17.3 -98.3 17.3 -97.8 17.8 -100.3 17.8 -98.8 17.8 -98.3 17.8 -97.8 17.8 -97.3 17.8 -96.8 17.8 -96.3 18.3 -99.8 18.3 -99.3 18.3 -98.8 18.3 -98.3 18.3 -97.8 18.3 -97.3 18.3 -96.8 18.3 -96.3 18.3 -95.8 18.8 -101.3 18.8 -100.8 18.8 -100.3 18.8 -99.8 18.8 -99.3 18.8 -98.8 18.8 -98.3 18.8 -97.8 18.8 -97.3 18.8 -96.8 18.8 -96.3 18.8 -95.8 19.3 -102.3 19.3 -101.8 19.3 -101.3 19.3 -100.8 19.3 -100.3 19.3 -99.8 19.3 -98.8 19.3 -98.3 19.3 -97.8 19.8 -102.3 19.8 -101.8 19.8 -101.3 19.8 -100.8 19.8 -100.3 19.8 -99.8 19.8 -99.3 19.8 -98.8 19.8 -98.3 19.8 -97.8 19.8 -97.3 19.8 -96.8 20.3 -102.3 20.3 -101.8 20.3 -101.3 20.3 -100.8 20.3 -100.3 20.3 -99.8 20.3 -99.3 20.3 -98.8 20.3 -98.3 20.3 -97.8 20.3 -97.3 20.3 -96.8 20.8 -102.3 20.8 -101.8 20.8 -101.3 20.8 -100.8 20.8 -100.3 20.8 -99.8 20.8 -99.3 20.8 -98.8 20.8 -98.3 20.8 -97.8 21.3 -100.8 21.3 -100.3 21.3 -99.8 21.3 -99.3 21.3 -98.8 21.3 -98.3 21.3 -97.8 3. Mesoamerica PDSI reconstruction calibration and verification statistics Autoregressive Model used to Whiten instrumental June PDSI Data, AR(2) Model Mean -0.1893548 AR1 Coefficient 0.2730802 AR2 Coefficient -0.4484145 Autoregressive Model used to Whiten Tree-Ring Chronology, AR(0) Model Mean 0.9001613 Both autoregressive models were derived from 1973-2003. The coefficients of the AR(2) model computed on the instrumental data (1973-2003) were added in to the whitened reconstruction beginning with backcast values for AD 769 and 770 of -0.704 and 0.264, respectively. Calibration Run on Whitened Data B0 (Intercept) -0.006084667 B1 4.124937 B1 P-Value 8.71E-08 Adjusted R-Squared 0.620718 Residual Standard Error 0.8742623 Durbin-Watson Statistic 1.612487 Durbin-Watson P-Value 0.2741442 Verification Run on Whitened Data Correlation 0.668301 Reduction of Error 0.3967505 Coefficient of Efficiency 0.3623061 Calibration Run on Re-Reddened Data Adjusted R-Squared 0.620718 Residual Standard Error 0.9025458 Durbin-Watson Statistic 1.332308 Durbin-Watson P-Value 0.05264036 Verification Run on Re-Reddened Data Correlation 0.5376103 Reduction of Error 0.3157327 Coefficient of Efficiency 0.2762252