RUN: GREE001 FILE NAMES FILE PROCESSED: run_me DATA FILE PROCESSED: GREE005N.rwl.conv LOG FILE PROCESSED: GREE005N.rwl.conv_log OPTION PLOT TREE-RING DATA TYPE 1 !TUCSON RING-WIDTH FORMAT MISSING DATA IN GAPS -9 0 !MISSING VALUES ESTIMATED (NO PLOTS) DATA TRANSFORMATION 0 0 !NO DATA TRANSFORMATION (NO PLOTS) FIRST DETRENDING 1 0 !1ST-NEG EXPONENTIAL CURVE, NO = OPT 3 SECOND DETRENDING -67 0 !2ND-SPLINE CURVE (PCT N 50% CUTOFF) ROBUST DETRENDING 1 !NON-ROBUST DETRENDING METHODS USED INTERACTIVE DETREND 0 !NO INTERACTIVE DETRENDING INDEX CALCULATION 1 !TREE-RING INDICES OR RATIOS (Rt/Gt) AR MODELING METHOD 1 0 !NON-ROBUST AUTOREGRESSIVE MODELING POOLED AR ORDER 0 0 !MINIMUM AIC POOLED AR MODEL ORDER FIT SERIES AR ORDER 0 !POOLED AR ORDER FIT TO ALL SERIES MEAN CHRONOLOGY 2 0 !ROBUST CHRONOLOGY (NO BIWEIGHT PLOTS) STABILIZE VARIANCE 1 !RBAR WEIGHTED STABILIZATION METHOD COMMON PERIOD YEARS 0 0 !NO COMMON PERIOD ANALYSIS PERFORMED SITE-TREE-CORE MASK SSSTTCC !SITE-TREE-CORE SEPARATION MASK RUNNING RBAR 50 25 0 !RUNNING RBAR WINDOW/OVERLAP (NO PLOTS) PRINTOUT OPTION 2 !SUMMARY & SERIES STATISTICS PRINTED CORE SERIES SAVE 1 !SERIES SAVED IN TUCSON RAW DATA FORMAT SUMMARY PLOT DISPLAYS 0 !NO SPAGHETTI AND MEAN CHRONOLOGY PLOTS STAND DYNAMICS ANALYSES 0 !NO STAND DYNAMICS ANALYSES DONE RUNNING MEAN WINDOW WIDTH 0 !RUNNING MEAN WINDOW WIDTH PERCENT GROWTH CHANGE 0 !PERCENT GROWTH CHANGE THRESHOLD STANDARD ERROR THRESHOLD 0 !STANDARD ERROR LIMIT THRESHOLD |======================== RAW DATA STATISTICAL ANALYSES =======================| |------------------- TREE-RING SERIES READ IN FOR PROCESSING ------------------| DATA HEADER LINES: 652 1 Olympos Oros DENSITY_MINIMUM PILE - 652 2 Greece Bosnian pine, greybark pine, pino loricato 2250 4005-2225 158 652 3 FRITZ SCHWEINGRUBER - |------------ SERIES GAPS FOUND BASED ON ANY NEGATIVE NUMBER FOUND ------------| SERIES IDENT RESULTS OF SCANS FOR GAPS OR MISSING VALUES 1 652011 MISSING VALUES FOUND: 5 IN 1 GAPS / 1749 1753 / -------------------------------------------------------------------- 3 652021 MISSING VALUES FOUND: 6 IN 1 GAPS / 1751 1756 / -------------------------------------------------------------------- 5 652031 MISSING VALUES FOUND: 2 IN 2 GAPS / 1766 1766 / 1861 1861 / -------------------------------------------------------------------- 12 652062 MISSING VALUES FOUND: 1 IN 1 GAPS / 1879 1879 / -------------------------------------------------------------------- 13 652071 MISSING VALUES FOUND: 6 IN 1 GAPS / 1881 1886 / -------------------------------------------------------------------- 16 652082 MISSING VALUES FOUND: 5 IN 1 GAPS / 1962 1966 / -------------------------------------------------------------------- 18 652092 MISSING VALUES FOUND: 5 IN 1 GAPS / 1821 1825 / -------------------------------------------------------------------- 19 652101 MISSING VALUES FOUND: 1 IN 1 GAPS / 1832 1832 / -------------------------------------------------------------------- 27 652141 MISSING VALUES FOUND: 1 IN 1 GAPS / 1812 1812 / -------------------------------------------------------------------- 28 652142 MISSING VALUES FOUND: 1 IN 1 GAPS / 1911 1911 / -------------------------------------------------------------------- 29 652151 MISSING VALUES FOUND: 7 IN 1 GAPS / 1705 1711 / -------------------------------------------------------------------- |------------------ STATISTICS OF RAW TREE-RING MEASUREMENTS ------------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 652011 1745 1981 237 0.425 0.024 0.981 4.977 0.044 0.460 2 652012 1771 1981 211 0.446 0.027 0.837 4.864 0.042 0.529 3 652021 1693 1981 289 0.402 0.030 -0.144 3.269 0.050 0.604 4 652022 1647 1981 335 0.429 0.038 0.503 2.896 0.049 0.729 5 652031 1583 1981 399 0.425 0.028 0.769 4.115 0.054 0.372 6 652032 1595 1981 387 0.425 0.028 0.053 5.621 0.051 0.417 7 652041 1723 1981 259 0.390 0.021 -0.009 2.662 0.040 0.559 8 652042 