[] Dendrochronology Program Library Run COAL Program COF 16:10 Tue 23 Dec 2003 Page 1 [] [] P R O G R A M C O F E C H A Version 6.02P 25195 ----------------------------------------------------------------------------------------------------------------------------------- QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS Title of run: Coal Bench File of DATED series: ut516.rwl CONTENTS: Part 1: Title page, options selected, summary, absent rings by series Part 2: Histogram of time spans Part 3: Master series with sample depth and absent rings by year Part 4: Bar plot of Master Dating Series Part 5: Correlation by segment of each series with Master Part 6: Potential problems: low correlation, divergent year-to-year changes, absent rings, outliers Part 7: Descriptive statistics RUN CONTROL OPTIONS SELECTED VALUE 1 Cubic smoothing spline 50% wavelength cutoff for filtering 32 years 2 Segments examined are 50 years lagged successively by 25 years 3 Autoregressive model applied A Residuals are used in master dating series and testing 4 Series transformed to logarithms Y Each series log-transformed for master dating series and testing 5 CORRELATION is Pearson (parametric, quantitative) Critical correlation, 99% confidence level .3281 6 Master dating series saved N 7 Ring measurements listed N 8 Parts printed 1234567 9 Absent rings are omitted from master series and segment correlations (Y) Text in file: CB 1 Coal Bench PIED Text in file: CB 2 Utah Pinyon Pine 2100M 3737-11200 __ 1555 2000 Text in file: CB 3 David E. Grow Time span of Master dating series is 1555 to 2000 446 years Continuous time span is 1555 to 2000 446 years Portion with two or more series is 1555 to 2000 446 years >> CB03B 1680 absent in 1 of 12 series, but is not usually narrow: master index is 1.032 >> CB03B 1785 absent in 3 of 12 series, but is not usually narrow: master index is -.262 >> CB05A 1770 absent in 1 of 12 series, but is not usually narrow: master index is .054 >> CB05A 1785 absent in 3 of 12 series, but is not usually narrow: master index is -.262 >> CB05B 1785 absent in 3 of 12 series, but is not usually narrow: master index is -.262 >> CB07A 1998 absent in 1 of 13 series, but is not usually narrow: master index is .354 **************************************** *C* Number of dated series 14 *C* *O* Master series 1555 2000 446 yrs *O* *F* Total rings in all series 4796 *F* *E* Total dated rings checked 4796 *E* *C* Series intercorrelation .833 *C* *H* Average mean sensitivity .454 *H* *A* Segments, possible problems 0 *A* *** Mean length of series 342.6 *** **************************************** ABSENT RINGS listed by SERIES: (See Master Dating Series for absent rings listed by year) CB01A 7 absent rings: 1654 1670 1707 1773 1857 1896 1899 CB01B 10 absent rings: 1670 1707 1773 1820 1847 1857 1864 1896 1899 1956 CB03A 20 absent rings: 1670 1703 1707 1761 1763 1773 1780 1782 1847 1857 1860 1861 1864 1879 1882 1883 1896 1899 1953 1956 CB03B 15 absent rings: 1670 1680 1707 1735 1761 1780 1785 1847 1857 1861 1864 1883 1899 1956 1959 CB04A 5 absent rings: 1670 1707 1899 1956 1977 CB04B 4 absent rings: 1670 1707 1847 1857 CB05A 7 absent rings: 1670 1707 1770 1780 1785 1883 1899 CB05B 11 absent rings: 1670 1707 1773 1780 1785 1857 1864 1899 1956 1990 1996 CB06A 2 absent rings: 1861 1899 CB06B 2 absent rings: 1861 1899 CB07A 15 absent rings: 1613 1670 1703 1707 1879 1883 1899 1902 1904 1951 1956 1963 1977 1996 1998 CB07B 3 absent rings: 1626 1857 1899 CB09A 4 absent rings: 1654 1670 1703 1735 CB09B 3 absent rings: 1670 1686 1735 108 absent rings 2.252% PART 2: TIME PLOT OF TREE-RING SERIES: Coal Bench 16:10 Tue 23 Dec 2003 Page 2 ----------------------------------------------------------------------------------------------------------------------------------- Beg End 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 Ident Seq year year Yrs : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . .