Arundel Square, Waterford, Ireland - BRIT046
Additional Site Information
Brown, D.M.
Detrending Method: Negative exponential or linear regression of any slope
Purpose of Collection: Archaeology - construction (felling dates)
Samples are stored at the Palaeoecology Centre, 42 Fitzwilliam Street,
Belfast, BT9 6AX. Northern Ireland.
Reference: Brown, D. M. 1997. Dendrochronological report on samples.
In T. Barry, R. Cleary and M. F. Hurley (eds.) Late Viking Age and Medieval
Waterford Excavations 1986 - 1992
by M. F. Hurley, O. M. B. Scully and S. W. J. McCutcheon.
Waterford Corporation. 643-649.
COFECHA output:
Brit046 Arundel Square, Waterford
[] DENDROCHRONOLOGY PROGRAM LIBRARY
Run ARUND Program COF 12:10 Mon 16 AUG 1999 Page 1
[]
[] P R O G R A M C O F E C H A
Version 3.00P 23605
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QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS
Title of run: Arundel Square, Waterford
File of DATED series: a:arundel.tuc
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 avelength 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 Critical correlation, 99 onfidence level .3281
6 Master dating series saved N
7 Ring measurements listed N
8 Parts printed 1234567
9 Absent rings included in master series N
Time span of Master dating series is 839 to 1200 362 years
Continuous time span is 839 to 1200 362 years
Portion with two or more series is 840 to 1174 335 years
****************************************
*C* Number of dated series
26 *C*
*O* Master series 839 1200 362
yrs *O*
*F* Total rings in all series
4668 *F*
*E* Total dated rings checked
4641 *E*
*C* Series intercorrelation
.539 *C*
*H* Average mean sensitivity
.254 *H*
*A* Segments, possible problems
15 *A*
****************************************
ABSENT RINGS listed by SERIES: (See Master Dating Series for
absent rings listed by year)
No ring measurements of zero value
PART 2: TIME PLOT OF TREE-RING SERIES: Arundel Square, Waterford
12:10 Mon 16 AUG 1999 Page 2
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1000 1100 1200 1300 1400 1500 1600
1700 1800 1900 2000 Beg End
Ident Seq year year Yrs
: : : : : : : : : : : : : :
: : : : : : : -------- --- ---- ---- ----
===============> . . . . . . . . . . .
. . . . . . . Q 8228 1 861 1134 274
==========> . . . . . . . . . . . .
. . . . . . . Q 8229 2 939 1085 147
<==============>. . . . . . . . . . .
. . . . . . . Q 8231 3 999 1140 142
=================> . . . . . . . . . .
. . . . . . . Q 8232 4 861 1151 291
==============> . . . . . . . . . . .
. . . . . . . Q 8234 5 917 1121 205
==> . . . . . . . . . . . . .
. . . . . . . Q 8235 6 840 1005 166
.<============>. . . . . . . . . . .
. . . . . . . Q 8238 7 1011 1144 134
==========> . . . . . . . . . . . .
. . . . . . . Q 8239 8 903 1080 178
<==================> . . . . . . . . . .
. . . . . . . Q 8241 9 981 1174 194
=========> . . . . . . . . . . . .
. . . . . . . Q 8242 10 938 1079 142
=========> . . . . . . . . . . . .
. . . . . . . Q 8243 11 970 1074 105
===========>. . . . . . . . . . . .
. . . . . . . Q 8244 12 868 1096 229
==========> . . . . . . . . . . . .
. . . . . . . Q 8245 13 890 1085 196
======>. . . . . . . . . . . . .
. . . . . . . Q 8246 14 886 1045 160
==============> . . . . . . . . . . .
. . . . . . . Q 8247 15 961 1120 160
<===============>. . . . . . . . . . .
. . . . . . . Q 8248 16 981 1148 168
===========>. . . . . . . . . . . .
. . . . . . . Q 8249 17 885 1094 210
=========> . . . . . . . . . . . .
. . . . . . . Q 8253 18 886 1075 190
===============> . . . . . . . . . . .
. . . . . . . Q 8254 19 959 1131 173
=============> . . . . . . . . . . .
