Chronology file name : AUST003.CRN Measurement file name : AUST003.RWL Date checked : 10MAR05 Checked by : H. ADAMS AND J. LUKAS Beginning year : 1276 Ending year : 1974 Principal investigators: GIERTZ Site name : OBERGURGL Site location : AUSTRIA Species information : NORWAY SPRUCE Latitude : 4652 Longitude : 01101 Elevation : 6726 Series intercorrelation: 0.525 Avg mean sensitivity : 0.155 Avg standard deviation : 0.496 Avg autocorrelation : 0.870 Number dated series : 115 Segment length tested : 50 Number problem segments: 66 Pct problem segments : 13.10 PART 5: CORRELATION OF SERIES BY SEGMENTS: aust003.rwl 16:41 Thu 10 Mar 2005 Page 5 ------------------------------------------------------------------------------------------------------------------------------------ Correlations of 50-year dated segments, lagged 25 years Flags: A = correlation under .3281 but highest as dated; B = correlation higher at other than dated position Seq Series Time_span 1300 1325 1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600 1625 1650 1675 1700 1725 1750 1775 1349 1374 1399 1424 1449 1474 1499 1524 1549 1574 1599 1624 1649 1674 1699 1724 1749 1774 1799 1824 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 8 107042 1789 1973 .24B 18 107121 1789 1974 .22B 19 107141 1797 1973 .08B 25 107720 1389 1524 .34 .56 .76 .71 .76 26 107730 1432 1525 .50 .67 .72 .71 27 107740 1276 1522 .45 .64 .59 .57 .63 .62 .57 .62 28 107750 1437 1525 .74 .81 .78 .77 29 107760 1388 1523 .12B .30A .53 .66 .55 30 107770 1393 1520 .30A .50 .68 .83 .80 31 107780 1679 1765 .20B .09B .06B 32 107790 1695 1765 .44 .47 .57 33 107690 1702 1866 .06B .33 .53 .56 34 107710 1323 1523 .50 .49 .56 .60 .48 .52 .64 .39 35 107800 1302 1525 .34 .43 .65 .72 .62 .56 .62 .58 .56 36 107810 1332 1525 .32A .46 .54 .58 .64 .69 .52 .51 37 107820 1319 1525 .58 .68 .61 .58 .57 .62 .72 .60 .59 38 107830 1570 1690 .33A .31A .38 .49 .30A 39 107840 1574 1692 .23A .27A .36 .58 .71 40 107850 1584 1689 .31A .39 .35 .50 41 107860 1616 1692 .25B .21B .30A 42 107870 1506 1603 .74 .77 .63 .57 43 107880 1508 1604 .65 .72 .63 .66 44 107890 1474 1603 .43 .41 .56 .63 .66 .64 45 107900 1516 1603 .60 .69 .69 .65 46 107910 1648 1767 .64 .68 .55 .36 .68 47 107920 1654 1770 .54 .63 .70 .68 48 107930 1643 1767 .69 .72 .75 .58 .61 49 107940 1471 1569 .06B .13B .20B .14B 50 107950 1353 1452 .54 .65 .68 .69 51 107960 1377 1456 .36 .39 .44 52 107970 1646 1768 .61 .70 .67 .58 .69 53 107980 1351 1471 .49 .59 .56 .29A 54 107990 1490 1574 .00B .22B .43 55 107100 1368 1566 .33 .38 .45 .61 .57 .48 .51 .44 56 107101 1471 1567 .56 .60 .57 .61 57 107102 1480 1567 .63 .71 .54 58 107103 1486 1588 .62 .69 .66 .74 59 107104 1469 1566 .63 .68 .76 .72 60 107105 1475 1586 .65 .85 .65 .59 61 107106 1497 1588 .80 .81 .77 .73 62 107107 1511 1586 .27B .38 .40 63 107108 1516 1579 .54 .71 .70 64 107109 1487 1574 .66 .82 .72 65 107110 1492 1586 .68 .74 .80 .76 66 107111 1467 1572 .61 .79 .76 .61 67 107112 1507 1574 .67 .56 68 107113 1519 1590 .44 .45 .52 69 107114 1473 1590 .69 .67 .68 .57 .55 70 107115 1510 1590 .56 .63 .66 71 107116 1454 1590 .39 .58 .70 .57 .56 72 107117 1459 1590 .48 .60 .61 .42 .42 73 107118 1505 1590 .70 .73 .62 74 107119 1442 1548 .61 .69 .74 .69 75 107120 1465 1548 .30A .29A .18B 76 107121 1429 1548 .30A .43 .71 .71 77 107122 1446 1548 .48 .48 .59 .68 78 107123 1431 1548 .60 .74 .64 .51 79 107124 1402 1520 .44 .74 .64 .55 80 107125 1474 1578 .62 .60 .70 .69 .71 81 107126 1452 1578 .25A .52 .77 .44 .38 82 107127 1478 1578 .57 .50B .36B .36 83 107128 1485 1579 .74 .69 .56 .56 84 107129 1572 1686 .11B .14B .22B .48 .57 85 107130 1355 1466 .53 .71 .63 .55 86 107700 1733 1869 .24B .27A .34 87 107680 1719 1854 .40 .40 .67 .67 88 107670 1698 1849 .22A .26A .52 .67 .49 89 107620 1502 1623 .30B .39 .43 .37 90 107600 1518 1623 .44 .48 .65 .71 91 107580 1519 1623 .44 .48 .55 .53 92 107400 1384 1462 .21B .23A .16B 93 107410 1371 1478 .27A .28A .02B-.01B .00B 94 107420 1498 1594 .74 .77 .79 .68 95 107430 1470 1594 .42 .41 .52 .57 .42 96 107440 1495 1593 .54 .57 .56 .57 97 107450 1499 1594 .68 .69 .51 .46 98 107460 1499 1587 .59 .60 .80 .77 99 107470 1491 1571 .78 .82 .64 100 107480 1488 1571 .64 .74 .68 101 107490 1473 1571 .54 .54 .76 .72 102 107500 1505 1571 .63 .65 103 107510 1484 1571 .47 .57 .53 104 107520 1479 1568 .56 .51 .46 105 107530 1463 1568 .36 .57 .66 .59 106 107540 1465 1568 .46 .47 .59 .42 107 107550 1499 1571 .43 .45 .29B 108 107560 1484 1623 .60 .55 .63 .52 .52 109 107570 1509 1624 .36 .37 .51 .56 110 107590 1504 1624 .66 .65 .56 .60 111 107610 1514 1624 .53 .70 .65 .61 112 107630 1512 1624 .55 .54 .70 .49 113 107640 1690 1860 .27B .34B .53 .52 .60 114 107650 1711 1869 .26A .52 .62 .74 115 107660 1686 1870 .37 .47 .49 .32A .57 Av segment correlation .47 .51 .50 .46 .48 .53 .54 .59 .60 .58 .56 .50 .32 .51 .56 .45 .38 .49 .51 .45 PART 5: CORRELATION OF SERIES BY SEGMENTS: aust003.rwl 16:41 Thu 10 Mar 2005 Page 6 ------------------------------------------------------------------------------------------------------------------------------------ Correlations of 50-year dated segments, lagged 25 years Flags: A = correlation under .3281 but highest as dated; B = correlation higher at other than dated position Seq Series Time_span 1800 1825 1850 1875 1900 1925 1849 1874 1899 1924 1949 1974 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 107011 1911 1974 .68 .34 2 107012 1862 1973 .54 .59 .75 .68 3 107021 1913 1974 .53 .56 4 107022 1879 1973 .54 .70 .59 5 107031 1828 1974 .56 .54 .60 .45 .25A 6 107032 1893 1973 .60 .78 .73 7 107041 1894 1974 .76 .64 .32A 8 107042 1789 1973 .36 .33B .68 .66 .75 .75 9 107051 1882 1974 .78 .81 .71 10 107052 1842 1973 .56 .59 .72 .81 .57 11 107061 1855 1974 .36 .48 .47 .41 12 107062 1873 1973 .57 .57 .68 .76 13 107071 1857 1974 .56 .75 .78 .71 14 107081 1849 1974 .32A .33 .73 .75 .61 15 107091 1838 1974 .40 .34 .57 .74 .62 16 107101 1830 1974 .32B .46 .59 .75 .67 17 107111 1858 1974 .18B .64 .68 .54 18 107121 1789 1974 .45 .53 .66 .78 .74 .58 19 107141 1797 1973 .08B .24B .37 .56 .66 .54 20 107151 1818 1974 .36 .49 .40 .57 .72 .73 21 107171 1873 1974 .68 .68 .77 .80 22 107181 1866 1974 .53 .65 .78 .64 23 107191 1871 1974 .59 .59 .65 .41 24 107201 1879 1974 .72 .62 .48 33 107690 1702 1866 .34B .35 86 107700 1733 1869 .51 .29A 87 107680 1719 1854 .58 .55 88 107670 1698 1849 .43 113 107640 1690 1860 .68 .56 114 107650 1711 1869 .66 .52 115 107660 1686 1870 .67 .53 Av segment correlation .47 .44 .49 .64 .69 .58 PART 7: DESCRIPTIVE STATISTICS: aust003.rwl 16:41 Thu 10 Mar 2005 Page 11 ------------------------------------------------------------------------------------------------------------------------------------ Corr //-------- Unfiltered --------\\ //---- Filtered -----\\ No. No. No. with Mean Max Std Auto Mean Max Std Auto AR Seq Series Interval Years Segmt Flags Master msmt msmt dev corr sens value dev corr () --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- 1 107011 1911 1974 64 2 0 .416 1.17 1.65 .258 .249 .206 2.31 .336 -.045 1 2 107012 1862 1973 112 4 0 .616 2.84 6.20 1.084 .867 .153 2.43 .299 .044 1 3 107021 1913 1974 62 2 0 .555 .69 .98 .155 .663 .161 2.57 .570 -.027 1 4 107022 1879 1973 95 3 0 .557 3.80 9.90 1.476 .813 .181 2.57 .466 -.076 1 5 107031 1828 1974 147 5 1 .458 .28 .73 .133 .876 .171 2.76 .523 .033 1 6 107032 1893 1973 81 3 0 .680 5.13 9.90 1.798 .725 .218 2.58 .424 .037 1 7 107041 1894 1974 81 3 1 .534 .68 1.35 .257 .820 .161 2.66 .461 -.018 1 8 107042 1789 1973 185 7 2 .544 3.25 9.70 2.141 .940 .158 2.70 .378 -.058 1 9 107051 1882 1974 93 3 0 .734 .54 .95 .149 .744 .161 2.69 .479 -.001 1 10 107052 1842 1973 132 5 0 .578 3.72 9.20 1.618 .901 .139 2.50 .365 -.018 1 11 107061 1855 1974 120 4 0 .410 .59 1.40 .295 .898 .174 2.56 .416 -.025 1 12 107062 1873 1973 101 4 0 .667 4.97 8.40 1.183 .648 .168 2.54 .370 .030 1 13 107071 1857 1974 118 4 0 .654 .54 .92 .143 .836 .117 2.47 .337 .004 1 14 107081 1849 1974 126 5 1 .517 .64 1.40 .203 .707 .166 2.43 .301 .001 1 15 107091 1838 1974 137 5 0 .535 .50 .90 .161 .826 .153 2.52 .350 .043 2 16 107101 1830 1974 145 5 1 .558 .45 1.22 .231 .899 .151 2.59 .347 -.005 1 17 107111 1858 1974 117 4 1 .420 .42 .63 .102 .670 .164 2.51 .325 -.021 1 18 107121 1789 1974 186 7 1 .542 .43 1.30 .215 .895 .157 2.66 .389 .000 1 19 107141 1797 1973 