<======================================> CB01A 1 1619 2000 382 . . . . . . . . . . . . <=======================================> CB01B 2 1603 2000 398 . . . . . . . . . . . . . .<=================================> CB03A 3 1661 2000 340 . . . . . . . . . . . . . .<=================================> CB03B 4 1661 2000 340 . . . . . . . . . . . . . <=====================================> CB04A 5 1620 2000 381 . . . . . . . . . . . . . <========================> . . . CB04B 6 1620 1870 251 . . . . . . . . . . . . . <====================================> CB05A 7 1637 2000 364 . . . . . . . . . . . . . <====================================> CB05B 8 1637 2000 364 . . . . . . . . . . . . . . . . . <=================> CB06A 9 1823 2000 178 . . . . . . . . . . . . . . . . . <================>. CB06B 10 1823 1998 176 . . . . . . . . . . . <============================================> CB07A 11 1555 2000 446 . . . . . . . . . . . <============================================> CB07B 12 1555 2000 446 . . . . . . . . . . . . . <====================================> CB09A 13 1636 2000 365 . . . . . . . . . . . . . <====================================> CB09B 14 1636 2000 365 PART 3: Master Dating Series: Coal Bench 16:10 Tue 23 Dec 2003 Page 3 ----------------------------------------------------------------------------------------------------------------------------------- Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1600 -2.721 2 1650 -.940 10 1601 -.402 2 1651 .942 10 1602 .543 2 1652 -.104 10 1603 -.185 3 1653 .042 10 1604 1.104 3 1654 -3.922 10 2 1555 -.823 2 1605 .745 3 1655 -.618 10 1556 1.327 2 1606 .030 3 1656 .611 10 1557 .290 2 1607 .412 3 1657 .669 10 1558 -1.218 2 1608 .125 3 1658 .462 10 1559 -.943 2 1609 .008 3 1659 .598 10 1560 .261 2 1610 .401 3 1660 1.103 10 1561 .241 2 1611 -.424 3 1661 .345 12 1562 1.599 2 1612 .002 3 1662 .893 12 1563 -.820 2 1613 -2.579 3 1 1663 .310 12 1564 -.203 2 1614 -.156 3 1664 1.057 12 1565 .694 2 1615 .226 3 1665 -.425 12 1566 -.673 2 1616 .204 3 1666 .467 12 1567 -.326 2 1617 .578 3 1667 -1.633 12 1568 1.352 2 1618 .710 3 1668 .025 12 1569 .122 2 1619 .722 4 1669 -1.278 12 1570 -.385 2 1620 .928 6 1670 -7.542 12 11 1571 1.479 2 1621 1.285 6 1671 .273 12 1572 .561 2 1622 .294 6 1672 .004 12 1573 .153 2 1623 -.688 6 1673 .395 12 1574 -.203 2 1624 -.630 6 1674 1.044 12 1575 -.552 2 1625 -.083 6 1675 -.340 12 1576 -.540 2 1626 -1.672 6 1 1676 .415 12 1577 .826 2 1627 .700 6 1677 .973 12 1578 .723 2 1628 -.229 6 1678 .561 12 1579 -1.595 2 1629 -.126 6 1679 .106 12 1580 -.214 2 1630 .260 6 1680 1.032 12 1<< 1581 .786 2 1631 -.848 6 1681 .945 12 1582 .581 2 1632 -2.199 6 1682 .505 12 1583 -.337 2 1633 .722 6 1683 .531 12 1584 -1.365 2 1634 -.475 6 1684 -1.163 12 1585 -2.179 2 1635 1.182 6 1685 -1.540 12 1586 1.311 2 1636 .984 8 1686 -3.371 12 1 1587 1.422 2 1637 -.733 10 1687 .597 12 1588 .530 2 1638 -.439 10 1688 .374 12 1589 .602 2 1639 .180 10 1689 .646 12 1590 -1.487 2 1640 1.378 10 1690 .861 12 1591 .329 2 1641 .857 10 1691 .351 12 1592 -.743 2 1642 -.091 10 1692 .695 12 1593 .314 2 1643 .458 10 1693 .265 12 1594 .662 2 1644 .479 10 1694 .258 12 1595 -.582 2 1645 -.216 10 1695 .860 12 1596 1.063 2 1646 .047 10 1696 .181 12 1597 -.407 2 1647 .354 10 1697 .585 12 1598 -.059 2 1648 -2.188 10 1698 -1.968 12 1599 .729 2 1649 .995 10 1699 .179 12 PART 3: Master Dating Series: Coal Bench 16:10 Tue 23 Dec 2003 Page 4 ----------------------------------------------------------------------------------------------------------------------------------- Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1700 .112 12 1750 -.454 12 1800 -.436 12 1850 .531 14 1900 -.366 13 1950 -.480 13 1701 .316 12 1751 -.875 12 1801 -.222 12 