. . . . . . . Q 8255 20 969 1111 143
======================> . . . . . . . . .
. . . . . . . Q 8256 21 971 1200 230
==========> . . . . . . . . . . . .
. . . . . . . Q 8258 22 923 1085 163
=======> . . . . . . . . . . . .
. . . . . . . Q 8261 23 906 1052 147
================>. . . . . . . . . . .
. . . . . . . Q 8262 24 963 1148 186
==> . . . . . . . . . . . . .
. . . . . . . Q 8263 25 839 1002 164
================>. . . . . . . . . . .
. . . . . . . Q 8267 26 975 1145 171
: : : : : : : : : : : : : :
: : : : : : :
1000 1100 1200 1300 1400 1500 1600
1700 1800 1900 2000
PART 5: CORRELATION OF SERIES BY SEGMENTS: Arundel Square, Waterford
12:10 Mon 16 AUG 1999 Page 5
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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 825 850 875 900 925 950 975 1000 1025
1050 1075 1100 1125
874 899 924 949 974 999 1024 1049 1074
1099 1124 1149 1174
--- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ----
---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
1 Q 8228 861 1134 .64 .74 .45 .50 .61 .51 .51 .45
.62 .72 .72
2 Q 8229 939 1085 .49 .56 .69 .67 .59
.54
3 Q 8231 999 1140 .39 .39 .73
.54 .40 .42
4 Q 8232 861 1151 .57 .60 .62 .71 .69 .63 .63 .71
.76 .69 .60 .60
5 Q 8234 917 1121 .39 .62 .76 .74 .67 .69
.61 .57
6 Q 8235 840 1005 .41B .47 .64 .50 .59 .65 .67
7 Q 8238 1011 1144 .68 .60
.66 .52 .44
8 Q 8239 903 1080 .55 .54 .64 .43 .39 .50
.48
9 Q 8241 981 1174 .74 .71 .67
.74 .60 .36 .41
10 Q 8242 938 1079 .61 .59 .54 .55 .66
.66
11 Q 8243 970 1074 .43 .36 .50 .60
12 Q 8244 868 1096 .26A .55 .56 .56 .68 .58 .58 .63
.63
13 Q 8245 890 1085 .20B .25B .50 .75 .71 .63 .53
.48
14 Q 8246 886 1045 .36 .38 .58 .60 .50 .48
15 Q 8247 961 1120 .64 .51 .61 .80
.75 .68
16 Q 8248 981 1148 .36B .36B .67
.81 .77 .60
17 Q 8249 885 1094 -.07B .27A .56 .57 .43 .43 .55
.25B
18 Q 8253 886 1075 .66 .64 .68 .76 .69 .72 .67
.67
19 Q 8254 959 1131 .52 .65 .63 .65
.67 .59 .63
20 Q 8255 969 1111 .62 .58 .48 .41
.45 .52
21 Q 8256 971 1200 .62 .63 .57 .58
.68 .65 .59 .45
22 Q 8258 923 1085 .42 .42 .47 .45 .50 .49
.52
23 Q 8261 906 1052 .00B .33B .59 .53 .41 .37
24 Q 8262 963 1148 .71 .66 .62 .62
.51 .23B .01B
25 Q 8263 839 1002 .33B .39 .57 .58 .46 .33A .37
26 Q 8267 975 1145 .61 .49 .58
.67 .61 .51
PART 6: POTENTIAL PROBLEMS: Arundel Square, Waterford
12:10 Mon 16 AUG 1999 Page 7
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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
=========================================================================
==========================================================
Q 8228 861 to 1134 274 years
Series 1
[B] Entire series, effect on correlation ( .577) is:
Lower 1045 -.010 988 -.009 932 -.009 1134 -.008
Higher 1129 .013 973 .006 1024 .005 1042 .004
=========================================================================
==========================================================
Q 8229 939 to 1085 147 years
Series 2
[B] Entire series, effect on correlation ( .573) is:
Lower 954 -.022 939 -.021 958 -.018 1066 -.015
Higher 1054 .013 973 .012 1006 .009 977 .009
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
939 3.1 SD
=========================================================================
==========================================================
Q 8231 999 to 1140 142 years
Series 3
[B] Entire series, effect on correlation ( .428) is:
Lower 1010 -.023 1140 -.018 1085 -.011 1002 -.011
Higher 1050 .016 1042 .014 1093 .013 1030 .013
=========================================================================
==========================================================
Q 8232 861 to 1151 291 years
Series 4
[B] Entire series, effect on correlation ( .652) is:
Lower 872 -.006 1143 -.006 1082 -.006 931 -.005