1678 1981 304 0.400 0.018 -0.149 2.942 0.039 0.425 9 652051 1883 1981 99 0.445 0.048 1.429 4.731 0.048 0.819 10 652052 1859 1981 123 0.420 0.043 0.689 3.585 0.056 0.751 11 652061 1687 1981 295 0.479 0.027 0.434 4.455 0.042 0.525 12 652062 1698 1981 284 0.481 0.023 0.070 3.041 0.037 0.519 13 652071 1760 1981 222 0.453 0.020 -0.238 3.009 0.033 0.537 14 652072 1738 1981 244 0.459 0.017 0.232 3.157 0.035 0.228 15 652081 1802 1981 180 0.398 0.024 0.686 3.789 0.048 0.462 16 652082 1792 1981 190 0.422 0.020 0.578 4.930 0.044 0.269 17 652091 1854 1981 128 0.430 0.033 -0.403 3.342 0.040 0.759 18 652092 1808 1981 174 0.432 0.021 -0.212 2.653 0.032 0.634 19 652101 1807 1981 175 0.451 0.021 -0.131 4.371 0.038 0.394 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 652102 1769 1981 213 0.448 0.024 -0.074 3.467 0.037 0.638 21 652111 1945 1981 37 0.454 0.026 0.636 3.453 0.060 0.150 22 652112 1942 1981 40 0.439 0.057 1.554 4.797 0.075 0.622 23 652121 1941 1981 41 0.424 0.025 0.357 3.373 0.070 -0.050 24 652122 1937 1981 45 0.469 0.045 0.782 3.269 0.067 0.610 25 652131 1928 1981 54 0.506 0.049 0.929 3.429 0.058 0.654 26 652132 1928 1981 54 0.532 0.041 0.908 3.224 0.061 0.393 27 652141 1777 1981 205 0.437 0.040 -5.435 55.646 0.058 0.381 28 652142 1765 1981 217 0.462 0.022 -0.062 3.115 0.039 0.461 29 652151 1594 1981 388 0.410 0.025 0.301 4.279 0.049 0.444 30 652152 1609 1981 373 0.402 0.031 -0.068 2.753 0.044 0.721 NUMBER OF SERIES READ IN: 30 FROM 1583 TO 1981 399 YEARS |---------------- SUMMARY OF RAW TREE-RING SERIES STATISTICS ------------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 205 0.440 0.030 0.193 5.440 0.048 0.501 STANDARD DEVIATION 111 0.032 0.010 1.177 9.517 0.011 0.192 MEDIAN (50TH QUANTILE) 212 0.435 0.026 0.329 3.441 0.046 0.522 INTERQUARTILE RANGE 160 0.032 0.016 0.843 1.340 0.017 0.240 MINIMUM VALUE 37 0.390 0.017 -5.435 2.653 0.032 -0.050 LOWER HINGE (25TH QUANTILE) 123 0.422 0.022 -0.074 3.115 0.039 0.394 UPPER HINGE (75TH QUANTILE) 283 0.454 0.038 0.769 4.455 0.056 0.634 MAXIMUM VALUE 397 0.532 0.057 1.554 55.646 0.075 0.819 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD SKEWESS KURTOSIS MINIMUM MAXIMUM CORRS RBAR DEVIATION ERROR COEFF COEFF CORR CORR 435 0.253 0.220 0.011 -0.331 3.753 -0.631 0.845 MINIMUM CORRELATION: -0.631 SERIES 652052 AND 652112 40 YEARS MAXIMUM CORRELATION: 0.845 SERIES 652111 AND 652112 37 YEARS PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 100.00 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 35.47 |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1640. 1665. 1690. 1715. 1740. 1765. 1790. 1815. 1840. 1865. CORR 6. 6. 10. 21. 36. 55. 91. 136. 210. 210. RBAR 0.342 0.239 0.375 0.202 0.219 0.199 0.286 0.277 0.234 0.277 SDEV 0.117 0.110 0.121 0.198 0.207 0.218 0.222 0.215 0.197 0.196 SERR 0.048 0.045 0.038 0.043 0.034 0.029 0.023 0.018 0.014 0.013 EPS 0.694 0.619 0.809 0.699 0.753 0.778 0.876 0.885 0.867 0.896 NSS 4.4 5.2 7.1 9.2 10.9 14.1 17.6 20.0 21.3 22.5 YEAR 1890. 1915. 1940. CORR 253. 276. 276. RBAR 0.256 0.246 0.224 SDEV 0.184 0.196 0.173 SERR 0.012 0.012 0.010 EPS 0.890 0.889 0.888 NSS 23.6 24.5 27.4 |======================== RAW DATA CHRONOLOGY STATISTICS ======================| |----------------- ROBUST MEAN RAW DATA CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1583 1981 399 0.428 0.019 0.405 4.719 0.032 0.566 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED 0.131 0.086 -0.005 61 338 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.21 0.36 1.00 1.10 1.47 8.08 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS 0.91 0.13 0.00 0.87 1.00 1.00 |--------------------- SEGMENT LENGTH SUMMARY STATISTICS ----------------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LENGTH RANGE LENGTH HINGE HINGE LENGTH 212. 166. 37. 123. 289. 