1851 .520 14 1901 .033 13 1951 -1.144 13 1 1702 .709 12 1752 -1.121 12 1802 1.511 12 1852 .698 14 1902 -1.670 13 1 1952 .704 13 1703 -2.459 12 3 1753 -.177 12 1803 -.149 12 1853 .913 14 1903 .082 13 1953 -1.141 13 1 1704 .958 12 1754 -.368 12 1804 .145 12 1854 .724 14 1904 -1.230 13 1 1954 .561 13 1705 1.081 12 1755 -.296 12 1805 -.728 12 1855 .678 14 1905 .039 13 1955 .148 13 1706 -.354 12 1756 -.428 12 1806 .693 12 1856 -1.017 14 1906 .636 13 1956 -2.360 13 6 1707 -3.063 12 9 1757 -.188 12 1807 .410 12 1857 -1.892 14 7 1907 .892 13 1957 .718 13 1708 .128 12 1758 .131 12 1808 -1.070 12 1858 -.116 14 1908 .485 13 1958 .813 13 1709 -1.370 12 1759 .663 12 1809 .225 12 1859 -.100 14 1909 .451 13 1959 -.977 13 1 1710 .237 12 1760 .769 12 1810 .531 12 1860 -.543 14 1 1910 .949 13 1960 .466 13 1711 .501 12 1761 -1.418 12 2 1811 .769 12 1861 -1.279 14 4 1911 .741 13 1961 .152 13 1712 .644 12 1762 .172 12 1812 .156 12 1862 1.128 14 1912 .292 13 1962 .792 13 1713 .075 12 1763 -1.008 12 1 1813 -1.956 12 1863 .312 14 1913 .304 13 1963 -1.241 13 1 1714 .490 12 1764 .684 12 1814 .253 12 1864 -.949 14 4 1914 .362 13 1964 -.528 13 1715 -.707 12 1765 -.201 12 1815 -.075 12 1865 .771 14 1915 .012 13 1965 -.135 13 1716 -.029 12 1766 .696 12 1816 .538 12 1866 .824 14 1916 .441 13 1966 -.379 13 1717 -.627 12 1767 .965 12 1817 .848 12 1867 .221 14 1917 1.020 13 1967 -.159 13 1718 .740 12 1768 1.301 12 1818 -.410 12 1868 1.215 14 1918 -.040 13 1968 -.160 13 1719 .766 12 1769 .823 12 1819 .795 12 1869 1.002 14 1919 -.735 13 1969 .417 13 1720 1.579 12 1770 .054 12 1<< 1820 -2.498 12 1 1870 -.688 14 1920 .025 13 1970 .362 13 1721 .190 12 1771 .698 12 1821 1.233 12 1871 -.884 13 1921 .230 13 1971 .152 13 1722 -1.261 12 1772 -.194 12 1822 -.940 12 1872 .202 13 1922 1.086 13 1972 .373 13 1723 .519 12 1773 -2.054 12 4 1823 -.281 14 1873 -.638 13 1923 1.089 13 1973 .800 13 1724 .855 12 1774 -.547 12 1824 -1.119 14 1874 .609 13 1924 -.459 13 1974 -.634 13 1725 .912 12 1775 .453 12 1825 .382 14 1875 .456 13 1925 -.783 13 1975 .813 13 1726 .719 12 1776 -.122 12 1826 .618 14 1876 .438 13 1926 .276 13 1976 .693 13 1727 .605 12 1777 .198 12 1827 -.847 14 1877 .345 13 1927 -.677 13 1977 -4.724 13 2 1728 -.007 12 1778 .421 12 1828 1.280 14 1878 .005 13 1928 .083 13 1978 -.030 13 1729 -2.408 12 1779 .096 12 1829 .278 14 1879 -1.430 13 2 1929 -.606 13 1979 .492 13 1730 -.346 12 1780 -1.547 12 4 1830 -.324 14 1880 .523 13 1930 -.565 13 1980 .425 13 1731 -.052 12 1781 -.274 12 1831 -.796 14 1881 -.278 13 1931 -1.839 13 1981 .809 13 1732 -.292 12 1782 -.571 12 1 1832 .577 14 1882 -2.052 13 1 1932 .625 13 1982 .590 13 1733 -.093 12 1783 .363 12 1833 .348 14 1883 -2.045 13 4 1933 -.254 13 1983 .806 13 1734 1.066 12 1784 1.109 12 1834 -.097 14 1884 .563 13 1934 -1.626 13 1984 .469 13 1735 -2.452 12 3 1785 -.262 12 3<< 1835 .373 14 1885 .601 13 1935 .368 13 1985 .502 13 1736 -1.403 12 1786 -.032 12 1836 .713 14 1886 .090 13 1936 -1.256 13 1986 -.164 13 1737 -.385 12 1787 1.324 12 1837 .427 14 1887 .238 13 1937 1.127 13 1987 .291 13 1738 1.054 12 1788 -.774 12 1838 1.096 14 1888 .889 13 1938 .743 13 1988 .356 13 1739 -.353 12 1789 -.853 12 1839 .965 14 1889 .624 13 1939 -.452 13 1989 -.349 13 1740 .358 12 1790 .128 12 1840 .531 14 1890 1.456 13 1940 .297 13 1990 -1.311 13 1 1741 .924 12 1791 1.124 12 1841 -1.650 14 1891 .973 13 1941 .694 13 1991 -.622 13 1742 -.566 12 1792 .495 12 1842 .418 14 1892 .996 13 1942 .852 13 1992 .713 13 1743 1.117 12 1793 .847 12 1843 -.274 14 1893 .265 13 1943 .526 13 1993 -.020 13 1744 .515 12 1794 .320 12 1844 -.027 14 1894 -.443 13 1944 .979 13 1994 .227 13 1745 .522 12 1795 .243 12 1845 -.758 14 1895 .272 13 1945 .477 13 1995 .955 13 1746 1.002 12 1796 -1.293 12 1846 -.021 14 1896 -1.850 13 3 1946 -.867 13 1996 -1.256 13 2 1747 1.317 12 1797 .398 12 1847 -3.319 14 4 1897 .374 