177 7 3 .348 .34 .86 .133 .878 .142 2.63 .586 .024 1 20 107151 1818 1974 157 6 0 .539 .42 .85 .113 .679 .161 2.64 .441 -.045 1 21 107171 1873 1974 102 4 0 .738 .44 .75 .129 .729 .143 2.46 .348 -.033 1 22 107181 1866 1974 109 4 0 .580 .53 .97 .154 .800 .131 2.78 .535 -.018 1 23 107191 1871 1974 104 4 0 .508 .51 .90 .157 .772 .148 2.60 .394 -.030 1 24 107201 1879 1974 96 3 0 .607 .73 1.30 .278 .844 .153 2.64 .468 .071 1 25 107720 1389 1524 136 5 0 .607 .98 1.83 .302 .814 .154 2.57 .476 .033 1 26 107730 1432 1525 94 4 0 .616 1.04 3.00 .540 .901 .131 2.54 .396 -.075 1 27 107740 1276 1522 247 8 0 .550 .51 1.14 .162 .746 .170 2.59 .371 -.045 1 28 107750 1437 1525 89 4 0 .729 .99 2.13 .292 .848 .120 2.50 .399 -.053 1 29 107760 1388 1523 136 5 2 .435 .97 1.62 .323 .825 .152 2.51 .444 -.006 1 30 107770 1393 1520 128 5 1 .616 .67 1.62 .286 .898 .133 2.63 .404 -.042 1 31 107780 1679 1765 87 3 3 .083 1.41 3.21 .780 .919 .168 2.72 .553 -.023 1 32 107790 1695 1765 71 3 0 .513 1.37 4.05 .945 .926 .186 2.56 .476 -.050 1 33 107690 1702 1866 165 6 2 .315 .78 1.89 .299 .823 .177 2.54 .388 -.035 2 34 107710 1323 1523 201 8 0 .507 .52 1.41 .274 .924 .161 2.68 .400 .009 1 35 107800 1302 1525 224 9 0 .515 .45 1.59 .335 .951 .177 2.55 .362 -.037 1 36 107810 1332 1525 194 8 1 .522 .48 1.38 .253 .920 .188 2.40 .286 -.021 1 37 107820 1319 1525 207 9 0 .590 .43 2.25 .413 .958 .192 2.65 .373 -.039 2 38 107830 1570 1690 121 5 3 .365 .95 2.97 .490 .881 .176 2.53 .412 -.030 1 39 107840 1574 1692 119 5 2 .472 1.07 1.74 .274 .730 .148 2.69 .512 .005 1 40 107850 1584 1689 106 4 1 .404 1.13 1.77 .253 .805 .109 2.68 .412 -.011 1 41 107860 1616 1692 77 3 3 .316 .96 1.74 .352 .884 .143 2.86 .611 .005 2 42 107870 1506 1603 98 4 0 .678 .75 2.58 .579 .959 .158 2.52 .459 -.010 1 43 107880 1508 1604 97 4 0 .653 .79 1.56 .331 .899 .144 2.62 .505 -.009 1 44 107890 1474 1603 130 6 0 .536 .77 2.79 .689 .950 .177 2.49 .432 -.020 2 45 107900 1516 1603 88 4 0 .618 .96 2.49 .512 .926 .157 2.54 .447 .012 1 46 107910 1648 1767 120 5 0 .582 1.00 1.98 .336 .870 .135 2.52 .431 -.037 2 47 107920 1654 1770 117 4 0 .600 1.04 3.00 .642 .941 .155 2.80 .441 -.014 2 48 107930 1643 1767 125 5 0 .625 .87 2.46 .561 .941 .168 2.73 .491 .014 1 PART 7: DESCRIPTIVE STATISTICS: aust003.rwl 16:41 Thu 10 Mar 2005 Page 12 ------------------------------------------------------------------------------------------------------------------------------------ Corr //-------- Unfiltered --------\\ //---- Filtered -----\\ No. No. No. with Mean Max Std Auto Mean Max Std Auto AR Seq Series Interval Years Segmt Flags Master msmt msmt dev corr sens value dev corr () --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- 49 107940 1471 1569 99 4 4 .101 1.28 2.49 .444 .781 .156 2.92 .509 -.053 1 50 107950 