399. |----------- RAW DATA CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF 0.564 0.549 0.567 0.529 0.487 0.487 0.421 0.386 0.399 0.365 PACF 0.564 0.339 0.283 0.152 0.061 0.076 -0.037 -0.041 0.040 0.010 95% C.L. 0.100 0.128 0.150 0.170 0.186 0.198 0.210 0.218 0.225 0.232 |------------------ RAW DATA CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 6 0.503 0.170 0.157 0.206 0.160 0.073 0.111 |================== DETRENDED DATA CURVE FITS AND STATISTICS ==================| |------------------------ RESULTS OF FIRST DETRENDING -------------------------| |--------------- GROWTH CURVE USED FOR DETRENDING TREE-RING DATA --------------| CURVE OPTION -2: REGIONAL CURVE DETRENDING F(I) = ONE AGE-ALIGNED CURVE CURVE OPTION -1: FIRST-DIFFERENCES F(I) = Y(I) - Y(I-1) CURVE OPTION 1: NEG EXPON CURVE, NO = OPT 3 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 2: NEG EXPON CURVE, NO = OPT 4 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 3: LINEAR REGRESSION (ANY SLOPE) F(I) = +/-C*T(I) + D CURVE OPTION 4: LINEAR REGRESSION (NEG SLOPE) F(I) = -C*T(I) + D CURVE OPTION 5: HORIZONTAL LINE THROUGH MEAN F(I) = MEAN(Y(I)) = D CURVE OPTION 6: HUGERSHOFF GROWTH FUNCTION F(I) = A*T(I)**B * EXP(C*T(I)) CURVE OPTION 7: GENERAL EXPONENTIAL CURVE F(I) = A*T(I) * EXP(-B*T(I)) CURVE OPTION >9: CUBIC SMOOTHING SPLINE FIXED 50 PCT VARIANCE CUTOFF CURVE OPTION <-9: CUBIC SMOOTHING SPLINE PCT N 50 PCT VARIANCE CUTOFF SERIES IDENT OPTION A B C D 1 652011 3 0.00000000 0.00000000 -0.00011240 0.43852529 2 652012 3 0.00000000 0.00000000 -0.00017394 0.46474069 3 652021 3 0.00000000 0.00000000 -0.00015933 0.42529202 4 652022 3 0.00000000 0.00000000 0.00001239 0.42699292 5 652031 3 0.00000000 0.00000000 0.00001106 0.42272979 6 652032 3 0.00000000 0.00000000 0.00009206 0.40736005 7 652041 3 0.00000000 0.00000000 0.00014693 0.37124720 8 652042 3 0.00000000 0.00000000 -0.00005027 0.40717235 9 652051 1 0.19778873 0.07254016 0.00000000 0.41801172 10 652052 1 0.13927692 0.04296279 0.00000000 0.39393082 11 652061 3 0.00000000 0.00000000 0.00007816 0.46697474 12 652062 3 0.00000000 0.00000000 0.00005095 0.47382218 13 652071 3 0.00000000 0.00000000 0.00004507 0.44753549 14 652072 3 0.00000000 0.00000000 0.00002239 0.45619208 15 652081 3 0.00000000 0.00000000 0.00008883 0.38973868 16 652082 3 0.00000000 0.00000000 -0.00003660 0.42510733 17 652091 1 0.27085286 0.00305937 0.00000000 0.20592879 18 652092 3 0.00000000 0.00000000 -0.00029226 0.45790330 19 652101 3 0.00000000 0.00000000 -0.00010239 0.45980692 SERIES IDENT OPTION A B C D 20 652102 3 0.00000000 0.00000000 0.00012550 0.43460006 21 652111 1 0.07877474 0.20720208 0.00000000 0.44508126 22 652112 1 0.24602546 0.18166055 0.00000000 0.40814614 23 652121 3 0.00000000 0.00000000 -0.00034669 0.43142682 24 652122 1 0.14166693 0.07805427 0.00000000 0.43126661 25 652131 1 0.17165004 0.07761764 0.00000000 0.46713802 26 652132 1 0.09588721 0.05992434 0.00000000 0.50441492 27 652141 3 0.00000000 0.00000000 -0.00025299 0.46315295 28 652142 3 0.00000000 0.00000000 -0.00007657 0.47056422 29 652151 3 0.00000000 0.00000000 -0.00012900 0.43600631 30 652152 3 0.00000000 0.00000000 -0.00018696 0.43673137 |-------------------- STATISTICS OF SINGLE TREE-RING SERIES -------------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 652011 1745 1981 237 1.000 0.053 0.856 4.963 0.044 0.394 2 652012 1771 1981 211 1.000 0.055 0.610 5.195 0.042 0.432 3 652021 1693 1981 289 1.000 0.065 0.119 3.014 0.050 0.502 4 652022 1647 1981 335 1.000 0.089 0.510 2.879 0.049 0.727 5 652031 1583 1981 399 1.000 0.067 0.779 4.084 0.054 0.379 6 652032 1595 1981 387 1.000 0.061 -0.030 5.620 0.051 0.317 7 652041 1723 1981 259 1.000 0.046 0.239 2.635 0.040 0.400 8 652042 1678 1981 304 1.000 0.045 -0.048 2.901 0.039 0.387 9 652051 1883 1981 99 1.000 0.047 -0.109 3.126 0.048 0.224 10 652052 1859 1981 123 1.000 0.064 -0.196 2.931 0.056 0.414 11 652061 1687 1981 295 1.000 0.055 0.444 4.263 0.042 0.495 12 652062 1698 1981 284 1.000 