Higher 1129 .010 1016 .009 973 .006 1054 .005
=========================================================================
==========================================================
Q 8234 917 to 1121 205 years
Series 5
[B] Entire series, effect on correlation ( .612) is:
Lower 924 -.014 917 -.011 923 -.010 942 -.010
Higher 973 .013 1016 .009 1030 .008 969 .007
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
924 3.8 SD
=========================================================================
==========================================================
Q 8235 840 to 1005 166 years
Series 6
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
840 889 1 - - - - - - - - - .05
.41| .47*-.12 .00 -.19 .09 .02 -.29 -.12 -.16 -.02
[B] Entire series, effect on correlation ( .505) is:
Lower 853 -.020 841 -.016 857 -.015 840 -.013
Higher 973 .023 873 .013 886 .011 963 .009
840 to 889 segment:
Lower 853 -.067 841 -.042 857 -.034 840 -.032
Higher 873 .040 852 .032 886 .032 854 .025
=========================================================================
==========================================================
Q 8238 1011 to 1144 134 years
Series 7
[B] Entire series, effect on correlation ( .571) is:
Lower 1123 -.050 1129 -.019 1025 -.011 1082 -.010
Higher 1042 .011 1054 .010 1091 .010 1016 .010
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1123 -5.0 SD
=========================================================================
==========================================================
Q 8239 903 to 1080 178 years
Series 8
[B] Entire series, effect on correlation ( .528) is:
Lower 1014 -.021 1035 -.016 1004 -.012 943 -.011
Higher 1016 .018 1061 .014 969 .011 1030 .010
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
943 3.1 SD
=========================================================================
==========================================================
Q 8241 981 to 1174 194 years
Series 9
[B] Entire series, effect on correlation ( .585) is:
Lower 1165 -.015 1115 -.011 1122 -.009 1166 -.009
Higher 1016 .014 1061 .009 1152 .008 1091 .007
=========================================================================
==========================================================
Q 8242 938 to 1079 142 years
Series 10
[B] Entire series, effect on correlation ( .602) is:
Lower 1016 -.013 965 -.011 938 -.010 959 -.008
Higher 1061 .017 1050 .012 1006 .011 973 .010
=========================================================================
==========================================================
Q 8243 970 to 1074 105 years
Series 11
[B] Entire series, effect on correlation ( .488) is:
Lower 1020 -.026 994 -.023 1001 -.017 1011 -.016
Higher 1016 .026 1026 .018 1061 .017 1050 .017
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
994 3.0 SD
=========================================================================
==========================================================
Q 8244 868 to 1096 229 years
Series 12
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
868 917 0 .02 -.03 .00 .01 .04 .09 -.12 -.22 -.36 -.12
.26* .12 .13 .04 -.15 .02 .06 .03 .17 -.07 -.02
[B] Entire series, effect on correlation ( .540) is:
Lower 873 -.016 934 -.015 874 -.015 1004 -.012
Higher 1016 .009 1026 .007 1091 .007 921 .006
868 to 917 segment:
Lower 874 -.059 873 -.051 891 -.042 890 -.024
Higher 885 .049 886 .042 915 .025 876 .022
[E] Outliers 2 3.0 SD above or -4.5 SD below mean for year
874 3.9 SD; 1004 -5.0 SD
=========================================================================
==========================================================
Q 8245 890 to 1085 196 years
Series 13
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
890 939 5 .12 .12 .02 -.20 -.12 -.25 -.05 .07 -.01 .07