1353 1452 100 4 0 .622 1.25 3.15 .632 .841 .172 2.50 .392 -.059 2 51 107960 1377 1456 80 3 0 .389 1.43 2.70 .468 .807 .156 2.50 .392 -.029 1 52 107970 1646 1768 123 5 0 .617 .91 2.55 .588 .941 .166 2.67 .467 -.047 1 53 107980 1351 1471 121 4 1 .429 1.29 2.85 .544 .842 .157 2.60 .512 -.053 2 54 107990 1490 1574 85 3 2 .151 1.16 3.15 .461 .813 .144 2.65 .450 .030 1 55 107100 1368 1566 199 8 0 .477 .58 1.11 .206 .810 .173 2.52 .357 -.064 1 56 107101 1471 1567 97 4 0 .567 1.14 1.86 .303 .597 .186 2.45 .341 -.067 1 57 107102 1480 1567 88 3 0 .581 1.20 3.21 .658 .952 .130 2.60 .501 .058 1 58 107103 1486 1588 103 4 0 .676 1.20 2.73 .526 .907 .151 2.39 .376 -.023 2 59 107104 1469 1566 98 4 0 .622 1.32 3.30 .565 .920 .121 2.58 .469 -.127 1 60 107105 1475 1586 112 4 0 .652 1.18 2.19 .392 .856 .146 2.67 .418 -.039 1 61 107106 1497 1588 92 4 0 .747 1.14 3.03 .635 .946 .149 2.51 .485 -.087 1 62 107107 1511 1586 76 3 1 .310 1.47 3.15 .643 .937 .114 2.46 .342 -.048 1 63 107108 1516 1579 64 3 0 .579 1.74 3.75 .713 .822 .184 2.61 .471 -.063 1 64 107109 1487 1574 88 3 0 .652 1.62 3.96 .918 .955 .136 2.52 .467 -.055 1 65 107110 1492 1586 95 4 0 .692 1.29 4.20 .880 .957 .162 2.44 .326 -.055 1 66 107111 1467 1572 106 4 0 .672 1.32 2.31 .420 .800 .158 2.51 .414 -.066 1 67 107112 1507 1574 68 2 0 .649 1.71 3.96 .837 .958 .109 2.62 .534 -.090 1 68 107113 1519 1590 72 3 0 .483 1.50 3.90 .883 .970 .125 2.59 .533 .086 2 69 107114 1473 1590 118 5 0 .634 .94 2.64 .448 .892 .138 2.42 .340 -.024 1 70 107115 1510 1590 81 3 0 .557 1.28 3.21 .593 .933 .117 2.46 .434 -.062 1 71 107116 1454 1590 137 5 0 .546 .89 3.36 .701 .936 .217 2.70 .464 -.017 1 72 107117 1459 1590 132 5 0 .498 .85 3.00 .489 .924 .159 2.70 .468 .015 1 73 107118 1505 1590 86 3 0 .667 1.45 4.20 .767 .891 .145 2.49 .504 -.022 1 74 107119 1442 1548 107 4 0 .650 1.08 1.98 .361 .862 .129 2.54 .393 .033 1 75 107120 1465 1548 84 3 3 .286 1.52 3.09 .636 .944 .111 2.52 .418 .066 2 76 107121 1429 1548 120 4 1 .524 1.28 2.04 .285 .714 .139 2.53 .412 -.013 2 77 107122 1446 1548 103 4 0 .589 1.38 3.06 .453 .866 .126 2.58 .421 -.016 1 78 107123 1431 1548 118 4 0 .571 1.22 3.00 .563 .897 .166 2.70 .515 -.054 1 79 107124 1402 1520 119 4 0 .527 1.23 3.15 .758 .957 .136 2.53 .458 -.069 1 80 107125 1474 1578 105 5 0 .646 .93 3.75 .685 .903 .205 2.54 .389 -.029 1 81 107126 1452 1578 127 5 1 .438 .73 1.98 .403 .910 .180 2.46 .427 -.051 1 82 107127 1478 1578 101 4 2 .448 .91 2.85 .574 .925 .172 2.53 .428 .066 1 83 107128 1485 1579 95 4 0 .609 .95 2.52 .619 .956 .163 2.56 .510 -.050 1 84 107129 1572 1686 115 5 3 .412 .99 2.22 .377 .671 .194 2.84 .480 -.002 1 85 107130 1355 1466 112 4 0 .584 1.55 3.90 .626 .796 .150 2.79 .427 -.038 1 86 107700 1733 1869 137 5 3 .294 .74 1.86 .418 .867 .200 2.52 .445 .036 