13 1947 .641 13 1997 .340 13 1748 -.800 12 1798 -.667 12 1848 .108 14 1898 .419 13 1948 .078 13 1998 .354 13 1<< 1749 .701 12 1799 .726 12 1849 1.178 14 1899 -3.324 13 11 1949 1.095 13 1999 .057 12 PART 3: Master Dating Series: Coal Bench 16:10 Tue 23 Dec 2003 Page 5 ----------------------------------------------------------------------------------------------------------------------------------- Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 2000 -.497 12 ----------------------------------------------------------------------------------------------------------------------------------- PART 4: Master Bar Plot: Coal Bench 16:10 Tue 23 Dec 2003 Page 6 ----------------------------------------------------------------------------------------------------------------------------------- Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1555-c 1556----------E 1557-----A 1558-e 1559-d 1560-----A 1561-----A 1562----------F 1563-c 1564---a 1565--------C 1566--c 1567---a 1568----------E 1569----@ 1570--b 1571----------F 1572-------B 1573-----A 1574---a 1575--b 1576--b 1577---------C 1578--------C 1579f 1580---a 1581---------C 1582-------B 1583---a 1584-e 1585i 1586----------E 1587----------F 1588-------B 1589-------B 1590f 1591------A 1592-c 1593------A 1594--------C 1595--b 1596----------D 1597--b 1598----@ 1599--------C PART 4: Master Bar Plot: Coal Bench 16:10 Tue 23 Dec 2003 Page 7 ----------------------------------------------------------------------------------------------------------------------------------- Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1600k 1650-d 1700----@ 1750--b 1800--b 1850-------B 1900--a 1950--b 1601--b 1651---------D 1701------A 1751-d 1801---a 1851-------B 1901----@ 1951-e 1602-------B 1652---@ 1702--------C 1752-d 1802----------F 1852--------C 1902g 1952--------C 1603---a 1653----@ 1703j 1753---a 1803---a 1853---------D 1903----@ 1953-e 1604----------D 1654p 1704---------D 1754--a 1804-----A 1854--------C 1904-e 1954-------B 1605--------C 1655--b 1705----------D 1755---a 1805-c 1855--------C 1905----@ 1955-----A 1606----@ 1656-------B 1706--a 1756--b 1806--------C 1856-d 1906--------C 1956i 1607------B 1657--------C 1707l 1757---a 1807------B 1857h 1907---------D 1957--------C 1608----A 1658-------B 1708----A 1758----A 1808-d 1858---@ 1908-------B 1958---------C 1609----@ 1659-------B 1709-e 1759--------C 1809-----A 1859---@ 1909------B 1959-d 1610------B 1660----------D 1710-----A 1760--------C 1810-------B 1860--b 1910---------D 1960-------B 1611--b 1661------A 1711-------B 1761-f 1811--------C 1861-e 1911--------C 1961-----A 1612----@ 1662---------D 1712--------C 1762-----A 1812-----A 1862----------E 1912-----A 1962---------C 1613j 1663-----A 1713----@ 1763-d 1813h 1863------A 1913-----A 1963-e 1614---a 1664----------D 1714-------B 1764--------C 1814-----A 1864-d 1914------A 1964--b 1615-----A 1665--b 1715--c 1765---a 1815----@ 1865--------C 1915----@ 1965---a 1616-----A 1666-------B 1716----@ 1766--------C 1816-------B 1866---------C 1916------B 1966--b 1617-------B 1667g 1717--c 1767---------D 1817---------C 1867-----A 1917----------D 1967---a 1618--------C 1668----@ 1718--------C 1768----------E 1818--b 1868----------E 1918----@ 1968---a 1619--------C 1669-e 1719--------C 1769---------C 1819---------C 1869----------D 1919-c 1969------B 1620---------D 1670< 1720----------F 1770----@ 1820j 1870--c 1920----@ 1970------A 1621----------E 1671-----A 1721-----A 1771--------C 1821----------E 1871-d 1921-----A 1971-----A 1622-----A 1672----@ 1722-e 1772---a 1822-d 1872-----A 1922----------D 1972------A 1623--c 1673------B 1723-------B 1773h 1823---a 1873--c 1923----------D 1973---------C 1624--c 1674----------D 1724---------C 1774--b 1824-d 1874-------B 1924--b 1974--c 1625----@ 1675---a 1725---------D 1775------B 1825------B 