0.047 0.266 3.293 0.037 0.503 13 652071 1760 1981 222 1.000 0.043 -0.189 3.112 0.033 0.523 14 652072 1738 1981 244 1.000 0.036 0.231 3.182 0.035 0.219 15 652081 1802 1981 180 1.000 0.058 0.610 3.832 0.048 0.438 16 652082 1792 1981 190 1.000 0.048 0.503 4.648 0.044 0.282 17 652091 1854 1981 128 1.000 0.051 -0.317 6.188 0.041 0.429 18 652092 1808 1981 174 1.000 0.034 0.185 2.649 0.032 0.275 19 652101 1807 1981 175 1.000 0.045 -0.414 5.364 0.039 0.353 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 652102 1769 1981 213 1.000 0.050 0.233 3.248 0.037 0.587 21 652111 1945 1981 37 1.000 0.045 0.375 2.987 0.059 -0.275 22 652112 1942 1981 40 1.000 0.062 0.496 4.226 0.071 -0.221 23 652121 1941 1981 41 1.000 0.059 0.134 2.896 0.068 -0.058 24 652122 1937 1981 45 1.000 0.060 0.299 4.640 0.065 0.098 25 652131 1928 1981 54 1.000 0.052 0.835 4.036 0.057 -0.008 26 652132 1928 1981 54 1.000 0.062 1.610 5.065 0.060 0.063 27 652141 1777 1981 205 1.000 0.086 -6.557 71.197 0.059 0.267 28 652142 1765 1981 217 1.000 0.047 -0.151 3.372 0.039 0.426 29 652151 1594 1981 388 1.000 0.050 0.669 4.735 0.049 0.192 30 652152 1609 1981 373 1.000 0.060 0.400 2.935 0.044 0.532 |---------------- SUMMARY OF SINGLE TREE-RING SERIES STATISTICS ---------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 207 1.000 0.055 0.080 6.107 0.048 0.310 STANDARD DEVIATION 112 0.000 0.012 1.322 12.334 0.011 0.231 MEDIAN (50TH QUANTILE) 212 1.000 0.053 0.252 3.602 0.046 0.383 INTERQUARTILE RANGE 166 0.000 0.014 0.559 1.748 0.016 0.219 MINIMUM VALUE 37 1.000 0.034 -6.557 2.635 0.032 -0.275 LOWER HINGE (25TH QUANTILE) 123 1.000 0.047 -0.048 2.987 0.039 0.219 UPPER HINGE (75TH QUANTILE) 289 1.000 0.061 0.510 4.735 0.056 0.438 MAXIMUM VALUE 399 1.000 0.089 1.610 71.197 0.071 0.727 |------------------------ RESULTS OF SECOND DETRENDING ------------------------| |--------------- GROWTH CURVE USED FOR DETRENDING TREE-RING DATA --------------| CURVE OPTION -2: REGIONAL CURVE DETRENDING F(I) = ONE AGE-ALIGNED CURVE CURVE OPTION -1: FIRST-DIFFERENCES F(I) = Y(I) - Y(I-1) CURVE OPTION 1: NEG EXPON CURVE, NO = OPT 3 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 2: NEG EXPON CURVE, NO = OPT 4 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 3: LINEAR REGRESSION (ANY SLOPE) F(I) = +/-C*T(I) + D CURVE OPTION 4: LINEAR REGRESSION (NEG SLOPE) F(I) = -C*T(I) + D CURVE OPTION 5: HORIZONTAL LINE THROUGH MEAN F(I) = MEAN(Y(I)) = D CURVE OPTION 6: HUGERSHOFF GROWTH FUNCTION F(I) = A*T(I)**B * EXP(C*T(I)) CURVE OPTION 7: GENERAL EXPONENTIAL CURVE F(I) = A*T(I) * EXP(-B*T(I)) CURVE OPTION >9: CUBIC SMOOTHING SPLINE FIXED 50 PCT VARIANCE CUTOFF CURVE OPTION <-9: CUBIC SMOOTHING SPLINE PCT N 50 PCT VARIANCE CUTOFF SERIES IDENT OPTION A B C D 1 652011 -67 158 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 2 652012 -67 141 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 3 652021 -67 193 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 4 652022 -67 224 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 5 652031 -67 267 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 6 652032 -67 259 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 7 652041 -67 173 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 8 652042 -67 203 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 9 652051 -67 66 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 10 652052 -67 82 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 11 652061 -67 197 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 12 652062 -67 190 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 13 652071 -67 148 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 14 652072 -67 163 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 15 652081 -67 120 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 16 652082 -67 127 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 17 652091 -67 