1 87 107680 1719 1854 136 6 0 .529 .62 1.95 .506 .966 .171 2.62 .422 -.023 2 88 107670 1698 1849 152 6 2 .416 .97 2.13 .444 .874 .196 2.65 .476 -.082 1 89 107620 1502 1623 122 4 1 .379 .86 2.13 .416 .922 .147 2.53 .387 -.021 1 90 107600 1518 1623 106 4 0 .568 .76 1.68 .310 .910 .131 2.57 .429 -.052 1 91 107580 1519 1623 105 4 0 .492 .74 2.22 .386 .900 .149 2.58 .434 -.006 1 92 107400 1384 1462 79 3 3 .159 .99 1.95 .392 .837 .184 2.71 .574 -.094 3 93 107410 1371 1478 108 5 5 .126 1.33 3.75 .669 .852 .206 2.68 .439 .020 1 94 107420 1498 1594 97 4 0 .726 1.24 3.06 .526 .929 .114 2.65 .437 -.045 1 95 107430 1470 1594 125 5 0 .448 1.12 2.88 .668 .949 .137 2.60 .402 -.016 1 96 107440 1495 1593 99 4 0 .554 1.19 4.05 .841 .944 .132 2.47 .387 -.043 1 PART 7: DESCRIPTIVE STATISTICS: aust003.rwl 16:41 Thu 10 Mar 2005 Page 13 ------------------------------------------------------------------------------------------------------------------------------------ Corr //-------- Unfiltered --------\\ //---- Filtered -----\\ No. No. No. with Mean Max Std Auto Mean Max Std Auto AR Seq Series Interval Years Segmt Flags Master msmt msmt dev corr sens value dev corr () --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- 97 107450 1499 1594 96 4 0 .603 1.58 4.95 .897 .955 .132 2.28 .337 -.025 1 98 107460 1499 1587 89 4 0 .643 1.08 3.30 .494 .940 .128 2.72 .468 -.084 1 99 107470 1491 1571 81 3 0 .686 .98 2.22 .413 .923 .119 2.53 .531 -.057 1 100 107480 1488 1571 84 3 0 .649 1.06 2.46 .568 .950 .151 2.59 .428 -.002 1 101 107490 1473 1571 99 4 0 .621 1.02 3.75 .708 .916 .131 2.50 .460 -.037 1 102 107500 1505 1571 67 2 0 .620 1.45 3.45 .640 .918 .133 2.53 .399 -.115 1 103 107510 1484 1571 88 3 0 .575 1.13 2.64 .468 .906 .149 2.53 .457 -.039 2 104 107520 1479 1568 90 3 0 .536 .91 2.70 .556 .939 .142 2.51 .453 -.061 2 105 107530 1463 1568 106 4 0 .566 1.02 2.55 .513 .848 .183 2.59 .445 -.059 1 106 107540 1465 1568 104 4 0 .442 .90 1.86 .459 .937 .153 2.65 .431 .030 2 107 107550 1499 1571 73 3 1 .372 1.74 4.20 .938 .942 .131 2.48 .481 -.012 1 108 107560 1484 1623 140 5 0 .541 .72 1.65 .294 .924 .121 2.50 .350 .029 1 109 107570 1509 1624 116 4 0 .429 .89 1.71 .386 .926 .129 2.47 .360 -.040 1 110 107590 1504 1624 121 4 0 .613 .91 2.91 .482 .927 .126 2.48 .368 .010 1 111 107610 1514 1624 111 4 0 .558 .72 1.53 .314 .919 .133 2.61 .433 -.049 3 112 107630 1512 1624 113 4 0 .537 .92 2.49 .420 .907 .138 2.51 .411 -.010 2 113 107640 1690 1860 171 7 2 .467 .80 2.19 .598 .965 .126 2.60 .415 -.014 1 114 107650 1711 1869 159 6 1 .533 .75 2.10 .317 .888 .139 2.58 .435 .011 1 115 107660 1686 1870 185 7 1 .448 1.17 3.36 .496 .890 .142 2.74 .506 .008 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 13209 504 66 .525 1.06 9.90 .496 .870 .155 2.92 .426 -.021