.20|-.34 .04 -.13 .16 .39* .22 .00 .22 -.09 -.08
900 949 5 .02 .01 .01 -.15 -.02 -.19 -.02 .06 .04 .12
.25|-.27 .10 -.10 .13 .31* .09 -.21 .01 -.19 -.04
[B] Entire series, effect on correlation ( .516) is:
Lower 933 -.014 902 -.013 1084 -.012 1065 -.011
Higher 1016 .019 963 .010 1050 .009 1026 .008
890 to 939 segment:
Lower 902 -.051 913 -.042 896 -.030 904 -.028
Higher 939 .041 928 .033 912 .028 921 .026
900 to 949 segment:
Lower 902 -.043 933 -.043 913 -.035 919 -.029
Higher 939 .036 928 .033 912 .028 921 .025
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1058 3.0 SD
=========================================================================
==========================================================
Q 8246 886 to 1045 160 years
Series 14
[B] Entire series, effect on correlation ( .489) is:
Lower 1015 -.023 908 -.015 911 -.013 957 -.012
Higher 973 .021 1006 .015 977 .012 886 .012
=========================================================================
==========================================================
Q 8247 961 to 1120 160 years
Series 15
[B] Entire series, effect on correlation ( .677) is:
Lower 1011 -.013 1077 -.011 1021 -.010 1110 -.007
Higher 1050 .009 1092 .008 969 .007 1054 .006
=========================================================================
==========================================================
Q 8248 981 to 1148 168 years
Series 16
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
981 1030 -5 .13 -.21 -.03 .00 -.16 .38* .05 -.08 .05 -.39
.36| .10 -.21 -.12 -.05 .33 .01 -.20 .11 -.13 .03
1000 1049 -5 -.08 -.18 .17 -.06 -.12 .42* .01 -.02 .02 -.24
.36|-.05 -.39 .01 -.09 .15 -.08 -.09 .08 -.21 -.15
[B] Entire series, effect on correlation ( .574) is:
Lower 1011 -.038 1004 -.017 1138 -.013 981 -.011
Higher 1030 .011 1092 .011 1054 .010 1093 .008
981 to 1030 segment:
Lower 1011 -.099 1004 -.043 981 -.027 1021 -.026
Higher 1030 .055 1016 .045 1013 .028 994 .027
1000 to 1049 segment:
Lower 1011 -.084 1004 -.047 1021 -.023 1003 -.016
Higher 1030 .053 1016 .045 1042 .035 1013 .026
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1004 3.3 SD
=========================================================================
==========================================================
Q 8249 885 to 1094 210 years
Series 17
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
885 934 -7 -.07 .03 .07 .32* .32 .18 .03 .01 -.04 -.21
-.07|-.28 .09 .06 -.15 -.05 -.04 -.09 .19 -.09 -.27
900 949 0 -.06 .09 -.01 .03 .20 .23 -.02 -.15 -.10 -.07
.27*-.11 .09 .00 -.08 -.01 .07 -.21 .00 -.06 -.24
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - - - - - - - - - - - - - - - - - - - - - - -
1045 1094 -6 -.28 .11 -.19 -.11 .29* .24 -.10 .19 .18 .00
.25|-.03 .02 .12 -.09 .06 .01 -.09 -.19 -.03 -.09
[B] Entire series, effect on correlation ( .331) is:
Lower 1093 -.019 1092 -.018 885 -.018 886 -.015
Higher 973 .014 1050 .012 1029 .011 1034 .010
885 to 934 segment:
Lower 885 -.057 886 -.042 910 -.039 929 -.032
Higher 921 .053 914 .041 917 .040 902 .037
900 to 949 segment:
Lower 910 -.058 929 -.044 927 -.043 905 -.042
Higher 921 .037 949 .032 914 .029 917 .028
1045 to 1094 segment:
Lower 1093 -.070 1092 -.069 1076 -.026 1055 -.020
Higher 1050 .052 1061 .039 1083 .025 1066 .021
[C] Year-to-year changes diverging by over 4.0 std deviations:
1092 1093 -5.2 SD
[E] Outliers 4 3.0 SD above or -4.5 SD below mean for year
885 3.2 SD; 886 3.6 SD; 905 3.3 SD; 1092 3.7 SD
=========================================================================
==========================================================
Q 8253 886 to 1075 190 years
Series 18
[B] Entire series, effect on correlation ( .673) is:
Lower 942 -.011 1017 -.009 918 -.008 1052 -.007
Higher 1042 .006 1061 .006 1034 .005 949 .005