85 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 18 652092 -67 116 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 19 652101 -67 117 SMOOTHING SPLINE CURVE AND WINDOW WIDTH SERIES IDENT OPTION A B C D 20 652102 -67 142 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 21 652111 -67 24 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 22 652112 -67 26 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 23 652121 -67 27 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 24 652122 -67 30 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 25 652131 -67 36 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 26 652132 -67 36 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 27 652141 -67 137 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 28 652142 -67 145 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 29 652151 -67 259 SMOOTHING SPLINE CURVE AND WINDOW WIDTH 30 652152 -67 249 SMOOTHING SPLINE CURVE AND WINDOW WIDTH |-------------------- STATISTICS OF SINGLE TREE-RING SERIES -------------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 652011 1745 1981 237 1.000 0.052 0.797 4.876 0.044 0.368 2 652012 1771 1981 211 1.000 0.050 0.936 5.579 0.042 0.332 3 652021 1693 1981 289 1.000 0.055 0.576 3.725 0.050 0.293 4 652022 1647 1981 335 1.000 0.068 0.867 4.277 0.049 0.512 5 652031 1583 1981 399 1.000 0.058 0.836 4.779 0.054 0.195 6 652032 1595 1981 387 1.000 0.056 0.290 6.738 0.051 0.192 7 652041 1723 1981 259 1.000 0.040 0.156 2.772 0.040 0.201 8 652042 1678 1981 304 1.000 0.043 -0.131 3.003 0.039 0.319 9 652051 1883 1981 99 1.000 0.045 -0.230 3.021 0.048 0.136 10 652052 1859 1981 123 1.000 0.055 -0.079 2.960 0.056 0.213 11 652061 1687 1981 295 1.000 0.049 0.521 5.209 0.042 0.365 12 652062 1698 1981 284 1.000 0.045 0.292 3.436 0.037 0.449 13 652071 1760 1981 222 1.000 0.038 -0.095 3.361 0.033 0.395 14 652072 1738 1981 244 1.000 0.036 0.220 3.194 0.035 0.198 15 652081 1802 1981 180 1.000 0.056 0.410 3.587 0.048 0.407 16 652082 1792 1981 190 1.000 0.046 0.495 4.800 0.044 0.230 17 652091 1854 1981 128 1.000 0.048 -0.460 6.307 0.040 0.342 18 652092 1808 1981 174 1.000 0.033 0.148 2.547 0.032 0.234 19 652101 1807 1981 175 1.000 0.042 -0.529 5.835 0.040 0.251 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 652102 1769 1981 213 1.000 0.040 -0.061 3.037 0.037 0.351 21 652111 1945 1981 37 1.000 0.045 0.552 3.139 0.059 -0.328 22 652112 1942 1981 40 1.000 0.061 0.568 4.193 0.071 -0.262 23 652121 1941 1981 41 1.000 0.057 0.102 2.698 0.068 -0.118 24 652122 1937 1981 45 1.000 0.055 0.205 4.306 0.065 -0.067 25 652131 1928 1981 54 1.000 0.051 0.771 3.943 0.057 -0.048 26 652132 1928 1981 54 1.000 0.061 1.620 5.021 0.060 0.028 27 652141 1777 1981 205 1.000 0.084 -7.022 77.897 0.059 0.226 28 652142 1765 1981 217 1.000 0.039 0.051 2.907 0.039 0.175 29 652151 1594 1981 388 1.000 0.047 0.720 4.942 0.049 0.121 30 652152 1609 1981 373 1.000 0.050 0.187 3.090 0.044 0.342 |---------------- SUMMARY OF SINGLE TREE-RING SERIES STATISTICS ---------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 207 1.000 0.050 0.090 6.506 0.048 0.202 STANDARD DEVIATION 112 0.000 0.010 1.418 13.532 0.010 0.201 MEDIAN (50TH QUANTILE) 212 1.000 0.049 0.255 3.834 0.046 0.228 INTERQUARTILE RANGE 166 0.000 0.013 0.637 1.906 0.016 0.206 MINIMUM VALUE 37 1.000 0.033 -7.022 2.547 0.032 -0.328 LOWER HINGE (25TH QUANTILE) 123 1.000 0.043 -0.061 3.037 0.040 0.136 UPPER HINGE (75TH QUANTILE) 289 1.000 0.056 0.576 4.942 0.056 0.342 MAXIMUM VALUE 399 1.000 0.084 1.620 77.897 0.071 0.512 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD SKEWESS KURTOSIS MINIMUM MAXIMUM CORRS RBAR DEVIATION ERROR COEFF COEFF CORR CORR 435 0.230 0.141 0.007 0.227 4.392 -0.282 0.816 MINIMUM CORRELATION: -0.282 SERIES 652122 AND 652151 45 YEARS MAXIMUM CORRELATION: 0.816 SERIES 652121 AND 652122 41 YEARS PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 100.00 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 35.47 |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1640. 