1875------B 1925-c 1975---------C 1626g 1676------B 1726--------C 1776---@ 1826--------B 1876------B 1926-----A 1976--------C 1627--------C 1677---------D 1727-------B 1777-----A 1827-c 1877------A 1927--c 1977s 1628---a 1678-------B 1728----@ 1778------B 1828----------E 1878----@ 1928----@ 1978----@ 1629---a 1679----@ 1729j 1779----@ 1829-----A 1879-f 1929--b 1979-------B 1630-----A 1680----------D 1730---a 1780f 1830---a 1880-------B 1930--b 1980------B 1631-c 1681---------D 1731----@ 1781---a 1831-c 1881---a 1931g 1981---------C 1632i 1682-------B 1732---a 1782--b 1832-------B 1882h 1932--------C 1982-------B 1633--------C 1683-------B 1733---@ 1783------A 1833------A 1883h 1933---a 1983---------C 1634--b 1684-e 1734----------D 1784----------D 1834---@ 1884-------B 1934g 1984-------B 1635----------E 1685f 1735j 1785---a 1835------A 1885-------B 1935------A 1985-------B 1636---------D 1686m 1736-f 1786----@ 1836--------C 1886----@ 1936-e 1986---a 1637-c 1687-------B 1737--b 1787----------E 1837------B 1887-----A 1937----------E 1987-----A 1638--b 1688------A 1738----------D 1788-c 1838----------D 1888---------D 1938--------C 1988------A 1639-----A 1689--------C 1739--a 1789-c 1839---------D 1889--------B 1939--b 1989---a 1640----------F 1690---------C 1740------A 1790----A 1840-------B 1890----------F 1940-----A 1990-e 1641---------C 1691------A 1741---------D 1791----------D 1841g 1891---------D 1941--------C 1991--b 1642---@ 1692--------C 1742--b 1792-------B 1842------B 1892----------D 1942---------C 1992--------C 1643-------B 1693-----A 1743----------D 1793---------C 1843---a 1893-----A 1943-------B 1993----@ 1644-------B 1694-----A 1744-------B 1794------A 1844----@ 1894--b 1944---------D 1994-----A 1645---a 1695---------C 1745-------B 1795-----A 1845-c 1895-----A 1945-------B 1995---------D 1646----@ 1696-----A 1746----------D 1796-e 1846----@ 1896g 1946-c 1996-e 1647------A 1697-------B 1747----------E 1797------B 1847m 1897------A 1947--------C 1997------A 1648i 1698h 1748-c 1798--c 1848----@ 1898------B 1948----@ 1998------A 1649----------D 1699-----A 1749--------C 1799--------C 1849----------E 1899m 1949----------D 1999----@ PART 4: Master Bar Plot: Coal Bench 16:10 Tue 23 Dec 2003 Page 8 ----------------------------------------------------------------------------------------------------------------------------------- Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 2000--b PART 5: CORRELATION OF SERIES BY SEGMENTS: Coal Bench 16:10 Tue 23 Dec 2003 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 1550 1575 1600 1625 1650 1675 1700 1725 1750 1775 1800 1825 1850 1875 1900 1925 1950 1975 1599 1624 1649 1674 1699 1724 1749 1774 1799 1824 1849 1874 1899 1924 1949 1974 1999 2024 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 CB01A 1619 2000 .85 .87 .94 .94 .94 .91 .86 .90 .90 .88 .92 .73 .71 .87 .92 .92 2 CB01B 1603 2000 .66 .89 .91 .93 .92 .90 .89 .89 .90 .94 .94 .88 .88 .86 .86 .86 3 CB03A 1661 2000 .88 .88 .90 .73 .57 .87 .85 .85 .86 .85 .83 .79 .86 .85 4 CB03B 1661 2000 .84 .83 .85 .73 .65 .80 .82 .87 .92 .78 .82 .81 .86 .86 5 CB04A 1620 2000 .89 .89 .86 .84 .82 .80 .75 .65 .69 .83 .89 .85 .79 .73 .77 .77 6 CB04B 1620 1870 .93 .93 .94 .92 .90 .87 .67 .74 .84 .65 7 CB05A 1637 2000 .87 .90 .85 .87 .77 .56 .77 .84 .81 .85 .85 .70 .74 .76 .77 8 CB05B 1637 2000 .90 .94 .95 .94 .86 .68 .83 .91 .91 .92 .92 .85 .77 .77 .76 9 CB06A 1823 2000 .78 .81 .88 .77 .73 .83 .90 .90 10 CB06B 1823 1998 .81 .81 .88 .74 .72 .84 .90 11 CB07A 1555 2000 .82 .76 .69 .81 .87 .89 .91 .84 .74 .78 .80 .87 .88 .80 .60 .51 .47 .46 12 CB07B 1555 2000 .84 .86 .86 .96 .93 .84 .85 .75 .65 .66 .75 .80 .90 .80 .75 .83 .83 .83 13 CB09A 1636 2000 .93 .93 .93 .93 .92 .88 .80 .75 .79 .88 .83 .69 .65 .60 .58 14 CB09B 1636 2000 .91 .91 .91 .92 .92 .88 .88 .90 .80 .80 .78 .60 .59 .50 .51 Av segment correlation .83 .81 .81 .89 .91 .89 .89 .83 .73 .80 .83 .83 .89 .81 .74 .76 .77 .76 PART 6: POTENTIAL PROBLEMS: Coal Bench 16:10 Tue 23 Dec 2003 Page 9 ----------------------------------------------------------------------------------------------------------------------------------- For each series with potential problems the following diagnostics may appear: [A] Correlations with master dating series of flagged 50-year segments of series filtered with 32-year spline, at every point from ten years earlier (-10) to ten years later (+10) than dated [B] Effect of those data values which most lower or raise correlation with master series [C] Year-to-year changes very different from the mean change in other series [D] Absent rings (zero values) [E] Values which are statistical outliers from mean for the year =================================================================================================================================== CB01A 1619 to 2000 382 years Series 1 [B] Entire series, effect on correlation ( .886) is: Lower 1670 -.011 1918 -.005 1833 -.003 1911 -.003 Higher 1977 .008 1654 .004 1899 .003 1735 .002 [D] 7 Absent rings: Year Master N series Absent 1654 -3.922 10 2 1670 -7.542 12 11 1707 -3.063 12 9 1773 -2.054 12 4 1857 -1.892 14 7 1896 -1.850 13 3 1899 -3.324 13 11 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1670 +6.0 SD; 1707 -5.0 SD; 1918 -4.9 SD =================================================================================================================================== CB01B 1603 to 2000 398 years Series 2 [B] Entire series, effect on correlation ( .860) is: Lower 1670 -.020 1607 -.006 1614 -.005 1603 -.004 Higher 1977 .005 1847 .003 1899 .003 1820 .003 [D] 10 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1707 -3.063 12 9 1773 -2.054 12 4 1820 -2.498 12 1 1847 -3.319 14 4 1857 -1.892 14 7 1864 -.949 14 4 1896 -1.850 13 3 1899 -3.324 13 11 1956 -2.360 13 6 [E] Outliers 5 3.0 SD above or -4.5 SD below mean for year 1603 +4.1 SD; 1607 -5.0 SD; 1614 +4.3 SD; 1670 +8.0 SD; 1707 -6.0 SD =================================================================================================================================== CB03A 1661 to 2000 340 years Series 3 [B] Entire series, effect on correlation ( .850) is: Lower 1670 -.016 1807 -.004 1774 -.003 1936 -.003 Higher 1977 .012 1707 .004 1899 .004 1703 .004 [D] 20 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1703 -2.459 12 3 1707 -3.063 12 9 1761 -1.418 12 2 1763 -1.008 12 1 1773 -2.054 12 4 1780 -1.547 12 4 1782 -.571 12 1 1847 -3.319 14 4 1857 -1.892 14 7 1860 -.543 14 1 1861 -1.279 14 4 1864 -.949 14 4 1879 -1.430 13 2 1882 -2.052 13 1 1883 -2.045 13 4 1896 -1.850 13 3 1899 -3.324 13 11 1953 -1.141 13 1 1956 -2.360 13 6 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1670 +5.1 SD; 1774 +3.1 SD; 1996 +3.3 SD =================================================================================================================================== CB03B 1661 to 2000 340 years Series 4 [B] Entire series, effect on correlation ( .807) is: Lower 1670 -.025 1680 -.014 1785 -.006 1958 -.003 Higher 1977 .015 1847 .007 1899 .006 1707 .005 [D] 15 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1680 1.032 12 1 >> WARNING: Ring is not usually narrow 1707 -3.063 12 9 1735 -2.452 12 3 1761 -1.418 12 2 1780 -1.547 12 4 1785 -.262 12 3 >> WARNING: Ring is not usually narrow 1847 -3.319 14 4 1857 -1.892 14 7 1861 -1.279 14 4 1864 -.949 14 4 1883 -2.045 13 4 1899 -3.324 13 11 1956 -2.360 13 6 1959 -.977 13 1 [E] Outliers 6 3.0 SD above or -4.5 SD below mean for year 1670 +8.8 SD; 1680 -7.6 SD; 1686 +3.5 SD; 1761 -4.6 SD; 1785 -5.8 SD; 1959 -5.3 SD =================================================================================================================================== CB04A 