=========================================================================
==========================================================
Q 8254 959 to 1131 173 years
Series 19
[B] Entire series, effect on correlation ( .608) is:
Lower 961 -.015 1123 -.012 998 -.009 1004 -.009
Higher 1016 .015 1061 .011 1042 .009 1129 .008
=========================================================================
==========================================================
Q 8255 969 to 1111 143 years
Series 20
[B] Entire series, effect on correlation ( .528) is:
Lower 1075 -.022 1053 -.018 1070 -.010 1076 -.009
Higher 1054 .016 1104 .013 1042 .011 1006 .010
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1053 3.8 SD
=========================================================================
==========================================================
Q 8256 971 to 1200 230 years
Series 21
[*] Later part of series cannot be checked from 1175 to 1200 -- not
matched by another series
[B] Entire series, effect on correlation ( .564) is:
Lower 1171 -.010 1149 -.009 1165 -.009 1166 -.008
Higher 1129 .015 1092 .011 1152 .010 1050 .008
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1165 3.1 SD
=========================================================================
==========================================================
Q 8258 923 to 1085 163 years
Series 22
[B] Entire series, effect on correlation ( .473) is:
Lower 986 -.016 928 -.015 1016 -.011 1080 -.010
Higher 1054 .018 1061 .015 1006 .014 1042 .013
=========================================================================
==========================================================
Q 8261 906 to 1052 147 years
Series 23
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
906 955 -4 -.15 -.13 -.22 -.06 .02 .06 .32* .14 .17 -.12
.00|-.03 .01 .00 -.02 -.12 .13 -.07 .26 -.08 -.18
925 974 8 -.16 -.03 .12 .00 .13 -.14 .33 -.04 -.09 -.03
.33| .11 -.04 -.09 -.13 -.09 -.06 -.01 .34*-.01 -.11
[B] Entire series, effect on correlation ( .354) is:
Lower 941 -.023 923 -.016 1051 -.013 929 -.013
Higher 973 .043 963 .019 1030 .019 1024 .015
906 to 955 segment:
Lower 941 -.047 923 -.043 929 -.034 921 -.028
Higher 918 .047 932 .037 914 .027 912 .027
925 to 974 segment:
Lower 941 -.060 929 -.037 950 -.032 930 -.025
Higher 973 .142 963 .058 969 .021 932 .020
[E] Outliers 1 3.0 SD above or -4.5 SD below mean for year
1036 3.0 SD
=========================================================================
==========================================================
Q 8262 963 to 1148 186 years
Series 24
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
1075 1124 -6 .06 .15 .27 -.07 .34* .02 .21 -.11 .05 -.34
.23|-.21 .23 .07 .28 -.40 .08 -.37 -.02 -.41 .07
1099 1148 -8 -.01 .13 .36*-.13 .09 .05 .28 .09 .03 -.17
.01| .03 -.11 .11 -.12 -.12 -.16 .01 -.02 -.04 -.04
[B] Entire series, effect on correlation ( .448) is:
Lower 1128 -.027 1103 -.016 1124 -.014 1088 -.014
Higher 1016 .012 1006 .011 1061 .011 1024 .011
1075 to 1124 segment:
Lower 1088 -.050 1103 -.049 1124 -.044 1091 -.036
Higher 1093 .050 1075 .040 1118 .029 1083 .025
1099 to 1148 segment:
Lower 1128 -.072 1103 -.044 1124 -.040 1145 -.027
Higher 1129 .045 1118 .043 1138 .038 1146 .036
[E] Outliers 2 3.0 SD above or -4.5 SD below mean for year
1103 3.9 SD; 1124 3.1 SD
=========================================================================
==========================================================
Q 8263 839 to 1002 164 years
Series 25
[*] Early part of series cannot be checked from 839 to 839 -- not
matched by another series
[A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0 1 2 3 4 5 6 7 8 9 10
--------- ---- --- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- --- ---
840 889 -1