1665. 1690. 1715. 1740. 1765. 1790. 1815. 1840. 1865. CORR 6. 6. 10. 21. 36. 55. 91. 136. 210. 210. RBAR 0.314 0.291 0.386 0.213 0.253 0.171 0.254 0.260 0.244 0.273 SDEV 0.115 0.079 0.118 0.191 0.205 0.195 0.190 0.195 0.185 0.181 SERR 0.047 0.032 0.037 0.042 0.034 0.026 0.020 0.017 0.013 0.013 EPS 0.667 0.679 0.816 0.713 0.786 0.744 0.857 0.876 0.874 0.894 NSS 4.4 5.2 7.1 9.2 10.9 14.1 17.6 20.0 21.3 22.5 YEAR 1890. 1915. 1940. CORR 253. 276. 276. RBAR 0.258 0.251 0.198 SDEV 0.164 0.178 0.165 SERR 0.010 0.011 0.010 EPS 0.891 0.892 0.871 NSS 23.6 24.5 27.4 |======================== STANDARD CHRONOLOGY STATISTICS ======================| *** VARIANCE STABILIZED WITH BRIFFA RBAR-WEIGHTED METHOD *** |----------------- ROBUST MEAN STANDARD CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1583 1981 399 1.000 0.032 0.251 3.308 0.033 0.197 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED 0.072 0.035 0.003 113 286 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.17 0.47 1.00 1.06 1.54 14.79 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS 0.92 0.13 0.00 0.87 1.00 1.00 |----------- STANDARD CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF 0.197 0.202 0.247 0.205 0.174 0.169 0.085 0.117 0.105 0.088 PACF 0.197 0.170 0.193 0.119 0.071 0.058 -0.037 0.021 0.016 0.016 95% C.L. 0.100 0.104 0.108 0.113 0.117 0.120 0.122 0.123 0.124 0.125 |------------------ STANDARD CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 5 0.132 0.092 0.108 0.172 0.122 0.084 |======================= POOLED AUTOREGRESSION ANALYSIS =======================| POOLED AUTOCORRELATIONS: LAG T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 0.014 0.067 0.104 0.158 0.099 0.062 -0.094 0.057 -0.025 0.006 YULE-WALKER ESTIMATES OF AUTOREGRESSION: ORDER T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 1 0.014 2 0.013 0.067 3 0.006 0.065 0.103 4 -0.009 0.055 0.102 0.154 5 -0.023 0.046 0.097 0.155 0.089 6 -0.026 0.040 0.093 0.153 0.090 0.037 7 -0.021 0.053 0.115 0.166 0.095 0.033 -0.140 8 -0.021 0.053 0.114 0.165 0.095 0.033 -0.140 0.004 9 -0.020 0.045 0.116 0.171 0.104 0.039 -0.137 0.003 -0.055 10 -0.020 0.045 0.116 0.171 0.104 0.039 -0.137 0.003 -0.055 0.002 LAST TERM IN EACH ROW ABOVE EQUALS THE PARTIAL AUTOCORRELATION COEFFICIENT AKAIKE INFORMATION CRITERION: AR( 0) AR( 1) AR( 2) AR( 3) AR( 4) AR( 5) 1753.37 1755.29 1755.52 1753.30 1745.74 1744.58 AR( 6) AR( 7) AR( 8) AR( 9) AR(10) 1746.04 1740.12 1742.12 1742.91 1744.91 SELECTED AUTOREGRESSION ORDER: 5 AR ORDER SELECTION CRITERION: IPP=0 FIRST-MINIMUM AIC SELECTION THE AIC TRACE SHOULD BE CHECKED TO SEE IF AR ORDER SELECTION CRITERION IS ADEQUATE. E.G. IF AR-ORDERS OF THE FIRST-MINIMUM AND THE FULL-MINIMUM AIC ARE CLOSE, AN ARSTAN RUN WITH FULL-MINIMUM AIC ORDER SELECTION MIGHT BE TRIED AUTOREGRESSION COEFFICIENTS: T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 -0.023 0.046 0.097 0.155 0.089 R-SQUARED DUE TO POOLED AUTOREGRESSION: 4.60 PCT VARIANCE INFLATION FROM AUTOREGRESSION: 104.82 PCT IMPULSE RESPONSE FUNCTION WEIGHTS FOR THIS AR ( 5) PROCESS OUT TO ORDER 50: 1.0000 -0.023 0.047 0.095 0.152 0.091 0.019 0.037 0.041 0.030 0.0158 0.012 0.013 0.010 0.007 0.005 0.004 0.003 0.003 0.002 0.0015 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.0001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 |================== INDIVIDUAL SERIES AUTOREGRESSION ANALYSES =================| |---------------- INDIVIDUAL SERIES AUTOREGRESSIVE COEFFICIENTS ---------------| SERIES IDENT ORDER RSQ t-1 t-2 t-3 ..... t-IP 1 652011 5 0.272 0.180 0.126 0.265 0.113 0.018 2 652012 5 0.179 0.228 0.160 0.054 0.152 0.005 3 652021 5 0.138 0.209 0.203 0.085 0.010 -0.008 4 652022 5 0.364 0.301 0.191 0.106 0.026 0.147 5 652031 5 0.123 0.111 0.170 