1620 to 2000 381 years Series 5 [B] Entire series, effect on correlation ( .834) is: Lower 1816 -.004 1844 -.003 1929 -.003 1805 -.003 Higher 1977 .009 1670 .005 1654 .004 1707 .004 [D] 5 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1707 -3.063 12 9 1899 -3.324 13 11 1956 -2.360 13 6 1977 -4.724 13 2 [E] Outliers 6 3.0 SD above or -4.5 SD below mean for year 1654 -6.1 SD; 1670 +3.5 SD; 1729 +3.5 SD; 1805 +3.2 SD; 1929 +3.7 SD; 1977 -7.0 SD =================================================================================================================================== CB04B 1620 to 1870 251 years Series 6 [B] Entire series, effect on correlation ( .858) is: Lower 1780 -.007 1860 -.007 1867 -.006 1779 -.006 Higher 1670 .016 1654 .009 1686 .005 1820 .004 [D] 4 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1707 -3.063 12 9 1847 -3.319 14 4 1857 -1.892 14 7 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1707 -6.3 SD; 1780 +3.8 SD; 1860 +4.2 SD =================================================================================================================================== CB05A 1637 to 2000 364 years Series 7 [B] Entire series, effect on correlation ( .805) is: Lower 1770 -.012 1785 -.007 1773 -.007 1932 -.004 Higher 1670 .015 1847 .006 1899 .004 1707 .004 [D] 7 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1707 -3.063 12 9 1770 .054 12 1 >> WARNING: Ring is not usually narrow 1780 -1.547 12 4 1785 -.262 12 3 >> WARNING: Ring is not usually narrow 1883 -2.045 13 4 1899 -3.324 13 11 [E] Outliers 7 3.0 SD above or -4.5 SD below mean for year 1637 +3.0 SD; 1770 -5.2 SD; 1773 +5.4 SD; 1774 +3.5 SD; 1785 -6.1 SD; 1841 +3.2 SD; 1932 -4.6 SD =================================================================================================================================== CB05B 1637 to 2000 364 years Series 8 [B] Entire series, effect on correlation ( .870) is: Lower 1774 -.005 1990 -.004 1785 -.004 1647 -.003 Higher 1654 .005 1899 .004 1707 .003 1847 .003 [D] 11 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1707 -3.063 12 9 1773 -2.054 12 4 1780 -1.547 12 4 1785 -.262 12 3 >> WARNING: Ring is not usually narrow 1857 -1.892 14 7 1864 -.949 14 4 1899 -3.324 13 11 1956 -2.360 13 6 1990 -1.311 13 1 1996 -1.256 13 2 [E] Outliers 5 3.0 SD above or -4.5 SD below mean for year 1670 +4.1 SD; 1774 +3.9 SD; 1785 -4.5 SD; 1977 +3.2 SD; 1990 -5.2 SD =================================================================================================================================== CB06A 1823 to 2000 178 years Series 9 [B] Entire series, effect on correlation ( .830) is: Lower 1824 -.006 1934 -.005 1925 -.005 1838 -.005 Higher 1977 .033 1956 .005 1899 .004 1931 .003 [D] 2 Absent rings: Year Master N series Absent 1861 -1.279 14 4 1899 -3.324 13 11 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1824 -5.5 SD =================================================================================================================================== CB06B 1823 to 1998 176 years Series 10 [B] Entire series, effect on correlation ( .832) is: Lower 1919 -.007 1934 -.006 1834 -.006 1978 -.006 Higher 1977 .033 1847 .006 1956 .005 1899 .004 [D] 2 Absent rings: Year Master N series Absent 1861 -1.279 14 4 1899 -3.324 13 11 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1919 +3.4 SD; 1978 -4.9 SD =================================================================================================================================== CB07A 1555 to 2000 446 years Series 11 [B] Entire series, effect on correlation ( .822) is: Lower 1930 -.009 1998 -.004 1626 -.004 1613 -.003 Higher 1670 .016 1977 .011 1654 .005 1847 .004 [D] 15 Absent rings: Year Master N series Absent 1613 -2.579 3 1 Present in series 2 CB01B time span 1603 to 2000 Present in series 12 