0.043 0.159 0.071 6 652032 5 0.153 0.079 0.150 0.177 0.100 0.078 7 652041 5 0.088 0.169 0.102 0.007 -0.006 0.184 8 652042 5 0.183 0.188 0.166 0.161 0.066 0.035 9 652051 5 0.031 0.123 0.109 -0.009 -0.035 0.013 10 652052 5 0.088 0.181 0.107 0.014 0.125 -0.025 11 652061 5 0.172 0.282 0.151 0.017 0.077 0.043 12 652062 5 0.263 0.308 0.172 0.076 0.029 0.094 13 652071 5 0.237 0.254 0.100 0.124 0.080 0.131 14 652072 5 0.075 0.175 0.112 -0.013 0.135 -0.021 15 652081 5 0.192 0.402 -0.016 0.091 -0.052 -0.125 16 652082 5 0.139 0.164 0.153 -0.028 0.206 0.062 17 652091 5 0.168 0.298 0.101 0.039 0.155 -0.115 18 652092 5 0.082 0.226 -0.007 0.120 0.053 -0.060 19 652101 5 0.114 0.192 0.229 0.007 0.005 0.003 SERIES IDENT ORDER RSQ t-1 t-2 t-3 ..... t-IP 20 652102 5 0.161 0.278 0.118 0.108 0.052 -0.034 21 652111 5 0.367 -0.567 -0.473 -0.408 -0.405 -0.439 22 652112 5 0.173 -0.270 -0.138 -0.149 -0.034 -0.291 23 652121 5 0.358 -0.378 -0.501 -0.351 -0.527 -0.223 24 652122 5 0.096 -0.147 -0.142 -0.245 -0.190 -0.086 25 652131 5 0.113 -0.082 -0.341 -0.054 -0.160 0.009 26 652132 5 0.057 0.033 0.025 0.058 -0.086 0.019 27 652141 5 0.085 0.182 0.035 0.119 0.082 0.050 28 652142 5 0.051 0.176 0.003 0.045 0.070 -0.101 29 652151 5 0.086 0.051 0.143 0.149 0.061 0.087 30 652152 5 0.213 0.190 0.147 0.151 0.150 0.020 |------------- SUMMARY STATISTICS FOR AUTOREGRESSIVE COEFFICIENTS -------------| ORDER RSQ t-1 t-2 t-3 ..... t-IP ARITHMETIC MEAN 5 0.161 0.118 0.045 0.025 0.014 -0.015 STANDARD DEVIATION 0 0.091 0.213 0.187 0.147 0.160 0.129 MEDIAN 5 0.146 0.180 0.110 0.050 0.057 0.011 INTERQUARTILE RANGE 0 0.104 0.149 0.150 0.128 0.147 0.122 MINIMUM VALUE 5 0.031 -0.567 -0.501 -0.408 -0.527 -0.439 LOWER HINGE 5 0.088 0.079 0.003 -0.009 -0.034 -0.060 UPPER HINGE 5 0.192 0.228 0.153 0.119 0.113 0.062 MAXIMUM VALUE 5 0.367 0.402 0.229 0.265 0.206 0.184 |------------------- STATISTICS OF PREWHITENED TREE-RING DATA -----------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 652011 1745 1981 237 1.000 0.044 0.476 4.206 0.049 0.000 2 652012 1771 1981 211 1.000 0.045 0.786 5.130 0.048 -0.002 3 652021 1693 1981 289 1.000 0.051 0.525 3.597 0.055 -0.002 4 652022 1647 1981 335 1.000 0.054 0.935 6.204 0.057 0.004 5 652031 1583 1981 399 1.000 0.055 0.781 5.533 0.058 -0.007 6 652032 1595 1981 387 1.000 0.052 0.192 7.020 0.054 -0.012 7 652041 1723 1981 259 1.000 0.038 0.181 2.907 0.043 -0.009 8 652042 1678 1981 304 1.000 0.039 -0.095 3.118 0.043 0.000 9 652051 1883 1981 99 1.000 0.044 -0.311 3.112 0.051 -0.001 10 652052 1859 1981 123 1.000 0.053 -0.095 2.820 0.060 -0.004 11 652061 1687 1981 295 1.000 0.044 0.546 5.447 0.049 0.000 12 652062 1698 1981 284 1.000 0.038 0.306 4.174 0.043 -0.001 13 652071 1760 1981 222 1.000 0.034 -0.082 2.921 0.038 0.002 14 652072 1738 1981 244 1.000 0.034 0.140 2.809 0.038 -0.002 15 652081 1802 1981 180 1.000 0.051 0.172 3.307 0.058 0.006 16 652082 1792 1981 190 1.000 0.043 0.698 5.760 0.047 0.002 17 652091 1854 1981 128 1.000 0.044 -0.691 6.057 0.048 0.012 18 652092 1808 1981 174 1.000 0.031 0.194 2.542 0.036 0.005 19 652101 1807 1981 175 1.000 0.039 -0.451 5.388 0.043 -0.001 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 652102 1769 1981 213 1.000 0.037 -0.128 2.913 0.043 -0.006 21 652111 1945 1981 37 1.000 0.035 0.228 3.179 0.041 0.020 22 652112 1942 1981 40 1.000 0.056 0.533 4.078 0.057 0.017 23 652121 1941 1981 41 1.000 0.045 -0.221 3.011 0.052 0.034 24 652122 1937 1981 45 1.000 0.053 -0.073 3.466 0.058 0.003 25 652131 1928 1981 54 1.000 0.048 0.578 3.941 0.052 -0.011 26 652132 1928 1981 54 1.000 0.060 1.625 5.118 0.060 0.003 27 652141 1777 1981 205 1.000 0.080 -7.126 80.424 0.062 0.000 28 652142 1765 1981 217 1.000 0.038 0.014 2.834 0.043 -0.007 29 652151 1594 1981 388 1.000 0.045 0.633 4.739 0.050 -0.001 30 652152 1609 1981 373 1.000 0.045 0.153 3.551 0.049 -0.002 |------------- SUMMARY OF PREWHITENED TREE-RING SERIES STATISTICS -------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 207 1.000 0.046 0.014 6.644 0.049 0.001 STANDARD DEVIATION 112 0.000 0.010 1.427 13.990 0.007 0.009 MEDIAN (50TH QUANTILE) 212 1.000 0.045 0.187 3.769 0.049 -0.001 INTERQUARTILE RANGE 166 0.000 0.013 0.641 2.378 0.013 0.005 MINIMUM VALUE 37 1.000 0.031 -7.126 2.542 0.036 -0.012 LOWER HINGE (25TH QUANTILE) 123 1.000 0.038 -0.095 3.011 0.043 -0.002 UPPER HINGE (75TH QUANTILE) 289 1.000 0.052 0.546 5.388 0.057 0.003 MAXIMUM VALUE 399 1.000 0.080 1.625 80.424 0.062 0.034 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD SKEWESS KURTOSIS MINIMUM MAXIMUM CORRS RBAR DEVIATION ERROR COEFF COEFF CORR CORR 435 0.245 0.139 0.007 -0.535 4.689 -0.336 0.690 MINIMUM CORRELATION: -0.336 SERIES 652122 AND 652151 45 YEARS MAXIMUM CORRELATION: 0.690 SERIES 652131 AND 652132 54 YEARS PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 100.00 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 35.47 |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1640. 1665. 1690. 1715. 1740. 1765. 1790. 1815. 1840. 1865. CORR 6. 6. 10. 21. 36. 55. 91. 136. 210. 210. RBAR 0.273 0.353 0.306 0.266 0.313 0.202 0.300 0.296 0.309 0.341 SDEV 0.140 0.098 0.111 0.127 0.141 0.160 0.155 0.146 0.135 0.143 SERR 0.057 0.040 0.035 0.028 0.023 0.022 0.016 0.013 0.009 0.010 EPS 0.621 0.738 0.758 0.768 0.832 0.781 0.883 0.894 0.905 0.921 NSS 4.4 5.2 7.1 9.2 10.9 14.1 17.6 20.0 21.3 22.5 YEAR 1890. 1915. 1940. CORR 253. 276. 276. RBAR 0.277 0.275 0.238 SDEV 0.150 0.149 0.149 SERR 0.009 0.009 0.009 EPS 0.901 0.903 0.895 NSS 23.6 24.5 27.4 |======================== RESIDUAL CHRONOLOGY STATISTICS ======================| *** VARIANCE STABILIZED WITH BRIFFA RBAR-WEIGHTED METHOD *** |----------------- ROBUST MEAN RESIDUAL CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1583 1981 399 0.999 0.028 0.156 3.042 0.034 -0.102 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED 0.115 0.059 -0.025 107 292 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.25 0.60 1.00 1.08 1.67 20.37 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS 0.93 0.13 0.00 0.87 1.00 1.00 |----------- RESIDUAL CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF -0.102 -0.050 0.052 0.000 0.013 0.047 -0.031 0.007 0.013 0.022 PACF -0.102 -0.061 0.041 0.007 0.019 0.050 -0.020 0.005 0.007 0.026 95% C.L. 0.100 0.101 0.101 0.102 0.102 0.102 0.102 0.102 0.102 0.102 |------------------ RESIDUAL CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 1 0.014 -0.103 |---------- REWHITENED CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS -----------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF 0.000 0.002 -0.002 0.005 0.003 0.045 -0.024 0.005 0.023 0.029 PACF 0.000 0.002 -0.002 0.005 0.003 0.045 -0.024 0.005 0.023 0.028 95% C.L. 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 |----------------- REWHITENED CHRONOLOGY AUTOREGRESSIVE MODEL -----------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 5 0.002 0.000 0.002 -0.002 0.006 0.004 |========================= ARSTAN CHRONOLOGY STATISTICS =======================| |----------------- ROBUST MEAN ARSTAN CHRONOLOGY STATISTICS -------------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1583 1981 399 1.000 0.029 0.200 3.186 0.032 0.032 |------------ ARSTAN CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS -------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF 0.031 0.086 0.114 0.171 0.110 0.090 0.033 0.048 0.054 0.055 PACF 0.031 0.085 0.110 0.161 0.092 0.056 -0.016 -0.009 0.006 0.020 95% C.L. 0.100 0.100 0.101 0.102 0.105 0.106 0.107 0.107 0.107 0.108 |------------------- ARSTAN CHRONOLOGY AUTOREGRESSIVE MODEL -------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 5 0.063 -0.017 0.058 0.102 0.168 0.101 |================ AS JIM MORRISON WOULD SAY, "THIS IS THE END" ================| ELAPSED TIME OF TURBO ARSTAN RUN: 0.40 MINUTES