CB07B time span 1555 to 2000 1670 -7.542 12 11 1703 -2.459 12 3 1707 -3.063 12 9 1879 -1.430 13 2 1883 -2.045 13 4 1899 -3.324 13 11 1902 -1.670 13 1 1904 -1.230 13 1 1951 -1.144 13 1 1956 -2.360 13 6 1963 -1.241 13 1 1977 -4.724 13 2 1996 -1.256 13 2 1998 .354 13 1 >> WARNING: Ring is not usually narrow [E] Outliers 6 3.0 SD above or -4.5 SD below mean for year 1613 -7.4 SD; 1626 +3.9 SD; 1751 +3.7 SD; 1831 +3.0 SD; 1930 -6.8 SD; 1931 +3.4 SD =================================================================================================================================== CB07B 1555 to 2000 446 years Series 12 [B] Entire series, effect on correlation ( .827) is: Lower 1626 -.005 1774 -.004 1809 -.003 1789 -.003 Higher 1670 .020 1977 .007 1899 .004 1686 .004 [D] 3 Absent rings: Year Master N series Absent 1626 -1.672 6 1 1857 -1.892 14 7 1899 -3.324 13 11 [E] Outliers 5 3.0 SD above or -4.5 SD below mean for year 1626 -7.0 SD; 1757 +3.6 SD; 1774 -4.6 SD; 1789 +3.8 SD; 1847 +3.4 SD =================================================================================================================================== CB09A 1636 to 2000 365 years Series 13 [B] Entire series, effect on correlation ( .801) is: Lower 1670 -.015 1990 -.007 1993 -.005 1812 -.005 Higher 1977 .009 1654 .007 1847 .005 1707 .004 [D] 4 Absent rings: Year Master N series Absent 1654 -3.922 10 2 1670 -7.542 12 11 1703 -2.459 12 3 1735 -2.452 12 3 [E] Outliers 7 3.0 SD above or -4.5 SD below mean for year 1670 +7.9 SD; 1812 -4.7 SD; 1813 +3.3 SD; 1915 +4.2 SD; 1990 +5.0 SD; 1993 -5.1 SD; 2000 +4.3 SD =================================================================================================================================== CB09B 1636 to 2000 365 years Series 14 [B] Entire series, effect on correlation ( .792) is: Lower 1670 -.009 1996 -.008 1948 -.006 1864 -.006 Higher 1654 .006 1686 .006 1707 .005 1735 .005 [D] 3 Absent rings: Year Master N series Absent 1670 -7.542 12 11 1686 -3.371 12 1 1735 -2.452 12 3 [E] Outliers 8 3.0 SD above or -4.5 SD below mean for year 1670 +6.8 SD; 1847 -5.4 SD; 1864 +4.3 SD; 1948 -5.3 SD; 1951 +4.4 SD; 1977 +5.4 SD; 1994 -5.3 SD; 1996 +5.0 SD =================================================================================================================================== [*] All segments correlate highest as dated with correlation with master series over .3281 PART 7: DESCRIPTIVE STATISTICS: Coal Bench 16:10 Tue 23 Dec 2003 Page 10 ----------------------------------------------------------------------------------------------------------------------------------- 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 CB01A 1619 2000 382 16 0 .886 .50 1.23 .215 .370 .465 2.42 .353 -.007 1 2 CB01B 1603 2000 398 16 0 .860 .52 1.24 .234 .329 .495 2.50 .365 -.018 1 3 CB03A 1661 2000 340 14 0 .850 .36 1.04 .197 .511 .575 2.53 .363 -.039 1 4 CB03B 1661 2000 340 14 0 .807 .45 1.15 .208 .434 .496 2.45 .328 -.025 2 5 CB04A 1620 2000 381 16 0 .834 .36 1.23 .192 .617 .420 2.43 .262 -.016 1 6 CB04B 1620 1870 251 10 0 .858 .32 .96 .139 .393 .436 2.50 .359 .017 1 7 CB05A 1637 2000 364 15 0 .805 .42 .96 .197 .645 .409 2.46 .377 -.004 1 8 CB05B 1637 2000 364 15 0 .870 .40 1.09 .205 .609 .486 2.52 .439 -.004 1 9 CB06A 1823 2000 178 8 0 .830 .75 2.21 .392 .602 .435 2.53 .349 -.026 1 10 CB06B 1823 1998 176 7 0 .832 .84 2.74 .473 .581 .484 2.57 .339 -.037 1 11 CB07A 1555 2000 446 18 0 .822 .37 .98 .187 .516 .482 2.41 .329 -.016 1 12 CB07B 1555 2000 446 18 0 .827 .53 1.20 .203 .429 .358 2.42 .293 .003 1 13 CB09A 1636 2000 365 15 0 .801 .32 .79 .139 .396 .416 2.64 .450 -.005 1 14 CB09B 1636 2000 365 15 0 .792 .40 .82 .153 .226 .417 2.52 .376 -.018 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 4796 197 0 .833 .45 2.74 .209 .467 .454 2.64 .355 -.013 - = [ COFECHA COAL COF ] = -